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edit and broken links in docs qbk only, locally builds and passed inspect program [CI SKIP]

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;20.&#160;Backgrounders</title>
<link rel="stylesheet" href="math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="index.html" title="Math Toolkit 2.6.2">
<link rel="up" href="index.html" title="Math Toolkit 2.6.2">
<link rel="prev" href="math_toolkit/perf_test_app.html" title="The Performance Test Applications">
@@ -27,7 +27,7 @@
<a name="backgrounders"></a>Chapter&#160;20.&#160;Backgrounders</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/sf_implementation.html">Additional Implementation
Notes</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special_tut.html">Tutorial: How to Write a New

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;4.&#160;Mathematical Constants</title>
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<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
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<link rel="prev" href="math_toolkit/float128/typeinfo.html" title="typeinfo">
@@ -27,7 +27,7 @@
<a name="constants"></a>Chapter&#160;4.&#160;Mathematical Constants</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/constants_intro.html">Introduction</a></span></dt>
<dt><span class="section"><a href="math_toolkit/tutorial.html">Tutorial</a></span></dt>
<dd><dl>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;3.&#160;Specified-width floating-point typedefs</title>
<link rel="stylesheet" href="math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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<link rel="home" href="index.html" title="Math Toolkit 2.6.2">
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<link rel="prev" href="math_toolkit/float_comparison.html" title="Floating-point Comparison">
@@ -27,7 +27,7 @@
<a name="cstdfloat"></a>Chapter&#160;3.&#160;Specified-width floating-point typedefs</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/specified_typedefs.html">Overview</a></span></dt>
<dt><span class="section"><a href="math_toolkit/rationale.html">Rationale</a></span></dt>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;5.&#160;Statistical Distributions and Functions</title>
<link rel="stylesheet" href="math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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<link rel="prev" href="math_toolkit/constants_faq.html" title="FAQs">
@@ -27,7 +27,7 @@
<a name="dist"></a>Chapter&#160;5.&#160;Statistical Distributions and Functions</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/stat_tut.html">Statistical Distributions Tutorial</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/stat_tut/overview.html">Overview of Distributions</a></span></dt>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;7.&#160;TR1 and C99 external "C" Functions</title>
<link rel="stylesheet" href="math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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<link rel="home" href="index.html" title="Math Toolkit 2.6.2">
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<link rel="prev" href="math_toolkit/owens_t.html" title="Owen's T function">
@@ -27,7 +27,7 @@
<a name="extern_c"></a>Chapter&#160;7.&#160;TR1 and C99 external "C" Functions</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/main_tr1.html">C99 and TR1 C Functions Overview</a></span></dt>
<dt><span class="section"><a href="math_toolkit/c99.html">C99 C Functions</a></span></dt>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;15.&#160;Integer Utilities (Greatest Common Divisor and Least Common Multiple)</title>
<link rel="stylesheet" href="math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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@@ -93,7 +93,7 @@ This manual is also available in <a href="http://sourceforge.net/projects/boost/
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<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="chapter"><a href="overview.html">1. Overview</a></span></dt>
<dt><span class="chapter"><a href="utils.html">2. Floating Point Utilities</a></span></dt>
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@@ -122,7 +122,7 @@ This manual is also available in <a href="http://sourceforge.net/projects/boost/
</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: September 02, 2018 at 07:28:45 GMT</small></p></td>
<td align="left"><p><small>Last revised: October 04, 2018 at 13:21:42 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>

