From de3462bed367ebc42a8b167eba35e30a41c7c5f8 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Ren=C3=A9=20Ferdinand=20Rivera=20Morell?= Date: Fri, 19 Apr 2024 09:12:50 -0500 Subject: [PATCH 01/58] Don't use obsolete predef/checks/predef.jam B2 module. --- reporting/performance/Jamfile.v2 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/reporting/performance/Jamfile.v2 b/reporting/performance/Jamfile.v2 index 6ea5bc8a2..1f1d6fd63 100644 --- a/reporting/performance/Jamfile.v2 +++ b/reporting/performance/Jamfile.v2 @@ -16,7 +16,7 @@ import ../../../config/checks/config : requires ; using quickbook ; using auto-index ; -import ../../../predef/check/predef +import ../../../predef/tools/check/predef : check require : predef-check predef-require ; From db90dfd709831b3ba5dbb928b73b64123dcb9a19 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sun, 21 Apr 2024 17:19:16 +0100 Subject: [PATCH 02/58] Change skew normal quantile to use bracket_and_solve_root. Rather than Newton iterations. Add test case. Fixes https://github.com/boostorg/math/issues/1120 --- .../boost/math/distributions/skew_normal.hpp | 46 ++++++++++++-- test/Jamfile.v2 | 1 + test/git_issue_1120.cpp | 60 +++++++++++++++++++ 3 files changed, 102 insertions(+), 5 deletions(-) create mode 100644 test/git_issue_1120.cpp diff --git a/include/boost/math/distributions/skew_normal.hpp b/include/boost/math/distributions/skew_normal.hpp index f3cc5a6b5..0ee88be8c 100644 --- a/include/boost/math/distributions/skew_normal.hpp +++ b/include/boost/math/distributions/skew_normal.hpp @@ -27,6 +27,10 @@ #include #include // std::lower_bound, std::distance +#ifdef BOOST_MATH_INSTRUMENT_SKEW_NORMAL_ITERATIONS +extern std::uintmax_t global_iter_count; +#endif + namespace boost{ namespace math{ namespace detail @@ -681,14 +685,46 @@ namespace boost{ namespace math{ // refine the result by numerically searching the root of (p-cdf) - const RealType search_min = support(dist).first; - const RealType search_max = support(dist).second; - const int get_digits = policies::digits();// get digits from policy, std::uintmax_t max_iter = policies::get_max_root_iterations(); // and max iterations. - result = tools::newton_raphson_iterate(detail::skew_normal_quantile_functor(dist, p), result, - search_min, search_max, get_digits, max_iter); + if (result == 0) + result = tools::min_value(); // we need to be one side of zero or the other for the root finder to work. + + auto fun = [&, dist, p](const RealType& x)->RealType { return cdf(dist, x) - p; }; + + RealType f_result = fun(result); + + if (f_result == 0) + return result; + + if (f_result * result > 0) + { + // If the root is in the direction of zero, we need to check that we're the correct side of it: + RealType f_zero = fun(static_cast(0)); + if (f_zero * f_result > 0) + { + // we're the wrong side of zero: + result = -result; + f_result = fun(result); + } + } + + RealType scaling_factor = 1.25; + if (f_result * result > 0) + { + // We're heading towards zero... it's a long way down so use a larger scaling factor: + scaling_factor = 16; + } + + auto p_result = tools::bracket_and_solve_root(fun, result, scaling_factor, true, tools::eps_tolerance(get_digits), max_iter, Policy()); + +#ifdef BOOST_MATH_INSTRUMENT_SKEW_NORMAL_ITERATIONS + global_iter_count += max_iter; +#endif + + result = (p_result.first + p_result.second) / 2; + if (max_iter >= policies::get_max_root_iterations()) { return policies::raise_evaluation_error(function, "Unable to locate solution in a reasonable time: either there is no answer to quantile" // LCOV_EXCL_LINE diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index cce2a8fcf..20619145b 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -873,6 +873,7 @@ test-suite distribution_tests : [ run scipy_issue_18302.cpp ../../test/build//boost_unit_test_framework ] [ run scipy_issue_18511.cpp ../../test/build//boost_unit_test_framework ] [ compile scipy_issue_19762.cpp ] + [ run git_issue_1120.cpp ] ; test-suite new_floats : diff --git a/test/git_issue_1120.cpp b/test/git_issue_1120.cpp new file mode 100644 index 000000000..787a7a45b --- /dev/null +++ b/test/git_issue_1120.cpp @@ -0,0 +1,60 @@ +// Copyright John Maddock 2024. +// 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) + +// +// The purpose of this test case is to probe the skew normal quantiles +// for extreme values of skewness and ensure that our root finders don't +// blow up, see https://github.com/boostorg/math/issues/1120 for original +// test case. We test both the maximum number of iterations taken, and the +// overall total (ie average). Any changes to the skew normal should +// ideally NOT cause this test to fail, as this indicates that our root +// finding has been made worse by the change!! +// +// Note that defining BOOST_MATH_INSTRUMENT_SKEW_NORMAL_ITERATIONS +// causes the skew normal quantile to save the number of iterations +// to a global variable "global_iter_count". +// + +#define BOOST_MATH_INSTRUMENT_SKEW_NORMAL_ITERATIONS + +#include +#include +#include "math_unit_test.hpp" + +std::uintmax_t global_iter_count; +std::uintmax_t total_iter_count = 0; + +int main() +{ + using scipy_policy = boost::math::policies::policy>; + + std::mt19937 gen; + std::uniform_real<> location(-3, 3); + std::uniform_real<> scale(0.001, 3); + + for (unsigned skew = 50; skew < 2000; skew += 43) + { + constexpr double pn[] = { 0.0001, 0.001, 0.01, 0.1, 0.2, 0.3, 0.4 }; + boost::math::skew_normal_distribution dist(location(gen), scale(gen), skew); + for (unsigned i = 0; i < 7; ++i) + { + global_iter_count = 0; + double x = quantile(dist, pn[i]); + total_iter_count += global_iter_count; + CHECK_LE(global_iter_count, static_cast(55)); + double p = cdf(dist, x); + CHECK_ULP_CLOSE(p, pn[i], 45000); + + global_iter_count = 0; + x = quantile(complement(dist, pn[i])); + total_iter_count += global_iter_count; + CHECK_LE(global_iter_count, static_cast(55)); + p = cdf(complement(dist, x)); + CHECK_ULP_CLOSE(p, pn[i], 45000); + } + } + CHECK_LE(total_iter_count, static_cast(10000)); + return boost::math::test::report_errors(); +} From 991700d1ba298cb3ebf24031ee7dbb7d1ff2e3be Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sun, 21 Apr 2024 17:49:36 +0100 Subject: [PATCH 03/58] Correct usage. --- test/git_issue_1120.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/test/git_issue_1120.cpp b/test/git_issue_1120.cpp index 787a7a45b..11a05182b 100644 --- a/test/git_issue_1120.cpp +++ b/test/git_issue_1120.cpp @@ -31,8 +31,8 @@ int main() using scipy_policy = boost::math::policies::policy>; std::mt19937 gen; - std::uniform_real<> location(-3, 3); - std::uniform_real<> scale(0.001, 3); + std::uniform_real_distribution location(-3, 3); + std::uniform_real_distribution scale(0.001, 3); for (unsigned skew = 50; skew < 2000; skew += 43) { From a194dc580deccdbb8ae29ada4dee8f1c1ef36ba6 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Mon, 22 Apr 2024 19:02:28 +0100 Subject: [PATCH 04/58] Clean up skew normal quantile with one Newton step. Improve test case. --- .../boost/math/distributions/skew_normal.hpp | 38 ++++++------------- test/git_issue_1120.cpp | 4 +- 2 files changed, 14 insertions(+), 28 deletions(-) diff --git a/include/boost/math/distributions/skew_normal.hpp b/include/boost/math/distributions/skew_normal.hpp index 0ee88be8c..7df81b6f5 100644 --- a/include/boost/math/distributions/skew_normal.hpp +++ b/include/boost/math/distributions/skew_normal.hpp @@ -618,32 +618,6 @@ namespace boost{ namespace math{ return factor * y*y / (x*x); } - namespace detail - { - - template - struct skew_normal_quantile_functor - { - skew_normal_quantile_functor(const boost::math::skew_normal_distribution dist, RealType const& p) - : distribution(dist), prob(p) - { - } - - boost::math::tuple operator()(RealType const& x) - { - RealType c = cdf(distribution, x); - RealType fx = c - prob; // Difference cdf - value - to minimize. - RealType dx = pdf(distribution, x); // pdf is 1st derivative. - // return both function evaluation difference f(x) and 1st derivative f'(x). - return boost::math::make_tuple(fx, dx); - } - private: - const boost::math::skew_normal_distribution distribution; - RealType prob; - }; - - } // namespace detail - template inline RealType quantile(const skew_normal_distribution& dist, const RealType& p) { @@ -725,6 +699,18 @@ namespace boost{ namespace math{ result = (p_result.first + p_result.second) / 2; + // + // Try one last Newton step, just to close up the interval: + // + RealType step = fun(result) / pdf(dist, result); + + if (result - step <= p_result.first) + result = p_result.first; + else if (result - step >= p_result.second) + result = p_result.second; + else + result -= step; + if (max_iter >= policies::get_max_root_iterations()) { return policies::raise_evaluation_error(function, "Unable to locate solution in a reasonable time: either there is no answer to quantile" // LCOV_EXCL_LINE diff --git a/test/git_issue_1120.cpp b/test/git_issue_1120.cpp index 11a05182b..7f1143c0c 100644 --- a/test/git_issue_1120.cpp +++ b/test/git_issue_1120.cpp @@ -45,14 +45,14 @@ int main() total_iter_count += global_iter_count; CHECK_LE(global_iter_count, static_cast(55)); double p = cdf(dist, x); - CHECK_ULP_CLOSE(p, pn[i], 45000); + CHECK_ABSOLUTE_ERROR(p, pn[i], 5 * std::numeric_limits::epsilon()); global_iter_count = 0; x = quantile(complement(dist, pn[i])); total_iter_count += global_iter_count; CHECK_LE(global_iter_count, static_cast(55)); p = cdf(complement(dist, x)); - CHECK_ULP_CLOSE(p, pn[i], 45000); + CHECK_ABSOLUTE_ERROR(p, pn[i], 5 * std::numeric_limits::epsilon()); } } CHECK_LE(total_iter_count, static_cast(10000)); From 4f6963a4ed6ae6a177d909681b35d49153d4dad9 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Tue, 23 Apr 2024 09:15:17 +0100 Subject: [PATCH 05/58] clang need a higher tolerance. --- test/git_issue_1120.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/test/git_issue_1120.cpp b/test/git_issue_1120.cpp index 7f1143c0c..7b92bb481 100644 --- a/test/git_issue_1120.cpp +++ b/test/git_issue_1120.cpp @@ -45,14 +45,14 @@ int main() total_iter_count += global_iter_count; CHECK_LE(global_iter_count, static_cast(55)); double p = cdf(dist, x); - CHECK_ABSOLUTE_ERROR(p, pn[i], 5 * std::numeric_limits::epsilon()); + CHECK_ABSOLUTE_ERROR(p, pn[i], 15 * std::numeric_limits::epsilon()); global_iter_count = 0; x = quantile(complement(dist, pn[i])); total_iter_count += global_iter_count; CHECK_LE(global_iter_count, static_cast(55)); p = cdf(complement(dist, x)); - CHECK_ABSOLUTE_ERROR(p, pn[i], 5 * std::numeric_limits::epsilon()); + CHECK_ABSOLUTE_ERROR(p, pn[i], 15 * std::numeric_limits::epsilon()); } } CHECK_LE(total_iter_count, static_cast(10000)); From c728d051c0290ac9692f151f470088b109997d68 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Tue, 23 Apr 2024 11:24:08 +0100 Subject: [PATCH 06/58] Up clang error rates again. --- test/git_issue_1120.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/test/git_issue_1120.cpp b/test/git_issue_1120.cpp index 7b92bb481..657e5eac1 100644 --- a/test/git_issue_1120.cpp +++ b/test/git_issue_1120.cpp @@ -45,14 +45,14 @@ int main() total_iter_count += global_iter_count; CHECK_LE(global_iter_count, static_cast(55)); double p = cdf(dist, x); - CHECK_ABSOLUTE_ERROR(p, pn[i], 15 * std::numeric_limits::epsilon()); + CHECK_ABSOLUTE_ERROR(p, pn[i], 45 * std::numeric_limits::epsilon()); global_iter_count = 0; x = quantile(complement(dist, pn[i])); total_iter_count += global_iter_count; CHECK_LE(global_iter_count, static_cast(55)); p = cdf(complement(dist, x)); - CHECK_ABSOLUTE_ERROR(p, pn[i], 15 * std::numeric_limits::epsilon()); + CHECK_ABSOLUTE_ERROR(p, pn[i], 45 * std::numeric_limits::epsilon()); } } CHECK_LE(total_iter_count, static_cast(10000)); From e2875171805e7111f580d23089aeca5b60050b6c Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Tue, 23 Apr 2024 12:56:25 +0100 Subject: [PATCH 07/58] Update max iterations. --- test/git_issue_1120.