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@@ -122,7 +122,7 @@ This manual is also available in <a href="http://sourceforge.net/projects/boost/
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<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 07, 2018 at 08:18:47 GMT</small></p></td>
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</div>
<div class="section">
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<a name="id1792030"></a>Function Index</h2></div></div></div>
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@@ -965,6 +965,7 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
</ul></div>
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@@ -1955,13 +1956,6 @@
<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>
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<p><span class="index-entry-level-0">ln</span></p>
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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 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>
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<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>
@@ -2150,15 +2144,6 @@
</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>
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<p><span class="index-entry-level-0">msg</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/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers"><span class="index-entry-level-1">Calling User Defined Error Handlers</span></a></p></li></ul></div>
</li>
@@ -2396,6 +2381,7 @@
<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>
@@ -2517,13 +2503,6 @@
</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>
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<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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</div>
<div class="section">
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<a name="id1817067"></a>Class Index</h2></div></div></div>
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</div>
<div class="section">
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<a name="id1819414"></a>Typedef Index</h2></div></div></div>
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<p><a class="link" href="s03.html#idx_id_61">A</a> <a class="link" href="s03.html#idx_id_62">B</a> <a class="link" href="s03.html#idx_id_63">C</a> <a class="link" href="s03.html#idx_id_64">D</a> <a class="link" href="s03.html#idx_id_65">E</a> <a class="link" href="s03.html#idx_id_66">F</a> <a class="link" href="s03.html#idx_id_67">G</a> <a class="link" href="s03.html#idx_id_68">H</a> <a class="link" href="s03.html#idx_id_69">I</a> <a class="link" href="s03.html#idx_id_72">L</a> <a class="link" href="s03.html#idx_id_74">N</a> <a class="link" href="s03.html#idx_id_75">O</a> <a class="link" href="s03.html#idx_id_76">P</a> <a class="link" href="s03.html#idx_id_78">R</a> <a class="link" href="s03.html#idx_id_79">S</a> <a class="link" href="s03.html#idx_id_80">T</a> <a class="link" href="s03.html#idx_id_81">U</a> <a class="link" href="s03.html#idx_id_82">V</a> <a class="link" href="s03.html#idx_id_83">W</a></p>
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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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<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>
@@ -2615,6 +2616,7 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/sf_erf/error_function.html" title="Error Functions"><span class="index-entry-level-1">Error Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">History and What's New</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
@@ -3774,7 +3776,6 @@
<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>
</ul></div>
@@ -3980,7 +3981,6 @@
<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>
@@ -4169,6 +4169,7 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">airy_bi_zero</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><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/history1.html" title="History and What's New"><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/history1.html" title="History and What's New"><span class="index-entry-level-1">erf</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><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/history1.html" title="History and What's New"><span class="index-entry-level-1">freedom</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/history1.html" title="History and What's New"><span class="index-entry-level-1">functions</span></a></p></li>
@@ -4543,7 +4544,6 @@
<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>
@@ -4881,12 +4881,10 @@
<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 +5107,6 @@
<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 +5328,7 @@
</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 +5404,6 @@
</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 +6145,7 @@
<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 +6411,6 @@
</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 +6710,7 @@
</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 +7550,7 @@
</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>

11
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@@ -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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@@ -58,8 +58,8 @@
<dl class="variablelist">
<dt><span class="term">f</span></dt>
<dd><p>
The function to minimise: a function object (functor) that should be
smooth over the range <span class="emphasis"><em>[min, max]</em></span>, with no maxima
The function to minimise: a function object (or C++ lambda) that should
be smooth over the range <span class="emphasis"><em>[min, max]</em></span>, with no maxima
occurring in that interval.
</p></dd>
<dt><span class="term">min</span></dt>

2
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View File

@@ -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="id913129"></a>
</p>
<p>
This documentation aims to use of the following naming and formatting conventions.

