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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.history2"></a><a class="link" href="history2.html" title="History and What's New">History and What's New</a>
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<p>
Currently open bug reports can be viewed <a href="https://github.com/boostorg/math/issues" target="_top">here</a>
on GitHub.
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All old bug reports including closed ones can be viewed on Trac <a href="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" target="_top">here</a>.
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Recent issues on GitHub <a href="https://github.com/boostorg/math/issues?utf8=%E2%9C%93&q=is%3Aissue" target="_top">here</a>.
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<a name="math_toolkit.history2.h0"></a>
<span class="phrase"><a name="math_toolkit.history2.math_4_2_1_boost_1_86"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_4_2_1_boost_1_86">Math-4.2.1
(Boost-1.86)</a>
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<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
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Correct Bessel function results at infinity, see <a href="https://github.com/boostorg/math/issues/1143" target="_top">1143</a>.
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Improve Non Central T numerical stability, see <a href="https://github.com/scipy/scipy/issues/20693" target="_top">scipy20693</a>.
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Correct <code class="computeroutput"><span class="identifier">float_next</span></code>/<code class="computeroutput"><span class="identifier">float_prior</span></code> behaviour at infinity.
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Prevent spurious underflow in non-central beta, see <a href="https://github.com/scipy/scipy/issues/20693" target="_top">scipy20693</a>.
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<li class="listitem">
Add improvement to Heuman Lambda precision.
</li>
<li class="listitem">
Improve Skew Normal root finding, see <a href="https://github.com/boostorg/math/issues/1120" target="_top">1120</a>.
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Lots of minor fixes and improved code coverage.
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(Boost-1.85)</a>
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<li class="listitem">
Add support for <a class="link" href="jso.html" title="Algorithm jSO">Single objective real-parameter
optimization: Algorithm jSO</a>.
</li>
<li class="listitem">
Add support for <a class="link" href="differential_evolution.html" title="Differential Evolution">Differential
Evolution</a>.
</li>
<li class="listitem">
Lot's of code coverage and testing improvements through the special functions.
</li>
<li class="listitem">
Make configuration macros have a BOOST_MATH_ prefix so in the event that
Boost.Math is used standalone but with Boost.Config (and maybe other libraries)
present, then there aren't macro name confilicts, see <a href="https://github.com/boostorg/math/issues/1098" target="_top">1098</a>.
</li>
<li class="listitem">
Minor cstdfloat.hpp fixes for the latest compilers.
</li>
<li class="listitem">
Improve the accuracy of quartic_roots, see <a href="https://github.com/boostorg/math/issues/1055" target="_top">1055</a>.
</li>
<li class="listitem">
Allow non-literal types in Gauss-Kronrod, see <a href="https://github.com/boostorg/math/issues/1077" target="_top">1077</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h2"></a>
<span class="phrase"><a name="math_toolkit.history2.math_4_1_1_boost_1_84"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_4_1_1_boost_1_84">Math-4.1.1
(Boost-1.84)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Improve ccmath error detection.
</li>
<li class="listitem">
Remove use of deprecated std::numeric_limits<>::has_denorm, see
<a href="https://github.com/boostorg/math/issues/1028" target="_top">1028</a>.
</li>
<li class="listitem">
Correct non-convergence bug in non-central-t distribution, see <a href="https://github.com/boostorg/math/issues/1035" target="_top">1035</a>.
</li>
<li class="listitem">
Adjust Bessel function approximation to <sub>1</sub>F<sub>1</sub> to avoid taking tgamma at a
negative integer, see <a href="https://github.com/boostorg/math/issues/1034" target="_top">1034</a>.
</li>
<li class="listitem">
Avoid spurious overflow and divide by zero in ibeta, see <a href="https://github.com/boostorg/math/issues/1006" target="_top">1006</a>.
</li>
<li class="listitem">
Improve accuracy when using Sterling's approximation to tgamma, completes
work started in <a href="https://github.com/boostorg/math/pull/1007" target="_top">1007</a>.
</li>
<li class="listitem">
Fix inverse_discrete_quantile for large initial guesses, see <a href="https://github.com/boostorg/math/pull/1007" target="_top">1007</a>.
</li>
<li class="listitem">
Improve Newton root finding, see <a href="https://github.com/boostorg/math/pull/1000" target="_top">1000</a>.
</li>
<li class="listitem">
Fix median_absolute_deviation for non-zero centre, see <a href="https://github.com/boostorg/math/pull/997" target="_top">997</a>.
</li>
<li class="listitem">
Fix up cstdfloat.hpp for gcc-14.
</li>
<li class="listitem">
Update to work for the new types declared in <stdfloat>.
</li>
<li class="listitem">
Change hypergeometric_distribution to use 64 rather than 32 bit integers
to avoid unnecessary overflow and restrictions on use.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h3"></a>
<span class="phrase"><a name="math_toolkit.history2.math_4_1_0_boost_1_82"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_4_1_0_boost_1_82">Math-4.1.0
(Boost-1.82)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added Estrin's method for polynomial evaluation.
</li>
<li class="listitem">
Fix various issues in non-central distributions to allow for larger non-centralities
see <a href="https://github.com/boostorg/math/pull/939" target="_top">939</a>.
</li>
<li class="listitem">
Added CMake install target.
</li>
<li class="listitem">
Fix special_functions.hpp to disable anything which can't be used in an
exception-free environment.
</li>
<li class="listitem">
Get condition number calculation working in C++14.
</li>
<li class="listitem">
Fix <code class="computeroutput"><span class="keyword">constexpr</span></code> table driven
functions to avoid massive slowdown when the code is not actually <code class="computeroutput"><span class="keyword">constexpr</span></code>, see <a href="https://github.com/boostorg/math/issues/923" target="_top">923</a>.
</li>
<li class="listitem">
Improve tanh_sinh boundary handling, see <a href="https://github.com/boostorg/math/pull/894" target="_top">894</a>.
</li>
<li class="listitem">
Add Linux arm64, s390x and Apple M1 testing, fix up test cases to handle
128-bit long doubles.
</li>
<li class="listitem">
Improve <code class="computeroutput"><span class="keyword">constexpr</span></code> math functions
to better handle infinities and NaN's.
</li>
<li class="listitem">
Make the integrators const-correct.
</li>
<li class="listitem">
Fix tanh_sinh integrator in case the function underflows, see <a href="https://github.com/boostorg/math/issues/898" target="_top">898</a>.
</li>
<li class="listitem">
Don't use <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">cbrt</span></code> as some platforms still don't support
it.
</li>
<li class="listitem">
Stop non-central T from raising spurious FE_INVALID exceptions, see <a href="https://github.com/boostorg/math/pull/892" target="_top">892</a>.
</li>
<li class="listitem">
Fix binomial distribution edge case.
</li>
<li class="listitem">
Improve ibeta handling of very small arguments, see <a href="https://github.com/boostorg/math/pull/884" target="_top">884</a>.
</li>
<li class="listitem">
Improve ibeta handling of infinities and NaN's, see <a href="https://github.com/boostorg/math/issues/878" target="_top">874</a>.
</li>
<li class="listitem">
Improve error handling in powm1, see <a href="https://github.com/boostorg/math/issues/781" target="_top">781</a>.
</li>
<li class="listitem">
Improve root-finder bracketing to bracket faster when the exponent is super-large
or small.
</li>
<li class="listitem">
Fix root finding edge cases, see <a href="https://github.com/boostorg/math/issues/873" target="_top">873</a>.
</li>
<li class="listitem">
Lot's of miscellaneous warning fixes.
</li>
<li class="listitem">
Add assertions when using features which require C++17 for better error
messages when invoking the compiler in a lower std version.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h4"></a>
<span class="phrase"><a name="math_toolkit.history2.math_4_0_0_boost_1_81"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_4_0_0_boost_1_81">Math-4.0.0
(Boost-1.81)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<span class="bold"><strong>BREAKING CHANGE:</strong></span> Fix forward declaration
of <code class="computeroutput"><span class="identifier">user_rounding_error</span></code>,
see <a href="https://github.com/boostorg/math/issues/834" target="_top">834</a>.
</li>
<li class="listitem">
Fix cancellation error in binomial_distribution for extreme parameter ranges,
see <a href="https://github.com/scipy/scipy/issues/17146" target="_top">scipy#17146</a>
</li>
<li class="listitem">
Fix spurious divide-by-zero in non-central-f PDF so that the FP error flags
don't get set spuriously, see <a href="https://github.com/scipy/scipy/issues/17101" target="_top">scipy#17101</a>.
</li>
<li class="listitem">
Lots of gcc and clang warning fixes, lots of small cast fixes, unreachable
code, unused parameters, deprecated constructors etc.
</li>
<li class="listitem">
Add workaround for apparent clang Mac M1 bug, see <a href="https://github.com/boostorg/math/issues/826" target="_top">826</a>.
</li>
<li class="listitem">
Fix quartic root finder when depressed cubic only has single real root,
see <a href="https://github.com/boostorg/math/issues/825" target="_top">825</a>.