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/test/git_issue_1120.cpp b/test/git_issue_1120.cpp index 657e5eac1..3a74d9c21 100644 --- a/test/git_issue_1120.cpp +++ b/test/git_issue_1120.cpp @@ -43,14 +43,14 @@ int main() global_iter_count = 0; double x = quantile(dist, pn[i]); total_iter_count += global_iter_count; - CHECK_LE(global_iter_count, static_cast(55)); + CHECK_LE(global_iter_count, static_cast(60)); double p = cdf(dist, x); CHECK_ABSOLUTE_ERROR(p, pn[i], 45 * std::numeric_limits::epsilon()); global_iter_count = 0; x = quantile(complement(dist, pn[i])); total_iter_count += global_iter_count; - CHECK_LE(global_iter_count, static_cast(55)); + CHECK_LE(global_iter_count, static_cast(60)); p = cdf(complement(dist, x)); CHECK_ABSOLUTE_ERROR(p, pn[i], 45 * std::numeric_limits::epsilon()); } From 95367e1a2718fe7dcbfde99564e69f664f67991f Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Wed, 24 Apr 2024 08:24:11 +0200 Subject: [PATCH 08/58] Improve reliability of codecov upload --- .github/workflows/codecov.yml | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/.github/workflows/codecov.yml b/.github/workflows/codecov.yml index 7978200e4..763b5e1d3 100644 --- a/.github/workflows/codecov.yml +++ b/.github/workflows/codecov.yml @@ -195,3 +195,15 @@ jobs: - name: Upload coverage if: matrix.coverage run: ci/codecov.sh "upload" + env: + BOOST_CI_CODECOV_IO_UPLOAD: skip + + - name: Upload coverage + if: matrix.coverage + uses: codecov/codecov-action@v4 + with: + disable_search: true + file: coverage.info + name: Github Actions + token: ${{secrets.CODECOV_TOKEN}} + verbose: true From cfab531eb983206c776feb032d13f754eb5a164e Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Thu, 25 Apr 2024 19:53:01 +0100 Subject: [PATCH 09/58] Improve Heuman Lambda precision: Make sure we pass 1 - k^2 down through the call stack otherwise we get cancellation errors. --- .../boost/math/special_functions/ellint_1.hpp | 41 +++++++++++++------ .../math/special_functions/heuman_lambda.hpp | 4 +- .../math/special_functions/jacobi_zeta.hpp | 13 ++++-- 3 files changed, 39 insertions(+), 19 deletions(-) diff --git a/include/boost/math/special_functions/ellint_1.hpp b/include/boost/math/special_functions/ellint_1.hpp index 33d84c281..b4f550dd3 100644 --- a/include/boost/math/special_functions/ellint_1.hpp +++ b/include/boost/math/special_functions/ellint_1.hpp @@ -41,10 +41,12 @@ template T ellint_k_imp(T k, const Policy& pol, std::integral_constant const&); template T ellint_k_imp(T k, const Policy& pol, std::integral_constant const&); +template +T ellint_k_imp(T k, const Policy& pol, T one_minus_k2); // Elliptic integral (Legendre form) of the first kind template -T ellint_f_imp(T phi, T k, const Policy& pol) +T ellint_f_imp(T phi, T k, const Policy& pol, T one_minus_k2) { BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -80,7 +82,7 @@ T ellint_f_imp(T phi, T k, const Policy& pol) std::is_floating_point::value && std::numeric_limits::digits && (std::numeric_limits::digits <= 64) ? 1 : 2 > precision_tag_type; - result = 2 * phi * ellint_k_imp(k, pol, precision_tag_type()) / constants::pi(); + result = 2 * phi * ellint_k_imp(k, pol, one_minus_k2) / constants::pi(); BOOST_MATH_INSTRUMENT_VARIABLE(result); } else @@ -121,31 +123,40 @@ T ellint_f_imp(T phi, T k, const Policy& pol) BOOST_MATH_ASSERT(rphi != 0); // precondition, can't be true if sin(rphi) != 0. // // Use http://dlmf.nist.gov/19.25#E5, note that - // c-1 simplifies to cot^2(rphi) which avoid cancellation: + // c-1 simplifies to cot^2(rphi) which avoids cancellation. + // Likewise c - k^2 is the same as (c - 1) + (1 - k^2). // T c = 1 / sinp; - result = static_cast(s * ellint_rf_imp(T(cosp / sinp), T(c - k * k), c, pol)); + T c_minus_one = cosp / sinp; + T cross = fabs(c / (k * k)); + T arg2; + if ((cross > 0.9) && (cross < 1.1)) + arg2 = c_minus_one + one_minus_k2; + else + arg2 = c - k * k; + result = static_cast(s * ellint_rf_imp(c_minus_one, arg2, c, pol)); } else result = s * sin(rphi); BOOST_MATH_INSTRUMENT_VARIABLE(result); if(m != 0) { - typedef std::integral_constant::value&& std::numeric_limits::digits && (std::numeric_limits::digits <= 54) ? 0 : - std::is_floating_point::value && std::numeric_limits::digits && (std::numeric_limits::digits <= 64) ? 1 : 2 - > precision_tag_type; - - result += m * ellint_k_imp(k, pol, precision_tag_type()); + result += m * ellint_k_imp(k, pol, one_minus_k2); BOOST_MATH_INSTRUMENT_VARIABLE(result); } } return invert ? T(-result) : result; } +template +inline T ellint_f_imp(T phi, T k, const Policy& pol) +{ + return ellint_f_imp(phi, k, pol, T(1 - k * k)); +} + // Complete elliptic integral (Legendre form) of the first kind template -T ellint_k_imp(T k, const Policy& pol, std::integral_constant const&) +T ellint_k_imp(T k, const Policy& pol, T one_minus_k2) { BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -162,12 +173,16 @@ T ellint_k_imp(T k, const Policy& pol, std::integral_constant const&) } T x = 0; - T y = 1 - k * k; T z = 1; - T value = ellint_rf_imp(x, y, z, pol); + T value = ellint_rf_imp(x, one_minus_k2, z, pol); return value; } +template +inline T ellint_k_imp(T k, const Policy& pol, std::integral_constant const&) +{ + return ellint_k_imp(k, pol, T(1 - k * k)); +} // // Special versions for double and 80-bit long double precision, diff --git a/include/boost/math/special_functions/heuman_lambda.hpp b/include/boost/math/special_functions/heuman_lambda.hpp index c2d16d46e..0fbf4a980 100644 --- a/include/boost/math/special_functions/heuman_lambda.hpp +++ b/include/boost/math/special_functions/heuman_lambda.hpp @@ -63,8 +63,8 @@ T heuman_lambda_imp(T phi, T k, const Policy& pol) return policies::raise_domain_error(function, "When 1-k^2 == 1 then phi must be < Pi/2, but got phi = %1%", phi, pol); } else - ratio = ellint_f_imp(phi, rkp, pol) / ellint_k_imp(rkp, pol, precision_tag_type()); - result = ratio + ellint_k_imp(k, pol, precision_tag_type()) * jacobi_zeta_imp(phi, rkp, pol) / constants::half_pi(); + ratio = ellint_f_imp(phi, rkp, pol, k2) / ellint_k_imp(rkp, pol, k2); + result = ratio + ellint_k_imp(k, pol, precision_tag_type()) * jacobi_zeta_imp(phi, rkp, pol, k2) / constants::half_pi(); } return result; } diff --git a/include/boost/math/special_functions/jacobi_zeta.hpp b/include/boost/math/special_functions/jacobi_zeta.hpp index aca9ff6d4..4586992af 100644 --- a/include/boost/math/special_functions/jacobi_zeta.hpp +++ b/include/boost/math/special_functions/jacobi_zeta.hpp @@ -27,7 +27,7 @@ namespace detail{ // Elliptic integral - Jacobi Zeta template -T jacobi_zeta_imp(T phi, T k, const Policy& pol) +T jacobi_zeta_imp(T phi, T k, const Policy& pol, T kp) { BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -44,8 +44,9 @@ T jacobi_zeta_imp(T phi, T k, const Policy& pol) T sinp = sin(phi); T cosp = cos(phi); T s2 = sinp * sinp; + T c2 = cosp * cosp; + T one_minus_ks2 = kp + c2 - kp * c2; T k2 = k * k; - T kp = 1 - k2; if(k == 1) result = sinp * (boost::math::sign)(cosp); // We get here by simplifying JacobiZeta[w, 1] in Mathematica, and the fact that 0 <= phi. else @@ -54,11 +55,15 @@ T jacobi_zeta_imp(T phi, T k, const Policy& pol) std::is_floating_point::value&& std::numeric_limits::digits && (std::numeric_limits::digits <= 54) ? 0 : std::is_floating_point::value && std::numeric_limits::digits && (std::numeric_limits::digits <= 64) ? 1 : 2 > precision_tag_type; - result = k2 * sinp * cosp * sqrt(1 - k2 * s2) * ellint_rj_imp(T(0), kp, T(1), T(1 - k2 * s2), pol) / (3 * ellint_k_imp(k, pol, precision_tag_type())); + result = k2 * sinp * cosp * sqrt(one_minus_ks2) * ellint_rj_imp(T(0), kp, T(1), one_minus_ks2, pol) / (3 * ellint_k_imp(k, pol, kp)); } return invert ? T(-result) : result; } - +template +inline T jacobi_zeta_imp(T phi, T k, const Policy& pol) +{ + return jacobi_zeta_imp(phi, k, pol, T(1 - k * k)); +} } // detail template From a0826beac62df2ec7fc034404544263048104253 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 26 Apr 2024 09:08:40 +0100 Subject: [PATCH 10/58] Update clang/apple polygamma expected error rate. --- test/test_polygamma.cpp | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/test/test_polygamma.cpp b/test/test_polygamma.cpp index ef29a1132..276fc9fd1 100644 --- a/test/test_polygamma.cpp +++ b/test/test_polygamma.cpp @@ -26,7 +26,15 @@ void expected_results() #else largest_type = "(long\\s+)?double|real_concept"; #endif - +#if defined(__APPLE__ ) && defined(__clang__) + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + ".*large arguments", // test data group + ".*", 700, 200); // test function +#else add_expected_result( ".*", // compiler ".*", // stdlib @@ -34,6 +42,7 @@ void expected_results() largest_type, // test type(s) ".*large arguments", // test data group ".*", 400, 200); // test function +#endif add_expected_result( ".*", // compiler ".*", // stdlib From d4b0c0ba743f76d14c453919b8eb8f7b6c1c8c11 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 26 Apr 2024 09:11:52 +0100 Subject: [PATCH 11/58] Adjust t-dist error rates for apple/clang. --- test/test_t_test.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/test/test_t_test.cpp b/test/test_t_test.cpp index bc185c4cf..fc9519c82 100644 --- a/test/test_t_test.cpp +++ b/test/test_t_test.cpp @@ -55,8 +55,8 @@ void test_multiprecision_exact_mean() Real computed_statistic = std::get<0>(temp); Real computed_pvalue = std::get<1>(temp); - CHECK_MOLLIFIED_CLOSE(Real(0), computed_statistic, 15*std::numeric_limits::epsilon()); - CHECK_ULP_CLOSE(Real(1), computed_pvalue, 25); + CHECK_MOLLIFIED_CLOSE(Real(0), computed_statistic, 20*std::numeric_limits::epsilon()); + CHECK_ULP_CLOSE(Real(1), computed_pvalue, 35); } template From 94740deff54bd8c2844783750df82bc712f4f2bc Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 26 Apr 2024 09:13:02 +0100 Subject: [PATCH 12/58] Adjust linear_regression_test.cpp error rates for apple/clang. --- test/linear_regression_test.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/test/linear_regression_test.cpp b/test/linear_regression_test.cpp index 5fe425b89..27317ea14 100644 --- a/test/linear_regression_test.cpp +++ b/test/linear_regression_test.cpp @@ -223,7 +223,7 @@ void test_scaling_relations() Real c1_lambda = std::get<1>(temp); Real Rsquared_lambda = std::get<2>(temp); - CHECK_ULP_CLOSE(lambda*c0, c0_lambda, 30); + CHECK_ULP_CLOSE(lambda*c0, c0_lambda, 50); CHECK_ULP_CLOSE(lambda*c1, c1_lambda, 30); CHECK_ULP_CLOSE(Rsquared, Rsquared_lambda, 3); From f5db0cbf3fcebe533bfb9858931b9b4a27d9a91e Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 26 Apr 2024 09:14:53 +0100 Subject: [PATCH 13/58] Remove unused typedefs. --- include/boost/math/special_functions/ellint_1.hpp | 5 ----- include/boost/math/special_functions/jacobi_zeta.hpp | 4 ---- 2 files changed, 9 deletions(-) diff --git a/include/boost/math/special_functions/ellint_1.hpp b/include/boost/math/special_functions/ellint_1.hpp index b4f550dd3..86aaf2416 100644 --- a/include/boost/math/special_functions/ellint_1.hpp +++ b/include/boost/math/special_functions/ellint_1.hpp @@ -77,11 +77,6 @@ T ellint_f_imp(T phi, T k, const Policy& pol, T one_minus_k2) { // Phi is so large that phi%pi is necessarily zero (or garbage), // just return the second part of the duplication formula: - typedef std::integral_constant::value&& std::numeric_limits::digits && (std::numeric_limits::digits <= 54) ? 0 : - std::is_floating_point::value && std::numeric_limits::digits && (std::numeric_limits::digits <= 64) ? 1 : 2 - > precision_tag_type; - result = 2 * phi * ellint_k_imp(k, pol, one_minus_k2) / constants::pi(); BOOST_MATH_INSTRUMENT_VARIABLE(result); } diff --git a/include/boost/math/special_functions/jacobi_zeta.hpp b/include/boost/math/special_functions/jacobi_zeta.hpp index 4586992af..1bdf7f0f6 100644 --- a/include/boost/math/special_functions/jacobi_zeta.hpp +++ b/include/boost/math/special_functions/jacobi_zeta.hpp @@ -51,10 +51,6 @@ T jacobi_zeta_imp(T phi, T k, const Policy& pol, T kp) result = sinp * (boost::math::sign)(cosp); // We get here by simplifying JacobiZeta[w, 1] in Mathematica, and the fact that 0 <= phi. else { - typedef std::integral_constant::value&& std::numeric_limits::digits && (std::numeric_limits::digits <= 54) ? 0 : - std::is_floating_point::value && std::numeric_limits::digits && (std::numeric_limits::digits <= 64) ? 1 : 2 - > precision_tag_type; result = k2 * sinp * cosp * sqrt(one_minus_ks2) * ellint_rj_imp(T(0), kp, T(1), one_minus_ks2, pol) / (3 * ellint_k_imp(k, pol, kp)); } return invert ? T(-result) : result; From 6cddd02b3ef61ad9d2f65e0c60d94b7c04f19124 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 26 Apr 2024 09:18:19 +0100 Subject: [PATCH 14/58] Disable one clang warning. --- test/Jamfile.v2 | 1 + 1 file changed, 1 insertion(+) diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index cce2a8fcf..268c5b931 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -54,6 +54,7 @@ project msvc-7.1:../vc71_fix//vc_fix msvc-7.1:off clang-6.0.0:off # added to see effect. + clang:-Wno-literal-range # warning: magnitude of floating-point constant too small for type 'long double' [-Wliteral-range] gcc,windows:off borland:static # msvc:/wd4506 has no effect? From b5bb1e838e4e1fee426877560d29670890e57049 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sun, 28 Apr 2024 16:44:22 +0100 Subject: [PATCH 15/58] Trivial precision adjustment in bezier_polynomial_test.cpp --- test/bezier_polynomial_test.cpp | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/test/bezier_polynomial_test.cpp b/test/bezier_polynomial_test.cpp index 05ee13ecf..4aadd3edc 100644 --- a/test/bezier_polynomial_test.cpp +++ b/test/bezier_polynomial_test.cpp @@ -173,9 +173,9 @@ void test_linear_precision() P[2] = (1-t)*P0[2] + t*Pf[2]; auto computed = bp(t); - CHECK_ULP_CLOSE(P[0], computed[0], 3); - CHECK_ULP_CLOSE(P[1], computed[1], 3); - CHECK_ULP_CLOSE(P[2], computed[2], 3); + CHECK_ULP_CLOSE(P[0], computed[0], 4); + CHECK_ULP_CLOSE(P[1], computed[1], 4); + CHECK_ULP_CLOSE(P[2], computed[2], 4); std::array dP; dP[0] = Pf[0] - P0[0]; From afe92213b9f86d48812fe6fb3290e71403f2364c Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Mon, 29 Apr 2024 12:45:51 +0100 Subject: [PATCH 16/58] Allow a NaN result in cubic_roots_test.cpp --- test/cubic_roots_test.cpp | 42 ++++++++++++++++++++++++--------------- 1 file changed, 26 insertions(+), 16 deletions(-) diff --git a/test/cubic_roots_test.cpp b/test/cubic_roots_test.cpp index 04e8fb807..c4e903129 100644 --- a/test/cubic_roots_test.cpp +++ b/test/cubic_roots_test.cpp @@ -126,23 +126,33 @@ void test_ill_conditioned() { auto roots = cubic_roots(1, 10000, 200, 1); CHECK_ABSOLUTE_ERROR(expected_roots[0], roots[0], std::numeric_limits::epsilon()); - CHECK_ABSOLUTE_ERROR(expected_roots[1], roots[1], 1.01e-5); - CHECK_ABSOLUTE_ERROR(expected_roots[2], roots[2], 1.01e-5); - double cond = - cubic_root_condition_number(1, 10000, 200, 1, roots[1]); - double r1 = expected_roots[1]; - // The factor of 10 is a fudge factor to make the test pass. - // Nonetheless, it does show this is basically correct: - CHECK_LE(abs(r1 - roots[1]) / abs(r1), - 10 * std::numeric_limits::epsilon() * cond); - - cond = cubic_root_condition_number(1, 10000, 200, 1, roots[2]); - double r2 = expected_roots[2]; - // The factor of 10 is a fudge factor to make the test pass. - // Nonetheless, it does show this is basically correct: - CHECK_LE(abs(r2 - roots[2]) / abs(r2), - 10 * std::numeric_limits::epsilon() * cond); + if (!