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<title>Chapter&#160;22.&#160;Indexes</title>
<link rel="stylesheet" href="math.css" type="text/css">
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<link rel="prev" href="math_toolkit/credits.html" title="Credits and Acknowledgements">
@@ -27,7 +27,7 @@
<a name="indexes"></a>Chapter&#160;22.&#160;Indexes</h1></div></div></div>
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<dl class="toc">
<dl>
<dt><span class="section"><a href="indexes/s01.html">Function Index</a></span></dt>
<dt><span class="section"><a href="indexes/s02.html">Class Index</a></span></dt>
<dt><span class="section"><a href="indexes/s03.html">Typedef Index</a></span></dt>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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@@ -24,7 +24,7 @@
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<dt>
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<p><span class="index-entry-level-0">brent_find_minima</span></p>
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<p><span class="index-entry-level-0">ln</span></p>
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</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">location</span></p>
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<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">Cauchy-Lorentz Distribution</span></a></p></li>
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<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">msg</span></p>
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</li>
@@ -2396,6 +2384,7 @@
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">prime</span></p>
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<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">Barycentric Rational Interpolation</span></a></p></li>
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@@ -2517,13 +2506,6 @@
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<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">required</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li>
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</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">riemann_zeta</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/overview_tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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@@ -24,7 +24,7 @@
</div>
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1817067"></a>Class Index</h2></div></div></div>
<a name="id1879491"></a>Class Index</h2></div></div></div>
<p><a class="link" href="s02.html#idx_id_32">A</a> <a class="link" href="s02.html#idx_id_33">B</a> <a class="link" href="s02.html#idx_id_34">C</a> <a class="link" href="s02.html#idx_id_35">D</a> <a class="link" href="s02.html#idx_id_36">E</a> <a class="link" href="s02.html#idx_id_37">F</a> <a class="link" href="s02.html#idx_id_38">G</a> <a class="link" href="s02.html#idx_id_39">H</a> <a class="link" href="s02.html#idx_id_40">I</a> <a class="link" href="s02.html#idx_id_43">L</a> <a class="link" href="s02.html#idx_id_44">M</a> <a class="link" href="s02.html#idx_id_45">N</a> <a class="link" href="s02.html#idx_id_46">O</a> <a class="link" href="s02.html#idx_id_47">P</a> <a class="link" href="s02.html#idx_id_48">Q</a> <a class="link" href="s02.html#idx_id_49">R</a> <a class="link" href="s02.html#idx_id_50">S</a> <a class="link" href="s02.html#idx_id_51">T</a> <a class="link" href="s02.html#idx_id_52">U</a> <a class="link" href="s02.html#idx_id_54">W</a></p>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Typedef Index</title>
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@@ -24,7 +24,7 @@
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<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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@@ -24,7 +24,7 @@
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<div class="section">
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<a name="id1821904"></a>Macro Index</h2></div></div></div>
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<p><a class="link" href="s04.html#idx_id_91">B</a> <a class="link" href="s04.html#idx_id_95">F</a></p>
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54
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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@@ -23,7 +23,7 @@
</div>
<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1825067"></a>Index</h2></div></div></div>
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<p><a class="link" href="s05.html#idx_id_116">1</a> <a class="link" href="s05.html#idx_id_117">2</a> <a class="link" href="s05.html#idx_id_118">4</a> <a class="link" href="s05.html#idx_id_119">A</a> <a class="link" href="s05.html#idx_id_120">B</a> <a class="link" href="s05.html#idx_id_121">C</a> <a class="link" href="s05.html#idx_id_122">D</a> <a class="link" href="s05.html#idx_id_123">E</a> <a class="link" href="s05.html#idx_id_124">F</a> <a class="link" href="s05.html#idx_id_125">G</a> <a class="link" href="s05.html#idx_id_126">H</a> <a class="link" href="s05.html#idx_id_127">I</a> <a class="link" href="s05.html#idx_id_128">J</a> <a class="link" href="s05.html#idx_id_129">K</a> <a class="link" href="s05.html#idx_id_130">L</a> <a class="link" href="s05.html#idx_id_131">M</a> <a class="link" href="s05.html#idx_id_132">N</a> <a class="link" href="s05.html#idx_id_133">O</a> <a class="link" href="s05.html#idx_id_134">P</a> <a class="link" href="s05.html#idx_id_135">Q</a> <a class="link" href="s05.html#idx_id_136">R</a> <a class="link" href="s05.html#idx_id_137">S</a> <a class="link" href="s05.html#idx_id_138">T</a> <a class="link" href="s05.html#idx_id_139">U</a> <a class="link" href="s05.html#idx_id_140">V</a> <a class="link" href="s05.html#idx_id_141">W</a> <a class="link" href="s05.html#idx_id_142">X</a> <a class="link" href="s05.html#idx_id_143">Y</a> <a class="link" href="s05.html#idx_id_144">Z</a></p>
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@@ -480,6 +480,7 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">operator</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">prime</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">r</span></a></p></li>
</ul></div>
</li>
@@ -995,6 +996,10 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">branch</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">brent_find_minima</span></p>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">Locating Function Minima using Brent's algorithm</span></a></p></li></ul></div>
</li>
@@ -3774,7 +3779,6 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Frequently Asked Questions FAQ"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Frequently Asked Questions FAQ"><span class="index-entry-level-1">Cephes</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Frequently Asked Questions FAQ"><span class="index-entry-level-1">distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Frequently Asked Questions FAQ"><span class="index-entry-level-1">more</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Frequently Asked Questions FAQ"><span class="index-entry-level-1">P</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Frequently Asked Questions FAQ"><span class="index-entry-level-1">performance</span></a></p></li>
