From 89216def5d0901cf4a3b8dd992fdbbf65fda63f9 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Thu, 25 Mar 2021 15:02:10 +0300 Subject: [PATCH 01/21] Fix for beta link error (#580) --- include/boost/math/special_functions/acosh.hpp | 1 + include/boost/math/special_functions/asinh.hpp | 1 + include/boost/math/special_functions/atanh.hpp | 1 + include/boost/math/special_functions/log1p.hpp | 1 + 4 files changed, 4 insertions(+) diff --git a/include/boost/math/special_functions/acosh.hpp b/include/boost/math/special_functions/acosh.hpp index cdc4905599..9db69ec91a 100644 --- a/include/boost/math/special_functions/acosh.hpp +++ b/include/boost/math/special_functions/acosh.hpp @@ -22,6 +22,7 @@ #include #include #include +#include // This is the inverse of the hyperbolic cosine function. diff --git a/include/boost/math/special_functions/asinh.hpp b/include/boost/math/special_functions/asinh.hpp index e55a356284..3dc1f63f48 100644 --- a/include/boost/math/special_functions/asinh.hpp +++ b/include/boost/math/special_functions/asinh.hpp @@ -23,6 +23,7 @@ #include #include #include +#include // This is the inverse of the hyperbolic sine function. diff --git a/include/boost/math/special_functions/atanh.hpp b/include/boost/math/special_functions/atanh.hpp index 871a465a8c..c2d548dd32 100644 --- a/include/boost/math/special_functions/atanh.hpp +++ b/include/boost/math/special_functions/atanh.hpp @@ -22,6 +22,7 @@ #include #include #include +#include // This is the inverse of the hyperbolic tangent function. diff --git a/include/boost/math/special_functions/log1p.hpp b/include/boost/math/special_functions/log1p.hpp index 7126cc8193..44b1844e70 100644 --- a/include/boost/math/special_functions/log1p.hpp +++ b/include/boost/math/special_functions/log1p.hpp @@ -21,6 +21,7 @@ #include #include #include +#include #ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS # include From 3ecdffc2645ebde52f8845a1fc2dababbbc5248c Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Mon, 29 Mar 2021 13:25:09 +0100 Subject: [PATCH 02/21] Make gini calculation serial only for now. See https://github.com/boostorg/math/issues/585 --- .../math/statistics/univariate_statistics.hpp | 27 +++++++++++++++++++ 1 file changed, 27 insertions(+) diff --git a/include/boost/math/statistics/univariate_statistics.hpp b/include/boost/math/statistics/univariate_statistics.hpp index b24b1089e9..80ae50413a 100644 --- a/include/boost/math/statistics/univariate_statistics.hpp +++ b/include/boost/math/statistics/univariate_statistics.hpp @@ -413,6 +413,12 @@ inline auto median(RandomAccessContainer & v) return median(std::execution::seq, std::begin(v), std::end(v)); } +#if 0 +// +// Parallel gini calculation is curently broken, see: +// https://github.com/boostorg/math/issues/585 +// We will fix this at a later date, for now just use a serial implementation: +// template inline auto gini_coefficient(ExecutionPolicy&& exec, RandomAccessIterator first, RandomAccessIterator last) { @@ -445,6 +451,27 @@ inline auto gini_coefficient(ExecutionPolicy&& exec, RandomAccessIterator first, return detail::gini_coefficient_parallel_impl(exec, first, last); } } +#else +template +inline auto gini_coefficient(ExecutionPolicy&& exec, RandomAccessIterator first, RandomAccessIterator last) +{ + using Real = typename std::iterator_traits::value_type; + + if (!std::is_sorted(exec, first, last)) + { + std::sort(exec, first, last); + } + + if constexpr (std::is_integral_v) + { + return detail::gini_coefficient_sequential_impl(first, last); + } + else + { + return detail::gini_coefficient_sequential_impl(first, last); + } +} +#endif template inline auto gini_coefficient(ExecutionPolicy&& exec, RandomAccessContainer & v) From d6e19aa2de722948f7e55f91084b8271a644e691 Mon Sep 17 00:00:00 2001 From: Peter Dimov Date: Wed, 9 Jun 2021 19:49:17 +0300 Subject: [PATCH 03/21] Add CMakeLists.txt (from current develop) --- CMakeLists.txt | 50 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 50 insertions(+) create mode 100644 CMakeLists.txt diff --git a/CMakeLists.txt b/CMakeLists.txt new file mode 100644 index 0000000000..a55f9d9206 --- /dev/null +++ b/CMakeLists.txt @@ -0,0 +1,50 @@ +# Copyright 2020 Peter Dimov +# Copyright 2021 Matt Borland +# Distributed under the Boost Software License, Version 1.0. +# https://www.boost.org/LICENSE_1_0.txt + +cmake_minimum_required(VERSION 3.5...3.16) + +project(boost_math VERSION "${BOOST_SUPERPROJECT_VERSION}" LANGUAGES CXX) + +add_library(boost_math INTERFACE) + +add_library(Boost::math ALIAS boost_math) + +target_include_directories(boost_math INTERFACE include) + +include(CMakeDependentOption) + +cmake_dependent_option(BOOST_MATH_STANDALONE "Use Boost.Math in standalone mode" ON "NOT BOOST_SUPERPROJECT_VERSION" OFF) + +message(STATUS "Boost.Math: standalone mode ${BOOST_MATH_STANDALONE}") + +if(BOOST_MATH_STANDALONE) + + target_compile_definitions(boost_math INTERFACE BOOST_MATH_STANDALONE=1) + +else() + + target_link_libraries(boost_math + INTERFACE + Boost::assert + Boost::concept_check + Boost::config + Boost::core + Boost::integer + Boost::lexical_cast + Boost::predef + Boost::random + Boost::static_assert + Boost::throw_exception + ) + +endif() + +# Only enable tests when we're the root project +if(CMAKE_SOURCE_DIR STREQUAL CMAKE_CURRENT_SOURCE_DIR) + + include(CTest) + add_subdirectory(test) + +endif() From a7bfb5a914bed5cdeeb826ca06bcbfc317280c95 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sun, 27 Jun 2021 19:38:05 +0100 Subject: [PATCH 04/21] Prep for 1.77: Rework hypergeometric distro equations. Fix up Fibonacci docs. Fix Fibonacci constexpr and noexcept usage and add to testing. Regenerate docs. --- doc/distributions/hypergeometric.qbk | 24 +- doc/equations/hypergeometric6.svg | 686 +++++++++++++++++- doc/html/index.html | 2 +- doc/html/indexes/s01.html | 34 +- doc/html/indexes/s02.html | 10 +- doc/html/indexes/s03.html | 2 +- doc/html/indexes/s04.html | 3 +- doc/html/indexes/s05.html | 82 ++- doc/html/interpolation.html | 1 + doc/html/math_toolkit/bilinear_uniform.html | 144 ++++ doc/html/math_toolkit/conventions.html | 2 +- .../dist_ref/dists/hypergeometric_dist.html | 16 - doc/html/math_toolkit/history1.html | 122 ++-- doc/html/math_toolkit/history2.html | 122 ++-- doc/html/math_toolkit/navigation.html | 2 +- doc/html/math_toolkit/number_series.html | 2 + .../number_series/fibonacci_numbers.html | 198 +++++ .../math_toolkit/number_series/primes.html | 6 +- doc/html/math_toolkit/quintic_hermite.html | 6 +- doc/html/math_toolkit/sf_gamma.html | 6 +- doc/html/quadrature.html | 6 +- doc/html/special.html | 2 + doc/html/standalone_HTML.manifest | 2 + doc/overview/roadmap.qbk | 12 + doc/sf/number_series.qbk | 91 ++- example/Jamfile.v2 | 2 +- example/reciprocal_fibonacci_constant.cpp | 4 + .../math/special_functions/fibonacci.hpp | 16 +- test/Jamfile.v2 | 2 +- test/test_fibonacci.cpp | 16 +- 30 files changed, 1460 insertions(+), 163 deletions(-) create mode 100644 doc/html/math_toolkit/bilinear_uniform.html create mode 100644 doc/html/math_toolkit/number_series/fibonacci_numbers.html diff --git a/doc/distributions/hypergeometric.qbk b/doc/distributions/hypergeometric.qbk index 89b9ce46f9..5780c788d5 100644 --- a/doc/distributions/hypergeometric.qbk +++ b/doc/distributions/hypergeometric.qbk @@ -229,18 +229,24 @@ gives the required CDF. The median is simply the quantile at 0.5, and the remaining properties are calculated via: -[equation hypergeometric6] +[/ +Requires amsmath and mathtools: + +\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor} +\begin{equation*} +\begin{split} +mean & = \frac{rn}{N} \\ +mode & = \floor*{ \frac{(r+1)(n+1)}{N+2} }\\ +variance & = \frac{r(\frac{n}{N})(1-\frac{n}{N})(N-r)}{(N-1)}\\ +skewness & = \frac{(N-2n)\sqrt{(N-1)}(N-2r)}{\sqrt{rn(N-n)(N-r)}(N-2)}\\ +kertosis\:excess & = \frac{(N-1)N^2(N(N+1)-6r(N-r)-6n(N-n)+6nr(N-r)(N-n)(5N-6)}{nr(N-r)(N-n)(N-2)(N-3)} +\end{split} +\end{equation*} -[note The kurtosis formula above is not quite correct and kurtosis excess is now calculated -from -[@https://www.wolframalpha.com/input/?i=kurtosis+hypergeometric+distribution Wolfram Alpha hypergeometric distribution kurtosis]. -(The hypergeometric distribution kurtosis excess is mentioned in -[@https://mathworld.wolfram.com/HypergeometricDistribution.html Wolfram Hypergeometric distribution] -but coyly only described as ['\"the kurtosis excess is given by a complicated expression.\"]). -This has been found numerically equivalent to the -[@https://en.wikipedia.org/wiki/Hypergeometric_distribution Wikipedia hypergeometric kurtosis excess formula]. ] +[equation hypergeometric6] + [endsect] [/ hypergeometric.qbk diff --git a/doc/equations/hypergeometric6.svg b/doc/equations/hypergeometric6.svg index d53504b330..8be5ec9e65 100644 --- a/doc/equations/hypergeometric6.svg +++ b/doc/equations/hypergeometric6.svg @@ -1,2 +1,684 @@ - -mean=rnNmode=floor((r+1)(n+1)N+2)variance=r(nN)(1nN)(Nr)(N1)skewness=(N2n)(N1)(N2r)rn(Nn)(Nr)(N2)kurtosis excess=(N2(N1)r(N2)(N3)(Nr))(N(N+1)6N(Nr)n(Nn)+3r(Nr)(N+6)N26) \ No newline at end of file + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/doc/html/index.html b/doc/html/index.html index 5f71a85558..c46436556c 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -134,7 +134,7 @@ - +

Last revised: June 16, 2021 at 10:35:24 GMT

Last revised: June 27, 2021 at 18:26:02 GMT


diff --git a/doc/html/indexes/s01.html b/doc/html/indexes/s01.html index ed5fcc8652..818036fcff 100644 --- a/doc/html/indexes/s01.html +++ b/doc/html/indexes/s01.html @@ -24,7 +24,7 @@

-Function Index

+Function Index

1 2 4 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

@@ -123,6 +123,10 @@
  • +

    addition

    + +
  • +
  • add_fn

  • @@ -277,7 +281,10 @@
  • at

    - +
  • atanh

    @@ -1320,6 +1327,10 @@
  • +

    fibonacci

    + +
  • +
  • find_alpha

  • @@ -2060,6 +2071,7 @@
  • -

    means

    - -
  • -
  • means_and_covariance

  • @@ -2720,6 +2728,7 @@
  • Automatic Differentiation

  • Bessel Functions of the First and Second Kinds

  • Empirical Cumulative Distribution Function

  • +
  • Fibonacci Numbers

  • Lanczos Smoothing Derivatives

  • Modified Bessel Functions of the First and Second Kinds

  • tanh_sinh

  • @@ -2765,6 +2774,7 @@
  • +

    set

    + +
  • +
  • set_zero

  • @@ -3631,6 +3649,10 @@
  • +

    unchecked_fibonacci

    + +
  • +
  • unreal

    • Octonion Member Functions

    • diff --git a/doc/html/indexes/s02.html b/doc/html/indexes/s02.html index 1178116249..e742846932 100644 --- a/doc/html/indexes/s02.html +++ b/doc/html/indexes/s02.html @@ -24,7 +24,7 @@

    -Class Index

    +Class Index

    A B C D E F G H I K L M N O P Q R S T U V W

    @@ -45,6 +45,10 @@
  • bernoulli_distribution

  • beta_distribution

  • +
  • +

    bilinear_uniform

    + +
  • binomial_distribution

  • @@ -182,6 +186,10 @@
    • +

      fibonacci_generator

      + +
    • +
    • fisher_f_distribution

    • diff --git a/doc/html/indexes/s03.html b/doc/html/indexes/s03.html index b5a850a116..cc4c2a8c5c 100644 --- a/doc/html/indexes/s03.html +++ b/doc/html/indexes/s03.html @@ -24,7 +24,7 @@

    -Typedef Index

    +Typedef Index

    A B C D E F G H I K L N P R S T U V W

    diff --git a/doc/html/indexes/s04.html b/doc/html/indexes/s04.html index e93374726f..e60c7717cf 100644 --- a/doc/html/indexes/s04.html +++ b/doc/html/indexes/s04.html @@ -24,7 +24,7 @@

    -Macro Index

    +Macro Index

    B F

    @@ -308,6 +308,7 @@

    BOOST_MATH_STANDALONE

    diff --git a/doc/html/indexes/s05.html b/doc/html/indexes/s05.html index 6e8b4bbce6..33bc41746c 100644 --- a/doc/html/indexes/s05.html +++ b/doc/html/indexes/s05.html @@ -23,7 +23,7 @@

    -Index

    +Index

    1 2 4 5 7 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

    @@ -375,6 +375,10 @@
  • +

    addition

    + +
  • +
  • add_fn

  • @@ -612,7 +616,10 @@
  • at

    - +
  • atanh

    @@ -818,6 +825,22 @@
  • beta_distribution

  • +

    Bilinear Uniform Interpolation

    + +
  • +
  • +

    bilinear_uniform

    + +
  • +
  • binomial

  • @@ -1221,6 +1244,7 @@

    BOOST_MATH_STANDALONE

    @@ -2404,6 +2428,7 @@
  • Arithmetic-Geometric Mean

  • Automatic Differentiation

  • Barycentric Rational Interpolation

  • +
  • Bilinear Uniform Interpolation

  • Binomial Distribution

  • Binomial Quiz Example

  • Bivariate Statistics

  • @@ -2430,6 +2455,7 @@
  • Exponential Integral Ei

  • Extreme Value Distribution

  • Factorial

  • +
  • Fibonacci Numbers

  • Floating-Point Constant Macros

  • Gauss-Kronrod Quadrature

  • Gauss-Legendre quadrature

  • @@ -4142,6 +4168,7 @@
  • Elliptic Integral Overview

  • F Distribution

  • Factorial

  • +
  • Fibonacci Numbers

  • Find Scale (Standard Deviation) Example

  • Finding Zeros of Bessel Functions of the First and Second Kinds

  • Gamma (and Erlang) Distribution

  • @@ -4232,10 +4259,6 @@
  • -

    F Distribution Examples

    - -
  • -
  • Facets for Floating-Point Infinities and NaNs

  • +

    fibonacci

    + +
  • +
  • +

    Fibonacci Numbers

    + +
  • +
  • +

    fibonacci_generator

    + +
  • +
  • file

    diff --git a/doc/html/math_toolkit/bilinear_uniform.html b/doc/html/math_toolkit/bilinear_uniform.html new file mode 100644 index 0000000000..346b4f4284 --- /dev/null +++ b/doc/html/math_toolkit/bilinear_uniform.html @@ -0,0 +1,144 @@ + + + +Bilinear Uniform Interpolation + + + + + + + + + + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +
    +
    +PrevUpHomeNext +
    +
    + +

    + + Synopsis +

    +
    #include <boost/math/interpolators/bilinear_uniform.hpp>
    +
    +namespace boost::math::interpolators {
    +
    +template <class RandomAccessContainer>
    +class bilinear_uniform
    +{
    +public:
    +    using Real = typename RandomAccessContainer::value_type;
    +
    +    bilinear_uniform(RandomAccessContainer && fieldData, decltype(fieldData.size()) rows, decltype(fieldData.size()) cols, Real dx = 1, Real dy = 1, Real x0 = 0, Real y0 = 0)
    +
    +    Real operator()(Real x, Real y) const;
    +};
    +
    +

    + + Bilinear + Uniform Interpolation +

    +

    + The bilinear uniform interpolator takes a grid of data points specified by + a linear index and interpolates between each segment using a bilinear function. + Note that "bilinear" does not mean linear-it is the product of two + linear functions. The interpolant is continuous and its evaluation is constant + time. An example usage is as follows: +

    +
    std::vector<double> v{0.1, 0.2, 0.3,
    +                      0.4, 0.5, 0.5};
    +using boost::math::interpolators::bilinear_uniform;
    +int rows = 2;
    +int cols = 3;
    +double dx = 1;
    +double dy = 1;
    +auto bu = bilinear_uniform(std::move(v), rows, cols, dx, dy);
    +// evaluate at a point:
    +double z = bu(0.0, 0.0);
    +
    +

    + Periodically, it is helpful to see what data the interpolator has. This can + be achieved via +

    +
    std::cout << ub << "\n";
    +
    +

    + Note that the interpolator is pimpl'd, so that copying the class is cheap, + and hence it can be shared between threads. (The call operator is threadsafe.) +

    +

    + Note that the layout of the field data follows the convention found in laying + out images: The first value is associated with (x0, y0), and the last value + is associate with (x0 + (cols - 1)dx, y0 + (rows - 1)dy). This matches with + how we think about laying out matrices in C order, but of course there is no + canonical choice and conventions must be made. For example, it is traditional + in image processing the associate the first field value with the center of + the pixel (which would be called a cell-centered field in VTK). This interpolator + is point-centered, in the sense that (x0,y0) is associated with value v[0], + and (x0+dx, y0) associated with v[1]. If you have cell-centered data at (0,0), + then just pass (x0,y0) = (0.5, 0.5) to this interpolator. +

    +

    + Note that this interpolator does not provide the option for a rotation. We + regarded that as too expensive to handle in this class. Rotating the arguments + must be performed by the user. +

    +

    + + Complexity + and Performance +

    +

    + The google/benchmark in reporting/performance/bilinear_uniform_performance.cpp demonstrates + the cost of the call operator for this interpolator: +

    +
    Run on (16 X 4300 MHz CPU s)
    +CPU Caches:
    +  L1 Data 32K (x8)
    +  L1 Instruction 32K (x8)
    +  L2 Unified 1024K (x8)
    +  L3 Unified 11264K (x1)
    +Load Average: 0.92, 0.64, 0.35
    +--------------------------------------
    +Benchmark                      Time
    +--------------------------------------
    +Bilinear<double>/64            13.6 ns
    +Bilinear<double>/128           13.3 ns
    +Bilinear<double>/256           13.9 ns
    +Bilinear<double>/512           13.7 ns
    +Bilinear<double>/1024          13.2 ns
    +Bilinear<double>/2048          13.1 ns
    +Bilinear<double>/4096          13.2 ns
    +Bilinear<double>/8192          13.2 ns
    +
    +
    + + + +
    +
    +
    +PrevUpHomeNext +
    + + diff --git a/doc/html/math_toolkit/conventions.html b/doc/html/math_toolkit/conventions.html index 5b815d0c09..f0d0f19433 100644 --- a/doc/html/math_toolkit/conventions.html +++ b/doc/html/math_toolkit/conventions.html @@ -27,7 +27,7 @@ Document Conventions

    - +

    This documentation aims to use of the following naming and formatting conventions. diff --git a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html index 7b11aa9841..f204bcf3b5 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html @@ -342,22 +342,6 @@

    -
    - - - - - -
    [Note]Note

    - The kurtosis formula above is not quite correct and kurtosis excess is - now calculated from Wolfram - Alpha hypergeometric distribution kurtosis. (The hypergeometric - distribution kurtosis excess is mentioned in Wolfram - Hypergeometric distribution but coyly only described as "the - kurtosis excess is given by a complicated expression."). - This has been found numerically equivalent to the Wikipedia - hypergeometric kurtosis excess formula. -

    diff --git a/doc/html/math_toolkit/history1.html b/doc/html/math_toolkit/history1.html index 3d50c46e66..3ff59e77c4 100644 --- a/doc/html/math_toolkit/history1.html +++ b/doc/html/math_toolkit/history1.html @@ -38,6 +38,42 @@

    + Math-3.1.0 + (Boost-1.77) +
    +
      +
    • + This library can now be used entirely standalone, without the rest of Boost: + either use a compiler which supports __has_include + or define BOOST_MATH_STANDALONE + to enable standalone mode. +
    • +
    • + Add Bilinear Uniform Interpolation. +
    • +
    • + Add Fibonacci + Numbers. +
    • +
    • + Fix Hypergeometric Distribution kertosis, see #639. +
    • +
    • + Fix closed Catmull-Rom curves to have the same start/end point. See #636. +
    • +
    • + Correct Bernoulli number caching in multi-threading multiprecision case. +
    • +
    • + Re-enabled the ability to build in environments with no std lib threading + support. See #621. +
    • +
    • + Correct Gini-coefficient parrellel calculation. +
    • +
    +
    + Math-3.0.0 (Boost-1.76)
    @@ -88,7 +124,7 @@
    - + Math-2.13.0 (Boost-1.75)
    @@ -139,7 +175,7 @@
    - + Math-2.12.0 (Boost-1.73)
    @@ -181,7 +217,7 @@
    - + Math-2.11.0 (Boost-1.72)
    @@ -243,7 +279,7 @@
    - + Math-2.10.0 (Boost-1.71)
    @@ -277,7 +313,7 @@
    - + Math-2.9.0 (Boost-1.70)
    @@ -331,7 +367,7 @@
    - + Math-2.8.0 (Boost-1.69)
    @@ -388,7 +424,7 @@
    - + Math-2.7.1 (Boost-1.68)
    @@ -402,7 +438,7 @@
    - + Math-2.7.0 (Boost-1.66)
    @@ -419,7 +455,7 @@
    - + Math-2.6.0 (Boost-1.65)
    @@ -456,7 +492,7 @@
    - + Math-2.5.2 (Boost-1.64)
    @@ -473,7 +509,7 @@
    - + Math-2.5.1 (Boost-1.63)
    @@ -489,7 +525,7 @@
    - + Math-2.5.0 (Boost-1.62)
    @@ -514,7 +550,7 @@
    - + Math-2.4.0 (Boost-1.61)
    @@ -525,7 +561,7 @@
    Polynomial arithmetic added to tools.
    - + Math-2.3.0 (Boost-1.60)
    @@ -604,7 +640,7 @@
    - + Math-2.2.1

    @@ -623,7 +659,7 @@

    - + Math-2.2.0 (boost-1.58.0)
    @@ -667,7 +703,7 @@
    - + Math-2.1.0 (boost-1.57.0)
    @@ -693,7 +729,7 @@
    - + Math-2.0.0 (Boost-1.56.0)
    @@ -744,7 +780,7 @@
    - + Math-1.9.1
      @@ -759,7 +795,7 @@
    - + Math-1.9.0
      @@ -826,7 +862,7 @@
    - + Boost-1.55
      @@ -885,7 +921,7 @@
      and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu

      - + Boost-1.54
      @@ -939,7 +975,7 @@
    - + Boost-1.53
      @@ -974,7 +1010,7 @@
    - + Boost-1.52
      @@ -1021,14 +1057,14 @@
    - + Boost-1.51

    See Boost-1.52 - some items were added but not listed in time for the release.

    - + Boost-1.50
      @@ -1065,7 +1101,7 @@
    - + Boost-1.49
      @@ -1109,7 +1145,7 @@
    - + Boost-1.48
      @@ -1160,7 +1196,7 @@
    - + Boost-1.47
      @@ -1177,7 +1213,7 @@
    - + Boost-1.46.1
    • @@ -1185,7 +1221,7 @@
      #5113.
    - + Boost-1.46.0
      @@ -1200,7 +1236,7 @@
    - + Boost-1.45.0
      @@ -1217,7 +1253,7 @@
    - + Boost-1.44.0
      @@ -1231,7 +1267,7 @@
    - + Boost-1.41.0
    • @@ -1239,7 +1275,7 @@
      its inverse.
    - + Boost-1.40.0
      @@ -1275,7 +1311,7 @@
    - + Boost-1.38.0
      @@ -1287,14 +1323,14 @@
    - + Boost-1.37.0
    • Improved accuracy and testing of the inverse hypergeometric functions.
    - + Boost-1.36.0
      @@ -1327,7 +1363,7 @@
    - + Boost-1.35.0: Post Review First Official Release
    @@ -1359,7 +1395,7 @@
    - + Milestone 4: Second Review Candidate (1st March 2007)
    @@ -1373,7 +1409,7 @@
    - + Milestone 3: First Review Candidate (31st Dec 2006)
    @@ -1401,7 +1437,7 @@
    - + Milestone 2: Released September 10th 2006
    @@ -1437,7 +1473,7 @@
    - + Milestone 1: Released March 31st 2006
    diff --git a/doc/html/math_toolkit/history2.html b/doc/html/math_toolkit/history2.html index 28cb77aac0..d62d163178 100644 --- a/doc/html/math_toolkit/history2.html +++ b/doc/html/math_toolkit/history2.html @@ -38,6 +38,42 @@

    + Math-3.1.0 + (Boost-1.77) +
    +
      +
    • + This library can now be used entirely standalone, without the rest of Boost: + either use a compiler which supports __has_include + or define BOOST_MATH_STANDALONE + to enable standalone mode. +
    • +
    • + Add Bilinear Uniform Interpolation. +
    • +
    • + Add Fibonacci + Numbers. +
    • +
    • + Fix Hypergeometric Distribution kertosis, see #639. +
    • +
    • + Fix closed Catmull-Rom curves to have the same start/end point. See #636. +
    • +
    • + Correct Bernoulli number caching in multi-threading multiprecision case. +
    • +
    • + Re-enabled the ability to build in environments with no std lib threading + support. See #621. +
    • +
    • + Correct Gini-coefficient parrellel calculation. +
    • +
    +
    + Math-3.0.0 (Boost-1.76)
    @@ -88,7 +124,7 @@
    - + Math-2.13.0 (Boost-1.75)
    @@ -139,7 +175,7 @@
    - + Math-2.12.0 (Boost-1.73)
    @@ -181,7 +217,7 @@
    - + Math-2.11.0 (Boost-1.72)
    @@ -243,7 +279,7 @@
    - + Math-2.10.0 (Boost-1.71)
    @@ -277,7 +313,7 @@
    - + Math-2.9.0 (Boost-1.70)
    @@ -331,7 +367,7 @@
    - + Math-2.8.0 (Boost-1.69)
    @@ -388,7 +424,7 @@
    - + Math-2.7.1 (Boost-1.68)
    @@ -402,7 +438,7 @@
    - + Math-2.7.0 (Boost-1.66)
    @@ -419,7 +455,7 @@
    - + Math-2.6.0 (Boost-1.65)
    @@ -456,7 +492,7 @@
    - + Math-2.5.2 (Boost-1.64)
    @@ -473,7 +509,7 @@
    - + Math-2.5.1 (Boost-1.63)
    @@ -489,7 +525,7 @@
    - + Math-2.5.0 (Boost-1.62)
    @@ -514,7 +550,7 @@
    - + Math-2.4.0 (Boost-1.61)
    @@ -525,7 +561,7 @@
    Polynomial arithmetic added to tools.
    - + Math-2.3.0 (Boost-1.60)
    @@ -604,7 +640,7 @@
    - + Math-2.2.1

    @@ -623,7 +659,7 @@

    - + Math-2.2.0 (boost-1.58.0)
    @@ -667,7 +703,7 @@
    - + Math-2.1.0 (boost-1.57.0)
    @@ -693,7 +729,7 @@
    - + Math-2.0.0 (Boost-1.56.0)
    @@ -744,7 +780,7 @@
    - + Math-1.9.1
      @@ -759,7 +795,7 @@
    - + Math-1.9.0
      @@ -826,7 +862,7 @@
    - + Boost-1.55
      @@ -885,7 +921,7 @@
      and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu

      - + Boost-1.54
      @@ -939,7 +975,7 @@
    - + Boost-1.53
      @@ -974,7 +1010,7 @@
    - + Boost-1.52
      @@ -1021,14 +1057,14 @@
    - + Boost-1.51

    See Boost-1.52 - some items were added but not listed in time for the release.

    - + Boost-1.50
      @@ -1065,7 +1101,7 @@
    - + Boost-1.49
      @@ -1109,7 +1145,7 @@
    - + Boost-1.48
      @@ -1160,7 +1196,7 @@
    - + Boost-1.47
      @@ -1177,7 +1213,7 @@
    - + Boost-1.46.1
    • @@ -1185,7 +1221,7 @@
      #5113.
    - + Boost-1.46.0
      @@ -1200,7 +1236,7 @@
    - + Boost-1.45.0
      @@ -1217,7 +1253,7 @@
    - + Boost-1.44.0
      @@ -1231,7 +1267,7 @@
    - + Boost-1.41.0
    • @@ -1239,7 +1275,7 @@
      its inverse.
    - + Boost-1.40.0
      @@ -1275,7 +1311,7 @@
    - + Boost-1.38.0
      @@ -1287,14 +1323,14 @@
    - + Boost-1.37.0
    • Improved accuracy and testing of the inverse hypergeometric functions.
    - + Boost-1.36.0
      @@ -1327,7 +1363,7 @@
    - + Boost-1.35.0: Post Review First Official Release
    @@ -1359,7 +1395,7 @@
    - + Milestone 4: Second Review Candidate (1st March 2007)
    @@ -1373,7 +1409,7 @@
    - + Milestone 3: First Review Candidate (31st Dec 2006)
    @@ -1401,7 +1437,7 @@
    - + Milestone 2: Released September 10th 2006
    @@ -1437,7 +1473,7 @@
    - + Milestone 1: Released March 31st 2006
    diff --git a/doc/html/math_toolkit/navigation.html b/doc/html/math_toolkit/navigation.html index 7748e49df6..4bd188e1ba 100644 --- a/doc/html/math_toolkit/navigation.html +++ b/doc/html/math_toolkit/navigation.html @@ -27,7 +27,7 @@ Navigation

    - +

    Boost.Math documentation is provided in both HTML and PDF formats. diff --git a/doc/html/math_toolkit/number_series.html b/doc/html/math_toolkit/number_series.html index 2d7be9aaa8..77142c3685 100644 --- a/doc/html/math_toolkit/number_series.html +++ b/doc/html/math_toolkit/number_series.html @@ -31,6 +31,8 @@ Numbers

    Tangent Numbers
    Prime Numbers
    +
    Fibonacci + Numbers
    diff --git a/doc/html/math_toolkit/number_series/fibonacci_numbers.html b/doc/html/math_toolkit/number_series/fibonacci_numbers.html new file mode 100644 index 0000000000..923a2a47df --- /dev/null +++ b/doc/html/math_toolkit/number_series/fibonacci_numbers.html @@ -0,0 +1,198 @@ + + + +Fibonacci Numbers + + + + + + + + +
    + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +
    +
    +PrevUpHomeNext +
    +
    + +

    + Fibonacci numbers + (Fn) follows the linear recurrence Fn=Fn-1+Fn-2 starting with F0=0, F1=1. +

    +
    + + Synopsis +
    +
    #include <boost/math/special_functions/fibonacci.hpp>
    +
    +
    namespace boost { namespace math {
    +
    +template <class T, class Policy>
    +constexpr T fibonacci(unsigned long long n) // Checked version (default policy)
    +
    +template <class T, class Policy>
    +constexpr T fibonacci(unsigned long long n, const Policy &pol) // Checked version (policy for errors etc.)
    +
    +template <typename T>
    +constexpr T unchecked_fibonacci(unsigned long long n) noexcept(std::is_fundamental<T>::value); {  // Unchecked version (no policy).
    +
    +}} // namespaces
    +
    +

    + The functions return Fn for a given input n having type + T. +

    +
    + + Description +
    +

    + The checked versions checks for the overflow before starting the computation. + If n is so large that the result can not be represented + in type T, it then calls overflow_error. + The overflow check is susceptible to off-by-one errors around the overflow + limit. See Binet's Formula below for more details on the check. +

    +

    + These functions are all constexpr + from C++14 onwards, and in addition unchecked_fibonacci + is noexcept when T is a fundamental + type. +

    +

    + The final Policy argument is optional and can + be used to control the behaviour of the function: how it handles errors, + what level of precision to use etc. Refer to the policy + documentation for more details. +

    +

    + If in the checked version, the overflow check succeeds then the unchecked + version is called which computes the desired Fn. Checked version is slower + because of the overhead involved in overflow check. +

    +
    + + Generator +
    +
    #include <boost/math/special_functions/fibonacci.hpp>
    +
    +
    template <typename T>
    +class fibonacci_generator {
    +  // returns consecutive fibonacci number starting from 0, 1, 1, 2, ...
    +  T operator()();
    +  // reset the generator to start from nth fibonacci number
    +  void set(unsigned long long n);
    +}
    +
    +

    + The generator returns consecutive fibonacci numbers starting with 0, 1, 1, + 2... +

    +

    + The state of the generator can be modified using set() + which makes generator return consecutive fibonacci numbers starting from + n[sup th] fibonacci number. +

    +
    boost::math::fibonacci_generator<int> gen;
    +int x = gen(); // x is 0
    +int y = gen(); // y is 1
    +for(int i = 0; i < 5; ++i) // this loop is same as gen.set(7);
    +    gen();
    +int z = gen(); // z is 13 
    +
    +

    + Generator is non-throwing for all fundamental types and will not check for + overflows. +

    +
    + + Type + Requirements +
    +

    + The type must be an arithmetic type supporting +, -, * and can be initialized + from trivial integral types. +

    +
    + + Example +
    +

    + The file reciprocal_fibonacci_constant.cpp + uses fibonacci_generator + to calculate the reciprocal fibonacci constant to 1000 digit precision like + so: +

    +
    #include <boost/math/special_functions/fibonacci.hpp>
    +#include <boost/multiprecision/mpfr.hpp>
    +#include <iomanip>
    +#include <iostream>
    +
    +int main() {
    +    using Real = boost::multiprecision::mpfr_float_1000;
    +    boost::math::fibonacci_generator<Real> gen;
    +    gen.set(1); // start producing values from 1st fibonacci number
    +    Real ans = 0;
    +    const int ITR = 1000;
    +    for (int i = 0; i < ITR; ++i) {
    +        ans += 1.0 / gen();
    +    }
    +    std::cout << std::setprecision(1000) << "Reciprocal fibonacci constant after "
    +              << ITR << " iterations is: " << ans << std::endl;
    +}
    +
    +
    + + Implementation +
    +

    + The time complexity for computing fibonacci number is O(log n), without considering + the time complexities of multiplication and addition (where n + is the input parameter). The implementation is iterative version of Dijkstra's identities + and which simply walks down the bits of n. +

    +
    + + Binet's + Formula +
    +

    + There is a closed form expression for computing fibonacci numbers but since + it suffers from imprecision issues (using floating point computation), it + is not implemented. +

    +

    + However an approximate formula is used for the overflow checking in the checked + version. +

    +
    + + + +
    +
    +
    +PrevUpHomeNext +
    + + diff --git a/doc/html/math_toolkit/number_series/primes.html b/doc/html/math_toolkit/number_series/primes.html index 1c9afbf8b2..695bf21283 100644 --- a/doc/html/math_toolkit/number_series/primes.html +++ b/doc/html/math_toolkit/number_series/primes.html @@ -7,7 +7,7 @@ - + @@ -20,7 +20,7 @@

    -PrevUpHomeNext +PrevUpHomeNext

    @@ -83,7 +83,7 @@


    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/math_toolkit/quintic_hermite.html b/doc/html/math_toolkit/quintic_hermite.html index 2b726631c7..1897cefe26 100644 --- a/doc/html/math_toolkit/quintic_hermite.html +++ b/doc/html/math_toolkit/quintic_hermite.html @@ -7,7 +7,7 @@ - + @@ -20,7 +20,7 @@

    -PrevUpHomeNext +PrevUpHomeNext

    @@ -236,7 +236,7 @@


    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/math_toolkit/sf_gamma.html b/doc/html/math_toolkit/sf_gamma.html index dbc8388059..b10a9e83ff 100644 --- a/doc/html/math_toolkit/sf_gamma.html +++ b/doc/html/math_toolkit/sf_gamma.html @@ -6,7 +6,7 @@ - + @@ -20,7 +20,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -54,7 +54,7 @@
    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/quadrature.html b/doc/html/quadrature.html index acbb599d69..f19a0a6d78 100644 --- a/doc/html/quadrature.html +++ b/doc/html/quadrature.html @@ -6,7 +6,7 @@ - + @@ -20,7 +20,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -70,7 +70,7 @@
    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/special.html b/doc/html/special.html index 9243ac2cc5..814be1732f 100644 --- a/doc/html/special.html +++ b/doc/html/special.html @@ -34,6 +34,8 @@ Numbers
    Tangent Numbers
    Prime Numbers
    +
    Fibonacci + Numbers

  • Gamma Functions
    diff --git a/doc/html/standalone_HTML.manifest b/doc/html/standalone_HTML.manifest index 725bdf12be..94eff5ee84 100644 --- a/doc/html/standalone_HTML.manifest +++ b/doc/html/standalone_HTML.manifest @@ -168,6 +168,7 @@ math_toolkit/number_series.html math_toolkit/number_series/bernoulli_numbers.html math_toolkit/number_series/tangent_numbers.html math_toolkit/number_series/primes.html +math_toolkit/number_series/fibonacci_numbers.html math_toolkit/sf_gamma.html math_toolkit/sf_gamma/tgamma.html math_toolkit/sf_gamma/lgamma.html @@ -326,6 +327,7 @@ math_toolkit/cubic_hermite.html math_toolkit/makima.html math_toolkit/pchip.html math_toolkit/quintic_hermite.html +math_toolkit/bilinear_uniform.html quadrature.html math_toolkit/trapezoidal.html math_toolkit/gauss.html diff --git a/doc/overview/roadmap.qbk b/doc/overview/roadmap.qbk index cecb495403..ef3c2444b2 100644 --- a/doc/overview/roadmap.qbk +++ b/doc/overview/roadmap.qbk @@ -8,6 +8,18 @@ All old bug reports including closed ones can be viewed on Trac Recent issues on GitHub [@https://github.com/boostorg/math/issues?utf8=%E2%9C%93&q=is%3Aissue here]. +[h4 Math-3.1.0 (Boost-1.77)] + +* This library can now be used entirely standalone, without the rest of Boost: either use a compiler +which supports `__has_include` or define `BOOST_MATH_STANDALONE` to enable standalone mode. +* Add [link math_toolkit.bilinear_uniform Bilinear Uniform Interpolation]. +* Add [link math_toolkit.number_series.fibonacci_numbers Fibonacci Numbers]. +* Fix Hypergeometric Distribution kertosis, see [@https://github.com/boostorg/math/issues/639 #639]. +* Fix closed Catmull-Rom curves to have the same start/end point. See [@https://github.com/boostorg/math/issues/636 #636]. +* Correct Bernoulli number caching in multi-threading multiprecision case. +* Re-enabled the ability to build in environments with no std lib threading support. See [@https://github.com/boostorg/math/issues/621 #621]. +* Correct Gini-coefficient parrellel calculation. + [h4 Math-3.0.0 (Boost-1.76)] * [*Breaking Change:] C++03 support is now removed, a C++11 or later conformant compiler is now required to use this library. diff --git a/doc/sf/number_series.qbk b/doc/sf/number_series.qbk index 2e0f0ef2c0..c47cc877f6 100644 --- a/doc/sf/number_series.qbk +++ b/doc/sf/number_series.qbk @@ -261,11 +261,100 @@ This function is `constexpr` only if the compiler supports C++14 constexpr funct [endsect] [/section:primes] +[section:fibonacci_numbers Fibonacci Numbers] + +[@https://en.wikipedia.org/wiki/Fibonacci_number Fibonacci numbers] (F[sub n]) follows the linear recurrence F[sub n]=F[sub n-1]+F[sub n-2] starting with F[sub 0]=0, F[sub 1]=1. + +[h4 Synopsis] + +`` +#include +`` + + namespace boost { namespace math { + + template + constexpr T fibonacci(unsigned long long n) // Checked version (default policy) + + template + constexpr T fibonacci(unsigned long long n, const Policy &pol) // Checked version (policy for errors etc.) + + template + constexpr T unchecked_fibonacci(unsigned long long n) noexcept(std::is_fundamental::value); { // Unchecked version (no policy). + + }} // namespaces + +The functions return F[sub n] for a given input [^n] having type [^T]. + +[h4 Description] +The checked versions checks for the overflow before starting the computation. If [^n] is so large that the result can not +be represented in type [^T], it then calls __overflow_error. The overflow check is susceptible to off-by-one errors around the overflow limit. See Binet's Formula below for more details on the check. + +These functions are all `constexpr` from C++14 onwards, and in addition `unchecked_fibonacci` is `noexcept` when T is a fundamental type. + +[optional_policy] + +If in the checked version, the overflow check succeeds then the unchecked version is called which computes the desired F[sub n]. Checked version is slower because of the overhead involved in overflow check. + +[h4 Generator] + +`` +#include +`` + + template + class fibonacci_generator { + // returns consecutive fibonacci number starting from 0, 1, 1, 2, ... + T operator()(); + // reset the generator to start from nth fibonacci number + void set(unsigned long long n); + } + +The generator returns consecutive fibonacci numbers starting with 0, 1, 1, 2... + +The state of the generator can be modified using [^set()] which makes generator return consecutive fibonacci numbers starting from [^n][sup th] fibonacci number. + + boost::math::fibonacci_generator gen; + int x = gen(); // x is 0 + int y = gen(); // y is 1 + for(int i = 0; i < 5; ++i) // this loop is same as gen.set(7); + gen(); + int z = gen(); // z is 13 + + +Generator is non-throwing for all fundamental types and will not check for overflows. + +[h4 Type Requirements] + +The type must be an arithmetic type supporting +, -, * and can be initialized from trivial integral types. + +[h4 Example] + +The file [@../../example/reciprocal_fibonacci_constant.cpp reciprocal_fibonacci_constant.cpp] uses `fibonacci_generator` to calculate the +reciprocal fibonacci constant to 1000 digit precision like so: + +[import ../../example/reciprocal_fibonacci_constant.cpp] + +[fibonacci_eg] + +[h4 Implementation] + +The time complexity for computing fibonacci number is O(log n), without considering the time complexities of multiplication and addition (where [^n] is the input parameter). +The implementation is iterative version of [@http://www.cs.utexas.edu/users/EWD/ewd06xx/EWD654.PDF Dijkstra's identities] and which simply walks down the bits of [^n]. + +[h4:binet Binet's Formula] + +There is a closed form expression for computing fibonacci numbers but since it suffers from imprecision issues (using floating point computation), it is not implemented. + +However an approximate formula is used for the overflow checking in the checked version. + +[endsect] [/Fibonacci Numbers] + [endsect] [/Number Series] [/ Copyright 2013, 2014 Nikhar Agrawal, Christopher Kormanyos, John Maddock, Paul A. Bristow. - Distributed under the Boost Software License, Version 1.0. + Copyright 2020 Madhur Chauhan. Distributed under the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt). ] diff --git a/example/Jamfile.v2 b/example/Jamfile.v2 index fb33e6cdfb..72834b5610 100644 --- a/example/Jamfile.v2 +++ b/example/Jamfile.v2 @@ -150,7 +150,7 @@ test-suite examples : [ run ooura_fourier_integrals_example.cpp : : : [ requires cxx11_hdr_mutex cxx11_lambdas cxx11_inline_namespaces cxx11_auto_declarations ] ] [ run ooura_fourier_integrals_cosine_example.cpp : : : [ requires cxx11_hdr_mutex cxx11_inline_namespaces cxx11_auto_declarations cxx17_std_apply ] ] [ run ooura_fourier_integrals_multiprecision_example.cpp : : : [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : -lquadmath ] [ requires cxx11_hdr_mutex cxx11_inline_namespaces cxx11_auto_declarations cxx17_std_apply ] ] - + [ run reciprocal_fibonacci_constant.cpp : : : [ check-target-builds ../config//has_mpfr "MPFR Support" : "-lmpfr -lgmp" : no ] ] ; run root_elliptic_finding.cpp /boost/timer : : : release static [ requires cxx11_unified_initialization_syntax cxx11_defaulted_functions ] freebsd:"-lrt" linux:"-lrt -lpthread" ; diff --git a/example/reciprocal_fibonacci_constant.cpp b/example/reciprocal_fibonacci_constant.cpp index 349625feed..7c6405c52b 100644 --- a/example/reciprocal_fibonacci_constant.cpp +++ b/example/reciprocal_fibonacci_constant.cpp @@ -8,6 +8,8 @@ // This is an example to calculate Reciprocal Fibonacci Constant (A079586 in the OEIS) // compile with flags: -std=c++11 -lmpfr +//[fibonacci_eg + #include #include #include @@ -25,3 +27,5 @@ int main() { std::cout << std::setprecision(1000) << "Reciprocal fibonacci constant after " << ITR << " iterations is: " << ans << std::endl; } + +//] diff --git a/include/boost/math/special_functions/fibonacci.hpp b/include/boost/math/special_functions/fibonacci.hpp index 09e86122ce..7aaf6dd854 100644 --- a/include/boost/math/special_functions/fibonacci.hpp +++ b/include/boost/math/special_functions/fibonacci.hpp @@ -21,14 +21,12 @@ namespace boost { namespace math { namespace detail { -// this should be constexpr in future -const double log_2 = std::log(2.0), - fib_bits_phi = std::log(boost::math::constants::phi()) / log_2, - fib_bits_deno = std::log(5.0) / 2.0 / log_2; + constexpr double fib_bits_phi = 0.69424191363061730173879026; + constexpr double fib_bits_deno = 1.1609640474436811739351597; } // namespace detail template -inline constexpr T unchecked_fibonacci(unsigned long long n) noexcept { +inline BOOST_CXX14_CONSTEXPR T unchecked_fibonacci(unsigned long long n) noexcept(std::is_fundamental::value) { // This function is called by the rest and computes the actual nth fibonacci number // First few fibonacci numbers: 0 (0th), 1 (1st), 1 (2nd), 2 (3rd), ... if (n <= 2) return n == 0 ? 0 : 1; @@ -52,7 +50,7 @@ inline constexpr T unchecked_fibonacci(unsigned long long n) noexcept { } template -T inline fibonacci(unsigned long long n, const Policy &pol) { +T inline BOOST_CXX14_CONSTEXPR fibonacci(unsigned long long n, const Policy &pol) { // check for overflow using approximation to binet's formula: F_n ~ phi^n / sqrt(5) if (n > 20 && n * detail::fib_bits_phi - detail::fib_bits_deno > std::numeric_limits::digits) return policies::raise_overflow_error("boost::math::fibonacci<%1%>(unsigned long long)", "Possible overflow detected.", pol); @@ -60,7 +58,7 @@ T inline fibonacci(unsigned long long n, const Policy &pol) { } template -T inline fibonacci(unsigned long long n) { +T inline BOOST_CXX14_CONSTEXPR fibonacci(unsigned long long n) { return fibonacci(n, policies::policy<>()); } @@ -69,7 +67,7 @@ template class fibonacci_generator { public: // return next fibonacci number - T operator()() noexcept { + T operator()() noexcept(std::is_fundamental::value) { T ret = a; a = b, b = b + ret; // could've simply: swap(a, b), b += a; return ret; @@ -77,7 +75,7 @@ class fibonacci_generator { // after set(nth), subsequent calls to the generator returns consecutive // fibonacci numbers starting with the nth fibonacci number - void set(unsigned long long nth) noexcept { + void set(unsigned long long nth) noexcept(std::is_fundamental::value) { n = nth; a = unchecked_fibonacci(n); b = unchecked_fibonacci(n + 1); diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index f6d2c4aea1..2b062bf158 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -495,7 +495,7 @@ test-suite special_fun : [ run test_trig.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ] [ run test_zeta.cpp ../../test/build//boost_unit_test_framework test_instances//test_instances pch_light ] [ run test_sinc.cpp ../../test/build//boost_unit_test_framework pch_light ] - [ run test_fibonacci.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] + [ run test_fibonacci.cpp ../../test/build//boost_unit_test_framework ] ; test-suite distribution_tests : diff --git a/test/test_fibonacci.cpp b/test/test_fibonacci.cpp index 429819a731..fb030c209c 100644 --- a/test/test_fibonacci.cpp +++ b/test/test_fibonacci.cpp @@ -94,13 +94,21 @@ BOOST_AUTO_TEST_CASE(generator_check) { } } +#ifndef BOOST_NO_CXX14_CONSTEXPR + BOOST_AUTO_TEST_CASE(constexpr_check) { constexpr int x = boost::math::unchecked_fibonacci(32); - BOOST_TEST(x == 2178309); + static_assert(x == 2178309); constexpr double y = boost::math::unchecked_fibonacci(40); - BOOST_TEST(y == 102334155.0); + static_assert(y == 102334155.0); + + constexpr int xx = boost::math::fibonacci(32); + static_assert(xx == 2178309); + + constexpr double yy = boost::math::fibonacci(40); + static_assert(yy == 102334155.0); - // checked fibonacci can't be constexpr because of non-constexpr - // dependency in detail::log_2, detail::fib_bits_phi, detail::fib_bits_deno } + +#endif From 63b5fe85acd19b898c041ba40b0c2837e0ec54c1 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Mon, 28 Jun 2021 19:39:21 +0100 Subject: [PATCH 05/21] Fix up static_asserts in test case. --- test/test_fibonacci.cpp | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/test/test_fibonacci.cpp b/test/test_fibonacci.cpp index fb030c209c..1a5120b240 100644 --- a/test/test_fibonacci.cpp +++ b/test/test_fibonacci.cpp @@ -98,16 +98,16 @@ BOOST_AUTO_TEST_CASE(generator_check) { BOOST_AUTO_TEST_CASE(constexpr_check) { constexpr int x = boost::math::unchecked_fibonacci(32); - static_assert(x == 2178309); + static_assert(x == 2178309, "constexpr check 1"); constexpr double y = boost::math::unchecked_fibonacci(40); - static_assert(y == 102334155.0); + static_assert(y == 102334155.0, "constexpr check 2"); constexpr int xx = boost::math::fibonacci(32); - static_assert(xx == 2178309); + static_assert(xx == 2178309, "constexpr check 3"); constexpr double yy = boost::math::fibonacci(40); - static_assert(yy == 102334155.0); + static_assert(yy == 102334155.0, "constexpr check 4"); } From 8fa1be8e5ecf4797ec7451799f85bb23656733f5 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Mon, 28 Jun 2021 19:51:30 +0100 Subject: [PATCH 06/21] Doc update: correct hypergeometric equation (again). 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.../weg/st_eg/tut_mean_intervals.html | 2 +- .../stat_tut/weg/st_eg/tut_mean_size.html | 2 +- .../stat_tut/weg/st_eg/tut_mean_test.html | 2 +- .../weg/st_eg/two_sample_students_t.html | 2 +- doc/html/math_toolkit/t_test.html | 2 +- doc/html/math_toolkit/threads.html | 2 +- doc/html/math_toolkit/tr1_ref.html | 2 +- doc/html/math_toolkit/tradoffs.html | 2 +- doc/html/math_toolkit/trans.html | 2 +- doc/html/math_toolkit/trapezoidal.html | 2 +- doc/html/math_toolkit/tuning.html | 2 +- doc/html/math_toolkit/tutorial.html | 2 +- doc/html/math_toolkit/tutorial/non_templ.html | 2 +- doc/html/math_toolkit/tutorial/templ.html | 2 +- doc/html/math_toolkit/tutorial/user_def.html | 2 +- doc/html/math_toolkit/ulps_plots.html | 2 +- .../math_toolkit/univariate_statistics.html | 2 +- doc/html/math_toolkit/value_op.html | 2 +- doc/html/math_toolkit/vector_barycentric.html | 2 +- doc/html/math_toolkit/wavelet_transforms.html | 2 +- doc/html/math_toolkit/whittaker_shannon.html | 2 +- doc/html/math_toolkit/z_test.html | 2 +- doc/html/math_toolkit/zetas.html | 2 +- doc/html/math_toolkit/zetas/zeta.html | 2 +- doc/html/octonions.html | 4 +- doc/html/overview.html | 7 +- doc/html/perf.html | 4 +- doc/html/policy.html | 4 +- doc/html/poly.html | 4 +- doc/html/quadrature.html | 4 +- doc/html/quaternions.html | 4 +- doc/html/root_finding.html | 4 +- doc/html/special.html | 4 +- doc/html/standalone_HTML.manifest | 1 + doc/html/statistics.html | 4 +- doc/html/status.html | 4 +- doc/html/using_udt.html | 4 +- doc/html/utils.html | 4 +- doc/html/vector_functionals.html | 4 +- doc/math.qbk | 3 +- doc/overview/standalone.qbk | 29 ++ 483 files changed, 792 insertions(+), 731 deletions(-) create mode 100644 doc/overview/standalone.qbk diff --git a/doc/distributions/hypergeometric.qbk b/doc/distributions/hypergeometric.qbk index 5780c788d5..b9c2181fa0 100644 --- a/doc/distributions/hypergeometric.qbk +++ b/doc/distributions/hypergeometric.qbk @@ -239,10 +239,9 @@ mean & = \frac{rn}{N} \\ mode & = \floor*{ \frac{(r+1)(n+1)}{N+2} }\\ variance & = \frac{r(\frac{n}{N})(1-\frac{n}{N})(N-r)}{(N-1)}\\ skewness & = \frac{(N-2n)\sqrt{(N-1)}(N-2r)}{\sqrt{rn(N-n)(N-r)}(N-2)}\\ -kertosis\:excess & = \frac{(N-1)N^2(N(N+1)-6r(N-r)-6n(N-n)+6nr(N-r)(N-n)(5N-6)}{nr(N-r)(N-n)(N-2)(N-3)} +kurtosis & = \frac{((N - 1) N^2 ((3 r (N - r) (n^2 (-N) + (n - 2) N^2 + 6 n (N - n)))/N^2 - 6 n (N - n) + N (N + 1)))}{(r n (N - 3) (N - 2) (N - r) (N - n))} \end{split} \end{equation*} - ] [equation hypergeometric6] diff --git a/doc/equations/hypergeometric6.svg b/doc/equations/hypergeometric6.svg index 8be5ec9e65..f20e28ffa5 100644 --- a/doc/equations/hypergeometric6.svg +++ b/doc/equations/hypergeometric6.svg @@ -1,5 +1,5 @@ - + @@ -45,10 +45,13 @@ - + - + + + + @@ -69,13 +72,10 @@ - + - - - - + @@ -102,583 +102,607 @@ - + + + + + + + + + + + + + + + + + + + + + + + + + + - + - + - + - + - + - + - - + - + - + - + - + - + - + - + - + + - + - + - + - + - + - + - + - + - - + - + - + - + - + - + - + - + + - + - + - + - + - + - + + - + - + - - + - + - + - + - + + - + - - + - + - + - + - + - + - + - - + - + - + - + - + - + - + - + - + - + - + - + - + + - + - + - + - + - + - + - + - + - - + - + - + + - + + - + - + - + - + - + - + - + - - + - - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + + - + - + - - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - \ No newline at end of file + diff --git a/doc/html/backgrounders.html b/doc/html/backgrounders.html index e763145c84..e0c8ba987c 100644 --- a/doc/html/backgrounders.html +++ b/doc/html/backgrounders.html @@ -4,8 +4,8 @@ Chapter 23. Backgrounders - - + + diff --git a/doc/html/constants.html b/doc/html/constants.html index 761952066d..9fa2066568 100644 --- a/doc/html/constants.html +++ b/doc/html/constants.html @@ -4,8 +4,8 @@ Chapter 4. Mathematical Constants - - + + diff --git a/doc/html/cstdfloat.html b/doc/html/cstdfloat.html index 0f1c0bbccf..da8771794f 100644 --- a/doc/html/cstdfloat.html +++ b/doc/html/cstdfloat.html @@ -4,8 +4,8 @@ Chapter 3. Specified-width floating-point typedefs - - + + diff --git a/doc/html/dist.html b/doc/html/dist.html index e781104d21..3190fd96a0 100644 --- a/doc/html/dist.html +++ b/doc/html/dist.html @@ -4,8 +4,8 @@ Chapter 5. Statistical Distributions and Functions - - + + diff --git a/doc/html/extern_c.html b/doc/html/extern_c.html index f8da01640e..22c3e6f5b0 100644 --- a/doc/html/extern_c.html +++ b/doc/html/extern_c.html @@ -4,8 +4,8 @@ Chapter 9. TR1 and C99 external "C" Functions - - + + diff --git a/doc/html/filters.html b/doc/html/filters.html index d3d6a95019..88afa7208f 100644 --- a/doc/html/filters.html +++ b/doc/html/filters.html @@ -4,8 +4,8 @@ Chapter 14. Filters - - + + diff --git a/doc/html/gcd_lcm.html b/doc/html/gcd_lcm.html index 5f58283b67..9c2b560f70 100644 --- a/doc/html/gcd_lcm.html +++ b/doc/html/gcd_lcm.html @@ -4,8 +4,8 @@ Chapter 18. Integer Utilities (Greatest Common Divisor and Least Common Multiple) - - + + diff --git a/doc/html/index.html b/doc/html/index.html index c46436556c..602f649c54 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -1,10 +1,10 @@ -Math Toolkit 3.0.0 +Math Toolkit 3.1.0 - + @@ -22,7 +22,7 @@

    -Math Toolkit 3.0.0

    +Math Toolkit 3.1.0

    Nikhar Agrawal @@ -134,7 +134,7 @@

    - +

    Last revised: June 27, 2021 at 18:26:02 GMT

    Last revised: June 28, 2021 at 18:44:06 GMT


    diff --git a/doc/html/indexes.html b/doc/html/indexes.html index e94da15fa8..67d3c3f174 100644 --- a/doc/html/indexes.html +++ b/doc/html/indexes.html @@ -4,8 +4,8 @@ Chapter 25. Indexes - - + + diff --git a/doc/html/indexes/s01.html b/doc/html/indexes/s01.html index 818036fcff..37d6416832 100644 --- a/doc/html/indexes/s01.html +++ b/doc/html/indexes/s01.html @@ -4,7 +4,7 @@ Function Index - + @@ -24,7 +24,7 @@

    -Function Index

    +Function Index

    1 2 4 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

    diff --git a/doc/html/indexes/s02.html b/doc/html/indexes/s02.html index e742846932..450fe78f2f 100644 --- a/doc/html/indexes/s02.html +++ b/doc/html/indexes/s02.html @@ -4,7 +4,7 @@ Class Index - + @@ -24,7 +24,7 @@

    -Class Index

    +Class Index

    A B C D E F G H I K L M N O P Q R S T U V W

    diff --git a/doc/html/indexes/s03.html b/doc/html/indexes/s03.html index cc4c2a8c5c..ae124f3844 100644 --- a/doc/html/indexes/s03.html +++ b/doc/html/indexes/s03.html @@ -4,7 +4,7 @@ Typedef Index - + @@ -24,7 +24,7 @@

    -Typedef Index

    +Typedef Index

    A B C D E F G H I K L N P R S T U V W

    diff --git a/doc/html/indexes/s04.html b/doc/html/indexes/s04.html index e60c7717cf..a519679c67 100644 --- a/doc/html/indexes/s04.html +++ b/doc/html/indexes/s04.html @@ -4,7 +4,7 @@ Macro Index - + @@ -24,7 +24,7 @@

    -Macro Index

    +Macro Index

    B F

    @@ -309,6 +309,7 @@ diff --git a/doc/html/indexes/s05.html b/doc/html/indexes/s05.html index 33bc41746c..b02f3f7121 100644 --- a/doc/html/indexes/s05.html +++ b/doc/html/indexes/s05.html @@ -4,7 +4,7 @@ Index - + @@ -23,7 +23,7 @@

    -Index

    +Index

    1 2 4 5 7 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

    @@ -1245,6 +1245,7 @@ @@ -8957,6 +8958,10 @@
  • +

    Standalone Usage

    + +
  • +
  • standard_deviation

    • Find Location (Mean) Example

    • diff --git a/doc/html/internals.html b/doc/html/internals.html index b5935d985b..5a19ba125d 100644 --- a/doc/html/internals.html +++ b/doc/html/internals.html @@ -4,8 +4,8 @@ Chapter 19. Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools - - + + diff --git a/doc/html/interpolation.html b/doc/html/interpolation.html index 6dc9bf242f..b818892ef1 100644 --- a/doc/html/interpolation.html +++ b/doc/html/interpolation.html @@ -4,8 +4,8 @@ Chapter 12. Interpolation - - + + diff --git a/doc/html/inverse_complex.html b/doc/html/inverse_complex.html index eac02969c5..5377b05a29 100644 --- a/doc/html/inverse_complex.html +++ b/doc/html/inverse_complex.html @@ -4,8 +4,8 @@ Chapter 15. Complex Number Functions - - + + diff --git a/doc/html/math_toolkit/acknowledgement.html b/doc/html/math_toolkit/acknowledgement.html index a0841619a5..d7274ff345 100644 --- a/doc/html/math_toolkit/acknowledgement.html +++ b/doc/html/math_toolkit/acknowledgement.html @@ -4,7 +4,7 @@ Acknowledgements - + diff --git a/doc/html/math_toolkit/acknowledgements.html b/doc/html/math_toolkit/acknowledgements.html index bab5b5706c..a25b1b2328 100644 --- a/doc/html/math_toolkit/acknowledgements.html +++ b/doc/html/math_toolkit/acknowledgements.html @@ -4,7 +4,7 @@ Acknowledgements - + diff --git a/doc/html/math_toolkit/acos.html b/doc/html/math_toolkit/acos.html index 9db0b94556..bed5f07546 100644 --- a/doc/html/math_toolkit/acos.html +++ b/doc/html/math_toolkit/acos.html @@ -4,7 +4,7 @@ acos - + diff --git a/doc/html/math_toolkit/acosh.html b/doc/html/math_toolkit/acosh.html index e8dbcd7cc0..1af08d7259 100644 --- a/doc/html/math_toolkit/acosh.html +++ b/doc/html/math_toolkit/acosh.html @@ -4,7 +4,7 @@ acosh - + diff --git a/doc/html/math_toolkit/airy.html b/doc/html/math_toolkit/airy.html index 681f9fa6f7..fd37ba7711 100644 --- a/doc/html/math_toolkit/airy.html +++ b/doc/html/math_toolkit/airy.html @@ -4,7 +4,7 @@ Airy Functions - + diff --git a/doc/html/math_toolkit/airy/ai.html b/doc/html/math_toolkit/airy/ai.html index ceaca7558a..7617a24152 100644 --- a/doc/html/math_toolkit/airy/ai.html +++ b/doc/html/math_toolkit/airy/ai.html @@ -4,7 +4,7 @@ Airy Ai Function - + diff --git a/doc/html/math_toolkit/airy/aip.html b/doc/html/math_toolkit/airy/aip.html index f28bf6d936..a822811f84 100644 --- a/doc/html/math_toolkit/airy/aip.html +++ b/doc/html/math_toolkit/airy/aip.html @@ -4,7 +4,7 @@ Airy Ai' Function - + diff --git a/doc/html/math_toolkit/airy/airy_root.html b/doc/html/math_toolkit/airy/airy_root.html index 527da36328..01a0a3d488 100644 --- a/doc/html/math_toolkit/airy/airy_root.html +++ b/doc/html/math_toolkit/airy/airy_root.html @@ -4,7 +4,7 @@ Finding Zeros of Airy Functions - + diff --git a/doc/html/math_toolkit/airy/bi.html b/doc/html/math_toolkit/airy/bi.html index c53e793367..59e9ab29cd 100644 --- a/doc/html/math_toolkit/airy/bi.html +++ b/doc/html/math_toolkit/airy/bi.html @@ -4,7 +4,7 @@ Airy Bi Function - + diff --git a/doc/html/math_toolkit/airy/bip.html b/doc/html/math_toolkit/airy/bip.html index 0590ea279c..7c83a6b666 100644 --- a/doc/html/math_toolkit/airy/bip.html +++ b/doc/html/math_toolkit/airy/bip.html @@ -4,7 +4,7 @@ Airy Bi' Function - + diff --git a/doc/html/math_toolkit/anderson_darling.html b/doc/html/math_toolkit/anderson_darling.html index 707e6727b9..6e92513e96 100644 --- a/doc/html/math_toolkit/anderson_darling.html +++ b/doc/html/math_toolkit/anderson_darling.html @@ -4,7 +4,7 @@ The Anderson-Darling Test - + diff --git a/doc/html/math_toolkit/archetypes.html b/doc/html/math_toolkit/archetypes.html index 809b31c8ad..7b38548349 100644 --- a/doc/html/math_toolkit/archetypes.html +++ b/doc/html/math_toolkit/archetypes.html @@ -4,7 +4,7 @@ Conceptual Archetypes for Reals and Distributions - + diff --git a/doc/html/math_toolkit/asin.html b/doc/html/math_toolkit/asin.html index d8b87881ad..2bc3eb8549 100644 --- a/doc/html/math_toolkit/asin.html +++ b/doc/html/math_toolkit/asin.html @@ -4,7 +4,7 @@ asin - + diff --git a/doc/html/math_toolkit/asinh.html b/doc/html/math_toolkit/asinh.html index fcdefc0dd9..5d48a7d700 100644 --- a/doc/html/math_toolkit/asinh.html +++ b/doc/html/math_toolkit/asinh.html @@ -4,7 +4,7 @@ asinh - + diff --git a/doc/html/math_toolkit/atan.html b/doc/html/math_toolkit/atan.html index 2bb85b1f6b..c6313efd61 100644 --- a/doc/html/math_toolkit/atan.html +++ b/doc/html/math_toolkit/atan.html @@ -4,7 +4,7 @@ atan - + diff --git a/doc/html/math_toolkit/atanh.html b/doc/html/math_toolkit/atanh.html index 684422d814..3ec16b9a8f 100644 --- a/doc/html/math_toolkit/atanh.html +++ b/doc/html/math_toolkit/atanh.html @@ -4,7 +4,7 @@ atanh - + diff --git a/doc/html/math_toolkit/autodiff.html b/doc/html/math_toolkit/autodiff.html index 4a5c24ca76..61b757e5eb 100644 --- a/doc/html/math_toolkit/autodiff.html +++ b/doc/html/math_toolkit/autodiff.html @@ -4,7 +4,7 @@ Automatic Differentiation - + diff --git a/doc/html/math_toolkit/bad_guess.html b/doc/html/math_toolkit/bad_guess.html index 79e2a0b0df..5c13163159 100644 --- a/doc/html/math_toolkit/bad_guess.html +++ b/doc/html/math_toolkit/bad_guess.html @@ -4,7 +4,7 @@ The Effect of a Poor Initial Guess - + diff --git a/doc/html/math_toolkit/bad_roots.html b/doc/html/math_toolkit/bad_roots.html index f9417521c9..d5c459476b 100644 --- a/doc/html/math_toolkit/bad_roots.html +++ b/doc/html/math_toolkit/bad_roots.html @@ -4,7 +4,7 @@ Examples Where Root Finding Goes Wrong - + diff --git a/doc/html/math_toolkit/barycentric.html b/doc/html/math_toolkit/barycentric.html index 8ac6e284fc..5620deffee 100644 --- a/doc/html/math_toolkit/barycentric.html +++ b/doc/html/math_toolkit/barycentric.html @@ -4,7 +4,7 @@ Barycentric Rational Interpolation - + diff --git a/doc/html/math_toolkit/bessel.html b/doc/html/math_toolkit/bessel.html index db297d06f4..2c99618fa0 100644 --- a/doc/html/math_toolkit/bessel.html +++ b/doc/html/math_toolkit/bessel.html @@ -4,7 +4,7 @@ Bessel Functions - + diff --git a/doc/html/math_toolkit/bessel/bessel_derivatives.html b/doc/html/math_toolkit/bessel/bessel_derivatives.html index ef7b15bb8a..58e5cafc1f 100644 --- a/doc/html/math_toolkit/bessel/bessel_derivatives.html +++ b/doc/html/math_toolkit/bessel/bessel_derivatives.html @@ -4,7 +4,7 @@ Derivatives of the Bessel Functions - + diff --git a/doc/html/math_toolkit/bessel/bessel_first.html b/doc/html/math_toolkit/bessel/bessel_first.html index 3319e4e817..e6d5e010b9 100644 --- a/doc/html/math_toolkit/bessel/bessel_first.html +++ b/doc/html/math_toolkit/bessel/bessel_first.html @@ -4,7 +4,7 @@ Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/bessel/bessel_over.html b/doc/html/math_toolkit/bessel/bessel_over.html index b731383be4..00f8c7b25e 100644 --- a/doc/html/math_toolkit/bessel/bessel_over.html +++ b/doc/html/math_toolkit/bessel/bessel_over.html @@ -4,7 +4,7 @@ Bessel Function Overview - + diff --git a/doc/html/math_toolkit/bessel/bessel_root.html b/doc/html/math_toolkit/bessel/bessel_root.html index 4f24924d50..cb2e011c6d 100644 --- a/doc/html/math_toolkit/bessel/bessel_root.html +++ b/doc/html/math_toolkit/bessel/bessel_root.html @@ -4,7 +4,7 @@ Finding Zeros of Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/bessel/mbessel.html b/doc/html/math_toolkit/bessel/mbessel.html index 93b994b0cc..14c7b1f81a 100644 --- a/doc/html/math_toolkit/bessel/mbessel.html +++ b/doc/html/math_toolkit/bessel/mbessel.html @@ -4,7 +4,7 @@ Modified Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/bessel/sph_bessel.html b/doc/html/math_toolkit/bessel/sph_bessel.html index a2dda60ddd..a1510fce22 100644 --- a/doc/html/math_toolkit/bessel/sph_bessel.html +++ b/doc/html/math_toolkit/bessel/sph_bessel.html @@ -4,7 +4,7 @@ Spherical Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/bilinear_uniform.html b/doc/html/math_toolkit/bilinear_uniform.html index 346b4f4284..21a0a71ddc 100644 --- a/doc/html/math_toolkit/bilinear_uniform.html +++ b/doc/html/math_toolkit/bilinear_uniform.html @@ -4,7 +4,7 @@ Bilinear Uniform Interpolation - + diff --git a/doc/html/math_toolkit/bivariate_statistics.html b/doc/html/math_toolkit/bivariate_statistics.html index 08ef45607a..16b8484bc4 100644 --- a/doc/html/math_toolkit/bivariate_statistics.html +++ b/doc/html/math_toolkit/bivariate_statistics.html @@ -4,7 +4,7 @@ Bivariate Statistics - + diff --git a/doc/html/math_toolkit/brent_minima.html b/doc/html/math_toolkit/brent_minima.html index 84ae621db4..b57510a81e 100644 --- a/doc/html/math_toolkit/brent_minima.html +++ b/doc/html/math_toolkit/brent_minima.html @@ -4,7 +4,7 @@ Locating Function Minima using Brent's algorithm - + diff --git a/doc/html/math_toolkit/building.html b/doc/html/math_toolkit/building.html index 28c23ca565..bb08803078 100644 --- a/doc/html/math_toolkit/building.html +++ b/doc/html/math_toolkit/building.html @@ -4,7 +4,7 @@ If and How to Build a Boost.Math Library, and its Examples and Tests - + diff --git a/doc/html/math_toolkit/c99.html b/doc/html/math_toolkit/c99.html index 621e783c53..0c23b29e64 100644 --- a/doc/html/math_toolkit/c99.html +++ b/doc/html/math_toolkit/c99.html @@ -4,7 +4,7 @@ C99 C Functions - + diff --git a/doc/html/math_toolkit/cardinal_cubic_b.html b/doc/html/math_toolkit/cardinal_cubic_b.html index b48c574e10..b5c8f0d66b 100644 --- a/doc/html/math_toolkit/cardinal_cubic_b.html +++ b/doc/html/math_toolkit/cardinal_cubic_b.html @@ -4,7 +4,7 @@ Cardinal Cubic B-spline interpolation - + diff --git a/doc/html/math_toolkit/cardinal_quadratic_b.html b/doc/html/math_toolkit/cardinal_quadratic_b.html index b11cc38fd6..7899fa8df8 100644 --- a/doc/html/math_toolkit/cardinal_quadratic_b.html +++ b/doc/html/math_toolkit/cardinal_quadratic_b.html @@ -4,7 +4,7 @@ Cardinal Quadratic B-spline interpolation - + diff --git a/doc/html/math_toolkit/cardinal_quintic_b.html b/doc/html/math_toolkit/cardinal_quintic_b.html index 2ad14640bf..088b220200 100644 --- a/doc/html/math_toolkit/cardinal_quintic_b.html +++ b/doc/html/math_toolkit/cardinal_quintic_b.html @@ -4,7 +4,7 @@ Cardinal Quintic B-spline interpolation - + diff --git a/doc/html/math_toolkit/cardinal_trigonometric.html b/doc/html/math_toolkit/cardinal_trigonometric.html index 90e7ea19b3..69aebbda2a 100644 --- a/doc/html/math_toolkit/cardinal_trigonometric.html +++ b/doc/html/math_toolkit/cardinal_trigonometric.html @@ -4,7 +4,7 @@ Cardinal Trigonometric interpolation - + diff --git a/doc/html/math_toolkit/catmull_rom.html b/doc/html/math_toolkit/catmull_rom.html index 6ac4a175a9..3899bd362c 100644 --- a/doc/html/math_toolkit/catmull_rom.html +++ b/doc/html/math_toolkit/catmull_rom.html @@ -4,7 +4,7 @@ Catmull-Rom Splines - + diff --git a/doc/html/math_toolkit/comp_compilers.html b/doc/html/math_toolkit/comp_compilers.html index 0f8548837c..7b4f998021 100644 --- a/doc/html/math_toolkit/comp_compilers.html +++ b/doc/html/math_toolkit/comp_compilers.html @@ -4,7 +4,7 @@ Comparing Different Compilers - + diff --git a/doc/html/math_toolkit/comparisons.html b/doc/html/math_toolkit/comparisons.html index 2aa7f48eae..3302b1f58b 100644 --- a/doc/html/math_toolkit/comparisons.html +++ b/doc/html/math_toolkit/comparisons.html @@ -4,7 +4,7 @@ Comparisons to Other Open Source Libraries - + diff --git a/doc/html/math_toolkit/compilers_overview.html b/doc/html/math_toolkit/compilers_overview.html index d5386017ad..a6af5f2dcf 100644 --- a/doc/html/math_toolkit/compilers_overview.html +++ b/doc/html/math_toolkit/compilers_overview.html @@ -4,7 +4,7 @@ Compilers - + diff --git a/doc/html/math_toolkit/complex_history.html b/doc/html/math_toolkit/complex_history.html index 8d5c26b780..a1eb9ab58f 100644 --- a/doc/html/math_toolkit/complex_history.html +++ b/doc/html/math_toolkit/complex_history.html @@ -4,7 +4,7 @@ History - + diff --git a/doc/html/math_toolkit/complex_implementation.html b/doc/html/math_toolkit/complex_implementation.html index 122b1682f3..39aea7d31e 100644 --- a/doc/html/math_toolkit/complex_implementation.html +++ b/doc/html/math_toolkit/complex_implementation.html @@ -4,7 +4,7 @@ Implementation and Accuracy - + diff --git a/doc/html/math_toolkit/cond.html b/doc/html/math_toolkit/cond.html index 2943058d4b..66a81c7f2a 100644 --- a/doc/html/math_toolkit/cond.html +++ b/doc/html/math_toolkit/cond.html @@ -4,7 +4,7 @@ Condition Numbers - + diff --git a/doc/html/math_toolkit/config_macros.html b/doc/html/math_toolkit/config_macros.html index 88f0132805..bad18f41be 100644 --- a/doc/html/math_toolkit/config_macros.html +++ b/doc/html/math_toolkit/config_macros.html @@ -4,7 +4,7 @@ Configuration Macros - + diff --git a/doc/html/math_toolkit/constants.html b/doc/html/math_toolkit/constants.html index fc7884debc..9b7944a8e0 100644 --- a/doc/html/math_toolkit/constants.html +++ b/doc/html/math_toolkit/constants.html @@ -4,7 +4,7 @@ The Mathematical Constants - + diff --git a/doc/html/math_toolkit/constants_faq.html b/doc/html/math_toolkit/constants_faq.html index d28033bec9..e4850651ed 100644 --- a/doc/html/math_toolkit/constants_faq.html +++ b/doc/html/math_toolkit/constants_faq.html @@ -4,7 +4,7 @@ Math Constants FAQs - + diff --git a/doc/html/math_toolkit/constants_intro.html b/doc/html/math_toolkit/constants_intro.html index 5f7681c7f8..e0c5138799 100644 --- a/doc/html/math_toolkit/constants_intro.html +++ b/doc/html/math_toolkit/constants_intro.html @@ -4,7 +4,7 @@ Introduction - + diff --git a/doc/html/math_toolkit/contact.html b/doc/html/math_toolkit/contact.html index ab52e9ef0f..6078111075 100644 --- a/doc/html/math_toolkit/contact.html +++ b/doc/html/math_toolkit/contact.html @@ -4,7 +4,7 @@ Contact Info and Support - + diff --git a/doc/html/math_toolkit/conventions.html b/doc/html/math_toolkit/conventions.html index f0d0f19433..828f5d36e5 100644 --- a/doc/html/math_toolkit/conventions.html +++ b/doc/html/math_toolkit/conventions.html @@ -4,7 +4,7 @@ Document Conventions - + @@ -27,7 +27,7 @@ Document Conventions