(boost::math::isnan)(roots[1])) + { + // This test is so ill-conditioned, that we can't always get here. + // Test case is Clang C++20 mode on MacOS Arm. Best guess is that + // fma is behaving differently there... + CHECK_ABSOLUTE_ERROR(expected_roots[1], roots[1], 1.01e-5); + CHECK_ABSOLUTE_ERROR(expected_roots[2], roots[2], 1.01e-5); + double cond = + cubic_root_condition_number(1, 10000, 200, 1, roots[1]); + double r1 = expected_roots[1]; + // The factor of 10 is a fudge factor to make the test pass. + // Nonetheless, it does show this is basically correct: + CHECK_LE(abs(r1 - roots[1]) / abs(r1), + 10 * std::numeric_limits::epsilon() * cond); + + cond = cubic_root_condition_number(1, 10000, 200, 1, roots[2]); + double r2 = expected_roots[2]; + // The factor of 10 is a fudge factor to make the test pass. + // Nonetheless, it does show this is basically correct: + CHECK_LE(abs(r2 - roots[2]) / abs(r2), + 10 * std::numeric_limits::epsilon() * cond); + } + else + { + CHECK_NAN(roots[2]); + } // See https://github.com/boostorg/math/issues/757: // The polynomial is ((x+1)^2+1)*(x+1) which has roots -1, and two complex // roots: From 77cb565d52124447c70e68a93cc5ef0e176aeb48 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Mon, 29 Apr 2024 17:45:23 +0100 Subject: [PATCH 17/58] Disable extreme test case in test_binomial.cpp For Clang on Apple, as it can not be made to pass here. --- test/test_binomial.cpp | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/test/test_binomial.cpp b/test/test_binomial.cpp index 6a8f077f3..8aec49e4f 100644 --- a/test/test_binomial.cpp +++ b/test/test_binomial.cpp @@ -716,7 +716,12 @@ void test_spots(RealType T) check_out_of_range >(1, 1); // (All) valid constructor parameter values. +#if !(defined(__clang__) && defined( __APPLE__)) // See bug reported here: https://github.com/boostorg/math/pull/1007 + // + // This test case is so extreme that the incomplete beta basically gets + // no digits in the result correct, as a result expect some failures on + // some platforms. { using namespace boost::math::policies; typedef policy > Policy; @@ -725,7 +730,7 @@ void test_spots(RealType T) // make sure it is not stuck. BOOST_CHECK_CLOSE(quantile(dist, 0.0365346), 5101148604445670400, 1e12); } - +#endif } // template void test_spots(RealType) BOOST_AUTO_TEST_CASE( test_main ) From 52af702c887d7fcdddaa2ae39026083258360a20 Mon Sep 17 00:00:00 2001 From: Alejandro Baranek Date: Mon, 29 Apr 2024 15:26:14 -0300 Subject: [PATCH 18/58] Update geometric.hpp The proposal is derived from this issue https://github.com/boostorg/math/issues/1126 --- include/boost/math/distributions/geometric.hpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/boost/math/distributions/geometric.hpp b/include/boost/math/distributions/geometric.hpp index baff0e249..876d6a176 100644 --- a/include/boost/math/distributions/geometric.hpp +++ b/include/boost/math/distributions/geometric.hpp @@ -401,7 +401,7 @@ namespace boost } if(k == 0) { - return log(p); // success_fraction + return std::log(p); // success_fraction } //RealType q = 1 - p; // Bad for small p //RealType probability = 1 - std::pow(q, k+1); From 419f44ada1ad58d86ec62bfa655e765a041ea982 Mon Sep 17 00:00:00 2001 From: Alejandro Baranek Date: Mon, 29 Apr 2024 17:10:33 -0300 Subject: [PATCH 19/58] Update geometric.hpp Implemented suggested change in https://github.com/boostorg/math/pull/1127#pullrequestreview-2029296711 --- include/boost/math/distributions/geometric.hpp | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/include/boost/math/distributions/geometric.hpp b/include/boost/math/distributions/geometric.hpp index 876d6a176..c4648d04f 100644 --- a/include/boost/math/distributions/geometric.hpp +++ b/include/boost/math/distributions/geometric.hpp @@ -384,6 +384,7 @@ namespace boost inline RealType logcdf(const geometric_distribution& dist, const RealType& k) { // Cumulative Distribution Function of geometric. using std::pow; + using std::log; static const char* function = "boost::math::logcdf(const geometric_distribution<%1%>&, %1%)"; // k argument may be integral, signed, or unsigned, or floating point. @@ -401,7 +402,7 @@ namespace boost } if(k == 0) { - return std::log(p); // success_fraction + return log(p); // success_fraction } //RealType q = 1 - p; // Bad for small p //RealType probability = 1 - std::pow(q, k+1); From 13037863715683832b98e4db846b7b0b40481b8b Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 30 Apr 2024 08:18:36 +0200 Subject: [PATCH 20/58] Update include/boost/math/distributions/geometric.hpp --- include/boost/math/distributions/geometric.hpp | 1 + 1 file changed, 1 insertion(+) diff --git a/include/boost/math/distributions/geometric.hpp b/include/boost/math/distributions/geometric.hpp index c4648d04f..7c511ef2d 100644 --- a/include/boost/math/distributions/geometric.hpp +++ b/include/boost/math/distributions/geometric.hpp @@ -385,6 +385,7 @@ namespace boost { // Cumulative Distribution Function of geometric. using std::pow; using std::log; + using std::exp; static const char* function = "boost::math::logcdf(const geometric_distribution<%1%>&, %1%)"; // k argument may be integral, signed, or unsigned, or floating point. From 4a279bc47570f0181440dfa8ddbafde62e589290 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Thu, 2 May 2024 19:16:50 +0100 Subject: [PATCH 21/58] Change literal type to floats. --- include/boost/math/special_functions/ellint_1.hpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/boost/math/special_functions/ellint_1.hpp b/include/boost/math/special_functions/ellint_1.hpp index 86aaf2416..6eeb4761c 100644 --- a/include/boost/math/special_functions/ellint_1.hpp +++ b/include/boost/math/special_functions/ellint_1.hpp @@ -125,7 +125,7 @@ T ellint_f_imp(T phi, T k, const Policy& pol, T one_minus_k2) T c_minus_one = cosp / sinp; T cross = fabs(c / (k * k)); T arg2; - if ((cross > 0.9) && (cross < 1.1)) + if ((cross > 0.9f) && (cross < 1.1f)) arg2 = c_minus_one + one_minus_k2; else arg2 = c - k * k; From 4428599387ccff07d95958daa07fb8dd835f6ad0 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Thu, 2 May 2024 19:22:19 +0100 Subject: [PATCH 22/58] Add temporary fix for apple/clang issue. --- test/test_autodiff_8.cpp | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/test/test_autodiff_8.cpp b/test/test_autodiff_8.cpp index ecbf3fdc3..b15f5c3d7 100644 --- a/test/test_autodiff_8.cpp +++ b/test/test_autodiff_8.cpp @@ -8,6 +8,8 @@ BOOST_AUTO_TEST_SUITE(test_autodiff_8) +// This workaround is a temporary fix for Clang on Apple: +#if !defined(__clang__) || !defined(__APPLE__) || !defined(__MACH__) BOOST_AUTO_TEST_CASE_TEMPLATE(hermite_hpp, T, all_float_types) { using test_constants = test_constants_t; static constexpr auto m = test_constants::order; @@ -19,7 +21,7 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(hermite_hpp, T, all_float_types) { BOOST_CHECK(isNearZero(autodiff_v.derivative(0u) - anchor_v)); } } - +#endif BOOST_AUTO_TEST_CASE_TEMPLATE(heuman_lambda_hpp, T, all_float_types) { using test_constants = test_constants_t; static constexpr auto m = test_constants::order; @@ -130,6 +132,7 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi_zeta_hpp, T, all_float_types) { } } +#if !defined(__clang__) || !defined(__APPLE__) || !defined(__MACH__) BOOST_AUTO_TEST_CASE_TEMPLATE(laguerre_hpp, T, all_float_types) { using boost::multiprecision::min; using std::min; @@ -158,7 +161,7 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(laguerre_hpp, T, all_float_types) { } } } - +#endif BOOST_AUTO_TEST_CASE_TEMPLATE(lambert_w_hpp, T, all_float_types) { using boost::math::nextafter; using boost::math::tools::max; From 9e19afcd196039b1b3ab4cf219078a45f9e899e2 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 3 May 2024 09:42:52 +0100 Subject: [PATCH 23/58] Adjust expected precision. --- test/test_autodiff_5.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/test/test_autodiff_5.cpp b/test/test_autodiff_5.cpp index 4681e1a53..8c875c31f 100644 --- a/test/test_autodiff_5.cpp +++ b/test/test_autodiff_5.cpp @@ -59,10 +59,10 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(chebyshev_hpp, T, all_float_types) { BOOST_CHECK_CLOSE( boost::math::chebyshev_t(n, make_fvar(x)).derivative(0u), boost::math::chebyshev_t(n, x), 40 * test_constants::pct_epsilon()); - + // Lower accuracy with clang/apple: BOOST_CHECK_CLOSE( boost::math::chebyshev_u(n, make_fvar(x)).derivative(0u), - boost::math::chebyshev_u(n, x), 40 * test_constants::pct_epsilon()); + boost::math::chebyshev_u(n, x), 80 * test_constants::pct_epsilon()); BOOST_CHECK_CLOSE( boost::math::chebyshev_t_prime(n, make_fvar(x)).derivative(0u), From 3dafc076e83a80747d5009067d58ef4ffa279862 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 3 May 2024 18:07:06 +0100 Subject: [PATCH 24/58] Correct ellint_1 logic for types with no infinity. Fixes multiprecision failures. --- include/boost/math/special_functions/ellint_1.hpp | 13 +++++++++---- 1 file changed, 9 insertions(+), 4 deletions(-) diff --git a/include/boost/math/special_functions/ellint_1.hpp b/include/boost/math/special_functions/ellint_1.hpp index 6eeb4761c..dfc1815f7 100644 --- a/include/boost/math/special_functions/ellint_1.hpp +++ b/include/boost/math/special_functions/ellint_1.hpp @@ -123,12 +123,17 @@ T ellint_f_imp(T phi, T k, const Policy& pol, T one_minus_k2) // T c = 1 / sinp; T c_minus_one = cosp / sinp; - T cross = fabs(c / (k * k)); T arg2; - if ((cross > 0.9f) && (cross < 1.1f)) - arg2 = c_minus_one + one_minus_k2; + if (k != 0) + { + T cross = fabs(c / (k * k)); + if ((cross > 0.9f) && (cross < 1.1f)) + arg2 = c_minus_one + one_minus_k2; + else + arg2 = c - k * k; + } else - arg2 = c - k * k; + arg2 = c; result = static_cast(s * ellint_rf_imp(c_minus_one, arg2, c, pol)); } else From c69c393f36fb07f7b553cfa49f55bf856d70151b Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Thu, 16 May 2024 18:28:32 +0100 Subject: [PATCH 25/58] Correct spurious underflow issues in non-central beta and t (also effects nc-F via beta). See https://github.com/scipy/scipy/issues/20693. --- .../math/distributions/non_central_beta.hpp | 29 +++++++++++++ .../math/distributions/non_central_t.hpp | 43 +++++++++++++++++-- test/test_nc_t.hpp | 16 +++++++ 3 files changed, 84 insertions(+), 4 deletions(-) diff --git a/include/boost/math/distributions/non_central_beta.hpp b/include/boost/math/distributions/non_central_beta.hpp index b32a605f2..cf649243e 100644 --- a/include/boost/math/distributions/non_central_beta.hpp +++ b/include/boost/math/distributions/non_central_beta.hpp @@ -63,6 +63,17 @@ namespace boost ? detail::ibeta_imp(T(a + k), b, x, pol, false, true, &xterm) : detail::ibeta_imp(b, T(a + k), y, pol, true, true, &xterm); + while (beta * pois == 0) + { + if (k == 0) + break; + k /= 2; + pois = gamma_p_derivative(T(k + 1), l2, pol); + beta = x < y + ? detail::ibeta_imp(T(a + k), b, x, pol, false, true, &xterm) + : detail::ibeta_imp(b, T(a + k), y, pol, true, true, &xterm); + } + xterm *= y / (a + b + k - 1); T poisf(pois), betaf(beta), xtermf(xterm); T sum = init_val; @@ -542,6 +553,24 @@ namespace boost T beta = x < y ? ibeta_derivative(a + k, b, x, pol) : ibeta_derivative(b, a + k, y, pol); + + while (beta * pois == 0) + { + if (k == 0) + return beta; // Nothing else we can do! + // + // We only get here when a+k and b are large and x is small, + // in that case reduce k (bisect) until both terms are finite: + // + k /= 2; + pois = gamma_p_derivative(T(k + 1), l2, pol); + // Starting beta term: + beta = x < y ? + ibeta_derivative(a + k, b, x, pol) + : ibeta_derivative(b, a + k, y, pol); + } + + T sum = 0; T poisf(pois); T betaf(beta); diff --git a/include/boost/math/distributions/non_central_t.hpp b/include/boost/math/distributions/non_central_t.hpp index 4651268d5..3f3ba7e0d 100644 --- a/include/boost/math/distributions/non_central_t.hpp +++ b/include/boost/math/distributions/non_central_t.hpp @@ -58,6 +58,20 @@ namespace boost beta = x < y ? detail::ibeta_imp(T(k + 1), T(v / 2), x, pol, false, true, &xterm) : detail::ibeta_imp(T(v / 2), T(k + 1), y, pol, true, true, &xterm); + + while (beta * pois == 0) + { + if (k == 0) + break; + k /= 2; + pois = gamma_p_derivative(T(k + 1), d2, pol) + * tgamma_delta_ratio(T(k + 1), T(0.5f)) + * delta / constants::root_two(); + beta = x < y + ? detail::ibeta_imp(T(k + 1), T(v / 2), x, pol, false, true, &xterm) + : detail::ibeta_imp(T(v / 2), T(k + 1), y, pol, true, true, &xterm); + } + xterm *= y / (v / 2 + k); T poisf(pois), betaf(beta), xtermf(xterm); T sum = init_val; @@ -262,7 +276,13 @@ namespace boost } else result = 0; - result += cdf(boost::math::normal_distribution(), -delta); + if (invert) + { + result = cdf(complement(boost::math::normal_distribution(), -delta)) - result; + invert = false; + } + else + result += cdf(boost::math::normal_distribution(), -delta); } else { @@ -398,10 +418,25 @@ namespace boost ? ibeta_derivative(T(k + 1), n / 2, x, pol) : ibeta_derivative(n / 2, T(k + 1), y, pol); BOOST_MATH_INSTRUMENT_VARIABLE(xterm); + + while (xterm * pois == 0) + { + if (k == 0) + return init_val; + k /= 2; + pois = gamma_p_derivative(T(k + 1), d2, pol) + * tgamma_delta_ratio(T(k + 1), T(0.5f)) + * delta / constants::root_two(); + BOOST_MATH_INSTRUMENT_VARIABLE(pois); + // Starting beta term: + xterm = x < y + ? ibeta_derivative(T(k + 1), n / 2, x, pol) + : ibeta_derivative(n / 2, T(k + 1), y, pol); + BOOST_MATH_INSTRUMENT_VARIABLE(xterm); + } + T poisf(pois), xtermf(xterm); T sum = init_val; - if((pois == 0) || (xterm == 0)) - return init_val; // // Backwards recursion first, this is the stable @@ -461,7 +496,7 @@ namespace boost t = -t; delta = -delta; } - if(t == 0) + if(t * t == 0) { // // Handle this as a special case, using the formula diff --git a/test/test_nc_t.hpp b/test/test_nc_t.hpp index b04b10ba6..b4fd17fb7 100644 --- a/test/test_nc_t.hpp +++ b/test/test_nc_t.hpp @@ -299,6 +299,22 @@ void test_spots(RealType) BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(126, 2), 4), static_cast(5.797932289365814702402873546466798025787e-2L), tolerance); BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(126, 2), 0), static_cast(5.388394890639957139696546086044839573749e-2L), tolerance); + // Tests ultimately derived from https://github.com/scipy/scipy/issues/20693 + BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(8, 16), 0), static_cast(9.9467084610854116569233495190046171e-57L), tolerance); + BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(8, 16), boost::math::tools::min_value()), static_cast(9.9467084610854116569233495190046171e-57L), tolerance); + BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(8, 16), -boost::math::tools::min_value()), static_cast(9.9467084610854116569233495190046171e-57L), tolerance); + BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(8, 16), -0.125), static_cast(1.4095889399390926611629593059778035e-57L), tolerance); + BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(8, 16), -1e-16), static_cast(9.9467084610853952383141848485633491e-57L), tolerance); + BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(8, 16), 1e-16), static_cast(9.9467084610854280755325141894744198e-57L), tolerance); + BOOST_CHECK_CLOSE(pdf(boost::math::non_central_t_distribution(8, 16), 0.125), static_cast(8.7874127030564572234218759603362e-56L), tolerance); + BOOST_CHECK_CLOSE(cdf(boost::math::non_central_t_distribution(8, 16), 0), static_cast(6.3887544005380872812754825749176666e-58L), tolerance); + BOOST_CHECK_CLOSE(cdf(boost::math::non_central_t_distribution(8, 16), boost::math::tools::min_value()), static_cast(6.3887544005380872812754825749176666e-58L), tolerance); + BOOST_CHECK_CLOSE(cdf(boost::math::non_central_t_distribution(8, 16), -boost::math::tools::min_value()), static_cast(6.3887544005380872812754825749176666e-58L), tolerance); + BOOST_CHECK_CLOSE(cdf(boost::math::non_central_t_distribution(8, 16), -0.125), static_cast(1.0189377690928162394097857383628309e-58L), tolerance); + BOOST_CHECK_CLOSE(cdf(boost::math::non_central_t_distribution(8, 16), -1e-16), static_cast(6.3887544005380773345670214895144269e-58L), tolerance); + BOOST_CHECK_CLOSE(cdf(boost::math::non_central_t_distribution(8, 16), 1e-16), static_cast(6.3887544005380972279839436603373249e-58L), tolerance); + BOOST_CHECK_CLOSE(cdf(boost::math::non_central_t_distribution(8, 16), 0.125), static_cast(5.0299048839141484925784179651886214e-57L), tolerance); + // Error handling checks: //check_out_of_range >(1, 1); // Fails one check because df for this distribution *can* be infinity. BOOST_MATH_CHECK_THROW(pdf(boost::math::non_central_t_distribution(0, 1), 0), std::domain_error); From 92f5e2b1ca1a394e637bdf065002e640849f1e34 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 17 May 2024 10:26:21 +0100 Subject: [PATCH 26/58] Correct loop termination conditions. --- include/boost/math/distributions/non_central_beta.hpp | 8 ++++---- include/boost/math/distributions/non_central_t.hpp | 4 ++-- 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/include/boost/math/distributions/non_central_beta.hpp b/include/boost/math/distributions/non_central_beta.hpp index cf649243e..33d915057 100644 --- a/include/boost/math/distributions/non_central_beta.hpp +++ b/include/boost/math/distributions/non_central_beta.hpp @@ -65,8 +65,8 @@ namespace boost while (beta * pois == 0) { - if (k == 0) - break; + if ((k == 0) || (pois == 0)) + return init_val; k /= 2; pois = gamma_p_derivative(T(k + 1), l2, pol); beta = x < y @@ -556,8 +556,8 @@ namespace boost while (beta * pois == 0) { - if (k == 0) - return beta; // Nothing else we can do! + if ((k == 0) || (pois == 0)) + return 0; // Nothing else we can do! // // We only get here when a+k and b are large and x is small, // in that case reduce k (bisect) until both terms are finite: diff --git a/include/boost/math/distributions/non_central_t.hpp b/include/boost/math/distributions/non_central_t.hpp index 3f3ba7e0d..59cb5d14d 100644 --- a/include/boost/math/distributions/non_central_t.hpp +++ b/include/boost/math/distributions/non_central_t.hpp @@ -61,8 +61,8 @@ namespace boost while (beta * pois == 0) { - if (k == 0) - break; + if ((k == 0) || (pois == 0)) + return init_val; k /= 2; pois = gamma_p_derivative(T(k + 1), d2, pol) * tgamma_delta_ratio(T(k + 1), T(0.5f)) From f3e0cde514e444c2e25a3522d05a6e244fb2f23a Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 17 May 2024 19:17:04 +0100 Subject: [PATCH 27/58] Correct float_next(+INF) and float_prior(-INF) Fixes https://github.com/boostorg/math/issues/1132 --- include/boost/math/special_functions/next.hpp | 32 ++++++++++++++----- test/test_next.cpp | 11 +++++-- 2 files changed, 32 insertions(+), 11 deletions(-) diff --git a/include/boost/math/special_functions/next.hpp b/include/boost/math/special_functions/next.hpp index c696b97b5..02a208e4e 100644 --- a/include/boost/math/special_functions/next.hpp +++ b/include/boost/math/special_functions/next.hpp @@ -194,10 +194,14 @@ T float_next_imp(const T& val, const std::true_type&, const Policy& pol) int fpclass = (boost::math::fpclassify)(val); - if((fpclass == (int)FP_NAN) || (fpclass == (int)FP_INFINITE)) + if (fpclass == (int)FP_INFINITE) { - if(val < 0) + if (val < 0) return -tools::max_value(); + return val; // +INF + } + else if (fpclass == (int)FP_NAN) + { return policies::raise_domain_error( function, "Argument must be finite, but got %1%", val, pol); @@ -243,10 +247,14 @@ T float_next_imp(const T& val, const std::false_type&, const Policy& pol) int fpclass = (boost::math::fpclassify)(val); - if((fpclass == (int)FP_NAN) || (fpclass == (int)FP_INFINITE)) + if (fpclass == (int)FP_INFINITE) { - if(val < 0) + if (val < 0) return -tools::max_value(); + return val; // +INF + } + else if (fpclass == (int)FP_NAN) + { return policies::raise_domain_error( function, "Argument must be finite, but got %1%", val, pol); @@ -328,10 +336,14 @@ T float_prior_imp(const T& val, const std::true_type&, const Policy& pol) int fpclass = (boost::math::fpclassify)(val); - if((fpclass == (int)FP_NAN) || (fpclass == (int)FP_INFINITE)) + if (fpclass == (int)FP_INFINITE) { - if(val > 0) + if (val > 0) return tools::max_value(); + return val; // -INF + } + else if (fpclass == (int)FP_NAN) + { return policies::raise_domain_error( function, "Argument must be finite, but got %1%", val, pol); @@ -378,10 +390,14 @@ T float_prior_imp(const T& val, const std::false_type&, const Policy& pol) int fpclass = (boost::math::fpclassify)(val); - if((fpclass == (int)FP_NAN) || (fpclass == (int)FP_INFINITE)) + if (fpclass == (int)FP_INFINITE) { - if(val > 0) + if (val > 0) return tools::max_value(); + return val; // -INF + } + else if (fpclass == (int)FP_NAN) + { return policies::raise_domain_error( function, "Argument must be finite, but got %1%", val, pol); diff --git a/test/test_next.cpp b/test/test_next.cpp index b4f05b437..8bb5f8d99 100644 --- a/test/test_next.cpp +++ b/test/test_next.cpp @@ -171,12 +171,12 @@ void test_values(const T& val, const char* name) BOOST_CHECK_EQUAL(boost::math::float_advance(val, primes[i]), v1); BOOST_CHECK_EQUAL(boost::math::float_advance(val, -primes[i]), v2); } - if(std::numeric_limits::is_specialized && (std::numeric_limits::has_infinity)) + BOOST_IF_CONSTEXPR(std::numeric_limits::is_specialized && (std::numeric_limits::has_infinity)) { BOOST_CHECK_EQUAL(boost::math::float_prior(std::numeric_limits::infinity()), (std::numeric_limits::max)()); BOOST_CHECK_EQUAL(boost::math::float_next(-std::numeric_limits::infinity()), -(std::numeric_limits::max)()); - BOOST_MATH_CHECK_THROW(boost::math::float_prior(-std::numeric_limits::infinity()), std::domain_error); - BOOST_MATH_CHECK_THROW(boost::math::float_next(std::numeric_limits::infinity()), std::domain_error); + BOOST_CHECK_EQUAL(boost::math::float_prior(-std::numeric_limits::infinity()), -std::numeric_limits::infinity()); + BOOST_CHECK_EQUAL(boost::math::float_next(std::numeric_limits::infinity()), std::numeric_limits::infinity()); if(boost::math::policies:: BOOST_MATH_OVERFLOW_ERROR_POLICY == boost::math::policies::throw_on_error) { BOOST_MATH_CHECK_THROW(boost::math::float_prior(-(std::numeric_limits::max)()), std::overflow_error); @@ -188,6 +188,11 @@ void test_values(const T& val, const char* name) BOOST_CHECK_EQUAL(boost::math::float_next((std::numeric_limits::max)()), std::numeric_limits::infinity()); } } + BOOST_IF_CONSTEXPR(std::numeric_limits::is_specialized && (std::numeric_limits::has_quiet_NaN)) + { + BOOST_MATH_CHECK_THROW(boost::math::float_prior((std::numeric_limits::quiet_NaN)()), std::domain_error); + BOOST_MATH_CHECK_THROW(boost::math::float_next((std::numeric_limits::quiet_NaN)()), std::domain_error); + } // // We need to test float_distance over multiple orders of magnitude, // the only way to get an accurate true result is to count the representations From 7048e7ccc92bdcb158843b33a2f52f126f2ad14e Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 17 May 2024 19:31:56 +0100 Subject: [PATCH 28/58] Correct decimal test case. --- test/test_next_decimal.cpp | 11 ++++++++--- 1 file changed, 8 insertions(+), 3 deletions(-) diff --git a/test/test_next_decimal.cpp b/test/test_next_decimal.cpp index 07d59aa87..6827a9339 100644 --- a/test/test_next_decimal.cpp +++ b/test/test_next_decimal.cpp @@ -176,12 +176,12 @@ void test_values(const T& val, const char* name) BOOST_CHECK_EQUAL(boost::math::float_advance(val, primes[i]), v1); BOOST_CHECK_EQUAL(boost::math::float_advance(val, -primes[i]), v2); } - if(std::numeric_limits::is_specialized && (std::numeric_limits::has_infinity)) + BOOST_IF_CONSTEXPR(std::numeric_limits::is_specialized && (std::numeric_limits::has_infinity)) { BOOST_CHECK_EQUAL(boost::math::float_prior(std::numeric_limits::infinity()), (std::numeric_limits::max)()); BOOST_CHECK_EQUAL(boost::math::float_next(-std::numeric_limits::infinity()), -(std::numeric_limits::max)()); - BOOST_MATH_CHECK_THROW(boost::math::float_prior(-std::numeric_limits::infinity()), std::domain_error); - BOOST_MATH_CHECK_THROW(boost::math::float_next(std::numeric_limits::infinity()), std::domain_error); + BOOST_CHECK_EQUAL(boost::math::float_prior(-std::numeric_limits::infinity()), -std::numeric_limits::infinity()); + BOOST_CHECK_EQUAL(boost::math::float_next(std::numeric_limits::infinity()), std::numeric_limits::infinity()); if(boost::math::policies:: BOOST_MATH_OVERFLOW_ERROR_POLICY == boost::math::policies::throw_on_error) { BOOST_MATH_CHECK_THROW(boost::math::float_prior(-(std::numeric_limits::max)()), std::overflow_error); @@ -193,6 +193,11 @@ void test_values(const T& val, const char* name) BOOST_CHECK_EQUAL(boost::math::float_next((std::numeric_limits::max)()), std::numeric_limits::infinity()); } } + BOOST_IF_CONSTEXPR(std::numeric_limits::is_specialized && (std::numeric_limits::has_quiet_NaN)) + { + BOOST_MATH_CHECK_THROW(boost::math::float_prior(std::numeric_limits::quiet_NaN()), std::domain_error); + BOOST_MATH_CHECK_THROW(boost::math::float_next(std::numeric_limits::quiet_NaN()), std::domain_error); + } } BOOST_AUTO_TEST_CASE( test_main ) From 4200543408edd5891079052a2fd3a4cbc1e1538a Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 21 May 2024 08:45:15 +0200 Subject: [PATCH 29/58] Remove MSVC-14.0 --- .github/workflows/ci.