</li>
<li class="listitem">
Fix recursion routines to correctly handle <sub>1</sub>F<sub>1</sub>(-n, -n, n), see <a href="https://github.com/boostorg/math/issues/829" target="_top">829</a>.
</li>
<li class="listitem">
Modernize exception handling specifications, see <a href="https://github.com/boostorg/math/issues/822" target="_top">822</a>.
</li>
<li class="listitem">
Improve ccmath signbit and copysign to correctly handle the sign of infinities
and NaNs when <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">bitcast</span></code> is available.
</li>
<li class="listitem">
Improve performance of the Complete Elliptic Integrals.
</li>
<li class="listitem">
Add some missing #include's for the hypergeometric functions, see <a href="https://github.com/boostorg/math/issues/811" target="_top">811</a>.
</li>
<li class="listitem">
Avoid setting spurious overflow flag in Bessel IK calculation.
</li>
<li class="listitem">
Avoid spurious overflow in <code class="computeroutput"><span class="identifier">ibeta_power_term</span></code>
by avoiding taking the log of <code class="computeroutput"><span class="number">0</span></code>.
</li>
<li class="listitem">
Make sure <code class="computeroutput"><span class="identifier">ibeta_power_terms</span></code>
triggers an underflow error when required, see <a href="https://github.com/boostorg/math/issues/799" target="_top">799</a>.
</li>
<li class="listitem">
Use <code class="computeroutput"><span class="keyword">nullptr</span></code> rather than zeros.
</li>
<li class="listitem">
Fix right-end-point derivative error in cubic B spline.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h5"></a>
<span class="phrase"><a name="math_toolkit.history2.math_3_4_0_boost_1_80"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_3_4_0_boost_1_80">Math-3.4.0
(Boost-1.80)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<span class="bold"><strong>Deprecated C++11 support</strong></span>: from 2023 we
will require C++14 as a minimum standard. This will mean GCC-5 or MSVC-14.1
as a minimal requirement.
</li>
<li class="listitem">
Add <code class="computeroutput"><span class="keyword">constexpr</span></code> fma support,
see <a href="https://github.com/boostorg/math/pull/734" target="_top">734</a>.
</li>
<li class="listitem">
Add support for the Chatterjee Correlation Coefficient, see <a href="https://github.com/boostorg/math/pull/770" target="_top">770</a>.
</li>
<li class="listitem">
Added support for the logarithm of the PDF for all the distributions.
</li>
<li class="listitem">
Improve support for building with no exception or RTTI support.
</li>
<li class="listitem">
Some minor bug fixes for <sub>1</sub>F<sub>1</sub> corner cases, see <a href="https://github.com/boostorg/math/pull/778" target="_top">778</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h6"></a>
<span class="phrase"><a name="math_toolkit.history2.math_3_3_0_boost_1_79"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_3_3_0_boost_1_79">Math-3.3.0
(Boost-1.79)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added <a class="link" href="powers/logaddexp.html" title="logaddexp and logsumexp"><code class="computeroutput"><span class="identifier">logaddexp</span></code>
and <code class="computeroutput"><span class="identifier">logsumexp</span></code></a> to
compute log(e<sup>x<sub>1</sub></sup> + e<sup>x<sub>2</sub></sup> + ... + e<sup>x<sub>N</sub></sup>).
</li>
<li class="listitem">
Added <a class="link" href="internals/color_maps.html" title="Color Maps">color map visualization</a>
as one of our internal tools.
</li>
<li class="listitem">
Added <a class="link" href="quartic_roots.html" title="Roots of Quartic Polynomials">root finding of quartic
polynomials</a>.
</li>
<li class="listitem">
Extended the list of std lib math functions available <a class="link" href="ccmath.html" title="Constexpr CMath">for
use in <code class="computeroutput"><span class="keyword">constexpr</span></code> contexts</a>.
</li>
<li class="listitem">
Fixed pathological case in cubic root finding, see <a href="https://github.com/boostorg/math/pulls/759" target="_top">#759</a>.
</li>
<li class="listitem">
Added deduction guides for the distribution classes to prevent erroneous
deduction from constructors in C++17, see <a href="https://github.com/boostorg/math/issues/754" target="_top">#754</a>.
</li>
<li class="listitem">
Fixed building of bernoulli.hpp on platforms with no std::thread etc, see
<a href="https://github.com/boostorg/math/issues/748" target="_top">#748</a>.
</li>
<li class="listitem">
Begin comprehensively removing C-style casts in favour of static_cast's
(warning suppression).
</li>
<li class="listitem">
Improved the performance of the Double-Exponential integrators, see <a href="https://github.com/boostorg/math/issues/706" target="_top">#706</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h7"></a>
<span class="phrase"><a name="math_toolkit.history2.math_3_2_0_boost_1_78"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_3_2_0_boost_1_78">Math-3.2.0
(Boost-1.78)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Add support for <a class="link" href="cubic_roots.html" title="Roots of Cubic Polynomials">cubic roots</a>.
</li>
<li class="listitem">
Add support for <code class="computeroutput"><span class="keyword">constexpr</span></code>
versions of <a class="link" href="ccmath.html" title="Constexpr CMath">various standard library
math routines</a>.
</li>
<li class="listitem">
Add support for <a class="link" href="bezier_polynomial.html" title="Bezier Polynomials">Bezier polynomials</a>.
</li>
<li class="listitem">
Improve worst-case tanh-sinh integration performance.
</li>
<li class="listitem">
Disable inadvertant use of integral types in integration routines.
</li>
<li class="listitem">
Minor update for erf approximations when the result is with 2ulp of 1.
</li>
<li class="listitem">
Allow Bernoulli code to be used on platforms with no atomic integers.
</li>
<li class="listitem">
Improve the mode of the non-central Chi Squared distribution.
</li>
<li class="listitem">
Improve certain edge cases for <cstdfloat> complex-valued elementary
functions, see <a href="https://github.com/boostorg/math/issues/507" target="_top">#507</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h8"></a>
<span class="phrase"><a name="math_toolkit.history2.math_3_1_0_boost_1_77"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_3_1_0_boost_1_77">Math-3.1.0
(Boost-1.77)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
This library can now be used entirely standalone, without the rest of Boost:
either use a compiler which supports <code class="computeroutput"><span class="identifier">__has_include</span></code>
or define <code class="computeroutput"><span class="identifier">BOOST_MATH_STANDALONE</span></code>
to enable standalone mode.
</li>
<li class="listitem">
Add <a class="link" href="bilinear_uniform.html" title="Bilinear Uniform Interpolation">Bilinear Uniform Interpolation</a>.
</li>
<li class="listitem">
Add <a class="link" href="number_series/fibonacci_numbers.html" title="Fibonacci Numbers">Fibonacci
Numbers</a>.
</li>
<li class="listitem">
Fix Hypergeometric Distribution kertosis, see <a href="https://github.com/boostorg/math/issues/639" target="_top">#639</a>.
</li>
<li class="listitem">
Fix closed Catmull-Rom curves to have the same start/end point. See <a href="https://github.com/boostorg/math/issues/636" target="_top">#636</a>.
</li>
<li class="listitem">
Correct Bernoulli number caching in multi-threading multiprecision case.
</li>
<li class="listitem">
Re-enabled the ability to build in environments with no std lib threading
support. See <a href="https://github.com/boostorg/math/issues/621" target="_top">#621</a>.
</li>
<li class="listitem">
Correct Gini-coefficient parrellel calculation.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h9"></a>
<span class="phrase"><a name="math_toolkit.history2.math_3_0_0_boost_1_76"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_3_0_0_boost_1_76">Math-3.0.0
(Boost-1.76)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<span class="bold"><strong>Breaking Change:</strong></span> C++03 support is now
removed, a C++11 or later conformant compiler is now required to use this
library.
</li>
<li class="listitem">
Added <a class="link" href="z_test.html" title="z-tests">Z-test</a>.
</li>
<li class="listitem">
Added execution policy support to univariate and bivariate statistics:
enables parallel execution (requires C++17 and <code class="computeroutput"><span class="special"><</span><span class="identifier">execution</span><span class="special">></span></code>).
</li>
<li class="listitem">
Big update/improvement on CI testing.
</li>
<li class="listitem">
Bivariate statistics now have integer support.
</li>
<li class="listitem">
T-Test now has integer support.
</li>
<li class="listitem">
Linear regression now has integer support.
</li>
<li class="listitem">
Correct PDF of the beta distribution at the endpoints.
</li>
<li class="listitem">
Correct use of Stirling's approximation in certain multiprecision cases,
fixes <a href="https://github.com/boostorg/math/issues/396" target="_top">#396</a>.
</li>
<li class="listitem">
Eliminate -Wimplicit-int-float-conversion on clang.
</li>
<li class="listitem">
Fix some constexpr issues in quaternion/octonion.
</li>
<li class="listitem">
Minor performance fix to tanh_sinh integration.