    - +

    This documentation aims to use of the following naming and formatting conventions. diff --git a/doc/html/math_toolkit/create.html b/doc/html/math_toolkit/create.html index 323fd8ab9c..ce1d22c003 100644 --- a/doc/html/math_toolkit/create.html +++ b/doc/html/math_toolkit/create.html @@ -4,7 +4,7 @@ Quaternion Creation Functions - + diff --git a/doc/html/math_toolkit/credits.html b/doc/html/math_toolkit/credits.html index 4930799cce..edcf1495df 100644 --- a/doc/html/math_toolkit/credits.html +++ b/doc/html/math_toolkit/credits.html @@ -4,7 +4,7 @@ Credits and Acknowledgements - + diff --git a/doc/html/math_toolkit/cubic_hermite.html b/doc/html/math_toolkit/cubic_hermite.html index 17e3eac7c4..a61ed8705b 100644 --- a/doc/html/math_toolkit/cubic_hermite.html +++ b/doc/html/math_toolkit/cubic_hermite.html @@ -4,7 +4,7 @@ Cubic Hermite interpolation - + diff --git a/doc/html/math_toolkit/daubechies.html b/doc/html/math_toolkit/daubechies.html index dd70268e93..3c6ba33ce3 100644 --- a/doc/html/math_toolkit/daubechies.html +++ b/doc/html/math_toolkit/daubechies.html @@ -4,7 +4,7 @@ Daubechies Wavelets and Scaling Functions - + diff --git a/doc/html/math_toolkit/daubechies_filters.html b/doc/html/math_toolkit/daubechies_filters.html index efcee342b4..bd87e1afa7 100644 --- a/doc/html/math_toolkit/daubechies_filters.html +++ b/doc/html/math_toolkit/daubechies_filters.html @@ -4,7 +4,7 @@ Daubechies Filters - + diff --git a/doc/html/math_toolkit/diff.html b/doc/html/math_toolkit/diff.html index ee8cfbbe8e..15aae35057 100644 --- a/doc/html/math_toolkit/diff.html +++ b/doc/html/math_toolkit/diff.html @@ -4,7 +4,7 @@ Numerical Differentiation - + diff --git a/doc/html/math_toolkit/diff0.html b/doc/html/math_toolkit/diff0.html index 9226592fe3..585679a3e1 100644 --- a/doc/html/math_toolkit/diff0.html +++ b/doc/html/math_toolkit/diff0.html @@ -4,7 +4,7 @@ Lanczos Smoothing Derivatives - + diff --git a/doc/html/math_toolkit/directories.html b/doc/html/math_toolkit/directories.html index 3181d9b176..6b903219e0 100644 --- a/doc/html/math_toolkit/directories.html +++ b/doc/html/math_toolkit/directories.html @@ -4,7 +4,7 @@ Directory and File Structure - + diff --git a/doc/html/math_toolkit/dist_concept.html b/doc/html/math_toolkit/dist_concept.html index 3196d9ea8c..dfbe070aac 100644 --- a/doc/html/math_toolkit/dist_concept.html +++ b/doc/html/math_toolkit/dist_concept.html @@ -4,7 +4,7 @@ Conceptual Requirements for Distribution Types - + diff --git a/doc/html/math_toolkit/dist_ref.html b/doc/html/math_toolkit/dist_ref.html index 9267067a3b..c0c45918ad 100644 --- a/doc/html/math_toolkit/dist_ref.html +++ b/doc/html/math_toolkit/dist_ref.html @@ -4,7 +4,7 @@ Statistical Distributions Reference - + diff --git a/doc/html/math_toolkit/dist_ref/dist_algorithms.html b/doc/html/math_toolkit/dist_ref/dist_algorithms.html index db9420de92..caa4895005 100644 --- a/doc/html/math_toolkit/dist_ref/dist_algorithms.html +++ b/doc/html/math_toolkit/dist_ref/dist_algorithms.html @@ -4,7 +4,7 @@ Distribution Algorithms - + diff --git a/doc/html/math_toolkit/dist_ref/dists.html b/doc/html/math_toolkit/dist_ref/dists.html index 221f456a7f..c3b36f00c8 100644 --- a/doc/html/math_toolkit/dist_ref/dists.html +++ b/doc/html/math_toolkit/dist_ref/dists.html @@ -4,7 +4,7 @@ Distributions - + diff --git a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html index 99772d258e..abf654a273 100644 --- a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html @@ -4,7 +4,7 @@ Arcsine Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html index 17b804d470..9d1fc3b479 100644 --- a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html @@ -4,7 +4,7 @@ Bernoulli Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html index d467895953..64f3815cb4 100644 --- a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html @@ -4,7 +4,7 @@ Beta Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html index 2604fbf63f..e7d86e834f 100644 --- a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html @@ -4,7 +4,7 @@ Binomial Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html index aab59d3ef0..58ac9fb9b6 100644 --- a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html @@ -4,7 +4,7 @@ Cauchy-Lorentz Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html index 64ab3c4ef6..f41a8418e0 100644 --- a/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html @@ -4,7 +4,7 @@ Chi Squared Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html b/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html index 90e41c79fc..194f422510 100644 --- a/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html +++ b/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html @@ -4,7 +4,7 @@ Empirical Cumulative Distribution Function - + diff --git a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html index 3c0f6b15da..df92fb561e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html @@ -4,7 +4,7 @@ Exponential Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html index 6cd84356bd..2b2d3ad69b 100644 --- a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html @@ -4,7 +4,7 @@ Extreme Value Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/f_dist.html b/doc/html/math_toolkit/dist_ref/dists/f_dist.html index c8f4f076d5..d00270401f 100644 --- a/doc/html/math_toolkit/dist_ref/dists/f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/f_dist.html @@ -4,7 +4,7 @@ F Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html index c9f91abe80..7be764e773 100644 --- a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html @@ -4,7 +4,7 @@ Gamma (and Erlang) Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html index 20095b1fba..0a44078ff9 100644 --- a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html @@ -4,7 +4,7 @@ Geometric Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html index 2fa1cd24f9..4f288aeceb 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html @@ -4,7 +4,7 @@ Hyperexponential Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html index f204bcf3b5..5ad0fc3dad 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html @@ -4,7 +4,7 @@ Hypergeometric Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html index 2849015546..5564581fa7 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html @@ -4,7 +4,7 @@ Inverse Chi Squared Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html index dde294419d..6c5db196c9 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html @@ -4,7 +4,7 @@ Inverse Gamma Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html index 3c18d0fcaf..e9428aed65 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html @@ -4,7 +4,7 @@ Inverse Gaussian (or Inverse Normal) Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html b/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html index ec98b593ee..8b16a8cf86 100644 --- a/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html @@ -4,7 +4,7 @@ Kolmogorov-Smirnov Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html index b4d0832915..bafeb6dbb5 100644 --- a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html @@ -4,7 +4,7 @@ Laplace Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html index 6fac702977..6dd5bfd833 100644 --- a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html @@ -4,7 +4,7 @@ Logistic Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html index 90cb27651a..01d19d7c98 100644 --- a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html @@ -4,7 +4,7 @@ Log Normal Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html index 76d2f12cfe..463282d072 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html @@ -4,7 +4,7 @@ Noncentral Beta Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html index ecb088c988..136461aa78 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html @@ -4,7 +4,7 @@ Noncentral Chi-Squared Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html index 807f175056..c759d82895 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html @@ -4,7 +4,7 @@ Noncentral F Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html index 7069f226fd..f9de6a8b6c 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html @@ -4,7 +4,7 @@ Noncentral T Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html b/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html index f7ebf926e3..5244c0a160 100644 --- a/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html @@ -4,7 +4,7 @@ Negative Binomial Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html index 9d3cd11e1e..a61e3d6890 100644 --- a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html @@ -4,7 +4,7 @@ Normal (Gaussian) Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/pareto.html b/doc/html/math_toolkit/dist_ref/dists/pareto.html index b23d4bff86..2b913b87b4 100644 --- a/doc/html/math_toolkit/dist_ref/dists/pareto.html +++ b/doc/html/math_toolkit/dist_ref/dists/pareto.html @@ -4,7 +4,7 @@ Pareto Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html index 61d82f7de4..2b019d9c05 100644 --- a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html @@ -4,7 +4,7 @@ Poisson Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html index f2654ebb7b..9bf74ce052 100644 --- a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html +++ b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html @@ -4,7 +4,7 @@ Rayleigh Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html b/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html index 06de829cc3..179d8ff774 100644 --- a/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html @@ -4,7 +4,7 @@ Skew Normal Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html b/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html index eaf547e49b..46428c8273 100644 --- a/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html @@ -4,7 +4,7 @@ Students t Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html index 91cbf62de3..7aeb40e23e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html @@ -4,7 +4,7 @@ Triangular Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html index 1e611cddc6..8fd4eab297 100644 --- a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html @@ -4,7 +4,7 @@ Uniform Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html index 8e507b4a1c..b5e64e979d 100644 --- a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html @@ -4,7 +4,7 @@ Weibull Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/nmp.html b/doc/html/math_toolkit/dist_ref/nmp.html index 7e18dc5535..af86193f1f 100644 --- a/doc/html/math_toolkit/dist_ref/nmp.html +++ b/doc/html/math_toolkit/dist_ref/nmp.html @@ -4,7 +4,7 @@ Non-Member Properties - + diff --git a/doc/html/math_toolkit/double_exponential.html b/doc/html/math_toolkit/double_exponential.html index 76e4f3051b..d7eec9ffe2 100644 --- a/doc/html/math_toolkit/double_exponential.html +++ b/doc/html/math_toolkit/double_exponential.html @@ -4,7 +4,7 @@ Double-exponential quadrature - + diff --git a/doc/html/math_toolkit/double_exponential/de_caveats.html b/doc/html/math_toolkit/double_exponential/de_caveats.html index 677fa49764..da847aad2c 100644 --- a/doc/html/math_toolkit/double_exponential/de_caveats.html +++ b/doc/html/math_toolkit/double_exponential/de_caveats.html @@ -4,7 +4,7 @@ Caveats - + diff --git a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html index 473d610855..eae51e32e7 100644 --- a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html @@ -4,7 +4,7 @@ exp_sinh - + diff --git a/doc/html/math_toolkit/double_exponential/de_levels.html b/doc/html/math_toolkit/double_exponential/de_levels.html index a63d1697a1..9eb0fb7162 100644 --- a/doc/html/math_toolkit/double_exponential/de_levels.html +++ b/doc/html/math_toolkit/double_exponential/de_levels.html @@ -4,7 +4,7 @@ Setting the Maximum Interval Halvings and Memory Requirements - + diff --git a/doc/html/math_toolkit/double_exponential/de_overview.html b/doc/html/math_toolkit/double_exponential/de_overview.html index c1c1f215a3..bff0ca8598 100644 --- a/doc/html/math_toolkit/double_exponential/de_overview.html +++ b/doc/html/math_toolkit/double_exponential/de_overview.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/double_exponential/de_refes.html b/doc/html/math_toolkit/double_exponential/de_refes.html index b4134573c9..14f7e9cafa 100644 --- a/doc/html/math_toolkit/double_exponential/de_refes.html +++ b/doc/html/math_toolkit/double_exponential/de_refes.html @@ -4,7 +4,7 @@ References - + diff --git a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html index b05a68b0ff..f11d433050 100644 --- a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html @@ -4,7 +4,7 @@ sinh_sinh - + diff --git a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html index 6a33f4e363..ab85bfd289 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html @@ -4,7 +4,7 @@ tanh_sinh - + diff --git a/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html b/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html index 76e622df68..3343cfc7b3 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html @@ -4,7 +4,7 @@ Handling functions with large features near an endpoint with tanh-sinh quadrature - + diff --git a/doc/html/math_toolkit/double_exponential/de_thread.html b/doc/html/math_toolkit/double_exponential/de_thread.html index 87eda685c7..78714bdf2a 100644 --- a/doc/html/math_toolkit/double_exponential/de_thread.html +++ b/doc/html/math_toolkit/double_exponential/de_thread.html @@ -4,7 +4,7 @@ Thread Safety - + diff --git a/doc/html/math_toolkit/double_exponential/de_tol.html b/doc/html/math_toolkit/double_exponential/de_tol.html index c6c8f589f2..b684e1dc4b 100644 --- a/doc/html/math_toolkit/double_exponential/de_tol.html +++ b/doc/html/math_toolkit/double_exponential/de_tol.html @@ -4,7 +4,7 @@ Setting the Termination Condition for Integration - + diff --git a/doc/html/math_toolkit/ellint.html b/doc/html/math_toolkit/ellint.html index b69a70e3bb..ada266c631 100644 --- a/doc/html/math_toolkit/ellint.html +++ b/doc/html/math_toolkit/ellint.html @@ -4,7 +4,7 @@ Elliptic Integrals - + diff --git a/doc/html/math_toolkit/ellint/ellint_1.html b/doc/html/math_toolkit/ellint/ellint_1.html index 0e2f36d9d1..47c1234ca1 100644 --- a/doc/html/math_toolkit/ellint/ellint_1.html +++ b/doc/html/math_toolkit/ellint/ellint_1.html @@ -4,7 +4,7 @@ Elliptic Integrals of the First Kind - Legendre Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_2.html b/doc/html/math_toolkit/ellint/ellint_2.html index 80c1b7c6ee..9923955def 100644 --- a/doc/html/math_toolkit/ellint/ellint_2.html +++ b/doc/html/math_toolkit/ellint/ellint_2.html @@ -4,7 +4,7 @@ Elliptic Integrals of the Second Kind - Legendre Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_3.html b/doc/html/math_toolkit/ellint/ellint_3.html index 7d2efa4604..f24d7b79cd 100644 --- a/doc/html/math_toolkit/ellint/ellint_3.html +++ b/doc/html/math_toolkit/ellint/ellint_3.html @@ -4,7 +4,7 @@ Elliptic Integrals of the Third Kind - Legendre Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_carlson.html b/doc/html/math_toolkit/ellint/ellint_carlson.html index ce98e2f80d..becb022f77 100644 --- a/doc/html/math_toolkit/ellint/ellint_carlson.html +++ b/doc/html/math_toolkit/ellint/ellint_carlson.html @@ -4,7 +4,7 @@ Elliptic Integrals - Carlson Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_d.html b/doc/html/math_toolkit/ellint/ellint_d.html index f24aba2fd6..785a07e078 100644 --- a/doc/html/math_toolkit/ellint/ellint_d.html +++ b/doc/html/math_toolkit/ellint/ellint_d.html @@ -4,7 +4,7 @@ Elliptic Integral D - Legendre Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_intro.html b/doc/html/math_toolkit/ellint/ellint_intro.html index 238f7eaaa9..b7f2e829e3 100644 --- a/doc/html/math_toolkit/ellint/ellint_intro.html +++ b/doc/html/math_toolkit/ellint/ellint_intro.html @@ -4,7 +4,7 @@ Elliptic Integral Overview - + diff --git a/doc/html/math_toolkit/ellint/heuman_lambda.html b/doc/html/math_toolkit/ellint/heuman_lambda.html index e4f375e9bb..ccf01c0460 100644 --- a/doc/html/math_toolkit/ellint/heuman_lambda.html +++ b/doc/html/math_toolkit/ellint/heuman_lambda.html @@ -4,7 +4,7 @@ Heuman Lambda Function - + diff --git a/doc/html/math_toolkit/ellint/jacobi_zeta.html b/doc/html/math_toolkit/ellint/jacobi_zeta.html index 8818432141..c1372f0826 100644 --- a/doc/html/math_toolkit/ellint/jacobi_zeta.html +++ b/doc/html/math_toolkit/ellint/jacobi_zeta.html @@ -4,7 +4,7 @@ Jacobi Zeta Function - + diff --git a/doc/html/math_toolkit/error_handling.html b/doc/html/math_toolkit/error_handling.html index facad00533..9034427e23 100644 --- a/doc/html/math_toolkit/error_handling.html +++ b/doc/html/math_toolkit/error_handling.html @@ -4,7 +4,7 @@ Error Handling - + diff --git a/doc/html/math_toolkit/exact_typdefs.html b/doc/html/math_toolkit/exact_typdefs.html index bfd3678874..db4c0a234b 100644 --- a/doc/html/math_toolkit/exact_typdefs.html +++ b/doc/html/math_toolkit/exact_typdefs.html @@ -4,7 +4,7 @@ Exact-Width Floating-Point typedefs - + diff --git a/doc/html/math_toolkit/examples.html b/doc/html/math_toolkit/examples.html index ba1a3311ae..4d4f50c996 100644 --- a/doc/html/math_toolkit/examples.html +++ b/doc/html/math_toolkit/examples.html @@ -4,7 +4,7 @@ Examples - + diff --git a/doc/html/math_toolkit/exp.html b/doc/html/math_toolkit/exp.html index e57a5dc042..50ae3b8beb 100644 --- a/doc/html/math_toolkit/exp.html +++ b/doc/html/math_toolkit/exp.html @@ -4,7 +4,7 @@ The Quaternionic Exponential - + diff --git a/doc/html/math_toolkit/expint.html b/doc/html/math_toolkit/expint.html index 05ed5e45b5..ab6939ca2b 100644 --- a/doc/html/math_toolkit/expint.html +++ b/doc/html/math_toolkit/expint.html @@ -4,7 +4,7 @@ Exponential Integrals - + diff --git a/doc/html/math_toolkit/expint/expint_i.html b/doc/html/math_toolkit/expint/expint_i.html index 35b60d5832..3852993721 100644 --- a/doc/html/math_toolkit/expint/expint_i.html +++ b/doc/html/math_toolkit/expint/expint_i.html @@ -4,7 +4,7 @@ Exponential Integral Ei - + diff --git a/doc/html/math_toolkit/expint/expint_n.html b/doc/html/math_toolkit/expint/expint_n.html index 431ff3cf07..8ef2899ebc 100644 --- a/doc/html/math_toolkit/expint/expint_n.html +++ b/doc/html/math_toolkit/expint/expint_n.html @@ -4,7 +4,7 @@ Exponential Integral En - + diff --git a/doc/html/math_toolkit/factorials.html b/doc/html/math_toolkit/factorials.html index a4c53c6f36..6287636f9e 100644 --- a/doc/html/math_toolkit/factorials.html +++ b/doc/html/math_toolkit/factorials.html @@ -4,7 +4,7 @@ Factorials and Binomial Coefficients - + diff --git a/doc/html/math_toolkit/factorials/sf_binomial.html b/doc/html/math_toolkit/factorials/sf_binomial.html index 18e91f1b92..4677212779 100644 --- a/doc/html/math_toolkit/factorials/sf_binomial.html +++ b/doc/html/math_toolkit/factorials/sf_binomial.html @@ -4,7 +4,7 @@ Binomial Coefficients - + diff --git a/doc/html/math_toolkit/factorials/sf_double_factorial.html b/doc/html/math_toolkit/factorials/sf_double_factorial.html index ebfe6075dc..d5ed8d6c28 100644 --- a/doc/html/math_toolkit/factorials/sf_double_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_double_factorial.html @@ -4,7 +4,7 @@ Double Factorial - + diff --git a/doc/html/math_toolkit/factorials/sf_factorial.html b/doc/html/math_toolkit/factorials/sf_factorial.html index 7bfcc54aa4..12b3c18406 100644 --- a/doc/html/math_toolkit/factorials/sf_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_factorial.html @@ -4,7 +4,7 @@ Factorial - + diff --git a/doc/html/math_toolkit/factorials/sf_falling_factorial.html b/doc/html/math_toolkit/factorials/sf_falling_factorial.html index cd96245d60..e5eb9f42bf 100644 --- a/doc/html/math_toolkit/factorials/sf_falling_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_falling_factorial.html @@ -4,7 +4,7 @@ Falling Factorial - + diff --git a/doc/html/math_toolkit/factorials/sf_rising_factorial.html b/doc/html/math_toolkit/factorials/sf_rising_factorial.html index 455705008f..d091946408 100644 --- a/doc/html/math_toolkit/factorials/sf_rising_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_rising_factorial.html @@ -4,7 +4,7 @@ Rising Factorial - + diff --git a/doc/html/math_toolkit/fastest_typdefs.html b/doc/html/math_toolkit/fastest_typdefs.html index 368ab817a0..5bda9abab0 100644 --- a/doc/html/math_toolkit/fastest_typdefs.html +++ b/doc/html/math_toolkit/fastest_typdefs.html @@ -4,7 +4,7 @@ Fastest floating-point typedefs - + diff --git a/doc/html/math_toolkit/float128.html b/doc/html/math_toolkit/float128.html index 33f5bf3bc0..f0d309e57b 100644 --- a/doc/html/math_toolkit/float128.html +++ b/doc/html/math_toolkit/float128.html @@ -4,7 +4,7 @@ Implementation of Float128 type - + diff --git a/doc/html/math_toolkit/float128/exp_function.html b/doc/html/math_toolkit/float128/exp_function.html index 6e5c5ca6c7..dd7a561dc1 100644 --- a/doc/html/math_toolkit/float128/exp_function.html +++ b/doc/html/math_toolkit/float128/exp_function.html @@ -4,7 +4,7 @@ Exponential function - + diff --git a/doc/html/math_toolkit/float128/overloading.html b/doc/html/math_toolkit/float128/overloading.html index 252ef8e0dc..6acf3996aa 100644 --- a/doc/html/math_toolkit/float128/overloading.html +++ b/doc/html/math_toolkit/float128/overloading.html @@ -4,7 +4,7 @@ Overloading template functions with float128_t - + diff --git a/doc/html/math_toolkit/float128/typeinfo.html b/doc/html/math_toolkit/float128/typeinfo.html index 0fc7d44fa4..38a78d8e3b 100644 --- a/doc/html/math_toolkit/float128/typeinfo.html +++ b/doc/html/math_toolkit/float128/typeinfo.html @@ -4,7 +4,7 @@ typeinfo - + diff --git a/doc/html/math_toolkit/float128_hints.html b/doc/html/math_toolkit/float128_hints.html index 5b429b2490..2c34cfb955 100644 --- a/doc/html/math_toolkit/float128_hints.html +++ b/doc/html/math_toolkit/float128_hints.html @@ -4,7 +4,7 @@ Hints on using float128 (and __float128) - + diff --git a/doc/html/math_toolkit/float_comparison.html b/doc/html/math_toolkit/float_comparison.html index 9570abb650..a99bf59dd5 100644 --- a/doc/html/math_toolkit/float_comparison.html +++ b/doc/html/math_toolkit/float_comparison.html @@ -4,7 +4,7 @@ Floating-point Comparison - + diff --git a/doc/html/math_toolkit/fourier_integrals.html b/doc/html/math_toolkit/fourier_integrals.html index b12f3a40bf..2ec376e0af 100644 --- a/doc/html/math_toolkit/fourier_integrals.html +++ b/doc/html/math_toolkit/fourier_integrals.html @@ -4,7 +4,7 @@ Fourier Integrals - + diff --git a/doc/html/math_toolkit/fp_facets.html b/doc/html/math_toolkit/fp_facets.html index 13a8f55ec1..85431ecaed 100644 --- a/doc/html/math_toolkit/fp_facets.html +++ b/doc/html/math_toolkit/fp_facets.html @@ -4,7 +4,7 @@ Facets for Floating-Point Infinities and NaNs - + diff --git a/doc/html/math_toolkit/fp_facets/examples.html b/doc/html/math_toolkit/fp_facets/examples.html index 2dcbb53e29..82e4adf50e 100644 --- a/doc/html/math_toolkit/fp_facets/examples.html +++ b/doc/html/math_toolkit/fp_facets/examples.html @@ -4,7 +4,7 @@ Examples - + diff --git a/doc/html/math_toolkit/fp_facets/facets_intro.html b/doc/html/math_toolkit/fp_facets/facets_intro.html index 6bfd391515..03864df1ee 100644 --- a/doc/html/math_toolkit/fp_facets/facets_intro.html +++ b/doc/html/math_toolkit/fp_facets/facets_intro.html @@ -4,7 +4,7 @@ Introduction - + diff --git a/doc/html/math_toolkit/fp_facets/portability.html b/doc/html/math_toolkit/fp_facets/portability.html index a539ffc84b..dee020dbaa 100644 --- a/doc/html/math_toolkit/fp_facets/portability.html +++ b/doc/html/math_toolkit/fp_facets/portability.html @@ -4,7 +4,7 @@ Portability - + diff --git a/doc/html/math_toolkit/fp_facets/rationale.html b/doc/html/math_toolkit/fp_facets/rationale.html index b332dd489f..9d534950f3 100644 --- a/doc/html/math_toolkit/fp_facets/rationale.html +++ b/doc/html/math_toolkit/fp_facets/rationale.html @@ -4,7 +4,7 @@ Design Rationale - + diff --git a/doc/html/math_toolkit/fp_facets/reference.html b/doc/html/math_toolkit/fp_facets/reference.html index 877dc3c28e..124c202b47 100644 --- a/doc/html/math_toolkit/fp_facets/reference.html +++ b/doc/html/math_toolkit/fp_facets/reference.html @@ -4,7 +4,7 @@ Reference - + diff --git a/doc/html/math_toolkit/fpclass.html b/doc/html/math_toolkit/fpclass.html index d8912e0009..78c7ae9531 100644 --- a/doc/html/math_toolkit/fpclass.html +++ b/doc/html/math_toolkit/fpclass.html @@ -4,7 +4,7 @@ Floating-Point Classification: Infinities and NaNs - + diff --git a/doc/html/math_toolkit/future.html b/doc/html/math_toolkit/future.html index 1ee7680ba5..dec18d0341 100644 --- a/doc/html/math_toolkit/future.html +++ b/doc/html/math_toolkit/future.html @@ -4,7 +4,7 @@ Extras/Future Directions - + diff --git a/doc/html/math_toolkit/gauss.html b/doc/html/math_toolkit/gauss.html index 18b0bc5bb8..223f061b43 100644 --- a/doc/html/math_toolkit/gauss.html +++ b/doc/html/math_toolkit/gauss.html @@ -4,7 +4,7 @@ Gauss-Legendre quadrature - + diff --git a/doc/html/math_toolkit/gauss_kronrod.html b/doc/html/math_toolkit/gauss_kronrod.html index cdaddd51df..e37f3e677c 100644 --- a/doc/html/math_toolkit/gauss_kronrod.html +++ b/doc/html/math_toolkit/gauss_kronrod.html @@ -4,7 +4,7 @@ Gauss-Kronrod Quadrature - + diff --git a/doc/html/math_toolkit/getting_best.html b/doc/html/math_toolkit/getting_best.html index ee82c64f69..bfde476e47 100644 --- a/doc/html/math_toolkit/getting_best.html +++ b/doc/html/math_toolkit/getting_best.html @@ -4,7 +4,7 @@ Getting the Best Performance from this Library: Compiler and Compiler Options - + diff --git a/doc/html/math_toolkit/greatest_typdefs.html b/doc/html/math_toolkit/greatest_typdefs.html index 0e45351c7c..ddc295afb2 100644 --- a/doc/html/math_toolkit/greatest_typdefs.html +++ b/doc/html/math_toolkit/greatest_typdefs.html @@ -4,7 +4,7 @@ Greatest-width floating-point typedef - + diff --git a/doc/html/math_toolkit/hankel.html b/doc/html/math_toolkit/hankel.html index f5903a232a..4ef67cef3f 100644 --- a/doc/html/math_toolkit/hankel.html +++ b/doc/html/math_toolkit/hankel.html @@ -4,7 +4,7 @@ Hankel Functions - + diff --git a/doc/html/math_toolkit/hankel/cyl_hankel.html b/doc/html/math_toolkit/hankel/cyl_hankel.html index 1c01518f27..317db40d6c 100644 --- a/doc/html/math_toolkit/hankel/cyl_hankel.html +++ b/doc/html/math_toolkit/hankel/cyl_hankel.html @@ -4,7 +4,7 @@ Cyclic Hankel Functions - + diff --git a/doc/html/math_toolkit/hankel/sph_hankel.html b/doc/html/math_toolkit/hankel/sph_hankel.html index 153c5988c2..fd863fed52 100644 --- a/doc/html/math_toolkit/hankel/sph_hankel.html +++ b/doc/html/math_toolkit/hankel/sph_hankel.html @@ -4,7 +4,7 @@ Spherical Hankel Functions - + diff --git a/doc/html/math_toolkit/high_precision.html b/doc/html/math_toolkit/high_precision.html index fbd76684ea..fa241f7637 100644 --- a/doc/html/math_toolkit/high_precision.html +++ b/doc/html/math_toolkit/high_precision.html @@ -4,7 +4,7 @@ Using Boost.Math with High-Precision Floating-Point Libraries - + diff --git a/doc/html/math_toolkit/high_precision/e_float.html b/doc/html/math_toolkit/high_precision/e_float.html index 8f5d848f02..badcf84c1c 100644 --- a/doc/html/math_toolkit/high_precision/e_float.html +++ b/doc/html/math_toolkit/high_precision/e_float.html @@ -4,7 +4,7 @@ Using e_float Library - + diff --git a/doc/html/math_toolkit/high_precision/float128.html b/doc/html/math_toolkit/high_precision/float128.html index 127ca8f719..b168cfc66b 100644 --- a/doc/html/math_toolkit/high_precision/float128.html +++ b/doc/html/math_toolkit/high_precision/float128.html @@ -4,7 +4,7 @@ Using with GCC's __float128 datatype - + diff --git a/doc/html/math_toolkit/high_precision/use_mpfr.html b/doc/html/math_toolkit/high_precision/use_mpfr.html index 95b71c40e8..da8865384e 100644 --- a/doc/html/math_toolkit/high_precision/use_mpfr.html +++ b/doc/html/math_toolkit/high_precision/use_mpfr.html @@ -4,7 +4,7 @@ Using With MPFR or GMP - High-Precision Floating-Point Library - + diff --git a/doc/html/math_toolkit/high_precision/use_multiprecision.html b/doc/html/math_toolkit/high_precision/use_multiprecision.html index 3e0838417b..8e1c5ce00e 100644 --- a/doc/html/math_toolkit/high_precision/use_multiprecision.html +++ b/doc/html/math_toolkit/high_precision/use_multiprecision.html @@ -4,7 +4,7 @@ Using Boost.Multiprecision - + diff --git a/doc/html/math_toolkit/high_precision/use_ntl.html b/doc/html/math_toolkit/high_precision/use_ntl.html index 0506ac509d..b63d023653 100644 --- a/doc/html/math_toolkit/high_precision/use_ntl.html +++ b/doc/html/math_toolkit/high_precision/use_ntl.html @@ -4,7 +4,7 @@ Using NTL Library - + diff --git a/doc/html/math_toolkit/high_precision/using_test.html b/doc/html/math_toolkit/high_precision/using_test.html index 582944fc9f..82ae97bf55 100644 --- a/doc/html/math_toolkit/high_precision/using_test.html +++ b/doc/html/math_toolkit/high_precision/using_test.html @@ -4,7 +4,7 @@ Using without expression templates for Boost.Test and others - + diff --git a/doc/html/math_toolkit/high_precision/why_high_precision.html b/doc/html/math_toolkit/high_precision/why_high_precision.html index 5e1c5cae58..a1999386dd 100644 --- a/doc/html/math_toolkit/high_precision/why_high_precision.html +++ b/doc/html/math_toolkit/high_precision/why_high_precision.html @@ -4,7 +4,7 @@ Why use a high-precision library rather than built-in floating-point types? - + diff --git a/doc/html/math_toolkit/hints.html b/doc/html/math_toolkit/hints.html index 55a103b3fa..669c87a588 100644 --- a/doc/html/math_toolkit/hints.html +++ b/doc/html/math_toolkit/hints.html @@ -4,7 +4,7 @@ Other Hints and tips - + diff --git a/doc/html/math_toolkit/history1.html b/doc/html/math_toolkit/history1.html index 3ff59e77c4..332e953dcd 100644 --- a/doc/html/math_toolkit/history1.html +++ b/doc/html/math_toolkit/history1.html @@ -4,7 +4,7 @@ History and What's New - + diff --git a/doc/html/math_toolkit/history2.html b/doc/html/math_toolkit/history2.html index d62d163178..f3e670913b 100644 --- a/doc/html/math_toolkit/history2.html +++ b/doc/html/math_toolkit/history2.html @@ -4,7 +4,7 @@ History and What's New - + diff --git a/doc/html/math_toolkit/hypergeometric.html b/doc/html/math_toolkit/hypergeometric.html index 1b7f84c679..afe09a9207 100644 --- a/doc/html/math_toolkit/hypergeometric.html +++ b/doc/html/math_toolkit/hypergeometric.html @@ -4,7 +4,7 @@ Hypergeometric Functions - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html index 34c6b23c0d..663a9033e5 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html @@ -4,7 +4,7 @@ Hypergeometric 0F1 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html index 2fd484cc88..4f46efa056 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html @@ -4,7 +4,7 @@ Hypergeometric 1F0 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html index 15fcba1c92..53948ef8a9 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html @@ -4,7 +4,7 @@ Hypergeometric 1F1 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html index 1b3aeb0ac8..ee5f076b17 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html @@ -4,7 +4,7 @@ Hypergeometric 2F0 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html index 48b792b54a..7959307d35 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html @@ -4,7 +4,7 @@ Hypergeometric pFq - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html index 621465cc2f..d0905865a2 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html @@ -4,7 +4,7 @@ Hypergeometric References - + diff --git a/doc/html/math_toolkit/internals.html b/doc/html/math_toolkit/internals.html index 2ca76d4f39..1baa96df68 100644 --- a/doc/html/math_toolkit/internals.html +++ b/doc/html/math_toolkit/internals.html @@ -4,7 +4,7 @@ Internal tools - + diff --git a/doc/html/math_toolkit/internals/agm.html b/doc/html/math_toolkit/internals/agm.html index 5827e57202..1f697f6d68 100644 --- a/doc/html/math_toolkit/internals/agm.html +++ b/doc/html/math_toolkit/internals/agm.html @@ -4,7 +4,7 @@ Arithmetic-Geometric Mean - + diff --git a/doc/html/math_toolkit/internals/centered_continued_fraction.html b/doc/html/math_toolkit/internals/centered_continued_fraction.html index de808b95af..696bed8c5a 100644 --- a/doc/html/math_toolkit/internals/centered_continued_fraction.html +++ b/doc/html/math_toolkit/internals/centered_continued_fraction.html @@ -4,7 +4,7 @@ Centered Continued Fractions - + diff --git a/doc/html/math_toolkit/internals/cf.html b/doc/html/math_toolkit/internals/cf.html index 5b84395c32..9971df0cc4 100644 --- a/doc/html/math_toolkit/internals/cf.html +++ b/doc/html/math_toolkit/internals/cf.html @@ -4,7 +4,7 @@ Continued Fraction Evaluation - + diff --git a/doc/html/math_toolkit/internals/cohen_acceleration.html b/doc/html/math_toolkit/internals/cohen_acceleration.html index 39d5224176..cbbee13ae8 100644 --- a/doc/html/math_toolkit/internals/cohen_acceleration.html +++ b/doc/html/math_toolkit/internals/cohen_acceleration.html @@ -4,7 +4,7 @@ Cohen Acceleration - + diff --git a/doc/html/math_toolkit/internals/engel_expansion.html b/doc/html/math_toolkit/internals/engel_expansion.html index 919e915bc1..3eb42f699d 100644 --- a/doc/html/math_toolkit/internals/engel_expansion.html +++ b/doc/html/math_toolkit/internals/engel_expansion.html @@ -4,7 +4,7 @@ Engel Expansion - + diff --git a/doc/html/math_toolkit/internals/error_test.html b/doc/html/math_toolkit/internals/error_test.html index 7e9f718ebb..beb856548f 100644 --- a/doc/html/math_toolkit/internals/error_test.html +++ b/doc/html/math_toolkit/internals/error_test.html @@ -4,7 +4,7 @@ Relative Error and Testing - + diff --git a/doc/html/math_toolkit/internals/luroth_expansion.html b/doc/html/math_toolkit/internals/luroth_expansion.html index 45381dd140..77b26c8b5b 100644 --- a/doc/html/math_toolkit/internals/luroth_expansion.html +++ b/doc/html/math_toolkit/internals/luroth_expansion.html @@ -4,7 +4,7 @@ Luroth Expansions - + diff --git a/doc/html/math_toolkit/internals/minimax.html b/doc/html/math_toolkit/internals/minimax.html index 7d84e201c4..1c2b11573e 100644 --- a/doc/html/math_toolkit/internals/minimax.html +++ b/doc/html/math_toolkit/internals/minimax.html @@ -4,7 +4,7 @@ Minimax Approximations and the Remez Algorithm - + diff --git a/doc/html/math_toolkit/internals/recurrence.html b/doc/html/math_toolkit/internals/recurrence.html index aaf3cac864..0558b61044 100644 --- a/doc/html/math_toolkit/internals/recurrence.html +++ b/doc/html/math_toolkit/internals/recurrence.html @@ -4,7 +4,7 @@ Tools For 3-Term Recurrence Relations - + diff --git a/doc/html/math_toolkit/internals/series_evaluation.html b/doc/html/math_toolkit/internals/series_evaluation.html index 444b3bea78..a9bc23f678 100644 --- a/doc/html/math_toolkit/internals/series_evaluation.html +++ b/doc/html/math_toolkit/internals/series_evaluation.html @@ -4,7 +4,7 @@ Series Evaluation - + diff --git a/doc/html/math_toolkit/internals/simple_continued_fraction.html b/doc/html/math_toolkit/internals/simple_continued_fraction.html index 4c583354af..f64250347b 100644 --- a/doc/html/math_toolkit/internals/simple_continued_fraction.html +++ b/doc/html/math_toolkit/internals/simple_continued_fraction.html @@ -4,7 +4,7 @@ Simple Continued Fractions - + diff --git a/doc/html/math_toolkit/internals/test_data.html b/doc/html/math_toolkit/internals/test_data.html index 0683c2ea14..800f99ef26 100644 --- a/doc/html/math_toolkit/internals/test_data.html +++ b/doc/html/math_toolkit/internals/test_data.html @@ -4,7 +4,7 @@ Graphing, Profiling, and Generating Test Data for Special Functions - + diff --git a/doc/html/math_toolkit/internals/tuples.html b/doc/html/math_toolkit/internals/tuples.html index efd076cbc0..23b81f80ad 100644 --- a/doc/html/math_toolkit/internals/tuples.html +++ b/doc/html/math_toolkit/internals/tuples.html @@ -4,7 +4,7 @@ Tuples - + diff --git a/doc/html/math_toolkit/internals_overview.html b/doc/html/math_toolkit/internals_overview.html index 20237a9adc..3f353dc6b9 100644 --- a/doc/html/math_toolkit/internals_overview.html +++ b/doc/html/math_toolkit/internals_overview.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/interp.html b/doc/html/math_toolkit/interp.html index 1415f3e49e..ded5ed7b57 100644 --- a/doc/html/math_toolkit/interp.html +++ b/doc/html/math_toolkit/interp.html @@ -4,7 +4,7 @@ Interpreting these Results - + diff --git a/doc/html/math_toolkit/intro_pol_overview.html b/doc/html/math_toolkit/intro_pol_overview.html index 2b98ca1775..94a43f61a6 100644 --- a/doc/html/math_toolkit/intro_pol_overview.html +++ b/doc/html/math_toolkit/intro_pol_overview.html @@ -4,7 +4,7 @@ Policies - + diff --git a/doc/html/math_toolkit/inv_hyper.html b/doc/html/math_toolkit/inv_hyper.html index 948e7ee0bb..d91cfa9d8e 100644 --- a/doc/html/math_toolkit/inv_hyper.html +++ b/doc/html/math_toolkit/inv_hyper.html @@ -4,7 +4,7 @@ Inverse Hyperbolic Functions - + diff --git a/doc/html/math_toolkit/inv_hyper/acosh.html b/doc/html/math_toolkit/inv_hyper/acosh.html index 2f694f95f3..7e888aff42 100644 --- a/doc/html/math_toolkit/inv_hyper/acosh.html +++ b/doc/html/math_toolkit/inv_hyper/acosh.html @@ -4,7 +4,7 @@ acosh - + diff --git a/doc/html/math_toolkit/inv_hyper/asinh.html b/doc/html/math_toolkit/inv_hyper/asinh.html index 2305ace7ba..3ad5ae6fa1 100644 --- a/doc/html/math_toolkit/inv_hyper/asinh.html +++ b/doc/html/math_toolkit/inv_hyper/asinh.html @@ -4,7 +4,7 @@ asinh - + diff --git a/doc/html/math_toolkit/inv_hyper/atanh.html b/doc/html/math_toolkit/inv_hyper/atanh.html index 2e8f23a2f8..0494c15750 100644 --- a/doc/html/math_toolkit/inv_hyper/atanh.html +++ b/doc/html/math_toolkit/inv_hyper/atanh.html @@ -4,7 +4,7 @@ atanh - + diff --git a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html index 383fb1ee22..38ce41c381 100644 --- a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html +++ b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html @@ -4,7 +4,7 @@ Inverse Hyperbolic Functions Overview - + diff --git a/doc/html/math_toolkit/issues.html b/doc/html/math_toolkit/issues.html index 819a547a2c..0bcfca511c 100644 --- a/doc/html/math_toolkit/issues.html +++ b/doc/html/math_toolkit/issues.html @@ -4,7 +4,7 @@ Known Issues, and TODO List - + diff --git a/doc/html/math_toolkit/jacobi.html b/doc/html/math_toolkit/jacobi.html index 2d83af0a91..36e0da92a6 100644 --- a/doc/html/math_toolkit/jacobi.html +++ b/doc/html/math_toolkit/jacobi.html @@ -4,7 +4,7 @@ Jacobi Elliptic Functions - + diff --git a/doc/html/math_toolkit/jacobi/jac_over.html b/doc/html/math_toolkit/jacobi/jac_over.html index 7ef978789c..9b5faec28f 100644 --- a/doc/html/math_toolkit/jacobi/jac_over.html +++ b/doc/html/math_toolkit/jacobi/jac_over.html @@ -4,7 +4,7 @@ Overview of the Jacobi Elliptic Functions - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cd.html b/doc/html/math_toolkit/jacobi/jacobi_cd.html index b97de98f71..81869abb7f 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cd.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function cd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cn.html b/doc/html/math_toolkit/jacobi/jacobi_cn.html index d6dd37a29c..93112ed687 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cn.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function cn - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cs.html b/doc/html/math_toolkit/jacobi/jacobi_cs.html index 181a84e1da..8929f6e31e 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cs.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cs.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function cs - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_dc.html b/doc/html/math_toolkit/jacobi/jacobi_dc.html index adaa874f10..5158c83717 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dc.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function dc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_dn.html b/doc/html/math_toolkit/jacobi/jacobi_dn.html index 3bc4afbbdf..21f7c50abe 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dn.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function dn - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_ds.html b/doc/html/math_toolkit/jacobi/jacobi_ds.html index 05367d3bc6..2176932285 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ds.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ds.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function ds - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html index 6f15c63a14..2ca08f1007 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html +++ b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html @@ -4,7 +4,7 @@ Jacobi Elliptic SN, CN and DN - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_nc.html b/doc/html/math_toolkit/jacobi/jacobi_nc.html index 28ff267fc7..64bddb330c 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nc.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function nc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_nd.html b/doc/html/math_toolkit/jacobi/jacobi_nd.html index 984c4fd7e5..c0d2e0d615 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nd.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function nd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_ns.html b/doc/html/math_toolkit/jacobi/jacobi_ns.html index c2e4e80d8a..3fa6476b55 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ns.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ns.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function ns - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sc.html b/doc/html/math_toolkit/jacobi/jacobi_sc.html index b9b2bc536f..8638289058 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sc.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function sc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sd.html b/doc/html/math_toolkit/jacobi/jacobi_sd.html index fd47eb4395..df00bda906 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sd.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function sd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sn.html b/doc/html/math_toolkit/jacobi/jacobi_sn.html index 0c414b79dd..fd51d560d0 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sn.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function sn - + diff --git a/doc/html/math_toolkit/jacobi_theta.html b/doc/html/math_toolkit/jacobi_theta.html index 0734573e15..85d67641d6 100644 --- a/doc/html/math_toolkit/jacobi_theta.html +++ b/doc/html/math_toolkit/jacobi_theta.html @@ -4,7 +4,7 @@ Jacobi Theta Functions - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html index dcdcc1039a..960c30c777 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html @@ -4,7 +4,7 @@ Jacobi Theta Function θ1 - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html index 5fb211ab47..951822ea8e 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html @@ -4,7 +4,7 @@ Jacobi Theta Function θ2 - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html index f9d789ed22..c3f6d45f8b 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html @@ -4,7 +4,7 @@ Jacobi Theta Function θ3 - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html index a102705393..587f5fdb84 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html @@ -4,7 +4,7 @@ Jacobi Theta Function θ4 - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html index 4427f36f07..d7b8bafe23 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html @@ -4,7 +4,7 @@ Overview of the Jacobi Theta Functions - + diff --git a/doc/html/math_toolkit/lambert_w.html b/doc/html/math_toolkit/lambert_w.html index 1ea59c6c1e..5f2303d9d7 100644 --- a/doc/html/math_toolkit/lambert_w.html +++ b/doc/html/math_toolkit/lambert_w.html @@ -4,7 +4,7 @@ Lambert W function - + diff --git a/doc/html/math_toolkit/lanczos.html b/doc/html/math_toolkit/lanczos.html index c60b5ce7f1..2c37087a3d 100644 --- a/doc/html/math_toolkit/lanczos.html +++ b/doc/html/math_toolkit/lanczos.html @@ -4,7 +4,7 @@ The Lanczos Approximation - + diff --git a/doc/html/math_toolkit/linear_regression.html b/doc/html/math_toolkit/linear_regression.html index e8420d077d..0bbf152162 100644 --- a/doc/html/math_toolkit/linear_regression.html +++ b/doc/html/math_toolkit/linear_regression.html @@ -4,7 +4,7 @@ Linear Regression - + diff --git a/doc/html/math_toolkit/ljung_box.html b/doc/html/math_toolkit/ljung_box.html index 84294dfbf2..67c134ab7e 100644 --- a/doc/html/math_toolkit/ljung_box.html +++ b/doc/html/math_toolkit/ljung_box.html @@ -4,7 +4,7 @@ The Ljung-Box Test - + diff --git a/doc/html/math_toolkit/logs_and_tables.html b/doc/html/math_toolkit/logs_and_tables.html index 6e286b2415..596b9a4d41 100644 --- a/doc/html/math_toolkit/logs_and_tables.html +++ b/doc/html/math_toolkit/logs_and_tables.html @@ -4,7 +4,7 @@ Error logs and tables - + diff --git a/doc/html/math_toolkit/logs_and_tables/all_table.html b/doc/html/math_toolkit/logs_and_tables/all_table.html index dc7c96688e..2a2f94e7d5 100644 --- a/doc/html/math_toolkit/logs_and_tables/all_table.html +++ b/doc/html/math_toolkit/logs_and_tables/all_table.html @@ -4,7 +4,7 @@ Tables of Error Rates for all Functions - + diff --git a/doc/html/math_toolkit/logs_and_tables/logs.html b/doc/html/math_toolkit/logs_and_tables/logs.html index fb19914191..0a9629e0a0 100644 --- a/doc/html/math_toolkit/logs_and_tables/logs.html +++ b/doc/html/math_toolkit/logs_and_tables/logs.html @@ -4,7 +4,7 @@ Error Logs For Error Rate Tables - + diff --git a/doc/html/math_toolkit/macros.html b/doc/html/math_toolkit/macros.html index ace70bd995..2cd12a9dfb 100644 --- a/doc/html/math_toolkit/macros.html +++ b/doc/html/math_toolkit/macros.html @@ -4,7 +4,7 @@ Floating-Point Constant Macros - + diff --git a/doc/html/math_toolkit/main_faq.html b/doc/html/math_toolkit/main_faq.html index 85d0dff7fd..a7434c5960 100644 --- a/doc/html/math_toolkit/main_faq.html +++ b/doc/html/math_toolkit/main_faq.html @@ -4,7 +4,7 @@ Boost.Math Frequently Asked Questions (FAQs) - + diff --git a/doc/html/math_toolkit/main_intro.html b/doc/html/math_toolkit/main_intro.html index e7fa08bd90..a77880d535 100644 --- a/doc/html/math_toolkit/main_intro.html +++ b/doc/html/math_toolkit/main_intro.html @@ -4,7 +4,7 @@ About the Math Toolkit - + diff --git a/doc/html/math_toolkit/main_tr1.html b/doc/html/math_toolkit/main_tr1.html index 8a6767f8de..6c60eb35cd 100644 --- a/doc/html/math_toolkit/main_tr1.html +++ b/doc/html/math_toolkit/main_tr1.html @@ -4,7 +4,7 @@ C99 and TR1 C Functions Overview - + diff --git a/doc/html/math_toolkit/makima.html b/doc/html/math_toolkit/makima.html index 9d140ae1e8..4aff13e066 100644 --- a/doc/html/math_toolkit/makima.html +++ b/doc/html/math_toolkit/makima.html @@ -4,7 +4,7 @@ Modified Akima interpolation - + diff --git a/doc/html/math_toolkit/mem_typedef.html b/doc/html/math_toolkit/mem_typedef.html index 263a54cf19..fd50530cf3 100644 --- a/doc/html/math_toolkit/mem_typedef.html +++ b/doc/html/math_toolkit/mem_typedef.html @@ -4,7 +4,7 @@ Quaternion Member Typedefs - + diff --git a/doc/html/math_toolkit/minimum_typdefs.html b/doc/html/math_toolkit/minimum_typdefs.html index 3960a92f1e..8492d3ce15 100644 --- a/doc/html/math_toolkit/minimum_typdefs.html +++ b/doc/html/math_toolkit/minimum_typdefs.html @@ -4,7 +4,7 @@ Minimum-width floating-point typedefs - + diff --git a/doc/html/math_toolkit/multiprecision.html b/doc/html/math_toolkit/multiprecision.html index 3cb07f9595..37a57d1121 100644 --- a/doc/html/math_toolkit/multiprecision.html +++ b/doc/html/math_toolkit/multiprecision.html @@ -4,7 +4,7 @@ Cost of High-Precision Non-built-in Floating-point - + diff --git a/doc/html/math_toolkit/naive_monte_carlo.html b/doc/html/math_toolkit/naive_monte_carlo.html index ef491bb10d..d49bb69528 100644 --- a/doc/html/math_toolkit/naive_monte_carlo.html +++ b/doc/html/math_toolkit/naive_monte_carlo.html @@ -4,7 +4,7 @@ Naive Monte Carlo Integration - + diff --git a/doc/html/math_toolkit/namespaces.html b/doc/html/math_toolkit/namespaces.html index a263cf9c02..f03cd3dd2d 100644 --- a/doc/html/math_toolkit/namespaces.html +++ b/doc/html/math_toolkit/namespaces.html @@ -4,10 +4,10 @@ Namespaces - + - + @@ -20,7 +20,7 @@


    -PrevUpHomeNext +PrevUpHomeNext

    @@ -100,7 +100,7 @@
    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/math_toolkit/navigation.html b/doc/html/math_toolkit/navigation.html index 4bd188e1ba..271309f7e9 100644 --- a/doc/html/math_toolkit/navigation.html +++ b/doc/html/math_toolkit/navigation.html @@ -4,7 +4,7 @@ Navigation - + @@ -27,7 +27,7 @@ Navigation