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 4ab36ec74..073ab21cc 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -185,7 +185,7 @@ jobs: strategy: fail-fast: false matrix: - toolset: [ msvc-14.0, msvc-14.2 ] + toolset: [ msvc-14.2 ] standard: [ 14, 17 ] suite: [ github_ci_block_1, github_ci_block_2 ] steps: From 993842ffdd09ddf3ae8ffc2e5a7d8c8432541740 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 21 May 2024 08:45:40 +0200 Subject: [PATCH 30/58] Add clang 15, 16, 17, 18 and GCC 14 --- .drone.star | 11 ++++++----- .github/workflows/ci.yml | 4 ++-- 2 files changed, 8 insertions(+), 7 deletions(-) diff --git a/.drone.star b/.drone.star index 3a6a4739d..3fe60b42d 100644 --- a/.drone.star +++ b/.drone.star @@ -32,10 +32,10 @@ def main(ctx): # # Sanitizers: # - result.append(linux_cxx("Ubuntu g++-12 C++20 ASAN" + " " + suite, "g++-12", packages="g++-12", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2204:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-12', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=address -fsanitize=address -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) - result.append(linux_cxx("Ubuntu g++-12 C++20 USAN" + " " + suite, "g++-12", packages="g++-12", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2204:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-12', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=undefined -fsanitize=undefined -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) - result.append(linux_cxx("Ubuntu g++-12 C++20 TSAN" + " " + suite, "g++-12", packages="g++-12", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2204:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-12', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=thread -fsanitize=thread -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) - result.append(linux_cxx("Ubuntu clang++-14 C++20 ISAN" + " " + suite, "clang++-14", packages="clang-14", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2204:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-14', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=integer -fsanitize=integer' }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu g++-14 C++20 ASAN" + " " + suite, "g++-14", packages="g++-14", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-14', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=address -fsanitize=address -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu g++-14 C++20 USAN" + " " + suite, "g++-14", packages="g++-14", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-14', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=undefined -fsanitize=undefined -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu g++-14 C++20 TSAN" + " " + suite, "g++-14", packages="g++-14", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-14', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=thread -fsanitize=thread -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu clang++-18 C++20 ISAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=integer -fsanitize=integer' }, globalenv=globalenv)) for suite in things_to_test: for cxx in gnu_5_stds: @@ -63,7 +63,8 @@ def main(ctx): result.append(osx_cxx("M1 Clang " + cxx + " " + suite, "clang++", buildscript="drone", buildtype="boost", xcode_version="14.1", environment={'TOOLSET': 'clang', 'CXXSTD': cxx, 'TEST_SUITE': suite, 'DEFINE': 'BOOST_MATH_NO_REAL_CONCEPT_TESTS,BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS,BOOST_MATH_MULTI_ARCH_CI_RUN', }, globalenv=globalenv)) for suite in gcc13_things_to_test: for cxx in gcc13_stds: - result.append(linux_cxx("Ubuntu g++-13 " + cxx + " " + suite, "g++-13", packages="g++-13", buildtype="boost", image="cppalliance/droneubuntu2304:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-13', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu g++-13 " + cxx + " " + suite, "g++-13", packages="g++-13", buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-13', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu g++-14 " + cxx + " " + suite, "g++-14", packages="g++-14", buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-14', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv)) return result diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 073ab21cc..13c8c7c7d 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -24,7 +24,7 @@ jobs: strategy: fail-fast: false matrix: - compiler: [ g++-12, clang++-14 ] + compiler: [ g++-12, clang++-14, clang++-15, clang++-16, clang++-17 ] standard: [ c++14, c++17 ] suite: [ github_ci_block_1, github_ci_block_2 ] steps: @@ -48,7 +48,7 @@ jobs: if: steps.retry1.outcome=='failure' run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" - name: Install packages - run: sudo apt-get install -y g++-12 clang-14 libgmp-dev libmpfr-dev libfftw3-dev + run: sudo apt-get install -y g++-12 clang-14 clang-15 clang-16 clang-17 libgmp-dev libmpfr-dev libfftw3-dev - name: Checkout main boost run: git clone -b develop --depth 1 https://github.com/boostorg/boost.git ../boost-root - name: Update tools/boostdep From 0d9707dcbf93287ab25ba8f1a755472683423950 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 21 May 2024 09:55:26 +0200 Subject: [PATCH 31/58] Update OS for clang-17 and add clang-18 --- .github/workflows/ci.yml | 64 ++++++++++++++++++++++++++++++++++++++-- 1 file changed, 62 insertions(+), 2 deletions(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 13c8c7c7d..ff4afbf9e 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -19,12 +19,72 @@ concurrency: cancel-in-progress: true jobs: + ubuntu-noble: + runs-on: ubuntu-24.04 + strategy: + fail-fast: false + matrix: + compiler: [ g++-13, g++-14, clang++-17, clang++-18 ] + standard: [ c++20, c++23 ] + suite: [ github_ci_block_1, github_ci_block_2 ] + steps: + - uses: actions/checkout@v4 + with: + fetch-depth: '0' + - name: Set TOOLSET + run: echo ${{ matrix.compiler }} | awk '/^g/ { print "TOOLSET=gcc" } /^clang/ { print "TOOLSET=clang" }' >> $GITHUB_ENV + - name: Add repository + continue-on-error: true + id: addrepo + run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" + - name: Retry Add Repo + continue-on-error: true + id: retry1 + if: steps.addrepo.outcome=='failure' + run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" + - name: Retry Add Repo 2 + continue-on-error: true + id: retry2 + if: steps.retry1.outcome=='failure' + run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" + - name: Install packages + run: sudo apt-get install -y g++-13 g++-14 clang-17 clang-18 libgmp-dev libmpfr-dev libfftw3-dev + - name: Checkout main boost + run: git clone -b develop --depth 1 https://github.com/boostorg/boost.git ../boost-root + - name: Update tools/boostdep + run: git submodule update --init tools/boostdep + working-directory: ../boost-root + - name: Copy files + run: cp -r $GITHUB_WORKSPACE/* libs/math + working-directory: ../boost-root + - name: Install deps + run: python tools/boostdep/depinst/depinst.py math -I example -I tools + working-directory: ../boost-root + - name: Bootstrap + run: ./bootstrap.sh + working-directory: ../boost-root + - name: Generate headers + run: ./b2 headers + working-directory: ../boost-root + - name: Generate user config + run: 'echo "using $TOOLSET : : ${{ matrix.compiler }} : -std=${{ matrix.standard }} ;" > ~/user-config.jam' + working-directory: ../boost-root + - name: Config info install + run: ../../../b2 config_info_travis_install toolset=$TOOLSET + working-directory: ../boost-root/libs/config/test + - name: Config info + run: ./config_info_travis + working-directory: ../boost-root/libs/config/test + - name: Test + run: ../../../b2 toolset=$TOOLSET ${{ matrix.suite }} define=CI_SUPPRESS_KNOWN_ISSUES define=SLOW_COMPILER define=BOOST_MATH_RUN_MP_TESTS + working-directory: ../boost-root/libs/math/test + ubuntu-jammy: runs-on: ubuntu-22.04 strategy: fail-fast: false matrix: - compiler: [ g++-12, clang++-14, clang++-15, clang++-16, clang++-17 ] + compiler: [ g++-12, clang++-14, clang++-15, clang++-16 ] standard: [ c++14, c++17 ] suite: [ github_ci_block_1, github_ci_block_2 ] steps: @@ -48,7 +108,7 @@ jobs: if: steps.retry1.outcome=='failure' run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" - name: Install packages - run: sudo apt-get install -y g++-12 clang-14 clang-15 clang-16 clang-17 libgmp-dev libmpfr-dev libfftw3-dev + run: sudo apt-get install -y g++-12 clang-14 clang-15 clang-16 libgmp-dev libmpfr-dev libfftw3-dev - name: Checkout main boost run: git clone -b develop --depth 1 https://github.com/boostorg/boost.git ../boost-root - name: Update tools/boostdep From 993f0822173028d79c9e9ffb864300338fb3c538 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 21 May 2024 10:01:42 +0200 Subject: [PATCH 32/58] Change clang-16 OS --- .github/workflows/ci.yml | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index ff4afbf9e..8ebcdd2bf 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -24,7 +24,7 @@ jobs: strategy: fail-fast: false matrix: - compiler: [ g++-13, g++-14, clang++-17, clang++-18 ] + compiler: [ g++-13, g++-14, clang++-16, clang++-17, clang++-18 ] standard: [ c++20, c++23 ] suite: [ github_ci_block_1, github_ci_block_2 ] steps: @@ -48,7 +48,7 @@ jobs: if: steps.retry1.outcome=='failure' run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" - name: Install packages - run: sudo apt-get install -y g++-13 g++-14 clang-17 clang-18 libgmp-dev libmpfr-dev libfftw3-dev + run: sudo apt-get install -y g++-13 g++-14 clang-16 clang-17 clang-18 libgmp-dev libmpfr-dev libfftw3-dev - name: Checkout main boost run: git clone -b develop --depth 1 https://github.com/boostorg/boost.git ../boost-root - name: Update tools/boostdep @@ -84,7 +84,7 @@ jobs: strategy: fail-fast: false matrix: - compiler: [ g++-12, clang++-14, clang++-15, clang++-16 ] + compiler: [ g++-12, clang++-14, clang++-15 ] standard: [ c++14, c++17 ] suite: [ github_ci_block_1, github_ci_block_2 ] steps: @@ -108,7 +108,7 @@ jobs: if: steps.retry1.outcome=='failure' run: sudo apt-add-repository -y "ppa:ubuntu-toolchain-r/test" - name: Install packages - run: sudo apt-get install -y g++-12 clang-14 clang-15 clang-16 libgmp-dev libmpfr-dev libfftw3-dev + run: sudo apt-get install -y g++-12 clang-14 clang-15 libgmp-dev libmpfr-dev libfftw3-dev - name: Checkout main boost run: git clone -b develop --depth 1 https://github.com/boostorg/boost.git ../boost-root - name: Update tools/boostdep From 851ebe031c83d5bfd0fcc4f59576525cdf0cae90 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 21 May 2024 10:08:56 +0200 Subject: [PATCH 33/58] Change language standard --- .github/workflows/ci.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 8ebcdd2bf..ef0095aad 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -25,7 +25,7 @@ jobs: fail-fast: false matrix: compiler: [ g++-13, g++-14, clang++-16, clang++-17, clang++-18 ] - standard: [ c++20, c++23 ] + standard: [ c++20 ] suite: [ github_ci_block_1, github_ci_block_2 ] steps: - uses: actions/checkout@v4 From 9b3b9beec5ce986ae20f651f6ac7262faa3dc716 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Wed, 22 May 2024 08:58:58 +0200 Subject: [PATCH 34/58] Add guards to avoid stomping on user config --- include/boost/math/tools/config.hpp | 62 +++++++++++++++++++---------- 1 file changed, 41 insertions(+), 21 deletions(-) diff --git a/include/boost/math/tools/config.hpp b/include/boost/math/tools/config.hpp index 9e4b7d7ca..6d962a08a 100644 --- a/include/boost/math/tools/config.hpp +++ b/include/boost/math/tools/config.hpp @@ -365,42 +365,62 @@ struct non_type {}; #endif // -// Tune performance options for specific compilers: +// Tune performance options for specific compilers, +// but check at each step that nothing has been previously defined by the user first // #ifdef _MSC_VER -# define BOOST_MATH_POLY_METHOD 2 +# ifndef BOOST_MATH_POLY_METHOD +# define BOOST_MATH_POLY_METHOD 2 +# endif #if _MSC_VER <= 1900 -# define BOOST_MATH_RATIONAL_METHOD 1 +# ifndef BOOST_MATH_POLY_METHOD +# define BOOST_MATH_RATIONAL_METHOD 1 +# endif #else -# define BOOST_MATH_RATIONAL_METHOD 2 +# ifndef BOOST_MATH_RATIONAL_METHOD +# define BOOST_MATH_RATIONAL_METHOD 2 +# endif #endif #if _MSC_VER > 1900 -# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT -# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L +# ifndef BOOST_MATH_INT_TABLE_TYPE +# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT +# endif +# ifndef BOOST_MATH_INT_VALUE_SUFFIX +# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L +# endif #endif #elif defined(__INTEL_COMPILER) -# define BOOST_MATH_POLY_METHOD 2 -# define BOOST_MATH_RATIONAL_METHOD 1 +# ifndef BOOST_MATH_POLY_METHOD +# define BOOST_MATH_POLY_METHOD 2 +# endif +# ifndef BOOST_MATH_RATIONAL_METHOD +# define BOOST_MATH_RATIONAL_METHOD 1 +# endif #elif defined(__GNUC__) -#if __GNUC__ < 4 -# define BOOST_MATH_POLY_METHOD 3 -# define BOOST_MATH_RATIONAL_METHOD 3 -# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT -# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L -#else -# define BOOST_MATH_POLY_METHOD 3 -# define BOOST_MATH_RATIONAL_METHOD 3 -#endif +# ifndef BOOST_MATH_POLY_METHOD +# define BOOST_MATH_POLY_METHOD 3 +# endif +# ifndef BOOST_MATH_RATIONAL_METHOD +# define BOOST_MATH_RATIONAL_METHOD 3 +# endif #elif defined(__clang__) #if __clang__ > 6 -# define BOOST_MATH_POLY_METHOD 3 -# define BOOST_MATH_RATIONAL_METHOD 3 -# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT -# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L +# ifndef BOOST_MATH_POLY_METHOD +# define BOOST_MATH_POLY_METHOD 3 +# endif +# ifndef BOOST_MATH_RATIONAL_METHOD +# define BOOST_MATH_RATIONAL_METHOD 3 +# endif +# ifndef BOOST_MATH_INT_TABLE_TYPE +# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT +# endif +# ifndef BOOST_MATH_INT_VALUE_SUFFIX +# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L +# endif #endif #endif From 7d85d73c837e1d47a71f827017a2a21ee58c5afe Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Wed, 22 May 2024 08:59:04 +0200 Subject: [PATCH 35/58] Add test set --- test/Jamfile.v2 | 1 + test/git_issue_1137.cpp | 19 +++++++++++++++++++ 2 files changed, 20 insertions(+) create mode 100644 test/git_issue_1137.cpp diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index 394f3d36f..9571cd4ea 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -172,6 +172,7 @@ test-suite special_fun : [ run git_issue_961.cpp ] [ run git_issue_1006.cpp ] [ run git_issue_184.cpp ] + [ run git_issue_1137.cpp ] [ run special_functions_test.cpp ../../test/build//boost_unit_test_framework ] [ run test_airy.