</li>
<li class="listitem">
Update hypergeometric functions internal scaling to allow for 64-bit (long
long) exponents with multiprecision types.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h10"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_13_0_boost_1_75"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_13_0_boost_1_75">Math-2.13.0
(Boost-1.75)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added <a class="link" href="dist_ref/dists/kolmogorov_smirnov_dist.html" title="Kolmogorov-Smirnov Distribution">Kolmogorov-Smirnov
distribution</a>.
</li>
<li class="listitem">
Added <a class="link" href="jacobi_theta.html" title="Jacobi Theta Functions">Jacobi Theta functions</a>.
</li>
<li class="listitem">
Added <a class="link" href="internals/cohen_acceleration.html" title="Cohen Acceleration">methods
to accelerate convergence of an alternating series</a> by a method designed
by Cohen, Villegas, and Zagier.
</li>
<li class="listitem">
Added simple tool for <a class="link" href="ulps_plots.html" title="ULPs Plots">ULP plots</a>
of univariate functions.
</li>
<li class="listitem">
Added Reinch's modification to Clenshaw recurrence for <a class="link" href="sf_poly/chebyshev.html" title="Chebyshev Polynomials">Chebyshev
evaluation</a>.
</li>
<li class="listitem">
Improve mixed argument handling in <code class="computeroutput"><span class="identifier">float_next</span></code>.
</li>
<li class="listitem">
Correct behaviour of <code class="computeroutput"><span class="identifier">ellint_2</span></code>
when <code class="computeroutput"><span class="identifier">k</span> <span class="special">=</span>
<span class="number">1</span></code>. See <a href="https://github.com/boostorg/math/issues/321" target="_top">#321</a>.
</li>
<li class="listitem">
Correct <code class="computeroutput"><span class="identifier">cyl_bessel_i</span></code> in
the multiprecision case, especially for decimal types.
</li>
<li class="listitem">
Correct converting constructors for <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">__float128</span><span class="special">></span></code> in <code class="computeroutput"><span class="special"><</span><span class="identifier">cstdfloat</span><span class="special">></span></code>.
See <a href="https://github.com/boostorg/math/issues/350" target="_top">#350</a>.
</li>
<li class="listitem">
Update multiprecision <code class="computeroutput"><span class="identifier">erf</span></code>
to improve performance and precision.
</li>
<li class="listitem">
Minor improvements to <code class="computeroutput"><span class="identifier">tanh_sinh</span></code>
implementation.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h11"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_12_0_boost_1_73"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_12_0_boost_1_73">Math-2.12.0
(Boost-1.73)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
IMPORTANT: C++03 support is now deprecated and will be removed from March
2021.
</li>
<li class="listitem">
Added <a class="link" href="cubic_hermite.html" title="Cubic Hermite interpolation">Cubic Hermite Interpolation.</a>
</li>
<li class="listitem">
Added <a class="link" href="makima.html" title="Modified Akima interpolation">Modified Akima Interpolation.</a>
</li>
<li class="listitem">
Added <a class="link" href="pchip.html" title="PCHIP interpolation">PCHIP Interpolation.</a>
</li>
<li class="listitem">
Added <a class="link" href="quintic_hermite.html" title="Quintic Hermite interpolation">Quintic Hermite Interpolation.</a>
</li>
<li class="listitem">
Added entropy to numerous distributions.
</li>
<li class="listitem">
Allow trivial quadrature case where the two end points are equal, and in
addition allow bounds to be interchanged.
</li>
<li class="listitem">
Fix exp_sinh quadrature to work with complex types over a non-native range.
</li>
<li class="listitem">
Fix miscellaneous compiler warnings in factorial.hpp.
</li>
<li class="listitem">
Use std::chrono rather than boost::chrono in timed pFq calculations.
</li>
<li class="listitem">
Remove much of the old boost::mpl dependencies to improve constexpr support.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h12"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_11_0_boost_1_72"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_11_0_boost_1_72">Math-2.11.0
(Boost-1.72)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added Hypergeometric functions <a class="link" href="hypergeometric/hypergeometric_1f0.html" title="Hypergeometric 1F0">1F0</a>,
<a class="link" href="hypergeometric/hypergeometric_0f1.html" title="Hypergeometric 0F1">0F1</a>,
<a class="link" href="hypergeometric/hypergeometric_2f0.html" title="Hypergeometric 2F0">2F0</a>,
<a class="link" href="hypergeometric/hypergeometric_1f1.html" title="Hypergeometric 1F1">1F1</a>
and <a class="link" href="hypergeometric/hypergeometric_pfq.html" title="Hypergeometric pFq">pFq</a>.
</li>
<li class="listitem">
Added <a class="link" href="sf_poly/jacobi.html" title="Jacobi Polynomials">Jacobi polynomial</a>
(and derivatives) evaluation.
</li>
<li class="listitem">
Added <a class="link" href="sf_poly/gegenbauer.html" title="Gegenbauer Polynomials">Gegenbauer polynomial</a>
(and derivatives) evaluation.
</li>
<li class="listitem">
Added <a class="link" href="sf_poly/cardinal_b_splines.html" title="Cardinal B-splines">Cardinal
B-Splines</a> (and derivatives) as polynomial functions in their own
right.
</li>
<li class="listitem">
Added <a class="link" href="cardinal_trigonometric.html" title="Cardinal Trigonometric interpolation">Cardinal Trigonometric
Interpolation</a>.
</li>
<li class="listitem">
Added new statistics sub-section.
</li>
<li class="listitem">
Added <a class="link" href="t_test.html" title="t-tests">One Sample Student's T Test</a>.
</li>
<li class="listitem">
Added <a class="link" href="anderson_darling.html" title="The Anderson-Darling Test">Anderson Darling test
for normality</a>.
</li>
<li class="listitem">
Added <a class="link" href="ljung_box.html" title="The Ljung-Box Test">Ljung Box test for auto-correlation</a>.
</li>
<li class="listitem">
Added <a class="link" href="runs_test.html" title="Runs tests">Runs test for random sequences</a>.
</li>
<li class="listitem">
The headers <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tools</span><span class="special">/</span><span class="identifier">univariate_statistics</span><span class="special">.</span><span class="identifier">hpp</span></code> and <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tools</span><span class="special">/</span><span class="identifier">bivariate_statistics</span><span class="special">.</span><span class="identifier">hpp</span></code>,
have been deprecated in favor of <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">statistics</span><span class="special">/</span><span class="identifier">univariate_statistics</span><span class="special">.</span><span class="identifier">hpp</span></code>
and <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">statistics</span><span class="special">/</span><span class="identifier">bivariate_statistics</span><span class="special">.</span><span class="identifier">hpp</span></code>.
</li>
<li class="listitem">
Added <a class="link" href="dist_ref/dists/empirical_cdf.html" title="Empirical Cumulative Distribution Function">The Empirical
CDF distribution</a>.
</li>
<li class="listitem">
Reworked the Sterling approximation used by multiprecision gamma functions
to be applicable to all the function that use the Lanczos approximation
at regular precision. Also extended Lanczos approximations up to 100 decimal
digit precision.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h13"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_10_0_boost_1_71"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_10_0_boost_1_71">Math-2.10.0
(Boost-1.71)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Catmull-Rom interpolator now works in C++11.
</li>
<li class="listitem">
Cardinal quadratic B-spline interpolation.
</li>
<li class="listitem">
Domain of elliptic integrals extended.
</li>
<li class="listitem">
sin_pi and cos_pi performance improvements.
</li>
<li class="listitem">
Forward-mode automatic differentiation.
</li>
<li class="listitem">
Vector valued barycentric rational interpolation.
</li>
<li class="listitem">
Ooura's method for evaluation of Fourier integrals.
</li>
<li class="listitem">
Multiple compatibility issues with Multiprecision fixed.
</li>
<li class="listitem">
Lambert-W fixed on a rare architecture.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h14"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_9_0_boost_1_70"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_9_0_boost_1_70">Math-2.9.0
(Boost-1.70)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Add Lanczos smoothing derivatives
</li>
<li class="listitem">
Move <code class="computeroutput"><span class="identifier">numerical_differentiation</span><span class="special">.</span><span class="identifier">hpp</span></code>
from <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tools</span><span class="special">/</span></code>
to <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">differentiation</span><span class="special">/</span><span class="identifier">finite_difference</span><span class="special">.</span><span class="identifier">hpp</span></code>.
</li>
<li class="listitem">
Add mean, variance, skewness, kurtosis, median, Gini coefficient, and median
absolute deviation to <code class="computeroutput"><span class="identifier">tools</span><span class="special">/</span><span class="identifier">univariate_statistics</span><span class="special">.</span><span class="identifier">hpp</span></code>.