    - +

    Boost.Math documentation is provided in both HTML and PDF formats. diff --git a/doc/html/math_toolkit/new_const.html b/doc/html/math_toolkit/new_const.html index 77a045b4a6..eeff0f0d5f 100644 --- a/doc/html/math_toolkit/new_const.html +++ b/doc/html/math_toolkit/new_const.html @@ -4,7 +4,7 @@ Defining New Constants - + diff --git a/doc/html/math_toolkit/next_float.html b/doc/html/math_toolkit/next_float.html index 9618ed95fd..4c9abbf91f 100644 --- a/doc/html/math_toolkit/next_float.html +++ b/doc/html/math_toolkit/next_float.html @@ -4,7 +4,7 @@ Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values - + diff --git a/doc/html/math_toolkit/next_float/float_advance.html b/doc/html/math_toolkit/next_float/float_advance.html index dcee74a620..a4509ea5c1 100644 --- a/doc/html/math_toolkit/next_float/float_advance.html +++ b/doc/html/math_toolkit/next_float/float_advance.html @@ -4,7 +4,7 @@ Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance - + diff --git a/doc/html/math_toolkit/next_float/float_distance.html b/doc/html/math_toolkit/next_float/float_distance.html index 8e4627678e..7decb3df69 100644 --- a/doc/html/math_toolkit/next_float/float_distance.html +++ b/doc/html/math_toolkit/next_float/float_distance.html @@ -4,7 +4,7 @@ Calculating the Representation Distance Between Two floating-point Values (ULP) float_distance - + diff --git a/doc/html/math_toolkit/next_float/float_next.html b/doc/html/math_toolkit/next_float/float_next.html index 65e44a5454..8ac5fe5e4e 100644 --- a/doc/html/math_toolkit/next_float/float_next.html +++ b/doc/html/math_toolkit/next_float/float_next.html @@ -4,7 +4,7 @@ Finding the Next Greater Representable Value (float_next) - + diff --git a/doc/html/math_toolkit/next_float/float_prior.html b/doc/html/math_toolkit/next_float/float_prior.html index f868529c55..9d26560388 100644 --- a/doc/html/math_toolkit/next_float/float_prior.html +++ b/doc/html/math_toolkit/next_float/float_prior.html @@ -4,7 +4,7 @@ Finding the Next Smaller Representable Value (float_prior) - + diff --git a/doc/html/math_toolkit/next_float/nextafter.html b/doc/html/math_toolkit/next_float/nextafter.html index b991953047..7fbcd0c2db 100644 --- a/doc/html/math_toolkit/next_float/nextafter.html +++ b/doc/html/math_toolkit/next_float/nextafter.html @@ -4,7 +4,7 @@ Finding the Next Representable Value in a Specific Direction (nextafter) - + diff --git a/doc/html/math_toolkit/next_float/ulp.html b/doc/html/math_toolkit/next_float/ulp.html index 7a1fda005a..58819f8e68 100644 --- a/doc/html/math_toolkit/next_float/ulp.html +++ b/doc/html/math_toolkit/next_float/ulp.html @@ -4,7 +4,7 @@ Obtaining the Size of a Unit In the Last Place - ULP - + diff --git a/doc/html/math_toolkit/norms.html b/doc/html/math_toolkit/norms.html index 33edbf5ce0..3023af86fa 100644 --- a/doc/html/math_toolkit/norms.html +++ b/doc/html/math_toolkit/norms.html @@ -4,7 +4,7 @@ Norms - + diff --git a/doc/html/math_toolkit/number_series.html b/doc/html/math_toolkit/number_series.html index 77142c3685..595622cae2 100644 --- a/doc/html/math_toolkit/number_series.html +++ b/doc/html/math_toolkit/number_series.html @@ -4,7 +4,7 @@ Number Series - + diff --git a/doc/html/math_toolkit/number_series/bernoulli_numbers.html b/doc/html/math_toolkit/number_series/bernoulli_numbers.html index 0cf4fc0ce0..648c1611e4 100644 --- a/doc/html/math_toolkit/number_series/bernoulli_numbers.html +++ b/doc/html/math_toolkit/number_series/bernoulli_numbers.html @@ -4,7 +4,7 @@ Bernoulli Numbers - + diff --git a/doc/html/math_toolkit/number_series/fibonacci_numbers.html b/doc/html/math_toolkit/number_series/fibonacci_numbers.html index 923a2a47df..eeeb81fd7f 100644 --- a/doc/html/math_toolkit/number_series/fibonacci_numbers.html +++ b/doc/html/math_toolkit/number_series/fibonacci_numbers.html @@ -4,7 +4,7 @@ Fibonacci Numbers - + diff --git a/doc/html/math_toolkit/number_series/primes.html b/doc/html/math_toolkit/number_series/primes.html index 695bf21283..f8ac13c9f8 100644 --- a/doc/html/math_toolkit/number_series/primes.html +++ b/doc/html/math_toolkit/number_series/primes.html @@ -4,7 +4,7 @@ Prime Numbers - + diff --git a/doc/html/math_toolkit/number_series/tangent_numbers.html b/doc/html/math_toolkit/number_series/tangent_numbers.html index 69b87495b5..c17fe2247a 100644 --- a/doc/html/math_toolkit/number_series/tangent_numbers.html +++ b/doc/html/math_toolkit/number_series/tangent_numbers.html @@ -4,7 +4,7 @@ Tangent Numbers - + diff --git a/doc/html/math_toolkit/oct_create.html b/doc/html/math_toolkit/oct_create.html index dbdd8c70d8..f3bd6d6761 100644 --- a/doc/html/math_toolkit/oct_create.html +++ b/doc/html/math_toolkit/oct_create.html @@ -4,7 +4,7 @@ Octonion Creation Functions - + diff --git a/doc/html/math_toolkit/oct_header.html b/doc/html/math_toolkit/oct_header.html index 4d883331a9..1de0e26411 100644 --- a/doc/html/math_toolkit/oct_header.html +++ b/doc/html/math_toolkit/oct_header.html @@ -4,7 +4,7 @@ Header File - + diff --git a/doc/html/math_toolkit/oct_history.html b/doc/html/math_toolkit/oct_history.html index 0004f85df1..8ec2fd3d83 100644 --- a/doc/html/math_toolkit/oct_history.html +++ b/doc/html/math_toolkit/oct_history.html @@ -4,7 +4,7 @@ History - + diff --git a/doc/html/math_toolkit/oct_mem_fun.html b/doc/html/math_toolkit/oct_mem_fun.html index d0ebcc241f..e2815fb0f0 100644 --- a/doc/html/math_toolkit/oct_mem_fun.html +++ b/doc/html/math_toolkit/oct_mem_fun.html @@ -4,7 +4,7 @@ Octonion Member Functions - + diff --git a/doc/html/math_toolkit/oct_non_mem.html b/doc/html/math_toolkit/oct_non_mem.html index 1fb5f9c3ed..5bec7435c5 100644 --- a/doc/html/math_toolkit/oct_non_mem.html +++ b/doc/html/math_toolkit/oct_non_mem.html @@ -4,7 +4,7 @@ Octonion Non-Member Operators - + diff --git a/doc/html/math_toolkit/oct_overview.html b/doc/html/math_toolkit/oct_overview.html index cff04969e7..5f7604974d 100644 --- a/doc/html/math_toolkit/oct_overview.html +++ b/doc/html/math_toolkit/oct_overview.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/oct_specialization.html b/doc/html/math_toolkit/oct_specialization.html index c3c52b2f49..2e7503e0b6 100644 --- a/doc/html/math_toolkit/oct_specialization.html +++ b/doc/html/math_toolkit/oct_specialization.html @@ -4,7 +4,7 @@ Octonion Specializations - + diff --git a/doc/html/math_toolkit/oct_synopsis.html b/doc/html/math_toolkit/oct_synopsis.html index 356e06b118..0b92685454 100644 --- a/doc/html/math_toolkit/oct_synopsis.html +++ b/doc/html/math_toolkit/oct_synopsis.html @@ -4,7 +4,7 @@ Synopsis - + diff --git a/doc/html/math_toolkit/oct_tests.html b/doc/html/math_toolkit/oct_tests.html index 7acd33a2ef..542c74c5ed 100644 --- a/doc/html/math_toolkit/oct_tests.html +++ b/doc/html/math_toolkit/oct_tests.html @@ -4,7 +4,7 @@ Test Program - + diff --git a/doc/html/math_toolkit/oct_todo.html b/doc/html/math_toolkit/oct_todo.html index 852339cf1c..aaa1216dc2 100644 --- a/doc/html/math_toolkit/oct_todo.html +++ b/doc/html/math_toolkit/oct_todo.html @@ -4,7 +4,7 @@ To Do - + diff --git a/doc/html/math_toolkit/oct_trans.html b/doc/html/math_toolkit/oct_trans.html index e37c8410af..96a415591b 100644 --- a/doc/html/math_toolkit/oct_trans.html +++ b/doc/html/math_toolkit/oct_trans.html @@ -4,7 +4,7 @@ Octonions Transcendentals - + diff --git a/doc/html/math_toolkit/oct_typedefs.html b/doc/html/math_toolkit/oct_typedefs.html index 6ef0dae67e..0ff36aee76 100644 --- a/doc/html/math_toolkit/oct_typedefs.html +++ b/doc/html/math_toolkit/oct_typedefs.html @@ -4,7 +4,7 @@ Octonion Member Typedefs - + diff --git a/doc/html/math_toolkit/oct_value_ops.html b/doc/html/math_toolkit/oct_value_ops.html index 7162c7228b..6fa38d91cf 100644 --- a/doc/html/math_toolkit/oct_value_ops.html +++ b/doc/html/math_toolkit/oct_value_ops.html @@ -4,7 +4,7 @@ Octonion Value Operations - + diff --git a/doc/html/math_toolkit/octonion.html b/doc/html/math_toolkit/octonion.html index fd9a44f126..918c5e5f5c 100644 --- a/doc/html/math_toolkit/octonion.html +++ b/doc/html/math_toolkit/octonion.html @@ -4,7 +4,7 @@ Template Class octonion - + diff --git a/doc/html/math_toolkit/overview_tr1.html b/doc/html/math_toolkit/overview_tr1.html index f8eb498cd1..90153f0b8c 100644 --- a/doc/html/math_toolkit/overview_tr1.html +++ b/doc/html/math_toolkit/overview_tr1.html @@ -4,7 +4,7 @@ C99 and C++ TR1 C-style Functions - + diff --git a/doc/html/math_toolkit/owens_t.html b/doc/html/math_toolkit/owens_t.html index a3bef51e07..d55ea65b97 100644 --- a/doc/html/math_toolkit/owens_t.html +++ b/doc/html/math_toolkit/owens_t.html @@ -4,7 +4,7 @@ Owen's T function - + diff --git a/doc/html/math_toolkit/pchip.html b/doc/html/math_toolkit/pchip.html index 3573d2ed95..489e02f901 100644 --- a/doc/html/math_toolkit/pchip.html +++ b/doc/html/math_toolkit/pchip.html @@ -4,7 +4,7 @@ PCHIP interpolation - + diff --git a/doc/html/math_toolkit/perf_over1.html b/doc/html/math_toolkit/perf_over1.html index 866172fa63..f423494911 100644 --- a/doc/html/math_toolkit/perf_over1.html +++ b/doc/html/math_toolkit/perf_over1.html @@ -4,7 +4,7 @@ Performance - + diff --git a/doc/html/math_toolkit/perf_over2.html b/doc/html/math_toolkit/perf_over2.html index 4859ca1f5a..2c94f66150 100644 --- a/doc/html/math_toolkit/perf_over2.html +++ b/doc/html/math_toolkit/perf_over2.html @@ -4,7 +4,7 @@ Performance Overview - + diff --git a/doc/html/math_toolkit/perf_test_app.html b/doc/html/math_toolkit/perf_test_app.html index d4c061941e..15a198fd60 100644 --- a/doc/html/math_toolkit/perf_test_app.html +++ b/doc/html/math_toolkit/perf_test_app.html @@ -4,7 +4,7 @@ The Performance Test Applications - + diff --git a/doc/html/math_toolkit/pol_overview.html b/doc/html/math_toolkit/pol_overview.html index 296dbe1f35..a125a3c0ee 100644 --- a/doc/html/math_toolkit/pol_overview.html +++ b/doc/html/math_toolkit/pol_overview.html @@ -4,7 +4,7 @@ Policy Overview - + diff --git a/doc/html/math_toolkit/pol_ref.html b/doc/html/math_toolkit/pol_ref.html index e9e4df7cdc..f6e827063e 100644 --- a/doc/html/math_toolkit/pol_ref.html +++ b/doc/html/math_toolkit/pol_ref.html @@ -4,7 +4,7 @@ Policy Reference - + diff --git a/doc/html/math_toolkit/pol_ref/assert_undefined.html b/doc/html/math_toolkit/pol_ref/assert_undefined.html index 95f8f7d957..813578d9d2 100644 --- a/doc/html/math_toolkit/pol_ref/assert_undefined.html +++ b/doc/html/math_toolkit/pol_ref/assert_undefined.html @@ -4,7 +4,7 @@ Mathematically Undefined Function Policies - + diff --git a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html index e32afe6357..ba4a11fc1f 100644 --- a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html +++ b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html @@ -4,7 +4,7 @@ Discrete Quantile Policies - + diff --git a/doc/html/math_toolkit/pol_ref/error_handling_policies.html b/doc/html/math_toolkit/pol_ref/error_handling_policies.html index 9ec1725955..3b276cc2f4 100644 --- a/doc/html/math_toolkit/pol_ref/error_handling_policies.html +++ b/doc/html/math_toolkit/pol_ref/error_handling_policies.html @@ -4,7 +4,7 @@ Error Handling Policies - + diff --git a/doc/html/math_toolkit/pol_ref/internal_promotion.html b/doc/html/math_toolkit/pol_ref/internal_promotion.html index 6627fb6f94..bc2a2148bc 100644 --- a/doc/html/math_toolkit/pol_ref/internal_promotion.html +++ b/doc/html/math_toolkit/pol_ref/internal_promotion.html @@ -4,7 +4,7 @@ Internal Floating-point Promotion Policies - + diff --git a/doc/html/math_toolkit/pol_ref/iteration_pol.html b/doc/html/math_toolkit/pol_ref/iteration_pol.html index f4efade083..2c8adce4f2 100644 --- a/doc/html/math_toolkit/pol_ref/iteration_pol.html +++ b/doc/html/math_toolkit/pol_ref/iteration_pol.html @@ -4,7 +4,7 @@ Iteration Limits Policies - + diff --git a/doc/html/math_toolkit/pol_ref/namespace_pol.html b/doc/html/math_toolkit/pol_ref/namespace_pol.html index a8150a4d62..ce9c7f39de 100644 --- a/doc/html/math_toolkit/pol_ref/namespace_pol.html +++ b/doc/html/math_toolkit/pol_ref/namespace_pol.html @@ -4,7 +4,7 @@ Setting Polices at Namespace Scope - + diff --git a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html index 52f8534073..8d0465de8e 100644 --- a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html +++ b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html @@ -4,7 +4,7 @@ Policy Class Reference - + diff --git a/doc/html/math_toolkit/pol_ref/policy_defaults.html b/doc/html/math_toolkit/pol_ref/policy_defaults.html index e2756b32da..02c3fdcbaf 100644 --- a/doc/html/math_toolkit/pol_ref/policy_defaults.html +++ b/doc/html/math_toolkit/pol_ref/policy_defaults.html @@ -4,7 +4,7 @@ Using Macros to Change the Policy Defaults - + diff --git a/doc/html/math_toolkit/pol_ref/precision_pol.html b/doc/html/math_toolkit/pol_ref/precision_pol.html index e8e6916904..681a6c6be1 100644 --- a/doc/html/math_toolkit/pol_ref/precision_pol.html +++ b/doc/html/math_toolkit/pol_ref/precision_pol.html @@ -4,7 +4,7 @@ Precision Policies - + diff --git a/doc/html/math_toolkit/pol_tutorial.html b/doc/html/math_toolkit/pol_tutorial.html index 238e6739b9..6f15c1b57a 100644 --- a/doc/html/math_toolkit/pol_tutorial.html +++ b/doc/html/math_toolkit/pol_tutorial.html @@ -4,7 +4,7 @@ Policy Tutorial - + diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html index cb5dd21dfb..106b9c2e02 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html @@ -4,7 +4,7 @@ Setting Policies for Distributions on an Ad Hoc Basis - + diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html index a99551f205..3a341bf74a 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html @@ -4,7 +4,7 @@ Changing the Policy on an Ad Hoc Basis for the Special Functions - + diff --git a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html index ed21381307..0f26e36fe0 100644 --- a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html @@ -4,7 +4,7 @@ Changing the Policy Defaults - + diff --git a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html index a2d592bbc1..3c97178457 100644 --- a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html @@ -4,7 +4,7 @@ Setting Policies at Namespace or Translation Unit Scope - + diff --git a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html index 3949d96aa5..b277730b0f 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html @@ -4,7 +4,7 @@ Policies Have Sensible Defaults - + diff --git a/doc/html/math_toolkit/pol_tutorial/policy_usage.html b/doc/html/math_toolkit/pol_tutorial/policy_usage.html index afdbf71fac..a9bf0edbd5 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_usage.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_usage.html @@ -4,7 +4,7 @@ So How are Policies Used Anyway? - + diff --git a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html index 0d40f12f98..8af1b8a019 100644 --- a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html +++ b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html @@ -4,7 +4,7 @@ Understanding Quantiles of Discrete Distributions - + diff --git a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html index 3f61b82503..546be53753 100644 --- a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html +++ b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html @@ -4,7 +4,7 @@ Calling User Defined Error Handlers - + diff --git a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html index 4e199b62c1..909adb2d41 100644 --- a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html +++ b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html @@ -4,7 +4,7 @@ So Just What is a Policy Anyway? - + diff --git a/doc/html/math_toolkit/polynomials.html b/doc/html/math_toolkit/polynomials.html index be11a2de1e..10ed3d5b2b 100644 --- a/doc/html/math_toolkit/polynomials.html +++ b/doc/html/math_toolkit/polynomials.html @@ -4,7 +4,7 @@ Polynomials - + diff --git a/doc/html/math_toolkit/powers.html b/doc/html/math_toolkit/powers.html index 59448bc147..b7b3685e09 100644 --- a/doc/html/math_toolkit/powers.html +++ b/doc/html/math_toolkit/powers.html @@ -4,7 +4,7 @@ Basic Functions - + diff --git a/doc/html/math_toolkit/powers/cbrt.html b/doc/html/math_toolkit/powers/cbrt.html index 03f8feef6f..a7dc629131 100644 --- a/doc/html/math_toolkit/powers/cbrt.html +++ b/doc/html/math_toolkit/powers/cbrt.html @@ -4,7 +4,7 @@ cbrt - + diff --git a/doc/html/math_toolkit/powers/cos_pi.html b/doc/html/math_toolkit/powers/cos_pi.html index a91057c2d1..82bbb4441b 100644 --- a/doc/html/math_toolkit/powers/cos_pi.html +++ b/doc/html/math_toolkit/powers/cos_pi.html @@ -4,7 +4,7 @@ cos_pi - + diff --git a/doc/html/math_toolkit/powers/ct_pow.html b/doc/html/math_toolkit/powers/ct_pow.html index 5ef2f94638..7a1082f5d4 100644 --- a/doc/html/math_toolkit/powers/ct_pow.html +++ b/doc/html/math_toolkit/powers/ct_pow.html @@ -4,7 +4,7 @@ Compile Time Power of a Runtime Base - + diff --git a/doc/html/math_toolkit/powers/expm1.html b/doc/html/math_toolkit/powers/expm1.html index a4d759f76b..0bee6a3de6 100644 --- a/doc/html/math_toolkit/powers/expm1.html +++ b/doc/html/math_toolkit/powers/expm1.html @@ -4,7 +4,7 @@ expm1 - + diff --git a/doc/html/math_toolkit/powers/hypot.html b/doc/html/math_toolkit/powers/hypot.html index c65a22dcba..5432a2f895 100644 --- a/doc/html/math_toolkit/powers/hypot.html +++ b/doc/html/math_toolkit/powers/hypot.html @@ -4,7 +4,7 @@ hypot - + diff --git a/doc/html/math_toolkit/powers/log1p.html b/doc/html/math_toolkit/powers/log1p.html index d6af4fd73a..d1db809066 100644 --- a/doc/html/math_toolkit/powers/log1p.html +++ b/doc/html/math_toolkit/powers/log1p.html @@ -4,7 +4,7 @@ log1p - + diff --git a/doc/html/math_toolkit/powers/powm1.html b/doc/html/math_toolkit/powers/powm1.html index 7801795f3f..2d892e9d38 100644 --- a/doc/html/math_toolkit/powers/powm1.html +++ b/doc/html/math_toolkit/powers/powm1.html @@ -4,7 +4,7 @@ powm1 - + diff --git a/doc/html/math_toolkit/powers/rsqrt.html b/doc/html/math_toolkit/powers/rsqrt.html index 6706610850..33a8a79e7c 100644 --- a/doc/html/math_toolkit/powers/rsqrt.html +++ b/doc/html/math_toolkit/powers/rsqrt.html @@ -4,7 +4,7 @@ Reciprocal square root - + diff --git a/doc/html/math_toolkit/powers/sin_pi.html b/doc/html/math_toolkit/powers/sin_pi.html index b6025e72e0..38bdce6f3e 100644 --- a/doc/html/math_toolkit/powers/sin_pi.html +++ b/doc/html/math_toolkit/powers/sin_pi.html @@ -4,7 +4,7 @@ sin_pi - + diff --git a/doc/html/math_toolkit/powers/sqrt1pm1.html b/doc/html/math_toolkit/powers/sqrt1pm1.html index ab8f50a63a..494945fa30 100644 --- a/doc/html/math_toolkit/powers/sqrt1pm1.html +++ b/doc/html/math_toolkit/powers/sqrt1pm1.html @@ -4,7 +4,7 @@ sqrt1pm1 - + diff --git a/doc/html/math_toolkit/quat.html b/doc/html/math_toolkit/quat.html index 6a66b3d28b..7abaf27a54 100644 --- a/doc/html/math_toolkit/quat.html +++ b/doc/html/math_toolkit/quat.html @@ -4,7 +4,7 @@ Template Class quaternion - + diff --git a/doc/html/math_toolkit/quat_header.html b/doc/html/math_toolkit/quat_header.html index 55423cfd68..73359c99d3 100644 --- a/doc/html/math_toolkit/quat_header.html +++ b/doc/html/math_toolkit/quat_header.html @@ -4,7 +4,7 @@ Header File - + diff --git a/doc/html/math_toolkit/quat_history.html b/doc/html/math_toolkit/quat_history.html index c94ca61194..4fba9abf71 100644 --- a/doc/html/math_toolkit/quat_history.html +++ b/doc/html/math_toolkit/quat_history.html @@ -4,7 +4,7 @@ History - + diff --git a/doc/html/math_toolkit/quat_mem_fun.html b/doc/html/math_toolkit/quat_mem_fun.html index 90f09b6546..4bb0428a12 100644 --- a/doc/html/math_toolkit/quat_mem_fun.html +++ b/doc/html/math_toolkit/quat_mem_fun.html @@ -4,7 +4,7 @@ Quaternion Member Functions - + diff --git a/doc/html/math_toolkit/quat_non_mem.html b/doc/html/math_toolkit/quat_non_mem.html index d2f0f9ca07..1179f8f8c2 100644 --- a/doc/html/math_toolkit/quat_non_mem.html +++ b/doc/html/math_toolkit/quat_non_mem.html @@ -4,7 +4,7 @@ Quaternion Non-Member Operators - + diff --git a/doc/html/math_toolkit/quat_overview.html b/doc/html/math_toolkit/quat_overview.html index cd42c421e3..9a6ed6fda2 100644 --- a/doc/html/math_toolkit/quat_overview.html +++ b/doc/html/math_toolkit/quat_overview.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/quat_synopsis.html b/doc/html/math_toolkit/quat_synopsis.html index c949f878be..f0900ffc6f 100644 --- a/doc/html/math_toolkit/quat_synopsis.html +++ b/doc/html/math_toolkit/quat_synopsis.html @@ -4,7 +4,7 @@ Synopsis - + diff --git a/doc/html/math_toolkit/quat_tests.html b/doc/html/math_toolkit/quat_tests.html index d2d6779348..5eb4fb86aa 100644 --- a/doc/html/math_toolkit/quat_tests.html +++ b/doc/html/math_toolkit/quat_tests.html @@ -4,7 +4,7 @@ Test Program - + diff --git a/doc/html/math_toolkit/quat_todo.html b/doc/html/math_toolkit/quat_todo.html index 2688abae2a..b77c64365d 100644 --- a/doc/html/math_toolkit/quat_todo.html +++ b/doc/html/math_toolkit/quat_todo.html @@ -4,7 +4,7 @@ To Do - + diff --git a/doc/html/math_toolkit/quintic_hermite.html b/doc/html/math_toolkit/quintic_hermite.html index 1897cefe26..257a48efa0 100644 --- a/doc/html/math_toolkit/quintic_hermite.html +++ b/doc/html/math_toolkit/quintic_hermite.html @@ -4,7 +4,7 @@ Quintic Hermite interpolation - + diff --git a/doc/html/math_toolkit/rational.html b/doc/html/math_toolkit/rational.html index 35398ca8df..76fa1edd88 100644 --- a/doc/html/math_toolkit/rational.html +++ b/doc/html/math_toolkit/rational.html @@ -4,7 +4,7 @@ Polynomial and Rational Function Evaluation - + diff --git a/doc/html/math_toolkit/rationale.html b/doc/html/math_toolkit/rationale.html index 7bd62bad02..7e90bbebda 100644 --- a/doc/html/math_toolkit/rationale.html +++ b/doc/html/math_toolkit/rationale.html @@ -4,7 +4,7 @@ Rationale - + diff --git a/doc/html/math_toolkit/real_concepts.html b/doc/html/math_toolkit/real_concepts.html index ae21cb12eb..2f6bc60f7b 100644 --- a/doc/html/math_toolkit/real_concepts.html +++ b/doc/html/math_toolkit/real_concepts.html @@ -4,7 +4,7 @@ Conceptual Requirements for Real Number Types - + diff --git a/doc/html/math_toolkit/refs.html b/doc/html/math_toolkit/refs.html index 82a9d0a1bc..4791c6f820 100644 --- a/doc/html/math_toolkit/refs.html +++ b/doc/html/math_toolkit/refs.html @@ -4,7 +4,7 @@ References - + diff --git a/doc/html/math_toolkit/relative_error.html b/doc/html/math_toolkit/relative_error.html index 1d6f4ebbab..e71a312342 100644 --- a/doc/html/math_toolkit/relative_error.html +++ b/doc/html/math_toolkit/relative_error.html @@ -4,7 +4,7 @@ Relative Error - + diff --git a/doc/html/math_toolkit/remez.html b/doc/html/math_toolkit/remez.html index f733a299e0..249e5986ea 100644 --- a/doc/html/math_toolkit/remez.html +++ b/doc/html/math_toolkit/remez.html @@ -4,7 +4,7 @@ The Remez Method - + diff --git a/doc/html/math_toolkit/result_type.html b/doc/html/math_toolkit/result_type.html index bfa18a3c75..df92a9ef70 100644 --- a/doc/html/math_toolkit/result_type.html +++ b/doc/html/math_toolkit/result_type.html @@ -4,9 +4,9 @@ Calculation of the Type of the Result - + - + @@ -20,7 +20,7 @@


    -PrevUpHomeNext +PrevUpHomeNext

    @@ -179,7 +179,7 @@
    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/math_toolkit/root_comparison.html b/doc/html/math_toolkit/root_comparison.html index 61d5612858..c2d415050a 100644 --- a/doc/html/math_toolkit/root_comparison.html +++ b/doc/html/math_toolkit/root_comparison.html @@ -4,7 +4,7 @@ Comparison of Root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html index 7ac6fd526b..ea656bb338 100644 --- a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html +++ b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html @@ -4,7 +4,7 @@ Comparison of Cube Root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html index 0ac0029774..2a129f035c 100644 --- a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html +++ b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html @@ -4,7 +4,7 @@ Comparison of Elliptic Integral Root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_comparison/root_n_comparison.html b/doc/html/math_toolkit/root_comparison/root_n_comparison.html index d85e731fad..c812c639f1 100644 --- a/doc/html/math_toolkit/root_comparison/root_n_comparison.html +++ b/doc/html/math_toolkit/root_comparison/root_n_comparison.html @@ -4,7 +4,7 @@ Comparison of Nth-root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_finding_examples.html b/doc/html/math_toolkit/root_finding_examples.html index 64d10a0d4f..e0503b1f0d 100644 --- a/doc/html/math_toolkit/root_finding_examples.html +++ b/doc/html/math_toolkit/root_finding_examples.html @@ -4,7 +4,7 @@ Examples of Root-Finding (with and without derivatives) - + diff --git a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html index a9be17b96c..7d74e94351 100644 --- a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html @@ -4,7 +4,7 @@ Computing the Fifth Root - + diff --git a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html index 307971d97e..b7fe277da2 100644 --- a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html @@ -4,7 +4,7 @@ Finding the Cubed Root With and Without Derivatives - + diff --git a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html index dd03778960..057bbc86d1 100644 --- a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html @@ -4,7 +4,7 @@ A More complex example - Inverting the Elliptic Integrals - + diff --git a/doc/html/math_toolkit/root_finding_examples/lambda.html b/doc/html/math_toolkit/root_finding_examples/lambda.html index a5d484b087..4e6acfb719 100644 --- a/doc/html/math_toolkit/root_finding_examples/lambda.html +++ b/doc/html/math_toolkit/root_finding_examples/lambda.html @@ -4,7 +4,7 @@ Using C++11 Lambda's - + diff --git a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html index fb62f5f30b..8e27ad0189 100644 --- a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html +++ b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html @@ -4,7 +4,7 @@ Root-finding using Boost.Multiprecision - + diff --git a/doc/html/math_toolkit/root_finding_examples/nth_root.html b/doc/html/math_toolkit/root_finding_examples/nth_root.html index b40fb8da95..e00bd3cf7d 100644 --- a/doc/html/math_toolkit/root_finding_examples/nth_root.html +++ b/doc/html/math_toolkit/root_finding_examples/nth_root.html @@ -4,7 +4,7 @@ Generalizing to Compute the nth root - + diff --git a/doc/html/math_toolkit/roots_deriv.html b/doc/html/math_toolkit/roots_deriv.html index 8830d31d1d..ca451dc94b 100644 --- a/doc/html/math_toolkit/roots_deriv.html +++ b/doc/html/math_toolkit/roots_deriv.html @@ -4,7 +4,7 @@ Root Finding With Derivatives: Newton-Raphson, Halley & Schröder - + diff --git a/doc/html/math_toolkit/roots_noderiv.html b/doc/html/math_toolkit/roots_noderiv.html index c17a2b6247..2ed6c9742b 100644 --- a/doc/html/math_toolkit/roots_noderiv.html +++ b/doc/html/math_toolkit/roots_noderiv.html @@ -4,7 +4,7 @@ Root Finding Without Derivatives - + diff --git a/doc/html/math_toolkit/roots_noderiv/TOMS748.html b/doc/html/math_toolkit/roots_noderiv/TOMS748.html index f0b47a6a13..300f47a736 100644 --- a/doc/html/math_toolkit/roots_noderiv/TOMS748.html +++ b/doc/html/math_toolkit/roots_noderiv/TOMS748.html @@ -4,7 +4,7 @@ Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions - + diff --git a/doc/html/math_toolkit/roots_noderiv/bisect.html b/doc/html/math_toolkit/roots_noderiv/bisect.html index 07add7d4c3..330908fb5c 100644 --- a/doc/html/math_toolkit/roots_noderiv/bisect.html +++ b/doc/html/math_toolkit/roots_noderiv/bisect.html @@ -4,7 +4,7 @@ Bisection - + diff --git a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html index 3e3ca09397..f4d018f4e0 100644 --- a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html +++ b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html @@ -4,7 +4,7 @@ Bracket and Solve Root - + diff --git a/doc/html/math_toolkit/roots_noderiv/brent.html b/doc/html/math_toolkit/roots_noderiv/brent.html index a23e02c153..a79f543ea8 100644 --- a/doc/html/math_toolkit/roots_noderiv/brent.html +++ b/doc/html/math_toolkit/roots_noderiv/brent.html @@ -4,7 +4,7 @@ Brent-Decker Algorithm - + diff --git a/doc/html/math_toolkit/roots_noderiv/implementation.html b/doc/html/math_toolkit/roots_noderiv/implementation.html index ddcf5a6d91..4e9dc71032 100644 --- a/doc/html/math_toolkit/roots_noderiv/implementation.html +++ b/doc/html/math_toolkit/roots_noderiv/implementation.html @@ -4,7 +4,7 @@ Implementation - + diff --git a/doc/html/math_toolkit/roots_noderiv/root_termination.html b/doc/html/math_toolkit/roots_noderiv/root_termination.html index 7e6e79c3b4..9dcf693bc6 100644 --- a/doc/html/math_toolkit/roots_noderiv/root_termination.html +++ b/doc/html/math_toolkit/roots_noderiv/root_termination.html @@ -4,7 +4,7 @@ Termination Condition Functors - + diff --git a/doc/html/math_toolkit/rounding.html b/doc/html/math_toolkit/rounding.html index fa4a38e4e6..cb1424a813 100644 --- a/doc/html/math_toolkit/rounding.html +++ b/doc/html/math_toolkit/rounding.html @@ -4,7 +4,7 @@ Rounding Truncation and Integer Conversion - + diff --git a/doc/html/math_toolkit/rounding/modf.html b/doc/html/math_toolkit/rounding/modf.html index 6967e8372a..aebfa0454b 100644 --- a/doc/html/math_toolkit/rounding/modf.html +++ b/doc/html/math_toolkit/rounding/modf.html @@ -4,7 +4,7 @@ Integer and Fractional Part Splitting (modf) - + diff --git a/doc/html/math_toolkit/rounding/round.html b/doc/html/math_toolkit/rounding/round.html index 677d0ffce7..708fec6485 100644 --- a/doc/html/math_toolkit/rounding/round.html +++ b/doc/html/math_toolkit/rounding/round.html @@ -4,7 +4,7 @@ Rounding Functions - + diff --git a/doc/html/math_toolkit/rounding/trunc.html b/doc/html/math_toolkit/rounding/trunc.html index eeeb56a0cd..085c094473 100644 --- a/doc/html/math_toolkit/rounding/trunc.html +++ b/doc/html/math_toolkit/rounding/trunc.html @@ -4,7 +4,7 @@ Truncation Functions - + diff --git a/doc/html/math_toolkit/runs_test.html b/doc/html/math_toolkit/runs_test.html index 9ce29f93b3..1ec54944c4 100644 --- a/doc/html/math_toolkit/runs_test.html +++ b/doc/html/math_toolkit/runs_test.html @@ -4,7 +4,7 @@ Runs tests - + diff --git a/doc/html/math_toolkit/sf_beta.html b/doc/html/math_toolkit/sf_beta.html index f23c83027c..e51e398616 100644 --- a/doc/html/math_toolkit/sf_beta.html +++ b/doc/html/math_toolkit/sf_beta.html @@ -4,7 +4,7 @@ Beta Functions - + diff --git a/doc/html/math_toolkit/sf_beta/beta_derivative.html b/doc/html/math_toolkit/sf_beta/beta_derivative.html index 7b503e90db..aa3a51c54f 100644 --- a/doc/html/math_toolkit/sf_beta/beta_derivative.html +++ b/doc/html/math_toolkit/sf_beta/beta_derivative.html @@ -4,7 +4,7 @@ Derivative of the Incomplete Beta Function - + diff --git a/doc/html/math_toolkit/sf_beta/beta_function.html b/doc/html/math_toolkit/sf_beta/beta_function.html index fb1308fb42..07896c383b 100644 --- a/doc/html/math_toolkit/sf_beta/beta_function.html +++ b/doc/html/math_toolkit/sf_beta/beta_function.html @@ -4,7 +4,7 @@ Beta - + diff --git a/doc/html/math_toolkit/sf_beta/ibeta_function.html b/doc/html/math_toolkit/sf_beta/ibeta_function.html index 114a4ce6a7..892c333164 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_function.html @@ -4,7 +4,7 @@ Incomplete Beta Functions - + diff --git a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html index e04915e63d..2a667fb603 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html @@ -4,7 +4,7 @@ The Incomplete Beta Function Inverses - + diff --git a/doc/html/math_toolkit/sf_erf.html b/doc/html/math_toolkit/sf_erf.html index 223ac0ff9d..5b83e84b59 100644 --- a/doc/html/math_toolkit/sf_erf.html +++ b/doc/html/math_toolkit/sf_erf.html @@ -4,7 +4,7 @@ Error Functions - + diff --git a/doc/html/math_toolkit/sf_erf/error_function.html b/doc/html/math_toolkit/sf_erf/error_function.html index f6fd45624e..15012ea41d 100644 --- a/doc/html/math_toolkit/sf_erf/error_function.html +++ b/doc/html/math_toolkit/sf_erf/error_function.html @@ -4,7 +4,7 @@ Error Function erf and complement erfc - + diff --git a/doc/html/math_toolkit/sf_erf/error_inv.html b/doc/html/math_toolkit/sf_erf/error_inv.html index d178f5d806..948a3c16cb 100644 --- a/doc/html/math_toolkit/sf_erf/error_inv.html +++ b/doc/html/math_toolkit/sf_erf/error_inv.html @@ -4,7 +4,7 @@ Error Function Inverses - + diff --git a/doc/html/math_toolkit/sf_gamma.html b/doc/html/math_toolkit/sf_gamma.html index b10a9e83ff..66343d492f 100644 --- a/doc/html/math_toolkit/sf_gamma.html +++ b/doc/html/math_toolkit/sf_gamma.html @@ -4,7 +4,7 @@ Gamma Functions - + diff --git a/doc/html/math_toolkit/sf_gamma/digamma.html b/doc/html/math_toolkit/sf_gamma/digamma.html index d3669b923a..e61c0238d4 100644 --- a/doc/html/math_toolkit/sf_gamma/digamma.html +++ b/doc/html/math_toolkit/sf_gamma/digamma.html @@ -4,7 +4,7 @@ Digamma - + diff --git a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html index fc9c23fd51..cc9c63903b 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html @@ -4,7 +4,7 @@ Derivative of the Incomplete Gamma Function - + diff --git a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html index 784a1238b2..a64bc905e7 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html @@ -4,7 +4,7 @@ Ratios of Gamma Functions - + diff --git a/doc/html/math_toolkit/sf_gamma/igamma.html b/doc/html/math_toolkit/sf_gamma/igamma.html index 1bc2bc4a94..40d1837362 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma.html +++ b/doc/html/math_toolkit/sf_gamma/igamma.html @@ -4,7 +4,7 @@ Incomplete Gamma Functions - + diff --git a/doc/html/math_toolkit/sf_gamma/igamma_inv.html b/doc/html/math_toolkit/sf_gamma/igamma_inv.html index 3fe98ba4c6..fc4a5ffcb1 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma_inv.html +++ b/doc/html/math_toolkit/sf_gamma/igamma_inv.html @@ -4,7 +4,7 @@ Incomplete Gamma Function Inverses - + diff --git a/doc/html/math_toolkit/sf_gamma/lgamma.html b/doc/html/math_toolkit/sf_gamma/lgamma.html index 9a93300b5f..6a6f508156 100644 --- a/doc/html/math_toolkit/sf_gamma/lgamma.html +++ b/doc/html/math_toolkit/sf_gamma/lgamma.html @@ -4,7 +4,7 @@ Log Gamma - + diff --git a/doc/html/math_toolkit/sf_gamma/polygamma.html b/doc/html/math_toolkit/sf_gamma/polygamma.html index 36d79f0694..42df529433 100644 --- a/doc/html/math_toolkit/sf_gamma/polygamma.html +++ b/doc/html/math_toolkit/sf_gamma/polygamma.html @@ -4,7 +4,7 @@ Polygamma - + diff --git a/doc/html/math_toolkit/sf_gamma/tgamma.html b/doc/html/math_toolkit/sf_gamma/tgamma.html index 36705d2ce4..7829c804cd 100644 --- a/doc/html/math_toolkit/sf_gamma/tgamma.html +++ b/doc/html/math_toolkit/sf_gamma/tgamma.html @@ -4,7 +4,7 @@ Gamma - + diff --git a/doc/html/math_toolkit/sf_gamma/trigamma.html b/doc/html/math_toolkit/sf_gamma/trigamma.html index 3b19b06e43..d516f8b88f 100644 --- a/doc/html/math_toolkit/sf_gamma/trigamma.html +++ b/doc/html/math_toolkit/sf_gamma/trigamma.html @@ -4,7 +4,7 @@ Trigamma - + diff --git a/doc/html/math_toolkit/sf_implementation.html b/doc/html/math_toolkit/sf_implementation.html index 34c364e534..b39453ea24 100644 --- a/doc/html/math_toolkit/sf_implementation.html +++ b/doc/html/math_toolkit/sf_implementation.html @@ -4,7 +4,7 @@ Additional Implementation Notes - + diff --git a/doc/html/math_toolkit/sf_poly.html b/doc/html/math_toolkit/sf_poly.html index 4e56ebb9b0..01a3c51d04 100644 --- a/doc/html/math_toolkit/sf_poly.html +++ b/doc/html/math_toolkit/sf_poly.html @@ -4,7 +4,7 @@ Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html index 0b764c7c59..fc6cfd6e47 100644 --- a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html +++ b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html @@ -4,7 +4,7 @@ Cardinal B-splines - + diff --git a/doc/html/math_toolkit/sf_poly/chebyshev.html b/doc/html/math_toolkit/sf_poly/chebyshev.html index 316010ad00..6e51559581 100644 --- a/doc/html/math_toolkit/sf_poly/chebyshev.html +++ b/doc/html/math_toolkit/sf_poly/chebyshev.html @@ -4,7 +4,7 @@ Chebyshev Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/gegenbauer.html b/doc/html/math_toolkit/sf_poly/gegenbauer.html index feaa717403..813361e5f5 100644 --- a/doc/html/math_toolkit/sf_poly/gegenbauer.html +++ b/doc/html/math_toolkit/sf_poly/gegenbauer.html @@ -4,7 +4,7 @@ Gegenbauer Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/hermite.html b/doc/html/math_toolkit/sf_poly/hermite.html index 31df713844..1417c51f6e 100644 --- a/doc/html/math_toolkit/sf_poly/hermite.html +++ b/doc/html/math_toolkit/sf_poly/hermite.html @@ -4,7 +4,7 @@ Hermite Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/jacobi.html b/doc/html/math_toolkit/sf_poly/jacobi.html index 8946635fc1..6b313e2707 100644 --- a/doc/html/math_toolkit/sf_poly/jacobi.html +++ b/doc/html/math_toolkit/sf_poly/jacobi.html @@ -4,7 +4,7 @@ Jacobi Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/laguerre.html b/doc/html/math_toolkit/sf_poly/laguerre.html index 25bbf3dd5e..ea4135e95c 100644 --- a/doc/html/math_toolkit/sf_poly/laguerre.html +++ b/doc/html/math_toolkit/sf_poly/laguerre.html @@ -4,7 +4,7 @@ Laguerre (and Associated) Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/legendre.html b/doc/html/math_toolkit/sf_poly/legendre.html index ddf6977c97..8329b2c4bb 100644 --- a/doc/html/math_toolkit/sf_poly/legendre.html +++ b/doc/html/math_toolkit/sf_poly/legendre.html @@ -4,7 +4,7 @@ Legendre (and Associated) Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html index 3bb9064c71..7569ecc15a 100644 --- a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html +++ b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html @@ -4,7 +4,7 @@ Legendre-Stieltjes Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/sph_harm.html b/doc/html/math_toolkit/sf_poly/sph_harm.html index 057d122455..4bf7a628b7 100644 --- a/doc/html/math_toolkit/sf_poly/sph_harm.html +++ b/doc/html/math_toolkit/sf_poly/sph_harm.html @@ -4,7 +4,7 @@ Spherical Harmonics - + diff --git a/doc/html/math_toolkit/sign_functions.html b/doc/html/math_toolkit/sign_functions.html index ebe2c36665..1ff99d139f 100644 --- a/doc/html/math_toolkit/sign_functions.html +++ b/doc/html/math_toolkit/sign_functions.html @@ -4,7 +4,7 @@ Sign Manipulation Functions - + diff --git a/doc/html/math_toolkit/signal_statistics.html b/doc/html/math_toolkit/signal_statistics.html index 7c7d939ec5..60609b6cf3 100644 --- a/doc/html/math_toolkit/signal_statistics.html +++ b/doc/html/math_toolkit/signal_statistics.html @@ -4,7 +4,7 @@ Signal Statistics - + diff --git a/doc/html/math_toolkit/sinc.html b/doc/html/math_toolkit/sinc.html index c456296168..0a56d7b49f 100644 --- a/doc/html/math_toolkit/sinc.html +++ b/doc/html/math_toolkit/sinc.html @@ -4,7 +4,7 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions - + diff --git a/doc/html/math_toolkit/sinc/sinc_overview.html b/doc/html/math_toolkit/sinc/sinc_overview.html index 3b87340b8e..54ab0d104a 100644 --- a/doc/html/math_toolkit/sinc/sinc_overview.html +++ b/doc/html/math_toolkit/sinc/sinc_overview.html @@ -4,7 +4,7 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview - + diff --git a/doc/html/math_toolkit/sinc/sinc_pi.html b/doc/html/math_toolkit/sinc/sinc_pi.html index e13dd995c9..a77e33108a 100644 --- a/doc/html/math_toolkit/sinc/sinc_pi.html +++ b/doc/html/math_toolkit/sinc/sinc_pi.html @@ -4,7 +4,7 @@ sinc_pi - + diff --git a/doc/html/math_toolkit/sinc/sinhc_pi.html b/doc/html/math_toolkit/sinc/sinhc_pi.html index 1b5a637d12..4502b439aa 100644 --- a/doc/html/math_toolkit/sinc/sinhc_pi.html +++ b/doc/html/math_toolkit/sinc/sinhc_pi.html @@ -4,7 +4,7 @@ sinhc_pi - + diff --git a/doc/html/math_toolkit/spec.html b/doc/html/math_toolkit/spec.html index 5234cb64da..94aa1fda8c 100644 --- a/doc/html/math_toolkit/spec.html +++ b/doc/html/math_toolkit/spec.html @@ -4,7 +4,7 @@ Quaternion Specializations - + diff --git a/doc/html/math_toolkit/special_tut.html b/doc/html/math_toolkit/special_tut.html index e2752c3a32..407712b382 100644 --- a/doc/html/math_toolkit/special_tut.html +++ b/doc/html/math_toolkit/special_tut.html @@ -4,7 +4,7 @@ Tutorial: How to Write a New Special Function - + diff --git a/doc/html/math_toolkit/special_tut/special_tut_impl.html b/doc/html/math_toolkit/special_tut/special_tut_impl.html index 72ea4d7cfa..ba7403f1ab 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_impl.html +++ b/doc/html/math_toolkit/special_tut/special_tut_impl.html @@ -4,7 +4,7 @@ Implementation - + diff --git a/doc/html/math_toolkit/special_tut/special_tut_test.html b/doc/html/math_toolkit/special_tut/special_tut_test.html index 0a1c6b3f6a..cf36290b56 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_test.html +++ b/doc/html/math_toolkit/special_tut/special_tut_test.html @@ -4,7 +4,7 @@ Testing - + diff --git a/doc/html/math_toolkit/specified_typedefs.html b/doc/html/math_toolkit/specified_typedefs.html index 79323cdb33..0f8197eee9 100644 --- a/doc/html/math_toolkit/specified_typedefs.html +++ b/doc/html/math_toolkit/specified_typedefs.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/stat_tut.html b/doc/html/math_toolkit/stat_tut.html index 789d763d04..71f3f3a9b7 100644 --- a/doc/html/math_toolkit/stat_tut.html +++ b/doc/html/math_toolkit/stat_tut.html @@ -4,7 +4,7 @@ Statistical Distributions Tutorial - + diff --git a/doc/html/math_toolkit/stat_tut/dist_params.html b/doc/html/math_toolkit/stat_tut/dist_params.html index fe8c27d3b6..81875e0422 100644 --- a/doc/html/math_toolkit/stat_tut/dist_params.html +++ b/doc/html/math_toolkit/stat_tut/dist_params.html @@ -4,7 +4,7 @@ Discrete Probability Distributions - + diff --git a/doc/html/math_toolkit/stat_tut/overview.html b/doc/html/math_toolkit/stat_tut/overview.html index ae976e845c..dce8fb3354 100644 --- a/doc/html/math_toolkit/stat_tut/overview.html +++ b/doc/html/math_toolkit/stat_tut/overview.html @@ -4,7 +4,7 @@ Overview of Statistical Distributions - + diff --git a/doc/html/math_toolkit/stat_tut/overview/complements.html b/doc/html/math_toolkit/stat_tut/overview/complements.html index ba9d4db950..bac855d705 100644 --- a/doc/html/math_toolkit/stat_tut/overview/complements.html +++ b/doc/html/math_toolkit/stat_tut/overview/complements.html @@ -4,7 +4,7 @@ Complements are supported too - and when to use them - + diff --git a/doc/html/math_toolkit/stat_tut/overview/generic.html b/doc/html/math_toolkit/stat_tut/overview/generic.html index 33479632fa..e66eec82bb 100644 --- a/doc/html/math_toolkit/stat_tut/overview/generic.html +++ b/doc/html/math_toolkit/stat_tut/overview/generic.html @@ -4,7 +4,7 @@ Generic operations common to all distributions are non-member functions - + diff --git a/doc/html/math_toolkit/stat_tut/overview/headers.html b/doc/html/math_toolkit/stat_tut/overview/headers.html index 989f1344dd..d7eb1ce9cb 100644 --- a/doc/html/math_toolkit/stat_tut/overview/headers.html +++ b/doc/html/math_toolkit/stat_tut/overview/headers.html @@ -4,7 +4,7 @@ Headers and Namespaces - + diff --git a/doc/html/math_toolkit/stat_tut/overview/objects.html b/doc/html/math_toolkit/stat_tut/overview/objects.html index 86f70b7ad9..162324ae8b 100644 --- a/doc/html/math_toolkit/stat_tut/overview/objects.html +++ b/doc/html/math_toolkit/stat_tut/overview/objects.html @@ -4,7 +4,7 @@ Distributions are Objects - + diff --git a/doc/html/math_toolkit/stat_tut/overview/parameters.html b/doc/html/math_toolkit/stat_tut/overview/parameters.html index 7bdaea6133..2f1b66fa05 100644 --- a/doc/html/math_toolkit/stat_tut/overview/parameters.html +++ b/doc/html/math_toolkit/stat_tut/overview/parameters.html @@ -4,7 +4,7 @@ Parameters can be calculated - + diff --git a/doc/html/math_toolkit/stat_tut/overview/summary.html b/doc/html/math_toolkit/stat_tut/overview/summary.html index 7e7c211471..67151f83bd 100644 --- a/doc/html/math_toolkit/stat_tut/overview/summary.html +++ b/doc/html/math_toolkit/stat_tut/overview/summary.html @@ -4,7 +4,7 @@ Summary - + diff --git a/doc/html/math_toolkit/stat_tut/variates.html b/doc/html/math_toolkit/stat_tut/variates.html index c41a3a5eb3..39174e33fb 100644 --- a/doc/html/math_toolkit/stat_tut/variates.html +++ b/doc/html/math_toolkit/stat_tut/variates.html @@ -4,7 +4,7 @@ Random Variates and Distribution Parameters - + diff --git a/doc/html/math_toolkit/stat_tut/weg.html b/doc/html/math_toolkit/stat_tut/weg.html index 180c94a441..7e96a497c0 100644 --- a/doc/html/math_toolkit/stat_tut/weg.html +++ b/doc/html/math_toolkit/stat_tut/weg.html @@ -4,7 +4,7 @@ Worked Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html index beb9a6386b..0211de208b 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html @@ -4,7 +4,7 @@ Binomial Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html index bce8e3c6a3..8cd649b3a7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html @@ -4,7 +4,7 @@ Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html index e57739694e..cc4ef0615b 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html @@ -4,7 +4,7 @@ Estimating Sample Sizes for a Binomial Distribution. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html index f560add219..e34736f75c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html @@ -4,7 +4,7 @@ Binomial Coin-Flipping Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html index aae5a3de2d..c16dfd23f3 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html @@ -4,7 +4,7 @@ Binomial Quiz Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html index 97d9caebe2..94f834da72 100644 --- a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html +++ b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html @@ -4,7 +4,7 @@ Using the Distributions from Within C# - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html index 754edd5361..767a7ba8f7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html @@ -4,7 +4,7 @@ Chi Squared Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html index f28f3d06e8..372e6fbd4a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html @@ -4,7 +4,7 @@ Confidence Intervals on the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html index c2c1c478ce..2c8d2bd2ba 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html @@ -4,7 +4,7 @@ Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html index f3c424f9f7..e082d19335 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html @@ -4,7 +4,7 @@ Chi-Square Test for the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html index aa181dcbac..bf1b013d6e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html @@ -4,7 +4,7 @@ Distribution Construction Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/error_eg.html b/doc/html/math_toolkit/stat_tut/weg/error_eg.html index 1d21343c48..265f81973c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/error_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/error_eg.html @@ -4,7 +4,7 @@ Error Handling Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/f_eg.html b/doc/html/math_toolkit/stat_tut/weg/f_eg.html index fc83336e8b..a10c1c149a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/f_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/f_eg.html @@ -4,7 +4,7 @@ F Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg.html index b6d7085808..43185ee89c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg.html @@ -4,7 +4,7 @@ Find Location and Scale Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html index 23d80dd91d..445b5647a8 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html @@ -4,7 +4,7 @@ Find Location (Mean) Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html index 2afdb3ad1c..2b830d714e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html @@ -4,7 +4,7 @@ Find mean and standard deviation example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html index ee884dbea8..7443de631e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html @@ -4,7 +4,7 @@ Find Scale (Standard Deviation) Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html index 04fa236e59..664ed682fe 100644 --- a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html @@ -4,7 +4,7 @@ Geometric Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html index 44157db87d..2f1ba5a156 100644 --- a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html @@ -4,7 +4,7 @@ Inverse Chi-Squared Distribution Bayes Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/nag_library.html b/doc/html/math_toolkit/stat_tut/weg/nag_library.html index 05f7bc2892..67502970a2 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nag_library.html +++ b/doc/html/math_toolkit/stat_tut/weg/nag_library.html @@ -4,7 +4,7 @@ Comparison with C, R, FORTRAN-style Free Functions - + diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html index 77a570557a..003a79b3c9 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html @@ -4,7 +4,7 @@ Non Central Chi Squared Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html index 79a0d813c6..5ff550b6c7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html @@ -4,7 +4,7 @@ Tables of the power function of the chi2 test. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html index 5659810e66..3c6b7f27f7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html @@ -4,7 +4,7 @@ Negative Binomial Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html index 7564cddf69..6c48744084 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html @@ -4,7 +4,7 @@ Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html index dc9ba2c010..dfc0abd2f6 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html @@ -4,7 +4,7 @@ Estimating Sample Sizes for the Negative Binomial. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html index 40469ede02..3cac0eab91 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html @@ -4,7 +4,7 @@ Negative Binomial Sales Quota Example. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html index 2279feaf31..40c615d915 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html @@ -4,7 +4,7 @@ Negative Binomial Table Printing Example. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example.html b/doc/html/math_toolkit/stat_tut/weg/normal_example.html index 4708cae67d..5528be04da 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example.html @@ -4,7 +4,7 @@ Normal Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html index 4a8a113142..c0d4257a56 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html @@ -4,7 +4,7 @@ Some Miscellaneous Examples of the Normal (Gaussian) Distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg.html b/doc/html/math_toolkit/stat_tut/weg/st_eg.html index 6a3203f04c..5da8ad61c7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg.html @@ -4,7 +4,7 @@ Student's t Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html index 820a06aace..3578ca4bf1 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html @@ -4,7 +4,7 @@ Comparing two paired samples with the Student's t distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html index bfcf907e4c..c0b8efbcc7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html @@ -4,7 +4,7 @@ Calculating confidence intervals on the mean with the Students-t distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html index fabdb51beb..2d6e0e2d9c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html @@ -4,7 +4,7 @@ Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html index 906c8203ae..2a172e2cae 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html @@ -4,7 +4,7 @@ Testing a sample mean for difference from a "true" mean - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html index 2fdff60593..093216e84f 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html @@ -4,7 +4,7 @@ Comparing the means of two samples with the Students-t test - + diff --git a/doc/html/math_toolkit/t_test.html b/doc/html/math_toolkit/t_test.html index 818feae85f..248cbeadf7 100644 --- a/doc/html/math_toolkit/t_test.html +++ b/doc/html/math_toolkit/t_test.html @@ -4,7 +4,7 @@ t-tests - + diff --git a/doc/html/math_toolkit/threads.html b/doc/html/math_toolkit/threads.html index 1d11c3fe9d..790da205a8 100644 --- a/doc/html/math_toolkit/threads.html +++ b/doc/html/math_toolkit/threads.html @@ -4,7 +4,7 @@ Thread Safety - + diff --git a/doc/html/math_toolkit/tr1_ref.html b/doc/html/math_toolkit/tr1_ref.html index 5c108ed474..fca958773a 100644 --- a/doc/html/math_toolkit/tr1_ref.html +++ b/doc/html/math_toolkit/tr1_ref.html @@ -4,7 +4,7 @@ TR1 C Functions Quick Reference - + diff --git a/doc/html/math_toolkit/tradoffs.html b/doc/html/math_toolkit/tradoffs.html index aeada99560..d827c8d3cf 100644 --- a/doc/html/math_toolkit/tradoffs.html +++ b/doc/html/math_toolkit/tradoffs.html @@ -4,7 +4,7 @@ Trading Accuracy for Performance - + diff --git a/doc/html/math_toolkit/trans.html b/doc/html/math_toolkit/trans.html index a930d1d0d6..f5e10fae09 100644 --- a/doc/html/math_toolkit/trans.html +++ b/doc/html/math_toolkit/trans.html @@ -4,7 +4,7 @@ Quaternion Transcendentals - + diff --git a/doc/html/math_toolkit/trapezoidal.html b/doc/html/math_toolkit/trapezoidal.html index 42e5374ed5..6099925c73 100644 --- a/doc/html/math_toolkit/trapezoidal.html +++ b/doc/html/math_toolkit/trapezoidal.html @@ -4,7 +4,7 @@ Trapezoidal Quadrature - + diff --git a/doc/html/math_toolkit/tuning.html b/doc/html/math_toolkit/tuning.html index 459663cc63..175513a45d 100644 --- a/doc/html/math_toolkit/tuning.html +++ b/doc/html/math_toolkit/tuning.html @@ -4,7 +4,7 @@ Performance Tuning Macros - + diff --git a/doc/html/math_toolkit/tutorial.html b/doc/html/math_toolkit/tutorial.html index 6044e616b3..a1b46e4590 100644 --- a/doc/html/math_toolkit/tutorial.html +++ b/doc/html/math_toolkit/tutorial.html @@ -4,7 +4,7 @@ Tutorial - + diff --git a/doc/html/math_toolkit/tutorial/non_templ.html b/doc/html/math_toolkit/tutorial/non_templ.html index fe5512fdcb..4584c72b62 100644 --- a/doc/html/math_toolkit/tutorial/non_templ.html +++ b/doc/html/math_toolkit/tutorial/non_templ.html @@ -4,7 +4,7 @@ Use in non-template code - + diff --git a/doc/html/math_toolkit/tutorial/templ.html b/doc/html/math_toolkit/tutorial/templ.html index eb0dade584..536ea634f9 100644 --- a/doc/html/math_toolkit/tutorial/templ.html +++ b/doc/html/math_toolkit/tutorial/templ.html @@ -4,7 +4,7 @@ Use in template code - + diff --git a/doc/html/math_toolkit/tutorial/user_def.html b/doc/html/math_toolkit/tutorial/user_def.html index 103bc9cb54..08b87e24e4 100644 --- a/doc/html/math_toolkit/tutorial/user_def.html +++ b/doc/html/math_toolkit/tutorial/user_def.html @@ -4,7 +4,7 @@ Use With User-Defined Types - + diff --git a/doc/html/math_toolkit/ulps_plots.html b/doc/html/math_toolkit/ulps_plots.html index 268225d742..56f4fe0b5a 100644 --- a/doc/html/math_toolkit/ulps_plots.html +++ b/doc/html/math_toolkit/ulps_plots.html @@ -4,7 +4,7 @@ ULPs Plots - + diff --git a/doc/html/math_toolkit/univariate_statistics.html b/doc/html/math_toolkit/univariate_statistics.html index 18fa3560ba..0bcb5826ca 100644 --- a/doc/html/math_toolkit/univariate_statistics.html +++ b/doc/html/math_toolkit/univariate_statistics.html @@ -4,7 +4,7 @@ Univariate Statistics - + diff --git a/doc/html/math_toolkit/value_op.html b/doc/html/math_toolkit/value_op.html index 1b9c4c66fd..ee481dfbde 100644 --- a/doc/html/math_toolkit/value_op.html +++ b/doc/html/math_toolkit/value_op.html @@ -4,7 +4,7 @@ Quaternion Value Operations - + diff --git a/doc/html/math_toolkit/vector_barycentric.html b/doc/html/math_toolkit/vector_barycentric.html index ba1ddbd830..98fd7f7a98 100644 --- a/doc/html/math_toolkit/vector_barycentric.html +++ b/doc/html/math_toolkit/vector_barycentric.html @@ -4,7 +4,7 @@ Vector-valued Barycentric Rational Interpolation - + diff --git a/doc/html/math_toolkit/wavelet_transforms.html b/doc/html/math_toolkit/wavelet_transforms.html index a7c5ad84d8..de7266acfe 100644 --- a/doc/html/math_toolkit/wavelet_transforms.html +++ b/doc/html/math_toolkit/wavelet_transforms.html @@ -4,7 +4,7 @@ Wavelet Transforms - + diff --git a/doc/html/math_toolkit/whittaker_shannon.html b/doc/html/math_toolkit/whittaker_shannon.html index 1479be8523..67cd9b75c9 100644 --- a/doc/html/math_toolkit/whittaker_shannon.html +++ b/doc/html/math_toolkit/whittaker_shannon.html @@ -4,7 +4,7 @@ Whittaker-Shannon interpolation - + diff --git a/doc/html/math_toolkit/z_test.html b/doc/html/math_toolkit/z_test.html index 73c0c2bb2f..73aaec9926 100644 --- a/doc/html/math_toolkit/z_test.html +++ b/doc/html/math_toolkit/z_test.html @@ -4,7 +4,7 @@ z-tests - + diff --git a/doc/html/math_toolkit/zetas.html b/doc/html/math_toolkit/zetas.html index 47e96e5acc..6fe8b457cf 100644 --- a/doc/html/math_toolkit/zetas.html +++ b/doc/html/math_toolkit/zetas.html @@ -4,7 +4,7 @@ Zeta Functions - + diff --git a/doc/html/math_toolkit/zetas/zeta.html b/doc/html/math_toolkit/zetas/zeta.html index fee5f003db..d67595fe54 100644 --- a/doc/html/math_toolkit/zetas/zeta.html +++ b/doc/html/math_toolkit/zetas/zeta.html @@ -4,7 +4,7 @@ Riemann Zeta Function - + diff --git a/doc/html/octonions.html b/doc/html/octonions.html index 48d77f09d4..8b0ffdd6bc 100644 --- a/doc/html/octonions.html +++ b/doc/html/octonions.html @@ -4,8 +4,8 @@ Chapter 17. Octonions - - + + diff --git a/doc/html/overview.html b/doc/html/overview.html index 9dc6ddfbd0..078ae5c2a6 100644 --- a/doc/html/overview.html +++ b/doc/html/overview.html @@ -4,9 +4,9 @@ Chapter 1. Overview - - - + + + @@ -34,6 +34,7 @@
    Other Hints and tips
    Directory and File Structure
    Namespaces
    +
    Standalone Usage
    Calculation of the Type of the Result
    Error Handling
    diff --git a/doc/html/perf.html b/doc/html/perf.html index 933c825d6c..997cad7fdf 100644 --- a/doc/html/perf.html +++ b/doc/html/perf.html @@ -4,8 +4,8 @@ Chapter 22. Performance - - + + diff --git a/doc/html/policy.html b/doc/html/policy.html index 4fcc2ca145..8ec0597c54 100644 --- a/doc/html/policy.html +++ b/doc/html/policy.html @@ -4,8 +4,8 @@ Chapter 21. Policies: Controlling Precision, Error Handling etc - - + + diff --git a/doc/html/poly.html b/doc/html/poly.html index 1e154981c1..9af0070422 100644 --- a/doc/html/poly.html +++ b/doc/html/poly.html @@ -4,8 +4,8 @@ Chapter 11. Polynomials and Rational Functions - - + + diff --git a/doc/html/quadrature.html b/doc/html/quadrature.html index f19a0a6d78..b41bdfef25 100644 --- a/doc/html/quadrature.html +++ b/doc/html/quadrature.html @@ -4,8 +4,8 @@ Chapter 13. Quadrature and Differentiation - - + + diff --git a/doc/html/quaternions.html b/doc/html/quaternions.html index c75a730a13..7765a36291 100644 --- a/doc/html/quaternions.html +++ b/doc/html/quaternions.html @@ -4,8 +4,8 @@ Chapter 16. Quaternions - - + + diff --git a/doc/html/root_finding.html b/doc/html/root_finding.html index bd67796af7..46be64647e 100644 --- a/doc/html/root_finding.html +++ b/doc/html/root_finding.html @@ -4,8 +4,8 @@ Chapter 10. Root Finding & Minimization Algorithms - - + + diff --git a/doc/html/special.html b/doc/html/special.html index 814be1732f..a39a6cfe67 100644 --- a/doc/html/special.html +++ b/doc/html/special.html @@ -4,8 +4,8 @@ Chapter 8. Special Functions - - + + diff --git a/doc/html/standalone_HTML.manifest b/doc/html/standalone_HTML.manifest index 94eff5ee84..858b8e651d 100644 --- a/doc/html/standalone_HTML.manifest +++ b/doc/html/standalone_HTML.manifest @@ -6,6 +6,7 @@ math_toolkit/conventions.html math_toolkit/hints.html math_toolkit/directories.html math_toolkit/namespaces.html +math_toolkit/standalone.html math_toolkit/result_type.html math_toolkit/error_handling.html math_toolkit/compilers_overview.html diff --git a/doc/html/statistics.html b/doc/html/statistics.html index 154966c575..309c1972da 100644 --- a/doc/html/statistics.html +++ b/doc/html/statistics.html @@ -4,8 +4,8 @@ Chapter 6. Statistics - - + + diff --git a/doc/html/status.html b/doc/html/status.html index 79b2504113..4f26130c6a 100644 --- a/doc/html/status.html +++ b/doc/html/status.html @@ -4,8 +4,8 @@ Chapter 24. Library Status - - + + diff --git a/doc/html/using_udt.html b/doc/html/using_udt.html index 2874de87c3..ac2f067d5b 100644 --- a/doc/html/using_udt.html +++ b/doc/html/using_udt.html @@ -4,8 +4,8 @@ Chapter 20. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others - - + + diff --git a/doc/html/utils.html b/doc/html/utils.html index d097ec8fbd..d83cde7f46 100644 --- a/doc/html/utils.html +++ b/doc/html/utils.html @@ -4,8 +4,8 @@ Chapter 2. Floating Point Utilities - - + + diff --git a/doc/html/vector_functionals.html b/doc/html/vector_functionals.html index 3b8ca944ec..11466aec5e 100644 --- a/doc/html/vector_functionals.html +++ b/doc/html/vector_functionals.html @@ -4,8 +4,8 @@ Chapter 7. Vector Functionals - Norms - - + + diff --git a/doc/math.qbk b/doc/math.qbk index d5f1525e0f..8f16952545 100644 --- a/doc/math.qbk +++ b/doc/math.qbk @@ -9,7 +9,7 @@ ] [authors [Agrawal, Nikhar], [Bikineev, Anton], [Borland, Matthew], [Bristow, Paul A.], [Holin, Hubert], [Guazzone, Marco], [Kormanyos, Christopher], [Lalande, Bruno], [Maddock, John], [Miller, Evan], [Murphy, Jeremy W.], [Pulver, Matthew], [Råde, Johan], [Sobotta, Benjamin], [Sewani, Gautam], [Thompson, Nicholas], [van den Berg, Thijs], [Walker, Daryle], [Zhang, Xiaogang]] [/last-revision $Date$] - [version 3.0.0] + [version 3.1.0] ] [template mathpart[id title] @@ -554,6 +554,7 @@ and as a CD ISBN 0-9504833-2-X 978-0-9504833-2-0, Classification 519.2-dc22. [mathpart overview Overview] [include overview/overview.qbk] [include overview/structure.qbk] [/getting about, directory and file structure.] +[include overview/standalone.qbk] [include overview/result_type_calc.qbk] [include overview/error_handling.qbk] diff --git a/doc/overview/standalone.qbk b/doc/overview/standalone.qbk new file mode 100644 index 0000000000..135aff30ef --- /dev/null +++ b/doc/overview/standalone.qbk @@ -0,0 +1,29 @@ +[section:standalone Standalone Usage] + +This library is able to be used completely standalone - which is to say without any of the rest of the Boost libraries present on your system. +In order to do this you must either: + +* Be using a compiler which supports `__has_include()` in which case the presence or absence of the other Boost libraries is determined automatically, and/or: +* Define `BOOST_MATH_STANDALONE` on the compiler command line. This will force the library into standalone mode even when other Boost headers are present. + +Note that once the library is in standalone mode, you must have a conforming C++11 compiler as no allowances will be made for possible compiler defects +which would otherwise be detected by Boost.Config. In addition, if you use a section of the library which makes (possibly optionsal) use of features from +later C++ standards, then support for that later standard version becomes pretty much mandatory. In other words, if you hit issues, try upping your compiler's +conformance level to C++17 if you can. + +Latest tarballs of this library can be obtained from: + +Latest [@https://github.com/boostorg/math/releases official releases] (including full Boost releases). + +[@https://github.com/boostorg/math/archive/refs/heads/master.zip Latest stable code] (master branch). + +[@https://github.com/boostorg/math/archive/refs/heads/develop.zip Latest bleeding edge code] (develop branch). + +[endsect] [/section:standalone] + +[/ + Copyright 2006 John Maddock and Paul A. Bristow. + Distributed under the Boost Software License, Version 1.0. + (See accompanying file LICENSE_1_0.txt or copy at + http://www.boost.org/LICENSE_1_0.txt). +] From 37e48d03e3ba95e8ae8feb7fbfe9ed8ae50fee06 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Sun, 4 Jul 2021 17:26:02 +0300 Subject: [PATCH 07/21] Fix warning in naive monte carlo include test --- test/compile_test/quad_naive_monte_carlo_incl_test.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/test/compile_test/quad_naive_monte_carlo_incl_test.cpp b/test/compile_test/quad_naive_monte_carlo_incl_test.cpp index 505a1b6f41..f02fdde2fb 100644 --- a/test/compile_test/quad_naive_monte_carlo_incl_test.cpp +++ b/test/compile_test/quad_naive_monte_carlo_incl_test.cpp @@ -17,7 +17,7 @@ using boost::math::quadrature::naive_monte_carlo; void compile_and_link_test() { - auto g = [&](std::vector const & x) + auto g = [&](std::vector const &) { return 1.873; }; From eba915ae1e69722db28f0f4e654c036dc99362b4 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Sun, 4 Jul 2021 12:35:59 -0500 Subject: [PATCH 08/21] Add GCC11 to CI (#654) * Add GCC11 to CI * Change std::views to std::ranges::views * Remove g++5 and clang-5. Remove testing of ranges in GCC11 --- .github/workflows/ci.yml | 8 ++++---- test/test_hyperexponential_dist.cpp | 7 +++++-- 2 files changed, 9 insertions(+), 6 deletions(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index c4831831ee..9a6ad55992 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -18,7 +18,7 @@ jobs: strategy: fail-fast: false matrix: - compiler: [ g++-9, g++-10, clang++-10 ] + compiler: [ g++-9, g++-10, g++-11, clang++-10 ] standard: [ c++11, c++14, c++17, c++2a ] suite: [ float128_tests, special_fun, distribution_tests, misc, quadrature, mp, interpolators, autodiff, ../example//examples, ../tools ] steps: @@ -47,7 +47,7 @@ jobs: if: steps.retry1.outcome=='failure' run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" - name: Install packages - run: sudo apt install g++-9 g++-10 clang-9 clang-10 libgmp-dev libmpfr-dev libfftw3-dev + run: sudo apt install g++-9 g++-10 g++-11 clang-9 clang-10 libgmp-dev libmpfr-dev libfftw3-dev - name: Checkout main boost run: git clone -b develop --depth 1 https://github.com/boostorg/boost.git ../boost-root - name: Update tools/boostdep @@ -82,7 +82,7 @@ jobs: strategy: fail-fast: false matrix: - compiler: [ g++-5, g++-6, clang++-5.0, clang++-6.0, g++-7, g++-8, clang++-7, clang++-8 ] + compiler: [ g++-6, clang++-6.0, g++-7, g++-8, clang++-7, clang++-8 ] standard: [ c++11, c++14, c++17 ] suite: [ float128_tests, special_fun, distribution_tests, misc, quadrature, mp, interpolators, autodiff, ../example//examples, ../tools ] steps: @@ -111,7 +111,7 @@ jobs: if: steps.retry1.outcome=='failure' run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" - name: Install packages - run: sudo apt install g++-5 g++-6 g++-7 g++-8 clang-5.0 clang-6.0 clang-7 clang-8 libgmp-dev libmpfr-dev libfftw3-dev + run: sudo apt install g++-6 g++-7 g++-8 clang-6.0 clang-7 clang-8 libgmp-dev libmpfr-dev libfftw3-dev - name: Checkout main boost run: git clone -b develop --depth 1 https://github.com/boostorg/boost.git ../boost-root - name: Update tools/boostdep diff --git a/test/test_hyperexponential_dist.cpp b/test/test_hyperexponential_dist.cpp index 13843a3bf8..1f6562c4d2 100644 --- a/test/test_hyperexponential_dist.cpp +++ b/test/test_hyperexponential_dist.cpp @@ -389,6 +389,8 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(error_cases, RealT, test_types) // Test C++20 ranges (Currently only GCC10 has full support to P0896R4) #if (__cplusplus > 202000L || _MSVC_LANG > 202000L) && __has_include() && __GNUC__ >= 10 + // Support for ranges is broken using gcc 11.1 + #if __GNUC__ != 11 #include #include @@ -396,9 +398,10 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(error_cases, RealT, test_types) std::array rates_array {1,2,3}; BOOST_MATH_CHECK_THROW(dist_t(std::ranges::begin(probs_array), std::ranges::end(probs_array), std::ranges::begin(rates_array), std::ranges::end(rates_array)), std::domain_error); - const auto probs_range = probs_array | std::views::all; - const auto rates_range = rates_array | std::views::all; + const auto probs_range = probs_array | std::ranges::views::all; + const auto rates_range = rates_array | std::ranges::views::all; BOOST_MATH_CHECK_THROW(dist_t(probs_range, rates_range), std::domain_error); #endif + #endif } From fab3df9592691a0f7f7bee96567e4794d6efa383 Mon Sep 17 00:00:00 2001 From: Jan Blumschein Date: Mon, 5 Jul 2021 23:20:58 +0200 Subject: [PATCH 09/21] nonfinite_num_get facet fix: honour "legacy" flag to enable "nanq" and "nans" (#640) Fix 16c57be3 "Fixes for compile tests" (make compiler happy, but lose flag semantics) as well as the original implementation from e3e838da (obvious intention, but wrong operator). --- include/boost/math/special_functions/nonfinite_num_facets.hpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/boost/math/special_functions/nonfinite_num_facets.hpp b/include/boost/math/special_functions/nonfinite_num_facets.hpp index 81a552dc87..4ff702b308 100644 --- a/include/boost/math/special_functions/nonfinite_num_facets.hpp +++ b/include/boost/math/special_functions/nonfinite_num_facets.hpp @@ -414,7 +414,7 @@ namespace boost { switch(peek_char(it, end, ct)) { case 'q': case 's': - if(flags_) + if(flags_ & legacy) ++it; break; // "nanq", "nans" From 9bd0f5631a4e175db9bed60710f32045e9323a1f Mon Sep 17 00:00:00 2001 From: Matheus Castanho Date: Wed, 7 Jul 2021 16:10:34 -0300 Subject: [PATCH 10/21] Fix build on platforms with "double-double" long double type MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Since commit 01f3b7d7721fd most tests started to fail on platforms that use a "double-double" for long double, like powerpc64le: ../../../boost/math/tools/precision.hpp:148:137: error: expected primary-expression before ‘long’ 148 | inline constexpr long double epsilon(const std::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(long double)) noexcept(long double) ../../../boost/math/tools/precision.hpp:148:137: error: expected ‘)’ before ‘long’ 148 | inline constexpr long double epsilon(const std::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(long double)) noexcept(long double) ../../../boost/math/tools/precision.hpp:148:137: error: expected initializer before ‘long’ 148 | inline constexpr long double epsilon(const std::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(long double)) noexcept(long double) Fix this by replacing the noexcept expression with the contents of BOOST_MATH_NOEXCEPT, which was the intention of commit 01f3b7d7721fd. --- include/boost/math/tools/precision.hpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/boost/math/tools/precision.hpp b/include/boost/math/tools/precision.hpp index f0a4c80a0c..1bc35d9ae1 100644 --- a/include/boost/math/tools/precision.hpp +++ b/include/boost/math/tools/precision.hpp @@ -145,7 +145,7 @@ inline constexpr T epsilon(const std::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMP #if defined(__GNUC__) && ((LDBL_MANT_DIG == 106) || (__LDBL_MANT_DIG__ == 106)) template <> -inline constexpr long double epsilon(const std::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(long double)) noexcept(long double) +inline constexpr long double epsilon(const std::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(long double)) noexcept(std::is_floating_point::value) { // numeric_limits on Darwin (and elsewhere) tells lies here: // the issue is that long double on a few platforms is From 5f54d7df9aa74658230d8d0bba27e73da814edc0 Mon Sep 17 00:00:00 2001 From: Daniel Scharrer Date: Wed, 28 Jul 2021 19:56:31 +0200 Subject: [PATCH 11/21] Fix #include inside boost namespace The existing code fails to build if was not already included. --- include/boost/math/tools/mp.hpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/boost/math/tools/mp.hpp b/include/boost/math/tools/mp.hpp index 35565646fe..dc8440988b 100644 --- a/include/boost/math/tools/mp.hpp +++ b/include/boost/math/tools/mp.hpp @@ -13,6 +13,7 @@ #include #include +#include namespace boost { namespace math { namespace tools { namespace meta_programming { @@ -338,7 +339,6 @@ using mp_remove_if_q = mp_remove_if; // Index sequence // Use C++14 index sequence if available #if defined(__cpp_lib_integer_sequence) && (__cpp_lib_integer_sequence >= 201304) -#include template using index_sequence = std::index_sequence; From 90f102ac148745317f992ebcfd0598cbacb2a1dd Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Mon, 2 Aug 2021 18:33:03 +0100 Subject: [PATCH 12/21] Fix duplicate typedef in mp.hpp --- include/boost/math/tools/mp.hpp | 3 --- 1 file changed, 3 deletions(-) diff --git a/include/boost/math/tools/mp.hpp b/include/boost/math/tools/mp.hpp index dc8440988b..3100a0bb67 100644 --- a/include/boost/math/tools/mp.hpp +++ b/include/boost/math/tools/mp.hpp @@ -426,9 +426,6 @@ struct make_integer_sequence_impl template using make_integer_sequence = typename detail::make_integer_sequence_impl::type; -template -using index_sequence = integer_sequence; - template using make_index_sequence = make_integer_sequence; From 5222ce249c814025773a63e0d64f55a0cc063bdf Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sat, 12 Mar 2022 16:02:18 +0000 Subject: [PATCH 13/21] Regenerate docs, add missing files. [CI SKIP] --- doc/html/index.html | 2 +- doc/html/indexes/s01.html | 2 +- doc/html/indexes/s02.html | 2 +- doc/html/indexes/s03.html | 2 +- doc/html/indexes/s04.html | 2 +- doc/html/indexes/s05.html | 2 +- doc/html/math_toolkit/conventions.html | 2 +- .../math_toolkit/internals/color_maps.html | 170 ++++++++++++++++++ doc/html/math_toolkit/navigation.html | 2 +- doc/html/math_toolkit/powers/logaddexp.html | 166 +++++++++++++++++ doc/html/math_toolkit/quartic_roots.html | 88 +++++++++ 11 files changed, 432 insertions(+), 8 deletions(-) create mode 100644 doc/html/math_toolkit/internals/color_maps.html create mode 100644 doc/html/math_toolkit/powers/logaddexp.html create mode 100644 doc/html/math_toolkit/quartic_roots.html diff --git a/doc/html/index.html b/doc/html/index.html index 42df72f19c..8d51e7ffed 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -134,7 +134,7 @@

    - +

    Last revised: March 08, 2022 at 16:03:29 GMT

    Last revised: March 12, 2022 at 15:44:15 GMT


    diff --git a/doc/html/indexes/s01.html b/doc/html/indexes/s01.html index 616dcb9112..9565662656 100644 --- a/doc/html/indexes/s01.html +++ b/doc/html/indexes/s01.html @@ -24,7 +24,7 @@

    -Function Index

    +Function Index

    1 2 4 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

    diff --git a/doc/html/indexes/s02.html b/doc/html/indexes/s02.html index 0580ea017c..cc8984f38d 100644 --- a/doc/html/indexes/s02.html +++ b/doc/html/indexes/s02.html @@ -24,7 +24,7 @@

    -Class Index

    +Class Index

    A B C D E F G H I K L M N O P Q R S T U V W

    diff --git a/doc/html/indexes/s03.html b/doc/html/indexes/s03.html index f9cd0c9105..b656b949f4 100644 --- a/doc/html/indexes/s03.html +++ b/doc/html/indexes/s03.html @@ -24,7 +24,7 @@

    -Typedef Index

    +Typedef Index

    A B C D E F G H I K L N P R S T U V W

    diff --git a/doc/html/indexes/s04.html b/doc/html/indexes/s04.html index 4f65f61b4f..3c5f6a5f41 100644 --- a/doc/html/indexes/s04.html +++ b/doc/html/indexes/s04.html @@ -24,7 +24,7 @@

    -Macro Index

    +Macro Index

    B F

    diff --git a/doc/html/indexes/s05.html b/doc/html/indexes/s05.html index 9fba74a987..e808a68a15 100644 --- a/doc/html/indexes/s05.html +++ b/doc/html/indexes/s05.html @@ -23,7 +23,7 @@

    -Index

    +Index

    1 2 4 5 7 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

    diff --git a/doc/html/math_toolkit/conventions.html b/doc/html/math_toolkit/conventions.html index e725bfc12d..11f88a46b7 100644 --- a/doc/html/math_toolkit/conventions.html +++ b/doc/html/math_toolkit/conventions.html @@ -27,7 +27,7 @@ Document Conventions

    - +

    This documentation aims to use of the following naming and formatting conventions. diff --git a/doc/html/math_toolkit/internals/color_maps.html b/doc/html/math_toolkit/internals/color_maps.html new file mode 100644 index 0000000000..febbba1212 --- /dev/null +++ b/doc/html/math_toolkit/internals/color_maps.html @@ -0,0 +1,170 @@ + + + +Color Maps + + + + + + + + + + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +


    +
    +PrevUpHomeNext +
    +
    + +
    + + Synopsis +
    +
    #include <boost/math/tools/color_maps.hpp>
    +
    +namespace boost::math::tools {
    +
    +template<typename Real>
    +std::array<Real, 3> viridis(Real x);
    +
    +template<typename Real>
    +std::array<Real, 3> plasma(Real x);
    +
    +template<typename Real>
    +std::array<Real, 3> black_body(Real x);
    +
    +template<typename Real>
    +std::array<Real, 3> inferno(Real x);
    +
    +template<typename Real>
    +std::array<Real, 3> smooth_cool_warm(Real x);
    +
    +template<typename Real>
    +std::array<Real, 3> kindlmann(Real x);
    +
    +template<typename Real>
    +std::array<Real, 3> extended_kindlmann(Real x);
    +
    +template<typename Real>
    +std::array<uint8_t, 4> to_8bit_rgba(std::array<Real, 3> const & color);
    +
    +} // namespaces
    +
    +
    + + Description +
    +

    + Abstractly, a color map is any function which maps [0, 1] -> [0, 1]^3. + As stated, this definition is too broad to be useful, so in Boost, we restrict + our attention to the subset of color maps which are useful for the understanding + of scientific data. Much + research has demonstrated that color maps differ wildly in their + usefulness for interpreting quantitative data; see here + for details. In addition, different color maps are useful in different contexts. + For example, the smooth_cool_warm + color map is useful for examining surfaces embedded in 3-space which have + scalar fields defined on them, whereas the inferno + color map is better for understanding 2D data. +

    +

    + Despite the fact that a color map, per our definition, has a domain of [0, + 1], we nonetheless do not throw an exception if the value provided falls + outside this range. This is for two reasons: First, visualizations are themselves + amazing debuggers, and if we threw an exception the calculation would not + complete and visual debugging would be inaccessible. Second, often small + changes in floating point rounding cause the value provided to be only slightly + below zero, or just slightly above 1. Hence, we make a call to std::clamp + before interpolating into the color table. +

    +

    + For an example of how to use these facilites please refer to example/color_maps_example.cpp Note: To compile the examples directly + you will need to have lodepng. + An example of the viridis color map using the + newton fractal is shown below: +

    +

    + +

    +

    + Swatches of each are listed below: +

    +

    + +

    +
    • + Smooth cool warm* +
    +

    + +

    +
    • + Viridis* +
    +

    + +

    +
    • + Plasma* +
    +

    + +

    +
    • + Black body* +
    +

    + +

    +
    • + Inferno* +
    +

    + +

    +
    • + Kindlmann* +
    +

    + +

    +
    • + Extended Kindlmann* +
    +
    + + References +
    +
    • + Ken Moreland. Why We Use Bad Color Maps and What You Can Do + About it . +
    +
    + + + +
    +
    +
    +PrevUpHomeNext +
    + + diff --git a/doc/html/math_toolkit/navigation.html b/doc/html/math_toolkit/navigation.html index a3f71c46c9..c874d6c9a8 100644 --- a/doc/html/math_toolkit/navigation.html +++ b/doc/html/math_toolkit/navigation.html @@ -27,7 +27,7 @@ Navigation

    - +

    Boost.Math documentation is provided in both HTML and PDF formats. diff --git a/doc/html/math_toolkit/powers/logaddexp.html b/doc/html/math_toolkit/powers/logaddexp.html new file mode 100644 index 0000000000..774cac6606 --- /dev/null +++ b/doc/html/math_toolkit/powers/logaddexp.html @@ -0,0 +1,166 @@ + + + +logaddexp and logsumexp + + + + + + + + + + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +


    +
    +PrevUpHomeNext +
    +
    + +
    + + Synopsis +
    +
    #include <boost/math/special_functions/logaddexp.hpp>
    +
    +namespace boost { namespace math {
    +
    +template <typename Real>
    +Real logaddexp (Real x1, Real x2);
    +
    +}} // namespaces
    +
    +#include <boost/math/special_functions/logsumexp.hpp>
    +
    +namespace boost { namespace math {
    +
    +template <typename ForwardIterator, typename Real = std::iterator_traits<ForwardIterator>::value_type>
    +Real logsumexp (ForwardIterator first, ForwardIterator last);
    +
    +template <typename ForwardContainer, typename Real = ForwardContainer::value_type>
    +Real logsumexp (const ForwardContainer& c);
    +
    +template <typename... Args, typename Real = typename std::common_type<Args...>::type>
    +Real logsumexp(Args&& ...args)
    +
    +}} // namespace
    +
    +

    + The function logaddexp(x1, x2) computes log(exp(x1) + exp(x2)). The function + logsumexp(x1, x2, ...) is + generalized to compute log(exp(x1) + exp(x2) + ...). This function is useful + in statistics where the calculated probabilities of events may be so small + as to exceed the range of normal floating point numbers. In such cases the + logarithm of the calculated probability is stored. +

    +

    + The use is +

    +
    using std::log;
    +
    +double x1 = log(1e-50);
    +double x2 = log(2.5e-50);
    +double x3 = log(3e-50);
    +std::vector<double> x = {x1, x2, x3};
    +
    +double probability1 = boost::math::logaddexp(x1, x2);
    +double probability2 = boost::math::logsumexp(x1, x2, x3);
    +double probability3 = boost::math::logsumexp(x);
    +double probability4 = boost::math::logsumexp(x.begin(), x.end());
    +
    +

    + Performance Data: +

    +
    Running ./logaddexp_performance
    +Run on Apple M1 Pro
    +CPU Caches:
    +  L1 Data 64 KiB (x10)
    +  L1 Instruction 128 KiB (x10)
    +  L2 Unified 4096 KiB (x5)
    +Load Average: 2.23, 1.89, 1.88
    +-----------------------------------------------------------------------------
    +Benchmark                                   Time             CPU   Iterations
    +-----------------------------------------------------------------------------
    +logaddexp_performance<float>             1.05 ns         1.05 ns    597983940
    +logaddexp_performance<double>            1.03 ns         1.03 ns    672682369
    +
    +
    Running ./logsumexp_performance
    +Run on Apple M1 Pro
    +CPU Caches:
    +  L1 Data 64 KiB (x10)
    +  L1 Instruction 128 KiB (x10)
    +  L2 Unified 4096 KiB (x5)
    +Load Average: 1.56, 1.67, 1.81
    +-----------------------------------------------------------------------------------------------
    +Benchmark                                                     Time             CPU   Iterations
    +-----------------------------------------------------------------------------------------------
    +logsumexp_performance<float>/64/real_time                   388 ns          388 ns      1797191
    +logsumexp_performance<float>/128/real_time                  761 ns          761 ns       890017
    +logsumexp_performance<float>/256/real_time                 1513 ns         1513 ns       460217
    +logsumexp_performance<float>/512/real_time                 3026 ns         3026 ns       231454
    +logsumexp_performance<float>/1024/real_time                6043 ns         6043 ns       113901
    +logsumexp_performance<float>/2048/real_time               12084 ns        12084 ns        57590
    +logsumexp_performance<float>/4096/real_time               24240 ns        24240 ns        28835
    +logsumexp_performance<float>/8192/real_time               48326 ns        48323 ns        14478
    +logsumexp_performance<float>/16384/real_time              96645 ns        96642 ns         7181
    +logsumexp_performance<float>/32768/real_time             193351 ns       193351 ns         3607
    +logsumexp_performance<float>/65536/real_time             386537 ns       386538 ns         1810
    +logsumexp_performance<float>/131072/real_time            774055 ns       774056 ns          894
    +logsumexp_performance<float>/262144/real_time           1548913 ns      1548847 ns          451
    +logsumexp_performance<float>/524288/real_time           3092771 ns      3092770 ns          226
    +logsumexp_performance<float>/1048576/real_time          6188087 ns      6188089 ns          112
    +logsumexp_performance<float>/real_time_BigO                5.90 N          5.90 N
    +logsumexp_performance<float>/real_time_RMS                    0 %             0 %
    +logsumexp_performance<double>/64/real_time                  388 ns          388 ns      1806669
    +logsumexp_performance<double>/128/real_time                 770 ns          770 ns       898340
    +logsumexp_performance<double>/256/real_time                1534 ns         1534 ns       454768
    +logsumexp_performance<double>/512/real_time                3063 ns         3063 ns       228057
    +logsumexp_performance<double>/1024/real_time               6126 ns         6126 ns       112667
    +logsumexp_performance<double>/2048/real_time              12243 ns        12243 ns        56963
    +logsumexp_performance<double>/4096/real_time              24476 ns        24476 ns        28485
    +logsumexp_performance<double>/8192/real_time              48979 ns        48978 ns        14215
    +logsumexp_performance<double>/16384/real_time             97929 ns        97929 ns         7070
    +logsumexp_performance<double>/32768/real_time            195826 ns       195826 ns         3560
    +logsumexp_performance<double>/65536/real_time            391855 ns       391835 ns         1787
    +logsumexp_performance<double>/131072/real_time           784119 ns       784110 ns          882
    +logsumexp_performance<double>/262144/real_time          1566408 ns      1566386 ns          446
    +logsumexp_performance<double>/524288/real_time          3151649 ns      3150955 ns          223
    +logsumexp_performance<double>/1048576/real_time         6300578 ns      6299027 ns          110
    +logsumexp_performance<double>/real_time_BigO               6.01 N          6.01 N
    +
    +
    + + References +
    +
    +
    + + + +
    +
    +
    +PrevUpHomeNext +
    + + diff --git a/doc/html/math_toolkit/quartic_roots.html b/doc/html/math_toolkit/quartic_roots.html new file mode 100644 index 0000000000..8cccd2d1ab --- /dev/null +++ b/doc/html/math_toolkit/quartic_roots.html @@ -0,0 +1,88 @@ + + + +Roots of Quartic Polynomials + + + + + + + + + + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +
    +
    +PrevUpHomeNext +
    +
    + +

    + + Synopsis +

    +
    #include <boost/math/roots/quartic_roots.hpp>
    +
    +namespace boost::math::tools {
    +
    +// Solves ax⁴ + bx³ + cx² + dx + e = 0.
    +std::array<Real,3> quartic_roots(Real a, Real b, Real c, Real d, Real e);
    +
    +}
    +
    +

    + + Background +

    +

    + The quartic_roots function + extracts all real roots of a quartic polynomial ax⁴+ bx³ + cx² + dx + e. + The result is a std::array<Real, 4>, which has length four, irrespective of + the number of real roots the polynomial possesses. (This is to prevent the + performance overhead of allocating a vector, which often exceeds the time to + extract the roots.) The roots are returned in nondecreasing order. If a root + is complex, then it is placed at the back of the array and set to a nan. +

    +

    + The algorithm uses the classical method of Ferrari, and follows Graphics + Gems V, with an additional Halley iterate for root polishing. A typical + use of a quartic real-root solver is to raytrace a torus. +

    +

    + + Performance + and Accuracy +

    +

    + On a consumer laptop, we observe extraction of the roots taking ~90ns. The + file reporting/performance/quartic_roots_performance.cpp allows determination of the speed on + your system. +

    +
    + + + +
    +
    +
    +PrevUpHomeNext +
    + + From 2b9927871fd86312f753e4bcbdb82236022c5856 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Thu, 10 Mar 2022 19:33:51 +0000 Subject: [PATCH 14/21] Added further color table example. --- doc/images/extended_kindlmann_1F1.png | Bin 0 -> 305902 bytes doc/internals/color_maps.qbk | 7 +- example/color_maps_sf_example.cpp | 606 ++++++++++++++++++++++++++ 3 files changed, 612 insertions(+), 1 deletion(-) create mode 100644 doc/images/extended_kindlmann_1F1.png create mode 100644 example/color_maps_sf_example.cpp diff --git a/doc/images/extended_kindlmann_1F1.png b/doc/images/extended_kindlmann_1F1.png new file mode 100644 index 0000000000000000000000000000000000000000..5780e2a8c4ad3c3f26bf664e1c1e060dafa5d4cc GIT binary patch literal 305902 zcmeFZbyQVb+djMj0cinAX%tYpJEReily2B`cSxh6AYDo+jg+8tsx%1F-QC^w&BZy- zd7pRu-tm3o9pn4`_i%9U-xxgbL(5>=Q3F6r06gh3`}OT&=vjgM3mg=08wYJ+yytztvAvG~K_e=|+0S0zZ*{<^t4{*p~(Slrh~ zij9&>7kv(WI_cT$jWUeqy}Cag!crRjuaCSI`W;w9b}lZ`cgQwYqHm7Q{3c)0p4%NA 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"lodepng.h" +#include +#include +#include +#include + +// In lodepng, the vector is expected to be row major, with the top row +// specified first. Note that this is a bit confusing sometimes as it's more +// natural to let y increase moving *up*. +unsigned write_png(const std::string& filename, + const std::vector& img, std::size_t width, + std::size_t height) { + unsigned error = lodepng::encode(filename, img, width, height, + LodePNGColorType::LCT_RGBA, 8); + if (error) { + std::cerr << "Error encoding png: " << lodepng_error_text(error) << "\n"; + } + return error; +} + +double hypergeometric_1F1_at_half(double x, double y) +{ + try + { + return boost::math::hypergeometric_1F1(x, y, -3.5); + } + catch (const std::domain_error&) + { + return 0; + } +} + +void show_help() +{ + std::cout << + "The following command line options are supported:\n" + " gamma_p|gamma_q|gamma_p_inv|gamma_q_inv|cyl_bessel_j|cyl_neumann|cyl_bessel_i|cyl_bessel_k\n" + " |cyl_bessel_d|ellint_1|ellint_2|ellint_3|jacobi_zeta|heuman_lambda|jacobi_theta1|1F1\n" + " Sets the function to be plotted.\n" + " Note that the defaults for the options below change depending on the function selected here,\n" + " so set this option first, and then fine tune with the following options:\n" + " smooth_cool_warm|plasma|black_body|inferno|kindlmann|extended_kindlmann\n" + " Sets the color map used.\n" + " width=XX\n" + " height=XX\n" + " Sets the width and height of the bitmap.\n" + " x_min=XX\n" + " x_max=XX\n" + " y_min=XX\n" + " y_max=XX\n" + " Sets the extent of the x and y variables passed to the function.\n" + " log=false|true|0|1\n" + " Turns logarithmic scale on or off (default off)\n"; +} + +int main(int argc, char** argv) +{ + using Real = double; + using boost::math::tools::viridis; + using std::sqrt; + + std::function(Real)> color_map = viridis; + std::string requested_color_map = "viridis"; + std::string function_name = "gamma_p"; + int64_t image_width = 1024; + int64_t image_height = 1024; + + double x_min{ 0.001 }, x_max{ 20 }; + double y_min{ 0.001 }, y_max{ 20 }; + + Real(*the_function)(Real, Real) = boost::math::gamma_p; + bool log_scale = false; + bool debug = false; + + for(unsigned i = 1; i < argc; ++i) + { + std::string arg = std::string(argv[i]); + if (arg == "smooth_cool_warm") { + requested_color_map = arg; + color_map = boost::math::tools::smooth_cool_warm; + } + else if (arg == "plasma") { + requested_color_map = arg; + color_map = boost::math::tools::plasma; + } + else if (arg == "black_body") { + requested_color_map = arg; + color_map = boost::math::tools::black_body; + } + else if (arg == "inferno") { + requested_color_map = arg; + color_map = boost::math::tools::inferno; + } + else if (arg == "kindlmann") { + requested_color_map = arg; + color_map = boost::math::tools::kindlmann; + } + else if (arg == "extended_kindlmann") { + requested_color_map = arg; + color_map = boost::math::tools::extended_kindlmann; + } + else if (arg.compare(0, 6, "width=") == 0) + { + image_width = std::strtol(arg.c_str() + 6, nullptr, 10); + } + else if (arg.compare(0, 7, "height=") == 0) + { + image_height = std::strtol(arg.c_str() + 7, nullptr, 10); + } + else if (arg.compare(0, 6, "x_min=") == 0) + { + x_min = std::strtod(arg.c_str() + 6, nullptr); + } + else if (arg.compare(0, 6, "x_max=") == 0) + { + x_max = std::strtod(arg.c_str() + 6, nullptr); + } + else if (arg.compare(0, 6, "y_min=") == 0) + { + y_min = std::strtod(arg.c_str() + 6, nullptr); + } + else if (arg.compare(0, 6, "y_max=") == 0) + { + y_max = std::strtod(arg.c_str() + 6, nullptr); + } + else if (arg == "log=1") + { + log_scale = true; + } + else if (arg == "log=0") + { + log_scale = false; + } + else if (arg == "log=true") + { + log_scale = true; + } + else if (arg == "log=false") + { + log_scale = false; + } + else if (arg == "debug") + { + debug = true; + } + else if (arg == "gamma_p") + { + the_function = boost::math::gamma_p; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default gamma_p color map to extended_kindlmann" << std::endl; + requested_color_map = "extended_kindlmann"; + color_map = boost::math::tools::extended_kindlmann; + } + } + else if (arg == "gamma_q") + { + the_function = boost::math::gamma_q; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default gamma_p color map to extended_kindlmann" << std::endl; + requested_color_map = "extended_kindlmann"; + color_map = boost::math::tools::extended_kindlmann; + } + } + else if (arg == "gamma_p_inv") + { + the_function = boost::math::gamma_p_inv; + function_name = arg; + if (y_max > 1) + { + std::cout << "Setting y range to [0.01, 0.99] for gamma_p_inv" << std::endl; + y_min = 0.01; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default gamma_p_inv color map to inferno" << std::endl; + requested_color_map = "inferno"; + color_map = boost::math::tools::inferno; + } + } + else if (arg == "gamma_q_inv") + { + the_function = boost::math::gamma_q_inv; + function_name = arg; + if (y_max > 1) + { + std::cout << "Setting y range to [0.01, 0.99] for gamma_p_inv" << std::endl; + y_min = 0.01; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default gamma_p_inv color map to inferno" << std::endl; + requested_color_map = "inferno"; + color_map = boost::math::tools::inferno; + } + } + else if (arg == "beta") + { + the_function = boost::math::beta; + function_name = arg; + if (log_scale == false) + { + std::cout << "Setting log scale to true for beta" << std::endl; + log_scale = true; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default beta color map to smooth_cool_warm" << std::endl; + requested_color_map = "smooth_cool_warm"; + color_map = boost::math::tools::smooth_cool_warm; + } + } + else if (arg == "cyl_bessel_j") + { + the_function = boost::math::cyl_bessel_j; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default beta color map to smooth_cool_warm" << std::endl; + requested_color_map = "smooth_cool_warm"; + color_map = boost::math::tools::smooth_cool_warm; + } + } + else if (arg == "cyl_neumann") + { + the_function = boost::math::cyl_neumann; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default cyl_neumann color map to black_body" << std::endl; + requested_color_map = "black_body"; + color_map = boost::math::tools::black_body; + } + if (x_max > 1.5) + { + std::cout << "Setting cyl_neumann default x range to [0.5,1.5]" << std::endl; + x_min = 0.5; + x_max = 1.5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for cyl_neumann" << std::endl; + log_scale = true; + } + } + else if (arg == "cyl_bessel_i") + { + the_function = boost::math::cyl_bessel_i; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default cyl_bessel_i color map to black_body" << std::endl; + requested_color_map = "black_body"; + color_map = boost::math::tools::black_body; + } + if (x_max > 1.5) + { + std::cout << "Setting cyl_bessel_i default x range to [0.5,1.5]" << std::endl; + x_min = 0.5; + x_max = 1.5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for cyl_bessel_i" << std::endl; + log_scale = true; + } + } + else if (arg == "cyl_bessel_k") + { + the_function = boost::math::cyl_bessel_k; + function_name = arg; + if (requested_color_map == "viridis") + { + std::cout << "Setting default cyl_bessel_k color map to plasma" << std::endl; + requested_color_map = "plasma"; + color_map = boost::math::tools::plasma; + } + if (x_max > 1.5) + { + std::cout << "Setting cyl_bessel_k default x range to [0,5]" << std::endl; + x_min = 0.01; + x_max = 5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for cyl_bessel_k" << std::endl; + log_scale = true; + } + } + else if (arg == "cyl_bessel_d") + { + the_function = boost::math::cyl_bessel_k; + function_name = arg; + if (log_scale == false) + { + std::cout << "Turning on log scale for cyl_bessel_d" << std::endl; + log_scale = true; + } + } + else if (arg == "ellint_1") + { + the_function = boost::math::ellint_1; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting ellint_1 x range to [0, 1]" << std::endl; + x_max = 1; + } + if (y_max >= 20) + { + std::cout << "Setting ellint_1 y range to [0, 1.5]" << std::endl; + x_max = 1.5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for ellint_1" << std::endl; + log_scale = true; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default ellint_1 color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "ellint_2") + { + the_function = boost::math::ellint_2; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting ellint_2 x range to [-1, 1]" << std::endl; + x_max = 1; + x_min = -1; + } + if (y_max >= 20) + { + std::cout << "Setting ellint_2 y range to [0, 1.5]" << std::endl; + y_max = 1.5; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for ellint_2" << std::endl; + log_scale = true; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default ellint_1 color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "ellint_3") + { + the_function = boost::math::ellint_3; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting ellint_3 x range to [-0.99, 0.99]" << std::endl; + x_max = 0.99; + x_min = -0.99; + } + if (y_max >= 20) + { + std::cout << "Setting ellint_3 y range to [0, 1]" << std::endl; + y_max = 1; + } + if (log_scale == false) + { + std::cout << "Turning on log scale for ellint_3" << std::endl; + log_scale = true; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default ellint_3 color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "jacobi_zeta") + { + the_function = boost::math::jacobi_zeta; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting jacobi_zeta x range to [-0.99, 0.99]" << std::endl; + x_max = 0.99; + x_min = -0.99; + } + if (y_max >= 20) + { + std::cout << "Setting jacobi_zeta y range to [0, 1]" << std::endl; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default jacobi_zeta color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "heuman_lambda") + { + the_function = boost::math::heuman_lambda; + function_name = arg; + // x_max=1 y_max=1.5 kindlmann log=true + if (x_max >= 20) + { + std::cout << "Setting heuman_lambda x range to [-0.99, 0.99]" << std::endl; + x_max = 0.99; + x_min = -0.99; + } + if (y_max >= 20) + { + std::cout << "Setting heuman_lambda y range to [0, 1]" << std::endl; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default heuman_lambda color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "jacobi_theta1") + { + the_function = boost::math::jacobi_theta1; + function_name = arg; + if (y_max >= 20) + { + std::cout << "Setting jacobi_theta1 y range to [0, 1]" << std::endl; + y_max = 0.99; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default jacobi_theta1 color map to kindlmann" << std::endl; + requested_color_map = "kindlmann"; + color_map = boost::math::tools::kindlmann; + } + } + else if (arg == "1F1") + { + the_function = hypergeometric_1F1_at_half; + function_name = arg; + if (x_min >= 0) + { + std::cout << "Setting 1F1 x range to [-20,20]" << std::endl; + x_min = -20; + x_max = 20; + } + if (y_min >= 0) + { + std::cout << "Setting 1F1 y range to [-20,20]" << std::endl; + y_min = -20; + y_max = 20; + } + if (requested_color_map == "viridis") + { + std::cout << "Setting default 1F1 color map to extended_kindlmann" << std::endl; + requested_color_map = "extended_kindlmann"; + color_map = boost::math::tools::extended_kindlmann; + } + if (!log_scale) + { + std::cout << "Turning on logarithmic scale for 1F1" << std::endl; + log_scale = true; + } + } + else if (arg == "help") + { + show_help(); + return 0; + } + else + { + std::cerr << "Could not recognize argument " << argv[i] << ".\n\n"; + show_help(); + return 1; + } + } + + std::vector img(4*image_width*image_height, 0); + std::vector points(image_width*image_height, 0); + + Real min_value{ std::numeric_limits::infinity() }, max_value{ -std::numeric_limits::infinity() }; + // + // Get a matrix of points: + // + for (int64_t i = 0; i < image_width; ++i) + { + for (int64_t j = 0; j < image_height; ++j) + { + double x = x_max - (image_width - i) * (x_max - x_min) / image_width; + double y = y_max - (image_height - j) * (y_max - y_min) / image_height; + + Real p = the_function(x, y); + if (std::isnan(p)) + std::cerr << "Ooops, got a NaN" << std::endl; + if (p < min_value) + min_value = p; + if (p > max_value) + max_value = p; + points[i + image_width * (image_height - j - 1)] = p; + } + } + std::cout << "Function range is: [" << std::setprecision(3) << min_value << "," << max_value << "]\n"; + // + // Handle log scale, the formula differs depending on whether we have found negative values or not: + // + if (log_scale) + { + Real new_max = -std::numeric_limits::infinity(); + Real new_min = std::numeric_limits::infinity(); + for (int64_t i = 0; i < points.size(); ++i) + { + Real p = points[i]; + if (min_value <= 0) + p = boost::math::sign(p) * log10(1 + std::fabs(p * boost::math::constants::ln_ten())); + else + p = log(p); + if (std::isnan(p)) + std::cerr << "Ooops, got a NaN" << std::endl; + if (p < new_min) + new_min = p; + if (p > new_max) + new_max = p; + points[i] = p; + } + max_value = new_max; + min_value = new_min; + std::cout << "Function range is: [" << std::setprecision(3) << min_value << "," << max_value << "]\n"; + } + + // + // Normalize the points so they are all in [0,1] + // + for (int64_t i = 0; i < points.size(); ++i) + { + double p = points[i]; + p -= min_value; + p /= (max_value - min_value); + points[i] = p; + } + // + // debugging, adds an alternating 0 and 1 row on the second half of the zeroth row: + // + if (debug) + { + for (int64_t i = image_width / 2; i < image_width; ++i) + points[image_width * (image_height - 1) + i] = i & 1 ? 1 : 0; + } + + // + // Now calculate the RGB bitmap from the points: + // + for (int64_t i = 0; i < image_width; ++i) + { + for (int64_t j = 0; j < image_height; ++j) + { + double p = points[i + image_width * j]; + auto c = boost::math::tools::to_8bit_rgba(color_map(p)); + int64_t idx = 4 * (image_width * j + i); + img[idx + 0] = c[0]; + img[idx + 1] = c[1]; + img[idx + 2] = c[2]; + img[idx + 3] = c[3]; + } + } + + // Requires lodepng.h + // See: https://github.com/lvandeve/lodepng for download and compilation instructions + write_png(requested_color_map + "_" + function_name + ".png", img, image_width, image_height); +} From 62dfa025d7defe55d57bbccb51a1c95eb32418d0 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 25 Oct 2022 18:59:04 -0700 Subject: [PATCH 15/21] Disable C6326: Potential comparison of a constant with another constant --- include/boost/math/special_functions/bessel.hpp | 9 +++++++++ include/boost/math/special_functions/gamma.hpp | 1 + 2 files changed, 10 insertions(+) diff --git a/include/boost/math/special_functions/bessel.hpp b/include/boost/math/special_functions/bessel.hpp index 837f39253a..35ad350262 100644 --- a/include/boost/math/special_functions/bessel.hpp +++ b/include/boost/math/special_functions/bessel.hpp @@ -36,6 +36,11 @@ #include #include +#ifdef _MSC_VER +# pragma warning(push) +# pragma warning(disable: 6326) // potential comparison of a constant with another constant +#endif + namespace boost{ namespace math{ namespace detail{ @@ -754,6 +759,10 @@ inline OutputIterator cyl_neumann_zero(T v, } // namespace math } // namespace boost +#ifdef _MSC_VER +# pragma warning(pop) +#endif + #endif // BOOST_MATH_BESSEL_HPP diff --git a/include/boost/math/special_functions/gamma.hpp b/include/boost/math/special_functions/gamma.hpp index 4af5dfa314..71e8473cf8 100644 --- a/include/boost/math/special_functions/gamma.hpp +++ b/include/boost/math/special_functions/gamma.hpp @@ -44,6 +44,7 @@ # pragma warning(disable: 4702) // unreachable code (return after domain_error throw). # pragma warning(disable: 4127) // conditional expression is constant. # pragma warning(disable: 4100) // unreferenced formal parameter. +# pragma warning(disable: 6326) // potential comparison of a constant with another constant // Several variables made comments, // but some difficulty as whether referenced on not may depend on macro values. // So to be safe, 4100 warnings suppressed. From bfb8e7d0396225bba04fc0335fa58ffe9a656a51 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Sun, 13 Nov 2022 07:25:12 -0800 Subject: [PATCH 16/21] Fix for issue #871 (#872) --- include/boost/math/ccmath/abs.hpp | 31 +++++++++++++++++++++---------- 1 file changed, 21 insertions(+), 10 deletions(-) diff --git a/include/boost/math/ccmath/abs.hpp b/include/boost/math/ccmath/abs.hpp index 8e9317c517..d7d8b1868c 100644 --- a/include/boost/math/ccmath/abs.hpp +++ b/include/boost/math/ccmath/abs.hpp @@ -12,6 +12,7 @@ #include #include #include +#include #include #include @@ -20,19 +21,29 @@ namespace boost::math::ccmath { namespace detail { template -inline constexpr T abs_impl(T x) noexcept +constexpr T abs_impl(T x) noexcept { - return boost::math::ccmath::isnan(x) ? std::numeric_limits::quiet_NaN() : - boost::math::ccmath::isinf(x) ? std::numeric_limits::infinity() : - x == -0 ? T(0) : - x == (std::numeric_limits::min)() ? std::numeric_limits::quiet_NaN() : - x > 0 ? x : -x; + if (boost::math::ccmath::isnan(x)) + { + return std::numeric_limits::quiet_NaN(); + } + else if (x == static_cast(-0)) + { + return static_cast(0); + } + + if constexpr (std::is_integral_v) + { + BOOST_MATH_ASSERT(x != (std::numeric_limits::min)()); + } + + return x >= 0 ? x : -x; } } // Namespace detail template , bool> = true> -inline constexpr T abs(T x) noexcept +constexpr T abs(T x) noexcept { if(BOOST_MATH_IS_CONSTANT_EVALUATED(x)) { @@ -48,7 +59,7 @@ inline constexpr T abs(T x) noexcept // If abs() is called with an argument of type X for which is_unsigned_v is true and if X // cannot be converted to int by integral promotion (7.3.7), the program is ill-formed. template , bool> = true> -inline constexpr T abs(T x) noexcept +constexpr T abs(T x) noexcept { if constexpr (std::is_convertible_v) { @@ -61,12 +72,12 @@ inline constexpr T abs(T x) noexcept } } -inline constexpr long int labs(long int j) noexcept +constexpr long int labs(long int j) noexcept { return boost::math::ccmath::abs(j); } -inline constexpr long long int llabs(long long int j) noexcept +constexpr long long int llabs(long long int j) noexcept { return boost::math::ccmath::abs(j); } From 430f0dc6e2f3da95bdf4e666586cad6b4cc7b03f Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 17 Nov 2023 18:25:02 +0000 Subject: [PATCH 17/21] Update version history. 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doc/html/math_toolkit/tradoffs.html | 10 +- doc/html/math_toolkit/trans.html | 10 +- doc/html/math_toolkit/trapezoidal.html | 10 +- doc/html/math_toolkit/tuning.html | 10 +- doc/html/math_toolkit/tutorial.html | 10 +- doc/html/math_toolkit/tutorial/non_templ.html | 10 +- doc/html/math_toolkit/tutorial/templ.html | 10 +- doc/html/math_toolkit/tutorial/user_def.html | 10 +- doc/html/math_toolkit/ulps_plots.html | 10 +- .../math_toolkit/univariate_statistics.html | 10 +- doc/html/math_toolkit/value_op.html | 10 +- doc/html/math_toolkit/vector_barycentric.html | 10 +- doc/html/math_toolkit/wavelet_transforms.html | 10 +- doc/html/math_toolkit/whittaker_shannon.html | 10 +- doc/html/math_toolkit/z_test.html | 10 +- doc/html/math_toolkit/zetas.html | 10 +- doc/html/math_toolkit/zetas/zeta.html | 10 +- doc/html/octonions.html | 12 +- doc/html/overview.html | 14 +- doc/html/perf.html | 12 +- doc/html/policy.html | 12 +- doc/html/poly.html | 12 +- doc/html/quadrature.html | 12 +- doc/html/quaternions.html | 12 +- doc/html/root_finding.html | 12 +- doc/html/special.html | 12 +- doc/html/standalone_HTML.manifest | 1 + doc/html/statistics.html | 13 +- doc/html/status.html | 12 +- doc/html/using_udt.html | 12 +- doc/html/utils.html | 12 +- doc/html/vector_functionals.html | 18 +- doc/math.qbk | 2 +- doc/overview/roadmap.qbk | 16 ++ .../special_functions/detail/round_fwd.hpp | 32 ++-- .../boost/math/special_functions/round.hpp | 28 ++-- .../boost/math/special_functions/trunc.hpp | 38 ++--- 493 files changed, 2466 insertions(+), 3132 deletions(-) create mode 100644 doc/html/math_toolkit/chatterjee_correlation.html diff --git a/doc/html/backgrounders.html b/doc/html/backgrounders.html index b29bcfd47e..86ab4b66b3 100644 --- a/doc/html/backgrounders.html +++ b/doc/html/backgrounders.html @@ -4,10 +4,11 @@ Chapter 23. Backgrounders - - + + + @@ -50,9 +51,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/cstdfloat.html b/doc/html/cstdfloat.html index bf38d84cff..bd34f49604 100644 --- a/doc/html/cstdfloat.html +++ b/doc/html/cstdfloat.html @@ -4,10 +4,11 @@ Chapter 3. Specified-width floating-point typedefs - - + + + @@ -51,9 +52,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/dist.html b/doc/html/dist.html index 204ba06791..a0c6c30929 100644 --- a/doc/html/dist.html +++ b/doc/html/dist.html @@ -4,10 +4,11 @@ Chapter 5. Statistical Distributions and Functions - - + + + @@ -206,9 +207,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/extern_c.html b/doc/html/extern_c.html index 9a01395650..27485f538a 100644 --- a/doc/html/extern_c.html +++ b/doc/html/extern_c.html @@ -4,10 +4,11 @@ Chapter 9. TR1 and C99 external "C" Functions - - + + + @@ -34,9 +35,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/filters.html b/doc/html/filters.html index 332d9b21e7..e66f217193 100644 --- a/doc/html/filters.html +++ b/doc/html/filters.html @@ -4,10 +4,11 @@ Chapter 14. Filters - - + + + @@ -30,9 +31,7 @@
    Daubechies Filters
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/gcd_lcm.html b/doc/html/gcd_lcm.html index a656eb9b57..083588afd2 100644 --- a/doc/html/gcd_lcm.html +++ b/doc/html/gcd_lcm.html @@ -4,10 +4,11 @@ Chapter 18. Integer Utilities (Greatest Common Divisor and Least Common Multiple) - - + + + @@ -35,9 +36,7 @@ continue to exist and redirect to the moved headers.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/index.html b/doc/html/index.html index b5ebdf6e15..ebf1df493e 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -1,11 +1,12 @@ -Math Toolkit 4.1.0 +Math Toolkit 4.1.1 - + + @@ -22,7 +23,7 @@

    -Math Toolkit 4.1.0

    +Math Toolkit 4.1.1

    Nikhar Agrawal @@ -133,10 +134,7 @@

    -
    - - -

    Last revised: February 23, 2023 at 18:11:17 GMT

    +
    Next
    diff --git a/doc/html/indexes.html b/doc/html/indexes.html index f3d1541533..2b99eff987 100644 --- a/doc/html/indexes.html +++ b/doc/html/indexes.html @@ -4,10 +4,11 @@ Chapter 25. Indexes - - + + + @@ -36,9 +37,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s01.html b/doc/html/indexes/s01.html index 2b5d2dfe85..bdd7521830 100644 --- a/doc/html/indexes/s01.html +++ b/doc/html/indexes/s01.html @@ -4,10 +4,11 @@ Function Index - + + @@ -24,7 +25,7 @@

    -Function Index

    +Function Index

    1 2 4 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _

    -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/indexes/s02.html b/doc/html/indexes/s02.html index 4850bc7c7c..db175c17e5 100644 --- a/doc/html/indexes/s02.html +++ b/doc/html/indexes/s02.html @@ -4,10 +4,11 @@ Class Index - + + @@ -24,7 +25,7 @@

    -Class Index

    +Class Index

    A B C D E F G H I K L M N O P Q R S T U V W

    @@ -466,9 +467,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s03.html b/doc/html/indexes/s03.html index 2b8a2b5b62..2c28b94101 100644 --- a/doc/html/indexes/s03.html +++ b/doc/html/indexes/s03.html @@ -4,10 +4,11 @@ Typedef Index - + + @@ -24,7 +25,7 @@

    -Typedef Index

    +Typedef Index

    A B C D E F G H I K L N P R S T U V W

    @@ -385,9 +386,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s04.html b/doc/html/indexes/s04.html index 644a774352..e6748a3007 100644 --- a/doc/html/indexes/s04.html +++ b/doc/html/indexes/s04.html @@ -4,10 +4,11 @@ Macro Index - + + @@ -24,7 +25,7 @@

    -Macro Index

    +Macro Index

    B F

    @@ -373,9 +374,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s05.html b/doc/html/indexes/s05.html index 1d13dcd6bb..ba5052d7f8 100644 --- a/doc/html/indexes/s05.html +++ b/doc/html/indexes/s05.html @@ -4,9 +4,10 @@ Index - + + @@ -23,7 +24,7 @@

    -Index

    +Index

    1 2 4 5 7 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _

    -
    - - -
    +

    PrevUpHome diff --git a/doc/html/internals.html b/doc/html/internals.html index daf0ab7b2c..56aa0eccc4 100644 --- a/doc/html/internals.html +++ b/doc/html/internals.html @@ -4,10 +4,11 @@ Chapter 19. Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools - - + + + @@ -56,9 +57,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/interpolation.html b/doc/html/interpolation.html index 2d54f46114..b603e18533 100644 --- a/doc/html/interpolation.html +++ b/doc/html/interpolation.html @@ -4,10 +4,11 @@ Chapter 12. Interpolation - - + + + @@ -50,9 +51,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/inverse_complex.html b/doc/html/inverse_complex.html index 781eea65cd..ffffbc7595 100644 --- a/doc/html/inverse_complex.html +++ b/doc/html/inverse_complex.html @@ -4,10 +4,11 @@ Chapter 15. Complex Number Functions - - + + + @@ -46,9 +47,7 @@ Report on C++ Library Extensions.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acknowledgement.html b/doc/html/math_toolkit/acknowledgement.html index 52eaee594f..32ec4dd3ee 100644 --- a/doc/html/math_toolkit/acknowledgement.html +++ b/doc/html/math_toolkit/acknowledgement.html @@ -4,10 +4,11 @@ Acknowledgements - + + @@ -33,9 +34,7 @@ section. Thank you to all who contributed to the discution about this library.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acknowledgements.html b/doc/html/math_toolkit/acknowledgements.html index 0a0906b9d4..15d6762589 100644 --- a/doc/html/math_toolkit/acknowledgements.html +++ b/doc/html/math_toolkit/acknowledgements.html @@ -4,10 +4,11 @@ Acknowledgements - + + @@ -33,9 +34,7 @@ section. Thank you to all who contributed to the discussion about this library.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acos.html b/doc/html/math_toolkit/acos.html index f813c0b1d2..dc9e90dc63 100644 --- a/doc/html/math_toolkit/acos.html +++ b/doc/html/math_toolkit/acos.html @@ -4,10 +4,11 @@ acos - + + @@ -47,9 +48,7 @@
    Formula:

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acosh.html b/doc/html/math_toolkit/acosh.html index a0130c330f..f137666eae 100644 --- a/doc/html/math_toolkit/acosh.html +++ b/doc/html/math_toolkit/acosh.html @@ -4,10 +4,11 @@ acosh - + + @@ -47,9 +48,7 @@
    Formula:

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy.html b/doc/html/math_toolkit/airy.html index 272a42631a..f278a7397e 100644 --- a/doc/html/math_toolkit/airy.html +++ b/doc/html/math_toolkit/airy.html @@ -4,10 +4,11 @@ Airy Functions - + + @@ -34,9 +35,7 @@
    Finding Zeros of Airy Functions
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/ai.html b/doc/html/math_toolkit/airy/ai.html index bc4cde1534..2aa4357847 100644 --- a/doc/html/math_toolkit/airy/ai.html +++ b/doc/html/math_toolkit/airy/ai.html @@ -4,10 +4,11 @@ Airy Ai Function - + + @@ -115,9 +116,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/aip.html b/doc/html/math_toolkit/airy/aip.html index a16bc4113c..13621f8ca0 100644 --- a/doc/html/math_toolkit/airy/aip.html +++ b/doc/html/math_toolkit/airy/aip.html @@ -4,10 +4,11 @@ Airy Ai' Function - + + @@ -107,9 +108,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/airy_root.html b/doc/html/math_toolkit/airy/airy_root.html index 4f5dcfdbc8..43bfee0eef 100644 --- a/doc/html/math_toolkit/airy/airy_root.html +++ b/doc/html/math_toolkit/airy/airy_root.html @@ -4,10 +4,11 @@ Finding Zeros of Airy Functions - + + @@ -460,9 +461,7 @@

    Alpha.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/bi.html b/doc/html/math_toolkit/airy/bi.html index 14b6541e97..78e19f5846 100644 --- a/doc/html/math_toolkit/airy/bi.html +++ b/doc/html/math_toolkit/airy/bi.html @@ -4,10 +4,11 @@ Airy Bi Function - + + @@ -106,9 +107,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/bip.html b/doc/html/math_toolkit/airy/bip.html index 77ac68c130..411b622fba 100644 --- a/doc/html/math_toolkit/airy/bip.html +++ b/doc/html/math_toolkit/airy/bip.html @@ -4,10 +4,11 @@ Airy Bi' Function - + + @@ -107,9 +108,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/anderson_darling.html b/doc/html/math_toolkit/anderson_darling.html index f9a66831ea..6ee8655a78 100644 --- a/doc/html/math_toolkit/anderson_darling.html +++ b/doc/html/math_toolkit/anderson_darling.html @@ -4,10 +4,11 @@ The Anderson-Darling Test - + + @@ -190,9 +191,7 @@

    of the Anderson-Darling test statistic agrees with Mathematica.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/archetypes.html b/doc/html/math_toolkit/archetypes.html index 6b8083aab2..01a0539917 100644 --- a/doc/html/math_toolkit/archetypes.html +++ b/doc/html/math_toolkit/archetypes.html @@ -4,10 +4,11 @@ Conceptual Archetypes for Reals and Distributions - + + @@ -177,9 +178,7 @@

    implemented in there too.)

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/asin.html b/doc/html/math_toolkit/asin.html index f41968c9ff..d24d241600 100644 --- a/doc/html/math_toolkit/asin.html +++ b/doc/html/math_toolkit/asin.html @@ -4,10 +4,11 @@ asin - + + @@ -47,9 +48,7 @@
    Formula:

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/asinh.html b/doc/html/math_toolkit/asinh.html index f495ad9a46..42166c69b9 100644 --- a/doc/html/math_toolkit/asinh.html +++ b/doc/html/math_toolkit/asinh.html @@ -4,10 +4,11 @@ asinh - + + @@ -47,9 +48,7 @@
    Formula:

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/atan.html b/doc/html/math_toolkit/atan.html index 6189591fee..6ebf1f0a3f 100644 --- a/doc/html/math_toolkit/atan.html +++ b/doc/html/math_toolkit/atan.html @@ -4,10 +4,11 @@ atan - + + @@ -47,9 +48,7 @@
    Formula:

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/atanh.html b/doc/html/math_toolkit/atanh.html index 16e89c8fb4..4e63a8612b 100644 --- a/doc/html/math_toolkit/atanh.html +++ b/doc/html/math_toolkit/atanh.html @@ -4,10 +4,11 @@ atanh - + + @@ -47,9 +48,7 @@
    Formula:

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/autodiff.html b/doc/html/math_toolkit/autodiff.html index 6e4b20a98b..fd4fdc5876 100644 --- a/doc/html/math_toolkit/autodiff.html +++ b/doc/html/math_toolkit/autodiff.html @@ -4,10 +4,11 @@ Automatic Differentiation - + + @@ -399,9 +400,7 @@

    manual.

    -

    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bad_guess.html b/doc/html/math_toolkit/bad_guess.html index 756d317647..d873721a2f 100644 --- a/doc/html/math_toolkit/bad_guess.html +++ b/doc/html/math_toolkit/bad_guess.html @@ -4,10 +4,11 @@ The Effect of a Poor Initial Guess - + + @@ -757,9 +758,7 @@ when using derivatives.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bad_roots.html b/doc/html/math_toolkit/bad_roots.html index f26e434e0d..df4e4eccc9 100644 --- a/doc/html/math_toolkit/bad_roots.html +++ b/doc/html/math_toolkit/bad_roots.html @@ -4,10 +4,11 @@ Examples Where Root Finding Goes Wrong - + + @@ -108,9 +109,7 @@

    and for z0 > 0 the steps are actually divergent.

    -

    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/barycentric.html b/doc/html/math_toolkit/barycentric.html index 659ded546f..5d443533af 100644 --- a/doc/html/math_toolkit/barycentric.html +++ b/doc/html/math_toolkit/barycentric.html @@ -4,10 +4,11 @@ Barycentric Rational Interpolation - + + @@ -268,9 +269,7 @@

    Root was found in 10 iterations. -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel.html b/doc/html/math_toolkit/bessel.html index bfcd26d3b7..ba429d56ec 100644 --- a/doc/html/math_toolkit/bessel.html +++ b/doc/html/math_toolkit/bessel.html @@ -4,10 +4,11 @@ Bessel Functions - + + @@ -40,9 +41,7 @@ the Bessel Functions -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/bessel_derivatives.html b/doc/html/math_toolkit/bessel/bessel_derivatives.html index 129a03766d..9c3b68f06c 100644 --- a/doc/html/math_toolkit/bessel/bessel_derivatives.html +++ b/doc/html/math_toolkit/bessel/bessel_derivatives.html @@ -4,10 +4,11 @@ Derivatives of the Bessel Functions - + + @@ -1436,9 +1437,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/bessel_first.html b/doc/html/math_toolkit/bessel/bessel_first.html index e5942506b6..46e55e05d8 100644 --- a/doc/html/math_toolkit/bessel/bessel_first.html +++ b/doc/html/math_toolkit/bessel/bessel_first.html @@ -4,10 +4,11 @@ Bessel Functions of the First and Second Kinds - + + @@ -1367,9 +1368,7 @@
    recurrence.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/bessel_over.html b/doc/html/math_toolkit/bessel/bessel_over.html index c2a200ddf3..1960c93cec 100644 --- a/doc/html/math_toolkit/bessel/bessel_over.html +++ b/doc/html/math_toolkit/bessel/bessel_over.html @@ -4,10 +4,11 @@ Bessel Function Overview - + + @@ -215,9 +216,7 @@
    and sph_neumann.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/bessel_root.html b/doc/html/math_toolkit/bessel/bessel_root.html index f2d03c3a7a..92971a0641 100644 --- a/doc/html/math_toolkit/bessel/bessel_root.html +++ b/doc/html/math_toolkit/bessel/bessel_root.html @@ -4,10 +4,11 @@ Finding Zeros of Bessel Functions of the First and Second Kinds - + + @@ -755,9 +756,7 @@

    Alpha.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/mbessel.html b/doc/html/math_toolkit/bessel/mbessel.html index 1d5880d21b..bfd73b84d5 100644 --- a/doc/html/math_toolkit/bessel/mbessel.html +++ b/doc/html/math_toolkit/bessel/mbessel.html @@ -4,10 +4,11 @@ Modified Bessel Functions of the First and Second Kinds - + + @@ -1180,9 +1181,7 @@
    two values and fν, the Wronskian yields Iν(x) directly.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/sph_bessel.html b/doc/html/math_toolkit/bessel/sph_bessel.html index 025b803cc7..d42a7bbfe7 100644 --- a/doc/html/math_toolkit/bessel/sph_bessel.html +++ b/doc/html/math_toolkit/bessel/sph_bessel.html @@ -4,10 +4,11 @@ Spherical Bessel Functions of the First and Second Kinds - + + @@ -272,9 +273,7 @@
    main definition as x → 0.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bezier_polynomial.html b/doc/html/math_toolkit/bezier_polynomial.html index 5ec26eeeb6..6dd232725e 100644 --- a/doc/html/math_toolkit/bezier_polynomial.html +++ b/doc/html/math_toolkit/bezier_polynomial.html @@ -4,10 +4,11 @@ Bezier Polynomials - + + @@ -233,9 +234,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bilinear_uniform.html b/doc/html/math_toolkit/bilinear_uniform.html index 26cca6dff2..e5b9a43fd4 100644 --- a/doc/html/math_toolkit/bilinear_uniform.html +++ b/doc/html/math_toolkit/bilinear_uniform.html @@ -4,10 +4,11 @@ Bilinear Uniform Interpolation - + + @@ -124,9 +125,7 @@

    Bilinear<double>/8192 13.2 ns -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bivariate_statistics.html b/doc/html/math_toolkit/bivariate_statistics.html index 1435f61652..5b39e5da55 100644 --- a/doc/html/math_toolkit/bivariate_statistics.html +++ b/doc/html/math_toolkit/bivariate_statistics.html @@ -4,10 +4,11 @@ Bivariate Statistics - + + @@ -137,9 +138,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/brent_minima.html b/doc/html/math_toolkit/brent_minima.html index de2304809a..4315a77e37 100644 --- a/doc/html/math_toolkit/brent_minima.html +++ b/doc/html/math_toolkit/brent_minima.html @@ -4,10 +4,11 @@ Locating Function Minima using Brent's algorithm - + + @@ -649,9 +650,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/building.html b/doc/html/math_toolkit/building.html index c270a5a7d0..f49a9f9e34 100644 --- a/doc/html/math_toolkit/building.html +++ b/doc/html/math_toolkit/building.html @@ -4,10 +4,11 @@ If and How to Build a Boost.Math Library, and its Examples and Tests - + + @@ -145,9 +146,7 @@
    the sources. Boost.Build will do this automatically when appropriate.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/c99.html b/doc/html/math_toolkit/c99.html index 5881569324..3867e13765 100644 --- a/doc/html/math_toolkit/c99.html +++ b/doc/html/math_toolkit/c99.html @@ -4,10 +4,11 @@ C99 C Functions - + + @@ -461,9 +462,7 @@
    ISO Standard

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cardinal_cubic_b.html b/doc/html/math_toolkit/cardinal_cubic_b.html index 62dca00371..faf45cf96b 100644 --- a/doc/html/math_toolkit/cardinal_cubic_b.html +++ b/doc/html/math_toolkit/cardinal_cubic_b.html @@ -4,10 +4,11 @@ Cardinal Cubic B-spline interpolation - + + @@ -311,9 +312,7 @@

    Found in 3 iterations -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cardinal_quadratic_b.html b/doc/html/math_toolkit/cardinal_quadratic_b.html index adf1717940..fed84661ef 100644 --- a/doc/html/math_toolkit/cardinal_quadratic_b.html +++ b/doc/html/math_toolkit/cardinal_quadratic_b.html @@ -4,10 +4,11 @@ Cardinal Quadratic B-spline interpolation - + + @@ -83,9 +84,7 @@

    differentiable, but not three or four times differentiable.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cardinal_quintic_b.html b/doc/html/math_toolkit/cardinal_quintic_b.html index 30d27e0177..7961239352 100644 --- a/doc/html/math_toolkit/cardinal_quintic_b.html +++ b/doc/html/math_toolkit/cardinal_quintic_b.html @@ -4,10 +4,11 @@ Cardinal Quintic B-spline interpolation - + + @@ -120,9 +121,7 @@

    of data by spline functions. Diss. City, University of London, 1975.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cardinal_trigonometric.html b/doc/html/math_toolkit/cardinal_trigonometric.html index 230f548a45..4c9049f63a 100644 --- a/doc/html/math_toolkit/cardinal_trigonometric.html +++ b/doc/html/math_toolkit/cardinal_trigonometric.html @@ -4,10 +4,11 @@ Cardinal Trigonometric interpolation - + + @@ -148,9 +149,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/catmull_rom.html b/doc/html/math_toolkit/catmull_rom.html index dfe10da166..7867e8ff35 100644 --- a/doc/html/math_toolkit/catmull_rom.html +++ b/doc/html/math_toolkit/catmull_rom.html @@ -4,10 +4,11 @@ Catmull-Rom Splines - + + @@ -351,9 +352,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ccmath.html b/doc/html/math_toolkit/ccmath.html index ad68936f98..670550ee7c 100644 --- a/doc/html/math_toolkit/ccmath.html +++ b/doc/html/math_toolkit/ccmath.html @@ -4,10 +4,11 @@ Constexpr CMath - + + @@ -232,9 +233,7 @@

    } // Namespaces -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/chatterjee_correlation.html b/doc/html/math_toolkit/chatterjee_correlation.html new file mode 100644 index 0000000000..b00f732609 --- /dev/null +++ b/doc/html/math_toolkit/chatterjee_correlation.html @@ -0,0 +1,132 @@ + + + +Chatterjee Correlation + + + + + + + + + + + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +
    +
    +PrevUpHomeNext +
    +
    + +

    + + Synopsis +

    +
    #include <boost/math/statistics/chatterjee_correlation.hpp>
    +
    +namespace boost::math::statistics {
    +
    +    C++17:
    +    template <typename ExecutionPolicy, typename Container>
    +    auto chatterjee_correlation(ExecutionPolicy&& exec, const Container& u, const Container& v);
    +
    +    C++11:
    +    template <typename Container>
    +    auto chatterjee_correlation(const Container& u, const Container& v);
    +}
    +
    +

    + + Description +

    +

    + The classical correlation coefficients like the Pearson's correlation are useful + primarily for distinguishing when one dataset depends linearly on another. + However, Pearson's correlation coefficient has a known weakness in that when + the dependent variable has an obvious functional relationship with the independent + variable, the value of the correlation coefficient can take on any value. As + Chatterjee says: +

    +

    + > Ideally, one would like a coefficient that approaches its maximum value + if and only if one variable looks more and more like a noiseless function of + the other, just as Pearson correlation is close to its maximum value if and + only if one variable is close to being a noiseless linear function of the other. +

    +

    + This is the problem Chatterjee's coefficient solves. Let X and Y be random + variables, where Y is not constant, and let (X_i, Y_i) be samples from this + distribution. Rearrange these samples so that X_(0) < X_{(1)} < ... X_{(n-1)} + and create (R(X_{(i)}), R(Y_{(i)})). The Chatterjee correlation is then given + by +

    +

    + +

    +

    + In the limit of an infinite amount of i.i.d data, the statistic lies in [0, + 1]. However, if the data is not infinite, the statistic may be negative. If + X and Y are independent, the value is zero, and if Y is a measurable function + of X, then the statistic is unity. The complexity is O(n log n). +

    +

    + An example is given below: +

    +
    std::vector<double> X{1,2,3,4,5};
    +std::vector<double> Y{1,2,3,4,5};
    +using boost::math::statistics::chatterjee_correlation;
    +double coeff = chatterjee_correlation(X, Y);
    +
    +

    + The implementation follows Chatterjee's + paper. +

    +

    + Nota bene: If the input is an integer type the output + will be a double precision type. +

    +

    + + Invariants +

    +

    + The function expects at least two samples, a non-constant vector Y, and the + same number of X's as Y's. If Y is constant, the result is a quiet NaN. The + data set must be sorted by X values. If there are ties in the values of X, + then the statistic is random due to the random breaking of ties. Of course, + random numbers are not used internally, but the result is not guaranteed to + be identical on different systems. +

    +

    + + References +

    +
    • + Chatterjee, Sourav. "A new coefficient of correlation." Journal + of the American Statistical Association 116.536 (2021): 2009-2022. +
    +
    + +
    +
    +PrevUpHomeNext +
    + + diff --git a/doc/html/math_toolkit/comp_compilers.html b/doc/html/math_toolkit/comp_compilers.html index e33a1aa759..703c20936a 100644 --- a/doc/html/math_toolkit/comp_compilers.html +++ b/doc/html/math_toolkit/comp_compilers.html @@ -4,10 +4,11 @@ Comparing Different Compilers - + + @@ -3192,9 +3193,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/comparisons.html b/doc/html/math_toolkit/comparisons.html index 9f52bfddc4..403cf326e7 100644 --- a/doc/html/math_toolkit/comparisons.html +++ b/doc/html/math_toolkit/comparisons.html @@ -4,10 +4,11 @@ Comparisons to Other Open Source Libraries - + + @@ -4718,9 +4719,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/compilers_overview.html b/doc/html/math_toolkit/compilers_overview.html index 92984b75b1..72a0a507fa 100644 --- a/doc/html/math_toolkit/compilers_overview.html +++ b/doc/html/math_toolkit/compilers_overview.html @@ -4,10 +4,11 @@ Compilers - + + @@ -664,9 +665,7 @@ acceptable or not.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/complex_history.html b/doc/html/math_toolkit/complex_history.html index a8a2a30c82..c2518faa2a 100644 --- a/doc/html/math_toolkit/complex_history.html +++ b/doc/html/math_toolkit/complex_history.html @@ -4,10 +4,11 @@ History - + + @@ -35,9 +36,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/complex_implementation.html b/doc/html/math_toolkit/complex_implementation.html index 98ee347fff..b5573b7d17 100644 --- a/doc/html/math_toolkit/complex_implementation.html +++ b/doc/html/math_toolkit/complex_implementation.html @@ -4,10 +4,11 @@ Implementation and Accuracy - + + @@ -44,9 +45,7 @@ paper for more information on the implementation methodology.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cond.html b/doc/html/math_toolkit/cond.html index 8b3a9fd1a7..95329b7ff9 100644 --- a/doc/html/math_toolkit/cond.html +++ b/doc/html/math_toolkit/cond.html @@ -4,10 +4,11 @@ Condition Numbers - + + @@ -166,9 +167,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/config_macros.html b/doc/html/math_toolkit/config_macros.html index 4a3bb6cd47..7681b650c5 100644 --- a/doc/html/math_toolkit/config_macros.html +++ b/doc/html/math_toolkit/config_macros.html @@ -4,10 +4,11 @@ Configuration Macros - + + @@ -364,9 +365,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/constants.html b/doc/html/math_toolkit/constants.html index be6e72dfa4..e3b72df283 100644 --- a/doc/html/math_toolkit/constants.html +++ b/doc/html/math_toolkit/constants.html @@ -4,10 +4,11 @@ The Mathematical Constants - + + @@ -1755,9 +1756,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/constants_faq.html b/doc/html/math_toolkit/constants_faq.html index ac9f30e609..2ef4467247 100644 --- a/doc/html/math_toolkit/constants_faq.html +++ b/doc/html/math_toolkit/constants_faq.html @@ -4,10 +4,11 @@ Math Constants FAQs - + + @@ -451,9 +452,7 @@
    Some physical constants may be available in Boost.Units.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/constants_intro.html b/doc/html/math_toolkit/constants_intro.html index 8a41a50a55..ee4060f28d 100644 --- a/doc/html/math_toolkit/constants_intro.html +++ b/doc/html/math_toolkit/constants_intro.html @@ -4,10 +4,11 @@ Introduction - + + @@ -120,9 +121,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/contact.html b/doc/html/math_toolkit/contact.html index e5f03273a5..31abd5e876 100644 --- a/doc/html/math_toolkit/contact.html +++ b/doc/html/math_toolkit/contact.html @@ -4,10 +4,11 @@ Contact Info and Support - + + @@ -54,9 +55,7 @@ at - hetp.u-net.com.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/conventions.html b/doc/html/math_toolkit/conventions.html index 294692313e..fd89586f00 100644 --- a/doc/html/math_toolkit/conventions.html +++ b/doc/html/math_toolkit/conventions.html @@ -4,10 +4,11 @@ Document Conventions - + + @@ -27,7 +28,7 @@ Document Conventions

    - +

    This documentation aims to use of the following naming and formatting conventions. @@ -68,9 +69,7 @@ -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/create.html b/doc/html/math_toolkit/create.html index 3090c4e169..6a951137fb 100644 --- a/doc/html/math_toolkit/create.html +++ b/doc/html/math_toolkit/create.html @@ -4,10 +4,11 @@ Quaternion Creation Functions - + + @@ -102,9 +103,7 @@ test file).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/credits.html b/doc/html/math_toolkit/credits.html index f33f506436..7070d31aba 100644 --- a/doc/html/math_toolkit/credits.html +++ b/doc/html/math_toolkit/credits.html @@ -4,10 +4,11 @@ Credits and Acknowledgements - + + @@ -189,9 +190,7 @@ in Boost.Math.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cubic_hermite.html b/doc/html/math_toolkit/cubic_hermite.html index ff2bcfeab6..1e4da4d425 100644 --- a/doc/html/math_toolkit/cubic_hermite.html +++ b/doc/html/math_toolkit/cubic_hermite.html @@ -4,10 +4,11 @@ Cubic Hermite interpolation - + + @@ -244,9 +245,7 @@

    the problem size gets larger.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cubic_roots.html b/doc/html/math_toolkit/cubic_roots.html index 38e8ced847..8de9fddc7d 100644 --- a/doc/html/math_toolkit/cubic_roots.html +++ b/doc/html/math_toolkit/cubic_roots.html @@ -4,10 +4,11 @@ Roots of Cubic Polynomials - + + @@ -140,9 +141,7 @@

    estimate.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/daubechies.html b/doc/html/math_toolkit/daubechies.html index 79dae5c61c..d10e5be211 100644 --- a/doc/html/math_toolkit/daubechies.html +++ b/doc/html/math_toolkit/daubechies.html @@ -4,10 +4,11 @@ Daubechies Wavelets and Scaling Functions - + + @@ -183,6 +184,54 @@
    The 8 vanishing moment scaling function.

    +

    + Boost.Math also provides numerical evaluation of the Fourier transform of these + functions. This is useful in sparse recovery problems where the measurements + are taken in the Fourier basis. The usage is exhibited below: +

    +
    #include <boost/math/special_functions/fourier_transform_daubechies_scaling.hpp>
    +using boost::math::fourier_transform_daubechies_scaling;
    +// Evaluate the Fourier transform of the 4-vanishing moment Daubechies scaling function at ω=1.8:
    +std::complex<float> hat_phi = fourier_transform_daubechies_scaling<float, 4>(1.8f);
    +
    +

    + The Fourier transform convention is unitary with the sign of the imaginary + unit being given in Daubechies Ten Lectures. In particular, this means that + fourier_transform_daubechies_scaling<float, + p>(0.0) returns + 1/sqrt(2π). +

    +

    + The implementation computes an infinite product of trigonometric polynomials + as can be found from recursive application of the identity 𝓕[φ](ω) = m(ω/2)𝓕[φ](ω/2). + This is neither particularly fast nor accurate, but there appears to be no + literature on this extremely useful topic, and hence the naive method must + suffice. +

    +

    + +

    +

    + A benchmark can be found in reporting/performance/fourier_transform_daubechies_performance.cpp; the + results on a ~2021 M1 Macbook pro are presented below: +

    +

    + Run on (10 X 24.1212 MHz CPU s) CPU Caches: L1 Data 64 KiB (x10) L1 Instruction + 128 KiB (x10) L2 Unified 4096 KiB (x5) Load Average: 1.33, 1.52, 1.62 ----------------------------------------------------------- + Benchmark Time ----------------------------------------------------------- + FourierTransformDaubechiesScaling<double, 1> 70.3 ns FourierTransformDaubechiesScaling<double, + 2> 330 ns FourierTransformDaubechiesScaling<double, 3> 335 ns FourierTransformDaubechiesScaling<double, + 4> 364 ns FourierTransformDaubechiesScaling<double, 5> 386 ns FourierTransformDaubechiesScaling<double, + 6> 436 ns FourierTransformDaubechiesScaling<double, 7> 447 ns FourierTransformDaubechiesScaling<double, + 8> 473 ns FourierTransformDaubechiesScaling<double, 9> 503 ns FourierTransformDaubechiesScaling<double, + 10> 554 ns +

    +

    + Due to the low accuracy of this method, float + precision is arg-promoted to double, + and hence takes just as long as double + precision to execute. +

    References @@ -202,9 +251,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/daubechies_filters.html b/doc/html/math_toolkit/daubechies_filters.html index 5fe91b2916..9d9db53f09 100644 --- a/doc/html/math_toolkit/daubechies_filters.html +++ b/doc/html/math_toolkit/daubechies_filters.html @@ -4,10 +4,11 @@ Daubechies Filters - + + @@ -179,9 +180,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/diff.html b/doc/html/math_toolkit/diff.html index 9114719d4c..4834ca13e6 100644 --- a/doc/html/math_toolkit/diff.html +++ b/doc/html/math_toolkit/diff.html @@ -4,10 +4,11 @@ Numerical Differentiation - + + @@ -346,9 +347,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/diff0.html b/doc/html/math_toolkit/diff0.html index f02ab05b66..5981deadd9 100644 --- a/doc/html/math_toolkit/diff0.html +++ b/doc/html/math_toolkit/diff0.html @@ -4,10 +4,11 @@ Lanczos Smoothing Derivatives - + + @@ -230,9 +231,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/directories.html b/doc/html/math_toolkit/directories.html index d4910cdcd0..856c9a4f9c 100644 --- a/doc/html/math_toolkit/directories.html +++ b/doc/html/math_toolkit/directories.html @@ -4,10 +4,11 @@ Directory and File Structure - + + @@ -109,9 +110,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_concept.html b/doc/html/math_toolkit/dist_concept.html index 082ba61f67..1afc3dba1d 100644 --- a/doc/html/math_toolkit/dist_concept.html +++ b/doc/html/math_toolkit/dist_concept.html @@ -4,10 +4,11 @@ Conceptual Requirements for Distribution Types - + + @@ -378,9 +379,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref.html b/doc/html/math_toolkit/dist_ref.html index 6cc2dfa208..361c091bdb 100644 --- a/doc/html/math_toolkit/dist_ref.html +++ b/doc/html/math_toolkit/dist_ref.html @@ -4,10 +4,11 @@ Statistical Distributions Reference - + + @@ -94,9 +95,7 @@
    Distribution Algorithms
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dist_algorithms.html b/doc/html/math_toolkit/dist_ref/dist_algorithms.html index 70c9c54391..85ffa58e0c 100644 --- a/doc/html/math_toolkit/dist_ref/dist_algorithms.html +++ b/doc/html/math_toolkit/dist_ref/dist_algorithms.html @@ -4,10 +4,11 @@ Distribution Algorithms - + + @@ -117,9 +118,7 @@
    of normally distributed weights to meet a specification.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists.html b/doc/html/math_toolkit/dist_ref/dists.html index 97f8c00382..19f1293c05 100644 --- a/doc/html/math_toolkit/dist_ref/dists.html +++ b/doc/html/math_toolkit/dist_ref/dists.html @@ -4,10 +4,11 @@ Distributions - + + @@ -89,9 +90,7 @@
    Weibull Distribution
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html index 1b11642588..e9e5ac39ec 100644 --- a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html @@ -4,10 +4,11 @@ Arcsine Distribution - + + @@ -628,9 +629,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html index 463924e7b9..bc96ba061f 100644 --- a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html @@ -4,10 +4,11 @@ Bernoulli Distribution - + + @@ -348,9 +349,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html index b1318a5c03..070ab2dfe3 100644 --- a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html @@ -4,10 +4,11 @@ Beta Distribution - + + @@ -601,9 +602,7 @@
    MathWorld

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html index 7e4ee26871..ecb7a346bd 100644 --- a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html @@ -4,10 +4,11 @@ Binomial Distribution - + + @@ -696,7 +697,7 @@

    Using the relation:

    -
    p = I[sub 1-p](n - k, k + 1)
    +
    p = I[sub 1-p](n - k, k + 1)
       = 1 - I[sub p](k + 1, n - k)
       = ibetac(k + 1, n - k, p)

    @@ -885,9 +886,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html index 0ca26933c4..a34aacd90b 100644 --- a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html @@ -4,10 +4,11 @@ Cauchy-Lorentz Distribution - + + @@ -291,9 +292,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html index f7391bf489..1d15177982 100644 --- a/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html @@ -4,10 +4,11 @@ Chi Squared Distribution - + + @@ -394,9 +395,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html b/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html index e8ff267e3d..1c13570e92 100644 --- a/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html +++ b/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html @@ -4,10 +4,11 @@ Empirical Cumulative Distribution Function - + + @@ -185,9 +186,7 @@
    is itself a fairly expensive operation.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html index bfaa7c65b7..c9b9801ba5 100644 --- a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html @@ -4,10 +4,11 @@ Exponential Distribution - + + @@ -305,15 +306,13 @@
    Distributions.)

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html index 261413c36b..721c625aff 100644 --- a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html @@ -4,10 +4,11 @@ Extreme Value Distribution - + + @@ -65,7 +66,7 @@

    The relationship of the types of extreme value distributions, of which - this is but one, is discussed by Extreme + this is but one, is discussed by Extreme Value Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah.

    @@ -314,9 +315,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/f_dist.html b/doc/html/math_toolkit/dist_ref/dists/f_dist.html index 483643351a..a873909927 100644 --- a/doc/html/math_toolkit/dist_ref/dists/f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/f_dist.html @@ -4,10 +4,11 @@ F Distribution - + + @@ -418,9 +419,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html index 28809f24d5..803fc5d1c0 100644 --- a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html @@ -4,10 +4,11 @@ Gamma (and Erlang) Distribution - + + @@ -349,9 +350,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html index 55d87e4b09..7326c05234 100644 --- a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html @@ -4,10 +4,11 @@ Geometric Distribution - + + @@ -826,9 +827,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html index edf29cb621..687f2b52f0 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html @@ -4,10 +4,11 @@ Hyperexponential Distribution - + + @@ -1452,9 +1453,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html index 096abe2e9a..778333ea5a 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html @@ -4,10 +4,11 @@ Hypergeometric Distribution - + + @@ -41,11 +42,11 @@ typedefRealTypevalue_type;typedefPolicypolicy_type;// Construct: - hypergeometric_distribution(unsignedr,unsignedn,unsignedN);// r=defective/failures/success, n=trials/draws, N=total population. + hypergeometric_distribution(uint64_tr,uint64_tn,uint64_tN);// r=defective/failures/success, n=trials/draws, N=total population.// Accessors: - unsignedtotal()const; - unsigneddefective()const; - unsignedsample_count()const; + uint64_ttotal()const; + uint64_tdefective()const; + uint64_tsample_count()const;};typedefhypergeometric_distribution<>hypergeometric; @@ -104,25 +105,25 @@
    Member Functions
    -
    hypergeometric_distribution(unsigned r, unsigned n, unsigned N);
    +
    hypergeometric_distribution(uint64_t r, uint64_t n, uint64_t N);
     

    Constructs a hypergeometric distribution with a population of N objects, of which r are defective, and from which n are sampled.

    -
    unsigned total()const;
    +
    uint64_t total()const;
     

    Returns the total number of objects N.

    -
    unsigned defective()const;
    +
    uint64_t defective()const;
     

    Returns the number of objects r in population N which are defective.