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@@ -3980,7 +3984,6 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">BOOST_MATH_DISCRETE_QUANTILE_POLICY</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">BOOST_MATH_OVERFLOW_ERROR_POLICY</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">more</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">normal</span></a></p></li>
</ul></div>
</li>
@@ -4543,7 +4546,6 @@
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">data</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">more</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">performance</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">scale</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">small</span></a></p></li>
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<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">al</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">BOOST_MATH_TEST_VALUE</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">branch</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">float</span></a></p></li>
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<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">lambert_w0_prime</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">lambert_wm1</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">lambert_wm1_prime</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">ln</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">lookup_t</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">message</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">range</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">refinement</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">required</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">small</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">step</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">W</span></a></p></li>
@@ -5109,13 +5110,6 @@
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/rounding/trunc.html" title="Truncation Functions"><span class="index-entry-level-1">Truncation Functions</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">ln</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants.html#math_toolkit.constants.mathematical_constants" title="Table&#160;4.1.&#160;Mathematical Constants"><span class="index-entry-level-1">Mathematical Constants</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Locating Function Minima using Brent's algorithm</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/brent_minima.html" title="Locating Function Minima using Brent's algorithm"><span class="index-entry-level-1">abscissa</span></a></p></li>
@@ -5337,10 +5331,7 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Mathematical Constants</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../constants.html" title="Chapter&#160;4.&#160;Mathematical Constants"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants.html#math_toolkit.constants.mathematical_constants" title="Table&#160;4.1.&#160;Mathematical Constants"><span class="index-entry-level-1">ln</span></a></p></li>
</ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../constants.html" title="Chapter&#160;4.&#160;Mathematical Constants"><span class="index-entry-level-1">constants</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Mathematically Undefined Function Policies</span></p>
@@ -5416,15 +5407,6 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">more</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_faq.html" title="Frequently Asked Questions FAQ"><span class="index-entry-level-1">Frequently Asked Questions FAQ</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">Geometric Distribution Examples</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html" title="Inverse Chi-Squared Distribution Bayes Example"><span class="index-entry-level-1">Inverse Chi-Squared Distribution Bayes Example</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">Using Boost.Multiprecision</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">More complex example - Inverting the Elliptic Integrals</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/root_finding_examples/elliptic_eg.html" title="A More complex example - Inverting the Elliptic Integrals"><span class="index-entry-level-1">accuracy</span></a></p></li>
@@ -6166,6 +6148,7 @@
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">prime</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/barycentric.html" title="Barycentric Rational Interpolation"><span class="index-entry-level-1">Barycentric Rational Interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/chebyshev.html" title="Chebyshev Polynomials"><span class="index-entry-level-1">Chebyshev Polynomials</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/cubic_b.html" title="Cubic B-spline interpolation"><span class="index-entry-level-1">Cubic B-spline interpolation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_poly/legendre_stieltjes.html" title="Legendre-Stieltjes Polynomials"><span class="index-entry-level-1">Legendre-Stieltjes Polynomials</span></a></p></li>
@@ -6431,13 +6414,6 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">required</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/lambert_w.html" title="Lambert W function"><span class="index-entry-level-1">Lambert W function</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_levels.html" title="Setting the Maximum Interval Halvings and Memory Requirements"><span class="index-entry-level-1">Setting the Maximum Interval Halvings and Memory Requirements</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Riemann Zeta Function</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/zetas/zeta.html" title="Riemann Zeta Function"><span class="index-entry-level-1">accuracy</span></a></p></li>
@@ -6737,10 +6713,7 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Setting the Maximum Interval Halvings and Memory Requirements</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_levels.html" title="Setting the Maximum Interval Halvings and Memory Requirements"><span class="index-entry-level-1">accuracy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_levels.html" title="Setting the Maximum Interval Halvings and Memory Requirements"><span class="index-entry-level-1">required</span></a></p></li>
</ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/double_exponential/de_levels.html" title="Setting the Maximum Interval Halvings and Memory Requirements"><span class="index-entry-level-1">accuracy</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">set_zero</span></p>
@@ -7580,10 +7553,7 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Using Boost.Multiprecision</span></p>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">more</span></a></p></li>
</ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/high_precision/use_multiprecision.html" title="Using Boost.Multiprecision"><span class="index-entry-level-1">constants</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Using C++11 Lambda's</span></p>