</li>
<li class="listitem">
Add correlation coefficients and covariance to <code class="computeroutput"><span class="identifier">tools</span><span class="special">/</span><span class="identifier">bivariate_statistics</span><span class="special">.</span><span class="identifier">hpp</span></code>
</li>
<li class="listitem">
Add absolute Gini coefficient, Hoyer sparsity, oracle SNR, and the <span class="emphasis"><em>M</em></span><sub>2</sub><span class="emphasis"><em>M</em></span><sub>4</sub> SNR
estimator to <code class="computeroutput"><span class="identifier">tools</span><span class="special">/</span><span class="identifier">signal_statistics</span><span class="special">.</span><span class="identifier">hpp</span></code>.
</li>
<li class="listitem">
Add total variation, l0, l1, l2, and sup norms, as well as corresponding
distance functions to <code class="computeroutput"><span class="identifier">tools</span><span class="special">/</span><span class="identifier">norms</span><span class="special">.</span><span class="identifier">hpp</span></code>.
</li>
<li class="listitem">
Add move constructors for polynomials, support complex coefficients, add
<code class="computeroutput"><span class="special">.</span><span class="identifier">prime</span><span class="special">()</span></code> and <code class="computeroutput"><span class="special">.</span><span class="identifier">integrate</span><span class="special">()</span></code>
methods.
</li>
<li class="listitem">
Add <code class="computeroutput"><span class="identifier">quadratic_roots</span></code> to
<code class="computeroutput"><span class="identifier">tools</span><span class="special">/</span><span class="identifier">roots</span><span class="special">.</span><span class="identifier">hpp</span></code>.
</li>
<li class="listitem">
Add support for complex-valued functions to Newton's method in <code class="computeroutput"><span class="identifier">roots</span><span class="special">.</span><span class="identifier">hpp</span></code>.
</li>
<li class="listitem">
Add Catmull-Rom interpolator.
</li>
<li class="listitem">
Fix bug in <code class="computeroutput"><span class="identifier">newton_raphson_iterate</span></code>
where we could terminate incorrectly under certain exceptional cases.
</li>
<li class="listitem">
Suppressed warnings from use of <code class="computeroutput"><span class="identifier">Q</span></code>
suffix on constants when compiling with <code class="computeroutput"><span class="identifier">g</span><span class="special">++</span> <span class="special">-</span><span class="identifier">Wall</span>
<span class="special">-</span><span class="identifier">pedantic</span></code>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h15"></a>
<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">
Add LambertW functions.
</li>
<li class="listitem">
Update integration routines to support complex valued integrands and contour
integrals.
</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">
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">
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>
<h5>
<a name="math_toolkit.history2.h16"></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
(Boost-1.68)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Continue to improve numerical integration routines, and in particular add
support for contour integrals.
</li>
<li class="listitem">
Improve accuracy of erfc function's rational approximations.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h17"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_7_0_boost_1_66"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_7_0_boost_1_66">Math-2.7.0
(Boost-1.66)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Add Gauss and Gauss-Kronrod quadrature routines.
</li>
<li class="listitem">
Add double-exponential (tanh-sinh, exp-sinh and sinh-sinh) quadrature routines.
</li>
<li class="listitem">
Add Chebyshev polynomial evaluation, roots, integration, differentiation,
and interpolation routines.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h18"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_6_0_boost_1_65"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_6_0_boost_1_65">Math-2.6.0
(Boost-1.65)</a>
</h5>
<p>
New Features:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Add <a class="link" href="cardinal_cubic_b.html" title="Cardinal Cubic B-spline interpolation">Cardinal cubic B-Spline
interpolation functions</a>, with thanks to Nick Thompson.
</li>
<li class="listitem">
Add <a class="link" href="barycentric.html" title="Barycentric Rational Interpolation">barycentric rational interpolation
functions</a>, with thanks to Nick Thompson.
</li>
<li class="listitem">
Add <a class="link" href="trapezoidal.html" title="Trapezoidal Quadrature">adaptive trapezoidal quadrature</a>,
with thanks to Nick Thompson.
</li>
<li class="listitem">
Add <a class="link" href="sf_poly/legendre.html" title="Legendre (and Associated) Polynomials">support for the zeros
and derivatives of Legendre polynomials</a>, with thanks to Nick Thompson.
</li>
</ul></div>
<p>
Patches:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Improve polynomial GCD algorithms, with thanks to Jeremy Murphy.
</li>
<li class="listitem">
Removed gcd/lcm routines from Boost.Math - these are now in Boost.Integer.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h19"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_5_2_boost_1_64"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_5_2_boost_1_64">Math-2.5.2
(Boost-1.64)</a>
</h5>
<p>
Patches:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Big push to ensure all functions in also in C99 are compatible with Annex
F.
</li>
<li class="listitem">
Improved accuracy of the Bessel functions I0, I1, K0 and K1, see <a href="https://svn.boost.org/trac/boost/ticket/12066" target="_top">12066</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h20"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_5_1_boost_1_63"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_5_1_boost_1_63">Math-2.5.1
(Boost-1.63)</a>
</h5>
<p>
Patches:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Fixed evaluation of zero polynomial in polynomial.hpp, see <a href="https://svn.boost.org/trac/boost/ticket/12532" target="_top">12532</a>.
</li>
<li class="listitem">
Fixed missing header include in boost/math/tools/tuple.hpp, see <a href="https://svn.boost.org/trac/boost/ticket/12537" target="_top">12537</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h21"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_5_0_boost_1_62"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_5_0_boost_1_62">Math-2.5.0
(Boost-1.62)</a>
</h5>
<p>
New Features:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
Enabled all the special function code to work correctly with types whose
precision can change at runtime: for example type <code class="computeroutput"><span class="identifier">mpfr_float</span></code>
from Boost.Multiprecision.
</li></ul></div>
<p>
Patches:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Fix tgamma_delta_ratio for cases where the delta is small compared to the
base.
</li>
<li class="listitem">
Fix misc GCC-4.4 test failures.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h22"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_4_0_boost_1_61"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_4_0_boost_1_61">Math-2.4.0
(Boost-1.61)</a>
</h5>
<p>
New Features:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
Polynomial arithmetic added to tools.
</li></ul></div>
<h5>
<a name="math_toolkit.history2.h23"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_3_0_boost_1_60"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_3_0_boost_1_60">Math-2.3.0
(Boost-1.60)</a>
</h5>
<p>
New Features:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Promote the root finding and function minimization code to first class
citizens - these are now officially supported as part of the library.
</li>
<li class="listitem">
Allow the library to be used and tested with compiler exception handling
support turned off. To better facilitate this the default error handling
policies have been changed to <span class="emphasis"><em>errno_on_error</em></span> but only
when the compiler has no exception handling support.
</li>
</ul></div>
<p>
Patches:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Fix behaviour of the non-central chi-squared distribution when the non-centrality
parameter is zero to match the chi-squared, see <a href="https://svn.boost.org/trac/boost/ticket/11557" target="_top">11557</a>.
</li>
<li class="listitem">
Fix comments in code for the hypergeometric to match what it actually does,
also fixes the parameter access functions to return the correct values.
See <a href="https://svn.boost.org/trac/boost/ticket/11556" target="_top">11556</a>.
</li>
<li class="listitem">
Stopped using hidden visibility library build with the Oracle compiler
as it leads to unresolved externals from the C++ standard library. See
<a href="https://svn.boost.org/trac/boost/ticket/11547" target="_top">11547</a>.
</li>
<li class="listitem">
Fix unintended use of __declspec when building with Oracle C++. See <a href="https://svn.boost.org/trac/boost/ticket/11546" target="_top">11546</a>.
</li>
<li class="listitem">
Fix corner case bug in root bracketing code, see <a href="https://svn.boost.org/trac/boost/ticket/11532" target="_top">11532</a>.
</li>
<li class="listitem">
Add some missing typecasts in arguments to std::max in Bernoulli code.
See <a href="https://svn.boost.org/trac/boost/ticket/11453" target="_top">11453</a>.
</li>
<li class="listitem">
Fix mistaken assumptions about the possible values for FLT_EVAL_METHOD.
See <a href="https://svn.boost.org/trac/boost/ticket/11429" target="_top">11429</a>.
</li>
<li class="listitem">
Completely revamped performance testing and error-rate measuring code so
we can more easily document how well (or not!) we're doing. This information
will hopefully get more frequently updated in future as it's more or less
automatically generated - see the <span class="emphasis"><em>reporting</em></span> sub-directory
for more information.
</li>
<li class="listitem">
Fix some corner cases in the beta, incomplete beta, and incomplete beta
derivative. With thanks to Rocco Romeo.
</li>
<li class="listitem">
Reorganized the Bessel functions internally to improve the performance
of Jn and Yn.
</li>
<li class="listitem">
Fixed skewness formula for triangular distribution, see <a href="https://svn.boost.org/trac/boost/ticket/11768" target="_top">#11768</a>.
</li>
<li class="listitem">
Fixed some examples so they compile on Unix platforms which have an ::exception
struct declared, see <a href="https://svn.boost.org/trac/boost/ticket/11827" target="_top">#11827</a>.