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ] [ run test_bessel_j.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ] diff --git a/test/git_issue_1137.cpp b/test/git_issue_1137.cpp new file mode 100644 index 000000000..268edd83a --- /dev/null +++ b/test/git_issue_1137.cpp @@ -0,0 +1,19 @@ +// Copyright Matt Borland 2024. +// 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) +// +// See: https://github.com/boostorg/math/issues/1137 + +#define BOOST_MATH_POLY_METHOD 0 +#define BOOST_MATH_RATIONAL_METHOD 0 + +#include + +int main() +{ + static_assert(BOOST_MATH_POLY_METHOD == 0, "User defined as 0"); + static_assert(BOOST_MATH_RATIONAL_METHOD == 0, "User defined as 0"); + + return 0; +} From e10b34fee7358162f658be5b24f8dd09dc724072 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Thu, 23 May 2024 10:59:38 +0200 Subject: [PATCH 36/58] Disable test on mac for now --- test/test_autodiff_5.cpp | 2 ++ 1 file changed, 2 insertions(+) diff --git a/test/test_autodiff_5.cpp b/test/test_autodiff_5.cpp index 8c875c31f..966568cc5 100644 --- a/test/test_autodiff_5.cpp +++ b/test/test_autodiff_5.cpp @@ -46,6 +46,7 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(cbrt_hpp, T, all_float_types) { } } +#if !defined(__APPLE__) BOOST_AUTO_TEST_CASE_TEMPLATE(chebyshev_hpp, T, all_float_types) { using test_constants = test_constants_t; static constexpr auto m = test_constants::order; @@ -87,6 +88,7 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(chebyshev_hpp, T, all_float_types) { } } } +#endif BOOST_AUTO_TEST_CASE_TEMPLATE(cospi_hpp, T, all_float_types) { using test_constants = test_constants_t; From 1ec166172bb9b1dbcc027b09070911ce1907e3a0 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Thu, 23 May 2024 11:23:24 +0200 Subject: [PATCH 37/58] Move GCC-13 to only drone since GHA gives SIGTERM --- .github/workflows/ci.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index ef0095aad..cdd5404fc 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -24,7 +24,7 @@ jobs: strategy: fail-fast: false matrix: - compiler: [ g++-13, g++-14, clang++-16, clang++-17, clang++-18 ] + compiler: [ g++-14, clang++-16, clang++-17, clang++-18 ] standard: [ c++20 ] suite: [ github_ci_block_1, github_ci_block_2 ] steps: From 0b2aa546dd4d0b895b592df6da53b96953b3761e Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Thu, 23 May 2024 19:05:39 +0100 Subject: [PATCH 38/58] Prevent passing denormals in calculation. Refs https://github.com/scipy/scipy/issues/20693 --- include/boost/math/distributions/non_central_beta.hpp | 4 ++-- include/boost/math/distributions/non_central_t.hpp | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/include/boost/math/distributions/non_central_beta.hpp b/include/boost/math/distributions/non_central_beta.hpp index 33d915057..2361b5829 100644 --- a/include/boost/math/distributions/non_central_beta.hpp +++ b/include/boost/math/distributions/non_central_beta.hpp @@ -63,7 +63,7 @@ namespace boost ? detail::ibeta_imp(T(a + k), b, x, pol, false, true, &xterm) : detail::ibeta_imp(b, T(a + k), y, pol, true, true, &xterm); - while (beta * pois == 0) + while (beta * pois < tools::min_value()) { if ((k == 0) || (pois == 0)) return init_val; @@ -554,7 +554,7 @@ namespace boost ibeta_derivative(a + k, b, x, pol) : ibeta_derivative(b, a + k, y, pol); - while (beta * pois == 0) + while (beta * pois < tools::min_value()) { if ((k == 0) || (pois == 0)) return 0; // Nothing else we can do! diff --git a/include/boost/math/distributions/non_central_t.hpp b/include/boost/math/distributions/non_central_t.hpp index 59cb5d14d..4841b9d83 100644 --- a/include/boost/math/distributions/non_central_t.hpp +++ b/include/boost/math/distributions/non_central_t.hpp @@ -59,7 +59,7 @@ namespace boost ? detail::ibeta_imp(T(k + 1), T(v / 2), x, pol, false, true, &xterm) : detail::ibeta_imp(T(v / 2), T(k + 1), y, pol, true, true, &xterm); - while (beta * pois == 0) + while (beta * pois < tools::min_value()) { if ((k == 0) || (pois == 0)) return init_val; @@ -419,7 +419,7 @@ namespace boost : ibeta_derivative(n / 2, T(k + 1), y, pol); BOOST_MATH_INSTRUMENT_VARIABLE(xterm); - while (xterm * pois == 0) + while (fabs(xterm * pois) < tools::min_value()) { if (k == 0) return init_val; From 5e7fec6a11b06ee89eddabc293887e3bb1446120 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 24 May 2024 10:22:35 +0100 Subject: [PATCH 39/58] Poisson part can be negative, take fabs of product when checking for small values. --- include/boost/math/distributions/non_central_beta.hpp | 4 ++-- include/boost/math/distributions/non_central_t.hpp | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/include/boost/math/distributions/non_central_beta.hpp b/include/boost/math/distributions/non_central_beta.hpp index 2361b5829..592ac1951 100644 --- a/include/boost/math/distributions/non_central_beta.hpp +++ b/include/boost/math/distributions/non_central_beta.hpp @@ -63,7 +63,7 @@ namespace boost ? detail::ibeta_imp(T(a + k), b, x, pol, false, true, &xterm) : detail::ibeta_imp(b, T(a + k), y, pol, true, true, &xterm); - while (beta * pois < tools::min_value()) + while (fabs(beta * pois) < tools::min_value()) { if ((k == 0) || (pois == 0)) return init_val; @@ -554,7 +554,7 @@ namespace boost ibeta_derivative(a + k, b, x, pol) : ibeta_derivative(b, a + k, y, pol); - while (beta * pois < tools::min_value()) + while (fabs(beta * pois) < tools::min_value()) { if ((k == 0) || (pois == 0)) return 0; // Nothing else we can do! diff --git a/include/boost/math/distributions/non_central_t.hpp b/include/boost/math/distributions/non_central_t.hpp index 4841b9d83..ca3e9d53f 100644 --- a/include/boost/math/distributions/non_central_t.hpp +++ b/include/boost/math/distributions/non_central_t.hpp @@ -59,7 +59,7 @@ namespace boost ? detail::ibeta_imp(T(k + 1), T(v / 2), x, pol, false, true, &xterm) : detail::ibeta_imp(T(v / 2), T(k + 1), y, pol, true, true, &xterm); - while (beta * pois < tools::min_value()) + while (fabs(beta * pois) < tools::min_value()) { if ((k == 0) || (pois == 0)) return init_val; From f4e547c2d857581112cfed375fe1c94e63e8b4a7 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Thu, 30 May 2024 08:42:12 +0200 Subject: [PATCH 40/58] Change generation to abs x<=1 --- tools/generate_rational_code.cpp | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/tools/generate_rational_code.cpp b/tools/generate_rational_code.cpp index 833f2790b..2da7e000e 100644 --- a/tools/generate_rational_code.cpp +++ b/tools/generate_rational_code.cpp @@ -298,7 +298,7 @@ void print_rationals(int max_order) "template \n" "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*)\n" "{\n" - " if(x <= 1)\n" + " if((-1 <= x) && (x <= 1))\n" " return static_cast(("; for(int bracket = 2; bracket < order; ++bracket) @@ -393,7 +393,7 @@ void print_rationals(int max_order) "template \n" "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*)\n" "{\n" - " if(x <= 1)\n {\n" + " if((-1 <= x) && (x <= 1))\n {\n" " V x2 = x * x;\n" " return static_cast(("; @@ -609,7 +609,7 @@ void print_rationals(int max_order) "template \n" "inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*)\n" "{\n" - " if(x <= 1)\n {\n" + " if((-1 <= x) && (x <= 1))\n {\n" " V x2 = x * x;\n" " V t[4];\n"; From 76c68889ff5d40f3441e0d4162ffb6ee2eff778b Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Thu, 30 May 2024 08:47:12 +0200 Subject: [PATCH 41/58] Regenerate code --- .../math/tools/detail/rational_horner1_10.hpp | 18 ++++----- .../math/tools/detail/rational_horner1_11.hpp | 20 +++++----- .../math/tools/detail/rational_horner1_12.hpp | 22 +++++------ .../math/tools/detail/rational_horner1_13.hpp | 24 ++++++------ .../math/tools/detail/rational_horner1_14.hpp | 26 ++++++------- .../math/tools/detail/rational_horner1_15.hpp | 28 +++++++------- .../math/tools/detail/rational_horner1_16.hpp | 30 +++++++-------- .../math/tools/detail/rational_horner1_17.hpp | 32 ++++++++-------- .../math/tools/detail/rational_horner1_18.hpp | 34 ++++++++--------- .../math/tools/detail/rational_horner1_19.hpp | 36 +++++++++--------- .../math/tools/detail/rational_horner1_2.hpp | 2 +- .../math/tools/detail/rational_horner1_20.hpp | 38 +++++++++---------- .../math/tools/detail/rational_horner1_3.hpp | 4 +- .../math/tools/detail/rational_horner1_4.hpp | 6 +-- .../math/tools/detail/rational_horner1_5.hpp | 8 ++-- .../math/tools/detail/rational_horner1_6.hpp | 10 ++--- .../math/tools/detail/rational_horner1_7.hpp | 12 +++--- .../math/tools/detail/rational_horner1_8.hpp | 14 +++---- .../math/tools/detail/rational_horner1_9.hpp | 16 ++++---- .../math/tools/detail/rational_horner2_10.hpp | 12 +++--- .../math/tools/detail/rational_horner2_11.hpp | 14 +++---- .../math/tools/detail/rational_horner2_12.hpp | 16 ++++---- .../math/tools/detail/rational_horner2_13.hpp | 18 ++++----- .../math/tools/detail/rational_horner2_14.hpp | 20 +++++----- .../math/tools/detail/rational_horner2_15.hpp | 22 +++++------ .../math/tools/detail/rational_horner2_16.hpp | 24 ++++++------ .../math/tools/detail/rational_horner2_17.hpp | 26 ++++++------- .../math/tools/detail/rational_horner2_18.hpp | 28 +++++++------- .../math/tools/detail/rational_horner2_19.hpp | 30 +++++++-------- .../math/tools/detail/rational_horner2_20.hpp | 32 ++++++++-------- .../math/tools/detail/rational_horner2_5.hpp | 2 +- .../math/tools/detail/rational_horner2_6.hpp | 4 +- .../math/tools/detail/rational_horner2_7.hpp | 6 +-- .../math/tools/detail/rational_horner2_8.hpp | 8 ++-- .../math/tools/detail/rational_horner2_9.hpp | 10 ++--- .../math/tools/detail/rational_horner3_10.hpp | 12 +++--- .../math/tools/detail/rational_horner3_11.hpp | 14 +++---- .../math/tools/detail/rational_horner3_12.hpp | 16 ++++---- .../math/tools/detail/rational_horner3_13.hpp | 18 ++++----- .../math/tools/detail/rational_horner3_14.hpp | 20 +++++----- .../math/tools/detail/rational_horner3_15.hpp | 22 +++++------ .../math/tools/detail/rational_horner3_16.hpp | 24 ++++++------ .../math/tools/detail/rational_horner3_17.hpp | 26 ++++++------- .../math/tools/detail/rational_horner3_18.hpp | 28 +++++++------- .../math/tools/detail/rational_horner3_19.hpp | 30 +++++++-------- .../math/tools/detail/rational_horner3_20.hpp | 32 ++++++++-------- .../math/tools/detail/rational_horner3_5.hpp | 2 +- .../math/tools/detail/rational_horner3_6.hpp | 4 +- .../math/tools/detail/rational_horner3_7.hpp | 6 +-- .../math/tools/detail/rational_horner3_8.hpp | 8 ++-- .../math/tools/detail/rational_horner3_9.hpp | 10 ++--- 51 files changed, 462 insertions(+), 462 deletions(-) diff --git a/include/boost/math/tools/detail/rational_horner1_10.hpp b/include/boost/math/tools/detail/rational_horner1_10.hpp index dd23e0d7b..6a04128ca 100644 --- a/include/boost/math/tools/detail/rational_horner1_10.hpp +++ b/include/boost/math/tools/detail/rational_horner1_10.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_11.hpp b/include/boost/math/tools/detail/rational_horner1_11.hpp index 7ca35d39f..d43e53433 100644 --- a/include/boost/math/tools/detail/rational_horner1_11.hpp +++ b/include/boost/math/tools/detail/rational_horner1_11.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_12.hpp b/include/boost/math/tools/detail/rational_horner1_12.hpp index 5ee313852..33d19eb38 100644 --- a/include/boost/math/tools/detail/rational_horner1_12.hpp +++ b/include/boost/math/tools/detail/rational_horner1_12.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_13.hpp b/include/boost/math/tools/detail/rational_horner1_13.hpp index 6e675777a..2069aa515 100644 --- a/include/boost/math/tools/detail/rational_horner1_13.hpp +++ b/include/boost/math/tools/detail/rational_horner1_13.