    -
    unsigned sample_count()const;
    +
    uint64_t sample_count()const;
     

    Returns the number of objects n which are sampled @@ -158,8 +159,8 @@

    range and support.

    - The domain of the random variable is the unsigned integers in the range - [max(0, n + r - N), min(n, r)]. A domain_error + The domain of the random variable are the 64-bit unsigned integers in the + range [max(0, n + r - N), min(n, r)]. A domain_error is raised if the random variable is outside this range, or is not an integral value.

    @@ -343,9 +344,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html index 0faeea9f1b..c11f3ffef1 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html @@ -4,10 +4,11 @@ Inverse Chi Squared Distribution - + + @@ -456,9 +457,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html index 027d8eb422..aaa37929a6 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html @@ -4,10 +4,11 @@ Inverse Gamma Distribution - + + @@ -350,9 +351,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html index 1d62ee2d9d..5437b52ebb 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html @@ -4,10 +4,11 @@ Inverse Gaussian (or Inverse Normal) Distribution - + + @@ -429,9 +430,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html b/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html index e12cd3407d..e7763e2b31 100644 --- a/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html @@ -4,10 +4,11 @@ Kolmogorov-Smirnov Distribution - + + @@ -333,9 +334,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html index 81f576e639..8516ec0a8f 100644 --- a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html @@ -4,10 +4,11 @@ Laplace Distribution - + + @@ -343,9 +344,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html index 3d4950e558..1588cd6d89 100644 --- a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html @@ -4,10 +4,11 @@ Logistic Distribution - + + @@ -280,9 +281,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html index 965b79392a..acf05886d6 100644 --- a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html @@ -4,10 +4,11 @@ Log Normal Distribution - + + @@ -314,9 +315,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html index 83b04ff565..4de21e8980 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html @@ -4,10 +4,11 @@ Noncentral Beta Distribution - + + @@ -476,9 +477,7 @@
    warranted).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html index 234b860b4f..3ed83da0e5 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html @@ -4,10 +4,11 @@ Noncentral Chi-Squared Distribution - + + @@ -561,9 +562,7 @@
    141 (2003) 3-12.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html index df8b452325..df0d0c664a 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html @@ -4,10 +4,11 @@ Noncentral F Distribution - + + @@ -401,9 +402,7 @@
    141 (2003) 3-12.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html index 1bff26bef1..44b4b862a0 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html @@ -4,10 +4,11 @@ Noncentral T Distribution - + + @@ -557,9 +558,7 @@
    141 (2003) 3-12.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html b/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html index ad48034c92..5f586c3623 100644 --- a/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html @@ -4,10 +4,11 @@ Negative Binomial Distribution - + + @@ -867,9 +868,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html index 55664eee25..6cb6a3c9ec 100644 --- a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html @@ -4,10 +4,11 @@ Normal (Gaussian) Distribution - + + @@ -310,9 +311,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/pareto.html b/doc/html/math_toolkit/dist_ref/dists/pareto.html index be5d2ca31d..943f0790ee 100644 --- a/doc/html/math_toolkit/dist_ref/dists/pareto.html +++ b/doc/html/math_toolkit/dist_ref/dists/pareto.html @@ -4,10 +4,11 @@ Pareto Distribution - + + @@ -333,9 +334,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html index 93c91b1805..bbed802bdc 100644 --- a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html @@ -4,10 +4,11 @@ Poisson Distribution - + + @@ -313,9 +314,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html index c216a24805..cbd8b887cf 100644 --- a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html +++ b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html @@ -4,10 +4,11 @@ Rayleigh Distribution - + + @@ -331,9 +332,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html b/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html index 3f807e2400..dbdebadfde 100644 --- a/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html @@ -4,10 +4,11 @@ Skew Normal Distribution - + + @@ -505,9 +506,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html b/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html index af1b79b6a7..68024ac33d 100644 --- a/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html @@ -4,10 +4,11 @@ Students t Distribution - + + @@ -425,9 +426,7 @@
    also https://svn.boost.org/trac/boost/ticket/7177.)

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html index 8c9da8079a..c0a44ae2e7 100644 --- a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html @@ -4,10 +4,11 @@ Triangular Distribution - + + @@ -64,9 +65,8 @@ vaguely known, but, like the uniform distribution, upper and limits are 'known', but a 'best guess', the mode or center point, is also added. It has been recommended as a - proxy - for the beta distribution. The distribution is used in business - decision making and project planning. + proxy for the beta distribution. + The distribution is used in business decision making and project planning.

    The triangular @@ -426,9 +426,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html index c53383617b..fc94bafa2a 100644 --- a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html @@ -4,10 +4,11 @@ Uniform Distribution - + + @@ -348,9 +349,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html index f94d0800bb..6852e6850d 100644 --- a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html @@ -4,10 +4,11 @@ Weibull Distribution - + + @@ -108,7 +109,7 @@
    distribution. When α = 1, the Weibull distribution reduces to the exponential distribution. The relationship of the types of extreme value distributions, - of which the Weibull is but one, is discussed by Extreme + of which the Weibull is but one, is discussed by Extreme Value Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah.

    @@ -355,9 +356,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/nmp.html b/doc/html/math_toolkit/dist_ref/nmp.html index 8917309640..b657f5fcf5 100644 --- a/doc/html/math_toolkit/dist_ref/nmp.html +++ b/doc/html/math_toolkit/dist_ref/nmp.html @@ -4,10 +4,11 @@ Non-Member Properties - + + @@ -714,9 +715,7 @@
    the entropy of continuous probability distributions for more information.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential.html b/doc/html/math_toolkit/double_exponential.html index b3bb681eed..0267217e47 100644 --- a/doc/html/math_toolkit/double_exponential.html +++ b/doc/html/math_toolkit/double_exponential.html @@ -4,10 +4,11 @@ Double-exponential quadrature - + + @@ -42,9 +43,7 @@
    References
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_caveats.html b/doc/html/math_toolkit/double_exponential/de_caveats.html index 7f60788900..3f94494092 100644 --- a/doc/html/math_toolkit/double_exponential/de_caveats.html +++ b/doc/html/math_toolkit/double_exponential/de_caveats.html @@ -4,10 +4,11 @@ Caveats - + + @@ -169,9 +170,7 @@ classes.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html index de457bb333..bb4e89c84e 100644 --- a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html @@ -4,10 +4,11 @@ exp_sinh - + + @@ -99,9 +100,7 @@ as the result (a NaN).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_levels.html b/doc/html/math_toolkit/double_exponential/de_levels.html index 0c34b057f3..b7c7a75900 100644 --- a/doc/html/math_toolkit/double_exponential/de_levels.html +++ b/doc/html/math_toolkit/double_exponential/de_levels.html @@ -4,10 +4,11 @@ Setting the Maximum Interval Halvings and Memory Requirements - + + @@ -60,9 +61,7 @@ can quickly grow out of control.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_overview.html b/doc/html/math_toolkit/double_exponential/de_overview.html index 241ac8df55..deab5bc415 100644 --- a/doc/html/math_toolkit/double_exponential/de_overview.html +++ b/doc/html/math_toolkit/double_exponential/de_overview.html @@ -4,10 +4,11 @@ Overview - + + @@ -213,9 +214,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_refes.html b/doc/html/math_toolkit/double_exponential/de_refes.html index fc1b431147..154ea5068a 100644 --- a/doc/html/math_toolkit/double_exponential/de_refes.html +++ b/doc/html/math_toolkit/double_exponential/de_refes.html @@ -4,10 +4,11 @@ References - + + @@ -48,9 +49,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html index 932ec739d1..a8a417380a 100644 --- a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html @@ -4,10 +4,11 @@ sinh_sinh - + + @@ -77,9 +78,7 @@ } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html index 6dfd850862..1a69e60fdf 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html @@ -4,10 +4,11 @@ tanh_sinh - + + @@ -522,9 +523,7 @@
    } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html b/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html index f5afef0cde..aaba47eca6 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html @@ -4,10 +4,11 @@ Handling functions with large features near an endpoint with tanh-sinh quadrature - + + @@ -84,9 +85,7 @@ to the result faster as well.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_thread.html b/doc/html/math_toolkit/double_exponential/de_thread.html index 772e20e929..1bc0a9a82b 100644 --- a/doc/html/math_toolkit/double_exponential/de_thread.html +++ b/doc/html/math_toolkit/double_exponential/de_thread.html @@ -4,10 +4,11 @@ Thread Safety - + + @@ -47,9 +48,7 @@ and means that integrators for these types are relatively cheap to construct.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_tol.html b/doc/html/math_toolkit/double_exponential/de_tol.html index 66d19b1b8c..63ba20b152 100644 --- a/doc/html/math_toolkit/double_exponential/de_tol.html +++ b/doc/html/math_toolkit/double_exponential/de_tol.html @@ -4,10 +4,11 @@ Setting the Termination Condition for Integration - + + @@ -57,9 +58,7 @@ scheme.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint.html b/doc/html/math_toolkit/ellint.html index 6a43e16b7a..a44239f1da 100644 --- a/doc/html/math_toolkit/ellint.html +++ b/doc/html/math_toolkit/ellint.html @@ -4,10 +4,11 @@ Elliptic Integrals - + + @@ -42,9 +43,7 @@
    Heuman Lambda Function
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_1.html b/doc/html/math_toolkit/ellint/ellint_1.html index 206b27b353..125f29580f 100644 --- a/doc/html/math_toolkit/ellint/ellint_1.html +++ b/doc/html/math_toolkit/ellint/ellint_1.html @@ -4,10 +4,11 @@ Elliptic Integrals of the First Kind - Legendre Form - + + @@ -275,9 +276,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_2.html b/doc/html/math_toolkit/ellint/ellint_2.html index 21ee4204be..f405abf1f9 100644 --- a/doc/html/math_toolkit/ellint/ellint_2.html +++ b/doc/html/math_toolkit/ellint/ellint_2.html @@ -4,10 +4,11 @@ Elliptic Integrals of the Second Kind - Legendre Form - + + @@ -304,9 +305,7 @@

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_3.html b/doc/html/math_toolkit/ellint/ellint_3.html index 94d56593a5..0fbd278c50 100644 --- a/doc/html/math_toolkit/ellint/ellint_3.html +++ b/doc/html/math_toolkit/ellint/ellint_3.html @@ -4,10 +4,11 @@ Elliptic Integrals of the Third Kind - Legendre Form - + + @@ -343,9 +344,7 @@

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_carlson.html b/doc/html/math_toolkit/ellint/ellint_carlson.html index 6c7b421e1d..fd1027eb75 100644 --- a/doc/html/math_toolkit/ellint/ellint_carlson.html +++ b/doc/html/math_toolkit/ellint/ellint_carlson.html @@ -4,10 +4,11 @@ Elliptic Integrals - Carlson Form - + + @@ -981,9 +982,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_d.html b/doc/html/math_toolkit/ellint/ellint_d.html index 1a9a36e6de..440e0620ec 100644 --- a/doc/html/math_toolkit/ellint/ellint_d.html +++ b/doc/html/math_toolkit/ellint/ellint_d.html @@ -4,10 +4,11 @@ Elliptic Integral D - Legendre Form - + + @@ -362,9 +363,7 @@

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_intro.html b/doc/html/math_toolkit/ellint/ellint_intro.html index 21ae73444e..bb51386e67 100644 --- a/doc/html/math_toolkit/ellint/ellint_intro.html +++ b/doc/html/math_toolkit/ellint/ellint_intro.html @@ -4,10 +4,11 @@ Elliptic Integral Overview - + + @@ -482,9 +483,7 @@
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/heuman_lambda.html b/doc/html/math_toolkit/ellint/heuman_lambda.html index 546419f33a..23bc06cb87 100644 --- a/doc/html/math_toolkit/ellint/heuman_lambda.html +++ b/doc/html/math_toolkit/ellint/heuman_lambda.html @@ -4,10 +4,11 @@ Heuman Lambda Function - + + @@ -205,9 +206,7 @@
    definition in terms of the Jacobi Zeta is used.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/jacobi_zeta.html b/doc/html/math_toolkit/ellint/jacobi_zeta.html index ec42bd9084..6fe850a2fc 100644 --- a/doc/html/math_toolkit/ellint/jacobi_zeta.html +++ b/doc/html/math_toolkit/ellint/jacobi_zeta.html @@ -4,10 +4,11 @@ Jacobi Zeta Function - + + @@ -260,9 +261,7 @@
    is jacobi_zeta_example.cpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/error_handling.html b/doc/html/math_toolkit/error_handling.html index 8207071288..66bca356c9 100644 --- a/doc/html/math_toolkit/error_handling.html +++ b/doc/html/math_toolkit/error_handling.html @@ -4,10 +4,11 @@ Error Handling - + + @@ -1103,9 +1104,7 @@

    or denormalisation.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/estrin.html b/doc/html/math_toolkit/estrin.html index 2edc45645b..d3335ec707 100644 --- a/doc/html/math_toolkit/estrin.html +++ b/doc/html/math_toolkit/estrin.html @@ -4,10 +4,11 @@ Estrin's method for polynomial evaluation - + + @@ -84,9 +85,7 @@
    (2nd ed.). Birkhäuser. p. 58. ISBN 0-8176-4372-9. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/exact_typdefs.html b/doc/html/math_toolkit/exact_typdefs.html index 1ef25f2b17..afa1098558 100644 --- a/doc/html/math_toolkit/exact_typdefs.html +++ b/doc/html/math_toolkit/exact_typdefs.html @@ -4,10 +4,11 @@ Exact-Width Floating-Point typedefs - + + @@ -156,9 +157,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/examples.html b/doc/html/math_toolkit/examples.html index 71402a15de..9406fb7e6d 100644 --- a/doc/html/math_toolkit/examples.html +++ b/doc/html/math_toolkit/examples.html @@ -4,10 +4,11 @@ Examples - + + @@ -121,9 +122,7 @@

    normal_table<boost::floatmax_t>(); -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/exp.html b/doc/html/math_toolkit/exp.html index 2a50dbb740..56bd1b36ce 100644 --- a/doc/html/math_toolkit/exp.html +++ b/doc/html/math_toolkit/exp.html @@ -4,10 +4,11 @@ The Quaternionic Exponential - + + @@ -39,9 +40,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/expint.html b/doc/html/math_toolkit/expint.html index af6bb1d1e5..3929fd1e73 100644 --- a/doc/html/math_toolkit/expint.html +++ b/doc/html/math_toolkit/expint.html @@ -4,10 +4,11 @@ Exponential Integrals - + + @@ -31,9 +32,7 @@
    Exponential Integral Ei
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/expint/expint_i.html b/doc/html/math_toolkit/expint/expint_i.html index afb5cf1198..3809ad459c 100644 --- a/doc/html/math_toolkit/expint/expint_i.html +++ b/doc/html/math_toolkit/expint/expint_i.html @@ -4,10 +4,11 @@ Exponential Integral Ei - + + @@ -319,9 +320,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/expint/expint_n.html b/doc/html/math_toolkit/expint/expint_n.html index 7d5bb79ae5..2eb75a665f 100644 --- a/doc/html/math_toolkit/expint/expint_n.html +++ b/doc/html/math_toolkit/expint/expint_n.html @@ -4,10 +4,11 @@ Exponential Integral En - + + @@ -271,9 +272,7 @@
    is used.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials.html b/doc/html/math_toolkit/factorials.html index ff91a8e370..cf21a2a14c 100644 --- a/doc/html/math_toolkit/factorials.html +++ b/doc/html/math_toolkit/factorials.html @@ -4,10 +4,11 @@ Factorials and Binomial Coefficients - + + @@ -35,9 +36,7 @@
    Binomial Coefficients
    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_binomial.html b/doc/html/math_toolkit/factorials/sf_binomial.html index b6fd92486e..bd9520139d 100644 --- a/doc/html/math_toolkit/factorials/sf_binomial.html +++ b/doc/html/math_toolkit/factorials/sf_binomial.html @@ -4,10 +4,11 @@ Binomial Coefficients - + + @@ -127,9 +128,7 @@
    n-k))

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_double_factorial.html b/doc/html/math_toolkit/factorials/sf_double_factorial.html index 3657e24a3a..e5daf15eeb 100644 --- a/doc/html/math_toolkit/factorials/sf_double_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_double_factorial.html @@ -4,10 +4,11 @@ Double Factorial - + + @@ -143,9 +144,7 @@
    (2n-1)!! = Γ((2n+1)/2) * 2n / sqrt(pi)

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_factorial.html b/doc/html/math_toolkit/factorials/sf_factorial.html index e557c627aa..3ad5a89523 100644 --- a/doc/html/math_toolkit/factorials/sf_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_factorial.html @@ -4,10 +4,11 @@ Factorial - + + @@ -178,9 +179,7 @@
    larger arguments.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_falling_factorial.html b/doc/html/math_toolkit/factorials/sf_falling_factorial.html index c11ee4af87..530a204bf2 100644 --- a/doc/html/math_toolkit/factorials/sf_falling_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_falling_factorial.html @@ -4,10 +4,11 @@ Falling Factorial - + + @@ -91,9 +92,7 @@
    function.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_rising_factorial.html b/doc/html/math_toolkit/factorials/sf_rising_factorial.html index 6eb050bc64..e96a7de159 100644 --- a/doc/html/math_toolkit/factorials/sf_rising_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_rising_factorial.html @@ -4,10 +4,11 @@ Rising Factorial - + + @@ -96,9 +97,7 @@
    function.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fastest_typdefs.html b/doc/html/math_toolkit/fastest_typdefs.html index 2c9ef34cca..121262fbbd 100644 --- a/doc/html/math_toolkit/fastest_typdefs.html +++ b/doc/html/math_toolkit/fastest_typdefs.html @@ -4,10 +4,11 @@ Fastest floating-point typedefs - + + @@ -45,9 +46,7 @@ will also be supported, etc.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128.html b/doc/html/math_toolkit/float128.html index 9a02d4cfab..698ee654af 100644 --- a/doc/html/math_toolkit/float128.html +++ b/doc/html/math_toolkit/float128.html @@ -4,10 +4,11 @@ Implementation of Float128 type - + + @@ -153,9 +154,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128/exp_function.html b/doc/html/math_toolkit/float128/exp_function.html index 56969e456b..39f4afbf55 100644 --- a/doc/html/math_toolkit/float128/exp_function.html +++ b/doc/html/math_toolkit/float128/exp_function.html @@ -4,10 +4,11 @@ Exponential function - + + @@ -53,9 +54,7 @@ .

    -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128/overloading.html b/doc/html/math_toolkit/float128/overloading.html index 6adf16c0af..c538e0662a 100644 --- a/doc/html/math_toolkit/float128/overloading.html +++ b/doc/html/math_toolkit/float128/overloading.html @@ -4,10 +4,11 @@ Overloading template functions with float128_t - + + @@ -78,9 +79,7 @@ that we provide in #include <boost/cstdfloat.hpp>.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128/typeinfo.html b/doc/html/math_toolkit/float128/typeinfo.html index 22fbe5ef97..0df6270c50 100644 --- a/doc/html/math_toolkit/float128/typeinfo.html +++ b/doc/html/math_toolkit/float128/typeinfo.html @@ -4,10 +4,11 @@ typeinfo - + + @@ -59,9 +60,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128_hints.html b/doc/html/math_toolkit/float128_hints.html index 510574bfe8..07df24e3b6 100644 --- a/doc/html/math_toolkit/float128_hints.html +++ b/doc/html/math_toolkit/float128_hints.html @@ -4,10 +4,11 @@ Hints on using float128 (and __float128) - + + @@ -88,9 +89,7 @@
    Some examples of what can go horribly and silently wrong are at float128_example.cpp.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float_comparison.html b/doc/html/math_toolkit/float_comparison.html index f4962ef9b4..732f596c4d 100644 --- a/doc/html/math_toolkit/float_comparison.html +++ b/doc/html/math_toolkit/float_comparison.html @@ -4,10 +4,11 @@ Floating-point Comparison - + + @@ -395,9 +396,7 @@
    we may need a slightly higher value - some trial and error will be necessary).

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fourier_integrals.html b/doc/html/math_toolkit/fourier_integrals.html index e5100402ef..d03f6a78bd 100644 --- a/doc/html/math_toolkit/fourier_integrals.html +++ b/doc/html/math_toolkit/fourier_integrals.html @@ -4,10 +4,11 @@ Fourier Integrals - + + @@ -297,9 +298,7 @@
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets.html b/doc/html/math_toolkit/fp_facets.html index 19521c6039..187e2f087b 100644 --- a/doc/html/math_toolkit/fp_facets.html +++ b/doc/html/math_toolkit/fp_facets.html @@ -4,10 +4,11 @@ Facets for Floating-Point Infinities and NaNs - + + @@ -73,9 +74,7 @@
    #include <boost\math\special_functions\nonfinite_num_facets.hpp>
     
    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/examples.html b/doc/html/math_toolkit/fp_facets/examples.html index 023e42b9cf..03e6b28f27 100644 --- a/doc/html/math_toolkit/fp_facets/examples.html +++ b/doc/html/math_toolkit/fp_facets/examples.html @@ -4,10 +4,11 @@ Examples - + + @@ -239,9 +240,7 @@
    A full demonstration of serialization by Francois Mauger is at ../../example/nonfinite_num_facet_serialization.cpp

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/facets_intro.html b/doc/html/math_toolkit/fp_facets/facets_intro.html index 014ce3b1c5..c7aefcbe85 100644 --- a/doc/html/math_toolkit/fp_facets/facets_intro.html +++ b/doc/html/math_toolkit/fp_facets/facets_intro.html @@ -4,10 +4,11 @@ Introduction - + + @@ -361,9 +362,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/portability.html b/doc/html/math_toolkit/fp_facets/portability.html index bd6ded4e5a..47f2e678cf 100644 --- a/doc/html/math_toolkit/fp_facets/portability.html +++ b/doc/html/math_toolkit/fp_facets/portability.html @@ -4,10 +4,11 @@ Portability - + + @@ -32,9 +33,7 @@ See the portability information for that library.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/rationale.html b/doc/html/math_toolkit/fp_facets/rationale.html index 30b487fea1..a3c6f03601 100644 --- a/doc/html/math_toolkit/fp_facets/rationale.html +++ b/doc/html/math_toolkit/fp_facets/rationale.html @@ -4,10 +4,11 @@ Design Rationale - + + @@ -49,9 +50,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/reference.html b/doc/html/math_toolkit/fp_facets/reference.html index aea7e18b66..0fdaed850b 100644 --- a/doc/html/math_toolkit/fp_facets/reference.html +++ b/doc/html/math_toolkit/fp_facets/reference.html @@ -4,10 +4,11 @@ Reference - + + @@ -472,9 +473,7 @@
    positive and negative NaN are trapped instead.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fpclass.html b/doc/html/math_toolkit/fpclass.html index 28968ac47d..6da5857bcd 100644 --- a/doc/html/math_toolkit/fpclass.html +++ b/doc/html/math_toolkit/fpclass.html @@ -4,10 +4,11 @@ Floating-Point Classification: Infinities and NaNs - + + @@ -233,9 +234,7 @@
    infinity and NaNs.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/future.html b/doc/html/math_toolkit/future.html index 8068eb6e14..3167af062d 100644 --- a/doc/html/math_toolkit/future.html +++ b/doc/html/math_toolkit/future.html @@ -4,10 +4,11 @@ Extras/Future Directions - + + @@ -129,9 +130,7 @@
    double p = probability(acc); -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/gauss.html b/doc/html/math_toolkit/gauss.html index 70c1442609..65e566141b 100644 --- a/doc/html/math_toolkit/gauss.html +++ b/doc/html/math_toolkit/gauss.html @@ -4,10 +4,11 @@ Gauss-Legendre quadrature - + + @@ -196,9 +197,7 @@

    Which yields 0.2106572512258069881080923020669, which is accurate to 5e-28.

    -

    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/gauss_kronrod.html b/doc/html/math_toolkit/gauss_kronrod.html index fabc54db4c..3b530a9b65 100644 --- a/doc/html/math_toolkit/gauss_kronrod.html +++ b/doc/html/math_toolkit/gauss_kronrod.html @@ -4,10 +4,11 @@ Gauss-Kronrod Quadrature - + + @@ -268,9 +269,7 @@

    -

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/getting_best.html b/doc/html/math_toolkit/getting_best.html index 7af5f354d2..0137a49805 100644 --- a/doc/html/math_toolkit/getting_best.html +++ b/doc/html/math_toolkit/getting_best.html @@ -4,10 +4,11 @@ Getting the Best Performance from this Library: Compiler and Compiler Options - + + @@ -137,9 +138,7 @@
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/greatest_typdefs.html b/doc/html/math_toolkit/greatest_typdefs.html index 558c6485ce..94416cc450 100644 --- a/doc/html/math_toolkit/greatest_typdefs.html +++ b/doc/html/math_toolkit/greatest_typdefs.html @@ -4,10 +4,11 @@ Greatest-width floating-point typedef - + + @@ -77,9 +78,7 @@ BOOST_FLOAT128_C(123.4567890123456789012345678901234567890)=123.456789012345678901234567890123453 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hankel.html b/doc/html/math_toolkit/hankel.html index d5eede2313..aa3671e35c 100644 --- a/doc/html/math_toolkit/hankel.html +++ b/doc/html/math_toolkit/hankel.html @@ -4,10 +4,11 @@ Hankel Functions - + + @@ -31,9 +32,7 @@
    Spherical Hankel Functions
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hankel/cyl_hankel.html b/doc/html/math_toolkit/hankel/cyl_hankel.html index 9412a8c3f9..515ceab48f 100644 --- a/doc/html/math_toolkit/hankel/cyl_hankel.html +++ b/doc/html/math_toolkit/hankel/cyl_hankel.html @@ -4,10 +4,11 @@ Cyclic Hankel Functions - + + @@ -157,9 +158,7 @@
    for integer order are used.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hankel/sph_hankel.html b/doc/html/math_toolkit/hankel/sph_hankel.html index 4a2a424be4..bac2f410b5 100644 --- a/doc/html/math_toolkit/hankel/sph_hankel.html +++ b/doc/html/math_toolkit/hankel/sph_hankel.html @@ -4,10 +4,11 @@ Spherical Hankel Functions - + + @@ -107,9 +108,7 @@
    and cyl_hankel_2.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision.html b/doc/html/math_toolkit/high_precision.html index 0a9e1e5e2d..6aabb560eb 100644 --- a/doc/html/math_toolkit/high_precision.html +++ b/doc/html/math_toolkit/high_precision.html @@ -4,10 +4,11 @@ Using Boost.Math with High-Precision Floating-Point Libraries - + + @@ -96,9 +97,7 @@ have been demonstrated.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/e_float.html b/doc/html/math_toolkit/high_precision/e_float.html index e6ddc8d2c4..8859a945c0 100644 --- a/doc/html/math_toolkit/high_precision/e_float.html +++ b/doc/html/math_toolkit/high_precision/e_float.html @@ -4,10 +4,11 @@ Using e_float Library - + + @@ -42,9 +43,7 @@ or cpp_dec_float instead.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/float128.html b/doc/html/math_toolkit/high_precision/float128.html index 90db09b199..64c47267aa 100644 --- a/doc/html/math_toolkit/high_precision/float128.html +++ b/doc/html/math_toolkit/high_precision/float128.html @@ -4,10 +4,11 @@ Using with GCC's __float128 datatype - + + @@ -47,9 +48,7 @@ Ultimately these facilities should be provided by GCC and libstdc++.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/use_mpfr.html b/doc/html/math_toolkit/high_precision/use_mpfr.html index 08dc27d9e5..eaf04c05c8 100644 --- a/doc/html/math_toolkit/high_precision/use_mpfr.html +++ b/doc/html/math_toolkit/high_precision/use_mpfr.html @@ -4,10 +4,11 @@ Using With MPFR or GMP - High-Precision Floating-Point Library - + + @@ -90,9 +91,7 @@ and here.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/use_multiprecision.html b/doc/html/math_toolkit/high_precision/use_multiprecision.html index 579a14c081..b12ab97a67 100644 --- a/doc/html/math_toolkit/high_precision/use_multiprecision.html +++ b/doc/html/math_toolkit/high_precision/use_multiprecision.html @@ -4,10 +4,11 @@ Using Boost.Multiprecision - + + @@ -280,9 +281,7 @@
    The full source of this example is at fft_sines_table.cpp

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/use_ntl.html b/doc/html/math_toolkit/high_precision/use_ntl.html index 205ab33b0c..debdd1694e 100644 --- a/doc/html/math_toolkit/high_precision/use_ntl.html +++ b/doc/html/math_toolkit/high_precision/use_ntl.html @@ -4,10 +4,11 @@ Using NTL Library - + + @@ -55,9 +56,7 @@ There is a concept checking test program for NTL support here.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/using_test.html b/doc/html/math_toolkit/high_precision/using_test.html index 61fa29620c..a0c23bc854 100644 --- a/doc/html/math_toolkit/high_precision/using_test.html +++ b/doc/html/math_toolkit/high_precision/using_test.html @@ -4,10 +4,11 @@ Using without expression templates for Boost.Test and others - + + @@ -125,9 +126,7 @@ A full example code is at test_cpp_float_close_fraction.cpp

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/why_high_precision.html b/doc/html/math_toolkit/high_precision/why_high_precision.html index 4d73a8faec..6aea5032ff 100644 --- a/doc/html/math_toolkit/high_precision/why_high_precision.html +++ b/doc/html/math_toolkit/high_precision/why_high_precision.html @@ -4,10 +4,11 @@ Why use a high-precision library rather than built-in floating-point types? - + + @@ -121,9 +122,7 @@ (almost always) correctly rounded values.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hints.html b/doc/html/math_toolkit/hints.html index defc878cd1..933b3e209e 100644 --- a/doc/html/math_toolkit/hints.html +++ b/doc/html/math_toolkit/hints.html @@ -4,10 +4,11 @@ Other Hints and tips - + + @@ -116,9 +117,7 @@

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    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/history1.html b/doc/html/math_toolkit/history1.html index 98fb5757d4..4dfdd6e260 100644 --- a/doc/html/math_toolkit/history1.html +++ b/doc/html/math_toolkit/history1.html @@ -4,10 +4,11 @@ History and What's New - + + @@ -38,6 +39,53 @@

    + Math-4.1.1 + (Boost-1.84) +
    +
      +
    • + Improve ccmath error detection. +
    • +
    • + Remove use of deprecated std::numeric_limits<>::has_denorm, see + 1028. +
    • +
    • + Correct non-convergence bug in non-central-t distribution, see 1035. +
    • +
    • + Adjust Bessel function approximation to 1F1 to avoid taking tgamma at a + negative integer, see 1034. +
    • +
    • + Avoid spurious overflow and divide by zero in ibeta, see 1006. +
    • +
    • + Improve accuracy when using Sterling's approximation to tgamma, completes + work started in 1007. +
    • +
    • + Fix inverse_discrete_quantile for large initial guesses, see 1007. +
    • +
    • + Improve Newton root finding, see 1000. +
    • +
    • + Fix median_absolute_deviation for non-zero centre, see 997. +
    • +
    • + Fix up cstdfloat.hpp for gcc-14. +
    • +
    • + Update to work for the new types declared in <stdfloat>. +
    • +
    • + Change hypergeometric_distribution to use 64 rather than 32 bit integers + to avoid unnecessary overflow and restrictions on use. +
    • +
    +
    + Math-4.1.0 (Boost-1.82)
    @@ -115,7 +163,7 @@
    - + Math-4.0.0 (Boost-1.81)
    @@ -179,7 +227,7 @@
    - + Math-3.4.0 (Boost-1.80)
    @@ -207,7 +255,7 @@
    - + Math-3.3.0 (Boost-1.79)
    @@ -249,7 +297,7 @@
    - + Math-3.2.0 (Boost-1.78)
    @@ -286,7 +334,7 @@
    - + Math-3.1.0 (Boost-1.77)
    @@ -322,7 +370,7 @@
    - + Math-3.0.0 (Boost-1.76)
    @@ -373,7 +421,7 @@
    - + Math-2.13.0 (Boost-1.75)
    @@ -424,7 +472,7 @@
    - + Math-2.12.0 (Boost-1.73)
    @@ -466,7 +514,7 @@
    - + Math-2.11.0 (Boost-1.72)
    @@ -528,7 +576,7 @@
    - + Math-2.10.0 (Boost-1.71)
    @@ -562,7 +610,7 @@
    - + Math-2.9.0 (Boost-1.70)
    @@ -616,7 +664,7 @@
    - + Math-2.8.0 (Boost-1.69)
    @@ -673,7 +721,7 @@
    - + Math-2.7.1 (Boost-1.68)
    @@ -687,7 +735,7 @@
    - + Math-2.7.0 (Boost-1.66)
    @@ -704,7 +752,7 @@
    - + Math-2.6.0 (Boost-1.65)
    @@ -741,7 +789,7 @@
    - + Math-2.5.2 (Boost-1.64)
    @@ -758,7 +806,7 @@
    - + Math-2.5.1 (Boost-1.63)
    @@ -774,7 +822,7 @@
    - + Math-2.5.0 (Boost-1.62)
    @@ -799,7 +847,7 @@
    - + Math-2.4.0 (Boost-1.61)
    @@ -810,7 +858,7 @@
    Polynomial arithmetic added to tools.
    - + Math-2.3.0 (Boost-1.60)
    @@ -889,7 +937,7 @@
    - + Math-2.2.1

    @@ -908,7 +956,7 @@

    - + Math-2.2.0 (boost-1.58.0)
    @@ -952,7 +1000,7 @@
    - + Math-2.1.0 (boost-1.57.0)
    @@ -978,7 +1026,7 @@
    - + Math-2.0.0 (Boost-1.56.0)
    @@ -1029,7 +1077,7 @@
    - + Math-1.9.1
      @@ -1044,7 +1092,7 @@
    - + Math-1.9.0
      @@ -1111,7 +1159,7 @@
    - + Boost-1.55
      @@ -1170,7 +1218,7 @@
      and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu

      - + Boost-1.54
      @@ -1224,7 +1272,7 @@
    - + Boost-1.53
      @@ -1259,7 +1307,7 @@
    - + Boost-1.52
      @@ -1306,14 +1354,14 @@
    - + Boost-1.51

    See Boost-1.52 - some items were added but not listed in time for the release.

    - + Boost-1.50
      @@ -1350,7 +1398,7 @@
    - + Boost-1.49
      @@ -1394,7 +1442,7 @@
    - + Boost-1.48
      @@ -1445,7 +1493,7 @@
    - + Boost-1.47
      @@ -1462,7 +1510,7 @@
    - + Boost-1.46.1
    • @@ -1470,7 +1518,7 @@
      #5113.
    - + Boost-1.46.0
      @@ -1485,7 +1533,7 @@
    - + Boost-1.45.0
      @@ -1502,7 +1550,7 @@
    - + Boost-1.44.0
      @@ -1516,7 +1564,7 @@
    - + Boost-1.41.0
    • @@ -1524,7 +1572,7 @@
      its inverse.
    - + Boost-1.40.0
      @@ -1560,7 +1608,7 @@
    - + Boost-1.38.0
      @@ -1572,14 +1620,14 @@
    - + Boost-1.37.0
    • Improved accuracy and testing of the inverse hypergeometric functions.
    - + Boost-1.36.0
      @@ -1612,7 +1660,7 @@
    - + Boost-1.35.0: Post Review First Official Release
    @@ -1644,7 +1692,7 @@
    - + Milestone 4: Second Review Candidate (1st March 2007)
    @@ -1658,7 +1706,7 @@
    - + Milestone 3: First Review Candidate (31st Dec 2006)
    @@ -1686,7 +1734,7 @@
    - + Milestone 2: Released September 10th 2006
    @@ -1722,7 +1770,7 @@
    - + Milestone 1: Released March 31st 2006
    @@ -1754,9 +1802,7 @@
    Sandbox and trunk last synchonised at revision: .

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/history2.html b/doc/html/math_toolkit/history2.html index 290b0a4fee..de14e35d09 100644 --- a/doc/html/math_toolkit/history2.html +++ b/doc/html/math_toolkit/history2.html @@ -4,10 +4,11 @@ History and What's New - + + @@ -38,6 +39,53 @@

    + Math-4.1.1 + (Boost-1.84) +
    +
      +
    • + Improve ccmath error detection. +
    • +
    • + Remove use of deprecated std::numeric_limits<>::has_denorm, see + 1028. +
    • +
    • + Correct non-convergence bug in non-central-t distribution, see 1035. +
    • +
    • + Adjust Bessel function approximation to 1F1 to avoid taking tgamma at a + negative integer, see 1034. +
    • +
    • + Avoid spurious overflow and divide by zero in ibeta, see 1006. +
    • +
    • + Improve accuracy when using Sterling's approximation to tgamma, completes + work started in 1007. +
    • +
    • + Fix inverse_discrete_quantile for large initial guesses, see 1007. +
    • +
    • + Improve Newton root finding, see 1000. +
    • +
    • + Fix median_absolute_deviation for non-zero centre, see 997. +
    • +
    • + Fix up cstdfloat.hpp for gcc-14. +
    • +
    • + Update to work for the new types declared in <stdfloat>. +
    • +
    • + Change hypergeometric_distribution to use 64 rather than 32 bit integers + to avoid unnecessary overflow and restrictions on use. +
    • +
    +
    + Math-4.1.0 (Boost-1.82)
    @@ -115,7 +163,7 @@
    - + Math-4.0.0 (Boost-1.81)
    @@ -179,7 +227,7 @@
    - + Math-3.4.0 (Boost-1.80)
    @@ -207,7 +255,7 @@
    - + Math-3.3.0 (Boost-1.79)
    @@ -249,7 +297,7 @@
    - + Math-3.2.0 (Boost-1.78)
    @@ -286,7 +334,7 @@
    - + Math-3.1.0 (Boost-1.77)
    @@ -322,7 +370,7 @@
    - + Math-3.0.0 (Boost-1.76)
    @@ -373,7 +421,7 @@
    - + Math-2.13.0 (Boost-1.75)
    @@ -424,7 +472,7 @@
    - + Math-2.12.0 (Boost-1.73)
    @@ -466,7 +514,7 @@
    - + Math-2.11.0 (Boost-1.72)
    @@ -528,7 +576,7 @@
    - + Math-2.10.0 (Boost-1.71)
    @@ -562,7 +610,7 @@
    - + Math-2.9.0 (Boost-1.70)
    @@ -616,7 +664,7 @@
    - + Math-2.8.0 (Boost-1.69)
    @@ -673,7 +721,7 @@
    - + Math-2.7.1 (Boost-1.68)
    @@ -687,7 +735,7 @@
    - + Math-2.7.0 (Boost-1.66)
    @@ -704,7 +752,7 @@
    - + Math-2.6.0 (Boost-1.65)
    @@ -741,7 +789,7 @@
    - + Math-2.5.2 (Boost-1.64)
    @@ -758,7 +806,7 @@
    - + Math-2.5.1 (Boost-1.63)
    @@ -774,7 +822,7 @@
    - + Math-2.5.0 (Boost-1.62)
    @@ -799,7 +847,7 @@
    - + Math-2.4.0 (Boost-1.61)
    @@ -810,7 +858,7 @@
    Polynomial arithmetic added to tools.
    - + Math-2.3.0 (Boost-1.60)
    @@ -889,7 +937,7 @@
    - + Math-2.2.1

    @@ -908,7 +956,7 @@

    - + Math-2.2.0 (boost-1.58.0)
    @@ -952,7 +1000,7 @@
    - + Math-2.1.0 (boost-1.57.0)
    @@ -978,7 +1026,7 @@
    - + Math-2.0.0 (Boost-1.56.0)
    @@ -1029,7 +1077,7 @@
    - + Math-1.9.1
      @@ -1044,7 +1092,7 @@
    - + Math-1.9.0
      @@ -1111,7 +1159,7 @@
    - + Boost-1.55
      @@ -1170,7 +1218,7 @@
      and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu

      - + Boost-1.54
      @@ -1224,7 +1272,7 @@
    - + Boost-1.53
      @@ -1259,7 +1307,7 @@
    - + Boost-1.52
      @@ -1306,14 +1354,14 @@
    - + Boost-1.51

    See Boost-1.52 - some items were added but not listed in time for the release.

    - + Boost-1.50
      @@ -1350,7 +1398,7 @@
    - + Boost-1.49
      @@ -1394,7 +1442,7 @@
    - + Boost-1.48
      @@ -1445,7 +1493,7 @@
    - + Boost-1.47
      @@ -1462,7 +1510,7 @@
    - + Boost-1.46.1
    • @@ -1470,7 +1518,7 @@
      #5113.
    - + Boost-1.46.0
      @@ -1485,7 +1533,7 @@
    - + Boost-1.45.0
      @@ -1502,7 +1550,7 @@
    - + Boost-1.44.0
      @@ -1516,7 +1564,7 @@
    - + Boost-1.41.0
    • @@ -1524,7 +1572,7 @@
      its inverse.
    - + Boost-1.40.0
      @@ -1560,7 +1608,7 @@
    - + Boost-1.38.0
      @@ -1572,14 +1620,14 @@
    - + Boost-1.37.0
    • Improved accuracy and testing of the inverse hypergeometric functions.
    - + Boost-1.36.0
      @@ -1612,7 +1660,7 @@
    - + Boost-1.35.0: Post Review First Official Release
    @@ -1644,7 +1692,7 @@
    - + Milestone 4: Second Review Candidate (1st March 2007)
    @@ -1658,7 +1706,7 @@
    - + Milestone 3: First Review Candidate (31st Dec 2006)
    @@ -1686,7 +1734,7 @@
    - + Milestone 2: Released September 10th 2006
    @@ -1722,7 +1770,7 @@
    - + Milestone 1: Released March 31st 2006
    @@ -1754,9 +1802,7 @@
    Sandbox and trunk last synchonised at revision: .

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric.html b/doc/html/math_toolkit/hypergeometric.html index a00a07a330..f2b82cef28 100644 --- a/doc/html/math_toolkit/hypergeometric.html +++ b/doc/html/math_toolkit/hypergeometric.html @@ -4,10 +4,11 @@ Hypergeometric Functions - + + @@ -41,9 +42,7 @@ References -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html index 896e86e06b..cfbb85f1e3 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html @@ -4,10 +4,11 @@ Hypergeometric 0F1 - + + @@ -93,9 +94,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html index d3359ab2b4..8ce4389812 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html @@ -4,10 +4,11 @@ Hypergeometric 1F0 - + + @@ -81,9 +82,7 @@
    1F0(a, z) = (1-z)-a

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html index d4c3df9b9a..dfd2a36608 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html @@ -4,10 +4,11 @@ Hypergeometric 1F1 - + + @@ -772,9 +773,7 @@
    if more than half the digits are destroyed by cancellation.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html index a9001e984c..31b2540b3f 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html @@ -4,10 +4,11 @@ Hypergeometric 2F0 - + + @@ -102,9 +103,7 @@
    Otherwise we use the defining series.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html index 3181281415..fbb7193728 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html @@ -4,10 +4,11 @@ Hypergeometric pFq - + + @@ -139,9 +140,7 @@
    via logarithms.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html index 6b4b09598e..51d697e7e6 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html @@ -4,10 +4,11 @@ Hypergeometric References - + + @@ -91,9 +92,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals.html b/doc/html/math_toolkit/internals.html index 07b265fc23..4e2a0856af 100644 --- a/doc/html/math_toolkit/internals.html +++ b/doc/html/math_toolkit/internals.html @@ -4,10 +4,11 @@ Internal tools - + + @@ -49,9 +50,7 @@
    Color Maps
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/agm.html b/doc/html/math_toolkit/internals/agm.html index b9c89bd6d7..9637275360 100644 --- a/doc/html/math_toolkit/internals/agm.html +++ b/doc/html/math_toolkit/internals/agm.html @@ -4,10 +4,11 @@ Arithmetic-Geometric Mean - + + @@ -116,9 +117,7 @@
    2003. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/centered_continued_fraction.html b/doc/html/math_toolkit/internals/centered_continued_fraction.html index 0706f5e6e7..02dbdcbf6b 100644 --- a/doc/html/math_toolkit/internals/centered_continued_fraction.html +++ b/doc/html/math_toolkit/internals/centered_continued_fraction.html @@ -4,10 +4,11 @@ Centered Continued Fractions - + + @@ -87,9 +88,7 @@ respect to its characterization as a centered continued fraction.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/cf.html b/doc/html/math_toolkit/internals/cf.html index 7ef644f0a7..d0c89c2e82 100644 --- a/doc/html/math_toolkit/internals/cf.html +++ b/doc/html/math_toolkit/internals/cf.html @@ -4,10 +4,11 @@ Continued Fraction Evaluation - + + @@ -367,9 +368,7 @@
    } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/cohen_acceleration.html b/doc/html/math_toolkit/internals/cohen_acceleration.html index 5b88a9b053..e504fbc63d 100644 --- a/doc/html/math_toolkit/internals/cohen_acceleration.html +++ b/doc/html/math_toolkit/internals/cohen_acceleration.html @@ -4,10 +4,11 @@ Cohen Acceleration - + + @@ -151,9 +152,7 @@
    9.1 (2000): 3-12. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/color_maps.html b/doc/html/math_toolkit/internals/color_maps.html index be499c5b24..b234275133 100644 --- a/doc/html/math_toolkit/internals/color_maps.html +++ b/doc/html/math_toolkit/internals/color_maps.html @@ -4,10 +4,11 @@ Color Maps - + + @@ -156,9 +157,7 @@
    About it . -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/engel_expansion.html b/doc/html/math_toolkit/internals/engel_expansion.html index 738844dd8c..f57df92bfc 100644 --- a/doc/html/math_toolkit/internals/engel_expansion.html +++ b/doc/html/math_toolkit/internals/engel_expansion.html @@ -4,10 +4,11 @@ Engel Expansion - + + @@ -65,9 +66,7 @@ autoengel=engel_expansion<__float128,checked_int1024_t>(pi<__float128>()); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/error_test.html b/doc/html/math_toolkit/internals/error_test.html index 8ab8f65984..90ff11fcd2 100644 --- a/doc/html/math_toolkit/internals/error_test.html +++ b/doc/html/math_toolkit/internals/error_test.html @@ -4,10 +4,11 @@ Relative Error and Testing - + + @@ -220,9 +221,7 @@
    // -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/luroth_expansion.html b/doc/html/math_toolkit/internals/luroth_expansion.html index 8ccaf8cdea..dc92fae641 100644 --- a/doc/html/math_toolkit/internals/luroth_expansion.html +++ b/doc/html/math_toolkit/internals/luroth_expansion.html @@ -4,10 +4,11 @@ Luroth Expansions - + + @@ -97,9 +98,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/minimax.html b/doc/html/math_toolkit/internals/minimax.html index 40b1d9dc35..2b7004ce1c 100644 --- a/doc/html/math_toolkit/internals/minimax.html +++ b/doc/html/math_toolkit/internals/minimax.html @@ -4,10 +4,11 @@ Minimax Approximations and the Remez Algorithm - + + @@ -265,9 +266,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/recurrence.html b/doc/html/math_toolkit/internals/recurrence.html index 9a2160e039..dcd27f0261 100644 --- a/doc/html/math_toolkit/internals/recurrence.html +++ b/doc/html/math_toolkit/internals/recurrence.html @@ -4,10 +4,11 @@ Tools For 3-Term Recurrence Relations - + + @@ -283,9 +284,7 @@
    returned successively to Fn-1, Fn-2 etc.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/series_evaluation.html b/doc/html/math_toolkit/internals/series_evaluation.html index 5d345dfdab..9fe60a3542 100644 --- a/doc/html/math_toolkit/internals/series_evaluation.html +++ b/doc/html/math_toolkit/internals/series_evaluation.html @@ -4,10 +4,11 @@ Series Evaluation - + + @@ -234,9 +235,7 @@
    examples.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/simple_continued_fraction.html b/doc/html/math_toolkit/internals/simple_continued_fraction.html index 213e766c38..3ce36560d7 100644 --- a/doc/html/math_toolkit/internals/simple_continued_fraction.html +++ b/doc/html/math_toolkit/internals/simple_continued_fraction.html @@ -4,10 +4,11 @@ Simple Continued Fractions - + + @@ -102,9 +103,7 @@ geometric mean is precisely 2.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/test_data.html b/doc/html/math_toolkit/internals/test_data.html index ce368af8fa..2e9229699d 100644 --- a/doc/html/math_toolkit/internals/test_data.html +++ b/doc/html/math_toolkit/internals/test_data.html @@ -4,10 +4,11 @@ Graphing, Profiling, and Generating Test Data for Special Functions - + + @@ -545,9 +546,7 @@
    need for the original pseudo-parameter to be included in program output.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/tuples.html b/doc/html/math_toolkit/internals/tuples.html index 611d066749..712f114782 100644 --- a/doc/html/math_toolkit/internals/tuples.html +++ b/doc/html/math_toolkit/internals/tuples.html @@ -4,10 +4,11 @@ Tuples - + + @@ -66,9 +67,7 @@
    portability.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals_overview.html b/doc/html/math_toolkit/internals_overview.html index 4be3427097..7e15f059a7 100644 --- a/doc/html/math_toolkit/internals_overview.html +++ b/doc/html/math_toolkit/internals_overview.html @@ -4,10 +4,11 @@ Overview - + + @@ -42,9 +43,7 @@ submissions to this library.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/interp.html b/doc/html/math_toolkit/interp.html index b025267027..fa33d5019c 100644 --- a/doc/html/math_toolkit/interp.html +++ b/doc/html/math_toolkit/interp.html @@ -4,10 +4,11 @@ Interpreting these Results - + + @@ -55,9 +56,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/intro_pol_overview.html b/doc/html/math_toolkit/intro_pol_overview.html index 172d994ff3..bdb428749f 100644 --- a/doc/html/math_toolkit/intro_pol_overview.html +++ b/doc/html/math_toolkit/intro_pol_overview.html @@ -4,10 +4,11 @@ Policies - + + @@ -99,9 +100,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper.html b/doc/html/math_toolkit/inv_hyper.html index 548d02ad61..32b68b3b47 100644 --- a/doc/html/math_toolkit/inv_hyper.html +++ b/doc/html/math_toolkit/inv_hyper.html @@ -4,10 +4,11 @@ Inverse Hyperbolic Functions - + + @@ -34,9 +35,7 @@
    atanh
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper/acosh.html b/doc/html/math_toolkit/inv_hyper/acosh.html index 1daa9605f9..da1af1d83a 100644 --- a/doc/html/math_toolkit/inv_hyper/acosh.html +++ b/doc/html/math_toolkit/inv_hyper/acosh.html @@ -4,10 +4,11 @@ acosh - + + @@ -117,9 +118,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper/asinh.html b/doc/html/math_toolkit/inv_hyper/asinh.html index 0cf7d5d5e9..bfc1b4071e 100644 --- a/doc/html/math_toolkit/inv_hyper/asinh.html +++ b/doc/html/math_toolkit/inv_hyper/asinh.html @@ -4,10 +4,11 @@ asinh - + + @@ -112,9 +113,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper/atanh.html b/doc/html/math_toolkit/inv_hyper/atanh.html index 6173d76876..be189fb04e 100644 --- a/doc/html/math_toolkit/inv_hyper/atanh.html +++ b/doc/html/math_toolkit/inv_hyper/atanh.html @@ -4,10 +4,11 @@ atanh - + + @@ -121,9 +122,7 @@
    is used.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html index 50848f8d38..e1cc07b261 100644 --- a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html +++ b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html @@ -4,10 +4,11 @@ Inverse Hyperbolic Functions Overview - + + @@ -132,9 +133,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/issues.html b/doc/html/math_toolkit/issues.html index bbd93c6c83..3622a3478a 100644 --- a/doc/html/math_toolkit/issues.html +++ b/doc/html/math_toolkit/issues.html @@ -4,10 +4,11 @@ Known Issues, and TODO List - + + @@ -1188,9 +1189,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi.html b/doc/html/math_toolkit/jacobi.html index 7e889fd1bf..896244ca97 100644 --- a/doc/html/math_toolkit/jacobi.html +++ b/doc/html/math_toolkit/jacobi.html @@ -4,10 +4,11 @@ Jacobi Elliptic Functions - + + @@ -57,9 +58,7 @@ sn -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jac_over.html b/doc/html/math_toolkit/jacobi/jac_over.html index 5ad7acc799..d50bb11696 100644 --- a/doc/html/math_toolkit/jacobi/jac_over.html +++ b/doc/html/math_toolkit/jacobi/jac_over.html @@ -4,10 +4,11 @@ Overview of the Jacobi Elliptic Functions - + + @@ -119,9 +120,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_cd.html b/doc/html/math_toolkit/jacobi/jacobi_cd.html index 6e1bb01356..caedb1328a 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cd.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function cd - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_cn.html b/doc/html/math_toolkit/jacobi/jacobi_cn.html index ec535074df..2c8b29f4a4 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cn.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function cn - + + @@ -64,9 +65,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_cs.html b/doc/html/math_toolkit/jacobi/jacobi_cs.html index c8fcba93e9..5f48391c94 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cs.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cs.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function cs - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_dc.html b/doc/html/math_toolkit/jacobi/jacobi_dc.html index b1bd60360d..e9d4c07af5 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dc.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function dc - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_dn.html b/doc/html/math_toolkit/jacobi/jacobi_dn.html index 5444c77670..c76b16b7bf 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dn.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function dn - + + @@ -64,9 +65,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_ds.html b/doc/html/math_toolkit/jacobi/jacobi_ds.html index ef749c44b0..4aa916b2e7 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ds.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ds.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function ds - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html index 2ecae058fe..4447204dc6 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html +++ b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html @@ -4,10 +4,11 @@ Jacobi Elliptic SN, CN and DN - + + @@ -754,9 +755,7 @@
    geometric means.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_nc.html b/doc/html/math_toolkit/jacobi/jacobi_nc.html index 33e52e2c39..778027e45e 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nc.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function nc - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_nd.html b/doc/html/math_toolkit/jacobi/jacobi_nd.html index b45b3a96e8..d810fdcfb7 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nd.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function nd - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_ns.html b/doc/html/math_toolkit/jacobi/jacobi_ns.html index 4a4b98868f..9a9ad99a98 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ns.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ns.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function ns - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_sc.html b/doc/html/math_toolkit/jacobi/jacobi_sc.html index b1c8a62f58..4ed248f20d 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sc.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function sc - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_sd.html b/doc/html/math_toolkit/jacobi/jacobi_sd.html index 9d415832a0..a715ada557 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sd.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function sd - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_sn.html b/doc/html/math_toolkit/jacobi/jacobi_sn.html index 348626cf69..b7f7e74246 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sn.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function sn - + + @@ -64,9 +65,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta.html b/doc/html/math_toolkit/jacobi_theta.html index d9087cbc25..58cf0232e6 100644 --- a/doc/html/math_toolkit/jacobi_theta.html +++ b/doc/html/math_toolkit/jacobi_theta.html @@ -4,10 +4,11 @@ Jacobi Theta Functions - + + @@ -39,9 +40,7 @@ Function θ4 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html index 8ca3f0a715..f061b15f2d 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html @@ -4,10 +4,11 @@ Jacobi Theta Function θ1 - + + @@ -133,9 +134,7 @@
    in a small number of iterations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html index d59dd9791d..6833348451 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html @@ -4,10 +4,11 @@ Jacobi Theta Function θ2 - + + @@ -133,9 +134,7 @@
    in a small number of iterations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html index deea68a796..e2520c8b09 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html @@ -4,10 +4,11 @@ Jacobi Theta Function θ3 - + + @@ -150,9 +151,7 @@
    in a small number of iterations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html index ae5006a166..cc37e870e3 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html @@ -4,10 +4,11 @@ Jacobi Theta Function θ4 - + + @@ -150,9 +151,7 @@
    in a small number of iterations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html index 9eab9402ae..896167e4c2 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html @@ -4,10 +4,11 @@ Overview of the Jacobi Theta Functions - + + @@ -156,9 +157,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/lambert_w.html b/doc/html/math_toolkit/lambert_w.html index 8fac2c1a7b..fa00f1a330 100644 --- a/doc/html/math_toolkit/lambert_w.html +++ b/doc/html/math_toolkit/lambert_w.html @@ -4,10 +4,11 @@ Lambert W function - + + @@ -705,8 +706,9 @@

    z < -std::numeric_limits<T>::min(), means that z is zero or denormalized - (if std::numeric_limits<T>::has_denorm_min == - true), for example: r = lambert_wm1(-std::numeric_limits<double>::denorm_min()); + (if boost::math::detail::has_denorm_now<T>() == true), + for example: r = + lambert_wm1(-std::numeric_limits<double>::denorm_min()); and an overflow_error exception is thrown, and will give a message like:

    @@ -1907,9 +1909,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/lanczos.html b/doc/html/math_toolkit/lanczos.html index cd9323de67..80b54f502c 100644 --- a/doc/html/math_toolkit/lanczos.html +++ b/doc/html/math_toolkit/lanczos.html @@ -4,10 +4,11 @@ The Lanczos Approximation - + + @@ -568,9 +569,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/linear_regression.html b/doc/html/math_toolkit/linear_regression.html index 71a06032c7..060bf019e9 100644 --- a/doc/html/math_toolkit/linear_regression.html +++ b/doc/html/math_toolkit/linear_regression.html @@ -4,10 +4,11 @@ Linear Regression - + - + + @@ -20,7 +21,7 @@

    -PrevUpHomeNext +PrevUpHomeNext

    @@ -211,9 +212,7 @@

    BMSimpleOrdinaryLeastSquaresWRSquared<double>_RMS 1 %

    - - - -
    +

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/math_toolkit/ljung_box.html b/doc/html/math_toolkit/ljung_box.html index 53b0261142..edba513b69 100644 --- a/doc/html/math_toolkit/ljung_box.html +++ b/doc/html/math_toolkit/ljung_box.html @@ -4,10 +4,11 @@ The Ljung-Box Test - + + @@ -114,9 +115,7 @@

    p + q.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/logs_and_tables.html b/doc/html/math_toolkit/logs_and_tables.html index d3d2a639d1..5dba04f38f 100644 --- a/doc/html/math_toolkit/logs_and_tables.html +++ b/doc/html/math_toolkit/logs_and_tables.html @@ -4,10 +4,11 @@ Error logs and tables - + + @@ -33,9 +34,7 @@ Rate Tables -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/logs_and_tables/all_table.html b/doc/html/math_toolkit/logs_and_tables/all_table.html index a02eac14c7..0f3c9cffe9 100644 --- a/doc/html/math_toolkit/logs_and_tables/all_table.html +++ b/doc/html/math_toolkit/logs_and_tables/all_table.html @@ -4,10 +4,11 @@ Tables of Error Rates for all Functions - + + @@ -12046,9 +12047,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/logs_and_tables/logs.html b/doc/html/math_toolkit/logs_and_tables/logs.html index eeb0b33b89..74ae8541fc 100644 --- a/doc/html/math_toolkit/logs_and_tables/logs.html +++ b/doc/html/math_toolkit/logs_and_tables/logs.html @@ -4,10 +4,11 @@ Error Logs For Error Rate Tables - + + @@ -3139,9 +3140,7 @@
    30, 6.33825e+29, -0
    underflow
    30, 1.26765e+30, -0

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/macros.html b/doc/html/math_toolkit/macros.html index 942619c495..d1194f3cf4 100644 --- a/doc/html/math_toolkit/macros.html +++ b/doc/html/math_toolkit/macros.html @@ -4,10 +4,11 @@ Floating-Point Constant Macros - + + @@ -69,9 +70,7 @@ See the complete list of constants.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/main_faq.html b/doc/html/math_toolkit/main_faq.html index 8c380f5912..c56890de5e 100644 --- a/doc/html/math_toolkit/main_faq.html +++ b/doc/html/math_toolkit/main_faq.html @@ -4,10 +4,11 @@ Boost.Math Frequently Asked Questions (FAQs) - + + @@ -368,9 +369,7 @@ needed for your application.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/main_intro.html b/doc/html/math_toolkit/main_intro.html index b37d4ddc24..6b033b2c98 100644 --- a/doc/html/math_toolkit/main_intro.html +++ b/doc/html/math_toolkit/main_intro.html @@ -4,10 +4,11 @@ About the Math Toolkit - + + @@ -178,9 +179,7 @@
    (forward mode) of mathematical functions of single and multiple variables.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/main_tr1.html b/doc/html/math_toolkit/main_tr1.html index 8d1b2bc829..d8c4d8c58b 100644 --- a/doc/html/math_toolkit/main_tr1.html +++ b/doc/html/math_toolkit/main_tr1.html @@ -4,10 +4,11 @@ C99 and TR1 C Functions Overview - + + @@ -598,9 +599,7 @@
    long double x); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/makima.html b/doc/html/math_toolkit/makima.html index 9169fcfa08..c308ecae44 100644 --- a/doc/html/math_toolkit/makima.html +++ b/doc/html/math_toolkit/makima.html @@ -4,10 +4,11 @@ Modified Akima interpolation - + + @@ -126,9 +127,7 @@

    since this object simply constructs derivatives and forwards the data to cubic_hermite.hpp.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/mem_typedef.html b/doc/html/math_toolkit/mem_typedef.html index 047e633e2d..ca2370fff3 100644 --- a/doc/html/math_toolkit/mem_typedef.html +++ b/doc/html/math_toolkit/mem_typedef.html @@ -4,10 +4,11 @@ Quaternion Member Typedefs - + + @@ -53,9 +54,7 @@ These provide easy access to the type the template is built upon.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/minimum_typdefs.html b/doc/html/math_toolkit/minimum_typdefs.html index 24f32457e1..75aa1b02f3 100644 --- a/doc/html/math_toolkit/minimum_typdefs.html +++ b/doc/html/math_toolkit/minimum_typdefs.html @@ -4,10 +4,11 @@ Minimum-width floating-point typedefs - + + @@ -43,9 +44,7 @@ will also be supported, etc.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/multiprecision.html b/doc/html/math_toolkit/multiprecision.html index 981a5c3e16..7680172984 100644 --- a/doc/html/math_toolkit/multiprecision.html +++ b/doc/html/math_toolkit/multiprecision.html @@ -4,10 +4,11 @@ Cost of High-Precision Non-built-in Floating-point - + + @@ -107,9 +108,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/naive_monte_carlo.html b/doc/html/math_toolkit/naive_monte_carlo.html index 8231578d04..50431971a6 100644 --- a/doc/html/math_toolkit/naive_monte_carlo.html +++ b/doc/html/math_toolkit/naive_monte_carlo.html @@ -4,10 +4,11 @@ Naive Monte Carlo Integration - + + @@ -218,9 +219,7 @@

    naive_monte_carlo<Real, decltype(g), std::mt19937> mc(g, bounds, (Real) 0.001);
     
    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/namespaces.html b/doc/html/math_toolkit/namespaces.html index 91675be026..9055183fe4 100644 --- a/doc/html/math_toolkit/namespaces.html +++ b/doc/html/math_toolkit/namespaces.html @@ -4,10 +4,11 @@ Namespaces - + + @@ -86,9 +87,7 @@

    - - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/navigation.html b/doc/html/math_toolkit/navigation.html index f96ffccc10..d04cd30c12 100644 --- a/doc/html/math_toolkit/navigation.html +++ b/doc/html/math_toolkit/navigation.html @@ -4,10 +4,11 @@ Navigation - + + @@ -27,7 +28,7 @@ Navigation

    - +

    Boost.Math documentation is provided in both HTML and PDF formats. @@ -85,9 +86,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/new_const.html b/doc/html/math_toolkit/new_const.html index 66ee6754b4..ee168e19f3 100644 --- a/doc/html/math_toolkit/new_const.html +++ b/doc/html/math_toolkit/new_const.html @@ -4,10 +4,11 @@ Defining New Constants - + + @@ -244,9 +245,7 @@ }// namespace boost -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float.html b/doc/html/math_toolkit/next_float.html index 99b353d1f7..19aa6a13e5 100644 --- a/doc/html/math_toolkit/next_float.html +++ b/doc/html/math_toolkit/next_float.html @@ -4,10 +4,11 @@ Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values - + + @@ -97,9 +98,7 @@ plots reveal math-function accuracy.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/float_advance.html b/doc/html/math_toolkit/next_float/float_advance.html index 1d4d28bdd3..20193660d3 100644 --- a/doc/html/math_toolkit/next_float/float_advance.html +++ b/doc/html/math_toolkit/next_float/float_advance.html @@ -4,10 +4,11 @@ Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance - + + @@ -53,9 +54,7 @@
    Returns a floating-point number r such that float_distance(val, r) == distance.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/float_distance.html b/doc/html/math_toolkit/next_float/float_distance.html index c3d449584e..1c8956b4a9 100644 --- a/doc/html/math_toolkit/next_float/float_distance.html +++ b/doc/html/math_toolkit/next_float/float_distance.html @@ -4,10 +4,11 @@ Calculating the Representation Distance Between Two floating-point Values (ULP) float_distance - + + @@ -87,9 +88,7 @@
    an exact integer by type FPT, but in practice this is unlikely to be a issue.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/float_next.html b/doc/html/math_toolkit/next_float/float_next.html index c556bfa826..65cd2cec44 100644 --- a/doc/html/math_toolkit/next_float/float_next.html +++ b/doc/html/math_toolkit/next_float/float_next.html @@ -4,10 +4,11 @@ Finding the Next Greater Representable Value (float_next) - + + @@ -57,9 +58,7 @@
    nextafter(val, (std::numeric_limits<FPT>::max)());
     
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/float_prior.html b/doc/html/math_toolkit/next_float/float_prior.html index 9cb59d9963..de078e9c5b 100644 --- a/doc/html/math_toolkit/next_float/float_prior.html +++ b/doc/html/math_toolkit/next_float/float_prior.html @@ -4,10 +4,11 @@ Finding the Next Smaller Representable Value (float_prior) - + + @@ -57,9 +58,7 @@
    nextafter(val, -(std::numeric_limits<FPT>::max)());  // Note most negative value -max.
     
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/nextafter.html b/doc/html/math_toolkit/next_float/nextafter.html index 0e6b80d267..9b4b9342ce 100644 --- a/doc/html/math_toolkit/next_float/nextafter.html +++ b/doc/html/math_toolkit/next_float/nextafter.html @@ -4,10 +4,11 @@ Finding the Next Representable Value in a Specific Direction (nextafter) - + + @@ -111,9 +112,7 @@
    nextafter(0.1F, 10) is 0.099999994 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/ulp.html b/doc/html/math_toolkit/next_float/ulp.html index 487326bb12..86959c37ac 100644 --- a/doc/html/math_toolkit/next_float/ulp.html +++ b/doc/html/math_toolkit/next_float/ulp.html @@ -4,10 +4,11 @@ Obtaining the Size of a Unit In the Last Place - ULP - + + @@ -109,11 +110,10 @@
    When the argument becomes very small, it may be that there is no floating-point value that represents one ULP. Whether this is the case or not depends not only on whether the hardware may sometimes support - denormals (as signalled by std::numeric_limits<FPT>::has_denorm), - but also whether these are currently enabled at runtime (for example - on SSE hardware, the DAZ or FTZ flags will disable denormal support). - In this situation, the ulp - function may return a value that is many orders of magnitude too large. + denormals (as signalled by boost::math::detail::has_denorm_now<FPT>()), but also whether these are currently + enabled at runtime (for example on SSE hardware, the DAZ or FTZ flags + will disable denormal support). In this situation, the ulp function may return a value that + is many orders of magnitude too large.