</li>
<li class="listitem">
Correct mistake in triangular distribution skewness formula <a href="https://svn.boost.org/trac/boost/ticket/11768" target="_top">11768</a>,
reported by Juan Leni.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h24"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_2_1"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_2_1">Math-2.2.1</a>
</h5>
<p>
Patch release for Boost-1.58:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Minor <a href="https://github.com/boostorg/math/pull/13#issuecomment-98905579" target="_top">patch
for Haiku support.</a>
</li>
<li class="listitem">
Fix the decimal digit count for 128-bit floating point types.
</li>
<li class="listitem">
Fix a few documentation typos.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h25"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_2_0_boost_1_58_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_2_0_boost_1_58_0">Math-2.2.0
(boost-1.58.0)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added two new special functions - <a class="link" href="sf_gamma/trigamma.html" title="Trigamma">trigamma</a>
and <a class="link" href="sf_gamma/polygamma.html" title="Polygamma">polygamma</a>.
</li>
<li class="listitem">
Fixed namespace scope constants so they are constexpr on conforming compilers,
see https://svn.boost.org/trac/boost/ticket/10901.
</li>
<li class="listitem">
Fixed various cases of spurious under/overflow in the incomplete beta and
gamma functions, plus the elliptic integrals, with thanks to Rocco Romeo.
</li>
<li class="listitem">
Fix 3-arg <a class="link" href="sf_poly/legendre.html" title="Legendre (and Associated) Polynomials">legendre_p</a>
and <a class="link" href="sf_poly/legendre.html" title="Legendre (and Associated) Polynomials">legendre_q</a> functions
to not call the policy based overload if the final argument is not actually
a policy.
</li>
<li class="listitem">
Cleaned up some dead code in the incomplete beta function, see <a href="https://svn.boost.org/trac/boost/ticket/10985" target="_top">#10985</a>.
</li>
<li class="listitem">
Fixed extreme-value pdf for large valued inputs, see <a href="https://svn.boost.org/trac/boost/ticket/10938" target="_top">#10938</a>.
</li>
<li class="listitem">
Large update to the Elliptic integral code to use Carlson's latest algorithms
- these should be more stable, more accurate and slightly faster than before.
Also added support for Carlson's RG integral.
</li>
<li class="listitem">
Added <a class="link" href="ellint/ellint_d.html" title="Elliptic Integral D - Legendre Form">ellint_d</a>, <a class="link" href="ellint/jacobi_zeta.html" title="Jacobi Zeta Function">jacobi_zeta</a> and <a class="link" href="ellint/heuman_lambda.html" title="Heuman Lambda Function">heuman_lambda</a> elliptic
integrals.
</li>
<li class="listitem">
Switched documentation to use SVG rather than PNG graphs and equations
- browsers seem to have finally caught up!
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h26"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_1_0_boost_1_57_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_1_0_boost_1_57_0">Math-2.1.0
(boost-1.57.0)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added <a class="link" href="dist_ref/dists/hyperexponential_dist.html" title="Hyperexponential Distribution">Hyperexponential
Distribution</a>.
</li>
<li class="listitem">
Fix some spurious overflows in the incomplete gamma functions (with thanks
to Rocco Romeo).
</li>
<li class="listitem">
Fix bug in derivative of incomplete beta when a = b = 0.5 - this also effects
several non-central distributions, see <a href="https://svn.boost.org/trac/boost/ticket/10480" target="_top">10480</a>.
</li>
<li class="listitem">
Fixed some corner cases in <a class="link" href="rounding/round.html" title="Rounding Functions">round</a>.
</li>
<li class="listitem">
Don't support 80-bit floats in cstdfloat.hpp if standard library support
is broken.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h27"></a>
<span class="phrase"><a name="math_toolkit.history2.math_2_0_0_boost_1_56_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_2_0_0_boost_1_56_0">Math-2.0.0
(Boost-1.56.0)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<span class="bold"><strong>Breaking change</strong></span>: moved a number of non-core
headers that are predominantly used for internal maintenance into <code class="computeroutput"><span class="identifier">libs</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">include_private</span></code>. The headers effected
are <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tools</span><span class="special">/</span><span class="identifier">test_data</span><span class="special">.</span><span class="identifier">hpp</span></code>, <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tools</span><span class="special">/</span><span class="identifier">remez</span><span class="special">.</span><span class="identifier">hpp</span></code>,
<code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">/</span><span class="identifier">generate</span><span class="special">.</span><span class="identifier">hpp</span></code>, <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tools</span><span class="special">/</span><span class="identifier">solve</span><span class="special">.</span><span class="identifier">hpp</span></code>,
<code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tools</span><span class="special">/</span><span class="identifier">test</span><span class="special">.</span><span class="identifier">hpp</span></code>. You can continue to use these headers
by adding <code class="computeroutput"><span class="identifier">libs</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">include_private</span></code> to your compiler's include
path.
</li>
<li class="listitem">
<span class="bold"><strong>Breaking change</strong></span>: A number of distributions
and special functions were returning the maximum finite value rather than
raising an <a class="link" href="error_handling.html#math_toolkit.error_handling.overflow_error">overflow_error</a>,
this has now been fixed, which means these functions now behave as documented.
However, since the default behavior on raising an <a class="link" href="error_handling.html#math_toolkit.error_handling.overflow_error">overflow_error</a>
is to throw a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">overflow_error</span></code> exception, applications
which have come to reply rely on these functions not throwing may experience
exceptions where they did not before. The special functions involved are
<a class="link" href="sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inva</a>,
<a class="link" href="sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inva</a>,
<a class="link" href="sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inva</a>,
<a class="link" href="sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inva</a>,
<a class="link" href="sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_invb</a>,
<a class="link" href="sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_invb</a>,
<a class="link" href="sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a>, <a class="link" href="sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a>. The distributions
involved are <a class="link" href="dist_ref/dists/pareto.html" title="Pareto Distribution">Pareto
Distribution</a>, <a class="link" href="dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta
Distribution</a>, <a class="link" href="dist_ref/dists/geometric_dist.html" title="Geometric Distribution">Geometric
Distribution</a>, <a class="link" href="dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
Binomial Distribution</a>, <a class="link" href="dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
Distribution</a>, <a class="link" href="dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi
Squared Distribution</a>, <a class="link" href="dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma
Distribution</a>, <a class="link" href="dist_ref/dists/inverse_chi_squared_dist.html" title="Inverse Chi Squared Distribution">Inverse
chi squared Distribution</a>, <a class="link" href="dist_ref/dists/inverse_gamma_dist.html" title="Inverse Gamma Distribution">Inverse
Gamma Distribution</a>. See <a href="https://svn.boost.org/trac/boost/ticket/10111" target="_top">#10111</a>.
</li>
<li class="listitem">
Fix <a class="link" href="rounding/round.html" title="Rounding Functions">round</a> and <a class="link" href="rounding/trunc.html" title="Truncation Functions">trunc</a> functions so they can
be used with integer arguments, see <a href="https://svn.boost.org/trac/boost/ticket/10066" target="_top">#10066</a>.
</li>
<li class="listitem">
Fix Halley iteration to handle zero derivative (with non-zero second derivative),
see <a href="https://svn.boost.org/trac/boost/ticket/10046" target="_top">#10046</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h28"></a>
<span class="phrase"><a name="math_toolkit.history2.math_1_9_1"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_1_9_1">Math-1.9.1</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Fix Geometric distribution use of Policies, see <a href="https://svn.boost.org/trac/boost/ticket/9833" target="_top">#9833</a>.
</li>
<li class="listitem">
Fix corner cases in the negative binomial distribution, see <a href="https://svn.boost.org/trac/boost/ticket/9834" target="_top">#9834</a>.
</li>
<li class="listitem">
Fix compilation failures on Mac OS.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h29"></a>
<span class="phrase"><a name="math_toolkit.history2.math_1_9_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.math_1_9_0">Math-1.9.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Changed version number to new Boost.Math specific version now that we're
in the modular Boost world.
</li>
<li class="listitem">
Added <a class="link" href="number_series/bernoulli_numbers.html" title="Bernoulli Numbers">Bernoulli
numbers</a>, changed arbitrary precision <a class="link" href="sf_gamma/tgamma.html" title="Gamma">tgamma</a>/<a class="link" href="sf_gamma/lgamma.html" title="Log Gamma">lgamma</a> to use Sterling's
approximation (from Nikhar Agrawal).
</li>
<li class="listitem">
Added first derivatives of the Bessel functions: <a class="link" href="bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions">cyl_bessel_j_prime</a>,
<a class="link" href="bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions">cyl_neumann_prime</a>,
<a class="link" href="bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions">cyl_bessel_i_prime</a>,
<a class="link" href="bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions">cyl_bessel_k_prime</a>,
<a class="link" href="bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions">sph_bessel_prime</a>
and <a class="link" href="bessel/bessel_derivatives.html" title="Derivatives of the Bessel Functions">sph_neumann_prime</a>
(from Anton Bikineev).