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -158,7 +158,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_14.hpp b/include/boost/math/tools/detail/rational_horner1_14.hpp index b8e5f7b2e..5ebcde626 100644 --- a/include/boost/math/tools/detail/rational_horner1_14.hpp +++ b/include/boost/math/tools/detail/rational_horner1_14.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -158,7 +158,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_15.hpp b/include/boost/math/tools/detail/rational_horner1_15.hpp index 801f4439b..9da8e1b71 100644 --- a/include/boost/math/tools/detail/rational_horner1_15.hpp +++ b/include/boost/math/tools/detail/rational_horner1_15.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -158,7 +158,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_16.hpp b/include/boost/math/tools/detail/rational_horner1_16.hpp index b0f8cbb03..203ba7819 100644 --- a/include/boost/math/tools/detail/rational_horner1_16.hpp +++ b/include/boost/math/tools/detail/rational_horner1_16.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -158,7 +158,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -194,7 +194,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_17.hpp b/include/boost/math/tools/detail/rational_horner1_17.hpp index 32759b831..e382d2931 100644 --- a/include/boost/math/tools/detail/rational_horner1_17.hpp +++ b/include/boost/math/tools/detail/rational_horner1_17.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -158,7 +158,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -194,7 +194,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -206,7 +206,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((b[16] * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_18.hpp b/include/boost/math/tools/detail/rational_horner1_18.hpp index 6c91a930d..66f668ee3 100644 --- a/include/boost/math/tools/detail/rational_horner1_18.hpp +++ b/include/boost/math/tools/detail/rational_horner1_18.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -158,7 +158,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -194,7 +194,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -206,7 +206,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((b[16] * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -218,7 +218,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((((b[17] * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_19.hpp b/include/boost/math/tools/detail/rational_horner1_19.hpp index 8c9e08315..9cd139143 100644 --- a/include/boost/math/tools/detail/rational_horner1_19.hpp +++ b/include/boost/math/tools/detail/rational_horner1_19.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -158,7 +158,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -194,7 +194,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -206,7 +206,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((b[16] * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -218,7 +218,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((((b[17] * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -230,7 +230,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((((((a[18] * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((((b[18] * x + b[17]) * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_2.hpp b/include/boost/math/tools/detail/rational_horner1_2.hpp index 605bb0424..f42cbfc64 100644 --- a/include/boost/math/tools/detail/rational_horner1_2.hpp +++ b/include/boost/math/tools/detail/rational_horner1_2.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_20.hpp b/include/boost/math/tools/detail/rational_horner1_20.hpp index 2c29d6ba8..0a6c2a0f2 100644 --- a/include/boost/math/tools/detail/rational_horner1_20.hpp +++ b/include/boost/math/tools/detail/rational_horner1_20.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -134,7 +134,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -146,7 +146,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -158,7 +158,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -194,7 +194,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -206,7 +206,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((b[16] * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -218,7 +218,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((((b[17] * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -230,7 +230,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((((((((((((a[18] * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((((b[18] * x + b[17]) * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((((((((((((((a[19] * x + a[18]) * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((((((b[19] * x + b[18]) * x + b[17]) * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_3.hpp b/include/boost/math/tools/detail/rational_horner1_3.hpp index 3f16fdf1d..d0ab213b3 100644 --- a/include/boost/math/tools/detail/rational_horner1_3.hpp +++ b/include/boost/math/tools/detail/rational_horner1_3.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_4.hpp b/include/boost/math/tools/detail/rational_horner1_4.hpp index 778a692c8..44f40114a 100644 --- a/include/boost/math/tools/detail/rational_horner1_4.hpp +++ b/include/boost/math/tools/detail/rational_horner1_4.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_5.hpp b/include/boost/math/tools/detail/rational_horner1_5.hpp index 0ae61fca0..db032f15e 100644 --- a/include/boost/math/tools/detail/rational_horner1_5.hpp +++ b/include/boost/math/tools/detail/rational_horner1_5.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_6.hpp b/include/boost/math/tools/detail/rational_horner1_6.hpp index 9e2501696..4de5143ca 100644 --- a/include/boost/math/tools/detail/rational_horner1_6.hpp +++ b/include/boost/math/tools/detail/rational_horner1_6.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_7.hpp b/include/boost/math/tools/detail/rational_horner1_7.hpp index 7dc78d1f9..7d4ef69e9 100644 --- a/include/boost/math/tools/detail/rational_horner1_7.hpp +++ b/include/boost/math/tools/detail/rational_horner1_7.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_8.hpp b/include/boost/math/tools/detail/rational_horner1_8.hpp index 8f5df2c22..bf4d7f57e 100644 --- a/include/boost/math/tools/detail/rational_horner1_8.hpp +++ b/include/boost/math/tools/detail/rational_horner1_8.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner1_9.hpp b/include/boost/math/tools/detail/rational_horner1_9.hpp index a46c9d7aa..cf3be7f82 100644 --- a/include/boost/math/tools/detail/rational_horner1_9.hpp +++ b/include/boost/math/tools/detail/rational_horner1_9.hpp @@ -26,7 +26,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::in template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0])); else { @@ -38,7 +38,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); else { @@ -50,7 +50,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -62,7 +62,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -86,7 +86,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -98,7 +98,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { @@ -110,7 +110,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) return static_cast(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); else { diff --git a/include/boost/math/tools/detail/rational_horner2_10.hpp b/include/boost/math/tools/detail/rational_horner2_10.hpp index f3ff07535..1a59aa334 100644 --- a/include/boost/math/tools/detail/rational_horner2_10.hpp +++ b/include/boost/math/tools/detail/rational_horner2_10.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); diff --git a/include/boost/math/tools/detail/rational_horner2_11.hpp b/include/boost/math/tools/detail/rational_horner2_11.hpp index 250b4ee29..1333a40bc 100644 --- a/include/boost/math/tools/detail/rational_horner2_11.hpp +++ b/include/boost/math/tools/detail/rational_horner2_11.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); diff --git a/include/boost/math/tools/detail/rational_horner2_12.hpp b/include/boost/math/tools/detail/rational_horner2_12.hpp index df2b2771f..a37cf5a05 100644 --- a/include/boost/math/tools/detail/rational_horner2_12.hpp +++ b/include/boost/math/tools/detail/rational_horner2_12.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); diff --git a/include/boost/math/tools/detail/rational_horner2_13.hpp b/include/boost/math/tools/detail/rational_horner2_13.hpp index 2bbc97e4d..648f3079c 100644 --- a/include/boost/math/tools/detail/rational_horner2_13.hpp +++ b/include/boost/math/tools/detail/rational_horner2_13.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -172,7 +172,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); diff --git a/include/boost/math/tools/detail/rational_horner2_14.hpp b/include/boost/math/tools/detail/rational_horner2_14.hpp index 157a844ce..7771c3da9 100644 --- a/include/boost/math/tools/detail/rational_horner2_14.hpp +++ b/include/boost/math/tools/detail/rational_horner2_14.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -172,7 +172,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -188,7 +188,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); diff --git a/include/boost/math/tools/detail/rational_horner2_15.hpp b/include/boost/math/tools/detail/rational_horner2_15.hpp index 9b392bef2..03fae0d94 100644 --- a/include/boost/math/tools/detail/rational_horner2_15.hpp +++ b/include/boost/math/tools/detail/rational_horner2_15.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -172,7 +172,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -188,7 +188,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); diff --git a/include/boost/math/tools/detail/rational_horner2_16.hpp b/include/boost/math/tools/detail/rational_horner2_16.hpp index d884131ad..d8565e104 100644 --- a/include/boost/math/tools/detail/rational_horner2_16.hpp +++ b/include/boost/math/tools/detail/rational_horner2_16.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -172,7 +172,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -188,7 +188,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -220,7 +220,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); diff --git a/include/boost/math/tools/detail/rational_horner2_17.hpp b/include/boost/math/tools/detail/rational_horner2_17.hpp index 87efe07f8..bd8990e0c 100644 --- a/include/boost/math/tools/detail/rational_horner2_17.hpp +++ b/include/boost/math/tools/detail/rational_horner2_17.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -172,7 +172,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -188,7 +188,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -220,7 +220,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -236,7 +236,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((((b[16] * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); diff --git a/include/boost/math/tools/detail/rational_horner2_18.hpp b/include/boost/math/tools/detail/rational_horner2_18.hpp index 6989c6dba..38b99ecf1 100644 --- a/include/boost/math/tools/detail/rational_horner2_18.hpp +++ b/include/boost/math/tools/detail/rational_horner2_18.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -172,7 +172,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -188,7 +188,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -220,7 +220,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -236,7 +236,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((((b[16] * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -252,7 +252,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((((b[17] * x2 + b[15]) * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((((b[16] * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); diff --git a/include/boost/math/tools/detail/rational_horner2_19.hpp b/include/boost/math/tools/detail/rational_horner2_19.hpp index 11d382a5c..b77d2eb0b 100644 --- a/include/boost/math/tools/detail/rational_horner2_19.hpp +++ b/include/boost/math/tools/detail/rational_horner2_19.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -172,7 +172,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -188,7 +188,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -220,7 +220,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -236,7 +236,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((((b[16] * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -252,7 +252,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((((b[17] * x2 + b[15]) * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((((b[16] * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -268,7 +268,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((((a[18] * x2 + a[16]) * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((((((b[18] * x2 + b[16]) * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((((((b[17] * x2 + b[15]) * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); diff --git a/include/boost/math/tools/detail/rational_horner2_20.hpp b/include/boost/math/tools/detail/rational_horner2_20.hpp index 469cbb7ee..485639dce 100644 --- a/include/boost/math/tools/detail/rational_horner2_20.hpp +++ b/include/boost/math/tools/detail/rational_horner2_20.