4
doc/html/internals.html
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;16.&#160;Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools</title>
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<link rel="prev" href="gcd_lcm.html" title="Chapter&#160;15.&#160;Integer Utilities (Greatest Common Divisor and Least Common Multiple)">
@@ -28,7 +28,7 @@
and Development Tools</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/internals_overview.html">Overview</a></span></dt>
<dt><span class="section"><a href="math_toolkit/internals.html">Internal tools</a></span></dt>
<dd><dl>

4
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;10.&#160;Interpolation</title>
<link rel="stylesheet" href="math.css" type="text/css">
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<link rel="prev" href="math_toolkit/rational.html" title="Polynomial and Rational Function Evaluation">
@@ -27,7 +27,7 @@
<a name="interpolation"></a>Chapter&#160;10.&#160;Interpolation</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/cubic_b.html">Cubic B-spline interpolation</a></span></dt>
<dt><span class="section"><a href="math_toolkit/barycentric.html">Barycentric Rational Interpolation</a></span></dt>
</dl>

4
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Chapter&#160;12.&#160;Complex Number Functions</title>
<link rel="stylesheet" href="math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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<link rel="prev" href="math_toolkit/diff.html" title="Numerical Differentiation">
@@ -27,7 +27,7 @@
<a name="inverse_complex"></a>Chapter&#160;12.&#160;Complex Number Functions</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dl>
<dt><span class="section"><a href="math_toolkit/complex_implementation.html">Implementation and
Accuracy</a></span></dt>
<dt><span class="section"><a href="math_toolkit/asin.html">asin</a></span></dt>

2
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@@ -3,7 +3,7 @@
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<link rel="up" href="../quaternions.html" title="Chapter&#160;13.&#160;Quaternions">
<link rel="prev" href="exp.html" title="The Quaternionic Exponential">

2
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@@ -3,7 +3,7 @@
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<link rel="prev" href="oct_tests.html" title="Test Program">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>acos</title>
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<link rel="prev" href="asin.html" title="asin">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>acosh</title>
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<link rel="prev" href="asinh.html" title="asinh">