60
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@@ -27,19 +27,69 @@
<a name="math_toolkit.history1"></a><a class="link" href="history1.html" title="History and What's New">History and What's New</a>
</h2></div></div></div>
<p>
Currently open bug reports can be viewed <a href="https://svn.boost.org/trac/boost/query?status=assigned&amp;status=new&amp;status=reopened&amp;component=math&amp;col=id&amp;col=summary&amp;col=status&amp;col=type&amp;col=milestone&amp;col=component&amp;order=priority" target="_top">here</a>.
Currently open bug reports can be viewed <a href="https://github.com/boostorg/math/issues" target="_top">here</a>.
</p>
<p>
All bug reports including closed ones can be viewed <a href="https://svn.boost.org/trac/boost/query?status=assigned&amp;status=closed&amp;status=new&amp;status=reopened&amp;component=math&amp;col=id&amp;col=summary&amp;col=status&amp;col=type&amp;col=milestone&amp;col=component&amp;order=priority" target="_top">here</a>.
All bug reports including closed ones can be viewed <a href="https://svn.boost.org/trac/boost/query?status=assigned&amp;status=closed&amp;status=new&amp;status=reopened&amp;component=math&amp;col=id&amp;col=summary&amp;col=status&amp;col=type&amp;col=milestone&amp;col=component&amp;order=priority" target="_top">here</a>
and <a href="https://github.com/boostorg/math/issues?utf8=%E2%9C%93&amp;q=is%3Aissue" target="_top">here</a>.
</p>
<h5>
<a name="math_toolkit.history1.h0"></a>
<span class="phrase"><a name="math_toolkit.history1.math_2_7_2_boost_1_69"></a></span><a class="link" href="history1.html#math_toolkit.history1.math_2_7_2_boost_1_69">Math-2.7.2
<span class="phrase"><a name="math_toolkit.history1.math_2_8_0_boost_1_69"></a></span><a class="link" href="history1.html#math_toolkit.history1.math_2_8_0_boost_1_69">Math-2.8.0
(Boost-1.69)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Add LambertW functions.
</li>
<li class="listitem">
Minor fixes to better support variable precision floating point types.
</li>
<li class="listitem">
Removed use of deprecated Boost.Endian in favour of Predef.
</li>
<li class="listitem">
Added the derivative of the Barycentric rational approximation.
</li>
<li class="listitem">
Updated continued fraction and series evaluation code to support complex
types.
</li>
<li class="listitem">
Prevent logic error leading to infinite loop in toms748_solve. See <a href="https://github.com/boostorg/math/issues/138" target="_top">#138</a>.
</li>
<li class="listitem">
Fix mean and standard_deviation for extreme_value_distribution. See <a href="https://github.com/boostorg/math/issues/139" target="_top">#139</a>.
</li>
<li class="listitem">
Improve heuristics used in newton_raphson_iterate. See <a href="https://github.com/boostorg/math/issues/145" target="_top">#145</a>.
</li>
<li class="listitem">
Fix result of <code class="computeroutput"><span class="identifier">erf</span><span class="special">(</span><span class="identifier">NaN</span><span class="special">)</span></code>.
See <a href="https://github.com/boostorg/math/issues/141" target="_top">#141</a>.
</li>
<li class="listitem">
Big push to reduce GCC warnings. See <a href="https://github.com/boostorg/math/issues/136" target="_top">#136</a>.
</li>
<li class="listitem">
Refactor polynomial addition. See <a href="https://github.com/boostorg/math/pull/132" target="_top">PR132</a>.
</li>
<li class="listitem">
Fix for vxWorks having a <code class="computeroutput"><span class="identifier">real</span></code>
function in the global namespace. See <a href="https://github.com/boostorg/math/pull/131" target="_top">PR131</a>.
</li>
<li class="listitem">
Improve <code class="computeroutput"><span class="identifier">sinc</span></code> approximations
and add better tests.
</li>
<li class="listitem">
Fix typo in Student's T hypothesis testing documentation, see <a href="https://github.com/boostorg/math/issues/143" target="_top">#143</a>.
</li></ul></div>
</li>
<li class="listitem">
Update integration routines to support complex valued integrands and contour
integrals.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history1.h1"></a>
<span class="phrase"><a name="math_toolkit.history1.math_2_7_1_boost_1_68"></a></span><a class="link" href="history1.html#math_toolkit.history1.math_2_7_1_boost_1_68">Math-2.7.1