</li>
<li class="listitem">
Fixed buggy Student's t example code, along with docs for testing sample
means for equivalence.
</li>
<li class="listitem">
Documented <code class="computeroutput"><span class="identifier">max_iter</span></code> parameter
in root finding code better, see <a href="https://svn.boost.org/trac/boost/ticket/9225" target="_top">#9225</a>.
</li>
<li class="listitem">
Add option to explicitly enable/disable use of __float128 in constants
code, see <a href="https://svn.boost.org/trac/boost/ticket/9240" target="_top">#9240</a>.
</li>
<li class="listitem">
Cleaned up handling of negative values in Bessel I0 and I1 code (removed
dead code), see <a href="https://svn.boost.org/trac/boost/ticket/9512" target="_top">#9512</a>.
</li>
<li class="listitem">
Fixed handling of very small values passed to <a class="link" href="sf_gamma/tgamma.html" title="Gamma">tgamma</a>
and <a class="link" href="sf_gamma/lgamma.html" title="Log Gamma">lgamma</a> so they
don't generate spurious overflows (thanks to Rocco Romeo).
</li>
<li class="listitem">
<a href="https://svn.boost.org/trac/boost/ticket/9672" target="_top">#9672 PDF and
CDF of a Laplace distribution throwing domain_error</a> Random variate
can now be infinite.
</li>
<li class="listitem">
Fixed several corner cases in <a class="link" href="factorials/sf_rising_factorial.html" title="Rising Factorial">rising_factorial</a>,
<a class="link" href="factorials/sf_falling_factorial.html" title="Falling Factorial">falling_factorial</a>
and <a class="link" href="sf_gamma/gamma_ratios.html" title="Ratios of Gamma Functions">tgamma_delta_ratio</a>
with thanks to Rocco Romeo.
</li>
<li class="listitem">
Fixed several corner cases in <a class="link" href="factorials/sf_rising_factorial.html" title="Rising Factorial">rising_factorial</a>,
<a class="link" href="factorials/sf_falling_factorial.html" title="Falling Factorial">falling_factorial</a>
and <a class="link" href="sf_gamma/gamma_ratios.html" title="Ratios of Gamma Functions">tgamma_delta_ratio</a>
(thanks to Rocco Romeo).
</li>
<li class="listitem">
Removed constant <code class="computeroutput"><span class="identifier">pow23_four_minus_pi</span>
</code> whose value did not match the name (and was unused by Boost.Math),
see <a href="https://svn.boost.org/trac/boost/ticket/9712" target="_top">#9712</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h30"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_55"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_55">Boost-1.55</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Suppress numerous warnings (mostly from GCC-4.8 and MSVC) <a href="https://svn.boost.org/trac/boost/ticket/8384" target="_top">#8384</a>,
<a href="https://svn.boost.org/trac/boost/ticket/8855" target="_top">#8855</a>,
<a href="https://svn.boost.org/trac/boost/ticket/9107" target="_top">#9107</a>,
<a href="https://svn.boost.org/trac/boost/ticket/9109" target="_top">#9109</a>..
</li>
<li class="listitem">
Fixed PGI compilation issue <a href="https://svn.boost.org/trac/boost/ticket/8333" target="_top">#8333</a>.
</li>
<li class="listitem">
Fixed PGI constant value initialization issue that caused erf to generate
incorrect results <a href="https://svn.boost.org/trac/boost/ticket/8621" target="_top">#8621</a>.
</li>
<li class="listitem">
Prevent macro expansion of some C99 macros that are also C++ functions
<a href="https://svn.boost.org/trac/boost/ticket/8732" target="_top">#8732</a>
and <a href="https://svn.boost.org/trac/boost/ticket/8733" target="_top">#8733</a>..
</li>
<li class="listitem">
Fixed Student's T distribution to behave correctly with huge degrees of
freedom (larger than the largest representable integer) <a href="https://svn.boost.org/trac/boost/ticket/8837" target="_top">#8837</a>.
</li>
<li class="listitem">
Make some core functions usable with <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code> even when the platform has
no standard library <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code> support <a href="https://svn.boost.org/trac/boost/ticket/8940" target="_top">#8940</a>.
</li>
<li class="listitem">
Fix error handling of distributions to catch invalid scale and location
parameters when the random variable is infinite <a href="https://svn.boost.org/trac/boost/ticket/9042" target="_top">#9042</a>
and <a href="https://svn.boost.org/trac/boost/ticket/9126" target="_top">#9126</a>.
</li>
<li class="listitem">
Add workaround for broken <tuple> in Intel C++ 14 <a href="https://svn.boost.org/trac/boost/ticket/9087" target="_top">#9087</a>.
</li>
<li class="listitem">
Improve consistency of argument reduction in the elliptic integrals <a href="https://svn.boost.org/trac/boost/ticket/9104" target="_top">#9104</a>.
</li>
<li class="listitem">
Fix bug in inverse incomplete beta that results in cancellation errors
when the beta function is really an arcsine or Student's T distribution.
</li>
<li class="listitem">
Fix issue in Bessel I and K function continued fractions that causes spurious
over/underflow.
</li>
<li class="listitem">
<p class="simpara">
Add improvement to non-central chi squared distribution quantile due to
Thomas Luu, <a href="http://discovery.ucl.ac.uk/1482128/" target="_top">Fast and accurate
parallel computation of quantile functions for random number generation,
Doctoral Thesis 2016</a>. <a href="http://discovery.ucl.ac.uk/1463470/" target="_top">Efficient
and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu</a>
</p>
<h5>
<a name="math_toolkit.history2.h31"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_54"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_54">Boost-1.54</a>
</h5>
</li>
<li class="listitem">
Major reorganization to incorporate other Boost.Math like Integer Utilities
Integer Utilities (Greatest Common Divisor and Least Common Multiple),
quaternions and octonions. Making new chapter headings.
</li>
<li class="listitem">
Added many references to Boost.Multiprecision and <code class="computeroutput"><span class="identifier">cpp_dec_float_50</span></code>
as an example of a User-defined Type (UDT).
</li>
<li class="listitem">
Added Clang to list of supported compilers.
</li>
<li class="listitem">
Fixed constants to use a thread-safe cache of computed values when used
at arbitrary precision.
</li>
<li class="listitem">
Added finding zeros of Bessel functions <code class="computeroutput"><span class="identifier">cyl_bessel_j_zero</span></code>,
<code class="computeroutput"><span class="identifier">cyl_neumann_zero</span></code>, <code class="computeroutput"><span class="identifier">airy_ai_zero</span></code> and <code class="computeroutput"><span class="identifier">airy_bi_zero</span></code>(by
Christopher Kormanyos).
</li>
<li class="listitem">
More accuracy improvements to the Bessel J and Y functions from Rocco Romeo.
</li>
<li class="listitem">
Fixed nasty cyclic dependency bug that caused some headers to not compile
<a href="https://svn.boost.org/trac/boost/ticket/7999" target="_top">#7999</a>.
</li>
<li class="listitem">
Fixed bug in <a class="link" href="sf_gamma/tgamma.html" title="Gamma">tgamma</a>
that caused spurious overflow for arguments between 142.5 and 143.
</li>
<li class="listitem">
Fixed bug in raise_rounding_error that caused it to return an incorrect
result when throwing an exception is turned off <a href="https://svn.boost.org/trac/boost/ticket/7905" target="_top">#7905</a>.
</li>
<li class="listitem">
Added minimal __float128 support.
</li>
<li class="listitem">
Fixed bug in edge-cases of poisson quantile <a href="https://svn.boost.org/trac/boost/ticket/8308" target="_top">#8308</a>.
</li>
<li class="listitem">
Adjusted heuristics used in Halley iteration to cope with inverting the
incomplete beta in tricky regions where the derivative is flatlining. Example
is computing the quantile of the Fisher F distribution for probabilities
smaller than machine epsilon. See ticket <a href="https://svn.boost.org/trac/boost/ticket/8314" target="_top">#8314</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h32"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_53"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_53">Boost-1.53</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Fixed issues <a href="https://svn.boost.org/trac/boost/ticket/7325" target="_top">#7325</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7415" target="_top">#7415</a>
and <a href="https://svn.boost.org/trac/boost/ticket/7416" target="_top">#7416</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7183" target="_top">#7183</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7649" target="_top">#7649</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7694" target="_top">#7694</a>,
<a href="https://svn.boost.org/trac/boost/ticket/4445" target="_top">#4445</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7492" target="_top">#7492</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7891" target="_top">#7891</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7429" target="_top">#7429</a>.
</li>
<li class="listitem">
Fixed mistake in calculating pooled standard deviation in two-sample students
t example <a href="https://svn.boost.org/trac/boost/ticket/7402" target="_top">#7402</a>.
</li>
<li class="listitem">
Improve complex acos/asin/atan, see <a href="https://svn.boost.org/trac/boost/ticket/7290" target="_top">#7290</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7291" target="_top">#7291</a>.