4
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Airy Functions</title>
<link rel="stylesheet" href="../math.css" type="text/css">
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<link rel="prev" href="hankel/sph_hankel.html" title="Spherical Hankel Functions">
@@ -26,7 +26,7 @@
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.airy"></a><a class="link" href="airy.html" title="Airy Functions">Airy Functions</a>
</h2></div></div></div>
<div class="toc"><dl class="toc">
<div class="toc"><dl>
<dt><span class="section"><a href="airy/ai.html">Airy Ai Function</a></span></dt>
<dt><span class="section"><a href="airy/bi.html">Airy Bi Function</a></span></dt>
<dt><span class="section"><a href="airy/aip.html">Airy Ai' Function</a></span></dt>

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Airy Ai Function</title>
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<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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<link rel="up" href="../airy.html" title="Airy Functions">
<link rel="prev" href="../airy.html" title="Airy Functions">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Airy Ai' Function</title>
<link rel="stylesheet" href="../../math.css" type="text/css">
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<link rel="up" href="../airy.html" title="Airy Functions">
<link rel="prev" href="bi.html" title="Airy Bi Function">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Finding Zeros of Airy Functions</title>
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<link rel="prev" href="bip.html" title="Airy Bi' Function">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Airy Bi Function</title>
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2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<link rel="prev" href="aip.html" title="Airy Ai' Function">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Conceptual Archetypes for Reals and Distributions</title>
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<link rel="prev" href="dist_concept.html" title="Conceptual Requirements for Distribution Types">

2
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@@ -3,7 +3,7 @@
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<link rel="prev" href="complex_implementation.html" title="Implementation and Accuracy">

2
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@@ -3,7 +3,7 @@
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<link rel="prev" href="atan.html" title="atan">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>atan</title>
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<link rel="prev" href="acos.html" title="acos">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>atanh</title>
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<link rel="prev" href="acosh.html" title="acosh">

2
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>The Effect of a Poor Initial Guess</title>
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<link rel="prev" href="root_finding_examples/elliptic_eg.html" title="A More complex example - Inverting the Elliptic Integrals">

10
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Examples Where Root Finding Goes Wrong</title>
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<link rel="prev" href="bad_guess.html" title="The Effect of a Poor Initial Guess">
@@ -40,7 +40,7 @@
If you start in the wrong place, such as z<sub>0</sub> here:
</p>
<p>
<span class="inlinemediaobject"><object type="image/svg+xml" data="../../roots/bad_root_1.svg" width="372" height="262"></object></span>
<span class="inlinemediaobject"><object type="image/svg+xml" data="../../roots/bad_root_1.svg" width="372.047244094489" height="262.204724409449"></object></span>
</p>
<p>
Then almost any root-finding algorithm will descend into a local minima rather
@@ -55,7 +55,7 @@
is essentially zero:
</p>
<p>
<span class="inlinemediaobject"><object type="image/svg+xml" data="../../roots/bad_root_2.svg" width="372" height="262"></object></span>
<span class="inlinemediaobject"><object type="image/svg+xml" data="../../roots/bad_root_2.svg" width="372.047244094489" height="262.204724409449"></object></span>
</p>
<p>
In this situation the next iteration will shoot off to infinity (assuming we're
@@ -75,7 +75,7 @@
this case:
</p>
<p>
<span class="inlinemediaobject"><object type="image/svg+xml" data="../../roots/bad_root_4.svg" width="372" height="262"></object></span>
<span class="inlinemediaobject"><object type="image/svg+xml" data="../../roots/bad_root_4.svg" width="372.047244094489" height="262.204724409449"></object></span>
</p>
<p>
An initial Newton step would take you further from the root than you started,
@@ -90,7 +90,7 @@
Consider starting at z<sub>0</sub> in this situation:
</p>
<p>
<span class="inlinemediaobject"><object type="image/svg+xml" data="../../roots/bad_root_3.svg" width="372" height="262"></object></span>
<span class="inlinemediaobject"><object type="image/svg+xml" data="../../roots/bad_root_3.svg" width="372.047244094489" height="262.204724409449"></object></span>
</p>
<p>
The first derivative is essentially infinite, and the second close to zero