    @@ -145,9 +145,7 @@

    xc) / ulp(xt).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/norms.html b/doc/html/math_toolkit/norms.html index 8a656bf443..8da588c41e 100644 --- a/doc/html/math_toolkit/norms.html +++ b/doc/html/math_toolkit/norms.html @@ -4,10 +4,11 @@ Norms - + + @@ -360,9 +361,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series.html b/doc/html/math_toolkit/number_series.html index 8ecbc138d4..0f85421c9e 100644 --- a/doc/html/math_toolkit/number_series.html +++ b/doc/html/math_toolkit/number_series.html @@ -4,10 +4,11 @@ Number Series - + + @@ -35,9 +36,7 @@ Numbers -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series/bernoulli_numbers.html b/doc/html/math_toolkit/number_series/bernoulli_numbers.html index ec16aa3bfe..0ecd875026 100644 --- a/doc/html/math_toolkit/number_series/bernoulli_numbers.html +++ b/doc/html/math_toolkit/number_series/bernoulli_numbers.html @@ -4,10 +4,11 @@ Bernoulli Numbers - + + @@ -365,9 +366,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series/fibonacci_numbers.html b/doc/html/math_toolkit/number_series/fibonacci_numbers.html index d76286d0fb..b543d86b6d 100644 --- a/doc/html/math_toolkit/number_series/fibonacci_numbers.html +++ b/doc/html/math_toolkit/number_series/fibonacci_numbers.html @@ -4,10 +4,11 @@ Fibonacci Numbers - + + @@ -178,9 +179,7 @@
    version.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series/primes.html b/doc/html/math_toolkit/number_series/primes.html index bcad5eaec9..10e8499bc7 100644 --- a/doc/html/math_toolkit/number_series/primes.html +++ b/doc/html/math_toolkit/number_series/primes.html @@ -4,10 +4,11 @@ Prime Numbers - + + @@ -69,9 +70,7 @@
    if the compiler supports C++14 constexpr functions.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series/tangent_numbers.html b/doc/html/math_toolkit/number_series/tangent_numbers.html index be8a1f3cfc..885a4494ae 100644 --- a/doc/html/math_toolkit/number_series/tangent_numbers.html +++ b/doc/html/math_toolkit/number_series/tangent_numbers.html @@ -4,10 +4,11 @@ Tangent Numbers - + + @@ -121,9 +122,7 @@
    numbers documentation for details.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_create.html b/doc/html/math_toolkit/oct_create.html index e76ecdb9ca..418c7a51d0 100644 --- a/doc/html/math_toolkit/oct_create.html +++ b/doc/html/math_toolkit/oct_create.html @@ -4,10 +4,11 @@ Octonion Creation Functions - + + @@ -65,9 +66,7 @@ the complex value operation arg as the situation is somewhat more complicated.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_header.html b/doc/html/math_toolkit/oct_header.html index 5679493fa9..203014293f 100644 --- a/doc/html/math_toolkit/oct_header.html +++ b/doc/html/math_toolkit/oct_header.html @@ -4,10 +4,11 @@ Header File - + + @@ -30,9 +31,7 @@ The interface and implementation are both supplied by the header file octonion.hpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_history.html b/doc/html/math_toolkit/oct_history.html index b8036cd066..1afae0c892 100644 --- a/doc/html/math_toolkit/oct_history.html +++ b/doc/html/math_toolkit/oct_history.html @@ -4,10 +4,11 @@ History - + + @@ -92,9 +93,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_mem_fun.html b/doc/html/math_toolkit/oct_mem_fun.html index 35b6cbdf1d..5cc4caa125 100644 --- a/doc/html/math_toolkit/oct_mem_fun.html +++ b/doc/html/math_toolkit/oct_mem_fun.html @@ -4,10 +4,11 @@ Octonion Member Functions - + + @@ -240,9 +241,7 @@
    for the multiplication, remember to group any two factors using parenthesis.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_non_mem.html b/doc/html/math_toolkit/oct_non_mem.html index 388f9949b8..9ecc4cbbad 100644 --- a/doc/html/math_toolkit/oct_non_mem.html +++ b/doc/html/math_toolkit/oct_non_mem.html @@ -4,10 +4,11 @@ Octonion Non-Member Operators - + + @@ -204,9 +205,7 @@
    } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_overview.html b/doc/html/math_toolkit/oct_overview.html index b7060d92aa..4ac38cc492 100644 --- a/doc/html/math_toolkit/oct_overview.html +++ b/doc/html/math_toolkit/oct_overview.html @@ -4,10 +4,11 @@ Overview - + + @@ -67,9 +68,7 @@ known since quite a long time ago).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_specialization.html b/doc/html/math_toolkit/oct_specialization.html index caedb45d16..b3e5e42561 100644 --- a/doc/html/math_toolkit/oct_specialization.html +++ b/doc/html/math_toolkit/oct_specialization.html @@ -4,10 +4,11 @@ Octonion Specializations - + + @@ -223,9 +224,7 @@ }}// namespaces -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_synopsis.html b/doc/html/math_toolkit/oct_synopsis.html index d3bdc3ae6b..a2d51a9b24 100644 --- a/doc/html/math_toolkit/oct_synopsis.html +++ b/doc/html/math_toolkit/oct_synopsis.html @@ -4,10 +4,11 @@ Synopsis - + + @@ -122,9 +123,7 @@ }}// namespaces -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_tests.html b/doc/html/math_toolkit/oct_tests.html index 86b2d67e3a..df3b07f34c 100644 --- a/doc/html/math_toolkit/oct_tests.html +++ b/doc/html/math_toolkit/oct_tests.html @@ -4,10 +4,11 @@ Test Program - + + @@ -41,9 +42,7 @@ standard input (instead of hard-coding it in the test).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_todo.html b/doc/html/math_toolkit/oct_todo.html index f78835fcc5..eeec84a3b0 100644 --- a/doc/html/math_toolkit/oct_todo.html +++ b/doc/html/math_toolkit/oct_todo.html @@ -4,10 +4,11 @@ To Do - + + @@ -38,9 +39,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_trans.html b/doc/html/math_toolkit/oct_trans.html index df543a689f..859d0ba71e 100644 --- a/doc/html/math_toolkit/oct_trans.html +++ b/doc/html/math_toolkit/oct_trans.html @@ -4,10 +4,11 @@ Octonions Transcendentals - + + @@ -129,9 +130,7 @@
    Computes the n-th power of the octonion q.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_typedefs.html b/doc/html/math_toolkit/oct_typedefs.html index 79953ca994..7c59f5eb94 100644 --- a/doc/html/math_toolkit/oct_typedefs.html +++ b/doc/html/math_toolkit/oct_typedefs.html @@ -4,10 +4,11 @@ Octonion Member Typedefs - + + @@ -53,9 +54,7 @@ These provide easy access to the type the template is built upon.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_value_ops.html b/doc/html/math_toolkit/oct_value_ops.html index fbbc70268c..b3892eb43b 100644 --- a/doc/html/math_toolkit/oct_value_ops.html +++ b/doc/html/math_toolkit/oct_value_ops.html @@ -4,10 +4,11 @@ Octonion Value Operations - + + @@ -89,9 +90,7 @@
    norm.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/octonion.html b/doc/html/math_toolkit/octonion.html index 97b2098867..69d64e26c7 100644 --- a/doc/html/math_toolkit/octonion.html +++ b/doc/html/math_toolkit/octonion.html @@ -4,10 +4,11 @@ Template Class octonion - + + @@ -95,9 +96,7 @@ }}// namespaces -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/overview_tr1.html b/doc/html/math_toolkit/overview_tr1.html index 08d0076b7e..9fa7548f7a 100644 --- a/doc/html/math_toolkit/overview_tr1.html +++ b/doc/html/math_toolkit/overview_tr1.html @@ -4,10 +4,11 @@ C99 and C++ TR1 C-style Functions - + + @@ -598,9 +599,7 @@
    long double x); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/owens_t.html b/doc/html/math_toolkit/owens_t.html index 2ea13feaf0..82fa969af4 100644 --- a/doc/html/math_toolkit/owens_t.html +++ b/doc/html/math_toolkit/owens_t.html @@ -4,10 +4,11 @@ Owen's T function - + + @@ -304,9 +305,7 @@
    is close to 1, and greater than 95 decimal places elsewhere.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pchip.html b/doc/html/math_toolkit/pchip.html index d430591ff4..95031b7068 100644 --- a/doc/html/math_toolkit/pchip.html +++ b/doc/html/math_toolkit/pchip.html @@ -4,10 +4,11 @@ PCHIP interpolation - + + @@ -119,9 +120,7 @@

    interpolator, so the performance is stated in the documentation for cubic_hermite.hpp.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/perf_over1.html b/doc/html/math_toolkit/perf_over1.html index 115daa7755..ee179e0503 100644 --- a/doc/html/math_toolkit/perf_over1.html +++ b/doc/html/math_toolkit/perf_over1.html @@ -4,10 +4,11 @@ Performance - + + @@ -69,9 +70,7 @@ this library compares to some other open source alternatives.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/perf_over2.html b/doc/html/math_toolkit/perf_over2.html index 91b4b5d77e..7dd368ddbf 100644 --- a/doc/html/math_toolkit/perf_over2.html +++ b/doc/html/math_toolkit/perf_over2.html @@ -4,10 +4,11 @@ Performance Overview - + + @@ -69,9 +70,7 @@ this library compares to some other open source alternatives.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/perf_test_app.html b/doc/html/math_toolkit/perf_test_app.html index 612edcc08b..d76bd1f94e 100644 --- a/doc/html/math_toolkit/perf_test_app.html +++ b/doc/html/math_toolkit/perf_test_app.html @@ -4,10 +4,11 @@ The Performance Test Applications - + + @@ -99,9 +100,7 @@ the compiler.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_overview.html b/doc/html/math_toolkit/pol_overview.html index 910e229f5d..3854748b8d 100644 --- a/doc/html/math_toolkit/pol_overview.html +++ b/doc/html/math_toolkit/pol_overview.html @@ -4,10 +4,11 @@ Policy Overview - + + @@ -99,9 +100,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref.html b/doc/html/math_toolkit/pol_ref.html index d7ec9d1a57..22f32ccd2f 100644 --- a/doc/html/math_toolkit/pol_ref.html +++ b/doc/html/math_toolkit/pol_ref.html @@ -4,10 +4,11 @@ Policy Reference - + + @@ -45,9 +46,7 @@
    Policy Class Reference
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/assert_undefined.html b/doc/html/math_toolkit/pol_ref/assert_undefined.html index 38965e75e0..4bb5ec1715 100644 --- a/doc/html/math_toolkit/pol_ref/assert_undefined.html +++ b/doc/html/math_toolkit/pol_ref/assert_undefined.html @@ -4,10 +4,11 @@ Mathematically Undefined Function Policies - + + @@ -83,9 +84,7 @@ Macros to Change the Policy Defaults.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html index 14663c0019..1b187cc223 100644 --- a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html +++ b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html @@ -4,10 +4,11 @@ Discrete Quantile Policies - + + @@ -233,9 +234,7 @@
    (rounded from 68.1584).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/error_handling_policies.html b/doc/html/math_toolkit/pol_ref/error_handling_policies.html index 61acead8d7..c175fd00fd 100644 --- a/doc/html/math_toolkit/pol_ref/error_handling_policies.html +++ b/doc/html/math_toolkit/pol_ref/error_handling_policies.html @@ -4,10 +4,11 @@ Error Handling Policies - + + @@ -754,9 +755,7 @@
    double q = quantile(my_norm(), 0.05); // = -1.64485 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/internal_promotion.html b/doc/html/math_toolkit/pol_ref/internal_promotion.html index d5fc111353..5db79d6771 100644 --- a/doc/html/math_toolkit/pol_ref/internal_promotion.html +++ b/doc/html/math_toolkit/pol_ref/internal_promotion.html @@ -4,10 +4,11 @@ Internal Floating-point Promotion Policies - + + @@ -131,9 +132,7 @@
    float q = quantile(my_norm(), 0.05f); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/iteration_pol.html b/doc/html/math_toolkit/pol_ref/iteration_pol.html index d861c9bce6..ea0bd5f7e8 100644 --- a/doc/html/math_toolkit/pol_ref/iteration_pol.html +++ b/doc/html/math_toolkit/pol_ref/iteration_pol.html @@ -4,10 +4,11 @@ Iteration Limits Policies - + + @@ -48,9 +49,7 @@ before the special function gives up and returns the result of evaluation_error.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/namespace_pol.html b/doc/html/math_toolkit/pol_ref/namespace_pol.html index bb03649c66..ecb578fe31 100644 --- a/doc/html/math_toolkit/pol_ref/namespace_pol.html +++ b/doc/html/math_toolkit/pol_ref/namespace_pol.html @@ -4,10 +4,11 @@ Setting Polices at Namespace Scope - + + @@ -139,9 +140,7 @@ with the "_distribution" suffix removed.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html index 1db3e8e84f..c38c641cca 100644 --- a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html +++ b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html @@ -4,10 +4,11 @@ Policy Class Reference - + + @@ -242,9 +243,7 @@ only on the policy types that they actually use.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/policy_defaults.html b/doc/html/math_toolkit/pol_ref/policy_defaults.html index f483931a4b..73ee7e0043 100644 --- a/doc/html/math_toolkit/pol_ref/policy_defaults.html +++ b/doc/html/math_toolkit/pol_ref/policy_defaults.html @@ -4,10 +4,11 @@ Using Macros to Change the Policy Defaults - + + @@ -239,9 +240,7 @@
    in a source .cpp file.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/precision_pol.html b/doc/html/math_toolkit/pol_ref/precision_pol.html index a89560f2cc..705295fc8b 100644 --- a/doc/html/math_toolkit/pol_ref/precision_pol.html +++ b/doc/html/math_toolkit/pol_ref/precision_pol.html @@ -4,10 +4,11 @@ Precision Policies - + + @@ -91,9 +92,7 @@ 0.05);// 5% quantile. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial.html b/doc/html/math_toolkit/pol_tutorial.html index d8a16b8213..4a95b37954 100644 --- a/doc/html/math_toolkit/pol_tutorial.html +++ b/doc/html/math_toolkit/pol_tutorial.html @@ -4,10 +4,11 @@ Policy Tutorial - + + @@ -47,9 +48,7 @@ Quantiles of Discrete Distributions -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html index b884c06ce1..1c6c45d575 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html @@ -4,10 +4,11 @@ Setting Policies for Distributions on an Ad Hoc Basis - + + @@ -86,9 +87,7 @@

    quantile is: 40
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html index 20856ed96e..59919961cc 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html @@ -4,10 +4,11 @@ Changing the Policy on an Ad Hoc Basis for the Special Functions - + + @@ -155,9 +156,7 @@ } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html index 6a589ce926..7b9fa8fa0d 100644 --- a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html @@ -4,10 +4,11 @@ Changing the Policy Defaults - + + @@ -239,9 +240,7 @@ errno is set to: 33 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html index b2af59f47b..0be96325bd 100644 --- a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html @@ -4,10 +4,11 @@ Setting Policies at Namespace or Translation Unit Scope - + + @@ -347,9 +348,7 @@ } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html index 920998f4bb..cb920fd2d9 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html @@ -4,10 +4,11 @@ Policies Have Sensible Defaults - + + @@ -139,9 +140,7 @@ typedefnormalise<my_policy,digits2<9>>::typemy_policy_9;// errno on error, and limited precision. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/policy_usage.html b/doc/html/math_toolkit/pol_tutorial/policy_usage.html index 8bb0dd9161..ab16e0189d 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_usage.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_usage.html @@ -4,10 +4,11 @@ So How are Policies Used Anyway? - + + @@ -54,9 +55,7 @@ The following sections introduce these methods in more detail.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html index 4a299c32a8..3fd89e1e6a 100644 --- a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html +++ b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html @@ -4,10 +4,11 @@ Understanding Quantiles of Discrete Distributions - + + @@ -398,9 +399,7 @@
    real 18.701 30.299 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html index 2bc55d8d80..4de77094f7 100644 --- a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html +++ b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html @@ -4,10 +4,11 @@ Calling User Defined Error Handlers - + + @@ -435,9 +436,7 @@ then notices that it is dividing by infinity and so underflows.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html index 2af940ea34..5332a0439c 100644 --- a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html +++ b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html @@ -4,10 +4,11 @@ So Just What is a Policy Anyway? - + + @@ -82,9 +83,7 @@ >my_policy; -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/polynomials.html b/doc/html/math_toolkit/polynomials.html index bc0e52fd81..ff88e552af 100644 --- a/doc/html/math_toolkit/polynomials.html +++ b/doc/html/math_toolkit/polynomials.html @@ -4,10 +4,11 @@ Polynomials - + + @@ -317,9 +318,7 @@
    The source code is at polynomial_arithmetic.cpp

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers.html b/doc/html/math_toolkit/powers.html index 4942bad9f7..7d3baaf178 100644 --- a/doc/html/math_toolkit/powers.html +++ b/doc/html/math_toolkit/powers.html @@ -4,10 +4,11 @@ Basic Functions - + + @@ -41,9 +42,7 @@
    logaddexp and logsumexp
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/cbrt.html b/doc/html/math_toolkit/powers/cbrt.html index 186a9dc901..8dd57b0390 100644 --- a/doc/html/math_toolkit/powers/cbrt.html +++ b/doc/html/math_toolkit/powers/cbrt.html @@ -4,10 +4,11 @@ cbrt - + + @@ -146,9 +147,7 @@
    calculated using NTL::RR at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/cos_pi.html b/doc/html/math_toolkit/powers/cos_pi.html index c11c0bf596..3c3325952f 100644 --- a/doc/html/math_toolkit/powers/cos_pi.html +++ b/doc/html/math_toolkit/powers/cos_pi.html @@ -4,10 +4,11 @@ cos_pi - + + @@ -150,9 +151,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/ct_pow.html b/doc/html/math_toolkit/powers/ct_pow.html index aa4b96218f..0fbd674b89 100644 --- a/doc/html/math_toolkit/powers/ct_pow.html +++ b/doc/html/math_toolkit/powers/ct_pow.html @@ -4,10 +4,11 @@ Compile Time Power of a Runtime Base - + + @@ -255,9 +256,7 @@
    Algorithms, 2nd ed., Addison-Wesley, Reading, MA, 1981

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/expm1.html b/doc/html/math_toolkit/powers/expm1.html index 6907d193e0..be5faa03e0 100644 --- a/doc/html/math_toolkit/powers/expm1.html +++ b/doc/html/math_toolkit/powers/expm1.html @@ -4,10 +4,11 @@ expm1 - + + @@ -156,9 +157,7 @@
    calculated using NTL::RR at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/hypot.html b/doc/html/math_toolkit/powers/hypot.html index 1f23074c74..028f1dbdc7 100644 --- a/doc/html/math_toolkit/powers/hypot.html +++ b/doc/html/math_toolkit/powers/hypot.html @@ -4,10 +4,11 @@ hypot - + + @@ -84,9 +85,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/log1p.html b/doc/html/math_toolkit/powers/log1p.html index 655b3f71c5..d9db795364 100644 --- a/doc/html/math_toolkit/powers/log1p.html +++ b/doc/html/math_toolkit/powers/log1p.html @@ -4,10 +4,11 @@ log1p - + + @@ -171,9 +172,7 @@
    calculated using NTL::RR at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/logaddexp.html b/doc/html/math_toolkit/powers/logaddexp.html index 66fe9738cc..65569874be 100644 --- a/doc/html/math_toolkit/powers/logaddexp.html +++ b/doc/html/math_toolkit/powers/logaddexp.html @@ -4,10 +4,11 @@ logaddexp and logsumexp - + + @@ -146,9 +147,7 @@
    is the Log-Sum-Exp Function? -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/powm1.html b/doc/html/math_toolkit/powers/powm1.html index d13d0987be..179a25e5ed 100644 --- a/doc/html/math_toolkit/powers/powm1.html +++ b/doc/html/math_toolkit/powers/powm1.html @@ -4,10 +4,11 @@ powm1 - + + @@ -150,9 +151,7 @@
    at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/rsqrt.html b/doc/html/math_toolkit/powers/rsqrt.html index 411cd5d616..11b5d56a1d 100644 --- a/doc/html/math_toolkit/powers/rsqrt.html +++ b/doc/html/math_toolkit/powers/rsqrt.html @@ -4,10 +4,11 @@ Reciprocal square root - + + @@ -96,9 +97,7 @@
    Rsqrt<cpp_bin_float_100> 9393 ns 9393 ns 72967 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/sin_pi.html b/doc/html/math_toolkit/powers/sin_pi.html index 50b839712c..6122beefa9 100644 --- a/doc/html/math_toolkit/powers/sin_pi.html +++ b/doc/html/math_toolkit/powers/sin_pi.html @@ -4,10 +4,11 @@ sin_pi - + + @@ -150,9 +151,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/sqrt1pm1.html b/doc/html/math_toolkit/powers/sqrt1pm1.html index 9c6717de4f..8be59d586f 100644 --- a/doc/html/math_toolkit/powers/sqrt1pm1.html +++ b/doc/html/math_toolkit/powers/sqrt1pm1.html @@ -4,10 +4,11 @@ sqrt1pm1 - + + @@ -148,9 +149,7 @@
    at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quartic_roots.html b/doc/html/math_toolkit/quartic_roots.html index f03dd34e67..acebfb7979 100644 --- a/doc/html/math_toolkit/quartic_roots.html +++ b/doc/html/math_toolkit/quartic_roots.html @@ -4,10 +4,11 @@ Roots of Quartic Polynomials - + + @@ -68,9 +69,7 @@

    your system.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat.html b/doc/html/math_toolkit/quat.html index 0d51daf609..9534563cc2 100644 --- a/doc/html/math_toolkit/quat.html +++ b/doc/html/math_toolkit/quat.html @@ -4,10 +4,11 @@ Template Class quaternion - + + @@ -80,9 +81,7 @@ }// namespace boost -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_header.html b/doc/html/math_toolkit/quat_header.html index ac90fcf967..ed33dd0404 100644 --- a/doc/html/math_toolkit/quat_header.html +++ b/doc/html/math_toolkit/quat_header.html @@ -4,10 +4,11 @@ Header File - + + @@ -30,9 +31,7 @@ The interface and implementation are both supplied by the header file quaternion.hpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_history.html b/doc/html/math_toolkit/quat_history.html index c0bb97d44f..ce37895fb0 100644 --- a/doc/html/math_toolkit/quat_history.html +++ b/doc/html/math_toolkit/quat_history.html @@ -4,10 +4,11 @@ History - + + @@ -94,9 +95,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_mem_fun.html b/doc/html/math_toolkit/quat_mem_fun.html index 6a69c8f6ab..5a2ab3b7ec 100644 --- a/doc/html/math_toolkit/quat_mem_fun.html +++ b/doc/html/math_toolkit/quat_mem_fun.html @@ -4,10 +4,11 @@ Quaternion Member Functions - + + @@ -217,9 +218,7 @@
    unspecialized form, the base type's assignment operators must not throw.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_non_mem.html b/doc/html/math_toolkit/quat_non_mem.html index 6e1f2e85e8..844bbbf5ae 100644 --- a/doc/html/math_toolkit/quat_non_mem.html +++ b/doc/html/math_toolkit/quat_non_mem.html @@ -4,10 +4,11 @@ Quaternion Non-Member Operators - + + @@ -205,9 +206,7 @@
    } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_overview.html b/doc/html/math_toolkit/quat_overview.html index 036f35987c..d7dbd746f5 100644 --- a/doc/html/math_toolkit/quat_overview.html +++ b/doc/html/math_toolkit/quat_overview.html @@ -4,10 +4,11 @@ Overview - + + @@ -77,9 +78,7 @@ root, do not.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_synopsis.html b/doc/html/math_toolkit/quat_synopsis.html index d5c5de839e..11a71292f3 100644 --- a/doc/html/math_toolkit/quat_synopsis.html +++ b/doc/html/math_toolkit/quat_synopsis.html @@ -4,10 +4,11 @@ Synopsis - + + @@ -109,9 +110,7 @@ }// namespace boost -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_tests.html b/doc/html/math_toolkit/quat_tests.html index 5a4d0b54a3..2a311a00ee 100644 --- a/doc/html/math_toolkit/quat_tests.html +++ b/doc/html/math_toolkit/quat_tests.html @@ -4,10 +4,11 @@ Test Program - + + @@ -42,9 +43,7 @@ standard input (instead of hard-coding it in the test).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_todo.html b/doc/html/math_toolkit/quat_todo.html index 5bf303d087..91a8c2e1c8 100644 --- a/doc/html/math_toolkit/quat_todo.html +++ b/doc/html/math_toolkit/quat_todo.html @@ -4,10 +4,11 @@ To Do - + + @@ -42,9 +43,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quintic_hermite.html b/doc/html/math_toolkit/quintic_hermite.html index b28715839a..b2909a87ca 100644 --- a/doc/html/math_toolkit/quintic_hermite.html +++ b/doc/html/math_toolkit/quintic_hermite.html @@ -4,10 +4,11 @@ Quintic Hermite interpolation - + + @@ -222,9 +223,7 @@

    CardinalQuinticHermiteAOS<double>_BigO 5.64 (1) -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rational.html b/doc/html/math_toolkit/rational.html index d6ad6f9c31..52a7646790 100644 --- a/doc/html/math_toolkit/rational.html +++ b/doc/html/math_toolkit/rational.html @@ -4,10 +4,11 @@ Polynomial and Rational Function Evaluation - + + @@ -212,9 +213,7 @@
    changing the default settings.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rationale.html b/doc/html/math_toolkit/rationale.html index f896eed07f..c498c2499d 100644 --- a/doc/html/math_toolkit/rationale.html +++ b/doc/html/math_toolkit/rationale.html @@ -4,10 +4,11 @@ Rationale - + + @@ -136,9 +137,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/real_concepts.html b/doc/html/math_toolkit/real_concepts.html index 6e79184503..af2cf6e404 100644 --- a/doc/html/math_toolkit/real_concepts.html +++ b/doc/html/math_toolkit/real_concepts.html @@ -4,10 +4,11 @@ Conceptual Requirements for Real Number Types - + + @@ -1357,9 +1358,7 @@
    in any function that makes use of the gamma/beta/erf family of functions.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/refs.html b/doc/html/math_toolkit/refs.html index 4dd108f64f..36f0990264 100644 --- a/doc/html/math_toolkit/refs.html +++ b/doc/html/math_toolkit/refs.html @@ -4,10 +4,11 @@ References - + + @@ -78,10 +79,10 @@
    by N.A.J. Hastings, Brian Peacock, Merran Evans, ISBN: 0471371246, Wiley 2000.

    - Extreme Value - Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah, - ISBN 978-1-86094-224-2 & 1-86094-224-5 Oct 2000, Chapter 1.2 discusses - the various extreme value distributions. + Extreme + Value Distributions, Theory and Applications Samuel Kotz & Saralees + Nadarajah, ISBN 978-1-86094-224-2 & 1-86094-224-5 Oct 2000, Chapter 1.2 + discusses the various extreme value distributions.

    pugh.pdf @@ -196,9 +197,7 @@

    in finance.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/relative_error.html b/doc/html/math_toolkit/relative_error.html index 5aab6c6207..575ea9077a 100644 --- a/doc/html/math_toolkit/relative_error.html +++ b/doc/html/math_toolkit/relative_error.html @@ -4,10 +4,11 @@ Relative Error - + + @@ -106,9 +107,7 @@
    for more information.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/remez.html b/doc/html/math_toolkit/remez.html index 03a1ad2246..343bd3ab51 100644 --- a/doc/html/math_toolkit/remez.html +++ b/doc/html/math_toolkit/remez.html @@ -4,10 +4,11 @@ The Remez Method - + + @@ -536,9 +537,7 @@
    Physics, vol.1, No. 3, 1994.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/result_type.html b/doc/html/math_toolkit/result_type.html index d147b54fb7..ea53ca2191 100644 --- a/doc/html/math_toolkit/result_type.html +++ b/doc/html/math_toolkit/result_type.html @@ -4,10 +4,11 @@ Calculation of the Type of the Result - + + @@ -165,9 +166,7 @@ 5.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_comparison.html b/doc/html/math_toolkit/root_comparison.html index c886cc232d..c545227eba 100644 --- a/doc/html/math_toolkit/root_comparison.html +++ b/doc/html/math_toolkit/root_comparison.html @@ -4,10 +4,11 @@ Comparison of Root Finding Algorithms - + + @@ -36,9 +37,7 @@ of Elliptic Integral Root Finding Algorithms -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html index f8a544863e..a0158901ab 100644 --- a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html +++ b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html @@ -4,10 +4,11 @@ Comparison of Cube Root Finding Algorithms - + + @@ -1569,9 +1570,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html index 1373fb8be2..9cc8024f57 100644 --- a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html +++ b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html @@ -4,10 +4,11 @@ Comparison of Elliptic Integral Root Finding Algorithms - + + @@ -1850,9 +1851,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_comparison/root_n_comparison.html b/doc/html/math_toolkit/root_comparison/root_n_comparison.html index 51bf8503fe..67f92e92f7 100644 --- a/doc/html/math_toolkit/root_comparison/root_n_comparison.html +++ b/doc/html/math_toolkit/root_comparison/root_n_comparison.html @@ -4,10 +4,11 @@ Comparison of Nth-root Finding Algorithms - + + @@ -5267,9 +5268,7 @@

    And of course, compiler optimisation is crucial for speed.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples.html b/doc/html/math_toolkit/root_finding_examples.html index b76a0e12d3..4f279cd351 100644 --- a/doc/html/math_toolkit/root_finding_examples.html +++ b/doc/html/math_toolkit/root_finding_examples.html @@ -4,10 +4,11 @@ Examples of Root-Finding (with and without derivatives) - + + @@ -70,9 +71,7 @@ easily.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html index 447490f5a1..f67517a6a7 100644 --- a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html @@ -4,10 +4,11 @@ Computing the Fifth Root - + + @@ -147,9 +148,7 @@ and root_finding_n_example.cpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html index 520f8e8280..2bc257481b 100644 --- a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html @@ -4,10 +4,11 @@ Finding the Cubed Root With and Without Derivatives - + + @@ -465,9 +466,7 @@

    Full code of this example is at root_finding_example.cpp,

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html index 8382257dc3..32c1ce278b 100644 --- a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html @@ -4,10 +4,11 @@ A More complex example - Inverting the Elliptic Integrals - + + @@ -253,9 +254,7 @@ Full code of this example is at root_elliptic_finding.cpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/lambda.html b/doc/html/math_toolkit/root_finding_examples/lambda.html index 291d1923ff..598d98f590 100644 --- a/doc/html/math_toolkit/root_finding_examples/lambda.html +++ b/doc/html/math_toolkit/root_finding_examples/lambda.html @@ -4,10 +4,11 @@ Using C++11 Lambda's - + + @@ -59,9 +60,7 @@ Full code of this example is at root_finding_example.cpp,

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html index 71a55f3184..11ce9ccc4b 100644 --- a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html +++ b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html @@ -4,10 +4,11 @@ Root-finding using Boost.Multiprecision - + + @@ -271,9 +272,7 @@ Full code of this example is at root_finding_multiprecision_example.cpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/nth_root.html b/doc/html/math_toolkit/root_finding_examples/nth_root.html index 534d27ba2b..1e76bdd158 100644 --- a/doc/html/math_toolkit/root_finding_examples/nth_root.html +++ b/doc/html/math_toolkit/root_finding_examples/nth_root.html @@ -4,10 +4,11 @@ Generalizing to Compute the nth root - + + @@ -168,9 +169,7 @@ Full code of this example is at root_finding_n_example.cpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_deriv.html b/doc/html/math_toolkit/roots_deriv.html index 47737b68f4..7ace9a4368 100644 --- a/doc/html/math_toolkit/roots_deriv.html +++ b/doc/html/math_toolkit/roots_deriv.html @@ -4,10 +4,11 @@ Root Finding With Derivatives: Newton-Raphson, Halley & Schröder - + + @@ -359,9 +360,7 @@
    See root-finding examples.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv.html b/doc/html/math_toolkit/roots_noderiv.html index f1a80f892a..8073172f1e 100644 --- a/doc/html/math_toolkit/roots_noderiv.html +++ b/doc/html/math_toolkit/roots_noderiv.html @@ -4,10 +4,11 @@ Root Finding Without Derivatives - + + @@ -200,9 +201,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/TOMS748.html b/doc/html/math_toolkit/roots_noderiv/TOMS748.html index e9fd0a8e30..130d98223a 100644 --- a/doc/html/math_toolkit/roots_noderiv/TOMS748.html +++ b/doc/html/math_toolkit/roots_noderiv/TOMS748.html @@ -4,10 +4,11 @@ Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions - + + @@ -178,9 +179,7 @@ termination condition tol was satisfied.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/bisect.html b/doc/html/math_toolkit/roots_noderiv/bisect.html index 3373d3f885..6fa318bb50 100644 --- a/doc/html/math_toolkit/roots_noderiv/bisect.html +++ b/doc/html/math_toolkit/roots_noderiv/bisect.html @@ -4,10 +4,11 @@ Bisection - + + @@ -135,9 +136,7 @@ tol was satisfied.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html index 2801de0638..a386408ac7 100644 --- a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html +++ b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html @@ -4,10 +4,11 @@ Bracket and Solve Root - + + @@ -167,9 +168,7 @@ was satisfied.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/brent.html b/doc/html/math_toolkit/roots_noderiv/brent.html index e1f0e04d95..cae96c99ee 100644 --- a/doc/html/math_toolkit/roots_noderiv/brent.html +++ b/doc/html/math_toolkit/roots_noderiv/brent.html @@ -4,10 +4,11 @@ Brent-Decker Algorithm - + + @@ -34,9 +35,7 @@ and solve are superior and provide equivalent functionality.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/implementation.html b/doc/html/math_toolkit/roots_noderiv/implementation.html index 04a308642a..fc9b6ac03e 100644 --- a/doc/html/math_toolkit/roots_noderiv/implementation.html +++ b/doc/html/math_toolkit/roots_noderiv/implementation.html @@ -4,10 +4,11 @@ Implementation - + + @@ -44,9 +45,7 @@ The implementation here is a faithful translation of this paper into C++.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/root_termination.html b/doc/html/math_toolkit/roots_noderiv/root_termination.html index 65435c89ee..7aced32cbc 100644 --- a/doc/html/math_toolkit/roots_noderiv/root_termination.html +++ b/doc/html/math_toolkit/roots_noderiv/root_termination.html @@ -4,10 +4,11 @@ Termination Condition Functors - + + @@ -83,9 +84,7 @@ as soon as both ends of the interval round to the same nearest integer.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rounding.html b/doc/html/math_toolkit/rounding.html index 1f32944042..f9c1c4d6b1 100644 --- a/doc/html/math_toolkit/rounding.html +++ b/doc/html/math_toolkit/rounding.html @@ -4,10 +4,11 @@ Rounding Truncation and Integer Conversion - + + @@ -34,9 +35,7 @@ Splitting (modf) -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rounding/modf.html b/doc/html/math_toolkit/rounding/modf.html index 294c5a175a..005f52a25b 100644 --- a/doc/html/math_toolkit/rounding/modf.html +++ b/doc/html/math_toolkit/rounding/modf.html @@ -4,10 +4,11 @@ Integer and Fractional Part Splitting (modf) - + + @@ -64,9 +65,7 @@ by default this throws an instance of boost::math::rounding_error.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rounding/round.html b/doc/html/math_toolkit/rounding/round.html index 0bb17969c5..607dfaa9c0 100644 --- a/doc/html/math_toolkit/rounding/round.html +++ b/doc/html/math_toolkit/rounding/round.html @@ -4,10 +4,11 @@ Rounding Functions - + + @@ -64,9 +65,7 @@ by default this throws an instance of boost::math::rounding_error.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rounding/trunc.html b/doc/html/math_toolkit/rounding/trunc.html index 4287e8d475..ca124c9eb8 100644 --- a/doc/html/math_toolkit/rounding/trunc.html +++ b/doc/html/math_toolkit/rounding/trunc.html @@ -4,10 +4,11 @@ Truncation Functions - + + @@ -66,9 +67,7 @@ by default this throws an instance of boost::math::rounding_error.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/runs_test.html b/doc/html/math_toolkit/runs_test.html index 6c759cc02d..63c82ca118 100644 --- a/doc/html/math_toolkit/runs_test.html +++ b/doc/html/math_toolkit/runs_test.html @@ -4,10 +4,11 @@ Runs tests - + + @@ -212,9 +213,7 @@

    BMRunsAboveAndBelowThreshold<double>_BigO 5.59 N 5.59 N -

    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta.html b/doc/html/math_toolkit/sf_beta.html index f43596808a..25d9d56c6a 100644 --- a/doc/html/math_toolkit/sf_beta.html +++ b/doc/html/math_toolkit/sf_beta.html @@ -4,10 +4,11 @@ Beta Functions - + + @@ -36,9 +37,7 @@ Incomplete Beta Function -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta/beta_derivative.html b/doc/html/math_toolkit/sf_beta/beta_derivative.html index 5ffe5563fa..ebde100610 100644 --- a/doc/html/math_toolkit/sf_beta/beta_derivative.html +++ b/doc/html/math_toolkit/sf_beta/beta_derivative.html @@ -4,10 +4,11 @@ Derivative of the Incomplete Beta Function - + + @@ -84,9 +85,7 @@
    the documentation for that function for more information.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta/beta_function.html b/doc/html/math_toolkit/sf_beta/beta_function.html index 14e9e92453..2795fbd415 100644 --- a/doc/html/math_toolkit/sf_beta/beta_function.html +++ b/doc/html/math_toolkit/sf_beta/beta_function.html @@ -4,10 +4,11 @@ Beta - + + @@ -286,9 +287,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta/ibeta_function.html b/doc/html/math_toolkit/sf_beta/ibeta_function.html index 2ff888003c..9605cf3cd1 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_function.html @@ -4,10 +4,11 @@ Incomplete Beta Functions - + + @@ -882,9 +883,7 @@
    and Morris TOMS 708 paper.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html index a506ec68ea..61648a5634 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html @@ -4,10 +4,11 @@ The Incomplete Beta Function Inverses - + + @@ -904,9 +905,7 @@
    are required to find the root.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_erf.html b/doc/html/math_toolkit/sf_erf.html index e3daeff4af..06ffa7d065 100644 --- a/doc/html/math_toolkit/sf_erf.html +++ b/doc/html/math_toolkit/sf_erf.html @@ -4,10 +4,11 @@ Error Functions - + + @@ -32,9 +33,7 @@
    Error Function Inverses
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_erf/error_function.html b/doc/html/math_toolkit/sf_erf/error_function.html index 1a743cdc63..90d310bfc5 100644 --- a/doc/html/math_toolkit/sf_erf/error_function.html +++ b/doc/html/math_toolkit/sf_erf/error_function.html @@ -4,10 +4,11 @@ Error Function erf and complement erfc - + + @@ -523,9 +524,7 @@
    z)) / z;

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_erf/error_inv.html b/doc/html/math_toolkit/sf_erf/error_inv.html index 5418bfddd0..5847f551de 100644 --- a/doc/html/math_toolkit/sf_erf/error_inv.html +++ b/doc/html/math_toolkit/sf_erf/error_inv.html @@ -4,10 +4,11 @@ Error Function Inverses - + + @@ -358,9 +359,7 @@
    that the tail goes on for a very long way indeed).

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma.html b/doc/html/math_toolkit/sf_gamma.html index c637e057d5..72a67095d0 100644 --- a/doc/html/math_toolkit/sf_gamma.html +++ b/doc/html/math_toolkit/sf_gamma.html @@ -4,10 +4,11 @@ Gamma Functions - + + @@ -40,9 +41,7 @@ the Incomplete Gamma Function -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/digamma.html b/doc/html/math_toolkit/sf_gamma/digamma.html index 7cdbdd62de..33b09393ce 100644 --- a/doc/html/math_toolkit/sf_gamma/digamma.html +++ b/doc/html/math_toolkit/sf_gamma/digamma.html @@ -4,10 +4,11 @@ Digamma - + + @@ -465,9 +466,7 @@
    will not be zero.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html index 0ba6ace86c..d4d84aaf7f 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html @@ -4,10 +4,11 @@ Derivative of the Incomplete Gamma Function - + + @@ -89,9 +90,7 @@
    documentation for that function for more information.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html index e981c9157f..5dd4ff67c8 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html @@ -4,10 +4,11 @@ Ratios of Gamma Functions - + + @@ -402,9 +403,7 @@
    which case table lookup of factorials can be used to calculate the ratio.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/igamma.html b/doc/html/math_toolkit/sf_gamma/igamma.html index 86ab20d95c..9ab91403ed 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma.html +++ b/doc/html/math_toolkit/sf_gamma/igamma.html @@ -4,10 +4,11 @@ Incomplete Gamma Functions - + + @@ -997,9 +998,7 @@
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/igamma_inv.html b/doc/html/math_toolkit/sf_gamma/igamma_inv.html index 98b281a94f..b438558e9a 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma_inv.html +++ b/doc/html/math_toolkit/sf_gamma/igamma_inv.html @@ -4,10 +4,11 @@ Incomplete Gamma Function Inverses - + + @@ -607,9 +608,7 @@
    so, the root is usually found in fewer than 10 iterations.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/lgamma.html b/doc/html/math_toolkit/sf_gamma/lgamma.html index 1e2f2977f3..dad6cac67a 100644 --- a/doc/html/math_toolkit/sf_gamma/lgamma.html +++ b/doc/html/math_toolkit/sf_gamma/lgamma.html @@ -4,10 +4,11 @@ Log Gamma - + + @@ -476,9 +477,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/polygamma.html b/doc/html/math_toolkit/sf_gamma/polygamma.html index f9ef2e7538..6c43abb36b 100644 --- a/doc/html/math_toolkit/sf_gamma/polygamma.html +++ b/doc/html/math_toolkit/sf_gamma/polygamma.html @@ -4,10 +4,11 @@ Polygamma - + + @@ -401,9 +402,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/tgamma.html b/doc/html/math_toolkit/sf_gamma/tgamma.html index cff1526f04..32a381573f 100644 --- a/doc/html/math_toolkit/sf_gamma/tgamma.html +++ b/doc/html/math_toolkit/sf_gamma/tgamma.html @@ -4,10 +4,11 @@ Gamma - + + @@ -518,9 +519,7 @@
    can be used directly.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/trigamma.html b/doc/html/math_toolkit/sf_gamma/trigamma.html index 0f97aaa978..ec708a0421 100644 --- a/doc/html/math_toolkit/sf_gamma/trigamma.html +++ b/doc/html/math_toolkit/sf_gamma/trigamma.html @@ -4,10 +4,11 @@ Trigamma - + + @@ -210,9 +211,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_implementation.html b/doc/html/math_toolkit/sf_implementation.html index 6d5b9d5787..f73be55a4a 100644 --- a/doc/html/math_toolkit/sf_implementation.html +++ b/doc/html/math_toolkit/sf_implementation.html @@ -4,10 +4,11 @@ Additional Implementation Notes - + + @@ -843,9 +844,7 @@
    enhanced and now reasonably mature and usable, by Paul A. Bristow, is at .\boost-sandbox\SOC\2007\visualization).

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly.html b/doc/html/math_toolkit/sf_poly.html index 6cd11175b3..09e69033a4 100644 --- a/doc/html/math_toolkit/sf_poly.html +++ b/doc/html/math_toolkit/sf_poly.html @@ -4,10 +4,11 @@ Polynomials - + + @@ -41,9 +42,7 @@
    Jacobi Polynomials
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html index 06124f7ee5..a052b63979 100644 --- a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html +++ b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html @@ -4,10 +4,11 @@ Cardinal B-splines - + + @@ -205,9 +206,7 @@

    -

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/chebyshev.html b/doc/html/math_toolkit/sf_poly/chebyshev.html index 089a304cfa..bfeb0ceff5 100644 --- a/doc/html/math_toolkit/sf_poly/chebyshev.html +++ b/doc/html/math_toolkit/sf_poly/chebyshev.html @@ -4,10 +4,11 @@ Chebyshev Polynomials - + + @@ -243,9 +244,7 @@
    in the constructor.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/gegenbauer.html b/doc/html/math_toolkit/sf_poly/gegenbauer.html index 0375bd042c..4833c89128 100644 --- a/doc/html/math_toolkit/sf_poly/gegenbauer.html +++ b/doc/html/math_toolkit/sf_poly/gegenbauer.html @@ -4,10 +4,11 @@ Gegenbauer Polynomials - + + @@ -149,9 +150,7 @@

    In this case, only the zeroth Gegenbauer polynomial is nonzero.

    -

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/hermite.html b/doc/html/math_toolkit/sf_poly/hermite.html index 932ebe83b1..fcc095a1a4 100644 --- a/doc/html/math_toolkit/sf_poly/hermite.html +++ b/doc/html/math_toolkit/sf_poly/hermite.html @@ -4,10 +4,11 @@ Hermite Polynomials - + + @@ -227,9 +228,7 @@
    error near one of the roots of the polynomials.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/jacobi.html b/doc/html/math_toolkit/sf_poly/jacobi.html index 5abeaccf35..bf83420bf1 100644 --- a/doc/html/math_toolkit/sf_poly/jacobi.html +++ b/doc/html/math_toolkit/sf_poly/jacobi.html @@ -4,10 +4,11 @@ Jacobi Polynomials - + + @@ -91,9 +92,7 @@

    rising.

    -

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/laguerre.html b/doc/html/math_toolkit/sf_poly/laguerre.html index 8297c80994..fc1b4f855f 100644 --- a/doc/html/math_toolkit/sf_poly/laguerre.html +++ b/doc/html/math_toolkit/sf_poly/laguerre.html @@ -4,10 +4,11 @@ Laguerre (and Associated) Polynomials - + + @@ -370,9 +371,7 @@
    error near one of the roots of the polynomials.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/legendre.html b/doc/html/math_toolkit/sf_poly/legendre.html index aeb73ceb8e..c1a3ed639f 100644 --- a/doc/html/math_toolkit/sf_poly/legendre.html +++ b/doc/html/math_toolkit/sf_poly/legendre.html @@ -4,10 +4,11 @@ Legendre (and Associated) Polynomials - + + @@ -637,9 +638,7 @@
    error near one of the roots of the polynomials.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html index fbe5f02e60..fc96a1e7c8 100644 --- a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html +++ b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html @@ -4,10 +4,11 @@ Legendre-Stieltjes Polynomials - + + @@ -124,9 +125,7 @@
    double norm = std::sqrt(E.norm_sq()); -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/sph_harm.html b/doc/html/math_toolkit/sf_poly/sph_harm.html index 5621e622e5..f859df9721 100644 --- a/doc/html/math_toolkit/sf_poly/sph_harm.html +++ b/doc/html/math_toolkit/sf_poly/sph_harm.html @@ -4,10 +4,11 @@ Spherical Harmonics - + + @@ -318,9 +319,7 @@
    calculate values near the roots of the associated Legendre functions.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sign_functions.html b/doc/html/math_toolkit/sign_functions.html index 178c7130c6..75aea53071 100644 --- a/doc/html/math_toolkit/sign_functions.html +++ b/doc/html/math_toolkit/sign_functions.html @@ -4,10 +4,11 @@ Sign Manipulation Functions - + + @@ -232,9 +233,7 @@
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/signal_statistics.html b/doc/html/math_toolkit/signal_statistics.html index 5a2a56f930..f598764af1 100644 --- a/doc/html/math_toolkit/signal_statistics.html +++ b/doc/html/math_toolkit/signal_statistics.html @@ -4,10 +4,11 @@ Signal Statistics - + + @@ -316,9 +317,7 @@

    -

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sinc.html b/doc/html/math_toolkit/sinc.html index c442a3b370..73313eb81a 100644 --- a/doc/html/math_toolkit/sinc.html +++ b/doc/html/math_toolkit/sinc.html @@ -4,10 +4,11 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions - + + @@ -34,9 +35,7 @@
    sinhc_pi
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sinc/sinc_overview.html b/doc/html/math_toolkit/sinc/sinc_overview.html index 56953b2aab..54054a77bf 100644 --- a/doc/html/math_toolkit/sinc/sinc_overview.html +++ b/doc/html/math_toolkit/sinc/sinc_overview.html @@ -4,10 +4,11 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview - + + @@ -66,9 +67,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sinc/sinc_pi.html b/doc/html/math_toolkit/sinc/sinc_pi.html index a2c082f21e..1d00a12206 100644 --- a/doc/html/math_toolkit/sinc/sinc_pi.html +++ b/doc/html/math_toolkit/sinc/sinc_pi.html @@ -4,10 +4,11 @@ sinc_pi - + + @@ -62,9 +63,7 @@ documentation for more details.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sinc/sinhc_pi.html b/doc/html/math_toolkit/sinc/sinhc_pi.html index 774c157869..5aa54574ee 100644 --- a/doc/html/math_toolkit/sinc/sinhc_pi.html +++ b/doc/html/math_toolkit/sinc/sinhc_pi.html @@ -4,10 +4,11 @@ sinhc_pi - + + @@ -67,9 +68,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/spec.html b/doc/html/math_toolkit/spec.html index 7543862c01..9fd7b1b0d5 100644 --- a/doc/html/math_toolkit/spec.html +++ b/doc/html/math_toolkit/spec.html @@ -4,10 +4,11 @@ Quaternion Specializations - + + @@ -173,9 +174,7 @@ }// namespace boost -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/special_tut.html b/doc/html/math_toolkit/special_tut.html index 36ca6fee27..732220d713 100644 --- a/doc/html/math_toolkit/special_tut.html +++ b/doc/html/math_toolkit/special_tut.html @@ -4,10 +4,11 @@ Tutorial: How to Write a New Special Function - + + @@ -32,9 +33,7 @@
    Testing
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/special_tut/special_tut_impl.html b/doc/html/math_toolkit/special_tut/special_tut_impl.html index c85aa5a77e..9abe4d116a 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_impl.html +++ b/doc/html/math_toolkit/special_tut/special_tut_impl.html @@ -4,10 +4,11 @@ Implementation - + + @@ -371,9 +372,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/special_tut/special_tut_test.html b/doc/html/math_toolkit/special_tut/special_tut_test.html index 06bbed71e3..22f8c4de99 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_test.html +++ b/doc/html/math_toolkit/special_tut/special_tut_test.html @@ -4,10 +4,11 @@ Testing - + + @@ -506,9 +507,7 @@
    and follow their examples.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/specified_typedefs.html b/doc/html/math_toolkit/specified_typedefs.html index f71cab8f0a..18f6e0fdda 100644 --- a/doc/html/math_toolkit/specified_typedefs.html +++ b/doc/html/math_toolkit/specified_typedefs.html @@ -4,10 +4,11 @@ Overview - + + @@ -89,9 +90,7 @@ distribution as an example of a statistical distribution from Boost.Math.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/standalone.html b/doc/html/math_toolkit/standalone.html index 92689749f4..fbe0b47332 100644 --- a/doc/html/math_toolkit/standalone.html +++ b/doc/html/math_toolkit/standalone.html @@ -4,10 +4,11 @@ Standalone Usage - + + @@ -67,9 +68,7 @@ bleeding edge code (develop branch).

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut.html b/doc/html/math_toolkit/stat_tut.html index 5727011c1d..e35cfb5ce9 100644 --- a/doc/html/math_toolkit/stat_tut.html +++ b/doc/html/math_toolkit/stat_tut.html @@ -4,10 +4,11 @@ Statistical Distributions Tutorial - + + @@ -137,9 +138,7 @@ few worked examples of applying the library to statistical tests.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/dist_params.html b/doc/html/math_toolkit/stat_tut/dist_params.html index 378c2c0e1f..16eb43bc9e 100644 --- a/doc/html/math_toolkit/stat_tut/dist_params.html +++ b/doc/html/math_toolkit/stat_tut/dist_params.html @@ -4,10 +4,11 @@ Discrete Probability Distributions - + + @@ -81,9 +82,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview.html b/doc/html/math_toolkit/stat_tut/overview.html index 958650e21d..afc8c2a66c 100644 --- a/doc/html/math_toolkit/stat_tut/overview.html +++ b/doc/html/math_toolkit/stat_tut/overview.html @@ -4,10 +4,11 @@ Overview of Statistical Distributions - + + @@ -41,9 +42,7 @@
    Summary
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/complements.html b/doc/html/math_toolkit/stat_tut/overview/complements.html index 698fef80cd..f4bb058c79 100644 --- a/doc/html/math_toolkit/stat_tut/overview/complements.html +++ b/doc/html/math_toolkit/stat_tut/overview/complements.html @@ -4,10 +4,11 @@ Complements are supported too - and when to use them - + + @@ -181,9 +182,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/generic.html b/doc/html/math_toolkit/stat_tut/overview/generic.html index e3f040c678..0f84ebd4ec 100644 --- a/doc/html/math_toolkit/stat_tut/overview/generic.html +++ b/doc/html/math_toolkit/stat_tut/overview/generic.html @@ -4,10 +4,11 @@ Generic operations common to all distributions are non-member functions - + + @@ -238,9 +239,7 @@
    - - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/headers.html b/doc/html/math_toolkit/stat_tut/overview/headers.html index a1a78fa5db..28de31003e 100644 --- a/doc/html/math_toolkit/stat_tut/overview/headers.html +++ b/doc/html/math_toolkit/stat_tut/overview/headers.html @@ -4,10 +4,11 @@ Headers and Namespaces - + + @@ -60,9 +61,7 @@

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/objects.html b/doc/html/math_toolkit/stat_tut/overview/objects.html index 6df3984533..1d04da942a 100644 --- a/doc/html/math_toolkit/stat_tut/overview/objects.html +++ b/doc/html/math_toolkit/stat_tut/overview/objects.html @@ -4,10 +4,11 @@ Distributions are Objects - + + @@ -116,9 +117,7 @@ and quantiles etc for these distributions.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/parameters.html b/doc/html/math_toolkit/stat_tut/overview/parameters.html index 4f1280ee28..3c363c1a5f 100644 --- a/doc/html/math_toolkit/stat_tut/overview/parameters.html +++ b/doc/html/math_toolkit/stat_tut/overview/parameters.html @@ -4,10 +4,11 @@ Parameters can be calculated - + + @@ -54,9 +55,7 @@ sample size.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/summary.html b/doc/html/math_toolkit/stat_tut/overview/summary.html index 2771da5ab3..cd04f51e69 100644 --- a/doc/html/math_toolkit/stat_tut/overview/summary.html +++ b/doc/html/math_toolkit/stat_tut/overview/summary.html @@ -4,10 +4,11 @@ Summary - + + @@ -56,9 +57,7 @@ Now that you have the basics, the next section looks at some worked examples.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/variates.html b/doc/html/math_toolkit/stat_tut/variates.html index 851e1afcab..9f782b593b 100644 --- a/doc/html/math_toolkit/stat_tut/variates.html +++ b/doc/html/math_toolkit/stat_tut/variates.html @@ -4,10 +4,11 @@ Random Variates and Distribution Parameters - + + @@ -57,9 +58,7 @@
    pdf(binomial_distribution<RealType>(n, p), k);
     
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg.html b/doc/html/math_toolkit/stat_tut/weg.html index 404cd9be66..d73cbd2cf3 100644 --- a/doc/html/math_toolkit/stat_tut/weg.html +++ b/doc/html/math_toolkit/stat_tut/weg.html @@ -4,10 +4,11 @@ Worked Examples - + + @@ -110,9 +111,7 @@ from Within C# -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html index ff0fee7f83..4ce94ce3ba 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html @@ -4,10 +4,11 @@ Binomial Distribution Examples - + + @@ -42,9 +43,7 @@ Distribution.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html index 535ab436a1..64a8def685 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html @@ -4,10 +4,11 @@ Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution - + + @@ -222,9 +223,7 @@ small.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html index 07d7eda55a..fd49d7d12f 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html @@ -4,10 +4,11 @@ Estimating Sample Sizes for a Binomial Distribution. - + + @@ -141,9 +142,7 @@ chance of no failure).

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html index 6765aad9ad..5d3089be1b 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html @@ -4,10 +4,11 @@ Binomial Coin-Flipping Example - + + @@ -261,9 +262,7 @@ 10 1 or 1 in 1, or 100% -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html index a526b64fa9..ba0ddd8743 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html @@ -4,10 +4,11 @@ Binomial Quiz Example - + + @@ -439,9 +440,7 @@
    for full source code and output.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html index ac17f35f51..5254fa9385 100644 --- a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html +++ b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html @@ -4,10 +4,11 @@ Using the Distributions from Within C# - + + @@ -39,9 +40,7 @@ properties.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html index d4ca42e550..02fe704344 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html @@ -4,10 +4,11 @@ Chi Squared Distribution Examples - + + @@ -36,9 +37,7 @@ the Required Sample Sizes for a Chi-Square Test for the Standard Deviation -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html index f764ce6d50..29afb16509 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html @@ -4,10 +4,11 @@ Confidence Intervals on the Standard Deviation - + + @@ -231,9 +232,7 @@
    convincing + or -1% confidence.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html index fd09f65bef..2058f4332e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html @@ -4,10 +4,11 @@ Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation - + + @@ -163,9 +164,7 @@ that we would need a sample size of 51.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html index bd410f10e3..49879499b2 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html @@ -4,10 +4,11 @@ Chi-Square Test for the Standard Deviation - + + @@ -278,9 +279,7 @@ and so we reject the manufacturers claim.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html index 3755da6ed6..2e84f78511 100644 --- a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html @@ -4,10 +4,11 @@ Distribution Construction Examples - + + @@ -329,9 +330,7 @@
    for full source code.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/error_eg.html b/doc/html/math_toolkit/stat_tut/weg/error_eg.html index 7bb87bba7f..c66c630dab 100644 --- a/doc/html/math_toolkit/stat_tut/weg/error_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/error_eg.html @@ -4,10 +4,11 @@ Error Handling Example - + + @@ -187,9 +188,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/f_eg.html b/doc/html/math_toolkit/stat_tut/weg/f_eg.html index ba5b54baee..ed93aa1361 100644 --- a/doc/html/math_toolkit/stat_tut/weg/f_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/f_eg.html @@ -4,10 +4,11 @@ F Distribution Examples - + + @@ -310,9 +311,7 @@ conclude that there is a change for the better in our standard deviation.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg.html index 92a4691072..48f453a52d 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg.html @@ -4,10 +4,11 @@ Find Location and Scale Examples - + + @@ -36,9 +37,7 @@ mean and standard deviation example -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html index 76a23c672f..f1bc26bdc4 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html @@ -4,10 +4,11 @@ Find Location (Mean) Example - + + @@ -171,9 +172,7 @@
    Normal distribution with mean = 0.355146 has fraction > 2 = 0.05 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html index ec32943ca1..d359bc900e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html @@ -4,10 +4,11 @@ Find mean and standard deviation example - + + @@ -436,9 +437,7 @@
    for full source code & appended program output.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html index 4a60a24b43..d7d8768f7f 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html @@ -4,10 +4,11 @@ Find Scale (Standard Deviation) Example - + + @@ -190,9 +191,7 @@
    Normal distribution with mean = 0.946339 has fraction > -2 = 0.999 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html index dbbe89e65b..72d5ba46e0 100644 --- a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html @@ -4,10 +4,11 @@ Geometric Distribution Examples - + + @@ -403,9 +404,7 @@
    negative_binomial confidence interval example.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html index 1d651f7520..01a346f6ad 100644 --- a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html @@ -4,10 +4,11 @@ Inverse Chi-Squared Distribution Bayes Example - + + @@ -342,9 +343,7 @@
    See the full source C++ of this example at ../../example/inverse_chi_squared_bayes_eg.cpp

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/nag_library.html b/doc/html/math_toolkit/stat_tut/weg/nag_library.html index d98301e8da..f07286527c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nag_library.html +++ b/doc/html/math_toolkit/stat_tut/weg/nag_library.html @@ -4,10 +4,11 @@ Comparison with C, R, FORTRAN-style Free Functions - + + @@ -97,9 +98,7 @@ for details.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html index 668f53b4ab..0da80791a7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html @@ -4,10 +4,11 @@ Non Central Chi Squared Example - + + @@ -34,9 +35,7 @@ Chi Squared Distribution.)

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html index c5c20d8b4e..c89bfd89ff 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html @@ -4,10 +4,11 @@ Tables of the power function of the chi2 test. - + + @@ -1268,9 +1269,7 @@ for the full C++ source code.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html index f663fd70c3..c02fe49027 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html @@ -4,10 +4,11 @@ Negative Binomial Distribution Examples - + + @@ -43,9 +44,7 @@ Binomial Distribution.)

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html index b8799de463..ee043e0303 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html @@ -4,10 +4,11 @@ Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution - + + @@ -202,9 +203,7 @@ value of 0.1.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html index 6bf357dc4d..5833bcb19a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html @@ -4,10 +4,11 @@ Estimating Sample Sizes for the Negative Binomial. - + + @@ -188,9 +189,7 @@ certainty.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html index 4792c2c0aa..5e84a99817 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html @@ -4,10 +4,11 @@ Negative Binomial Sales Quota Example. - + + @@ -476,9 +477,7 @@ Number of failures argument is -1, but must be >= 0 ! -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html index eef70c6723..47a93aa3d0 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html @@ -4,10 +4,11 @@ Negative Binomial Table Printing Example. - + + @@ -117,9 +118,7 @@ 63,0.000246103187649585660.99882473495070978 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example.html b/doc/html/math_toolkit/stat_tut/weg/normal_example.html index 22f05bab2b..e5ef09bca0 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example.html @@ -4,10 +4,11 @@ Normal Distribution Examples - + + @@ -34,9 +35,7 @@ Distribution.)

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html index 018b093c51..a67cb48947 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html @@ -4,10 +4,11 @@ Some Miscellaneous Examples of the Normal (Gaussian) Distribution - + + @@ -499,9 +500,7 @@
    cout << "95% of bolts are shorter than " << quantile(bolts, 0.95) << endl; -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg.html b/doc/html/math_toolkit/stat_tut/weg/st_eg.html index a20ce7313e..453a6e0905 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg.html @@ -4,10 +4,11 @@ Student's t Distribution Examples - + + @@ -41,9 +42,7 @@ two paired samples with the Student's t distribution -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html index 32d902243a..4a84eb3773 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html @@ -4,10 +4,11 @@ Comparing two paired samples with the Student's t distribution - + + @@ -62,9 +63,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html index e992c0276c..30456616a1 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html @@ -4,10 +4,11 @@ Calculating confidence intervals on the mean with the Students-t distribution - + + @@ -249,9 +250,7 @@ confident in the location of the mean.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html index 5ad2834d0c..9b15a9f9e5 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html @@ -4,10 +4,11 @@ Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test - + + @@ -160,9 +161,7 @@ example at the 95% level, 14 measurements in total for a two-sided test.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html index 59e12d32c5..dea5a807e7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html @@ -4,10 +4,11 @@ Testing a sample mean for difference from a "true" mean - + + @@ -315,9 +316,7 @@ more accurate data), is needed for a more convincing conclusion.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html index 1dc8c61660..fee1de4b2c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html @@ -4,10 +4,11 @@ Comparing the means of two samples with the Students-t test - + + @@ -343,9 +344,7 @@ than Japanese models.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/t_test.html b/doc/html/math_toolkit/t_test.html index 5cef11e3e3..47d5e49d20 100644 --- a/doc/html/math_toolkit/t_test.html +++ b/doc/html/math_toolkit/t_test.html @@ -4,10 +4,11 @@ t-tests - + + @@ -254,9 +255,7 @@

    OneSampleTTestKnownMeanAndVariance<double> 207 ns -

    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/threads.html b/doc/html/math_toolkit/threads.html index 38e4a88ce3..76ae2574cd 100644 --- a/doc/html/math_toolkit/threads.html +++ b/doc/html/math_toolkit/threads.html @@ -4,10 +4,11 @@ Thread Safety - + + @@ -33,9 +34,7 @@ removed.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tr1_ref.html b/doc/html/math_toolkit/tr1_ref.html index af9772bac2..4253638b20 100644 --- a/doc/html/math_toolkit/tr1_ref.html +++ b/doc/html/math_toolkit/tr1_ref.html @@ -4,10 +4,11 @@ TR1 C Functions Quick Reference - + + @@ -540,9 +541,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tradoffs.html b/doc/html/math_toolkit/tradoffs.html index dd301a9f8b..f5608e2350 100644 --- a/doc/html/math_toolkit/tradoffs.html +++ b/doc/html/math_toolkit/tradoffs.html @@ -4,10 +4,11 @@ Trading Accuracy for Performance - + + @@ -2549,9 +2550,7 @@
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/trans.html b/doc/html/math_toolkit/trans.html index 8aa5404b19..6ada811a97 100644 --- a/doc/html/math_toolkit/trans.html +++ b/doc/html/math_toolkit/trans.html @@ -4,10 +4,11 @@ Quaternion Transcendentals - + + @@ -125,9 +126,7 @@
    Computes the n-th power of the quaternion q.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/trapezoidal.html b/doc/html/math_toolkit/trapezoidal.html index ea30cf4474..4659213fb9 100644 --- a/doc/html/math_toolkit/trapezoidal.html +++ b/doc/html/math_toolkit/trapezoidal.html @@ -4,10 +4,11 @@ Trapezoidal Quadrature - + + @@ -226,9 +227,7 @@

    (2003): 265-275.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tuning.html b/doc/html/math_toolkit/tuning.html index 2698db5c57..e37daaa188 100644 --- a/doc/html/math_toolkit/tuning.html +++ b/doc/html/math_toolkit/tuning.html @@ -4,10 +4,11 @@ Performance Tuning Macros - + + @@ -7909,9 +7910,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tutorial.html b/doc/html/math_toolkit/tutorial.html index 9f9d224d98..9ef4441291 100644 --- a/doc/html/math_toolkit/tutorial.html +++ b/doc/html/math_toolkit/tutorial.html @@ -4,10 +4,11 @@ Tutorial - + + @@ -34,9 +35,7 @@ Types -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tutorial/non_templ.html b/doc/html/math_toolkit/tutorial/non_templ.html index b4ffe3c884..6a798c93e7 100644 --- a/doc/html/math_toolkit/tutorial/non_templ.html +++ b/doc/html/math_toolkit/tutorial/non_templ.html @@ -4,10 +4,11 @@ Use in non-template code - + + @@ -67,9 +68,7 @@ Some examples of using constants are at constants_eg1.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tutorial/templ.html b/doc/html/math_toolkit/tutorial/templ.html index 77efab4359..5c3c37052d 100644 --- a/doc/html/math_toolkit/tutorial/templ.html +++ b/doc/html/math_toolkit/tutorial/templ.html @@ -4,10 +4,11 @@ Use in template code - + + @@ -138,9 +139,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tutorial/user_def.html b/doc/html/math_toolkit/tutorial/user_def.html index fb8e3facf9..ce6f9150a2 100644 --- a/doc/html/math_toolkit/tutorial/user_def.html +++ b/doc/html/math_toolkit/tutorial/user_def.html @@ -4,10 +4,11 @@ Use With User-Defined Types - + + @@ -317,9 +318,7 @@
    the constant will be constructed from a string on each call. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ulps_plots.html b/doc/html/math_toolkit/ulps_plots.html index 4b468d6dc2..b006e367b3 100644 --- a/doc/html/math_toolkit/ulps_plots.html +++ b/doc/html/math_toolkit/ulps_plots.html @@ -4,10 +4,11 @@ ULPs Plots - + + @@ -208,9 +209,7 @@

    https://blogs.mathworks.com/cleve/2017/01/23/ulps-plots-reveal-math-function-accurary/ -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/univariate_statistics.html b/doc/html/math_toolkit/univariate_statistics.html index 0ce43dadc1..04b92ecc48 100644 --- a/doc/html/math_toolkit/univariate_statistics.html +++ b/doc/html/math_toolkit/univariate_statistics.html @@ -4,10 +4,11 @@ Univariate Statistics - + + @@ -523,9 +524,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/value_op.html b/doc/html/math_toolkit/value_op.html index 8485c8e066..c5b7042d2e 100644 --- a/doc/html/math_toolkit/value_op.html +++ b/doc/html/math_toolkit/value_op.html @@ -4,10 +4,11 @@ Quaternion Value Operations - + + @@ -90,9 +91,7 @@
    root of the Cayley norm.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/vector_barycentric.html b/doc/html/math_toolkit/vector_barycentric.html index 21a157c33b..7c8241dfb4 100644 --- a/doc/html/math_toolkit/vector_barycentric.html +++ b/doc/html/math_toolkit/vector_barycentric.html @@ -4,10 +4,11 @@ Vector-valued Barycentric Rational Interpolation - + + @@ -109,9 +110,7 @@

    both values at once.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/wavelet_transforms.html b/doc/html/math_toolkit/wavelet_transforms.html index 64a5d58a92..3536353616 100644 --- a/doc/html/math_toolkit/wavelet_transforms.html +++ b/doc/html/math_toolkit/wavelet_transforms.html @@ -4,10 +4,11 @@ Wavelet Transforms - + + @@ -90,9 +91,7 @@

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/whittaker_shannon.html b/doc/html/math_toolkit/whittaker_shannon.html index ae4ab001ce..ffdea709f1 100644 --- a/doc/html/math_toolkit/whittaker_shannon.html +++ b/doc/html/math_toolkit/whittaker_shannon.html @@ -4,10 +4,11 @@ Whittaker-Shannon interpolation - + + @@ -99,9 +100,7 @@

    n is the number of points to interpolate.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/z_test.html b/doc/html/math_toolkit/z_test.html index 43adb19d10..139c76651e 100644 --- a/doc/html/math_toolkit/z_test.html +++ b/doc/html/math_toolkit/z_test.html @@ -4,10 +4,11 @@ z-tests - + + @@ -155,9 +156,7 @@

    not need to be equal.