</li>
<li class="listitem">
Improve accuracy in some corner cases of <a class="link" href="bessel/bessel_first.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a>
and <a class="link" href="sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a>/<a class="link" href="sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a>
thanks to suggestions from Rocco Romeo.
</li>
<li class="listitem">
Improve accuracy of Bessel J and Y for integer orders thanks to suggestions
from Rocco Romeo.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h33"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_52"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_52">Boost-1.52</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Corrected moments for small degrees of freedom <a href="https://svn.boost.org/trac/boost/ticket/7177" target="_top">#7177</a>
(reported by Thomas Mang).
</li>
<li class="listitem">
Added <a class="link" href="airy.html" title="Airy Functions">Airy functions</a> and <a class="link" href="jacobi.html" title="Jacobi Elliptic Functions">Jacobi Elliptic functions</a>.
</li>
<li class="listitem">
Corrected failure to detect bad parameters in many distributions <a href="https://svn.boost.org/trac/boost/ticket/6934" target="_top">#6934</a> (reported
by Florian Schoppmann) by adding a function check_out_of_range to test
many possible bad parameters. This test revealed several distributions
where the checks for bad parameters were ineffective, and these have been
rectified.
</li>
<li class="listitem">
Fixed issue in Hankel functions that causes incorrect values to be returned
for <span class="emphasis"><em>x < 0</em></span> and ν odd, see <a href="https://svn.boost.org/trac/boost/ticket/7135" target="_top">#7135</a>.
</li>
<li class="listitem">
Fixed issues <a href="https://svn.boost.org/trac/boost/ticket/6517" target="_top">#6517</a>,
<a href="https://svn.boost.org/trac/boost/ticket/6362" target="_top">#6362</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7053" target="_top">#7053</a>,
<a href="https://svn.boost.org/trac/boost/ticket/2693" target="_top">#2693</a>,
<a href="https://svn.boost.org/trac/boost/ticket/6937" target="_top">#6937</a>,
<a href="https://svn.boost.org/trac/boost/ticket/7099" target="_top">#7099</a>.
</li>
<li class="listitem">
Permitted infinite degrees of freedom <a href="https://svn.boost.org/trac/boost/ticket/7259" target="_top">#7259</a>
implemented using the normal distribution (requested by Thomas Mang).
</li>
<li class="listitem">
Much enhanced accuracy for large degrees of freedom ν and/or large non-centrality
δ
by switching to use the Students t distribution (or Normal distribution
for infinite degrees of freedom) centered at delta, when δ / (4 * ν) <
epsilon for the floating-point type in use. <a href="https://svn.boost.org/trac/boost/ticket/7259" target="_top">#7259</a>.
It was found that the incomplete beta was suffering from serious cancellation
errors when degrees of freedom was very large. (That has now been fixed
in our code, but any code based on Didonato and Morris's original papers
(probably every implementation out there actually) will have the same issue).
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h34"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_51"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_51">Boost-1.51</a>
</h5>
<p>
See Boost-1.52 - some items were added but not listed in time for the release.
</p>
<h5>
<a name="math_toolkit.history2.h35"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_50"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_50">Boost-1.50</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Promoted math constants to be 1st class citizens, including convenient
access to the most widely used built-in float, double, long double via
three namespaces.
</li>
<li class="listitem">
Added the Owen's T function and Skew Normal distribution written by Benjamin
Sobotta: see <a class="link" href="owens_t.html" title="Owen's T function">Owens T</a> and skew_normal_distrib.
</li>
<li class="listitem">
Added Hankel functions <a class="link" href="hankel/cyl_hankel.html" title="Cyclic Hankel Functions">cyl_hankel_1</a>,
<a class="link" href="hankel/cyl_hankel.html" title="Cyclic Hankel Functions">cyl_hankel_2</a>, <a class="link" href="hankel/sph_hankel.html" title="Spherical Hankel Functions">sph_hankel_1</a> and <a class="link" href="hankel/sph_hankel.html" title="Spherical Hankel Functions">sph_hankel_2</a>.
</li>
<li class="listitem">
Corrected issue <a href="https://svn.boost.org/trac/boost/ticket/6627" target="_top">#6627
nonfinite_num_put formatting of 0.0 is incorrect</a> based on a patch
submitted by K R Walker.
</li>
<li class="listitem">
Changed constant initialization mechanism so that it is thread safe even
for user-defined types, also so that user defined types get the full precision
of the constant, even when <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code> does not. So for example
128-bit rational approximations will work with UDT's and do the right thing,
even though <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code>
may be only 64 or 80 bits.
</li>
<li class="listitem">
Fixed issue in <code class="computeroutput"><span class="identifier">bessel_jy</span></code>
which causes Y<sub>8.5</sub>(4π) to yield a NaN.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h36"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_49"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_49">Boost-1.49</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Deprecated wrongly named <code class="computeroutput"><span class="identifier">twothirds</span></code>
math constant in favour of <code class="computeroutput"><span class="identifier">two_thirds</span></code>
(with underscore separator). (issue <a href="https://svn.boost.org/trac/boost/ticket/6199" target="_top">#6199</a>).
</li>
<li class="listitem">
Refactored test data and some special function code to improve support
for arbitrary precision and/or expression-template-enabled types.
</li>
<li class="listitem">
Added new faster zeta function evaluation method.
</li>
</ul></div>
<p>
Fixed issues:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Corrected CDF complement for Laplace distribution (issue <a href="https://svn.boost.org/trac/boost/ticket/6151" target="_top">#6151</a>).
</li>
<li class="listitem">
Corrected branch cuts on the complex inverse trig functions, to handle
signed zeros (issue <a href="https://svn.boost.org/trac/boost/ticket/6171" target="_top">#6171</a>).
</li>
<li class="listitem">
Fixed bug in <code class="computeroutput"><span class="identifier">bessel_yn</span></code>
which caused incorrect overflow errors to be raised for negative <span class="emphasis"><em>n</em></span>
(issue <a href="https://svn.boost.org/trac/boost/ticket/6367" target="_top">#6367</a>).
</li>
<li class="listitem">
Also fixed minor/cosmetic/configuration issues <a href="https://svn.boost.org/trac/boost/ticket/6120" target="_top">#6120</a>,
<a href="https://svn.boost.org/trac/boost/ticket/6191" target="_top">#6191</a>,
<a href="https://svn.boost.org/trac/boost/ticket/5982" target="_top">#5982</a>,
<a href="https://svn.boost.org/trac/boost/ticket/6130" target="_top">#6130</a>,
<a href="https://svn.boost.org/trac/boost/ticket/6234" target="_top">#6234</a>,
<a href="https://svn.boost.org/trac/boost/ticket/6307" target="_top">#6307</a>,
<a href="https://svn.boost.org/trac/boost/ticket/6192" target="_top">#6192</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h37"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_48"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_48">Boost-1.48</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added new series evaluation methods to the cyclic Bessel I, J, K and Y
functions. Also taken great care to avoid spurious over and underflow of
these functions. Fixes issue <a href="https://svn.boost.org/trac/boost/ticket/5560" target="_top">#5560</a>
</li>
<li class="listitem">
Added an example of using Inverse Chi-Squared distribution for Bayesian
statistics, provided by Thomas Mang.
</li>
<li class="listitem">
Added tests to use improved version of lexical_cast which handles C99 nonfinites
without using globale facets.
</li>
<li class="listitem">
Corrected wrong out-of-bound uniform distribution CDF complement values
<a href="https://svn.boost.org/trac/boost/ticket/5733" target="_top">#5733</a>.
</li>
<li class="listitem">
Enabled long double support on OpenBSD (issue <a href="https://svn.boost.org/trac/boost/ticket/6014" target="_top">#6014</a>).
</li>
<li class="listitem">
Changed nextafter and related functions to behave in the same way as other
implementations - so that nextafter(+INF, 0) is a finite value (issue
<a href="https://svn.boost.org/trac/boost/ticket/5823" target="_top">#5832</a>).
</li>
<li class="listitem">
Changed tuple include configuration to fix issue when using in conjunction
with Boost.Tr1 (issue <a href="https://svn.boost.org/trac/boost/ticket/5934" target="_top">#5934</a>).
</li>
<li class="listitem">
Changed class eps_tolerance to behave correctly when both ends of the range
are zero (issue <a href="https://svn.boost.org/trac/boost/ticket/6001" target="_top">#6001</a>).
</li>
<li class="listitem">
Fixed missing include guards on prime.hpp (issue <a href="https://svn.boost.org/trac/boost/ticket/5927" target="_top">#5927</a>).
</li>
<li class="listitem">
Removed unused/undocumented constants from constants.hpp (issue <a href="https://svn.boost.org/trac/boost/ticket/5982" target="_top">#5982</a>).
</li>
<li class="listitem">
Fixed missing std:: prefix in nonfinite_num_facets.hpp (issue <a href="https://svn.boost.org/trac/boost/ticket/5914" target="_top">#5914</a>).
</li>
<li class="listitem">
Minor patches for Cray compiler compatibility.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h38"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_47"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_47">Boost-1.47</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added changesign function to sign.hpp to facilitate addition of nonfinite
facets.