13
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Barycentric Rational Interpolation</title>
<link rel="stylesheet" href="../math.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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<link rel="up" href="../interpolation.html" title="Chapter&#160;10.&#160;Interpolation">
<link rel="prev" href="cubic_b.html" title="Cubic B-spline interpolation">
@@ -42,6 +42,8 @@
<span class="identifier">barycentric_rational</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">Real</span><span class="special">*</span> <span class="keyword">const</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">Real</span><span class="special">*</span> <span class="keyword">const</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">size_t</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">size_t</span> <span class="identifier">approximation_order</span> <span class="special">=</span> <span class="number">3</span><span class="special">);</span>
<span class="identifier">Real</span> <span class="keyword">operator</span><span class="special">()(</span><span class="identifier">Real</span> <span class="identifier">x</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
<span class="identifier">Real</span> <span class="identifier">prime</span><span class="special">(</span><span class="identifier">Real</span> <span class="identifier">x</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
<span class="special">};</span>
<span class="special">}}</span>
@@ -78,6 +80,11 @@
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">x</span> <span class="special">=</span> <span class="number">2.3</span><span class="special">;</span>
<span class="keyword">double</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">interpolant</span><span class="special">(</span><span class="identifier">x</span><span class="special">);</span>
</pre>
<p>
and to evaluate its derivative use
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">interpolant</span><span class="special">.</span><span class="identifier">prime</span><span class="special">(</span><span class="identifier">x</span><span class="special">);</span>
</pre>
<p>
Although this algorithm is robust, it can surprise you. The main way this occurs
is if the sample spacing at the endpoints is much larger than the spacing in
@@ -87,7 +94,9 @@
</p>
<p>
The reference used for implementation of this algorithm is <a href="https://web.archive.org/save/_embed/http://www.mn.uio.no/math/english/people/aca/michaelf/papers/rational.pdf" target="_top">Barycentric
rational interpolation with no poles and a high rate of interpolation</a>.
rational interpolation with no poles and a high rate of interpolation</a>,
and the evaluation of the derivative is given by <a href="http://www.ams.org/journals/mcom/1986-47-175/S0025-5718-1986-0842136-8/S0025-5718-1986-0842136-8.pdf" target="_top">Some
New Aspects of Rational Interpolation</a>.
</p>
<h4>
<a name="math_toolkit.barycentric.h2"></a>

4
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@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Bessel Functions</title>
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<link rel="prev" href="sf_poly/sph_harm.html" title="Spherical Harmonics">
@@ -26,7 +26,7 @@
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.bessel"></a><a class="link" href="bessel.html" title="Bessel Functions">Bessel Functions</a>
</h2></div></div></div>
<div class="toc"><dl class="toc">
<div class="toc"><dl>
<dt><span class="section"><a href="bessel/bessel_over.html">Bessel Function Overview</a></span></dt>
<dt><span class="section"><a href="bessel/bessel_first.html">Bessel Functions of
the First and Second Kinds</a></span></dt>

2
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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2
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<link rel="prev" href="bessel_over.html" title="Bessel Function Overview">

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@@ -3,7 +3,7 @@
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Introduction</title>
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<title>Document Conventions</title>
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<link rel="prev" href="navigation.html" title="Navigation">
@@ -27,7 +27,7 @@
<a name="math_toolkit.conventions"></a><a class="link" href="conventions.html" title="Document Conventions">Document Conventions</a>
</h2></div></div></div>
<p>
<a class="indexterm" name="id909500"></a>
<a class="indexterm" name="id969823"></a>
</p>
<p>
This documentation aims to use of the following naming and formatting conventions.