    -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/zetas.html b/doc/html/math_toolkit/zetas.html index ccb10f0ed3..6985a23f75 100644 --- a/doc/html/math_toolkit/zetas.html +++ b/doc/html/math_toolkit/zetas.html @@ -4,10 +4,11 @@ Zeta Functions - + + @@ -28,9 +29,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/zetas/zeta.html b/doc/html/math_toolkit/zetas/zeta.html index 8c18c4a011..16e1b91b32 100644 --- a/doc/html/math_toolkit/zetas/zeta.html +++ b/doc/html/math_toolkit/zetas/zeta.html @@ -4,10 +4,11 @@ Riemann Zeta Function - + + @@ -387,9 +388,7 @@
    are of great benefit to some infinite series calculations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/octonions.html b/doc/html/octonions.html index 63b22d4403..e33d95f510 100644 --- a/doc/html/octonions.html +++ b/doc/html/octonions.html @@ -4,10 +4,11 @@ Chapter 17. Octonions - - + + + @@ -46,9 +47,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/overview.html b/doc/html/overview.html index 0a2f0fe4eb..dfcf52c9b0 100644 --- a/doc/html/overview.html +++ b/doc/html/overview.html @@ -4,10 +4,11 @@ Chapter 1. Overview - - - + + + + @@ -53,9 +54,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/perf.html b/doc/html/perf.html index 1383fdd8b4..5729145601 100644 --- a/doc/html/perf.html +++ b/doc/html/perf.html @@ -4,10 +4,11 @@ Chapter 22. Performance - - + + + @@ -43,9 +44,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/policy.html b/doc/html/policy.html index d1b2f9d5d2..6217f4049f 100644 --- a/doc/html/policy.html +++ b/doc/html/policy.html @@ -4,10 +4,11 @@ Chapter 21. Policies: Controlling Precision, Error Handling etc - - + + + @@ -72,9 +73,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/poly.html b/doc/html/poly.html index bbf641faa0..95269f5adb 100644 --- a/doc/html/poly.html +++ b/doc/html/poly.html @@ -4,10 +4,11 @@ Chapter 11. Polynomials and Rational Functions - - + + + @@ -35,9 +36,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/quadrature.html b/doc/html/quadrature.html index a8f9899184..20ee60ca6e 100644 --- a/doc/html/quadrature.html +++ b/doc/html/quadrature.html @@ -4,10 +4,11 @@ Chapter 13. Quadrature and Differentiation - - + + + @@ -56,9 +57,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/quaternions.html b/doc/html/quaternions.html index 51d01f1bb2..3ecfef471a 100644 --- a/doc/html/quaternions.html +++ b/doc/html/quaternions.html @@ -4,10 +4,11 @@ Chapter 16. Quaternions - - + + + @@ -47,9 +48,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/root_finding.html b/doc/html/root_finding.html index 3e83b07fc4..e7d5cb320e 100644 --- a/doc/html/root_finding.html +++ b/doc/html/root_finding.html @@ -4,10 +4,11 @@ Chapter 10. Root Finding & Minimization Algorithms - - + + + @@ -116,9 +117,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/special.html b/doc/html/special.html index bd3c56e4cd..37a7a6d2db 100644 --- a/doc/html/special.html +++ b/doc/html/special.html @@ -4,10 +4,11 @@ Chapter 8. Special Functions - - + + + @@ -240,9 +241,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/standalone_HTML.manifest b/doc/html/standalone_HTML.manifest index 719bb49ba1..e08f316425 100644 --- a/doc/html/standalone_HTML.manifest +++ b/doc/html/standalone_HTML.manifest @@ -162,6 +162,7 @@ math_toolkit/z_test.html math_toolkit/runs_test.html math_toolkit/ljung_box.html math_toolkit/linear_regression.html +math_toolkit/chatterjee_correlation.html vector_functionals.html math_toolkit/norms.html special.html diff --git a/doc/html/statistics.html b/doc/html/statistics.html index f84711f383..38ea19d8a1 100644 --- a/doc/html/statistics.html +++ b/doc/html/statistics.html @@ -4,10 +4,11 @@ Chapter 6. Statistics - - + + + @@ -37,12 +38,11 @@
    Runs tests
    The Ljung-Box Test
    Linear Regression
    +
    Chatterjee Correlation
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/status.html b/doc/html/status.html index 5f6c96026c..9bdf1a7e61 100644 --- a/doc/html/status.html +++ b/doc/html/status.html @@ -4,10 +4,11 @@ Chapter 24. Library Status - - + + + @@ -34,9 +35,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/using_udt.html b/doc/html/using_udt.html index 3d361c18cc..53c48b57c2 100644 --- a/doc/html/using_udt.html +++ b/doc/html/using_udt.html @@ -4,10 +4,11 @@ Chapter 20. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others - - + + + @@ -54,9 +55,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/utils.html b/doc/html/utils.html index 200bc8f054..473f43eb09 100644 --- a/doc/html/utils.html +++ b/doc/html/utils.html @@ -4,10 +4,11 @@ Chapter 2. Floating Point Utilities - - + + + @@ -70,9 +71,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/vector_functionals.html b/doc/html/vector_functionals.html index c413640a82..67a8f380d1 100644 --- a/doc/html/vector_functionals.html +++ b/doc/html/vector_functionals.html @@ -4,10 +4,11 @@ Chapter 7. Vector Functionals - Norms - - - + + + + @@ -20,7 +21,7 @@

    -PrevUpHomeNext +PrevUpHomeNext

    @@ -30,9 +31,7 @@
    Norms

    - - - -
    +

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/math.qbk b/doc/math.qbk index f3374a73d6..f4e80a39a7 100644 --- a/doc/math.qbk +++ b/doc/math.qbk @@ -9,7 +9,7 @@ ] [authors [Agrawal, Nikhar], [Bikineev, Anton], [Borland, Matthew], [Bristow, Paul A.], [Holin, Hubert], [Guazzone, Marco], [Kormanyos, Christopher], [Lalande, Bruno], [Maddock, John], [Miller, Evan], [Murphy, Jeremy W.], [Pulver, Matthew], [Råde, Johan], [Sobotta, Benjamin], [Sewani, Gautam], [Thompson, Nicholas], [van den Berg, Thijs], [Walker, Daryle], [Zhang, Xiaogang]] [/last-revision $Date$] - [version 4.1.0] + [version 4.1.1] ] [template mathpart[id title] diff --git a/doc/overview/roadmap.qbk b/doc/overview/roadmap.qbk index 10196bcfd1..b1c8b694da 100644 --- a/doc/overview/roadmap.qbk +++ b/doc/overview/roadmap.qbk @@ -8,6 +8,22 @@ All old bug reports including closed ones can be viewed on Trac Recent issues on GitHub [@https://github.com/boostorg/math/issues?utf8=%E2%9C%93&q=is%3Aissue here]. +[h4 Math-4.1.1 (Boost-1.84)] + +* Improve ccmath error detection. +* Remove use of deprecated std::numeric_limits<>::has_denorm, see [@https://github.com/boostorg/math/issues/1028 1028]. +* Correct non-convergence bug in non-central-t distribution, see [@https://github.com/boostorg/math/issues/1035 1035]. +* Adjust Bessel function approximation to [sub 1]F[sub 1] to avoid taking tgamma at a negative integer, see [@https://github.com/boostorg/math/issues/1034 1034]. +* Avoid spurious overflow and divide by zero in ibeta, see [@https://github.com/boostorg/math/issues/1006 1006]. +* Improve accuracy when using Sterling's approximation to tgamma, completes work started in [@https://github.com/boostorg/math/pull/1007 1007]. +* Fix inverse_discrete_quantile for large initial guesses, see [@https://github.com/boostorg/math/pull/1007 1007]. +* Improve Newton root finding, see [@https://github.com/boostorg/math/pull/1000 1000]. +* Fix median_absolute_deviation for non-zero centre, see [@https://github.com/boostorg/math/pull/997 997]. +* Fix up cstdfloat.hpp for gcc-14. +* Update to work for the new types declared in . +* Change hypergeometric_distribution to use 64 rather than 32 bit integers to avoid unnecessary overflow and restrictions on use. + + [h4 Math-4.1.0 (Boost-1.82)] * Added Estrin's method for polynomial evaluation. diff --git a/include/boost/math/special_functions/detail/round_fwd.hpp b/include/boost/math/special_functions/detail/round_fwd.hpp index c58459e36d..5d2e2688c3 100644 --- a/include/boost/math/special_functions/detail/round_fwd.hpp +++ b/include/boost/math/special_functions/detail/round_fwd.hpp @@ -21,37 +21,37 @@ namespace boost { template - typename tools::promote_args::type trunc(const T& v, const Policy& pol); + constexpr typename tools::promote_args::type trunc(const T& v, const Policy& pol); template - typename tools::promote_args::type trunc(const T& v); + constexpr typename tools::promote_args::type trunc(const T& v); template - int itrunc(const T& v, const Policy& pol); + constexpr int itrunc(const T& v, const Policy& pol); template - int itrunc(const T& v); + constexpr int itrunc(const T& v); template - long ltrunc(const T& v, const Policy& pol); + constexpr long ltrunc(const T& v, const Policy& pol); template - long ltrunc(const T& v); + constexpr long ltrunc(const T& v); template - long long lltrunc(const T& v, const Policy& pol); + constexpr long long lltrunc(const T& v, const Policy& pol); template - long long lltrunc(const T& v); + constexpr long long lltrunc(const T& v); template - typename tools::promote_args::type round(const T& v, const Policy& pol); + constexpr typename tools::promote_args::type round(const T& v, const Policy& pol); template - typename tools::promote_args::type round(const T& v); + constexpr typename tools::promote_args::type round(const T& v); template - int iround(const T& v, const Policy& pol); + constexpr int iround(const T& v, const Policy& pol); template - int iround(const T& v); + constexpr int iround(const T& v); template - long lround(const T& v, const Policy& pol); + constexpr long lround(const T& v, const Policy& pol); template - long lround(const T& v); + constexpr long lround(const T& v); template - long long llround(const T& v, const Policy& pol); + constexpr long long llround(const T& v, const Policy& pol); template - long long llround(const T& v); + constexpr long long llround(const T& v); template T modf(const T& v, T* ipart, const Policy& pol); template diff --git a/include/boost/math/special_functions/round.hpp b/include/boost/math/special_functions/round.hpp index e74acba85b..a482aa2e91 100644 --- a/include/boost/math/special_functions/round.hpp +++ b/include/boost/math/special_functions/round.hpp @@ -12,7 +12,7 @@ #endif #include -#include +#include #include #include #include @@ -30,12 +30,12 @@ namespace boost{ namespace math{ namespace detail{ template -inline tools::promote_args_t round(const T& v, const Policy& pol, const std::false_type&) +constexpr inline tools::promote_args_t round(const T& v, const Policy& pol, const std::false_type&) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; - if(!(boost::math::isfinite)(v)) + if(!BOOST_MATH_CONSTEXPR_ISFINITE(v)) { return policies::raise_rounding_error("boost::math::round<%1%>(%1%)", nullptr, static_cast(v), static_cast(v), pol); } @@ -54,18 +54,18 @@ inline tools::promote_args_t round(const T& v, const Policy& pol, const std:: { // subtract v from ceil(v) first in order to avoid rounding // errors on largest representable integer numbers - result_type c(ceil(v)); + result_type c(BOOST_MATH_CONSTEXPR_CEIL(v)); return T(0.5) < c - v ? c - 1 : c; } else { // see former branch - result_type f(floor(v)); + result_type f(BOOST_MATH_CONSTEXPR_FLOOR(v)); return T(0.5) < v - f ? f + 1 : f; } } template -inline tools::promote_args_t round(const T& v, const Policy&, const std::true_type&) +constexpr inline tools::promote_args_t round(const T& v, const Policy&, const std::true_type&) { return v; } @@ -73,12 +73,12 @@ inline tools::promote_args_t round(const T& v, const Policy&, const std::true } // namespace detail template -inline tools::promote_args_t round(const T& v, const Policy& pol) +constexpr inline tools::promote_args_t round(const T& v, const Policy& pol) { return detail::round(v, pol, std::integral_constant::value>()); } template -inline tools::promote_args_t round(const T& v) +constexpr inline tools::promote_args_t round(const T& v) { return round(v, policies::policy<>()); } @@ -96,7 +96,7 @@ inline tools::promote_args_t round(const T& v) // https://stackoverflow.com/questions/27442885/syntax-error-with-stdnumeric-limitsmax // template -inline int iround(const T& v, const Policy& pol) +constexpr inline int iround(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; @@ -138,13 +138,13 @@ inline int iround(const T& v, const Policy& pol) return static_cast(r); } template -inline int iround(const T& v) +constexpr inline int iround(const T& v) { return iround(v, policies::policy<>()); } template -inline long lround(const T& v, const Policy& pol) +constexpr inline long lround(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; @@ -186,13 +186,13 @@ inline long lround(const T& v, const Policy& pol) return static_cast(r); } template -inline long lround(const T& v) +constexpr inline long lround(const T& v) { return lround(v, policies::policy<>()); } template -inline long long llround(const T& v, const Policy& pol) +constexpr inline long long llround(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = boost::math::tools::promote_args_t; @@ -234,7 +234,7 @@ inline long long llround(const T& v, const Policy& pol) return static_cast(r); } template -inline long long llround(const T& v) +constexpr inline long long llround(const T& v) { return llround(v, policies::policy<>()); } diff --git a/include/boost/math/special_functions/trunc.hpp b/include/boost/math/special_functions/trunc.hpp index a084de560b..e7515fa7df 100644 --- a/include/boost/math/special_functions/trunc.hpp +++ b/include/boost/math/special_functions/trunc.hpp @@ -14,7 +14,7 @@ #include #include #include -#include +#include #include #include #include @@ -27,19 +27,19 @@ namespace boost{ namespace math{ namespace detail{ template -inline tools::promote_args_t trunc(const T& v, const Policy& pol, const std::false_type&) +constexpr inline tools::promote_args_t trunc(const T& v, const Policy& pol, const std::false_type&) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; - if(!(boost::math::isfinite)(v)) + if(!BOOST_MATH_CONSTEXPR_ISFINITE(v)) { return policies::raise_rounding_error("boost::math::trunc<%1%>(%1%)", nullptr, static_cast(v), static_cast(v), pol); } - return (v >= 0) ? static_cast(floor(v)) : static_cast(ceil(v)); + return (v >= 0) ? static_cast(BOOST_MATH_CONSTEXPR_FLOOR(v)) : static_cast(BOOST_MATH_CONSTEXPR_CEIL(v)); } template -inline tools::promote_args_t trunc(const T& v, const Policy&, const std::true_type&) +constexpr inline tools::promote_args_t trunc(const T& v, const Policy&, const std::true_type&) { return v; } @@ -47,12 +47,12 @@ inline tools::promote_args_t trunc(const T& v, const Policy&, const std::true } template -inline tools::promote_args_t trunc(const T& v, const Policy& pol) +constexpr inline tools::promote_args_t trunc(const T& v, const Policy& pol) { return detail::trunc(v, pol, std::integral_constant::value>()); } template -inline tools::promote_args_t trunc(const T& v) +constexpr inline tools::promote_args_t trunc(const T& v) { return trunc(v, policies::policy<>()); } @@ -70,7 +70,7 @@ inline tools::promote_args_t trunc(const T& v) // https://stackoverflow.com/questions/27442885/syntax-error-with-stdnumeric-limitsmax // template -inline int itrunc(const T& v, const Policy& pol) +constexpr inline int itrunc(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; @@ -111,13 +111,13 @@ inline int itrunc(const T& v, const Policy& pol) return static_cast(r); } template -inline int itrunc(const T& v) +constexpr inline int itrunc(const T& v) { return itrunc(v, policies::policy<>()); } template -inline long ltrunc(const T& v, const Policy& pol) +constexpr inline long ltrunc(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; @@ -158,13 +158,13 @@ inline long ltrunc(const T& v, const Policy& pol) return static_cast(r); } template -inline long ltrunc(const T& v) +constexpr inline long ltrunc(const T& v) { return ltrunc(v, policies::policy<>()); } template -inline long long lltrunc(const T& v, const Policy& pol) +constexpr inline long long lltrunc(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; @@ -205,20 +205,20 @@ inline long long lltrunc(const T& v, const Policy& pol) return static_cast(r); } template -inline long long lltrunc(const T& v) +constexpr inline long long lltrunc(const T& v) { return lltrunc(v, policies::policy<>()); } template -inline typename std::enable_if::value, int>::type +constexpr inline typename std::enable_if::value, int>::type iconvert(const T& v, const Policy&) { return static_cast(v); } template -inline typename std::enable_if::value, int>::type +constexpr inline typename std::enable_if::value, int>::type iconvert(const T& v, const Policy& pol) { using boost::math::itrunc; @@ -226,14 +226,14 @@ inline typename std::enable_if::value, int>::type } template -inline typename std::enable_if::value, long>::type +constexpr inline typename std::enable_if::value, long>::type lconvert(const T& v, const Policy&) { return static_cast(v); } template -inline typename std::enable_if::value, long>::type +constexpr inline typename std::enable_if::value, long>::type lconvert(const T& v, const Policy& pol) { using boost::math::ltrunc; @@ -241,14 +241,14 @@ inline typename std::enable_if::value, long>::ty } template -inline typename std::enable_if::value, long long>::type +constexpr inline typename std::enable_if::value, long long>::type llconvertert(const T& v, const Policy&) { return static_cast(v); } template -inline typename std::enable_if::value, long long>::type +constexpr inline typename std::enable_if::value, long long>::type llconvertert(const T& v, const Policy& pol) { using boost::math::lltrunc; From fd0a0bf207186514c88b69ea1c99fc4faf4ba650 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Sat, 18 Nov 2023 08:23:17 +0100 Subject: [PATCH 18/21] Revert "Update version history." 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doc/html/math_toolkit/sf_poly/sph_harm.html | 10 +- doc/html/math_toolkit/sign_functions.html | 10 +- doc/html/math_toolkit/signal_statistics.html | 10 +- doc/html/math_toolkit/sinc.html | 10 +- doc/html/math_toolkit/sinc/sinc_overview.html | 10 +- doc/html/math_toolkit/sinc/sinc_pi.html | 10 +- doc/html/math_toolkit/sinc/sinhc_pi.html | 10 +- doc/html/math_toolkit/spec.html | 10 +- doc/html/math_toolkit/special_tut.html | 10 +- .../special_tut/special_tut_impl.html | 10 +- .../special_tut/special_tut_test.html | 10 +- doc/html/math_toolkit/specified_typedefs.html | 10 +- doc/html/math_toolkit/standalone.html | 10 +- doc/html/math_toolkit/stat_tut.html | 10 +- .../math_toolkit/stat_tut/dist_params.html | 10 +- doc/html/math_toolkit/stat_tut/overview.html | 10 +- .../stat_tut/overview/complements.html | 10 +- .../stat_tut/overview/generic.html | 10 +- .../stat_tut/overview/headers.html | 10 +- .../stat_tut/overview/objects.html | 10 +- .../stat_tut/overview/parameters.html | 10 +- 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doc/html/math_toolkit/tradoffs.html | 10 +- doc/html/math_toolkit/trans.html | 10 +- doc/html/math_toolkit/trapezoidal.html | 10 +- doc/html/math_toolkit/tuning.html | 10 +- doc/html/math_toolkit/tutorial.html | 10 +- doc/html/math_toolkit/tutorial/non_templ.html | 10 +- doc/html/math_toolkit/tutorial/templ.html | 10 +- doc/html/math_toolkit/tutorial/user_def.html | 10 +- doc/html/math_toolkit/ulps_plots.html | 10 +- .../math_toolkit/univariate_statistics.html | 10 +- doc/html/math_toolkit/value_op.html | 10 +- doc/html/math_toolkit/vector_barycentric.html | 10 +- doc/html/math_toolkit/wavelet_transforms.html | 10 +- doc/html/math_toolkit/whittaker_shannon.html | 10 +- doc/html/math_toolkit/z_test.html | 10 +- doc/html/math_toolkit/zetas.html | 10 +- doc/html/math_toolkit/zetas/zeta.html | 10 +- doc/html/octonions.html | 12 +- doc/html/overview.html | 14 +- doc/html/perf.html | 12 +- doc/html/policy.html | 12 +- doc/html/poly.html | 12 +- doc/html/quadrature.html | 12 +- doc/html/quaternions.html | 12 +- doc/html/root_finding.html | 12 +- doc/html/special.html | 12 +- doc/html/standalone_HTML.manifest | 1 - doc/html/statistics.html | 13 +- doc/html/status.html | 12 +- doc/html/using_udt.html | 12 +- doc/html/utils.html | 12 +- doc/html/vector_functionals.html | 18 +- doc/math.qbk | 2 +- doc/overview/roadmap.qbk | 16 -- .../special_functions/detail/round_fwd.hpp | 32 ++-- .../boost/math/special_functions/round.hpp | 28 ++-- .../boost/math/special_functions/trunc.hpp | 38 ++--- 493 files changed, 3132 insertions(+), 2466 deletions(-) delete mode 100644 doc/html/math_toolkit/chatterjee_correlation.html diff --git a/doc/html/backgrounders.html b/doc/html/backgrounders.html index 86ab4b66b3..b29bcfd47e 100644 --- a/doc/html/backgrounders.html +++ b/doc/html/backgrounders.html @@ -4,11 +4,10 @@ Chapter 23. Backgrounders - - + + - @@ -51,7 +50,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/constants.html b/doc/html/constants.html index 6ebbbe5ad3..d606b0db59 100644 --- a/doc/html/constants.html +++ b/doc/html/constants.html @@ -4,11 +4,10 @@ Chapter 4. Mathematical Constants - - + + - @@ -44,7 +43,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/cstdfloat.html b/doc/html/cstdfloat.html index bd34f49604..bf38d84cff 100644 --- a/doc/html/cstdfloat.html +++ b/doc/html/cstdfloat.html @@ -4,11 +4,10 @@ Chapter 3. Specified-width floating-point typedefs - - + + - @@ -52,7 +51,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/dist.html b/doc/html/dist.html index a0c6c30929..204ba06791 100644 --- a/doc/html/dist.html +++ b/doc/html/dist.html @@ -4,11 +4,10 @@ Chapter 5. Statistical Distributions and Functions - - + + - @@ -207,7 +206,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/extern_c.html b/doc/html/extern_c.html index 27485f538a..9a01395650 100644 --- a/doc/html/extern_c.html +++ b/doc/html/extern_c.html @@ -4,11 +4,10 @@ Chapter 9. TR1 and C99 external "C" Functions - - + + - @@ -35,7 +34,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/filters.html b/doc/html/filters.html index e66f217193..332d9b21e7 100644 --- a/doc/html/filters.html +++ b/doc/html/filters.html @@ -4,11 +4,10 @@ Chapter 14. Filters - - + + - @@ -31,7 +30,9 @@
    Daubechies Filters
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/gcd_lcm.html b/doc/html/gcd_lcm.html index 083588afd2..a656eb9b57 100644 --- a/doc/html/gcd_lcm.html +++ b/doc/html/gcd_lcm.html @@ -4,11 +4,10 @@ Chapter 18. Integer Utilities (Greatest Common Divisor and Least Common Multiple) - - + + - @@ -36,7 +35,9 @@ continue to exist and redirect to the moved headers.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/index.html b/doc/html/index.html index ebf1df493e..b5ebdf6e15 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -1,12 +1,11 @@ -Math Toolkit 4.1.1 +Math Toolkit 4.1.0 - + - @@ -23,7 +22,7 @@

    -Math Toolkit 4.1.1

    +Math Toolkit 4.1.0

    Nikhar Agrawal @@ -134,7 +133,10 @@

    - +
    + + +

    Last revised: February 23, 2023 at 18:11:17 GMT


    Next
    diff --git a/doc/html/indexes.html b/doc/html/indexes.html index 2b99eff987..f3d1541533 100644 --- a/doc/html/indexes.html +++ b/doc/html/indexes.html @@ -4,11 +4,10 @@ Chapter 25. Indexes - - + + - @@ -37,7 +36,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s01.html b/doc/html/indexes/s01.html index bdd7521830..2b5d2dfe85 100644 --- a/doc/html/indexes/s01.html +++ b/doc/html/indexes/s01.html @@ -4,11 +4,10 @@ Function Index - + - @@ -25,7 +24,7 @@

    -Function Index

    +Function Index

    1 2 4 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s02.html b/doc/html/indexes/s02.html index db175c17e5..4850bc7c7c 100644 --- a/doc/html/indexes/s02.html +++ b/doc/html/indexes/s02.html @@ -4,11 +4,10 @@ Class Index - + - @@ -25,7 +24,7 @@

    -Class Index

    +Class Index

    A B C D E F G H I K L M N O P Q R S T U V W

    @@ -467,7 +466,9 @@
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s03.html b/doc/html/indexes/s03.html index 2c28b94101..2b8a2b5b62 100644 --- a/doc/html/indexes/s03.html +++ b/doc/html/indexes/s03.html @@ -4,11 +4,10 @@ Typedef Index - + - @@ -25,7 +24,7 @@

    -Typedef Index

    +Typedef Index

    A B C D E F G H I K L N P R S T U V W

    @@ -386,7 +385,9 @@
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s04.html b/doc/html/indexes/s04.html index e6748a3007..644a774352 100644 --- a/doc/html/indexes/s04.html +++ b/doc/html/indexes/s04.html @@ -4,11 +4,10 @@ Macro Index - + - @@ -25,7 +24,7 @@

    -Macro Index

    +Macro Index

    B F

    @@ -374,7 +373,9 @@
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/indexes/s05.html b/doc/html/indexes/s05.html index ba5052d7f8..1d13dcd6bb 100644 --- a/doc/html/indexes/s05.html +++ b/doc/html/indexes/s05.html @@ -4,10 +4,9 @@ Index - + - @@ -24,7 +23,7 @@

    -Index

    +Index

    1 2 4 5 7 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _

    -
    + + +
    +

    PrevUpHome diff --git a/doc/html/internals.html b/doc/html/internals.html index 56aa0eccc4..daf0ab7b2c 100644 --- a/doc/html/internals.html +++ b/doc/html/internals.html @@ -4,11 +4,10 @@ Chapter 19. Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools - - + + - @@ -57,7 +56,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/interpolation.html b/doc/html/interpolation.html index b603e18533..2d54f46114 100644 --- a/doc/html/interpolation.html +++ b/doc/html/interpolation.html @@ -4,11 +4,10 @@ Chapter 12. Interpolation - - + + - @@ -51,7 +50,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/inverse_complex.html b/doc/html/inverse_complex.html index ffffbc7595..781eea65cd 100644 --- a/doc/html/inverse_complex.html +++ b/doc/html/inverse_complex.html @@ -4,11 +4,10 @@ Chapter 15. Complex Number Functions - - + + - @@ -47,7 +46,9 @@ Report on C++ Library Extensions.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acknowledgement.html b/doc/html/math_toolkit/acknowledgement.html index 32ec4dd3ee..52eaee594f 100644 --- a/doc/html/math_toolkit/acknowledgement.html +++ b/doc/html/math_toolkit/acknowledgement.html @@ -4,11 +4,10 @@ Acknowledgements - + - @@ -34,7 +33,9 @@ section. Thank you to all who contributed to the discution about this library.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acknowledgements.html b/doc/html/math_toolkit/acknowledgements.html index 15d6762589..0a0906b9d4 100644 --- a/doc/html/math_toolkit/acknowledgements.html +++ b/doc/html/math_toolkit/acknowledgements.html @@ -4,11 +4,10 @@ Acknowledgements - + - @@ -34,7 +33,9 @@ section. Thank you to all who contributed to the discussion about this library.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acos.html b/doc/html/math_toolkit/acos.html index dc9e90dc63..f813c0b1d2 100644 --- a/doc/html/math_toolkit/acos.html +++ b/doc/html/math_toolkit/acos.html @@ -4,11 +4,10 @@ acos - + - @@ -48,7 +47,9 @@
    Formula:

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acosh.html b/doc/html/math_toolkit/acosh.html index f137666eae..a0130c330f 100644 --- a/doc/html/math_toolkit/acosh.html +++ b/doc/html/math_toolkit/acosh.html @@ -4,11 +4,10 @@ acosh - + - @@ -48,7 +47,9 @@
    Formula:

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy.html b/doc/html/math_toolkit/airy.html index f278a7397e..272a42631a 100644 --- a/doc/html/math_toolkit/airy.html +++ b/doc/html/math_toolkit/airy.html @@ -4,11 +4,10 @@ Airy Functions - + - @@ -35,7 +34,9 @@
    Finding Zeros of Airy Functions
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/ai.html b/doc/html/math_toolkit/airy/ai.html index 2aa4357847..bc4cde1534 100644 --- a/doc/html/math_toolkit/airy/ai.html +++ b/doc/html/math_toolkit/airy/ai.html @@ -4,11 +4,10 @@ Airy Ai Function - + - @@ -116,7 +115,9 @@

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/aip.html b/doc/html/math_toolkit/airy/aip.html index 13621f8ca0..a16bc4113c 100644 --- a/doc/html/math_toolkit/airy/aip.html +++ b/doc/html/math_toolkit/airy/aip.html @@ -4,11 +4,10 @@ Airy Ai' Function - + - @@ -108,7 +107,9 @@

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/airy_root.html b/doc/html/math_toolkit/airy/airy_root.html index 43bfee0eef..4f5dcfdbc8 100644 --- a/doc/html/math_toolkit/airy/airy_root.html +++ b/doc/html/math_toolkit/airy/airy_root.html @@ -4,11 +4,10 @@ Finding Zeros of Airy Functions - + - @@ -461,7 +460,9 @@

    Alpha.

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/bi.html b/doc/html/math_toolkit/airy/bi.html index 78e19f5846..14b6541e97 100644 --- a/doc/html/math_toolkit/airy/bi.html +++ b/doc/html/math_toolkit/airy/bi.html @@ -4,11 +4,10 @@ Airy Bi Function - + - @@ -107,7 +106,9 @@

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy/bip.html b/doc/html/math_toolkit/airy/bip.html index 411b622fba..77ac68c130 100644 --- a/doc/html/math_toolkit/airy/bip.html +++ b/doc/html/math_toolkit/airy/bip.html @@ -4,11 +4,10 @@ Airy Bi' Function - + - @@ -108,7 +107,9 @@

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/anderson_darling.html b/doc/html/math_toolkit/anderson_darling.html index 6ee8655a78..f9a66831ea 100644 --- a/doc/html/math_toolkit/anderson_darling.html +++ b/doc/html/math_toolkit/anderson_darling.html @@ -4,11 +4,10 @@ The Anderson-Darling Test - + - @@ -191,7 +190,9 @@

    of the Anderson-Darling test statistic agrees with Mathematica.

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/archetypes.html b/doc/html/math_toolkit/archetypes.html index 01a0539917..6b8083aab2 100644 --- a/doc/html/math_toolkit/archetypes.html +++ b/doc/html/math_toolkit/archetypes.html @@ -4,11 +4,10 @@ Conceptual Archetypes for Reals and Distributions - + - @@ -178,7 +177,9 @@

    implemented in there too.)

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/asin.html b/doc/html/math_toolkit/asin.html index d24d241600..f41968c9ff 100644 --- a/doc/html/math_toolkit/asin.html +++ b/doc/html/math_toolkit/asin.html @@ -4,11 +4,10 @@ asin - + - @@ -48,7 +47,9 @@
    Formula:

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/asinh.html b/doc/html/math_toolkit/asinh.html index 42166c69b9..f495ad9a46 100644 --- a/doc/html/math_toolkit/asinh.html +++ b/doc/html/math_toolkit/asinh.html @@ -4,11 +4,10 @@ asinh - + - @@ -48,7 +47,9 @@
    Formula:

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/atan.html b/doc/html/math_toolkit/atan.html index 6ebf1f0a3f..6189591fee 100644 --- a/doc/html/math_toolkit/atan.html +++ b/doc/html/math_toolkit/atan.html @@ -4,11 +4,10 @@ atan - + - @@ -48,7 +47,9 @@
    Formula:

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/atanh.html b/doc/html/math_toolkit/atanh.html index 4e63a8612b..16e89c8fb4 100644 --- a/doc/html/math_toolkit/atanh.html +++ b/doc/html/math_toolkit/atanh.html @@ -4,11 +4,10 @@ atanh - + - @@ -48,7 +47,9 @@
    Formula:

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/autodiff.html b/doc/html/math_toolkit/autodiff.html index fd4fdc5876..6e4b20a98b 100644 --- a/doc/html/math_toolkit/autodiff.html +++ b/doc/html/math_toolkit/autodiff.html @@ -4,11 +4,10 @@ Automatic Differentiation - + - @@ -400,7 +399,9 @@

    manual.

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bad_guess.html b/doc/html/math_toolkit/bad_guess.html index d873721a2f..756d317647 100644 --- a/doc/html/math_toolkit/bad_guess.html +++ b/doc/html/math_toolkit/bad_guess.html @@ -4,11 +4,10 @@ The Effect of a Poor Initial Guess - + - @@ -758,7 +757,9 @@ when using derivatives.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bad_roots.html b/doc/html/math_toolkit/bad_roots.html index df4e4eccc9..f26e434e0d 100644 --- a/doc/html/math_toolkit/bad_roots.html +++ b/doc/html/math_toolkit/bad_roots.html @@ -4,11 +4,10 @@ Examples Where Root Finding Goes Wrong - + - @@ -109,7 +108,9 @@

    and for z0 > 0 the steps are actually divergent.

    -

    + + +
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/barycentric.html b/doc/html/math_toolkit/barycentric.html index 5d443533af..659ded546f 100644 --- a/doc/html/math_toolkit/barycentric.html +++ b/doc/html/math_toolkit/barycentric.html @@ -4,11 +4,10 @@ Barycentric Rational Interpolation - + - @@ -269,7 +268,9 @@

    Root was found in 10 iterations. -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel.html b/doc/html/math_toolkit/bessel.html index ba429d56ec..bfcd26d3b7 100644 --- a/doc/html/math_toolkit/bessel.html +++ b/doc/html/math_toolkit/bessel.html @@ -4,11 +4,10 @@ Bessel Functions - + - @@ -41,7 +40,9 @@ the Bessel Functions -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/bessel_derivatives.html b/doc/html/math_toolkit/bessel/bessel_derivatives.html index 9c3b68f06c..129a03766d 100644 --- a/doc/html/math_toolkit/bessel/bessel_derivatives.html +++ b/doc/html/math_toolkit/bessel/bessel_derivatives.html @@ -4,11 +4,10 @@ Derivatives of the Bessel Functions - + - @@ -1437,7 +1436,9 @@

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/bessel_first.html b/doc/html/math_toolkit/bessel/bessel_first.html index 46e55e05d8..e5942506b6 100644 --- a/doc/html/math_toolkit/bessel/bessel_first.html +++ b/doc/html/math_toolkit/bessel/bessel_first.html @@ -4,11 +4,10 @@ Bessel Functions of the First and Second Kinds - + - @@ -1368,7 +1367,9 @@
    recurrence.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/bessel_over.html b/doc/html/math_toolkit/bessel/bessel_over.html index 1960c93cec..c2a200ddf3 100644 --- a/doc/html/math_toolkit/bessel/bessel_over.html +++ b/doc/html/math_toolkit/bessel/bessel_over.html @@ -4,11 +4,10 @@ Bessel Function Overview - + - @@ -216,7 +215,9 @@
    and sph_neumann.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/bessel_root.html b/doc/html/math_toolkit/bessel/bessel_root.html index 92971a0641..f2d03c3a7a 100644 --- a/doc/html/math_toolkit/bessel/bessel_root.html +++ b/doc/html/math_toolkit/bessel/bessel_root.html @@ -4,11 +4,10 @@ Finding Zeros of Bessel Functions of the First and Second Kinds - + - @@ -756,7 +755,9 @@

    Alpha.

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/mbessel.html b/doc/html/math_toolkit/bessel/mbessel.html index bfd73b84d5..1d5880d21b 100644 --- a/doc/html/math_toolkit/bessel/mbessel.html +++ b/doc/html/math_toolkit/bessel/mbessel.html @@ -4,11 +4,10 @@ Modified Bessel Functions of the First and Second Kinds - + - @@ -1181,7 +1180,9 @@
    two values and fν, the Wronskian yields Iν(x) directly.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bessel/sph_bessel.html b/doc/html/math_toolkit/bessel/sph_bessel.html index d42a7bbfe7..025b803cc7 100644 --- a/doc/html/math_toolkit/bessel/sph_bessel.html +++ b/doc/html/math_toolkit/bessel/sph_bessel.html @@ -4,11 +4,10 @@ Spherical Bessel Functions of the First and Second Kinds - + - @@ -273,7 +272,9 @@
    main definition as x → 0.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bezier_polynomial.html b/doc/html/math_toolkit/bezier_polynomial.html index 6dd232725e..5ec26eeeb6 100644 --- a/doc/html/math_toolkit/bezier_polynomial.html +++ b/doc/html/math_toolkit/bezier_polynomial.html @@ -4,11 +4,10 @@ Bezier Polynomials - + - @@ -234,7 +233,9 @@

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bilinear_uniform.html b/doc/html/math_toolkit/bilinear_uniform.html index e5b9a43fd4..26cca6dff2 100644 --- a/doc/html/math_toolkit/bilinear_uniform.html +++ b/doc/html/math_toolkit/bilinear_uniform.html @@ -4,11 +4,10 @@ Bilinear Uniform Interpolation - + - @@ -125,7 +124,9 @@

    Bilinear<double>/8192 13.2 ns -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/bivariate_statistics.html b/doc/html/math_toolkit/bivariate_statistics.html index 5b39e5da55..1435f61652 100644 --- a/doc/html/math_toolkit/bivariate_statistics.html +++ b/doc/html/math_toolkit/bivariate_statistics.html @@ -4,11 +4,10 @@ Bivariate Statistics - + - @@ -138,7 +137,9 @@

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/brent_minima.html b/doc/html/math_toolkit/brent_minima.html index 4315a77e37..de2304809a 100644 --- a/doc/html/math_toolkit/brent_minima.html +++ b/doc/html/math_toolkit/brent_minima.html @@ -4,11 +4,10 @@ Locating Function Minima using Brent's algorithm - + - @@ -650,7 +649,9 @@
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/building.html b/doc/html/math_toolkit/building.html index f49a9f9e34..c270a5a7d0 100644 --- a/doc/html/math_toolkit/building.html +++ b/doc/html/math_toolkit/building.html @@ -4,11 +4,10 @@ If and How to Build a Boost.Math Library, and its Examples and Tests - + - @@ -146,7 +145,9 @@
    the sources. Boost.Build will do this automatically when appropriate.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/c99.html b/doc/html/math_toolkit/c99.html index 3867e13765..5881569324 100644 --- a/doc/html/math_toolkit/c99.html +++ b/doc/html/math_toolkit/c99.html @@ -4,11 +4,10 @@ C99 C Functions - + - @@ -462,7 +461,9 @@
    ISO Standard

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cardinal_cubic_b.html b/doc/html/math_toolkit/cardinal_cubic_b.html index faf45cf96b..62dca00371 100644 --- a/doc/html/math_toolkit/cardinal_cubic_b.html +++ b/doc/html/math_toolkit/cardinal_cubic_b.html @@ -4,11 +4,10 @@ Cardinal Cubic B-spline interpolation - + - @@ -312,7 +311,9 @@

    Found in 3 iterations -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cardinal_quadratic_b.html b/doc/html/math_toolkit/cardinal_quadratic_b.html index fed84661ef..adf1717940 100644 --- a/doc/html/math_toolkit/cardinal_quadratic_b.html +++ b/doc/html/math_toolkit/cardinal_quadratic_b.html @@ -4,11 +4,10 @@ Cardinal Quadratic B-spline interpolation - + - @@ -84,7 +83,9 @@

    differentiable, but not three or four times differentiable.

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cardinal_quintic_b.html b/doc/html/math_toolkit/cardinal_quintic_b.html index 7961239352..30d27e0177 100644 --- a/doc/html/math_toolkit/cardinal_quintic_b.html +++ b/doc/html/math_toolkit/cardinal_quintic_b.html @@ -4,11 +4,10 @@ Cardinal Quintic B-spline interpolation - + - @@ -121,7 +120,9 @@

    of data by spline functions. Diss. City, University of London, 1975.

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cardinal_trigonometric.html b/doc/html/math_toolkit/cardinal_trigonometric.html index 4c9049f63a..230f548a45 100644 --- a/doc/html/math_toolkit/cardinal_trigonometric.html +++ b/doc/html/math_toolkit/cardinal_trigonometric.html @@ -4,11 +4,10 @@ Cardinal Trigonometric interpolation - + - @@ -149,7 +148,9 @@

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/catmull_rom.html b/doc/html/math_toolkit/catmull_rom.html index 7867e8ff35..dfe10da166 100644 --- a/doc/html/math_toolkit/catmull_rom.html +++ b/doc/html/math_toolkit/catmull_rom.html @@ -4,11 +4,10 @@ Catmull-Rom Splines - + - @@ -352,7 +351,9 @@

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ccmath.html b/doc/html/math_toolkit/ccmath.html index 670550ee7c..ad68936f98 100644 --- a/doc/html/math_toolkit/ccmath.html +++ b/doc/html/math_toolkit/ccmath.html @@ -4,11 +4,10 @@ Constexpr CMath - + - @@ -233,7 +232,9 @@

    } // Namespaces -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/chatterjee_correlation.html b/doc/html/math_toolkit/chatterjee_correlation.html deleted file mode 100644 index b00f732609..0000000000 --- a/doc/html/math_toolkit/chatterjee_correlation.html +++ /dev/null @@ -1,132 +0,0 @@ - - - -Chatterjee Correlation - - - - - - - - - - - - - - - - -
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    -
    -
    -PrevUpHomeNext -
    -
    - -

    - - Synopsis -

    -
    #include <boost/math/statistics/chatterjee_correlation.hpp>
    -
    -namespace boost::math::statistics {
    -
    -    C++17:
    -    template <typename ExecutionPolicy, typename Container>
    -    auto chatterjee_correlation(ExecutionPolicy&& exec, const Container& u, const Container& v);
    -
    -    C++11:
    -    template <typename Container>
    -    auto chatterjee_correlation(const Container& u, const Container& v);
    -}
    -
    -

    - - Description -

    -

    - The classical correlation coefficients like the Pearson's correlation are useful - primarily for distinguishing when one dataset depends linearly on another. - However, Pearson's correlation coefficient has a known weakness in that when - the dependent variable has an obvious functional relationship with the independent - variable, the value of the correlation coefficient can take on any value. As - Chatterjee says: -

    -

    - > Ideally, one would like a coefficient that approaches its maximum value - if and only if one variable looks more and more like a noiseless function of - the other, just as Pearson correlation is close to its maximum value if and - only if one variable is close to being a noiseless linear function of the other. -

    -

    - This is the problem Chatterjee's coefficient solves. Let X and Y be random - variables, where Y is not constant, and let (X_i, Y_i) be samples from this - distribution. Rearrange these samples so that X_(0) < X_{(1)} < ... X_{(n-1)} - and create (R(X_{(i)}), R(Y_{(i)})). The Chatterjee correlation is then given - by -

    -

    - -

    -

    - In the limit of an infinite amount of i.i.d data, the statistic lies in [0, - 1]. However, if the data is not infinite, the statistic may be negative. If - X and Y are independent, the value is zero, and if Y is a measurable function - of X, then the statistic is unity. The complexity is O(n log n). -

    -

    - An example is given below: -

    -
    std::vector<double> X{1,2,3,4,5};
    -std::vector<double> Y{1,2,3,4,5};
    -using boost::math::statistics::chatterjee_correlation;
    -double coeff = chatterjee_correlation(X, Y);
    -
    -

    - The implementation follows Chatterjee's - paper. -

    -

    - Nota bene: If the input is an integer type the output - will be a double precision type. -

    -

    - - Invariants -

    -

    - The function expects at least two samples, a non-constant vector Y, and the - same number of X's as Y's. If Y is constant, the result is a quiet NaN. The - data set must be sorted by X values. If there are ties in the values of X, - then the statistic is random due to the random breaking of ties. Of course, - random numbers are not used internally, but the result is not guaranteed to - be identical on different systems. -

    -

    - - References -

    -
    • - Chatterjee, Sourav. "A new coefficient of correlation." Journal - of the American Statistical Association 116.536 (2021): 2009-2022. -
    -
    - -
    -
    -PrevUpHomeNext -
    - - diff --git a/doc/html/math_toolkit/comp_compilers.html b/doc/html/math_toolkit/comp_compilers.html index 703c20936a..e33a1aa759 100644 --- a/doc/html/math_toolkit/comp_compilers.html +++ b/doc/html/math_toolkit/comp_compilers.html @@ -4,11 +4,10 @@ Comparing Different Compilers - + - @@ -3193,7 +3192,9 @@
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/comparisons.html b/doc/html/math_toolkit/comparisons.html index 403cf326e7..9f52bfddc4 100644 --- a/doc/html/math_toolkit/comparisons.html +++ b/doc/html/math_toolkit/comparisons.html @@ -4,11 +4,10 @@ Comparisons to Other Open Source Libraries - + - @@ -4719,7 +4718,9 @@
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/compilers_overview.html b/doc/html/math_toolkit/compilers_overview.html index 72a0a507fa..92984b75b1 100644 --- a/doc/html/math_toolkit/compilers_overview.html +++ b/doc/html/math_toolkit/compilers_overview.html @@ -4,11 +4,10 @@ Compilers - + - @@ -665,7 +664,9 @@ acceptable or not.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/complex_history.html b/doc/html/math_toolkit/complex_history.html index c2518faa2a..a8a2a30c82 100644 --- a/doc/html/math_toolkit/complex_history.html +++ b/doc/html/math_toolkit/complex_history.html @@ -4,11 +4,10 @@ History - + - @@ -36,7 +35,9 @@ -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/complex_implementation.html b/doc/html/math_toolkit/complex_implementation.html index b5573b7d17..98ee347fff 100644 --- a/doc/html/math_toolkit/complex_implementation.html +++ b/doc/html/math_toolkit/complex_implementation.html @@ -4,11 +4,10 @@ Implementation and Accuracy - + - @@ -45,7 +44,9 @@ paper for more information on the implementation methodology.

    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cond.html b/doc/html/math_toolkit/cond.html index 95329b7ff9..8b3a9fd1a7 100644 --- a/doc/html/math_toolkit/cond.html +++ b/doc/html/math_toolkit/cond.html @@ -4,11 +4,10 @@ Condition Numbers - + - @@ -167,7 +166,9 @@

    -

    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/config_macros.html b/doc/html/math_toolkit/config_macros.html index 7681b650c5..4a3bb6cd47 100644 --- a/doc/html/math_toolkit/config_macros.html +++ b/doc/html/math_toolkit/config_macros.html @@ -4,11 +4,10 @@ Configuration Macros - + - @@ -365,7 +364,9 @@
    -
    + + +
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/constants.html b/doc/html/math_toolkit/constants.html index e3b72df283..be6e72dfa4 100644 --- a/doc/html/math_toolkit/constants.html +++ b/doc/html/math_toolkit/constants.html @@ -4,11 +4,10 @@ The Mathematical Constants - + - @@ -1756,7 +1755,9 @@

    -
    PrevUpHomeNext diff --git a/doc/html/constants.html b/doc/html/constants.html index d606b0db59..6ebbbe5ad3 100644 --- a/doc/html/constants.html +++ b/doc/html/constants.html @@ -4,10 +4,11 @@ Chapter 4. Mathematical Constants - - + + + @@ -43,9 +44,7 @@ -
    - - -
    +
  • - + Math-4.1.1 (Boost-1.84)
    @@ -117,7 +145,7 @@
    - + Math-4.1.0 (Boost-1.82)
    @@ -195,7 +223,7 @@
    - + Math-4.0.0 (Boost-1.81)
    @@ -259,7 +287,7 @@
    - + Math-3.4.0 (Boost-1.80)
    @@ -287,7 +315,7 @@
    - + Math-3.3.0 (Boost-1.79)
    @@ -329,7 +357,7 @@
    - + Math-3.2.0 (Boost-1.78)
    @@ -366,7 +394,7 @@
    - + Math-3.1.0 (Boost-1.77)
    @@ -402,7 +430,7 @@
    - + Math-3.0.0 (Boost-1.76)
    @@ -453,7 +481,7 @@
    - + Math-2.13.0 (Boost-1.75)
    @@ -504,7 +532,7 @@
    - + Math-2.12.0 (Boost-1.73)
    @@ -546,7 +574,7 @@
    - + Math-2.11.0 (Boost-1.72)
    @@ -608,7 +636,7 @@
    - + Math-2.10.0 (Boost-1.71)
    @@ -642,7 +670,7 @@
    - + Math-2.9.0 (Boost-1.70)
    @@ -696,7 +724,7 @@
    - + Math-2.8.0 (Boost-1.69)
    @@ -753,7 +781,7 @@
    - + Math-2.7.1 (Boost-1.68)
    @@ -767,7 +795,7 @@
    - + Math-2.7.0 (Boost-1.66)
    @@ -784,7 +812,7 @@
    - + Math-2.6.0 (Boost-1.65)
    @@ -821,7 +849,7 @@
    - + Math-2.5.2 (Boost-1.64)
    @@ -838,7 +866,7 @@
    - + Math-2.5.1 (Boost-1.63)
    @@ -854,7 +882,7 @@
    - + Math-2.5.0 (Boost-1.62)
    @@ -879,7 +907,7 @@
    - + Math-2.4.0 (Boost-1.61)
    @@ -890,7 +918,7 @@
    Polynomial arithmetic added to tools.
    - + Math-2.3.0 (Boost-1.60)
    @@ -969,7 +997,7 @@
    - + Math-2.2.1

    @@ -988,7 +1016,7 @@

    - + Math-2.2.0 (boost-1.58.0)
    @@ -1032,7 +1060,7 @@
    - + Math-2.1.0 (boost-1.57.0)
    @@ -1058,7 +1086,7 @@
    - + Math-2.0.0 (Boost-1.56.0)
    @@ -1109,7 +1137,7 @@
    - + Math-1.9.1
      @@ -1124,7 +1152,7 @@
    - + Math-1.9.0
      @@ -1191,7 +1219,7 @@
    - + Boost-1.55
      @@ -1250,7 +1278,7 @@
      and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu

      - + Boost-1.54
      @@ -1304,7 +1332,7 @@
    - + Boost-1.53
      @@ -1339,7 +1367,7 @@
    - + Boost-1.52
      @@ -1386,14 +1414,14 @@
    - + Boost-1.51

    See Boost-1.52 - some items were added but not listed in time for the release.

    - + Boost-1.50
      @@ -1430,7 +1458,7 @@
    - + Boost-1.49
      @@ -1474,7 +1502,7 @@
    - + Boost-1.48
      @@ -1525,7 +1553,7 @@
    - + Boost-1.47
      @@ -1542,7 +1570,7 @@
    - + Boost-1.46.1
    • @@ -1550,7 +1578,7 @@
      #5113.
    - + Boost-1.46.0
      @@ -1565,7 +1593,7 @@
    - + Boost-1.45.0
      @@ -1582,7 +1610,7 @@
    - + Boost-1.44.0
      @@ -1596,7 +1624,7 @@
    - + Boost-1.41.0
    • @@ -1604,7 +1632,7 @@
      its inverse.
    - + Boost-1.40.0
      @@ -1640,7 +1668,7 @@
    - + Boost-1.38.0
      @@ -1652,14 +1680,14 @@
    - + Boost-1.37.0
    • Improved accuracy and testing of the inverse hypergeometric functions.
    - + Boost-1.36.0
      @@ -1692,7 +1720,7 @@
    - + Boost-1.35.0: Post Review First Official Release
    @@ -1724,7 +1752,7 @@
    - + Milestone 4: Second Review Candidate (1st March 2007)
    @@ -1738,7 +1766,7 @@
    - + Milestone 3: First Review Candidate (31st Dec 2006)
    @@ -1766,7 +1794,7 @@
    - + Milestone 2: Released September 10th 2006
    @@ -1802,7 +1830,7 @@
    - + Milestone 1: Released March 31st 2006
    diff --git a/doc/html/math_toolkit/history2.html b/doc/html/math_toolkit/history2.html index 4457184aa1..e91c823737 100644 --- a/doc/html/math_toolkit/history2.html +++ b/doc/html/math_toolkit/history2.html @@ -4,7 +4,7 @@ History and What's New - + @@ -39,6 +39,34 @@

    + Math-4.2.1 + (Boost-1.86) +
    +
      +
    • + Correct Bessel function results at infinity, see 1143. +
    • +
    • + Improve Non Central T numerical stability, see scipy20693. +
    • +
    • + Correct float_next/float_prior behaviour at infinity. +
    • +
    • + Prevent spurious underflow in non-central beta, see scipy20693. +
    • +
    • + Add improvement to Heuman Lambda precision. +
    • +
    • + Improve Skew Normal root finding, see 1120. +
    • +
    • + Lots of minor fixes and improved code coverage. +
    • +
    +
    + Math-4.2.0 (Boost-1.85)
    @@ -70,7 +98,7 @@
    - + Math-4.1.1 (Boost-1.84)
    @@ -117,7 +145,7 @@
    - + Math-4.1.0 (Boost-1.82)
    @@ -195,7 +223,7 @@
    - + Math-4.0.0 (Boost-1.81)
    @@ -259,7 +287,7 @@
    - + Math-3.4.0 (Boost-1.80)
    @@ -287,7 +315,7 @@
    - + Math-3.3.0 (Boost-1.79)
    @@ -329,7 +357,7 @@
    - + Math-3.2.0 (Boost-1.78)
    @@ -366,7 +394,7 @@
    - + Math-3.1.0 (Boost-1.77)
    @@ -402,7 +430,7 @@
    - + Math-3.0.0 (Boost-1.76)
    @@ -453,7 +481,7 @@
    - + Math-2.13.0 (Boost-1.75)
    @@ -504,7 +532,7 @@
    - + Math-2.12.0 (Boost-1.73)
    @@ -546,7 +574,7 @@
    - + Math-2.11.0 (Boost-1.72)
    @@ -608,7 +636,7 @@
    - + Math-2.10.0 (Boost-1.71)
    @@ -642,7 +670,7 @@
    - + Math-2.9.0 (Boost-1.70)
    @@ -696,7 +724,7 @@
    - + Math-2.8.0 (Boost-1.69)
    @@ -753,7 +781,7 @@
    - + Math-2.7.1 (Boost-1.68)
    @@ -767,7 +795,7 @@
    - + Math-2.7.0 (Boost-1.66)
    @@ -784,7 +812,7 @@
    - + Math-2.6.0 (Boost-1.65)
    @@ -821,7 +849,7 @@
    - + Math-2.5.2 (Boost-1.64)
    @@ -838,7 +866,7 @@
    - + Math-2.5.1 (Boost-1.63)
    @@ -854,7 +882,7 @@
    - + Math-2.5.0 (Boost-1.62)
    @@ -879,7 +907,7 @@
    - + Math-2.4.0 (Boost-1.61)
    @@ -890,7 +918,7 @@
    Polynomial arithmetic added to tools.
    - + Math-2.3.0 (Boost-1.60)
    @@ -969,7 +997,7 @@
    - + Math-2.2.1

    @@ -988,7 +1016,7 @@

    - + Math-2.2.0 (boost-1.58.0)
    @@ -1032,7 +1060,7 @@
    - + Math-2.1.0 (boost-1.57.0)
    @@ -1058,7 +1086,7 @@
    - + Math-2.0.0 (Boost-1.56.0)
    @@ -1109,7 +1137,7 @@
    - + Math-1.9.1
      @@ -1124,7 +1152,7 @@
    - + Math-1.9.0
      @@ -1191,7 +1219,7 @@
    - + Boost-1.55
      @@ -1250,7 +1278,7 @@
      and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu

      - + Boost-1.54
      @@ -1304,7 +1332,7 @@
    - + Boost-1.53
      @@ -1339,7 +1367,7 @@
    - + Boost-1.52
      @@ -1386,14 +1414,14 @@
    - + Boost-1.51

    See Boost-1.52 - some items were added but not listed in time for the release.

    - + Boost-1.50
      @@ -1430,7 +1458,7 @@
    - + Boost-1.49
      @@ -1474,7 +1502,7 @@
    - + Boost-1.48
      @@ -1525,7 +1553,7 @@
    - + Boost-1.47
      @@ -1542,7 +1570,7 @@
    - + Boost-1.46.1
    • @@ -1550,7 +1578,7 @@
      #5113.
    - + Boost-1.46.0
      @@ -1565,7 +1593,7 @@
    - + Boost-1.45.0
      @@ -1582,7 +1610,7 @@
    - + Boost-1.44.0
      @@ -1596,7 +1624,7 @@
    - + Boost-1.41.0
    • @@ -1604,7 +1632,7 @@
      its inverse.
    - + Boost-1.40.0
      @@ -1640,7 +1668,7 @@
    - + Boost-1.38.0
      @@ -1652,14 +1680,14 @@
    - + Boost-1.37.0
    • Improved accuracy and testing of the inverse hypergeometric functions.
    - + Boost-1.36.0
      @@ -1692,7 +1720,7 @@
    - + Boost-1.35.0: Post Review First Official Release
    @@ -1724,7 +1752,7 @@
    - + Milestone 4: Second Review Candidate (1st March 2007)
    @@ -1738,7 +1766,7 @@
    - + Milestone 3: First Review Candidate (31st Dec 2006)
    @@ -1766,7 +1794,7 @@
    - + Milestone 2: Released September 10th 2006
    @@ -1802,7 +1830,7 @@
    - + Milestone 1: Released March 31st 2006
    diff --git a/doc/html/math_toolkit/hypergeometric.html b/doc/html/math_toolkit/hypergeometric.html index 04a209d68c..74e8a2b75b 100644 --- a/doc/html/math_toolkit/hypergeometric.html +++ b/doc/html/math_toolkit/hypergeometric.html @@ -4,7 +4,7 @@ Hypergeometric Functions - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html index 921f076882..432dfa0fd6 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html @@ -4,7 +4,7 @@ Hypergeometric 0F1 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html index 53e5b01ab8..26c5761b13 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html @@ -4,7 +4,7 @@ Hypergeometric 1F0 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html index a7f1f26f62..fd8bc8cccd 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html @@ -4,7 +4,7 @@ Hypergeometric 1F1 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html index 3a7552fd02..ba2c4a9c11 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html @@ -4,7 +4,7 @@ Hypergeometric 2F0 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html index 1e415f184a..2fc2fdc245 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html @@ -4,7 +4,7 @@ Hypergeometric pFq - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html index 2a2dcffe39..7df5c309ad 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html @@ -4,7 +4,7 @@ Hypergeometric References - + diff --git a/doc/html/math_toolkit/internals.html b/doc/html/math_toolkit/internals.html index 2f09adf613..e49ea9df2f 100644 --- a/doc/html/math_toolkit/internals.html +++ b/doc/html/math_toolkit/internals.html @@ -4,7 +4,7 @@ Internal tools - + diff --git a/doc/html/math_toolkit/internals/agm.html b/doc/html/math_toolkit/internals/agm.html index 4894735545..eb08be2030 100644 --- a/doc/html/math_toolkit/internals/agm.html +++ b/doc/html/math_toolkit/internals/agm.html @@ -4,7 +4,7 @@ Arithmetic-Geometric Mean - + diff --git a/doc/html/math_toolkit/internals/centered_continued_fraction.html b/doc/html/math_toolkit/internals/centered_continued_fraction.html index f41ebed959..036a56b811 100644 --- a/doc/html/math_toolkit/internals/centered_continued_fraction.html +++ b/doc/html/math_toolkit/internals/centered_continued_fraction.html @@ -4,7 +4,7 @@ Centered Continued Fractions - + diff --git a/doc/html/math_toolkit/internals/cf.html b/doc/html/math_toolkit/internals/cf.html index 8add7a0d14..38d9655903 100644 --- a/doc/html/math_toolkit/internals/cf.html +++ b/doc/html/math_toolkit/internals/cf.html @@ -4,7 +4,7 @@ Continued Fraction Evaluation - + diff --git a/doc/html/math_toolkit/internals/cohen_acceleration.html b/doc/html/math_toolkit/internals/cohen_acceleration.html index e1fd2b67b7..df9e28f353 100644 --- a/doc/html/math_toolkit/internals/cohen_acceleration.html +++ b/doc/html/math_toolkit/internals/cohen_acceleration.html @@ -4,7 +4,7 @@ Cohen Acceleration - + diff --git a/doc/html/math_toolkit/internals/color_maps.html b/doc/html/math_toolkit/internals/color_maps.html index a1cc69ffe2..240ba42775 100644 --- a/doc/html/math_toolkit/internals/color_maps.html +++ b/doc/html/math_toolkit/internals/color_maps.html @@ -4,7 +4,7 @@ Color Maps - + diff --git a/doc/html/math_toolkit/internals/engel_expansion.html b/doc/html/math_toolkit/internals/engel_expansion.html index 7e641999b4..cf74a40d51 100644 --- a/doc/html/math_toolkit/internals/engel_expansion.html +++ b/doc/html/math_toolkit/internals/engel_expansion.html @@ -4,7 +4,7 @@ Engel Expansion - + diff --git a/doc/html/math_toolkit/internals/error_test.html b/doc/html/math_toolkit/internals/error_test.html index 6debef407b..b622ec1f89 100644 --- a/doc/html/math_toolkit/internals/error_test.html +++ b/doc/html/math_toolkit/internals/error_test.html @@ -4,7 +4,7 @@ Relative Error and Testing - + diff --git a/doc/html/math_toolkit/internals/luroth_expansion.html b/doc/html/math_toolkit/internals/luroth_expansion.html index d5304c83a2..8d88cb9574 100644 --- a/doc/html/math_toolkit/internals/luroth_expansion.html +++ b/doc/html/math_toolkit/internals/luroth_expansion.html @@ -4,7 +4,7 @@ Luroth Expansions - + diff --git a/doc/html/math_toolkit/internals/minimax.html b/doc/html/math_toolkit/internals/minimax.html index 8d780f03a5..949ea2ef85 100644 --- a/doc/html/math_toolkit/internals/minimax.html +++ b/doc/html/math_toolkit/internals/minimax.html @@ -4,7 +4,7 @@ Minimax Approximations and the Remez Algorithm - + diff --git a/doc/html/math_toolkit/internals/recurrence.html b/doc/html/math_toolkit/internals/recurrence.html index 69139bac7a..2cbde0402b 100644 --- a/doc/html/math_toolkit/internals/recurrence.html +++ b/doc/html/math_toolkit/internals/recurrence.html @@ -4,7 +4,7 @@ Tools For 3-Term Recurrence Relations - + diff --git a/doc/html/math_toolkit/internals/series_evaluation.html b/doc/html/math_toolkit/internals/series_evaluation.html index 778475a5a4..24f0196be9 100644 --- a/doc/html/math_toolkit/internals/series_evaluation.html +++ b/doc/html/math_toolkit/internals/series_evaluation.html @@ -4,7 +4,7 @@ Series Evaluation - + diff --git a/doc/html/math_toolkit/internals/simple_continued_fraction.html b/doc/html/math_toolkit/internals/simple_continued_fraction.html index 8885b45f65..af6834515a 100644 --- a/doc/html/math_toolkit/internals/simple_continued_fraction.html +++ b/doc/html/math_toolkit/internals/simple_continued_fraction.html @@ -4,7 +4,7 @@ Simple Continued Fractions - + diff --git a/doc/html/math_toolkit/internals/test_data.html b/doc/html/math_toolkit/internals/test_data.html index 7e4ea10771..5b893620be 100644 --- a/doc/html/math_toolkit/internals/test_data.html +++ b/doc/html/math_toolkit/internals/test_data.html @@ -4,7 +4,7 @@ Graphing, Profiling, and Generating Test Data for Special Functions - + diff --git a/doc/html/math_toolkit/internals/tuples.html b/doc/html/math_toolkit/internals/tuples.html index 0f41d8d7df..ac3578ee00 100644 --- a/doc/html/math_toolkit/internals/tuples.html +++ b/doc/html/math_toolkit/internals/tuples.html @@ -4,7 +4,7 @@ Tuples - + diff --git a/doc/html/math_toolkit/internals_overview.html b/doc/html/math_toolkit/internals_overview.html index eaa1ea4e44..2ab4751169 100644 --- a/doc/html/math_toolkit/internals_overview.html +++ b/doc/html/math_toolkit/internals_overview.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/interp.html b/doc/html/math_toolkit/interp.html index 9e765daffe..4b38b830e2 100644 --- a/doc/html/math_toolkit/interp.html +++ b/doc/html/math_toolkit/interp.html @@ -4,7 +4,7 @@ Interpreting these Results - + diff --git a/doc/html/math_toolkit/intro_pol_overview.html b/doc/html/math_toolkit/intro_pol_overview.html index 21beb39878..fa996551fc 100644 --- a/doc/html/math_toolkit/intro_pol_overview.html +++ b/doc/html/math_toolkit/intro_pol_overview.html @@ -4,7 +4,7 @@ Policies - + diff --git a/doc/html/math_toolkit/inv_hyper.html b/doc/html/math_toolkit/inv_hyper.html index 1f435e8d06..ad9c144e07 100644 --- a/doc/html/math_toolkit/inv_hyper.html +++ b/doc/html/math_toolkit/inv_hyper.html @@ -4,7 +4,7 @@ Inverse Hyperbolic Functions - + diff --git a/doc/html/math_toolkit/inv_hyper/acosh.html b/doc/html/math_toolkit/inv_hyper/acosh.html index 5cafab4ed5..3b6112fdb0 100644 --- a/doc/html/math_toolkit/inv_hyper/acosh.html +++ b/doc/html/math_toolkit/inv_hyper/acosh.html @@ -4,7 +4,7 @@ acosh - + diff --git a/doc/html/math_toolkit/inv_hyper/asinh.html b/doc/html/math_toolkit/inv_hyper/asinh.html index 1f9322ec4b..3fa19efe8e 100644 --- a/doc/html/math_toolkit/inv_hyper/asinh.html +++ b/doc/html/math_toolkit/inv_hyper/asinh.html @@ -4,7 +4,7 @@ asinh - + diff --git a/doc/html/math_toolkit/inv_hyper/atanh.html b/doc/html/math_toolkit/inv_hyper/atanh.html index e193ac16b2..740dada613 100644 --- a/doc/html/math_toolkit/inv_hyper/atanh.html +++ b/doc/html/math_toolkit/inv_hyper/atanh.html @@ -4,7 +4,7 @@ atanh - + diff --git a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html index 4cd499356a..8811dde4fb 100644 --- a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html +++ b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html @@ -4,7 +4,7 @@ Inverse Hyperbolic Functions Overview - + diff --git a/doc/html/math_toolkit/issues.html b/doc/html/math_toolkit/issues.html index 2a4efb4946..f2c62a3c63 100644 --- a/doc/html/math_toolkit/issues.html +++ b/doc/html/math_toolkit/issues.html @@ -4,7 +4,7 @@ Known Issues, and TODO List - + diff --git a/doc/html/math_toolkit/jacobi.html b/doc/html/math_toolkit/jacobi.html index 38d67eb7d4..24ce7b425a 100644 --- a/doc/html/math_toolkit/jacobi.html +++ b/doc/html/math_toolkit/jacobi.html @@ -4,7 +4,7 @@ Jacobi Elliptic Functions - + diff --git a/doc/html/math_toolkit/jacobi/jac_over.html b/doc/html/math_toolkit/jacobi/jac_over.html index da8482983f..29d0ad2ea3 100644 --- a/doc/html/math_toolkit/jacobi/jac_over.html +++ b/doc/html/math_toolkit/jacobi/jac_over.html @@ -4,7 +4,7 @@ Overview of the Jacobi Elliptic Functions - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cd.html b/doc/html/math_toolkit/jacobi/jacobi_cd.html index b965c51e4c..f04b899f25 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cd.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function cd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cn.html b/doc/html/math_toolkit/jacobi/jacobi_cn.html index f4ac81d0ef..e65cbe29c6 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cn.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function cn - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cs.html b/doc/html/math_toolkit/jacobi/jacobi_cs.html index 65d823ad08..b6d4500be5 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cs.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cs.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function cs - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_dc.html b/doc/html/math_toolkit/jacobi/jacobi_dc.html index 49220109f7..a2add0ca3d 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dc.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function dc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_dn.html b/doc/html/math_toolkit/jacobi/jacobi_dn.html index 67a49b318e..8f62efd77f 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dn.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function dn - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_ds.html b/doc/html/math_toolkit/jacobi/jacobi_ds.html index cfe1bfb296..322255d1bf 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ds.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ds.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function ds - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html index 6baed4cb00..9a2c1faed3 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html +++ b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html @@ -4,7 +4,7 @@ Jacobi Elliptic SN, CN and DN - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_nc.html b/doc/html/math_toolkit/jacobi/jacobi_nc.html index 46d6528ced..4410b42af9 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nc.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function nc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_nd.html b/doc/html/math_toolkit/jacobi/jacobi_nd.html index 49d6875454..ca9c4034c9 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nd.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function nd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_ns.html b/doc/html/math_toolkit/jacobi/jacobi_ns.html index f0ddb6e29f..627715fb19 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ns.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ns.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function ns - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sc.html b/doc/html/math_toolkit/jacobi/jacobi_sc.html index 0f418f30e4..e4fd594646 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sc.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function sc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sd.html b/doc/html/math_toolkit/jacobi/jacobi_sd.html index f8fb4c6c35..787328015e 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sd.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function sd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sn.html b/doc/html/math_toolkit/jacobi/jacobi_sn.html index f1ab120d84..b8f417be3a 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sn.html @@ -4,7 +4,7 @@ Jacobi Elliptic Function sn - + diff --git a/doc/html/math_toolkit/jacobi_theta.html b/doc/html/math_toolkit/jacobi_theta.html index 5704ece6c3..a1cece63ad 100644 --- a/doc/html/math_toolkit/jacobi_theta.html +++ b/doc/html/math_toolkit/jacobi_theta.html @@ -4,7 +4,7 @@ Jacobi Theta Functions - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html index bd5a8d3faf..8043b6f25e 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html @@ -4,7 +4,7 @@ Jacobi Theta Function θ1 - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html index 75de2b3a28..5aae8ceeb0 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html @@ -4,7 +4,7 @@ Jacobi Theta Function θ2 - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html index 623206dcbf..1aaab7be9b 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html @@ -4,7 +4,7 @@ Jacobi Theta Function θ3 - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html index 0a3f16c771..fb99431dac 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html @@ -4,7 +4,7 @@ Jacobi Theta Function θ4 - + diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html index 0a72aa237e..e1a5601873 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html @@ -4,7 +4,7 @@ Overview of the Jacobi Theta Functions - + diff --git a/doc/html/math_toolkit/jso.html b/doc/html/math_toolkit/jso.html index 308ad1849a..8e0cc038c2 100644 --- a/doc/html/math_toolkit/jso.html +++ b/doc/html/math_toolkit/jso.html @@ -4,7 +4,7 @@ Algorithm jSO - + diff --git a/doc/html/math_toolkit/lambert_w.html b/doc/html/math_toolkit/lambert_w.html index e117f3d635..dba2238c66 100644 --- a/doc/html/math_toolkit/lambert_w.html +++ b/doc/html/math_toolkit/lambert_w.html @@ -4,7 +4,7 @@ Lambert W function - + diff --git a/doc/html/math_toolkit/lanczos.html b/doc/html/math_toolkit/lanczos.html index 145ffaad2e..7d59785da6 100644 --- a/doc/html/math_toolkit/lanczos.html +++ b/doc/html/math_toolkit/lanczos.html @@ -4,7 +4,7 @@ The Lanczos Approximation - + diff --git a/doc/html/math_toolkit/linear_regression.html b/doc/html/math_toolkit/linear_regression.html index e7c9624f71..bed68e01cf 100644 --- a/doc/html/math_toolkit/linear_regression.html +++ b/doc/html/math_toolkit/linear_regression.html @@ -4,7 +4,7 @@ Linear Regression - + diff --git a/doc/html/math_toolkit/ljung_box.html b/doc/html/math_toolkit/ljung_box.html index 526110a6c5..7d4040d0b9 100644 --- a/doc/html/math_toolkit/ljung_box.html +++ b/doc/html/math_toolkit/ljung_box.html @@ -4,7 +4,7 @@ The Ljung-Box Test - + diff --git a/doc/html/math_toolkit/logs_and_tables.html b/doc/html/math_toolkit/logs_and_tables.html index f6dac75125..67878a8c7a 100644 --- a/doc/html/math_toolkit/logs_and_tables.html +++ b/doc/html/math_toolkit/logs_and_tables.html @@ -4,7 +4,7 @@ Error logs and tables - + diff --git a/doc/html/math_toolkit/logs_and_tables/all_table.html b/doc/html/math_toolkit/logs_and_tables/all_table.html index 76019e5a09..fcd6fd1f82 100644 --- a/doc/html/math_toolkit/logs_and_tables/all_table.html +++ b/doc/html/math_toolkit/logs_and_tables/all_table.html @@ -4,7 +4,7 @@ Tables of Error Rates for all Functions - + diff --git a/doc/html/math_toolkit/logs_and_tables/logs.html b/doc/html/math_toolkit/logs_and_tables/logs.html index 39b436c693..a7a768b862 100644 --- a/doc/html/math_toolkit/logs_and_tables/logs.html +++ b/doc/html/math_toolkit/logs_and_tables/logs.html @@ -4,7 +4,7 @@ Error Logs For Error Rate Tables - + diff --git a/doc/html/math_toolkit/macros.html b/doc/html/math_toolkit/macros.html index 86954f5814..20aa6a6de5 100644 --- a/doc/html/math_toolkit/macros.html +++ b/doc/html/math_toolkit/macros.html @@ -4,7 +4,7 @@ Floating-Point Constant Macros - + diff --git a/doc/html/math_toolkit/main_faq.html b/doc/html/math_toolkit/main_faq.html index 5b9ac3685b..ba09069cf0 100644 --- a/doc/html/math_toolkit/main_faq.html +++ b/doc/html/math_toolkit/main_faq.html @@ -4,7 +4,7 @@ Boost.Math Frequently Asked Questions (FAQs) - + diff --git a/doc/html/math_toolkit/main_intro.html b/doc/html/math_toolkit/main_intro.html index c8618d5480..6248b1712b 100644 --- a/doc/html/math_toolkit/main_intro.html +++ b/doc/html/math_toolkit/main_intro.html @@ -4,7 +4,7 @@ About the Math Toolkit - + diff --git a/doc/html/math_toolkit/main_tr1.html b/doc/html/math_toolkit/main_tr1.html index a208a35e43..bdf7cb6bd4 100644 --- a/doc/html/math_toolkit/main_tr1.html +++ b/doc/html/math_toolkit/main_tr1.html @@ -4,7 +4,7 @@ C99 and TR1 C Functions Overview - + diff --git a/doc/html/math_toolkit/makima.html b/doc/html/math_toolkit/makima.html index 2f5a31eacc..2c147bcc19 100644 --- a/doc/html/math_toolkit/makima.html +++ b/doc/html/math_toolkit/makima.html @@ -4,7 +4,7 @@ Modified Akima interpolation - + diff --git a/doc/html/math_toolkit/mem_typedef.html b/doc/html/math_toolkit/mem_typedef.html index d8edeef8a5..417ef86786 100644 --- a/doc/html/math_toolkit/mem_typedef.html +++ b/doc/html/math_toolkit/mem_typedef.html @@ -4,7 +4,7 @@ Quaternion Member Typedefs - + diff --git a/doc/html/math_toolkit/minimum_typdefs.html b/doc/html/math_toolkit/minimum_typdefs.html index 3147157702..cfe2d97a30 100644 --- a/doc/html/math_toolkit/minimum_typdefs.html +++ b/doc/html/math_toolkit/minimum_typdefs.html @@ -4,7 +4,7 @@ Minimum-width floating-point typedefs - + diff --git a/doc/html/math_toolkit/multiprecision.html b/doc/html/math_toolkit/multiprecision.html index 749055e6c9..4a1598a130 100644 --- a/doc/html/math_toolkit/multiprecision.html +++ b/doc/html/math_toolkit/multiprecision.html @@ -4,7 +4,7 @@ Cost of High-Precision Non-built-in Floating-point - + diff --git a/doc/html/math_toolkit/naive_monte_carlo.html b/doc/html/math_toolkit/naive_monte_carlo.html index c9e7534211..4b1856b298 100644 --- a/doc/html/math_toolkit/naive_monte_carlo.html +++ b/doc/html/math_toolkit/naive_monte_carlo.html @@ -4,7 +4,7 @@ Naive Monte Carlo Integration - + diff --git a/doc/html/math_toolkit/namespaces.html b/doc/html/math_toolkit/namespaces.html index c8d830112c..000cdf2ca2 100644 --- a/doc/html/math_toolkit/namespaces.html +++ b/doc/html/math_toolkit/namespaces.html @@ -4,7 +4,7 @@ Namespaces - + diff --git a/doc/html/math_toolkit/navigation.html b/doc/html/math_toolkit/navigation.html index bef5d6aabb..ce4c419a1d 100644 --- a/doc/html/math_toolkit/navigation.html +++ b/doc/html/math_toolkit/navigation.html @@ -4,7 +4,7 @@ Navigation - + @@ -28,7 +28,7 @@ Navigation