</li>
<li class="listitem">
Addition of nonfinite facets from Johan Rade, with tests, examples of use
for C99 format infinity and NaN, and documentation.
</li>
<li class="listitem">
Added tests and documentation of changesign from Johan Rade.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h39"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_46_1"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_46_1">Boost-1.46.1</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
Fixed issues <a href="https://svn.boost.org/trac/boost/ticket/5095" target="_top">#5095</a>,
<a href="https://svn.boost.org/trac/boost/ticket/5095" target="_top">#5113</a>.
</li></ul></div>
<h5>
<a name="math_toolkit.history2.h40"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_46_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_46_0">Boost-1.46.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added Wald, Inverse Gaussian and geometric distributions.
</li>
<li class="listitem">
Added information about configuration macros.
</li>
<li class="listitem">
Added support for mpreal as a real-numbered type.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h41"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_45_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_45_0">Boost-1.45.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added warnings about potential ambiguity with std random library in distribution
and function names.
</li>
<li class="listitem">
Added inverse gamma distribution and inverse chi_square and scaled inverse
chi_square.
</li>
<li class="listitem">
Editorial revision of documentation, and added FAQ.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h42"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_44_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_44_0">Boost-1.44.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Fixed incorrect range and support for Rayleigh distribution.
</li>
<li class="listitem">
Fixed numerical error in the quantile of the Student's T distribution:
the function was returning garbage values for non-integer degrees of freedom
between 2 and 3.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h43"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_41_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_41_0">Boost-1.41.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
Significantly improved performance for the incomplete gamma function and
its inverse.
</li></ul></div>
<h5>
<a name="math_toolkit.history2.h44"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_40_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_40_0">Boost-1.40.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added support for MPFR as a bignum type.
</li>
<li class="listitem">
Added some full specializations of the policy classes to reduce compile
times.
</li>
<li class="listitem">
Added logistic and hypergeometric distributions, from Gautam Sewani's Google
Summer of Code project.
</li>
<li class="listitem">
Added Laplace distribution submitted by Thijs van den Berg.
</li>
<li class="listitem">
Updated performance test code to include new distributions, and improved
the performance of the non-central distributions.
</li>
<li class="listitem">
Added SSE2 optimised <a class="link" href="lanczos.html" title="The Lanczos Approximation">Lanczos approximation</a>
code, from Gautam Sewani's Google Summer of Code project.
</li>
<li class="listitem">
Fixed bug in cyl_bessel_i that used an incorrect approximation for ν = 0.5,
also effects the non-central Chi Square Distribution when ν = 3, see bug
report <a href="https://svn.boost.org/trac/boost/ticket/2877" target="_top">#2877</a>.
</li>
<li class="listitem">
Fixed minor bugs <a href="https://svn.boost.org/trac/boost/ticket/2873" target="_top">#2873</a>.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h45"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_38_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_38_0">Boost-1.38.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added Johan Råde's optimised floating point classification routines.
</li>
<li class="listitem">
Fixed code so that it compiles in GCC's -pedantic mode (bug report <a href="https://svn.boost.org/trac/boost/ticket/1451" target="_top">#1451</a>).
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h46"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_37_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_37_0">Boost-1.37.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
Improved accuracy and testing of the inverse hypergeometric functions.
</li></ul></div>
<h5>
<a name="math_toolkit.history2.h47"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_36_0"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_36_0">Boost-1.36.0</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added Noncentral Chi Squared Distribution.
</li>
<li class="listitem">
Added Noncentral Beta Distribution.
</li>
<li class="listitem">
Added Noncentral F Distribution.
</li>
<li class="listitem">
Added Noncentral T Distribution.
</li>
<li class="listitem">
Added Exponential Integral Functions.
</li>
<li class="listitem">
Added Zeta Function.
</li>
<li class="listitem">
Added Rounding and Truncation functions.
</li>
<li class="listitem">
Added Compile time powers of runtime bases.
</li>
<li class="listitem">
Added SSE2 optimizations for Lanczos evaluation.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h48"></a>
<span class="phrase"><a name="math_toolkit.history2.boost_1_35_0_post_review_first_o"></a></span><a class="link" href="history2.html#math_toolkit.history2.boost_1_35_0_post_review_first_o">Boost-1.35.0:
Post Review First Official Release</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Added Policy based framework that allows fine grained control over function
behaviour.
</li>
<li class="listitem">
<span class="bold"><strong>Breaking change:</strong></span> Changed default behaviour
for domain, pole and overflow errors to throw an exception (based on review
feedback), this behaviour can be customised using <a class="link" href="../policy.html" title="Chapter 22. Policies: Controlling Precision, Error Handling etc">Policy</a>'s.
</li>
<li class="listitem">
<span class="bold"><strong>Breaking change:</strong></span> Changed exception thrown
when an internal evaluation error occurs to boost::math::evaluation_error.
</li>
<li class="listitem">
<span class="bold"><strong>Breaking change:</strong></span> Changed discrete quantiles
to return an integer result: this is anything up to 20 times faster than
finding the true root, this behaviour can be customised using <a class="link" href="../policy.html" title="Chapter 22. Policies: Controlling Precision, Error Handling etc">Policy</a>'s.
</li>
<li class="listitem">
Polynomial/rational function evaluation is now customisable and hopefully
faster than before.
</li>
<li class="listitem">
Added performance test program.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h49"></a>
<span class="phrase"><a name="math_toolkit.history2.milestone_4_second_review_candid"></a></span><a class="link" href="history2.html#math_toolkit.history2.milestone_4_second_review_candid">Milestone
4: Second Review Candidate (1st March 2007)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Moved Xiaogang Zhang's Bessel Functions code into the library, and brought
them into line with the rest of the code.
</li>
<li class="listitem">
Added C# "Distribution Explorer" demo application.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h50"></a>
<span class="phrase"><a name="math_toolkit.history2.milestone_3_first_review_candida"></a></span><a class="link" href="history2.html#math_toolkit.history2.milestone_3_first_review_candida">Milestone
3: First Review Candidate (31st Dec 2006)</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Implemented the main probability distribution and density functions.
</li>
<li class="listitem">
Implemented digamma.
</li>
<li class="listitem">
Added more factorial functions.
</li>
<li class="listitem">
Implemented the Hermite, Legendre and Laguerre polynomials plus the spherical
harmonic functions from TR1.
</li>
<li class="listitem">
Moved Xiaogang Zhang's elliptic integral code into the library, and brought
them into line with the rest of the code.
</li>
<li class="listitem">
Moved Hubert Holin's existing Boost.Math special functions into this library
and brought them into line with the rest of the code.
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h51"></a>
<span class="phrase"><a name="math_toolkit.history2.milestone_2_released_september_1"></a></span><a class="link" href="history2.html#math_toolkit.history2.milestone_2_released_september_1">Milestone
2: Released September 10th 2006</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Implement preview release of the statistical distributions.
</li>
<li class="listitem">
Added statistical distributions tutorial.
</li>
<li class="listitem">
Implemented root finding algorithms.
</li>
<li class="listitem">
Implemented the inverses of the incomplete gamma and beta functions.
</li>
<li class="listitem">
Rewrite erf/erfc as rational approximations (valid to 128-bit precision).
</li>
<li class="listitem">
Integrated the statistical results generated from the test data with Boost.Test:
uses a database of expected results, indexed by test, floating point type,
platform, and compiler.
</li>
<li class="listitem">
Improved lgamma near 1 and 2 (rational approximations).
</li>
<li class="listitem">
Improved erf/erfc inverses (rational approximations).
</li>
<li class="listitem">
Implemented Rational function generation (the Remez method).
</li>
</ul></div>
<h5>
<a name="math_toolkit.history2.h52"></a>
<span class="phrase"><a name="math_toolkit.history2.milestone_1_released_march_31st_"></a></span><a class="link" href="history2.html#math_toolkit.history2.milestone_1_released_march_31st_">Milestone
1: Released March 31st 2006</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Implement gamma/beta/erf functions along with their incomplete counterparts.
</li>
<li class="listitem">
Generate high quality test data, against which future improvements can
be judged.
</li>
<li class="listitem">
Provide tools for the evaluation of infinite series, continued fractions,
and rational functions.
</li>
<li class="listitem">
Provide tools for testing against tabulated test data, and collecting statistics
on error rates.
</li>
<li class="listitem">
Provide sufficient docs for people to be able to find their way around
the library.
</li>
</ul></div>
<p>
SVN Revisions:
</p>
<p>
Sandbox and trunk last synchonised at revision: .
</p>
</div>
<div class="copyright-footer">Copyright © 2006-2021 Nikhar Agrawal, Anton Bikineev, Matthew Borland,
Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert Holin, Bruno
Lalande, John Maddock, Evan Miller, Jeremy Murphy, Matthew Pulver, Johan Råde,
Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle
Walker and Xiaogang Zhang<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
</div>
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