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Quaternion Creation Functions</title>
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<link rel="prev" href="value_op.html" title="Quaternion Value Operations">

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<link rel="prev" href="issues.html" title="Known Issues, and TODO List">

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Cubic B-spline interpolation</title>
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<link rel="prev" href="../interpolation.html" title="Chapter&#160;10.&#160;Interpolation">
@@ -39,7 +39,7 @@
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">BidiIterator</span><span class="special">&gt;</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">BidiIterator</span><span class="special">&gt;</span>
<span class="identifier">cubic_b_spline</span><span class="special">(</span><span class="identifier">BidiIterator</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">BidiIterator</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">Real</span> <span class="identifier">left_endpoint</span><span class="special">,</span> <span class="identifier">Real</span> <span class="identifier">step_size</span><span class="special">,</span>
<span class="identifier">Real</span> <span class="identifier">left_endpoint_derivative</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">Real</span><span class="special">&gt;::</span><span class="identifier">quiet_NaN</span><span class="special">(),</span>
<span class="identifier">Real</span> <span class="identifier">right_endpoint_derivative</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">Real</span><span class="special">&gt;::</span><span class="identifier">quiet_NaN</span><span class="special">());</span>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Numerical Differentiation</title>
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<link rel="prev" href="naive_monte_carlo.html" title="Naive Monte Carlo Integration">

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<link rel="prev" href="hints.html" title="Other Hints and tips">

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<link rel="prev" href="real_concepts.html" title="Conceptual Requirements for Real Number Types">

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<link rel="prev" href="stat_tut/dist_params.html" title="Discrete Probability Distributions">
@@ -26,7 +26,7 @@
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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</h2></div></div></div>
<div class="toc"><dl class="toc">
<div class="toc"><dl>
<dt><span class="section"><a href="dist_ref/nmp.html">Non-Member Properties</a></span></dt>
<dt><span class="section"><a href="dist_ref/dists.html">Distributions</a></span></dt>
<dd><dl>

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<link rel="prev" href="dists/weibull_dist.html" title="Weibull Distribution">

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@@ -26,7 +26,7 @@
<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.dist_ref.dists"></a><a class="link" href="dists.html" title="Distributions">Distributions</a>
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<div class="toc"><dl class="toc">
<div class="toc"><dl>
<dt><span class="section"><a href="dists/arcine_dist.html">Arcsine Distribution</a></span></dt>
<dt><span class="section"><a href="dists/bernoulli_dist.html">Bernoulli
Distribution</a></span></dt>

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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<title>Cauchy-Lorentz Distribution</title>
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<title>F Distribution</title>
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<title>Gamma (and Erlang) Distribution</title>
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<title>Inverse Chi Squared Distribution</title>
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<title>Inverse Gamma Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Inverse Gaussian (or Inverse Normal) Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Laplace Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Logistic Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Log Normal Distribution</title>
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<title>Noncentral Beta Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral Chi-Squared Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral F Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Noncentral T Distribution</title>
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<title>Negative Binomial Distribution</title>
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<title>Normal (Gaussian) Distribution</title>
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<title>Poisson Distribution</title>
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<title>Rayleigh Distribution</title>
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<title>Skew Normal Distribution</title>
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<title>Students t Distribution</title>
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<title>Triangular Distribution</title>
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<title>Uniform Distribution</title>
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<title>Weibull Distribution</title>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Non-Member Properties</title>
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<title>Double-exponential quadrature</title>
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.double_exponential"></a><a class="link" href="double_exponential.html" title="Double-exponential quadrature">Double-exponential quadrature</a>
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<div class="toc"><dl class="toc">
<div class="toc"><dl>
<dt><span class="section"><a href="double_exponential/de_overview.html">Overview</a></span></dt>
<dt><span class="section"><a href="double_exponential/de_tanh_sinh.html">tanh_sinh</a></span></dt>
<dt><span class="section"><a href="double_exponential/de_tanh_sinh_2_arg.html">Handling

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