    - +

    Boost.Math documentation is provided in both HTML and PDF formats. diff --git a/doc/html/math_toolkit/new_const.html b/doc/html/math_toolkit/new_const.html index a4c4154ec2..868e3bcb6c 100644 --- a/doc/html/math_toolkit/new_const.html +++ b/doc/html/math_toolkit/new_const.html @@ -4,7 +4,7 @@ Defining New Constants - + diff --git a/doc/html/math_toolkit/next_float.html b/doc/html/math_toolkit/next_float.html index 0fcabb032a..31a2fc5619 100644 --- a/doc/html/math_toolkit/next_float.html +++ b/doc/html/math_toolkit/next_float.html @@ -4,7 +4,7 @@ Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values - + diff --git a/doc/html/math_toolkit/next_float/float_advance.html b/doc/html/math_toolkit/next_float/float_advance.html index 988a035031..d7db8b931a 100644 --- a/doc/html/math_toolkit/next_float/float_advance.html +++ b/doc/html/math_toolkit/next_float/float_advance.html @@ -4,7 +4,7 @@ Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance - + diff --git a/doc/html/math_toolkit/next_float/float_distance.html b/doc/html/math_toolkit/next_float/float_distance.html index 6febb7132e..ea794357cc 100644 --- a/doc/html/math_toolkit/next_float/float_distance.html +++ b/doc/html/math_toolkit/next_float/float_distance.html @@ -4,7 +4,7 @@ Calculating the Representation Distance Between Two floating-point Values (ULP) float_distance - + diff --git a/doc/html/math_toolkit/next_float/float_next.html b/doc/html/math_toolkit/next_float/float_next.html index 879168ea20..13b6f9c604 100644 --- a/doc/html/math_toolkit/next_float/float_next.html +++ b/doc/html/math_toolkit/next_float/float_next.html @@ -4,7 +4,7 @@ Finding the Next Greater Representable Value (float_next) - + diff --git a/doc/html/math_toolkit/next_float/float_prior.html b/doc/html/math_toolkit/next_float/float_prior.html index 8cc3815d8c..f78c965cc0 100644 --- a/doc/html/math_toolkit/next_float/float_prior.html +++ b/doc/html/math_toolkit/next_float/float_prior.html @@ -4,7 +4,7 @@ Finding the Next Smaller Representable Value (float_prior) - + diff --git a/doc/html/math_toolkit/next_float/nextafter.html b/doc/html/math_toolkit/next_float/nextafter.html index cc4b5754b6..282e5de846 100644 --- a/doc/html/math_toolkit/next_float/nextafter.html +++ b/doc/html/math_toolkit/next_float/nextafter.html @@ -4,7 +4,7 @@ Finding the Next Representable Value in a Specific Direction (nextafter) - + diff --git a/doc/html/math_toolkit/next_float/ulp.html b/doc/html/math_toolkit/next_float/ulp.html index da471516ae..d05e76e9b9 100644 --- a/doc/html/math_toolkit/next_float/ulp.html +++ b/doc/html/math_toolkit/next_float/ulp.html @@ -4,7 +4,7 @@ Obtaining the Size of a Unit In the Last Place - ULP - + diff --git a/doc/html/math_toolkit/norms.html b/doc/html/math_toolkit/norms.html index 8242951488..7f148db217 100644 --- a/doc/html/math_toolkit/norms.html +++ b/doc/html/math_toolkit/norms.html @@ -4,7 +4,7 @@ Norms - + diff --git a/doc/html/math_toolkit/number_series.html b/doc/html/math_toolkit/number_series.html index 816468ce8f..f6862de61f 100644 --- a/doc/html/math_toolkit/number_series.html +++ b/doc/html/math_toolkit/number_series.html @@ -4,7 +4,7 @@ Number Series - + diff --git a/doc/html/math_toolkit/number_series/bernoulli_numbers.html b/doc/html/math_toolkit/number_series/bernoulli_numbers.html index 509277a424..81f6900ab5 100644 --- a/doc/html/math_toolkit/number_series/bernoulli_numbers.html +++ b/doc/html/math_toolkit/number_series/bernoulli_numbers.html @@ -4,7 +4,7 @@ Bernoulli Numbers - + diff --git a/doc/html/math_toolkit/number_series/fibonacci_numbers.html b/doc/html/math_toolkit/number_series/fibonacci_numbers.html index 744ead5f18..518eb90e1d 100644 --- a/doc/html/math_toolkit/number_series/fibonacci_numbers.html +++ b/doc/html/math_toolkit/number_series/fibonacci_numbers.html @@ -4,7 +4,7 @@ Fibonacci Numbers - + diff --git a/doc/html/math_toolkit/number_series/primes.html b/doc/html/math_toolkit/number_series/primes.html index 7b50f714c4..060a2bd38b 100644 --- a/doc/html/math_toolkit/number_series/primes.html +++ b/doc/html/math_toolkit/number_series/primes.html @@ -4,7 +4,7 @@ Prime Numbers - + diff --git a/doc/html/math_toolkit/number_series/tangent_numbers.html b/doc/html/math_toolkit/number_series/tangent_numbers.html index 5e3cebba1b..92872bee58 100644 --- a/doc/html/math_toolkit/number_series/tangent_numbers.html +++ b/doc/html/math_toolkit/number_series/tangent_numbers.html @@ -4,7 +4,7 @@ Tangent Numbers - + diff --git a/doc/html/math_toolkit/oct_create.html b/doc/html/math_toolkit/oct_create.html index 253013b454..b27488e7cd 100644 --- a/doc/html/math_toolkit/oct_create.html +++ b/doc/html/math_toolkit/oct_create.html @@ -4,7 +4,7 @@ Octonion Creation Functions - + diff --git a/doc/html/math_toolkit/oct_header.html b/doc/html/math_toolkit/oct_header.html index 4466371941..d943454009 100644 --- a/doc/html/math_toolkit/oct_header.html +++ b/doc/html/math_toolkit/oct_header.html @@ -4,7 +4,7 @@ Header File - + diff --git a/doc/html/math_toolkit/oct_history.html b/doc/html/math_toolkit/oct_history.html index 036d296e9f..cf31768a3a 100644 --- a/doc/html/math_toolkit/oct_history.html +++ b/doc/html/math_toolkit/oct_history.html @@ -4,7 +4,7 @@ History - + diff --git a/doc/html/math_toolkit/oct_mem_fun.html b/doc/html/math_toolkit/oct_mem_fun.html index 4dcb282d14..c269d1ff1a 100644 --- a/doc/html/math_toolkit/oct_mem_fun.html +++ b/doc/html/math_toolkit/oct_mem_fun.html @@ -4,7 +4,7 @@ Octonion Member Functions - + diff --git a/doc/html/math_toolkit/oct_non_mem.html b/doc/html/math_toolkit/oct_non_mem.html index d2cc6830e8..80c727e211 100644 --- a/doc/html/math_toolkit/oct_non_mem.html +++ b/doc/html/math_toolkit/oct_non_mem.html @@ -4,7 +4,7 @@ Octonion Non-Member Operators - + diff --git a/doc/html/math_toolkit/oct_overview.html b/doc/html/math_toolkit/oct_overview.html index b9cc81fa2e..48a8ecfd71 100644 --- a/doc/html/math_toolkit/oct_overview.html +++ b/doc/html/math_toolkit/oct_overview.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/oct_specialization.html b/doc/html/math_toolkit/oct_specialization.html index ee87e51219..ba45f49849 100644 --- a/doc/html/math_toolkit/oct_specialization.html +++ b/doc/html/math_toolkit/oct_specialization.html @@ -4,7 +4,7 @@ Octonion Specializations - + diff --git a/doc/html/math_toolkit/oct_synopsis.html b/doc/html/math_toolkit/oct_synopsis.html index 6b05374d33..3561c1c484 100644 --- a/doc/html/math_toolkit/oct_synopsis.html +++ b/doc/html/math_toolkit/oct_synopsis.html @@ -4,7 +4,7 @@ Synopsis - + diff --git a/doc/html/math_toolkit/oct_tests.html b/doc/html/math_toolkit/oct_tests.html index ab0314b636..bd2209a678 100644 --- a/doc/html/math_toolkit/oct_tests.html +++ b/doc/html/math_toolkit/oct_tests.html @@ -4,7 +4,7 @@ Test Program - + diff --git a/doc/html/math_toolkit/oct_todo.html b/doc/html/math_toolkit/oct_todo.html index c164c69ca0..f83fd64df4 100644 --- a/doc/html/math_toolkit/oct_todo.html +++ b/doc/html/math_toolkit/oct_todo.html @@ -4,7 +4,7 @@ To Do - + diff --git a/doc/html/math_toolkit/oct_trans.html b/doc/html/math_toolkit/oct_trans.html index 5b23b40909..4ddbf83eab 100644 --- a/doc/html/math_toolkit/oct_trans.html +++ b/doc/html/math_toolkit/oct_trans.html @@ -4,7 +4,7 @@ Octonions Transcendentals - + diff --git a/doc/html/math_toolkit/oct_typedefs.html b/doc/html/math_toolkit/oct_typedefs.html index dfffa77df1..f09e24d5aa 100644 --- a/doc/html/math_toolkit/oct_typedefs.html +++ b/doc/html/math_toolkit/oct_typedefs.html @@ -4,7 +4,7 @@ Octonion Member Typedefs - + diff --git a/doc/html/math_toolkit/oct_value_ops.html b/doc/html/math_toolkit/oct_value_ops.html index c9c96a72fa..fd1de4f4e5 100644 --- a/doc/html/math_toolkit/oct_value_ops.html +++ b/doc/html/math_toolkit/oct_value_ops.html @@ -4,7 +4,7 @@ Octonion Value Operations - + diff --git a/doc/html/math_toolkit/octonion.html b/doc/html/math_toolkit/octonion.html index 4101f4a4f7..e40d03a3e8 100644 --- a/doc/html/math_toolkit/octonion.html +++ b/doc/html/math_toolkit/octonion.html @@ -4,7 +4,7 @@ Template Class octonion - + diff --git a/doc/html/math_toolkit/overview_tr1.html b/doc/html/math_toolkit/overview_tr1.html index 7591b5748c..e462e7f5ba 100644 --- a/doc/html/math_toolkit/overview_tr1.html +++ b/doc/html/math_toolkit/overview_tr1.html @@ -4,7 +4,7 @@ C99 and C++ TR1 C-style Functions - + diff --git a/doc/html/math_toolkit/owens_t.html b/doc/html/math_toolkit/owens_t.html index 248ec6dcda..9c38592428 100644 --- a/doc/html/math_toolkit/owens_t.html +++ b/doc/html/math_toolkit/owens_t.html @@ -4,7 +4,7 @@ Owen's T function - + diff --git a/doc/html/math_toolkit/pchip.html b/doc/html/math_toolkit/pchip.html index 4ab512917c..727afb510e 100644 --- a/doc/html/math_toolkit/pchip.html +++ b/doc/html/math_toolkit/pchip.html @@ -4,7 +4,7 @@ PCHIP interpolation - + diff --git a/doc/html/math_toolkit/perf_over1.html b/doc/html/math_toolkit/perf_over1.html index 1bd91467d1..76bc4cd8f1 100644 --- a/doc/html/math_toolkit/perf_over1.html +++ b/doc/html/math_toolkit/perf_over1.html @@ -4,7 +4,7 @@ Performance - + diff --git a/doc/html/math_toolkit/perf_over2.html b/doc/html/math_toolkit/perf_over2.html index b564e8b6a3..ed0b43391b 100644 --- a/doc/html/math_toolkit/perf_over2.html +++ b/doc/html/math_toolkit/perf_over2.html @@ -4,7 +4,7 @@ Performance Overview - + diff --git a/doc/html/math_toolkit/perf_test_app.html b/doc/html/math_toolkit/perf_test_app.html index 31b3c21fae..2e5f2675e3 100644 --- a/doc/html/math_toolkit/perf_test_app.html +++ b/doc/html/math_toolkit/perf_test_app.html @@ -4,7 +4,7 @@ The Performance Test Applications - + diff --git a/doc/html/math_toolkit/pol_overview.html b/doc/html/math_toolkit/pol_overview.html index 5cf9f4d5ed..02fa9dac49 100644 --- a/doc/html/math_toolkit/pol_overview.html +++ b/doc/html/math_toolkit/pol_overview.html @@ -4,7 +4,7 @@ Policy Overview - + diff --git a/doc/html/math_toolkit/pol_ref.html b/doc/html/math_toolkit/pol_ref.html index 50d099fae2..dc9be5cfbc 100644 --- a/doc/html/math_toolkit/pol_ref.html +++ b/doc/html/math_toolkit/pol_ref.html @@ -4,7 +4,7 @@ Policy Reference - + diff --git a/doc/html/math_toolkit/pol_ref/assert_undefined.html b/doc/html/math_toolkit/pol_ref/assert_undefined.html index f826a34364..b2f804f4a0 100644 --- a/doc/html/math_toolkit/pol_ref/assert_undefined.html +++ b/doc/html/math_toolkit/pol_ref/assert_undefined.html @@ -4,7 +4,7 @@ Mathematically Undefined Function Policies - + diff --git a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html index f308a5e835..cd312d0d90 100644 --- a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html +++ b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html @@ -4,7 +4,7 @@ Discrete Quantile Policies - + diff --git a/doc/html/math_toolkit/pol_ref/error_handling_policies.html b/doc/html/math_toolkit/pol_ref/error_handling_policies.html index b56c83deb5..bae066d44c 100644 --- a/doc/html/math_toolkit/pol_ref/error_handling_policies.html +++ b/doc/html/math_toolkit/pol_ref/error_handling_policies.html @@ -4,7 +4,7 @@ Error Handling Policies - + diff --git a/doc/html/math_toolkit/pol_ref/internal_promotion.html b/doc/html/math_toolkit/pol_ref/internal_promotion.html index e57752e52f..1f1a4fc244 100644 --- a/doc/html/math_toolkit/pol_ref/internal_promotion.html +++ b/doc/html/math_toolkit/pol_ref/internal_promotion.html @@ -4,7 +4,7 @@ Internal Floating-point Promotion Policies - + diff --git a/doc/html/math_toolkit/pol_ref/iteration_pol.html b/doc/html/math_toolkit/pol_ref/iteration_pol.html index 62b42c127a..f6e0305b9f 100644 --- a/doc/html/math_toolkit/pol_ref/iteration_pol.html +++ b/doc/html/math_toolkit/pol_ref/iteration_pol.html @@ -4,7 +4,7 @@ Iteration Limits Policies - + diff --git a/doc/html/math_toolkit/pol_ref/namespace_pol.html b/doc/html/math_toolkit/pol_ref/namespace_pol.html index 3162d45bd0..f194b25607 100644 --- a/doc/html/math_toolkit/pol_ref/namespace_pol.html +++ b/doc/html/math_toolkit/pol_ref/namespace_pol.html @@ -4,7 +4,7 @@ Setting Polices at Namespace Scope - + diff --git a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html index e7eaa35cb2..f9aad696ed 100644 --- a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html +++ b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html @@ -4,7 +4,7 @@ Policy Class Reference - + diff --git a/doc/html/math_toolkit/pol_ref/policy_defaults.html b/doc/html/math_toolkit/pol_ref/policy_defaults.html index ebc207b3be..eeb506ab00 100644 --- a/doc/html/math_toolkit/pol_ref/policy_defaults.html +++ b/doc/html/math_toolkit/pol_ref/policy_defaults.html @@ -4,7 +4,7 @@ Using Macros to Change the Policy Defaults - + diff --git a/doc/html/math_toolkit/pol_ref/precision_pol.html b/doc/html/math_toolkit/pol_ref/precision_pol.html index f2a1e5d936..cf6cd0c193 100644 --- a/doc/html/math_toolkit/pol_ref/precision_pol.html +++ b/doc/html/math_toolkit/pol_ref/precision_pol.html @@ -4,7 +4,7 @@ Precision Policies - + diff --git a/doc/html/math_toolkit/pol_tutorial.html b/doc/html/math_toolkit/pol_tutorial.html index 6e668d471b..5fa1936a3a 100644 --- a/doc/html/math_toolkit/pol_tutorial.html +++ b/doc/html/math_toolkit/pol_tutorial.html @@ -4,7 +4,7 @@ Policy Tutorial - + diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html index fa6fd45c58..4d82db7553 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html @@ -4,7 +4,7 @@ Setting Policies for Distributions on an Ad Hoc Basis - + diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html index dc4f752d9d..f33c278644 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html @@ -4,7 +4,7 @@ Changing the Policy on an Ad Hoc Basis for the Special Functions - + diff --git a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html index 449a878693..608b8d5e83 100644 --- a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html @@ -4,7 +4,7 @@ Changing the Policy Defaults - + diff --git a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html index bf89d7c9a6..91a570fdab 100644 --- a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html @@ -4,7 +4,7 @@ Setting Policies at Namespace or Translation Unit Scope - + diff --git a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html index 68d11b38c6..30f2369262 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html @@ -4,7 +4,7 @@ Policies Have Sensible Defaults - + diff --git a/doc/html/math_toolkit/pol_tutorial/policy_usage.html b/doc/html/math_toolkit/pol_tutorial/policy_usage.html index 7909a38d20..a970d06878 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_usage.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_usage.html @@ -4,7 +4,7 @@ So How are Policies Used Anyway? - + diff --git a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html index 9eaff78f5f..90867e22ed 100644 --- a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html +++ b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html @@ -4,7 +4,7 @@ Understanding Quantiles of Discrete Distributions - + diff --git a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html index c22e59c923..b0b82167e3 100644 --- a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html +++ b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html @@ -4,7 +4,7 @@ Calling User Defined Error Handlers - + diff --git a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html index 123d1d7eff..338d6469d9 100644 --- a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html +++ b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html @@ -4,7 +4,7 @@ So Just What is a Policy Anyway? - + diff --git a/doc/html/math_toolkit/polynomials.html b/doc/html/math_toolkit/polynomials.html index edfa2e64dc..fab79b6baf 100644 --- a/doc/html/math_toolkit/polynomials.html +++ b/doc/html/math_toolkit/polynomials.html @@ -4,7 +4,7 @@ Polynomials - + diff --git a/doc/html/math_toolkit/powers.html b/doc/html/math_toolkit/powers.html index ad3f182ed7..de2ec36367 100644 --- a/doc/html/math_toolkit/powers.html +++ b/doc/html/math_toolkit/powers.html @@ -4,7 +4,7 @@ Basic Functions - + diff --git a/doc/html/math_toolkit/powers/cbrt.html b/doc/html/math_toolkit/powers/cbrt.html index 2863c6cab5..6f0f0aef8b 100644 --- a/doc/html/math_toolkit/powers/cbrt.html +++ b/doc/html/math_toolkit/powers/cbrt.html @@ -4,7 +4,7 @@ cbrt - + diff --git a/doc/html/math_toolkit/powers/cos_pi.html b/doc/html/math_toolkit/powers/cos_pi.html index 7346023be5..3e1d33e328 100644 --- a/doc/html/math_toolkit/powers/cos_pi.html +++ b/doc/html/math_toolkit/powers/cos_pi.html @@ -4,7 +4,7 @@ cos_pi - + diff --git a/doc/html/math_toolkit/powers/ct_pow.html b/doc/html/math_toolkit/powers/ct_pow.html index 41cee3567b..ec6bb6e3a6 100644 --- a/doc/html/math_toolkit/powers/ct_pow.html +++ b/doc/html/math_toolkit/powers/ct_pow.html @@ -4,7 +4,7 @@ Compile Time Power of a Runtime Base - + diff --git a/doc/html/math_toolkit/powers/expm1.html b/doc/html/math_toolkit/powers/expm1.html index 4048db6320..81e0e3649f 100644 --- a/doc/html/math_toolkit/powers/expm1.html +++ b/doc/html/math_toolkit/powers/expm1.html @@ -4,7 +4,7 @@ expm1 - + diff --git a/doc/html/math_toolkit/powers/hypot.html b/doc/html/math_toolkit/powers/hypot.html index fae3b0b6cc..00c6ec88c3 100644 --- a/doc/html/math_toolkit/powers/hypot.html +++ b/doc/html/math_toolkit/powers/hypot.html @@ -4,7 +4,7 @@ hypot - + diff --git a/doc/html/math_toolkit/powers/log1p.html b/doc/html/math_toolkit/powers/log1p.html index 1058e11c4a..9894c3fd72 100644 --- a/doc/html/math_toolkit/powers/log1p.html +++ b/doc/html/math_toolkit/powers/log1p.html @@ -4,7 +4,7 @@ log1p - + diff --git a/doc/html/math_toolkit/powers/logaddexp.html b/doc/html/math_toolkit/powers/logaddexp.html index 138ffe6893..e0d5d989fb 100644 --- a/doc/html/math_toolkit/powers/logaddexp.html +++ b/doc/html/math_toolkit/powers/logaddexp.html @@ -4,7 +4,7 @@ logaddexp and logsumexp - + diff --git a/doc/html/math_toolkit/powers/powm1.html b/doc/html/math_toolkit/powers/powm1.html index 20e049b1f8..a1fca99ed9 100644 --- a/doc/html/math_toolkit/powers/powm1.html +++ b/doc/html/math_toolkit/powers/powm1.html @@ -4,7 +4,7 @@ powm1 - + diff --git a/doc/html/math_toolkit/powers/rsqrt.html b/doc/html/math_toolkit/powers/rsqrt.html index dc2855c5d1..bd60816563 100644 --- a/doc/html/math_toolkit/powers/rsqrt.html +++ b/doc/html/math_toolkit/powers/rsqrt.html @@ -4,7 +4,7 @@ Reciprocal square root - + diff --git a/doc/html/math_toolkit/powers/sin_pi.html b/doc/html/math_toolkit/powers/sin_pi.html index a066669709..c362a9331a 100644 --- a/doc/html/math_toolkit/powers/sin_pi.html +++ b/doc/html/math_toolkit/powers/sin_pi.html @@ -4,7 +4,7 @@ sin_pi - + diff --git a/doc/html/math_toolkit/powers/sqrt1pm1.html b/doc/html/math_toolkit/powers/sqrt1pm1.html index 4bdb56e7e7..3eba5d089f 100644 --- a/doc/html/math_toolkit/powers/sqrt1pm1.html +++ b/doc/html/math_toolkit/powers/sqrt1pm1.html @@ -4,7 +4,7 @@ sqrt1pm1 - + diff --git a/doc/html/math_toolkit/quartic_roots.html b/doc/html/math_toolkit/quartic_roots.html index f853857a21..41b2cbc48d 100644 --- a/doc/html/math_toolkit/quartic_roots.html +++ b/doc/html/math_toolkit/quartic_roots.html @@ -4,7 +4,7 @@ Roots of Quartic Polynomials - + diff --git a/doc/html/math_toolkit/quat.html b/doc/html/math_toolkit/quat.html index 46538da82f..0e09d5efef 100644 --- a/doc/html/math_toolkit/quat.html +++ b/doc/html/math_toolkit/quat.html @@ -4,7 +4,7 @@ Template Class quaternion - + diff --git a/doc/html/math_toolkit/quat_header.html b/doc/html/math_toolkit/quat_header.html index b032d61768..1cf29bde83 100644 --- a/doc/html/math_toolkit/quat_header.html +++ b/doc/html/math_toolkit/quat_header.html @@ -4,7 +4,7 @@ Header File - + diff --git a/doc/html/math_toolkit/quat_history.html b/doc/html/math_toolkit/quat_history.html index 72c7222d0c..dca6835c16 100644 --- a/doc/html/math_toolkit/quat_history.html +++ b/doc/html/math_toolkit/quat_history.html @@ -4,7 +4,7 @@ History - + diff --git a/doc/html/math_toolkit/quat_mem_fun.html b/doc/html/math_toolkit/quat_mem_fun.html index 5328353842..f8fe80d4e2 100644 --- a/doc/html/math_toolkit/quat_mem_fun.html +++ b/doc/html/math_toolkit/quat_mem_fun.html @@ -4,7 +4,7 @@ Quaternion Member Functions - + diff --git a/doc/html/math_toolkit/quat_non_mem.html b/doc/html/math_toolkit/quat_non_mem.html index 47d9882e4d..347edfdfe9 100644 --- a/doc/html/math_toolkit/quat_non_mem.html +++ b/doc/html/math_toolkit/quat_non_mem.html @@ -4,7 +4,7 @@ Quaternion Non-Member Operators - + diff --git a/doc/html/math_toolkit/quat_overview.html b/doc/html/math_toolkit/quat_overview.html index 8e17414138..c40d4fadba 100644 --- a/doc/html/math_toolkit/quat_overview.html +++ b/doc/html/math_toolkit/quat_overview.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/quat_synopsis.html b/doc/html/math_toolkit/quat_synopsis.html index f8ef8ee627..09d605d64d 100644 --- a/doc/html/math_toolkit/quat_synopsis.html +++ b/doc/html/math_toolkit/quat_synopsis.html @@ -4,7 +4,7 @@ Synopsis - + diff --git a/doc/html/math_toolkit/quat_tests.html b/doc/html/math_toolkit/quat_tests.html index 6dab008f0c..25b30c45e0 100644 --- a/doc/html/math_toolkit/quat_tests.html +++ b/doc/html/math_toolkit/quat_tests.html @@ -4,7 +4,7 @@ Test Program - + diff --git a/doc/html/math_toolkit/quat_todo.html b/doc/html/math_toolkit/quat_todo.html index e2597d6d29..0e87d4c26d 100644 --- a/doc/html/math_toolkit/quat_todo.html +++ b/doc/html/math_toolkit/quat_todo.html @@ -4,7 +4,7 @@ To Do - + diff --git a/doc/html/math_toolkit/quintic_hermite.html b/doc/html/math_toolkit/quintic_hermite.html index 2f56e350c0..6b40ccb2fe 100644 --- a/doc/html/math_toolkit/quintic_hermite.html +++ b/doc/html/math_toolkit/quintic_hermite.html @@ -4,7 +4,7 @@ Quintic Hermite interpolation - + diff --git a/doc/html/math_toolkit/random_search.html b/doc/html/math_toolkit/random_search.html index 4e6c65f7e4..5c8f036466 100644 --- a/doc/html/math_toolkit/random_search.html +++ b/doc/html/math_toolkit/random_search.html @@ -4,7 +4,7 @@ Random Search - + diff --git a/doc/html/math_toolkit/rational.html b/doc/html/math_toolkit/rational.html index c68d9dc9bd..6be0b987b9 100644 --- a/doc/html/math_toolkit/rational.html +++ b/doc/html/math_toolkit/rational.html @@ -4,7 +4,7 @@ Polynomial and Rational Function Evaluation - + diff --git a/doc/html/math_toolkit/rationale.html b/doc/html/math_toolkit/rationale.html index 0b8592e43d..da3f66ff0b 100644 --- a/doc/html/math_toolkit/rationale.html +++ b/doc/html/math_toolkit/rationale.html @@ -4,7 +4,7 @@ Rationale - + diff --git a/doc/html/math_toolkit/real_concepts.html b/doc/html/math_toolkit/real_concepts.html index 0cd7ddb2fc..24e43fa396 100644 --- a/doc/html/math_toolkit/real_concepts.html +++ b/doc/html/math_toolkit/real_concepts.html @@ -4,7 +4,7 @@ Conceptual Requirements for Real Number Types - + diff --git a/doc/html/math_toolkit/refs.html b/doc/html/math_toolkit/refs.html index 710128a701..747f4e1a16 100644 --- a/doc/html/math_toolkit/refs.html +++ b/doc/html/math_toolkit/refs.html @@ -4,7 +4,7 @@ References - + diff --git a/doc/html/math_toolkit/relative_error.html b/doc/html/math_toolkit/relative_error.html index a5fd2933c3..01140ec60f 100644 --- a/doc/html/math_toolkit/relative_error.html +++ b/doc/html/math_toolkit/relative_error.html @@ -4,7 +4,7 @@ Relative Error - + diff --git a/doc/html/math_toolkit/remez.html b/doc/html/math_toolkit/remez.html index 2717479550..bb873ab912 100644 --- a/doc/html/math_toolkit/remez.html +++ b/doc/html/math_toolkit/remez.html @@ -4,7 +4,7 @@ The Remez Method - + diff --git a/doc/html/math_toolkit/result_type.html b/doc/html/math_toolkit/result_type.html index 087a5838a9..35ab5f7aa1 100644 --- a/doc/html/math_toolkit/result_type.html +++ b/doc/html/math_toolkit/result_type.html @@ -4,7 +4,7 @@ Calculation of the Type of the Result - + diff --git a/doc/html/math_toolkit/root_comparison.html b/doc/html/math_toolkit/root_comparison.html index cd014668f6..d9913d9bc2 100644 --- a/doc/html/math_toolkit/root_comparison.html +++ b/doc/html/math_toolkit/root_comparison.html @@ -4,7 +4,7 @@ Comparison of Root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html index 7556209ca3..70fabe399d 100644 --- a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html +++ b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html @@ -4,7 +4,7 @@ Comparison of Cube Root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html index cce8dea7f6..74028299d5 100644 --- a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html +++ b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html @@ -4,7 +4,7 @@ Comparison of Elliptic Integral Root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_comparison/root_n_comparison.html b/doc/html/math_toolkit/root_comparison/root_n_comparison.html index 7a37fc6609..e1ce065da3 100644 --- a/doc/html/math_toolkit/root_comparison/root_n_comparison.html +++ b/doc/html/math_toolkit/root_comparison/root_n_comparison.html @@ -4,7 +4,7 @@ Comparison of Nth-root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_finding_examples.html b/doc/html/math_toolkit/root_finding_examples.html index d4e1cff694..3bc995d0d1 100644 --- a/doc/html/math_toolkit/root_finding_examples.html +++ b/doc/html/math_toolkit/root_finding_examples.html @@ -4,7 +4,7 @@ Examples of Root-Finding (with and without derivatives) - + diff --git a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html index e10a633cc9..5e96e0742d 100644 --- a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html @@ -4,7 +4,7 @@ Computing the Fifth Root - + diff --git a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html index 7e37ecbb36..c6d6dd8379 100644 --- a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html @@ -4,7 +4,7 @@ Finding the Cubed Root With and Without Derivatives - + diff --git a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html index 586738ef4d..6713531608 100644 --- a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html @@ -4,7 +4,7 @@ A More complex example - Inverting the Elliptic Integrals - + diff --git a/doc/html/math_toolkit/root_finding_examples/lambda.html b/doc/html/math_toolkit/root_finding_examples/lambda.html index a32b81003c..1f63c954e8 100644 --- a/doc/html/math_toolkit/root_finding_examples/lambda.html +++ b/doc/html/math_toolkit/root_finding_examples/lambda.html @@ -4,7 +4,7 @@ Using C++11 Lambda's - + diff --git a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html index ef9cdce1a0..5cc76e6489 100644 --- a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html +++ b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html @@ -4,7 +4,7 @@ Root-finding using Boost.Multiprecision - + diff --git a/doc/html/math_toolkit/root_finding_examples/nth_root.html b/doc/html/math_toolkit/root_finding_examples/nth_root.html index c6f4a6e0e0..8f702d8314 100644 --- a/doc/html/math_toolkit/root_finding_examples/nth_root.html +++ b/doc/html/math_toolkit/root_finding_examples/nth_root.html @@ -4,7 +4,7 @@ Generalizing to Compute the nth root - + diff --git a/doc/html/math_toolkit/roots_deriv.html b/doc/html/math_toolkit/roots_deriv.html index 7ba9ce3d7b..9d03cae8b2 100644 --- a/doc/html/math_toolkit/roots_deriv.html +++ b/doc/html/math_toolkit/roots_deriv.html @@ -4,7 +4,7 @@ Root Finding With Derivatives: Newton-Raphson, Halley & Schröder - + @@ -57,8 +57,8 @@

    template <class F, class T> T schroder_iterate(F f, T guess, T min, T max, int digits, std::uintmax_t& max_iter); -template <class F, class Complex> -Complex complex_newton(F f, Complex guess, int max_iterations = std::numeric_limits<typename Complex::value_type>::digits); +template <class F, class ComplexType> +Complex complex_newton(F f, Complex guess, int max_iterations = std::numeric_limits<typename ComplexType::value_type>::digits); template<class T> auto quadratic_roots(T const & a, T const & b, T const & c); diff --git a/doc/html/math_toolkit/roots_noderiv.html b/doc/html/math_toolkit/roots_noderiv.html index 50a97ef31d..8a29cac8d9 100644 --- a/doc/html/math_toolkit/roots_noderiv.html +++ b/doc/html/math_toolkit/roots_noderiv.html @@ -4,7 +4,7 @@ Root Finding Without Derivatives - + diff --git a/doc/html/math_toolkit/roots_noderiv/TOMS748.html b/doc/html/math_toolkit/roots_noderiv/TOMS748.html index 8c09964d65..eae54122d8 100644 --- a/doc/html/math_toolkit/roots_noderiv/TOMS748.html +++ b/doc/html/math_toolkit/roots_noderiv/TOMS748.html @@ -4,7 +4,7 @@ Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions - + diff --git a/doc/html/math_toolkit/roots_noderiv/bisect.html b/doc/html/math_toolkit/roots_noderiv/bisect.html index 226670b554..1460bb12e6 100644 --- a/doc/html/math_toolkit/roots_noderiv/bisect.html +++ b/doc/html/math_toolkit/roots_noderiv/bisect.html @@ -4,7 +4,7 @@ Bisection - + diff --git a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html index bdc2a676a6..c51bc11880 100644 --- a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html +++ b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html @@ -4,7 +4,7 @@ Bracket and Solve Root - + diff --git a/doc/html/math_toolkit/roots_noderiv/brent.html b/doc/html/math_toolkit/roots_noderiv/brent.html index 1d298f1233..6421dc8136 100644 --- a/doc/html/math_toolkit/roots_noderiv/brent.html +++ b/doc/html/math_toolkit/roots_noderiv/brent.html @@ -4,7 +4,7 @@ Brent-Decker Algorithm - + diff --git a/doc/html/math_toolkit/roots_noderiv/implementation.html b/doc/html/math_toolkit/roots_noderiv/implementation.html index 7e99cfa6ea..5243362fe4 100644 --- a/doc/html/math_toolkit/roots_noderiv/implementation.html +++ b/doc/html/math_toolkit/roots_noderiv/implementation.html @@ -4,7 +4,7 @@ Implementation - + diff --git a/doc/html/math_toolkit/roots_noderiv/root_termination.html b/doc/html/math_toolkit/roots_noderiv/root_termination.html index 179209447a..eac179508d 100644 --- a/doc/html/math_toolkit/roots_noderiv/root_termination.html +++ b/doc/html/math_toolkit/roots_noderiv/root_termination.html @@ -4,7 +4,7 @@ Termination Condition Functors - + diff --git a/doc/html/math_toolkit/rounding.html b/doc/html/math_toolkit/rounding.html index 9057a61d81..6cc26209c8 100644 --- a/doc/html/math_toolkit/rounding.html +++ b/doc/html/math_toolkit/rounding.html @@ -4,7 +4,7 @@ Rounding Truncation and Integer Conversion - + diff --git a/doc/html/math_toolkit/rounding/modf.html b/doc/html/math_toolkit/rounding/modf.html index f10577b70f..383d732388 100644 --- a/doc/html/math_toolkit/rounding/modf.html +++ b/doc/html/math_toolkit/rounding/modf.html @@ -4,7 +4,7 @@ Integer and Fractional Part Splitting (modf) - + diff --git a/doc/html/math_toolkit/rounding/round.html b/doc/html/math_toolkit/rounding/round.html index 602086f8d2..a8d47d9baf 100644 --- a/doc/html/math_toolkit/rounding/round.html +++ b/doc/html/math_toolkit/rounding/round.html @@ -4,7 +4,7 @@ Rounding Functions - + diff --git a/doc/html/math_toolkit/rounding/trunc.html b/doc/html/math_toolkit/rounding/trunc.html index f5d74b7ce7..67c244f892 100644 --- a/doc/html/math_toolkit/rounding/trunc.html +++ b/doc/html/math_toolkit/rounding/trunc.html @@ -4,7 +4,7 @@ Truncation Functions - + diff --git a/doc/html/math_toolkit/runs_test.html b/doc/html/math_toolkit/runs_test.html index 24292fbc28..bf8fc5cb7a 100644 --- a/doc/html/math_toolkit/runs_test.html +++ b/doc/html/math_toolkit/runs_test.html @@ -4,7 +4,7 @@ Runs tests - + diff --git a/doc/html/math_toolkit/sf_beta.html b/doc/html/math_toolkit/sf_beta.html index 77f2ba29f6..29a4c0c4ef 100644 --- a/doc/html/math_toolkit/sf_beta.html +++ b/doc/html/math_toolkit/sf_beta.html @@ -4,7 +4,7 @@ Beta Functions - + diff --git a/doc/html/math_toolkit/sf_beta/beta_derivative.html b/doc/html/math_toolkit/sf_beta/beta_derivative.html index d60945344a..0f972a33b0 100644 --- a/doc/html/math_toolkit/sf_beta/beta_derivative.html +++ b/doc/html/math_toolkit/sf_beta/beta_derivative.html @@ -4,7 +4,7 @@ Derivative of the Incomplete Beta Function - + diff --git a/doc/html/math_toolkit/sf_beta/beta_function.html b/doc/html/math_toolkit/sf_beta/beta_function.html index fc3140aa18..19f38f361f 100644 --- a/doc/html/math_toolkit/sf_beta/beta_function.html +++ b/doc/html/math_toolkit/sf_beta/beta_function.html @@ -4,7 +4,7 @@ Beta - + diff --git a/doc/html/math_toolkit/sf_beta/ibeta_function.html b/doc/html/math_toolkit/sf_beta/ibeta_function.html index b5bb1f301a..f88171accd 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_function.html @@ -4,7 +4,7 @@ Incomplete Beta Functions - + diff --git a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html index f9dd9ddc18..3e3e7c6fae 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html @@ -4,7 +4,7 @@ The Incomplete Beta Function Inverses - + diff --git a/doc/html/math_toolkit/sf_erf.html b/doc/html/math_toolkit/sf_erf.html index 19732749f4..0e11e99721 100644 --- a/doc/html/math_toolkit/sf_erf.html +++ b/doc/html/math_toolkit/sf_erf.html @@ -4,7 +4,7 @@ Error Functions - + diff --git a/doc/html/math_toolkit/sf_erf/error_function.html b/doc/html/math_toolkit/sf_erf/error_function.html index 331463ef43..2d41758c3f 100644 --- a/doc/html/math_toolkit/sf_erf/error_function.html +++ b/doc/html/math_toolkit/sf_erf/error_function.html @@ -4,7 +4,7 @@ Error Function erf and complement erfc - + diff --git a/doc/html/math_toolkit/sf_erf/error_inv.html b/doc/html/math_toolkit/sf_erf/error_inv.html index 2629e6e9ef..dde4b93ed4 100644 --- a/doc/html/math_toolkit/sf_erf/error_inv.html +++ b/doc/html/math_toolkit/sf_erf/error_inv.html @@ -4,7 +4,7 @@ Error Function Inverses - + diff --git a/doc/html/math_toolkit/sf_gamma.html b/doc/html/math_toolkit/sf_gamma.html index b3ff6c1d4a..ece4e529cb 100644 --- a/doc/html/math_toolkit/sf_gamma.html +++ b/doc/html/math_toolkit/sf_gamma.html @@ -4,7 +4,7 @@ Gamma Functions - + diff --git a/doc/html/math_toolkit/sf_gamma/digamma.html b/doc/html/math_toolkit/sf_gamma/digamma.html index fe14f16476..569432a435 100644 --- a/doc/html/math_toolkit/sf_gamma/digamma.html +++ b/doc/html/math_toolkit/sf_gamma/digamma.html @@ -4,7 +4,7 @@ Digamma - + diff --git a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html index 9674c0fcfd..d5ca38ea64 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html @@ -4,7 +4,7 @@ Derivative of the Incomplete Gamma Function - + diff --git a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html index 4a43031b24..5522aaacdc 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html @@ -4,7 +4,7 @@ Ratios of Gamma Functions - + diff --git a/doc/html/math_toolkit/sf_gamma/igamma.html b/doc/html/math_toolkit/sf_gamma/igamma.html index 8dd7a45ba2..7b1d6801d2 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma.html +++ b/doc/html/math_toolkit/sf_gamma/igamma.html @@ -4,7 +4,7 @@ Incomplete Gamma Functions - + diff --git a/doc/html/math_toolkit/sf_gamma/igamma_inv.html b/doc/html/math_toolkit/sf_gamma/igamma_inv.html index c8fae1649c..abda951bd5 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma_inv.html +++ b/doc/html/math_toolkit/sf_gamma/igamma_inv.html @@ -4,7 +4,7 @@ Incomplete Gamma Function Inverses - + diff --git a/doc/html/math_toolkit/sf_gamma/lgamma.html b/doc/html/math_toolkit/sf_gamma/lgamma.html index 6934963e7c..d19124ad9a 100644 --- a/doc/html/math_toolkit/sf_gamma/lgamma.html +++ b/doc/html/math_toolkit/sf_gamma/lgamma.html @@ -4,7 +4,7 @@ Log Gamma - + diff --git a/doc/html/math_toolkit/sf_gamma/polygamma.html b/doc/html/math_toolkit/sf_gamma/polygamma.html index f656e42e0c..3edb16329b 100644 --- a/doc/html/math_toolkit/sf_gamma/polygamma.html +++ b/doc/html/math_toolkit/sf_gamma/polygamma.html @@ -4,7 +4,7 @@ Polygamma - + diff --git a/doc/html/math_toolkit/sf_gamma/tgamma.html b/doc/html/math_toolkit/sf_gamma/tgamma.html index ab93b2f95a..bdcdb0e4f8 100644 --- a/doc/html/math_toolkit/sf_gamma/tgamma.html +++ b/doc/html/math_toolkit/sf_gamma/tgamma.html @@ -4,7 +4,7 @@ Gamma - + diff --git a/doc/html/math_toolkit/sf_gamma/trigamma.html b/doc/html/math_toolkit/sf_gamma/trigamma.html index 8c9826abcb..5e97f21508 100644 --- a/doc/html/math_toolkit/sf_gamma/trigamma.html +++ b/doc/html/math_toolkit/sf_gamma/trigamma.html @@ -4,7 +4,7 @@ Trigamma - + diff --git a/doc/html/math_toolkit/sf_implementation.html b/doc/html/math_toolkit/sf_implementation.html index 4b21700ed7..e5839f63b6 100644 --- a/doc/html/math_toolkit/sf_implementation.html +++ b/doc/html/math_toolkit/sf_implementation.html @@ -4,7 +4,7 @@ Additional Implementation Notes - + diff --git a/doc/html/math_toolkit/sf_poly.html b/doc/html/math_toolkit/sf_poly.html index d8c3f9bef4..a61798359e 100644 --- a/doc/html/math_toolkit/sf_poly.html +++ b/doc/html/math_toolkit/sf_poly.html @@ -4,7 +4,7 @@ Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html index dd24ed13a2..eb4dac20d1 100644 --- a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html +++ b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html @@ -4,7 +4,7 @@ Cardinal B-splines - + diff --git a/doc/html/math_toolkit/sf_poly/chebyshev.html b/doc/html/math_toolkit/sf_poly/chebyshev.html index ccf5777a4b..be6881bc51 100644 --- a/doc/html/math_toolkit/sf_poly/chebyshev.html +++ b/doc/html/math_toolkit/sf_poly/chebyshev.html @@ -4,7 +4,7 @@ Chebyshev Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/gegenbauer.html b/doc/html/math_toolkit/sf_poly/gegenbauer.html index 86e8fc13b2..8768c4e3f2 100644 --- a/doc/html/math_toolkit/sf_poly/gegenbauer.html +++ b/doc/html/math_toolkit/sf_poly/gegenbauer.html @@ -4,7 +4,7 @@ Gegenbauer Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/hermite.html b/doc/html/math_toolkit/sf_poly/hermite.html index 47b377e7b2..92693bbc4c 100644 --- a/doc/html/math_toolkit/sf_poly/hermite.html +++ b/doc/html/math_toolkit/sf_poly/hermite.html @@ -4,7 +4,7 @@ Hermite Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/jacobi.html b/doc/html/math_toolkit/sf_poly/jacobi.html index 1e99747508..4cf07a1efa 100644 --- a/doc/html/math_toolkit/sf_poly/jacobi.html +++ b/doc/html/math_toolkit/sf_poly/jacobi.html @@ -4,7 +4,7 @@ Jacobi Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/laguerre.html b/doc/html/math_toolkit/sf_poly/laguerre.html index 87ac41ad61..ce282a103e 100644 --- a/doc/html/math_toolkit/sf_poly/laguerre.html +++ b/doc/html/math_toolkit/sf_poly/laguerre.html @@ -4,7 +4,7 @@ Laguerre (and Associated) Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/legendre.html b/doc/html/math_toolkit/sf_poly/legendre.html index e65d05fabe..65888f33e6 100644 --- a/doc/html/math_toolkit/sf_poly/legendre.html +++ b/doc/html/math_toolkit/sf_poly/legendre.html @@ -4,7 +4,7 @@ Legendre (and Associated) Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html index 93f8c8057d..a8643d1a3e 100644 --- a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html +++ b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html @@ -4,7 +4,7 @@ Legendre-Stieltjes Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/sph_harm.html b/doc/html/math_toolkit/sf_poly/sph_harm.html index 2c64bf6963..a8c6b3e68f 100644 --- a/doc/html/math_toolkit/sf_poly/sph_harm.html +++ b/doc/html/math_toolkit/sf_poly/sph_harm.html @@ -4,7 +4,7 @@ Spherical Harmonics - + diff --git a/doc/html/math_toolkit/sign_functions.html b/doc/html/math_toolkit/sign_functions.html index 27fc4a0015..d44a7585da 100644 --- a/doc/html/math_toolkit/sign_functions.html +++ b/doc/html/math_toolkit/sign_functions.html @@ -4,7 +4,7 @@ Sign Manipulation Functions - + diff --git a/doc/html/math_toolkit/signal_statistics.html b/doc/html/math_toolkit/signal_statistics.html index c056bdcf8c..4fa6b987ba 100644 --- a/doc/html/math_toolkit/signal_statistics.html +++ b/doc/html/math_toolkit/signal_statistics.html @@ -4,7 +4,7 @@ Signal Statistics - + diff --git a/doc/html/math_toolkit/sinc.html b/doc/html/math_toolkit/sinc.html index a4d171359b..1e0e1bb0fb 100644 --- a/doc/html/math_toolkit/sinc.html +++ b/doc/html/math_toolkit/sinc.html @@ -4,7 +4,7 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions - + diff --git a/doc/html/math_toolkit/sinc/sinc_overview.html b/doc/html/math_toolkit/sinc/sinc_overview.html index 00dda2ee03..ab6d4fdd00 100644 --- a/doc/html/math_toolkit/sinc/sinc_overview.html +++ b/doc/html/math_toolkit/sinc/sinc_overview.html @@ -4,7 +4,7 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview - + diff --git a/doc/html/math_toolkit/sinc/sinc_pi.html b/doc/html/math_toolkit/sinc/sinc_pi.html index 4980b0dff9..4d8981998b 100644 --- a/doc/html/math_toolkit/sinc/sinc_pi.html +++ b/doc/html/math_toolkit/sinc/sinc_pi.html @@ -4,7 +4,7 @@ sinc_pi - + diff --git a/doc/html/math_toolkit/sinc/sinhc_pi.html b/doc/html/math_toolkit/sinc/sinhc_pi.html index 2265f44d35..41e0e34453 100644 --- a/doc/html/math_toolkit/sinc/sinhc_pi.html +++ b/doc/html/math_toolkit/sinc/sinhc_pi.html @@ -4,7 +4,7 @@ sinhc_pi - + diff --git a/doc/html/math_toolkit/spec.html b/doc/html/math_toolkit/spec.html index f3275dd890..54de65acb0 100644 --- a/doc/html/math_toolkit/spec.html +++ b/doc/html/math_toolkit/spec.html @@ -4,7 +4,7 @@ Quaternion Specializations - + diff --git a/doc/html/math_toolkit/special_tut.html b/doc/html/math_toolkit/special_tut.html index ff1751e900..2e2e958df2 100644 --- a/doc/html/math_toolkit/special_tut.html +++ b/doc/html/math_toolkit/special_tut.html @@ -4,7 +4,7 @@ Tutorial: How to Write a New Special Function - + diff --git a/doc/html/math_toolkit/special_tut/special_tut_impl.html b/doc/html/math_toolkit/special_tut/special_tut_impl.html index 247f4f726f..21c5c37a3e 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_impl.html +++ b/doc/html/math_toolkit/special_tut/special_tut_impl.html @@ -4,7 +4,7 @@ Implementation - + diff --git a/doc/html/math_toolkit/special_tut/special_tut_test.html b/doc/html/math_toolkit/special_tut/special_tut_test.html index 83b7a34a4a..b88057e3bd 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_test.html +++ b/doc/html/math_toolkit/special_tut/special_tut_test.html @@ -4,7 +4,7 @@ Testing - + diff --git a/doc/html/math_toolkit/specified_typedefs.html b/doc/html/math_toolkit/specified_typedefs.html index edfb25b184..01fb88dfd7 100644 --- a/doc/html/math_toolkit/specified_typedefs.html +++ b/doc/html/math_toolkit/specified_typedefs.html @@ -4,7 +4,7 @@ Overview - + diff --git a/doc/html/math_toolkit/standalone.html b/doc/html/math_toolkit/standalone.html index 8343f020b8..43137148e8 100644 --- a/doc/html/math_toolkit/standalone.html +++ b/doc/html/math_toolkit/standalone.html @@ -4,7 +4,7 @@ Standalone Usage - + diff --git a/doc/html/math_toolkit/stat_tut.html b/doc/html/math_toolkit/stat_tut.html index a33861588a..3dfa96eab6 100644 --- a/doc/html/math_toolkit/stat_tut.html +++ b/doc/html/math_toolkit/stat_tut.html @@ -4,7 +4,7 @@ Statistical Distributions Tutorial - + diff --git a/doc/html/math_toolkit/stat_tut/dist_params.html b/doc/html/math_toolkit/stat_tut/dist_params.html index f759eaf010..c2b57e7b9c 100644 --- a/doc/html/math_toolkit/stat_tut/dist_params.html +++ b/doc/html/math_toolkit/stat_tut/dist_params.html @@ -4,7 +4,7 @@ Discrete Probability Distributions - + diff --git a/doc/html/math_toolkit/stat_tut/overview.html b/doc/html/math_toolkit/stat_tut/overview.html index 8f4f18e397..bbde10f4a8 100644 --- a/doc/html/math_toolkit/stat_tut/overview.html +++ b/doc/html/math_toolkit/stat_tut/overview.html @@ -4,7 +4,7 @@ Overview of Statistical Distributions - + diff --git a/doc/html/math_toolkit/stat_tut/overview/complements.html b/doc/html/math_toolkit/stat_tut/overview/complements.html index 6934b024a2..5f1f3fd6e4 100644 --- a/doc/html/math_toolkit/stat_tut/overview/complements.html +++ b/doc/html/math_toolkit/stat_tut/overview/complements.html @@ -4,7 +4,7 @@ Complements are supported too - and when to use them - + diff --git a/doc/html/math_toolkit/stat_tut/overview/generic.html b/doc/html/math_toolkit/stat_tut/overview/generic.html index cba3fb5ea9..8fd3c26d3e 100644 --- a/doc/html/math_toolkit/stat_tut/overview/generic.html +++ b/doc/html/math_toolkit/stat_tut/overview/generic.html @@ -4,7 +4,7 @@ Generic operations common to all distributions are non-member functions - + diff --git a/doc/html/math_toolkit/stat_tut/overview/headers.html b/doc/html/math_toolkit/stat_tut/overview/headers.html index 9bf59b34d9..8bd7edd3b0 100644 --- a/doc/html/math_toolkit/stat_tut/overview/headers.html +++ b/doc/html/math_toolkit/stat_tut/overview/headers.html @@ -4,7 +4,7 @@ Headers and Namespaces - + diff --git a/doc/html/math_toolkit/stat_tut/overview/objects.html b/doc/html/math_toolkit/stat_tut/overview/objects.html index c54074d81c..b6394bc1bf 100644 --- a/doc/html/math_toolkit/stat_tut/overview/objects.html +++ b/doc/html/math_toolkit/stat_tut/overview/objects.html @@ -4,7 +4,7 @@ Distributions are Objects - + diff --git a/doc/html/math_toolkit/stat_tut/overview/parameters.html b/doc/html/math_toolkit/stat_tut/overview/parameters.html index 4bdb61d96d..3776ae1e4a 100644 --- a/doc/html/math_toolkit/stat_tut/overview/parameters.html +++ b/doc/html/math_toolkit/stat_tut/overview/parameters.html @@ -4,7 +4,7 @@ Parameters can be calculated - + diff --git a/doc/html/math_toolkit/stat_tut/overview/summary.html b/doc/html/math_toolkit/stat_tut/overview/summary.html index 6584fa1e6f..9acc5d898f 100644 --- a/doc/html/math_toolkit/stat_tut/overview/summary.html +++ b/doc/html/math_toolkit/stat_tut/overview/summary.html @@ -4,7 +4,7 @@ Summary - + diff --git a/doc/html/math_toolkit/stat_tut/variates.html b/doc/html/math_toolkit/stat_tut/variates.html index 9de961c928..e53c35131d 100644 --- a/doc/html/math_toolkit/stat_tut/variates.html +++ b/doc/html/math_toolkit/stat_tut/variates.html @@ -4,7 +4,7 @@ Random Variates and Distribution Parameters - + diff --git a/doc/html/math_toolkit/stat_tut/weg.html b/doc/html/math_toolkit/stat_tut/weg.html index 0cb00efeeb..ae65e05218 100644 --- a/doc/html/math_toolkit/stat_tut/weg.html +++ b/doc/html/math_toolkit/stat_tut/weg.html @@ -4,7 +4,7 @@ Worked Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html index 07de3cc10b..10742eb644 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html @@ -4,7 +4,7 @@ Binomial Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html index 7097db8d1d..bca6b5a781 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html @@ -4,7 +4,7 @@ Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html index 6bde03cec5..849d02f773 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html @@ -4,7 +4,7 @@ Estimating Sample Sizes for a Binomial Distribution. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html index 4fcc8c0d14..011b9763a0 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html @@ -4,7 +4,7 @@ Binomial Coin-Flipping Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html index f374b7aa81..55810e0379 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html @@ -4,7 +4,7 @@ Binomial Quiz Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html index b60a36bdef..e76d0706c1 100644 --- a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html +++ b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html @@ -4,7 +4,7 @@ Using the Distributions from Within C# - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html index d79aec1585..ca94a0da1a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html @@ -4,7 +4,7 @@ Chi Squared Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html index 45bf553884..6da1e2c5f2 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html @@ -4,7 +4,7 @@ Confidence Intervals on the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html index 3fff12a9cb..866f3d33cb 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html @@ -4,7 +4,7 @@ Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html index bc8e7a8ba2..576368e838 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html @@ -4,7 +4,7 @@ Chi-Square Test for the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html index cc999aa7dd..b576708e26 100644 --- a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html @@ -4,7 +4,7 @@ Distribution Construction Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/error_eg.html b/doc/html/math_toolkit/stat_tut/weg/error_eg.html index 22c87ecad7..5fc9304fc7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/error_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/error_eg.html @@ -4,7 +4,7 @@ Error Handling Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/f_eg.html b/doc/html/math_toolkit/stat_tut/weg/f_eg.html index 0473f09486..f60a138202 100644 --- a/doc/html/math_toolkit/stat_tut/weg/f_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/f_eg.html @@ -4,7 +4,7 @@ F Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg.html index 99e81d9e0b..7390f77dd6 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg.html @@ -4,7 +4,7 @@ Find Location and Scale Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html index bc1fc24012..bd4fcba8e1 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html @@ -4,7 +4,7 @@ Find Location (Mean) Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html index 6fedb676a0..abc3db975b 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html @@ -4,7 +4,7 @@ Find mean and standard deviation example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html index f3e8d89618..50a0fd162a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html @@ -4,7 +4,7 @@ Find Scale (Standard Deviation) Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html index 84d8b553d3..500f6bf70a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html @@ -4,7 +4,7 @@ Geometric Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html index 844943039f..788137d6dc 100644 --- a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html @@ -4,7 +4,7 @@ Inverse Chi-Squared Distribution Bayes Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/nag_library.html b/doc/html/math_toolkit/stat_tut/weg/nag_library.html index 95ef9ca135..52f9b177cd 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nag_library.html +++ b/doc/html/math_toolkit/stat_tut/weg/nag_library.html @@ -4,7 +4,7 @@ Comparison with C, R, FORTRAN-style Free Functions - + diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html index e885624bc7..bfeafc5a50 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html @@ -4,7 +4,7 @@ Non Central Chi Squared Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html index 87f3e6c295..95f5fc6a76 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html @@ -4,7 +4,7 @@ Tables of the power function of the chi2 test. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html index c7fe5ee9bd..99d58c7ec5 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html @@ -4,7 +4,7 @@ Negative Binomial Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html index 0702a68de9..5af7b44af9 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html @@ -4,7 +4,7 @@ Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html index 5b9310580c..d424dca31d 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html @@ -4,7 +4,7 @@ Estimating Sample Sizes for the Negative Binomial. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html index 81ef069ace..5f9021533f 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html @@ -4,7 +4,7 @@ Negative Binomial Sales Quota Example. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html index 5197acee92..176f14a0cf 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html @@ -4,7 +4,7 @@ Negative Binomial Table Printing Example. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example.html b/doc/html/math_toolkit/stat_tut/weg/normal_example.html index 88154c3133..188a7a2977 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example.html @@ -4,7 +4,7 @@ Normal Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html index bd43e5d043..539ae54016 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html @@ -4,7 +4,7 @@ Some Miscellaneous Examples of the Normal (Gaussian) Distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg.html b/doc/html/math_toolkit/stat_tut/weg/st_eg.html index 10d9e5dbab..253fa04287 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg.html @@ -4,7 +4,7 @@ Student's t Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html index cda95ee3b4..545837ce2c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html @@ -4,7 +4,7 @@ Comparing two paired samples with the Student's t distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html index acfceb18dd..53a6bf8f02 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html @@ -4,7 +4,7 @@ Calculating confidence intervals on the mean with the Students-t distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html index f0ade2b036..b517d9c5a0 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html @@ -4,7 +4,7 @@ Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html index 98fdd48037..151789b574 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html @@ -4,7 +4,7 @@ Testing a sample mean for difference from a "true" mean - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html index b6c845fa0f..3b79fbcd4a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html @@ -4,7 +4,7 @@ Comparing the means of two samples with the Students-t test - + diff --git a/doc/html/math_toolkit/t_test.html b/doc/html/math_toolkit/t_test.html index e42083fa8b..dd984073ed 100644 --- a/doc/html/math_toolkit/t_test.html +++ b/doc/html/math_toolkit/t_test.html @@ -4,7 +4,7 @@ t-tests - + diff --git a/doc/html/math_toolkit/threads.html b/doc/html/math_toolkit/threads.html index 42843fddaf..5ef7cfbd45 100644 --- a/doc/html/math_toolkit/threads.html +++ b/doc/html/math_toolkit/threads.html @@ -4,7 +4,7 @@ Thread Safety - + diff --git a/doc/html/math_toolkit/tr1_ref.html b/doc/html/math_toolkit/tr1_ref.html index 58d4d44f76..0ece2e9cdf 100644 --- a/doc/html/math_toolkit/tr1_ref.html +++ b/doc/html/math_toolkit/tr1_ref.html @@ -4,7 +4,7 @@ TR1 C Functions Quick Reference - + diff --git a/doc/html/math_toolkit/tradoffs.html b/doc/html/math_toolkit/tradoffs.html index 03b5f2d49b..ef923c3d93 100644 --- a/doc/html/math_toolkit/tradoffs.html +++ b/doc/html/math_toolkit/tradoffs.html @@ -4,7 +4,7 @@ Trading Accuracy for Performance - + diff --git a/doc/html/math_toolkit/trans.html b/doc/html/math_toolkit/trans.html index 7d65970046..fa24f731af 100644 --- a/doc/html/math_toolkit/trans.html +++ b/doc/html/math_toolkit/trans.html @@ -4,7 +4,7 @@ Quaternion Transcendentals - + diff --git a/doc/html/math_toolkit/trapezoidal.html b/doc/html/math_toolkit/trapezoidal.html index 6e00bca9c7..d94c49684f 100644 --- a/doc/html/math_toolkit/trapezoidal.html +++ b/doc/html/math_toolkit/trapezoidal.html @@ -4,7 +4,7 @@ Trapezoidal Quadrature - + diff --git a/doc/html/math_toolkit/tuning.html b/doc/html/math_toolkit/tuning.html index 8fb58bbc84..5d76e2bba0 100644 --- a/doc/html/math_toolkit/tuning.html +++ b/doc/html/math_toolkit/tuning.html @@ -4,7 +4,7 @@ Performance Tuning Macros - + diff --git a/doc/html/math_toolkit/tutorial.html b/doc/html/math_toolkit/tutorial.html index e0d9c2a733..64dc15bdaa 100644 --- a/doc/html/math_toolkit/tutorial.html +++ b/doc/html/math_toolkit/tutorial.html @@ -4,7 +4,7 @@ Tutorial - + diff --git a/doc/html/math_toolkit/tutorial/non_templ.html b/doc/html/math_toolkit/tutorial/non_templ.html index b4cf725c3e..aaf075dcb1 100644 --- a/doc/html/math_toolkit/tutorial/non_templ.html +++ b/doc/html/math_toolkit/tutorial/non_templ.html @@ -4,7 +4,7 @@ Use in non-template code - + diff --git a/doc/html/math_toolkit/tutorial/templ.html b/doc/html/math_toolkit/tutorial/templ.html index 2ca1243275..53cf4e9296 100644 --- a/doc/html/math_toolkit/tutorial/templ.html +++ b/doc/html/math_toolkit/tutorial/templ.html @@ -4,7 +4,7 @@ Use in template code - + diff --git a/doc/html/math_toolkit/tutorial/user_def.html b/doc/html/math_toolkit/tutorial/user_def.html index 9f7483df27..9d4a4402cc 100644 --- a/doc/html/math_toolkit/tutorial/user_def.html +++ b/doc/html/math_toolkit/tutorial/user_def.html @@ -4,7 +4,7 @@ Use With User-Defined Types - + diff --git a/doc/html/math_toolkit/ulps_plots.html b/doc/html/math_toolkit/ulps_plots.html index 89f7b6270f..f148160404 100644 --- a/doc/html/math_toolkit/ulps_plots.html +++ b/doc/html/math_toolkit/ulps_plots.html @@ -4,7 +4,7 @@ ULPs Plots - + diff --git a/doc/html/math_toolkit/univariate_statistics.html b/doc/html/math_toolkit/univariate_statistics.html index 2f9f752924..c309f99c7e 100644 --- a/doc/html/math_toolkit/univariate_statistics.html +++ b/doc/html/math_toolkit/univariate_statistics.html @@ -4,7 +4,7 @@ Univariate Statistics - + diff --git a/doc/html/math_toolkit/value_op.html b/doc/html/math_toolkit/value_op.html index ab28704bc7..cf4b6dc283 100644 --- a/doc/html/math_toolkit/value_op.html +++ b/doc/html/math_toolkit/value_op.html @@ -4,7 +4,7 @@ Quaternion Value Operations - + diff --git a/doc/html/math_toolkit/vector_barycentric.html b/doc/html/math_toolkit/vector_barycentric.html index f7d9fe124e..3a7c3de9fd 100644 --- a/doc/html/math_toolkit/vector_barycentric.html +++ b/doc/html/math_toolkit/vector_barycentric.html @@ -4,7 +4,7 @@ Vector-valued Barycentric Rational Interpolation - + diff --git a/doc/html/math_toolkit/wavelet_transforms.html b/doc/html/math_toolkit/wavelet_transforms.html index 1f858c6ab8..55e83a770a 100644 --- a/doc/html/math_toolkit/wavelet_transforms.html +++ b/doc/html/math_toolkit/wavelet_transforms.html @@ -4,7 +4,7 @@ Wavelet Transforms - + diff --git a/doc/html/math_toolkit/whittaker_shannon.html b/doc/html/math_toolkit/whittaker_shannon.html index a4c81bfab9..242ee4306d 100644 --- a/doc/html/math_toolkit/whittaker_shannon.html +++ b/doc/html/math_toolkit/whittaker_shannon.html @@ -4,7 +4,7 @@ Whittaker-Shannon interpolation - + diff --git a/doc/html/math_toolkit/z_test.html b/doc/html/math_toolkit/z_test.html index c22d070d6e..bbda367fae 100644 --- a/doc/html/math_toolkit/z_test.html +++ b/doc/html/math_toolkit/z_test.html @@ -4,7 +4,7 @@ z-tests - + diff --git a/doc/html/math_toolkit/zetas.html b/doc/html/math_toolkit/zetas.html index 3784cb60c3..f38d0e8cec 100644 --- a/doc/html/math_toolkit/zetas.html +++ b/doc/html/math_toolkit/zetas.html @@ -4,7 +4,7 @@ Zeta Functions - + diff --git a/doc/html/math_toolkit/zetas/zeta.html b/doc/html/math_toolkit/zetas/zeta.html index 88297a7e39..4a517596c2 100644 --- a/doc/html/math_toolkit/zetas/zeta.html +++ b/doc/html/math_toolkit/zetas/zeta.html @@ -4,7 +4,7 @@ Riemann Zeta Function - + diff --git a/doc/html/octonions.html b/doc/html/octonions.html index f6120887d5..acb41c9d74 100644 --- a/doc/html/octonions.html +++ b/doc/html/octonions.html @@ -4,8 +4,8 @@ Chapter 18. Octonions - - + + diff --git a/doc/html/optimization.html b/doc/html/optimization.html index 6e26a7544c..b4ab502bd4 100644 --- a/doc/html/optimization.html +++ b/doc/html/optimization.html @@ -4,8 +4,8 @@ Chapter 11. Optimization - - + + diff --git a/doc/html/overview.html b/doc/html/overview.html index 22577ad696..2fe65ad1b5 100644 --- a/doc/html/overview.html +++ b/doc/html/overview.html @@ -4,9 +4,9 @@ Chapter 1. Overview - - - + + + diff --git a/doc/html/perf.html b/doc/html/perf.html index 7708ff69f5..7b6abe893e 100644 --- a/doc/html/perf.html +++ b/doc/html/perf.html @@ -4,8 +4,8 @@ Chapter 23. Performance - - + + diff --git a/doc/html/policy.html b/doc/html/policy.html index 7289958af4..e4ee830b81 100644 --- a/doc/html/policy.html +++ b/doc/html/policy.html @@ -4,8 +4,8 @@ Chapter 22. Policies: Controlling Precision, Error Handling etc - - + + diff --git a/doc/html/poly.html b/doc/html/poly.html index 2141dc792c..65fb08f74b 100644 --- a/doc/html/poly.html +++ b/doc/html/poly.html @@ -4,8 +4,8 @@ Chapter 12. Polynomials and Rational Functions - - + + diff --git a/doc/html/quadrature.html b/doc/html/quadrature.html index 6a9cb1c301..10a1e895ff 100644 --- a/doc/html/quadrature.html +++ b/doc/html/quadrature.html @@ -4,8 +4,8 @@ Chapter 14. Quadrature and Differentiation - - + + diff --git a/doc/html/quaternions.html b/doc/html/quaternions.html index c9e40a82f4..c522167816 100644 --- a/doc/html/quaternions.html +++ b/doc/html/quaternions.html @@ -4,8 +4,8 @@ Chapter 17. Quaternions - - + + diff --git a/doc/html/root_finding.html b/doc/html/root_finding.html index a83d71964b..b5c76f8fba 100644 --- a/doc/html/root_finding.html +++ b/doc/html/root_finding.html @@ -4,8 +4,8 @@ Chapter 10. Root Finding & Minimization Algorithms - - + + diff --git a/doc/html/special.html b/doc/html/special.html index 3839c9a556..d4a2388980 100644 --- a/doc/html/special.html +++ b/doc/html/special.html @@ -4,8 +4,8 @@ Chapter 8. Special Functions - - + + diff --git a/doc/html/statistics.html b/doc/html/statistics.html index b58f82958d..4587fdcc9e 100644 --- a/doc/html/statistics.html +++ b/doc/html/statistics.html @@ -4,8 +4,8 @@ Chapter 6. Statistics - - + + diff --git a/doc/html/status.html b/doc/html/status.html index 835bad577a..7df20600cd 100644 --- a/doc/html/status.html +++ b/doc/html/status.html @@ -4,8 +4,8 @@ Chapter 25. Library Status - - + + diff --git a/doc/html/using_udt.html b/doc/html/using_udt.html index d7916c27f9..23f10a352a 100644 --- a/doc/html/using_udt.html +++ b/doc/html/using_udt.html @@ -4,8 +4,8 @@ Chapter 21. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others - - + + diff --git a/doc/html/utils.html b/doc/html/utils.html index b90afa7faa..1f860241c2 100644 --- a/doc/html/utils.html +++ b/doc/html/utils.html @@ -4,8 +4,8 @@ Chapter 2. Floating Point Utilities - - + + diff --git a/doc/html/vector_functionals.html b/doc/html/vector_functionals.html index d223465d59..877256f5f5 100644 --- a/doc/html/vector_functionals.html +++ b/doc/html/vector_functionals.html @@ -4,8 +4,8 @@ Chapter 7. Vector Functionals - Norms - - + +