From 293eab2b0c94712d78147f27fb8437160d9d4ed3 Mon Sep 17 00:00:00 2001 From: Nick Thompson Date: Sun, 20 Oct 2019 10:01:26 -0400 Subject: [PATCH 1/9] Linear regression [CI SKIP] --- doc/math.qbk | 1 + doc/statistics/linear_regression.qbk | 46 +++++++++++++++++++ .../math/statistics/linear_regression.hpp | 46 +++++++++++++++++++ test/Jamfile.v2 | 1 + test/least_squares_test.cpp | 37 +++++++++++++++ 5 files changed, 131 insertions(+) create mode 100644 doc/statistics/linear_regression.qbk create mode 100644 include/boost/math/statistics/linear_regression.hpp create mode 100644 test/least_squares_test.cpp diff --git a/doc/math.qbk b/doc/math.qbk index 4ee4335bd..79d0855e8 100644 --- a/doc/math.qbk +++ b/doc/math.qbk @@ -590,6 +590,7 @@ and as a CD ISBN 0-9504833-2-X 978-0-9504833-2-0, Classification 519.2-dc22. [include statistics/t_test.qbk] [include statistics/runs_test.qbk] [include statistics/ljung_box.qbk] +[include statistics/linear_regression.qbk] [endmathpart] [/section:statistics Statistics] [mathpart vector_functionals Vector Functionals - Norms] diff --git a/doc/statistics/linear_regression.qbk b/doc/statistics/linear_regression.qbk new file mode 100644 index 000000000..9911cc661 --- /dev/null +++ b/doc/statistics/linear_regression.qbk @@ -0,0 +1,46 @@ +[/ +Copyright (c) 2019 Nick Thompson +Use, modification and distribution are subject to 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) +] + +[section:linear_regression Linear Regression] + +[heading Synopsis] + +``` +#include + +namespace boost::math::statistics { + +template +std::pair ordinary_least_squares(RandomAccessContainer const & x, + RandomAccessContainer const & y); + + +}}} +``` + +[heading Background] + + +``` +#include +#include +#include + +std::vector x{1, 3, 7, 12}; +std::vector y{8,13,42, 48}; +auto [c0, c1] = boost::math::statistics::ordinary_least_squares(x,y); +// Model: y(x) = c0 + c1*x; +``` + + +[heading Performance] + + + + +[endsect] +[/section:linear_regression] diff --git a/include/boost/math/statistics/linear_regression.hpp b/include/boost/math/statistics/linear_regression.hpp new file mode 100644 index 000000000..503b01b24 --- /dev/null +++ b/include/boost/math/statistics/linear_regression.hpp @@ -0,0 +1,46 @@ +/* + * Copyright Nick Thompson, 2019 + * Use, modification and distribution are subject to 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) + */ + +#ifndef BOOST_MATH_STATISTICS_LINEAR_REGRESSION_HPP +#define BOOST_MATH_STATISTICS_LINEAR_REGRESSION_HPP + +#include +#include +#include + +namespace boost::math::statistics { + + +template +auto ordinary_least_squares(RandomAccessContainer const & x, + RandomAccessContainer const & y) +{ + using Real = typename RandomAccessContainer::value_type; + using std::sqrt; + using std::abs; + if (x.size() <= 1) + { + throw std::domain_error("At least 2 samples are required to perform a linear regression."); + } + + if (x.size() != y.size()) + { + throw std::domain_error("The same number of samples must be in the independent and dependent variable."); + } + typedef boost::math::policies::policy< + boost::math::policies::promote_float, + boost::math::policies::promote_double > + no_promote_policy; + + + Real c0 = std::numeric_limits::quiet_NaN(); + Real c1 = std::numeric_limits::quiet_NaN(); + return std::make_pair(c0, c1); +} + +} +#endif diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index 785dc7799..52fc7563b 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -959,6 +959,7 @@ test-suite misc : [ run ljung_box_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run test_t_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run bivariate_statistics_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] + [ run least_squares_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run test_runs_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run lanczos_smoothing_test.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run condition_number_test.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] diff --git a/test/least_squares_test.cpp b/test/least_squares_test.cpp new file mode 100644 index 000000000..b546206ea --- /dev/null +++ b/test/least_squares_test.cpp @@ -0,0 +1,37 @@ +/* + * Copyright Nick Thompson, 2019 + * Use, modification and distribution are subject to 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) + */ + +#include "math_unit_test.hpp" +#include +#include +#include + +using boost::math::statistics::ordinary_least_squares; + +template +void test_line() +{ + std::vector x(128); + std::vector y(128); + Real expected_c0 = 7; + Real expected_c1 = 12; + for (size_t i = 0; i < x.size(); ++i) { + x[i] = i; + y[i] = expected_c0 + expected_c1*x[i]; + } + + auto [computed_c0, computed_c1] = ordinary_least_squares(x, y); + + CHECK_ULP_CLOSE(expected_c0, computed_c0, 10); + CHECK_ULP_CLOSE(expected_c1, computed_c1, 10); +} + +int main() +{ + test_line(); + return boost::math::test::report_errors(); +} From c94557d1f5b2458a53a0e2781dc535d79b902db0 Mon Sep 17 00:00:00 2001 From: NAThompson Date: Sun, 20 Oct 2019 14:32:30 -0400 Subject: [PATCH 2/9] Documentation and R^2. --- doc/graphs/r_squared_definition.svg | 2 + .../simple_ordinary_least_squares_merit.svg | 2 + doc/statistics/linear_regression.qbk | 151 +++++++++++++++++- .../math/statistics/linear_regression.hpp | 69 ++++++-- .../math/statistics/univariate_statistics.hpp | 1 + test/Jamfile.v2 | 2 +- test/least_squares_test.cpp | 37 ----- test/linear_regression_test.cpp | 79 +++++++++ 8 files changed, 288 insertions(+), 55 deletions(-) create mode 100644 doc/graphs/r_squared_definition.svg create mode 100644 doc/graphs/simple_ordinary_least_squares_merit.svg delete mode 100644 test/least_squares_test.cpp create mode 100644 test/linear_regression_test.cpp diff --git a/doc/graphs/r_squared_definition.svg b/doc/graphs/r_squared_definition.svg new file mode 100644 index 000000000..a8db297f7 --- /dev/null +++ b/doc/graphs/r_squared_definition.svg @@ -0,0 +1,2 @@ + + \ No newline at end of file diff --git a/doc/graphs/simple_ordinary_least_squares_merit.svg b/doc/graphs/simple_ordinary_least_squares_merit.svg new file mode 100644 index 000000000..4d59f4452 --- /dev/null +++ b/doc/graphs/simple_ordinary_least_squares_merit.svg @@ -0,0 +1,2 @@ + + \ No newline at end of file diff --git a/doc/statistics/linear_regression.qbk b/doc/statistics/linear_regression.qbk index 9911cc661..681a9d14f 100644 --- a/doc/statistics/linear_regression.qbk +++ b/doc/statistics/linear_regression.qbk @@ -15,30 +15,167 @@ LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) namespace boost::math::statistics { template -std::pair ordinary_least_squares(RandomAccessContainer const & x, - RandomAccessContainer const & y); +std::pair simple_ordinary_least_squares(RandomAccessContainer const & x, + RandomAccessContainer const & y); +template +std::tuple simple_ordinary_least_squares_with_R_squared(RandomAccessContainer const & x, + RandomAccessContainer const & y); }}} ``` [heading Background] +A simple ordinary least squares finds the numbers /c/[sub 0] and /c/[sub 1] which minimizes the merit function + +[$../graphs/simple_ordinary_least_squares_merit.svg] + +The predictive model generated from the minima of this functional is /f/(/x/) = /c/[sub 0] + /c/[sub 1] /x/. + +It turns out that numerically, computing the numbers /c/[sub 0] and /c/[sub 1] is not /quite/ trivial. +See [@https://www.johndcook.com/blog/2008/10/20/comparing-two-ways-to-fit-a-line-to-data/ here] for an explanation of some ways linear regression can go wrong. +A better method of computing the model parameters uses one-pass, numerically stable methods to compute means, variances, and covariances, and then assembles the parameters from these. + +An example usage of the simple linear regression is given below: ``` #include -#include +#include #include -std::vector x{1, 3, 7, 12}; -std::vector y{8,13,42, 48}; -auto [c0, c1] = boost::math::statistics::ordinary_least_squares(x,y); -// Model: y(x) = c0 + c1*x; +int main() { + using boost::math::statistics::simple_ordinary_least_squares; + std::vector x{1, 3, 7, 12}; + std::vector y{8,13, 26, 35}; + + auto [c0, c1] = simple_ordinary_least_squares(x, y); + std::cout << "f(x) = " << c0 << " + " << c1 << "*x" << "\n"; + std::cout << "f(2) = " << c0 + c1*2 << "\n"; +} +// Output: +f(x) = 6.0742 + 2.50883*x +f(2) = 11.0919 ``` +If, in addition, you wish to assess how appropriate linear regression is for your data, you can calculate /R/[super 2] as well, via + +``` +auto [c0, c1, R2] = simple_ordinary_least_squares_with_R_squared(x, y); +``` + +It seems a number of definitions exist for /R/[super 2]; we use + +[$../graphs/r_squared_definition.svg] + +The fit is good if /R/[super 2] is close to 1. + [heading Performance] +There are two cases: When you want to compute /R/[super 2], and when you don't want to simultaneously compute /R/[super 2], although the cost of computing /R/[super 2] is not high: + +``` +----------------------------------------------------------------------------------------------------------------- +Benchmark Time Bytes/second +----------------------------------------------------------------------------------------------------------------- +BMSimpleOrdinaryLeastSquares/8 51.9 ns 588.476M/s +BMSimpleOrdinaryLeastSquares/16 112 ns 546.087M/s +BMSimpleOrdinaryLeastSquares/32 277 ns 440.823M/s +BMSimpleOrdinaryLeastSquares/64 608 ns 401.659M/s +BMSimpleOrdinaryLeastSquares/128 1276 ns 382.622M/s +BMSimpleOrdinaryLeastSquares/256 2606 ns 374.748M/s +BMSimpleOrdinaryLeastSquares/512 5266 ns 370.868M/s +BMSimpleOrdinaryLeastSquares/1024 10601 ns 368.466M/s +BMSimpleOrdinaryLeastSquares/2048 21243 ns 367.775M/s +BMSimpleOrdinaryLeastSquares/4096 42502 ns 367.631M/s +BMSimpleOrdinaryLeastSquares/8192 85239 ns 366.618M/s +BMSimpleOrdinaryLeastSquares/16384 169736 ns 368.22M/s +BMSimpleOrdinaryLeastSquares/32768 340220 ns 367.409M/s +BMSimpleOrdinaryLeastSquares/65536 678907 ns 368.247M/s +BMSimpleOrdinaryLeastSquares/131072 1357145 ns 368.422M/s +BMSimpleOrdinaryLeastSquares/262144 2720207 ns 367.635M/s +BMSimpleOrdinaryLeastSquares/524288 5430141 ns 368.332M/s +BMSimpleOrdinaryLeastSquares/1048576 10896708 ns 367.095M/s +BMSimpleOrdinaryLeastSquares/2097152 21797935 ns 367.047M/s +BMSimpleOrdinaryLeastSquares/4194304 43723059 ns 365.944M/s +BMSimpleOrdinaryLeastSquares/8388608 87229180 ns 366.864M/s +BMSimpleOrdinaryLeastSquares/16777216 174988864 ns 365.74M/s +BMSimpleOrdinaryLeastSquares_BigO 10.42 N +BMSimpleOrdinaryLeastSquares/8 52.4 ns 1.13779G/s +BMSimpleOrdinaryLeastSquares/16 122 ns 1002.14M/s +BMSimpleOrdinaryLeastSquares/32 307 ns 795.253M/s +BMSimpleOrdinaryLeastSquares/64 685 ns 712.628M/s +BMSimpleOrdinaryLeastSquares/128 1445 ns 675.805M/s +BMSimpleOrdinaryLeastSquares/256 2966 ns 658.488M/s +BMSimpleOrdinaryLeastSquares/512 6062 ns 644.35M/s +BMSimpleOrdinaryLeastSquares/1024 12166 ns 642.173M/s +BMSimpleOrdinaryLeastSquares/2048 24336 ns 642.064M/s +BMSimpleOrdinaryLeastSquares/4096 48862 ns 639.567M/s +BMSimpleOrdinaryLeastSquares/8192 98008 ns 637.708M/s +BMSimpleOrdinaryLeastSquares/16384 196394 ns 636.481M/s +BMSimpleOrdinaryLeastSquares/32768 392810 ns 636.434M/s +BMSimpleOrdinaryLeastSquares/65536 783903 ns 637.859M/s +BMSimpleOrdinaryLeastSquares/131072 1556741 ns 642.378M/s +BMSimpleOrdinaryLeastSquares/262144 3121184 ns 640.792M/s +BMSimpleOrdinaryLeastSquares/524288 6265681 ns 638.404M/s +BMSimpleOrdinaryLeastSquares/1048576 12421627 ns 644.076M/s +BMSimpleOrdinaryLeastSquares/2097152 24907611 ns 642.417M/s +BMSimpleOrdinaryLeastSquares/4194304 49773317 ns 642.934M/s +BMSimpleOrdinaryLeastSquares/8388608 100034750 ns 639.79M/s +BMSimpleOrdinaryLeastSquares/16777216 199477349 ns 641.685M/s +BMSimpleOrdinaryLeastSquares_BigO 11.90 N +BMSimpleOrdinaryLeastSquares_RMS 0 % +BMSimpleOrdinaryLeastSquaresWRSquared/8 69.2 ns 441.314M/s +BMSimpleOrdinaryLeastSquaresWRSquared/16 147 ns 415.939M/s +BMSimpleOrdinaryLeastSquaresWRSquared/32 356 ns 342.815M/s +BMSimpleOrdinaryLeastSquaresWRSquared/64 736 ns 331.749M/s +BMSimpleOrdinaryLeastSquaresWRSquared/128 1494 ns 326.765M/s +BMSimpleOrdinaryLeastSquaresWRSquared/256 3161 ns 308.909M/s +BMSimpleOrdinaryLeastSquaresWRSquared/512 6343 ns 307.94M/s +BMSimpleOrdinaryLeastSquaresWRSquared/1024 12707 ns 307.409M/s +BMSimpleOrdinaryLeastSquaresWRSquared/2048 25390 ns 307.699M/s +BMSimpleOrdinaryLeastSquaresWRSquared/4096 50820 ns 307.455M/s +BMSimpleOrdinaryLeastSquaresWRSquared/8192 101738 ns 307.161M/s +BMSimpleOrdinaryLeastSquaresWRSquared/16384 203033 ns 307.835M/s +BMSimpleOrdinaryLeastSquaresWRSquared/32768 403366 ns 309.894M/s +BMSimpleOrdinaryLeastSquaresWRSquared/65536 767080 ns 325.911M/s +BMSimpleOrdinaryLeastSquaresWRSquared/131072 1515010 ns 330.034M/s +BMSimpleOrdinaryLeastSquaresWRSquared/262144 2965539 ns 337.21M/s +BMSimpleOrdinaryLeastSquaresWRSquared/524288 5774329 ns 346.372M/s +BMSimpleOrdinaryLeastSquaresWRSquared/1048576 11384267 ns 351.371M/s +BMSimpleOrdinaryLeastSquaresWRSquared/2097152 22899097 ns 349.406M/s +BMSimpleOrdinaryLeastSquaresWRSquared/4194304 45923903 ns 348.423M/s +BMSimpleOrdinaryLeastSquaresWRSquared/8388608 92138186 ns 347.306M/s +BMSimpleOrdinaryLeastSquaresWRSquared/16777216 183263471 ns 349.226M/s +BMSimpleOrdinaryLeastSquaresWRSquared_BigO 10.94 N +BMSimpleOrdinaryLeastSquaresWRSquared_RMS 1 % +BMSimpleOrdinaryLeastSquaresWRSquared/8 68.7 ns 887.806M/s +BMSimpleOrdinaryLeastSquaresWRSquared/16 166 ns 734.816M/s +BMSimpleOrdinaryLeastSquaresWRSquared/32 385 ns 633.918M/s +BMSimpleOrdinaryLeastSquaresWRSquared/64 812 ns 601.394M/s +BMSimpleOrdinaryLeastSquaresWRSquared/128 1774 ns 550.424M/s +BMSimpleOrdinaryLeastSquaresWRSquared/256 3554 ns 549.562M/s +BMSimpleOrdinaryLeastSquaresWRSquared/512 7151 ns 546.25M/s +BMSimpleOrdinaryLeastSquaresWRSquared/1024 14335 ns 545.006M/s +BMSimpleOrdinaryLeastSquaresWRSquared/2048 28608 ns 546.163M/s +BMSimpleOrdinaryLeastSquaresWRSquared/4096 57228 ns 546.067M/s +BMSimpleOrdinaryLeastSquaresWRSquared/8192 113732 ns 549.537M/s +BMSimpleOrdinaryLeastSquaresWRSquared/16384 227686 ns 549.004M/s +BMSimpleOrdinaryLeastSquaresWRSquared/32768 453989 ns 550.668M/s +BMSimpleOrdinaryLeastSquaresWRSquared/65536 901696 ns 554.517M/s +BMSimpleOrdinaryLeastSquaresWRSquared/131072 1771910 ns 564.365M/s +BMSimpleOrdinaryLeastSquaresWRSquared/262144 3430961 ns 582.933M/s +BMSimpleOrdinaryLeastSquaresWRSquared/524288 6751237 ns 592.511M/s +BMSimpleOrdinaryLeastSquaresWRSquared/1048576 13544819 ns 590.639M/s +BMSimpleOrdinaryLeastSquaresWRSquared/2097152 27331142 ns 585.422M/s +BMSimpleOrdinaryLeastSquaresWRSquared/4194304 54944987 ns 582.425M/s +BMSimpleOrdinaryLeastSquaresWRSquared/8388608 109574257 ns 584.087M/s +BMSimpleOrdinaryLeastSquaresWRSquared/16777216 221449209 ns 578.003M/s +BMSimpleOrdinaryLeastSquaresWRSquared_BigO 13.17 N +BMSimpleOrdinaryLeastSquaresWRSquared_RMS 1 % +``` + diff --git a/include/boost/math/statistics/linear_regression.hpp b/include/boost/math/statistics/linear_regression.hpp index 503b01b24..f3e79cc42 100644 --- a/include/boost/math/statistics/linear_regression.hpp +++ b/include/boost/math/statistics/linear_regression.hpp @@ -11,17 +11,17 @@ #include #include #include +#include +#include namespace boost::math::statistics { template -auto ordinary_least_squares(RandomAccessContainer const & x, - RandomAccessContainer const & y) +auto simple_ordinary_least_squares(RandomAccessContainer const & x, + RandomAccessContainer const & y) { using Real = typename RandomAccessContainer::value_type; - using std::sqrt; - using std::abs; if (x.size() <= 1) { throw std::domain_error("At least 2 samples are required to perform a linear regression."); @@ -31,16 +31,65 @@ auto ordinary_least_squares(RandomAccessContainer const & x, { throw std::domain_error("The same number of samples must be in the independent and dependent variable."); } - typedef boost::math::policies::policy< - boost::math::policies::promote_float, - boost::math::policies::promote_double > - no_promote_policy; + auto [mu_x, mu_y, cov_xy] = boost::math::statistics::means_and_covariance(x, y); + + auto var_x = boost::math::statistics::variance(x); + + if (var_x <= 0) { + throw std::domain_error("Independent variable has no variance; this breaks linear regression."); + } - Real c0 = std::numeric_limits::quiet_NaN(); - Real c1 = std::numeric_limits::quiet_NaN(); + Real c1 = cov_xy/var_x; + Real c0 = mu_y - c1*mu_x; + return std::make_pair(c0, c1); } +template +auto simple_ordinary_least_squares_with_R_squared(RandomAccessContainer const & x, + RandomAccessContainer const & y) +{ + using Real = typename RandomAccessContainer::value_type; + if (x.size() <= 1) + { + throw std::domain_error("At least 2 samples are required to perform a linear regression."); + } + + if (x.size() != y.size()) + { + throw std::domain_error("The same number of samples must be in the independent and dependent variable."); + } + auto [mu_x, mu_y, cov_xy] = boost::math::statistics::means_and_covariance(x, y); + + auto var_x = boost::math::statistics::variance(x); + + if (var_x <= 0) { + throw std::domain_error("Independent variable has no variance; this breaks linear regression."); + } + + + Real c1 = cov_xy/var_x; + Real c0 = mu_y - c1*mu_x; + + Real squared_residuals = 0; + Real squared_mean_deviation = 0; + for(decltype(y.size()) i = 0; i < y.size(); ++i) { + squared_mean_deviation += (y[i] - mu_y)*(y[i]-mu_y); + Real ei = (c0 + c1*x[i]) - y[i]; + squared_residuals += ei*ei; + } + + Real Rsquared; + if (squared_mean_deviation == 0) { + // Then y = constant, so the linear regression is perfect. + Rsquared = 1; + } else { + Rsquared = 1 - squared_residuals/squared_mean_deviation; + } + + return std::make_tuple(c0, c1, Rsquared); +} + } #endif diff --git a/include/boost/math/statistics/univariate_statistics.hpp b/include/boost/math/statistics/univariate_statistics.hpp index 3f9b738a5..9b9096ce3 100644 --- a/include/boost/math/statistics/univariate_statistics.hpp +++ b/include/boost/math/statistics/univariate_statistics.hpp @@ -8,6 +8,7 @@ #include #include +#include #include namespace boost::math::statistics { diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index 52fc7563b..0e85ed55d 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -959,7 +959,7 @@ test-suite misc : [ run ljung_box_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run test_t_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run bivariate_statistics_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] - [ run least_squares_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] + [ run linear_regression_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run test_runs_test.cpp : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run lanczos_smoothing_test.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] [ run condition_number_test.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx17_if_constexpr cxx17_std_apply ] ] diff --git a/test/least_squares_test.cpp b/test/least_squares_test.cpp deleted file mode 100644 index b546206ea..000000000 --- a/test/least_squares_test.cpp +++ /dev/null @@ -1,37 +0,0 @@ -/* - * Copyright Nick Thompson, 2019 - * Use, modification and distribution are subject to 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) - */ - -#include "math_unit_test.hpp" -#include -#include -#include - -using boost::math::statistics::ordinary_least_squares; - -template -void test_line() -{ - std::vector x(128); - std::vector y(128); - Real expected_c0 = 7; - Real expected_c1 = 12; - for (size_t i = 0; i < x.size(); ++i) { - x[i] = i; - y[i] = expected_c0 + expected_c1*x[i]; - } - - auto [computed_c0, computed_c1] = ordinary_least_squares(x, y); - - CHECK_ULP_CLOSE(expected_c0, computed_c0, 10); - CHECK_ULP_CLOSE(expected_c1, computed_c1, 10); -} - -int main() -{ - test_line(); - return boost::math::test::report_errors(); -} diff --git a/test/linear_regression_test.cpp b/test/linear_regression_test.cpp new file mode 100644 index 000000000..9c3a4b5a3 --- /dev/null +++ b/test/linear_regression_test.cpp @@ -0,0 +1,79 @@ +/* + * Copyright Nick Thompson, 2019 + * Use, modification and distribution are subject to 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) + */ + +#include "math_unit_test.hpp" +#include +#include +#include + +using boost::math::statistics::simple_ordinary_least_squares; +using boost::math::statistics::simple_ordinary_least_squares_with_R_squared; + +template +void test_line() +{ + std::vector x(128); + std::vector y(128); + Real expected_c0 = 7; + Real expected_c1 = 12; + for (size_t i = 0; i < x.size(); ++i) { + x[i] = i; + y[i] = expected_c0 + expected_c1*x[i]; + } + + auto [computed_c0, computed_c1] = simple_ordinary_least_squares(x, y); + + CHECK_ULP_CLOSE(expected_c0, computed_c0, 0); + CHECK_ULP_CLOSE(expected_c1, computed_c1, 0); + + auto [computed_c0_R, computed_c1_R, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y); + + Real expected_Rsquared = 1; + CHECK_ULP_CLOSE(expected_c0, computed_c0, 0); + CHECK_ULP_CLOSE(expected_c1, computed_c1, 0); + CHECK_ULP_CLOSE(expected_Rsquared, Rsquared, 0); + +} + +template +void test_constant() +{ + std::vector x(128); + std::vector y(128); + Real expected_c0 = 7; + Real expected_c1 = 0; + for (size_t i = 0; i < x.size(); ++i) { + x[i] = i; + y[i] = expected_c0 + expected_c1*x[i]; + } + + auto [computed_c0, computed_c1] = simple_ordinary_least_squares(x, y); + + CHECK_ULP_CLOSE(expected_c0, computed_c0, 0); + CHECK_ULP_CLOSE(expected_c1, computed_c1, 0); + + auto [computed_c0_R, computed_c1_R, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y); + + Real expected_Rsquared = 1; + CHECK_ULP_CLOSE(expected_c0, computed_c0, 0); + CHECK_ULP_CLOSE(expected_c1, computed_c1, 0); + CHECK_ULP_CLOSE(expected_Rsquared, Rsquared, 0); + +} + + +int main() +{ + test_line(); + test_line(); + test_line(); + + test_constant(); + test_constant(); + test_constant(); + return boost::math::test::report_errors(); +} From 88f16b64a4a77441247d484ca351a3a56e03a6a4 Mon Sep 17 00:00:00 2001 From: Nick Thompson Date: Sun, 20 Oct 2019 20:26:32 -0400 Subject: [PATCH 3/9] Add permutation test. --- test/linear_regression_test.cpp | 40 +++++++++++++++++++++++++++++++++ 1 file changed, 40 insertions(+) diff --git a/test/linear_regression_test.cpp b/test/linear_regression_test.cpp index 9c3a4b5a3..ef4d07000 100644 --- a/test/linear_regression_test.cpp +++ b/test/linear_regression_test.cpp @@ -65,6 +65,42 @@ void test_constant() } +template +void test_permutation_invariance() +{ + std::vector x(256); + std::vector y(256); + std::mt19937_64 gen{123456}; + std::normal_distribution dis(0, 0.1); + + Real expected_c0 = -7.2; + Real expected_c1 = -13.5; + + x[0] = 0; + y[0] = expected_c0 + dis(gen); + for(size_t i = 1; i < x.size(); ++i) { + Real t = dis(gen); + x[i] = x[i-1] + t*t; + y[i] = expected_c0 + expected_c1*x[i] + dis(gen); + } + + auto [c0, c1, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y); + CHECK_MOLLIFIED_CLOSE(expected_c0, c0, 0.002); + CHECK_MOLLIFIED_CLOSE(expected_c1, c1, 0.002); + + int j = 0; + std::mt19937_64 gen1{12345}; + std::mt19937_64 gen2{12345}; + while(j++ < 10) { + std::shuffle(x.begin(), x.end(), gen1); + std::shuffle(y.begin(), y.end(), gen2); + auto [c0_, c1_, Rsquared_] = simple_ordinary_least_squares_with_R_squared(x, y); + + CHECK_ULP_CLOSE(c0, c0_, 65); + CHECK_ULP_CLOSE(c1, c1_, 65); + CHECK_ULP_CLOSE(Rsquared, Rsquared_, 65); + } +} int main() { @@ -75,5 +111,9 @@ int main() test_constant(); test_constant(); test_constant(); + + test_permutation_invariance(); + test_permutation_invariance(); + test_permutation_invariance(); return boost::math::test::report_errors(); } From e8effeb055f492d6758999aba4c81d802ded0eea Mon Sep 17 00:00:00 2001 From: NAThompson Date: Mon, 21 Oct 2019 09:16:21 -0400 Subject: [PATCH 4/9] Add tests of various scaling laws for simple ordinary least squares. --- test/linear_regression_test.cpp | 57 +++++++++++++++++++++++++++++++++ 1 file changed, 57 insertions(+) diff --git a/test/linear_regression_test.cpp b/test/linear_regression_test.cpp index ef4d07000..357a5ea80 100644 --- a/test/linear_regression_test.cpp +++ b/test/linear_regression_test.cpp @@ -102,6 +102,59 @@ void test_permutation_invariance() } } +template +void test_scaling_relations() +{ + std::vector x(256); + std::vector y(256); + std::mt19937_64 gen{123456}; + std::normal_distribution dis(0, 0.1); + + Real expected_c0 = 3.2; + Real expected_c1 = -13.5; + + x[0] = 0; + y[0] = expected_c0 + dis(gen); + for(size_t i = 1; i < x.size(); ++i) { + Real t = dis(gen); + x[i] = x[i-1] + t*t; + y[i] = expected_c0 + expected_c1*x[i] + dis(gen); + } + + auto [c0, c1, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y); + CHECK_MOLLIFIED_CLOSE(expected_c0, c0, 0.002); + CHECK_MOLLIFIED_CLOSE(expected_c1, c1, 0.002); + + // If y -> lambda y, then c0 -> lambda c0 and c1 -> lambda c1. + Real lambda = 6; + + for (auto& s : y) { + s *= lambda; + } + + auto [c0_lambda, c1_lambda, Rsquared_lambda] = simple_ordinary_least_squares_with_R_squared(x, y); + + CHECK_ULP_CLOSE(lambda*c0, c0_lambda, 20); + CHECK_ULP_CLOSE(lambda*c1, c1_lambda, 20); + CHECK_ULP_CLOSE(Rsquared, Rsquared_lambda, 3); + + // If x -> lambda x, then c0 -> c0 and c1 -> c1/lambda + for (auto& s : x) { + s *= lambda; + } + // Put y back into it's original state: + for (auto& s : y) { + s /= lambda; + } + auto [c0_, c1_, Rsquared_] = simple_ordinary_least_squares_with_R_squared(x, y); + + CHECK_ULP_CLOSE(c0, c0_, 50); + CHECK_ULP_CLOSE(c1, c1_*lambda, 50); + CHECK_ULP_CLOSE(Rsquared, Rsquared_, 50); + +} + + int main() { test_line(); @@ -115,5 +168,9 @@ int main() test_permutation_invariance(); test_permutation_invariance(); test_permutation_invariance(); + + test_scaling_relations(); + test_scaling_relations(); + test_scaling_relations(); return boost::math::test::report_errors(); } From c3a4b837d04aa23edf705c39a10c57ea66997d9a Mon Sep 17 00:00:00 2001 From: Nick Date: Tue, 22 Oct 2019 10:05:14 -0400 Subject: [PATCH 5/9] Restore default colors to the terminal after changing them for error messages [CI SKIP] --- test/math_unit_test.hpp | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/test/math_unit_test.hpp b/test/math_unit_test.hpp index 9fe49c7c3..dd664c1fd 100644 --- a/test/math_unit_test.hpp +++ b/test/math_unit_test.hpp @@ -126,18 +126,18 @@ int report_errors() { std::cerr << "\033[0;31mError count: " << detail::global_error_count; if (detail::total_ulp_distance > 0) { - std::cerr << ", total ulp distance = " << detail::total_ulp_distance << "\n"; + std::cerr << ", total ulp distance = " << detail::total_ulp_distance << "\n\033[0m"; } else { // else we overflowed the ULPs counter and all we could print is a bizarre negative number. - std::cerr << "\n"; + std::cerr << "\n\033[0m"; } detail::global_error_count = 0; detail::total_ulp_distance = 0; return 1; } - std::cout << "\x1B[32mNo errors detected.\n"; + std::cout << "\x1B[32mNo errors detected.\n\033[0m"; return 0; } From 9cb2968efbe7f56cab5b0c5e9f43fadb4bceadfd Mon Sep 17 00:00:00 2001 From: Peter Dimov Date: Thu, 24 Oct 2019 20:15:51 +0300 Subject: [PATCH 6/9] Remove fake boost_math library target; no longer required --- build/Jamfile.v2 | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/build/Jamfile.v2 b/build/Jamfile.v2 index 4951ffb8d..3537e9f5d 100644 --- a/build/Jamfile.v2 +++ b/build/Jamfile.v2 @@ -120,7 +120,4 @@ lib boost_math_c99l : ../src/tr1/$(C99_SOURCES)l.cpp pch [ check-target-builds ../config//has_long_double_support "long double support" : : no ] ; -# Fake 'library' target for dependency resolution purposes -alias boost_math ; - -boost-install boost_math_c99 boost_math_c99f boost_math_c99l boost_math_tr1 boost_math_tr1f boost_math_tr1l boost_math ; +boost-install boost_math_c99 boost_math_c99f boost_math_c99l boost_math_tr1 boost_math_tr1f boost_math_tr1l ; From 03489ffe088be6e0bcab4c4f31e33b676ad998db Mon Sep 17 00:00:00 2001 From: NAThompson Date: Fri, 25 Oct 2019 08:24:57 -0400 Subject: [PATCH 7/9] Ordinary least squares: Increase expected error rates slightly to get build to pass on Windows. --- test/linear_regression_test.cpp | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/test/linear_regression_test.cpp b/test/linear_regression_test.cpp index 357a5ea80..fb5bc6473 100644 --- a/test/linear_regression_test.cpp +++ b/test/linear_regression_test.cpp @@ -96,8 +96,8 @@ void test_permutation_invariance() std::shuffle(y.begin(), y.end(), gen2); auto [c0_, c1_, Rsquared_] = simple_ordinary_least_squares_with_R_squared(x, y); - CHECK_ULP_CLOSE(c0, c0_, 65); - CHECK_ULP_CLOSE(c1, c1_, 65); + CHECK_ULP_CLOSE(c0, c0_, 100); + CHECK_ULP_CLOSE(c1, c1_, 100); CHECK_ULP_CLOSE(Rsquared, Rsquared_, 65); } } @@ -122,8 +122,8 @@ void test_scaling_relations() } auto [c0, c1, Rsquared] = simple_ordinary_least_squares_with_R_squared(x, y); - CHECK_MOLLIFIED_CLOSE(expected_c0, c0, 0.002); - CHECK_MOLLIFIED_CLOSE(expected_c1, c1, 0.002); + CHECK_MOLLIFIED_CLOSE(expected_c0, c0, 0.005); + CHECK_MOLLIFIED_CLOSE(expected_c1, c1, 0.005); // If y -> lambda y, then c0 -> lambda c0 and c1 -> lambda c1. Real lambda = 6; @@ -134,8 +134,8 @@ void test_scaling_relations() auto [c0_lambda, c1_lambda, Rsquared_lambda] = simple_ordinary_least_squares_with_R_squared(x, y); - CHECK_ULP_CLOSE(lambda*c0, c0_lambda, 20); - CHECK_ULP_CLOSE(lambda*c1, c1_lambda, 20); + CHECK_ULP_CLOSE(lambda*c0, c0_lambda, 30); + CHECK_ULP_CLOSE(lambda*c1, c1_lambda, 30); CHECK_ULP_CLOSE(Rsquared, Rsquared_lambda, 3); // If x -> lambda x, then c0 -> c0 and c1 -> c1/lambda From 869949a657374a1a507fd1c8295ee7d4614dda27 Mon Sep 17 00:00:00 2001 From: NAThompson Date: Fri, 25 Oct 2019 08:49:36 -0400 Subject: [PATCH 8/9] Cut down on the warnings that I've introduced slowly over time --- include/boost/math/special_functions/beta.hpp | 113 +++++++++--------- .../cubic_spline_concept_test.cpp | 4 +- test/compile_test/cubic_spline_incl_test.cpp | 6 +- test/test_lambert_w_integrals_float128.cpp | 4 +- 4 files changed, 61 insertions(+), 66 deletions(-) diff --git a/include/boost/math/special_functions/beta.hpp b/include/boost/math/special_functions/beta.hpp index 53c451fa9..7435a4aab 100644 --- a/include/boost/math/special_functions/beta.hpp +++ b/include/boost/math/special_functions/beta.hpp @@ -150,7 +150,7 @@ T beta_imp(T a, T b, const lanczos::undefined_lanczos& l, const Policy& pol) // Regular cases start here: const T min_sterling = minimum_argument_for_bernoulli_recursion(); - + long shift_a = 0; long shift_b = 0; @@ -246,16 +246,16 @@ T ibeta_power_terms(T a, if((l1 * l2 > 0) || ((std::min)(a, b) < 1)) { // - // This first branch handles the simple cases where either: + // This first branch handles the simple cases where either: // - // * The two power terms both go in the same direction - // (towards zero or towards infinity). In this case if either - // term overflows or underflows, then the product of the two must - // do so also. - // *Alternatively if one exponent is less than one, then we - // can't productively use it to eliminate overflow or underflow - // from the other term. Problems with spurious overflow/underflow - // can't be ruled out in this case, but it is *very* unlikely + // * The two power terms both go in the same direction + // (towards zero or towards infinity). In this case if either + // term overflows or underflows, then the product of the two must + // do so also. + // *Alternatively if one exponent is less than one, then we + // can't productively use it to eliminate overflow or underflow + // from the other term. Problems with spurious overflow/underflow + // can't be ruled out in this case, but it is *very* unlikely // since one of the power terms will evaluate to a number close to 1. // if(fabs(l1) < 0.1) @@ -282,10 +282,10 @@ T ibeta_power_terms(T a, else if((std::max)(fabs(l1), fabs(l2)) < 0.5) { // - // Both exponents are near one and both the exponents are - // greater than one and further these two - // power terms tend in opposite directions (one towards zero, - // the other towards infinity), so we have to combine the terms + // Both exponents are near one and both the exponents are + // greater than one and further these two + // power terms tend in opposite directions (one towards zero, + // the other towards infinity), so we have to combine the terms // to avoid any risk of overflow or underflow. // // We do this by moving one power term inside the other, we have: @@ -438,7 +438,7 @@ T ibeta_power_terms(T a, T y, const boost::math::lanczos::undefined_lanczos& l, bool normalised, - const Policy& pol, + const Policy& pol, T prefix = 1, const char* = "boost::math::ibeta<%1%>(%1%, %1%, %1%)") { @@ -481,11 +481,11 @@ T ibeta_power_terms(T a, } return prefix * power1 * power2 * scaled_tgamma_no_lanczos(c, pol) / (scaled_tgamma_no_lanczos(a, pol) * scaled_tgamma_no_lanczos(b, pol)); } - + T power1 = pow(x, a); T power2 = pow(y, b); T bet = beta_imp(a, b, l, pol); - + if(!