60
doc/html/math_toolkit/history2.html
View File

@@ -27,19 +27,69 @@
<a name="math_toolkit.history2"></a><a class="link" href="history2.html" title="History and What's New">History and What's New</a>
</h2></div></div></div>
<p>
Currently open bug reports can be viewed <a href="https://svn.boost.org/trac/boost/query?status=assigned&amp;status=new&amp;status=reopened&amp;component=math&amp;col=id&amp;col=summary&amp;col=status&amp;col=type&amp;col=milestone&amp;col=component&amp;order=priority" target="_top">here</a>.
Currently open bug reports can be viewed <a href="https://github.com/boostorg/math/issues" target="_top">here</a>.
</p>
<p>
All bug reports including closed ones can be viewed <a href="https://svn.boost.org/trac/boost/query?status=assigned&amp;status=closed&amp;status=new&amp;status=reopened&amp;component=math&amp;col=id&amp;col=summary&amp;col=status&amp;col=type&amp;col=milestone&amp;col=component&amp;order=priority" target="_top">here</a>.
All bug reports including closed ones can be viewed <a href="https://svn.boost.org/trac/boost/query?status=assigned&amp;status=closed&amp;status=new&amp;status=reopened&amp;component=math&amp;col=id&amp;col=summary&amp;col=status&amp;col=type&amp;col=milestone&amp;col=component&amp;order=priority" target="_top">here</a>
and <a href="https://github.com/boostorg/math/issues?utf8=%E2%9C%93&amp;q=is%3Aissue" target="_top">here</a>.
</p>
<h5>
<a name="math_toolkit.history2.h0"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_7_2_boost_1_69"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_7_2_boost_1_69">Math-2.7.2
<span class="phrase"><a name="math_toolkit.history2.math_2_8_0_boost_1_69"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_8_0_boost_1_69">Math-2.8.0
(Boost-1.69)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Add LambertW functions.
</li>
<li class="listitem">
Minor fixes to better support variable precision floating point types.
</li>
<li class="listitem">
Removed use of deprecated Boost.Endian in favour of Predef.
</li>
<li class="listitem">
Added the derivative of the Barycentric rational approximation.
</li>
<li class="listitem">
Updated continued fraction and series evaluation code to support complex
types.
</li>
<li class="listitem">
Prevent logic error leading to infinite loop in toms748_solve. See <a href="https://github.com/boostorg/math/issues/138" target="_top">#138</a>.
</li>
<li class="listitem">
Fix mean and standard_deviation for extreme_value_distribution. See <a href="https://github.com/boostorg/math/issues/139" target="_top">#139</a>.
</li>
<li class="listitem">
Improve heuristics used in newton_raphson_iterate. See <a href="https://github.com/boostorg/math/issues/145" target="_top">#145</a>.
</li>
<li class="listitem">
Fix result of <code class="computeroutput"><span class="identifier">erf</span><span class="special">(</span><span class="identifier">NaN</span><span class="special">)</span></code>.
See <a href="https://github.com/boostorg/math/issues/141" target="_top">#141</a>.
</li>
<li class="listitem">
Big push to reduce GCC warnings. See <a href="https://github.com/boostorg/math/issues/136" target="_top">#136</a>.
</li>
<li class="listitem">
Refactor polynomial addition. See <a href="https://github.com/boostorg/math/pull/132" target="_top">PR132</a>.
</li>
<li class="listitem">
Fix for vxWorks having a <code class="computeroutput"><span class="identifier">real</span></code>
function in the global namespace. See <a href="https://github.com/boostorg/math/pull/131" target="_top">PR131</a>.
</li>
<li class="listitem">
Improve <code class="computeroutput"><span class="identifier">sinc</span></code> approximations
and add better tests.
</li>
<li class="listitem">
Fix typo in Student's T hypothesis testing documentation, see <a href="https://github.com/boostorg/math/issues/143" target="_top">#143</a>.
</li></ul></div>
</li>
<li class="listitem">
Update integration routines to support complex valued integrands and contour
integrals.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h1"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_7_1_boost_1_68"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_7_1_boost_1_68">Math-2.7.1