(boost::math::isnormal)(power1) || !(boost::math::isnormal)(power2) || !(boost::math::isnormal)(bet)) { int shift_c = shift_a + shift_b; @@ -630,7 +630,7 @@ T ibeta_series(T a, T b, T x, T s0, const boost::math::lanczos::undefined_lanczo shift_a = 1 + ltrunc(min_sterling - a); if (b < min_sterling) shift_b = 1 + ltrunc(min_sterling - b); - long shift_c = shift_a + shift_b; + T c = a + b; if ((shift_a == 0) && (shift_b == 0)) @@ -791,7 +791,7 @@ struct Pn_size { // This is likely to be enough for ~35-50 digit accuracy // but it's hard to quantify exactly: - BOOST_STATIC_CONSTANT(unsigned, value = + BOOST_STATIC_CONSTANT(unsigned, value = ::boost::math::max_factorial::value >= 100 ? 50 : ::boost::math::max_factorial::value >= ::boost::math::max_factorial::value ? 30 : ::boost::math::max_factorial::value >= ::boost::math::max_factorial::value ? 15 : 1); @@ -954,7 +954,7 @@ T binomial_ccdf(T n, T k, T x, T y) result = pow(x, start) * pow(y, n - start) * boost::math::binomial_coefficient(itrunc(n), itrunc(start)); if(result == 0) { - // OK, starting slightly above the mode didn't work, + // OK, starting slightly above the mode didn't work, // we'll have to sum the terms the old fashioned way: for(unsigned i = start - 1; i > k; --i) { @@ -1087,7 +1087,7 @@ T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_de *p_derivative = 1; return invert ? y : x; } - + if(p_derivative) { *p_derivative = a * pow(x, a - 1); @@ -1280,7 +1280,7 @@ T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_de invert = !invert; BOOST_MATH_INSTRUMENT_VARIABLE(invert); } - + if(b < 40) { if((floor(a) == a) && (floor(b) == b) && (a < (std::numeric_limits::max)() - 100) && (y != 1)) @@ -1413,7 +1413,7 @@ T ibeta_derivative_imp(T a, T b, T x, const Policy& pol) // if(x == 0) { - return (a > 1) ? 0 : + return (a > 1) ? 0 : (a == 1) ? 1 / boost::math::beta(a, b, pol) : policies::raise_overflow_error(function, 0, pol); } else if(x == 1) @@ -1433,7 +1433,7 @@ T ibeta_derivative_imp(T a, T b, T x, const Policy& pol) // Some forwarding functions that dis-ambiguate the third argument type: // template -inline typename tools::promote_args::type +inline typename tools::promote_args::type beta(RT1 a, RT2 b, const Policy&, const mpl::true_*) { BOOST_FPU_EXCEPTION_GUARD @@ -1441,16 +1441,16 @@ inline typename tools::promote_args::type typedef typename policies::evaluation::type value_type; typedef typename lanczos::lanczos::type evaluation_type; typedef typename policies::normalise< - Policy, - policies::promote_float, - policies::promote_double, + Policy, + policies::promote_float, + policies::promote_double, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; return policies::checked_narrowing_cast(detail::beta_imp(static_cast(a), static_cast(b), evaluation_type(), forwarding_policy()), "boost::math::beta<%1%>(%1%,%1%)"); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type beta(RT1 a, RT2 b, RT3 x, const mpl::false_*) { return boost::math::beta(a, b, x, policies::policy<>()); @@ -1463,7 +1463,7 @@ inline typename tools::promote_args::type // and forward to the implementation functions: // template -inline typename tools::promote_args::type +inline typename tools::promote_args::type beta(RT1 a, RT2 b, A arg) { typedef typename policies::is_policy::type tag; @@ -1471,23 +1471,23 @@ inline typename tools::promote_args::type } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type beta(RT1 a, RT2 b) { return boost::math::beta(a, b, policies::policy<>()); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type beta(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args::type result_type; typedef typename policies::evaluation::type value_type; typedef typename policies::normalise< - Policy, - policies::promote_float, - policies::promote_double, + Policy, + policies::promote_float, + policies::promote_double, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; @@ -1495,92 +1495,92 @@ inline typename tools::promote_args::type } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type betac(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args::type result_type; typedef typename policies::evaluation::type value_type; typedef typename policies::normalise< - Policy, - policies::promote_float, - policies::promote_double, + Policy, + policies::promote_float, + policies::promote_double, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; return policies::checked_narrowing_cast(detail::ibeta_imp(static_cast(a), static_cast(b), static_cast(x), forwarding_policy(), true, false), "boost::math::betac<%1%>(%1%,%1%,%1%)"); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type betac(RT1 a, RT2 b, RT3 x) { return boost::math::betac(a, b, x, policies::policy<>()); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type ibeta(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args::type result_type; typedef typename policies::evaluation::type value_type; typedef typename policies::normalise< - Policy, - policies::promote_float, - policies::promote_double, + Policy, + policies::promote_float, + policies::promote_double, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; return policies::checked_narrowing_cast(detail::ibeta_imp(static_cast(a), static_cast(b), static_cast(x), forwarding_policy(), false, true), "boost::math::ibeta<%1%>(%1%,%1%,%1%)"); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type ibeta(RT1 a, RT2 b, RT3 x) { return boost::math::ibeta(a, b, x, policies::policy<>()); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type ibetac(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args::type result_type; typedef typename policies::evaluation::type value_type; typedef typename policies::normalise< - Policy, - policies::promote_float, - policies::promote_double, + Policy, + policies::promote_float, + policies::promote_double, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; return policies::checked_narrowing_cast(detail::ibeta_imp(static_cast(a), static_cast(b), static_cast(x), forwarding_policy(), true, true), "boost::math::ibetac<%1%>(%1%,%1%,%1%)"); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type ibetac(RT1 a, RT2 b, RT3 x) { return boost::math::ibetac(a, b, x, policies::policy<>()); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type ibeta_derivative(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args::type result_type; typedef typename policies::evaluation::type value_type; typedef typename policies::normalise< - Policy, - policies::promote_float, - policies::promote_double, + Policy, + policies::promote_float, + policies::promote_double, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; return policies::checked_narrowing_cast(detail::ibeta_derivative_imp(static_cast(a), static_cast(b), static_cast(x), forwarding_policy()), "boost::math::ibeta_derivative<%1%>(%1%,%1%,%1%)"); } template -inline typename tools::promote_args::type +inline typename tools::promote_args::type ibeta_derivative(RT1 a, RT2 b, RT3 x) { return boost::math::ibeta_derivative(a, b, x, policies::policy<>()); @@ -1593,8 +1593,3 @@ inline typename tools::promote_args::type #include #endif // BOOST_MATH_SPECIAL_BETA_HPP - - - - - diff --git a/test/compile_test/cubic_spline_concept_test.cpp b/test/compile_test/cubic_spline_concept_test.cpp index 4872218aa..d004c6517 100644 --- a/test/compile_test/cubic_spline_concept_test.cpp +++ b/test/compile_test/cubic_spline_concept_test.cpp @@ -4,12 +4,12 @@ // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) // #include -#include +#include void compile_and_link_test() { boost::math::concepts::std_real_concept data[] = { 1, 2, 3 }; - boost::math::cubic_b_spline s(data, 3, 2, 1), s2; + boost::math::interpolators::cardinal_cubic_b_spline s(data, 3, 2, 1), s2; s(1.0); s.prime(1.0); } diff --git a/test/compile_test/cubic_spline_incl_test.cpp b/test/compile_test/cubic_spline_incl_test.cpp index bc69f657b..ec08f139e 100644 --- a/test/compile_test/cubic_spline_incl_test.cpp +++ b/test/compile_test/cubic_spline_incl_test.cpp @@ -3,10 +3,10 @@ // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) // -// Basic sanity check that header +// A sanity check that this file // #includes all the files that it needs to. // -#include +#include // // Note this header includes no other headers, this is // important if this test is to be meaningful: @@ -16,7 +16,7 @@ void compile_and_link_test() { double data[] = { 1, 2, 3 }; - boost::math::cubic_b_spline s(data, 3, 2, 1), s2; + boost::math::interpolators::cardinal_cubic_b_spline s(data, 3, 2, 1), s2; check_result(s(1.0)); check_result(s.prime(1.0)); } diff --git a/test/test_lambert_w_integrals_float128.cpp b/test/test_lambert_w_integrals_float128.cpp index 1bc774318..763717cdc 100644 --- a/test/test_lambert_w_integrals_float128.cpp +++ b/test/test_lambert_w_integrals_float128.cpp @@ -18,7 +18,6 @@ #define BOOST_TEST_MAIN #define BOOST_LIB_DIAGNOSTIC "on" // Report library file details. #include // Boost.Test -// #include // Boost.Test #include #include @@ -194,12 +193,13 @@ BOOST_AUTO_TEST_CASE( integrals ) using boost::math::policies::ignore_error; using boost::math::policies::throw_on_error; + /* typedef policy< domain_error, overflow_error > no_throw_policy; - /* + // Experiment with better diagnostics. typedef float Real; From d87a27ae664d593cf1d4991827d5650f5ef3a840 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sat, 26 Oct 2019 11:03:35 +0100 Subject: [PATCH 9/9] Update version number in docs. 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2 +- doc/html/math_toolkit/roots_noderiv/root_termination.html | 2 +- doc/html/math_toolkit/rounding.html | 2 +- doc/html/math_toolkit/rounding/modf.html | 2 +- doc/html/math_toolkit/rounding/round.html | 2 +- doc/html/math_toolkit/rounding/trunc.html | 2 +- doc/html/math_toolkit/runs_test.html | 2 +- doc/html/math_toolkit/sf_beta.html | 2 +- doc/html/math_toolkit/sf_beta/beta_derivative.html | 2 +- doc/html/math_toolkit/sf_beta/beta_function.html | 2 +- doc/html/math_toolkit/sf_beta/ibeta_function.html | 2 +- doc/html/math_toolkit/sf_beta/ibeta_inv_function.html | 2 +- doc/html/math_toolkit/sf_erf.html | 2 +- doc/html/math_toolkit/sf_erf/error_function.html | 2 +- doc/html/math_toolkit/sf_erf/error_inv.html | 2 +- doc/html/math_toolkit/sf_gamma.html | 2 +- doc/html/math_toolkit/sf_gamma/digamma.html | 2 +- doc/html/math_toolkit/sf_gamma/gamma_derivatives.html | 2 +- doc/html/math_toolkit/sf_gamma/gamma_ratios.html | 2 +- doc/html/math_toolkit/sf_gamma/igamma.html | 2 +- doc/html/math_toolkit/sf_gamma/igamma_inv.html | 2 +- doc/html/math_toolkit/sf_gamma/lgamma.html | 2 +- doc/html/math_toolkit/sf_gamma/polygamma.html | 2 +- doc/html/math_toolkit/sf_gamma/tgamma.html | 2 +- doc/html/math_toolkit/sf_gamma/trigamma.html | 2 +- doc/html/math_toolkit/sf_implementation.html | 2 +- doc/html/math_toolkit/sf_poly.html | 2 +- doc/html/math_toolkit/sf_poly/cardinal_b_splines.html | 2 +- doc/html/math_toolkit/sf_poly/chebyshev.html | 2 +- doc/html/math_toolkit/sf_poly/gegenbauer.html | 2 +- doc/html/math_toolkit/sf_poly/hermite.html | 2 +- doc/html/math_toolkit/sf_poly/jacobi.html | 2 +- doc/html/math_toolkit/sf_poly/laguerre.html | 2 +- doc/html/math_toolkit/sf_poly/legendre.html | 2 +- doc/html/math_toolkit/sf_poly/legendre_stieltjes.html | 2 +- doc/html/math_toolkit/sf_poly/sph_harm.html | 2 +- doc/html/math_toolkit/sign_functions.html | 2 +- doc/html/math_toolkit/signal_statistics.html | 2 +- doc/html/math_toolkit/sinc.html | 2 +- doc/html/math_toolkit/sinc/sinc_overview.html | 2 +- doc/html/math_toolkit/sinc/sinc_pi.html | 2 +- doc/html/math_toolkit/sinc/sinhc_pi.html | 2 +- doc/html/math_toolkit/spec.html | 2 +- doc/html/math_toolkit/special_tut.html | 2 +- doc/html/math_toolkit/special_tut/special_tut_impl.html | 2 +- doc/html/math_toolkit/special_tut/special_tut_test.html | 2 +- doc/html/math_toolkit/specified_typedefs.html | 2 +- doc/html/math_toolkit/stat_tut.html | 2 +- doc/html/math_toolkit/stat_tut/dist_params.html | 2 +- doc/html/math_toolkit/stat_tut/overview.html | 2 +- doc/html/math_toolkit/stat_tut/overview/complements.html | 2 +- doc/html/math_toolkit/stat_tut/overview/generic.html | 2 +- doc/html/math_toolkit/stat_tut/overview/headers.html | 2 +- doc/html/math_toolkit/stat_tut/overview/objects.html | 2 +- doc/html/math_toolkit/stat_tut/overview/parameters.html | 2 +- doc/html/math_toolkit/stat_tut/overview/summary.html | 2 +- doc/html/math_toolkit/stat_tut/variates.html | 2 +- doc/html/math_toolkit/stat_tut/weg.html | 2 +- doc/html/math_toolkit/stat_tut/weg/binom_eg.html | 2 +- .../math_toolkit/stat_tut/weg/binom_eg/binom_conf.html | 2 +- .../math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html | 2 +- .../stat_tut/weg/binom_eg/binomial_coinflip_example.html | 2 +- .../stat_tut/weg/binom_eg/binomial_quiz_example.html | 2 +- doc/html/math_toolkit/stat_tut/weg/c_sharp.html | 2 +- doc/html/math_toolkit/stat_tut/weg/cs_eg.html | 2 +- .../math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html | 2 +- doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html | 2 +- doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html | 2 +- doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html | 2 +- doc/html/math_toolkit/stat_tut/weg/error_eg.html | 2 +- doc/html/math_toolkit/stat_tut/weg/f_eg.html | 2 +- doc/html/math_toolkit/stat_tut/weg/find_eg.html | 2 +- .../stat_tut/weg/find_eg/find_location_eg.html | 2 +- .../stat_tut/weg/find_eg/find_mean_and_sd_eg.html | 2 +- .../math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html | 2 +- doc/html/math_toolkit/stat_tut/weg/geometric_eg.html | 2 +- .../math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html | 2 +- doc/html/math_toolkit/stat_tut/weg/nag_library.html | 2 +- doc/html/math_toolkit/stat_tut/weg/nccs_eg.html | 2 +- .../math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html | 2 +- doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html | 2 +- .../stat_tut/weg/neg_binom_eg/neg_binom_conf.html | 2 +- .../stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html | 2 +- .../weg/neg_binom_eg/negative_binomial_example1.html | 2 +- .../weg/neg_binom_eg/negative_binomial_example2.html | 2 +- doc/html/math_toolkit/stat_tut/weg/normal_example.html | 2 +- .../stat_tut/weg/normal_example/normal_misc.html | 2 +- doc/html/math_toolkit/stat_tut/weg/st_eg.html | 2 +- doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html | 2 +- .../stat_tut/weg/st_eg/tut_mean_intervals.html | 2 +- .../math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html | 2 +- .../math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html | 2 +- .../stat_tut/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/univariate_statistics.html | 2 +- doc/html/math_toolkit/value_op.html | 2 +- doc/html/math_toolkit/vector_barycentric.html | 2 +- doc/html/math_toolkit/whittaker_shannon.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 | 6 +++--- 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/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 | 2 +- 452 files changed, 487 insertions(+), 487 deletions(-) diff --git a/doc/html/backgrounders.html b/doc/html/backgrounders.html index 19111d313..8a04825f1 100644 --- a/doc/html/backgrounders.html +++ b/doc/html/backgrounders.html @@ -4,8 +4,8 @@ Chapter 22. Backgrounders - - + + diff --git a/doc/html/constants.html b/doc/html/constants.html index 6d659906c..718ed2246 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 2f193b57f..b8397b945 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 1a4e69c9b..60fee7208 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 b7e0434d0..581adbfbb 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/gcd_lcm.html b/doc/html/gcd_lcm.html index c949d418f..510bc1436 100644 --- a/doc/html/gcd_lcm.html +++ b/doc/html/gcd_lcm.html @@ -4,8 +4,8 @@ Chapter 17. Integer Utilities (Greatest Common Divisor and Least Common Multiple) - - + + diff --git a/doc/html/index.html b/doc/html/index.html index f86011b23..e42591191 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -1,10 +1,10 @@ -Math Toolkit 2.10.0 +Math Toolkit 2.11.0 - + @@ -22,7 +22,7 @@

-Math Toolkit 2.10.0

+Math Toolkit 2.11.0

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 d60ee91f7..4e9dea719 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 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 9312d9d23..baa52c531 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 L N O P R S T U V W

diff --git a/doc/html/indexes/s04.html b/doc/html/indexes/s04.html index 26c4733a2..a78d5288c 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

diff --git a/doc/html/indexes/s05.html b/doc/html/indexes/s05.html index bb76e1c4e..b5fa412af 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

diff --git a/doc/html/internals.html b/doc/html/internals.html index 662fc3f5e..334337747 100644 --- a/doc/html/internals.html +++ b/doc/html/internals.html @@ -4,8 +4,8 @@ Chapter 18. Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools - - + + diff --git a/doc/html/interpolation.html b/doc/html/interpolation.html index 1a5691129..bebd64331 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 594bd1ee8..7be27d8c9 100644 --- a/doc/html/inverse_complex.html +++ b/doc/html/inverse_complex.html @@ -4,8 +4,8 @@ Chapter 14. Complex Number Functions - - + + diff --git a/doc/html/math_toolkit/acknowledgement.html b/doc/html/math_toolkit/acknowledgement.html index d3fc13759..dda44858a 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 374349d81..1118cf248 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 23c91c1fb..b4e6b2e69 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 980855399..777bef9d4 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 df7f30704..7de8925cf 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 f1e68a98d..16a274751 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 45590c2a9..2f43f0765 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 addff2296..2d8f5d677 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 222d3f52e..e1f11a3c6 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 e11dcc068..e96a95a68 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 6f43d51f2..db947b639 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 610d7e545..9562ad9a4 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 f310b5ade..a50324eab 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 8d0fc941d..a75aef8bd 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 97508e239..e61413fa7 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 20d8df822..35678ffff 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 44ac3d210..77e0d0c88 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 9684e6225..ec7476da4 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 fb60eb4ff..2d756ad38 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 8ab116704..8a1d11f21 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 bb80100be..981b7bda6 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 734880bde..425526d00 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 cfb6f5184..edd90802c 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 7f72c4f8b..ff78d0bc7 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 f6a0a5739..38817a800 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 86428bd57..0f0774d26 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 c8a6a1074..96756e744 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/bivariate_statistics.html b/doc/html/math_toolkit/bivariate_statistics.html index 425780a88..c741300bf 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 2449cfce8..328d9c0f8 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 118e9c14b..815316296 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 5492c608f..c0c9d10d3 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 5f4c3b592..f2f550daf 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 961514441..02af18f10 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 24dfb1342..285329247 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 1de7f7b63..b3ae01d2b 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 10c0ac9c9..dacb98c68 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 687532517..aa23d60f8 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 ac7dc864f..8185d848f 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 cd03af348..de866c232 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 