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@@ -27,7 +27,7 @@
<a name="math_toolkit.navigation"></a><a class="link" href="navigation.html" title="Navigation">Navigation</a>
</h2></div></div></div>
<p>
<a class="indexterm" name="id909385"></a>
<a class="indexterm" name="id912995"></a>
</p>
<p>
Boost.Math documentation is provided in both HTML and PDF formats.

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@@ -86,8 +86,8 @@
<dt><span class="term">F f</span></dt>
<dd>
<p>
Type F must be a callable function object that accepts one parameter
and returns a <a class="link" href="internals/tuples.html" title="Tuples">std::pair,
Type F must be a callable function object (or C++ lambda) that accepts
one parameter and returns a <a class="link" href="internals/tuples.html" title="Tuples">std::pair,
std::tuple, boost::tuple or boost::fusion::tuple</a>:
</p>
<p>

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@@ -101,10 +101,10 @@
<dl class="variablelist">
<dt><span class="term">f</span></dt>
<dd><p>
A unary functor that is the function whose root is to be solved. f(x)
need not be uniformly increasing or decreasing on <span class="emphasis"><em>x</em></span>
and may have multiple roots. However, the bounds given must bracket
a single root.
A unary functor (or C++ lambda) that is the function whose root is
to be solved. f(x) need not be uniformly increasing or decreasing on
<span class="emphasis"><em>x</em></span> and may have multiple roots. However, the bounds
given must bracket a single root.
</p></dd>
<dt><span class="term">a</span></dt>
<dd><p>
@@ -127,10 +127,10 @@
</p></dd>
<dt><span class="term">tol</span></dt>
<dd><p>
A binary functor that determines the termination condition for the
search for the root. <span class="emphasis"><em>tol</em></span> is passed the current
brackets at each step, when it returns true, then the current brackets
are returned as the result. See also <a class="link" href="root_termination.html" title="Termination Condition Functors">predefined
A binary functor (or C++ lambda) that determines the termination condition
for the search for the root. <span class="emphasis"><em>tol</em></span> is passed the
current brackets at each step, when it returns true, then the current
brackets are returned as the result. See also <a class="link" href="root_termination.html" title="Termination Condition Functors">predefined
termination functors</a>.
</p></dd>
<dt><span class="term">max_iter</span></dt>

10
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@@ -65,8 +65,8 @@
<dl class="variablelist">
<dt><span class="term">f</span></dt>
<dd><p>
A unary functor which is the function <span class="emphasis"><em>f(x)</em></span> whose
root is to be found.
A unary functor (or C++ lambda) which is the function <span class="emphasis"><em>f(x)</em></span>
whose root is to be found.
</p></dd>
<dt><span class="term">min</span></dt>
<dd><p>
@@ -85,9 +85,9 @@
</p></dd>
<dt><span class="term">tol</span></dt>
<dd><p>
A binary functor that specifies the termination condition: the function
will return the current brackets enclosing the root when <span class="emphasis"><em>tol(min,
max)</em></span> becomes true. See also <a class="link" href="root_termination.html" title="Termination Condition Functors">predefined
A binary functor (or C++ lambda) that specifies the termination condition:
the function will return the current brackets enclosing the root when
<span class="emphasis"><em>tol(min, max)</em></span> becomes true. See also <a class="link" href="root_termination.html" title="Termination Condition Functors">predefined
termination functors</a>.
</p></dd>
<dt><span class="term">max_iter</span></dt>