dcb217604..a5c9f7571 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 267dc0056..37dfdf6f4 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 2f649f896..7cd1b8fec 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 739bb93d9..af0ee0bf9 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 3d2242d7d..8d191d827 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 00a06a0fd..7d4352778 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 3f66451c8..5e8af4325 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 601d7e4c2..4bae06c08 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 a6c48909a..ac3e3576f 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 7b35db92b..16c16d7dd 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 952dcd2c6..0f5c19846 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/diff.html b/doc/html/math_toolkit/diff.html index 0dac95356..a259e7c58 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 18b5f95ca..661d30206 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 e2b448f1d..c3f154bdc 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 1e04ac4cf..2ec8c16e1 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 10a69a89a..f30747abb 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 2ba848629..370394013 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 c66dcdce3..088300ae8 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 98d78bd58..cbfc5b306 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 aa4f17a9c..2d030ad8c 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 5eebf45c0..9c480cc61 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 0fba757db..e0c2fac60 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 018946602..60293c706 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 7662c060e..25e46c838 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 a54bc8008..b070f0784 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 3b48dd978..f550055cd 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 4b8fc27ec..81b87c67f 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 53de75b5e..7bb28bbd8 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 3d9c4a05e..d68d86545 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 87aa53ed3..249e011e3 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 a51a5d8fb..4b9e5059b 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 509e6ce08..c465fd39c 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 34156793b..7c8e210fd 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 578807109..4e3f3411c 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 95d525ba8..4f0ca9fbd 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/laplace_dist.html b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html index 58758b71d..bd26b32bf 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 416e3b8c5..07cbd9c6e 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 25f618e49..c0ebdfbea 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 423dc405a..81d40c472 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 3e7ddfb51..d5871a666 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 73049f69c..45257cb59 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 bd74427d3..3041d254e 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 cef880933..31d401f61 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 763230814..41971cc81 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 6b0a4a0d1..c2d9a7bc2 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 8eb2357f8..e0a7e28c8 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 325a83d46..dc854c6d0 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 9f75ec81e..5d7956192 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 431d01217..8cc84d827 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 ebecebb6c..3427fa854 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 9abb3695f..027a7df21 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 7ae6f529f..5b4674638 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 0fd0e03cb..7c5c9ce36 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 16a3fc148..efa02f7af 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 be14df340..460a623ac 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 eb97b13aa..b7d5311ca 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 6434039c9..8487f61b2 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 b663428ce..2088cc13d 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 2adab0967..58d63bd5d 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 8237558ce..4dd7159c8 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 363ac070f..222b8886e 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 255756262..4bdee76d2 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 990b55eda..fa057182c 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 adec2507c..dcbeddcd0 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 cdf4127e7..abc0950f9 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 19ad5cd77..27a2dcfa8 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 6eeb126d2..51f87f01c 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 66a8c1eaf..c122b58b3 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 60fc2826c..5d446b730 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 55703c4a5..781cad8b0 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 6d064cc46..8f6dbd38c 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 7653d2793..48a24e8cf 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 ad6e3574d..c2caea64e 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 864b02bef..a4aae171d 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 4d8eaedaf..2a1f400a9 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 931e60e3d..80926754a 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 7818954aa..e6c271a55 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 3ca56f9d2..b27a9de1f 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 889629d4d..f2069da97 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 56ee1f40e..48deca227 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 f49a7a8b4..dde2649a3 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 3cf089b85..438b9d2ca 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 aec433446..2680380cb 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 39ac415bb..c4637a26b 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 9c983cb52..fa6cb651f 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 fca311b04..61197bff2 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 4b87b8677..d5ba1a7d6 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 c2f2953a7..b5dcb42b3 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 0b553cdb6..247285948 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 0e0de67e5..1aa6ad669 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 190a5dcb6..01705bcf8 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 16d968f0a..32f5f96fb 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 12d3051ec..2d5fd5818 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 cf22ada88..bb2e9d1df 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 940a0af7b..a2195a89a 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 183a24a8b..3874b45e6 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 b48c07db4..cd9e70c06 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 c1537e46e..a257fa6f1 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 1de20efa1..954ae2065 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 fc8a413cf..54532c544 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 1f66a3a38..10f2e958e 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 e22f6d1a1..dd4c839d5 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 37e0e0eb1..7d35645f5 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 0b9c621a3..e2e709f2d 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 2f9dcf3f6..5fa17bf0d 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 2882d229c..bc076d701 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 809e80802..632d73dec 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 bfdfccd49..956641865 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 cc9e42a4d..6ad071938 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 a4092995a..27dadb52e 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 79c2192e9..33342ed04 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 202154026..d9e8d9580 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 6dc654438..0481bab72 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 d8fda5037..6a8bd5a0c 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 6cc4a07cc..804a1d4e4 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 a154deab5..585936fa4 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 80427e746..c10982357 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 e68ca40c0..b6697ceae 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 6f09fc73a..3168d7fb1 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 00558bc04..02bc3dc4b 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 90b37c86c..e94eddc05 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 c7899ed20..2015849a9 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 8ca64ce79..8ce170c2a 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 24946e604..c098e2155 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 89cd318b4..25082c75d 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 43f096cd2..56276771c 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 5113fb826..2717bce81 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 be17d60f4..6b144f357 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/cf.html b/doc/html/math_toolkit/internals/cf.html index 7925a5cf0..72fb7ebeb 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/error_test.html b/doc/html/math_toolkit/internals/error_test.html index 8b75dfe20..3a5bcb62f 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/minimax.html b/doc/html/math_toolkit/internals/minimax.html index 95e8a3a10..b5323db61 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 59291953e..f65f303cb 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 09b2badbe..b6abd87d4 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/test_data.html b/doc/html/math_toolkit/internals/test_data.html index 1f1d68e70..01b70d5b3 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 be6aff457..3708bab8f 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 f90b05d50..f03b8b97f 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 0d5e03e66..3ba7bc5cf 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 9c9801410..286184b98 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 b9e64a009..981894c5a 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 495a941c5..9aa02c6ec 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 7a4149b65..20d2af152 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 e16a22633..fa1586ce3 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 185a993f4..94cc4ac22 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 94b6eb194..6fd4dcc79 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 0e83bf563..171d52cd5 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 da4c6e382..36068f6b3 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 a02b6be3b..d7a78955f 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 1d9d22566..bc000eac6 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 860764fd8..e2e18391f 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 55b60e2b9..4de29f5ef 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 da6a72ab8..01c9e70ce 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 45d112635..5e7adc1bb 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 afd6827fe..d95f26f8b 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 e54a7813a..c186dc8e9 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 c9b4aee88..2b0022552 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 ac257c8c1..92bf67b0a 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 5c257fb14..36e19030d 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 ce08584f3..ecd3a0cd5 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 b281b55f9..979884d3e 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/lambert_w.html b/doc/html/math_toolkit/lambert_w.html index 460796751..0e88841a2 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 5966b7ad6..2c3ed33be 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/ljung_box.html b/doc/html/math_toolkit/ljung_box.html index d9b92fd2d..252747a57 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 5e50d1f2a..8505ea42f 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 ca512823d..71285eb96 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 d8669830d..14bee94f9 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 8c9f8945a..7bfa4433e 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 b10665a2b..b78861932 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 f57bdd75d..2c93fb9f5 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 7e219b86e..4f5d5f26d 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/mem_typedef.html b/doc/html/math_toolkit/mem_typedef.html index 587fdf9ad..e9e9f7fe8 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 a4b8b56f3..f5731b005 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 5230528c3..430470df7 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 bc5e3a0b3..7549d1f0d 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 1b475c6c6..92f89ed9f 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 6bbb99f3c..dbf45024d 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 f56f45b01..427524219 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 d7737e9fa..535f6f653 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 0b68c81fe..816380b82 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 2a1d808b7..1949c87c2 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 f108bcc0d..677517960 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 3add5db7b..bd684eda7 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 adc87e313..788870953 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 cebb19e58..18399a655 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 1aa671272..a9777c941 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 d792506ca..83bcd5ae8 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 b9b4d9763..9137fe0e3 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/primes.html b/doc/html/math_toolkit/number_series/primes.html index 7fe6ea7e7..37ed36477 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 394dbcc3b..f4168a421 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 78a3cd7c4..e178951d3 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 4980e52ee..cf13bf65e 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 41545d49e..48c6522f6 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 a25a73176..1fab39044 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 374d4c325..28d1af9cc 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 e1c1720c9..33d7e5c49 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 889697e62..d10ba34ed 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 810af6022..183b104d5 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 3e47b100d..51cdc79dc 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 633abf49d..12e16c660 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 5bfb03517..4e79b013b 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 60a3309b1..12c64542b 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 905a31b7b..06e3fd847 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 76b9d0ab1..4ecfdd21c 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 3608b3da1..a162c9a6d 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 c794b1114..46b52f777 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/perf_over1.html b/doc/html/math_toolkit/perf_over1.html index 644052d2d..b8ff0806f 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 b7de2c8b4..4a09733c2 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 e6aa73e65..645bd6f34 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 a9d79f660..6c0187ea3 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 9e79ebca3..dc262af04 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 d22d02fdc..0637cbbed 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 fb8a70068..a72b0edd3 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 92e87e045..36a57687a 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 3cbb91434..6d8778828 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 92ac300d6..98a5ef390 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 2de43477e..45f5514d7 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 b8225a84e..339b90b81 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 e5c0bcc32..3c3c6b229 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 e307597d4..af1083e6d 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 1df38e721..254f348be 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 a13fffe7e..b30efa454 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 1453a2629..56f9a2a23 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 47797b204..5f72f01a8 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 b742c8196..fa538994b 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 06a3a085c..634415b63 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 c13401863..3b3e4e50d 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 a5a52db4e..8c760baa3 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 f6ed275fa..cebe4e1fa 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 958360565..829f983ed 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 286d40115..51b2daf93 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 a78b5edca..8f5f69d3c 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 a66d859ee..e9b77994a 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 96713b610..d6623f131 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 ae60b3567..9cc0f6fc0 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 d5c4697cb..ae632f0d2 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 c573e17a5..c5d9892fe 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 12897842e..652b6c20a 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 665fd37d3..a397cbe19 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/sin_pi.html b/doc/html/math_toolkit/powers/sin_pi.html index dc7f380d3..bcfc193d5 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 f1138d9db..89948041b 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 a4d396ce7..045cb783d 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 2890f9bd6..d7f2de64f 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 58ea95867..9859fa563 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 ea7286ca4..465f6e738 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 cc1122be5..732ecf4ae 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 e1b252909..f511b4c5b 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 c483deeae..1e8dc9084 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 2b655905c..875a64610 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 dbba55cf1..022b42cc4 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/rational.html b/doc/html/math_toolkit/rational.html index de533257f..8c8166b5b 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 77053d483..32e282008 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 10c70f8ad..867aac568 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 ffd731c01..2a9f6edc6 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 89ca298ce..e4facc6f6 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 2bfaf27d3..069eb5008 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 39032526b..416d88671 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 a76eee09e..a0d5535f2 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 1ef1b077a..1a3e912c0 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 32030aa0c..f0a7f2c15 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 Algoritghms - + 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 be92169fe..403265b36 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 579b1f19d..f7b1f2a18 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 5de678a52..e86d36598 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 f70a8e18a..e47dc9ac4 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 a6a8acb09..0abe94cc6 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 86306eab6..7ff6a1707 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 c7b85b73f..41f374fc8 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 b88019ced..7a900bb3b 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 2a689b10f..1cd100591 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 1c078be4b..cc0bcd37e 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 4be2bfd25..47f4e0662 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 b5803ec24..b863da3d8 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 57692ccb4..a633df8fa 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 763000c98..53b94e26e 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 1733f7cf4..acb1eb339 