13
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@@ -89,8 +89,9 @@
<dl class="variablelist">
<dt><span class="term">f</span></dt>
<dd><p>
A unary functor that is the function whose root is to be solved. <span class="emphasis"><em>f(x)</em></span>
must be uniformly increasing or decreasing on <span class="emphasis"><em>x</em></span>.
A unary functor (or C++ lambda) that is the function whose root is
to be solved. <span class="emphasis"><em>f(x)</em></span> must be uniformly increasing
or decreasing on <span class="emphasis"><em>x</em></span>.
</p></dd>
<dt><span class="term">guess</span></dt>
<dd><p>
@@ -116,10 +117,10 @@
</p></dd>
<dt><span class="term">tol</span></dt>
<dd><p>
A binary functor that determines the termination condition for the
search for the root. <span class="emphasis"><em>tol</em></span> is passed the current
brackets at each step, when it returns true then the current brackets
are returned as the pair result. See also <a class="link" href="root_termination.html" title="Termination Condition Functors">predefined
A binary functor (or C++ lambda) that determines the termination condition
for the search for the root. <span class="emphasis"><em>tol</em></span> is passed the
current brackets at each step, when it returns true then the current
brackets are returned as the pair result. See also <a class="link" href="root_termination.html" title="Termination Condition Functors">predefined
termination functors</a>.
</p></dd>
<dt><span class="term">max_iter</span></dt>

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@@ -1,14 +1,29 @@
[template history[]
Currently open bug reports can be viewed
[@https://svn.boost.org/trac/boost/query?status=assigned&status=new&status=reopened&component=math&col=id&col=summary&col=status&col=type&col=milestone&col=component&order=priority here].
[@https://github.com/boostorg/math/issues here].
All bug reports including closed ones can be viewed
[@https://svn.boost.org/trac/boost/query?status=assigned&status=closed&status=new&status=reopened&component=math&col=id&col=summary&col=status&col=type&col=milestone&col=component&order=priority here].
[@https://svn.boost.org/trac/boost/query?status=assigned&status=closed&status=new&status=reopened&component=math&col=id&col=summary&col=status&col=type&col=milestone&col=component&order=priority here]
and [@https://github.com/boostorg/math/issues?utf8=%E2%9C%93&q=is%3Aissue here].
[h4 Math-2.7.2 (Boost-1.69)]
[h4 Math-2.8.0 (Boost-1.69)]
* Add LambertW functions.
* Minor fixes to better support variable precision floating point types.
* Removed use of deprecated Boost.Endian in favour of Predef.
* Added the derivative of the Barycentric rational approximation.
* Updated continued fraction and series evaluation code to support complex types.
* Prevent logic error leading to infinite loop in toms748_solve. See [@https://github.com/boostorg/math/issues/138 #138].
* Fix mean and standard_deviation for extreme_value_distribution. See [@https://github.com/boostorg/math/issues/139 #139].
* Improve heuristics used in newton_raphson_iterate. See [@https://github.com/boostorg/math/issues/145 #145].
* Fix result of `erf(NaN)`. See [@https://github.com/boostorg/math/issues/141 #141].
* Big push to reduce GCC warnings. See [@https://github.com/boostorg/math/issues/136 #136].
* Refactor polynomial addition. See [@https://github.com/boostorg/math/pull/132 PR132].
* Fix for vxWorks having a `real` function in the global namespace. See [@https://github.com/boostorg/math/pull/131 PR131].
* Improve `sinc` approximations and add better tests.
* Fix typo in Student's T hypothesis testing documentation, see [@https://github.com/boostorg/math/issues/143 #143].
* Update integration routines to support complex valued integrands and contour integrals.
[h4 Math-2.7.1 (Boost-1.68)]