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 d30881a36..27f33a046 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 7e62b3672..418ca6446 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 de083d55d..998ebc64d 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 53fad3f0c..e8c473a3a 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 3c8e4168e..d09c1ff03 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 7ed579dd4..64af3bec6 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 11a9c3e13..ab310076b 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 fd561b6f4..fafc1328b 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 b0953a2f2..669179c95 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 e4ef6ec1d..6148acbc9 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 99f6885bd..1ab35536f 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 4d676fc0d..6e2277b1f 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 980890f65..5f348c15d 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 4c4155259..a74515c89 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 5ab4ebb62..a2278db63 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 f769d1a09..23369b2c9 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 db12958d0..2890e418f 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 e26c85a5a..15ef01f5f 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 7a3557227..68b2b1b03 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 85c37bd64..6b50ecd39 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 3bbcac587..2c2aeba1a 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 bff2d38ce..2da2dc90f 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 e5c1b886e..a61d34d30 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 f571f70fb..5f5478d05 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 618388379..357f14106 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 c2e9cf258..91c8105ae 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 1ace7f393..9c76afad5 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 5264d28e1..98ea1f9a2 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 821dcabfe..f463fc451 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 7640f98da..0386e624b 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 423708036..f374cba6a 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 af6fc687a..9bfa3487b 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 fd988e2a1..e7cad7f17 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 7787aedff..0320553cf 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 4868c4690..4634a1912 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 76b8d3f60..fe1cbaa1e 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 e5b63a8fb..d18c8f720 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 a19386da7..a8714428a 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 9459fd07e..c5f59d1bf 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 15ec92957..cd0163fee 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 4426ab22f..23c20ebc2 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 5994b74c9..10d0d1e43 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 d0b23f289..5af8c366c 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 69b58ff32..ac706fdfd 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 c3274c368..05cca2eb8 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 fc5565e09..77c2db14a 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 fb85a3085..1f3dd4f85 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 13a3e35d5..e1c43dcd4 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 32126e8f8..fc832c599 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 6807421e9..85b6f6037 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 c356f96bb..9484d29db 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 124511fb0..f5f30940c 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 e542f7e51..c9917a342 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 5570a127b..1afd058cc 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 81926bfa9..55361988b 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 e38a9c4d7..abeea9c38 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 1ecda3644..a53465fea 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 e8f15e69e..02bd88756 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 8d4e75f7a..0f2db8569 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 124d1864a..25e97e57d 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 a0c9f4972..5d71ae4f0 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 2d1dff6df..bff319c56 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 9f7424fea..7b62ee7c9 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 88f50569a..ba5ff8453 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 64a221553..1aa41d6b1 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 45837d2b7..ce0cac74e 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 fe5a24965..5ded12e3b 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 8f5301c99..13ad7c19e 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 4860d1a43..8554cb823 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 6e6206a17..e3c8a9489 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 6dbf90e51..2e49c93af 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 83eb9f257..b866b0395 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 8979e65cf..ea46b790f 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 31e3d6de0..ce1382a45 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 3b270f5d8..54d85571c 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 63be0ed0b..ecf1047c0 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 cf74a3053..a4ce21012 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 86f75988a..2e6cdb7ce 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 bbfdc20eb..719f338b2 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 0fc3aa281..44ce5fef4 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 3974d59c3..e161da804 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 9f144f051..bedd2cd96 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 37e183f98..5675a2484 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 d8b8fcd69..929bd2d6d 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 f3bc5ff9a..781a7b70c 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 983ad8b13..122696eef 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 c04c13bea..0270e2672 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 74ee454d6..27564d099 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 767581263..555cd75ba 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 aeeeb5356..36af7b2e1 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 2b5e41cf9..9ecc076e9 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 a54db309b..33f270a7a 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 579294373..cbe47dcb6 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 1b9d3d0cd..3051105c4 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 aa619333e..82b6f2e1c 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 6ed4ee5da..94a0292a6 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 b98081f42..772d3d5c2 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 3755fcc06..02220f464 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 e0c202c4d..f3c66d736 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 9773fbc00..d553bf72b 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 501c79ed9..1364fb380 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 feaffc3fb..400ef0f53 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 0dcb8b1d1..027feeaee 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/univariate_statistics.html b/doc/html/math_toolkit/univariate_statistics.html index bc99cffc5..67cabb17d 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 64b5ae730..a52407ed1 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 cc46c2b82..54aed2e8e 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/whittaker_shannon.html b/doc/html/math_toolkit/whittaker_shannon.html index 1a4ee9616..4d0f8a3d0 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/zetas.html b/doc/html/math_toolkit/zetas.html index 95148ec96..b609b88dd 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 ac70399e6..c459ca0f6 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 bb8321f10..a9087d91b 100644 --- a/doc/html/octonions.html +++ b/doc/html/octonions.html @@ -4,8 +4,8 @@ Chapter 16. Octonions - - + + diff --git a/doc/html/overview.html b/doc/html/overview.html index c971517aa..3c8c70a65 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 d05de1412..241eb05a2 100644 --- a/doc/html/perf.html +++ b/doc/html/perf.html @@ -4,8 +4,8 @@ Chapter 21. Performance - - + + diff --git a/doc/html/policy.html b/doc/html/policy.html index dc118252e..318ad46e1 100644 --- a/doc/html/policy.html +++ b/doc/html/policy.html @@ -4,8 +4,8 @@ Chapter 20. Policies: Controlling Precision, Error Handling etc - - + + diff --git a/doc/html/poly.html b/doc/html/poly.html index 2cedfb85d..524b75264 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 b817d9483..f743cfd74 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 245ab6eed..fa026ee5a 100644 --- a/doc/html/quaternions.html +++ b/doc/html/quaternions.html @@ -4,8 +4,8 @@ Chapter 15. Quaternions - - + + diff --git a/doc/html/root_finding.html b/doc/html/root_finding.html index 02bd6f7e6..b74663ae8 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 4ba5c9a65..d5e7bbd77 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 5a41520ae..2fe0d5cca 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 676eabc8d..f8f71c9df 100644 --- a/doc/html/status.html +++ b/doc/html/status.html @@ -4,8 +4,8 @@ Chapter 23. Library Status - - + + diff --git a/doc/html/using_udt.html b/doc/html/using_udt.html index 6a7bf6901..dc9ee1df0 100644 --- a/doc/html/using_udt.html +++ b/doc/html/using_udt.html @@ -4,8 +4,8 @@ Chapter 19. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others - - + + diff --git a/doc/html/utils.html b/doc/html/utils.html index fea98d257..e9fa6f9f6 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 04aecf7fa..d71d2865a 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 4ee4335bd..39bd4d6cd 100644 --- a/doc/math.qbk +++ b/doc/math.qbk @@ -9,7 +9,7 @@ ] [authors [Agrawal, Nikhar], [Bikineev, Anton], [Bristow, Paul A.], [Holin, Hubert], [Guazzone, Marco], [Kormanyos, Christopher], [Lalande, Bruno], [Maddock, John], [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 2.10.0] + [version 2.11.0] ] [template mathpart[id title]