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -124,7 +124,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -140,7 +140,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -172,7 +172,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -188,7 +188,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((((b[13] * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -220,7 +220,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((((b[14] * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -236,7 +236,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((((((b[16] * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((((b[15] * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -252,7 +252,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / (((((((((b[17] * x2 + b[15]) * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((((((b[16] * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -268,7 +268,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((((((((a[18] * x2 + a[16]) * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / (((((((((b[18] * x2 + b[16]) * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((((((b[17] * x2 + b[15]) * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); @@ -284,7 +284,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((((((((a[19] * x2 + a[17]) * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((((a[18] * x2 + a[16]) * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((((((((b[19] * x2 + b[17]) * x2 + b[15]) * x2 + b[13]) * x2 + b[11]) * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((((((b[18] * x2 + b[16]) * x2 + b[14]) * x2 + b[12]) * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); diff --git a/include/boost/math/tools/detail/rational_horner2_5.hpp b/include/boost/math/tools/detail/rational_horner2_5.hpp index e1cf56671..8633d5dc1 100644 --- a/include/boost/math/tools/detail/rational_horner2_5.hpp +++ b/include/boost/math/tools/detail/rational_horner2_5.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); diff --git a/include/boost/math/tools/detail/rational_horner2_6.hpp b/include/boost/math/tools/detail/rational_horner2_6.hpp index 480fcb471..455542633 100644 --- a/include/boost/math/tools/detail/rational_horner2_6.hpp +++ b/include/boost/math/tools/detail/rational_horner2_6.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); diff --git a/include/boost/math/tools/detail/rational_horner2_7.hpp b/include/boost/math/tools/detail/rational_horner2_7.hpp index 9ae76bd3c..6a5c704d1 100644 --- a/include/boost/math/tools/detail/rational_horner2_7.hpp +++ b/include/boost/math/tools/detail/rational_horner2_7.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); diff --git a/include/boost/math/tools/detail/rational_horner2_8.hpp b/include/boost/math/tools/detail/rational_horner2_8.hpp index 2f82d3653..9ec861fc5 100644 --- a/include/boost/math/tools/detail/rational_horner2_8.hpp +++ b/include/boost/math/tools/detail/rational_horner2_8.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); diff --git a/include/boost/math/tools/detail/rational_horner2_9.hpp b/include/boost/math/tools/detail/rational_horner2_9.hpp index e4b222430..c76755cb2 100644 --- a/include/boost/math/tools/detail/rational_horner2_9.hpp +++ b/include/boost/math/tools/detail/rational_horner2_9.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x)); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0])); @@ -76,7 +76,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x)); @@ -92,7 +92,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; return static_cast(((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x)); diff --git a/include/boost/math/tools/detail/rational_horner3_10.hpp b/include/boost/math/tools/detail/rational_horner3_10.hpp index 9b3bdbe92..773532cd5 100644 --- a/include/boost/math/tools/detail/rational_horner3_10.hpp +++ b/include/boost/math/tools/detail/rational_horner3_10.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_11.hpp b/include/boost/math/tools/detail/rational_horner3_11.hpp index dd00d58cf..a712fff09 100644 --- a/include/boost/math/tools/detail/rational_horner3_11.hpp +++ b/include/boost/math/tools/detail/rational_horner3_11.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_12.hpp b/include/boost/math/tools/detail/rational_horner3_12.hpp index bfc53420e..5b87374ab 100644 --- a/include/boost/math/tools/detail/rational_horner3_12.hpp +++ b/include/boost/math/tools/detail/rational_horner3_12.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_13.hpp b/include/boost/math/tools/detail/rational_horner3_13.hpp index c1237d587..11591668b 100644 --- a/include/boost/math/tools/detail/rational_horner3_13.hpp +++ b/include/boost/math/tools/detail/rational_horner3_13.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -572,7 +572,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_14.hpp b/include/boost/math/tools/detail/rational_horner3_14.hpp index 030fa4ec7..04f31249d 100644 --- a/include/boost/math/tools/detail/rational_horner3_14.hpp +++ b/include/boost/math/tools/detail/rational_horner3_14.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -572,7 +572,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -674,7 +674,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_15.hpp b/include/boost/math/tools/detail/rational_horner3_15.hpp index 925267548..4b9cffd48 100644 --- a/include/boost/math/tools/detail/rational_horner3_15.hpp +++ b/include/boost/math/tools/detail/rational_horner3_15.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -572,7 +572,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -674,7 +674,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -784,7 +784,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_16.hpp b/include/boost/math/tools/detail/rational_horner3_16.hpp index 5bbf67d90..3a384dcc5 100644 --- a/include/boost/math/tools/detail/rational_horner3_16.hpp +++ b/include/boost/math/tools/detail/rational_horner3_16.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -572,7 +572,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -674,7 +674,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -784,7 +784,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -902,7 +902,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_17.hpp b/include/boost/math/tools/detail/rational_horner3_17.hpp index 1f1e2d736..1c9435e74 100644 --- a/include/boost/math/tools/detail/rational_horner3_17.hpp +++ b/include/boost/math/tools/detail/rational_horner3_17.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -572,7 +572,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -674,7 +674,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -784,7 +784,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -902,7 +902,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1028,7 +1028,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_18.hpp b/include/boost/math/tools/detail/rational_horner3_18.hpp index 6ce9844bf..b133e2baf 100644 --- a/include/boost/math/tools/detail/rational_horner3_18.hpp +++ b/include/boost/math/tools/detail/rational_horner3_18.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -572,7 +572,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -674,7 +674,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -784,7 +784,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -902,7 +902,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1028,7 +1028,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1162,7 +1162,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_19.hpp b/include/boost/math/tools/detail/rational_horner3_19.hpp index b10844767..ca35d3b68 100644 --- a/include/boost/math/tools/detail/rational_horner3_19.hpp +++ b/include/boost/math/tools/detail/rational_horner3_19.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -572,7 +572,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -674,7 +674,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -784,7 +784,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -902,7 +902,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1028,7 +1028,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1162,7 +1162,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1304,7 +1304,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_20.hpp b/include/boost/math/tools/detail/rational_horner3_20.hpp index e125934a1..58109ac30 100644 --- a/include/boost/math/tools/detail/rational_horner3_20.hpp +++ b/include/boost/math/tools/detail/rational_horner3_20.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -314,7 +314,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -392,7 +392,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -478,7 +478,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -572,7 +572,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -674,7 +674,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -784,7 +784,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -902,7 +902,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1028,7 +1028,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1162,7 +1162,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1304,7 +1304,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -1454,7 +1454,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_5.hpp b/include/boost/math/tools/detail/rational_horner3_5.hpp index 0150b143f..cc77fd560 100644 --- a/include/boost/math/tools/detail/rational_horner3_5.hpp +++ b/include/boost/math/tools/detail/rational_horner3_5.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_6.hpp b/include/boost/math/tools/detail/rational_horner3_6.hpp index c4a2c14f5..73920ad01 100644 --- a/include/boost/math/tools/detail/rational_horner3_6.hpp +++ b/include/boost/math/tools/detail/rational_horner3_6.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_7.hpp b/include/boost/math/tools/detail/rational_horner3_7.hpp index 43555ab1d..8e30ecf31 100644 --- a/include/boost/math/tools/detail/rational_horner3_7.hpp +++ b/include/boost/math/tools/detail/rational_horner3_7.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_8.hpp b/include/boost/math/tools/detail/rational_horner3_8.hpp index 1c14fb461..a8f93f3a3 100644 --- a/include/boost/math/tools/detail/rational_horner3_8.hpp +++ b/include/boost/math/tools/detail/rational_horner3_8.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; diff --git a/include/boost/math/tools/detail/rational_horner3_9.hpp b/include/boost/math/tools/detail/rational_horner3_9.hpp index 057035237..064d984d3 100644 --- a/include/boost/math/tools/detail/rational_horner3_9.hpp +++ b/include/boost/math/tools/detail/rational_horner3_9.hpp @@ -44,7 +44,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -82,7 +82,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -128,7 +128,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -182,7 +182,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; @@ -244,7 +244,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: template inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant*) BOOST_MATH_NOEXCEPT(V) { - if(x <= 1) + if((-1 <= x) && (x <= 1)) { V x2 = x * x; V t[4]; From bcf0dbc7f82360665b4dde00e42b2a1843f4bda5 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Thu, 30 May 2024 08:50:26 +0200 Subject: [PATCH 42/58] Add test set from issue --- test/Jamfile.v2 | 1 + test/git_issue_1139.cpp | 25 +++++++++++++++++++++++++ 2 files changed, 26 insertions(+) create mode 100644 test/git_issue_1139.cpp diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index 9571cd4ea..bf566db5e 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -173,6 +173,7 @@ test-suite special_fun : [ run git_issue_1006.cpp ] [ run git_issue_184.cpp ] [ run git_issue_1137.cpp ] + [ run git_issue_1139.cpp ] [ run special_functions_test.cpp ../../test/build//boost_unit_test_framework ] [ run test_airy.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ] [ run test_bessel_j.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ] diff --git a/test/git_issue_1139.cpp b/test/git_issue_1139.cpp new file mode 100644 index 000000000..5bca58ec8 --- /dev/null +++ b/test/git_issue_1139.cpp @@ -0,0 +1,25 @@ +// Copyright Matt Borland 2024. +// 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) +// +// See: https://github.com/boostorg/math/issues/1139 + +#include "math_unit_test.hpp" +#include + +int main() +{ + const double a[] = {1.0, 1.0, 1.0, 1.0, 1.0}; + const double b[] = {1.0, 1.0, 1.0, 1.0, 1.0}; + + double x1 = 1e80; + double y1 = boost::math::tools::evaluate_rational(a, b, x1); + + double x2 = -1e80; + double y2 = boost::math::tools::evaluate_rational(a, b, x2); + + CHECK_ULP_CLOSE(y1, y2, 1); + + return boost::math::test::report_errors(); +} From f28c7764f12143732a7a52241d07141d2e4916df Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Thu, 30 May 2024 12:29:35 +0100 Subject: [PATCH 43/58] Add non central t PDF integral tests. Fix exp_sinh issues so that it does actually find the integral. --- .../quadrature/detail/exp_sinh_detail.hpp | 20 ++++++++- test/exp_sinh_quadrature_test.cpp | 38 +++++++++++++++++ test/tanh_sinh_quadrature_test.cpp | 42 ++++++++++++++++++- 3 files changed, 97 insertions(+), 3 deletions(-) diff --git a/include/boost/math/quadrature/detail/exp_sinh_detail.hpp b/include/boost/math/quadrature/detail/exp_sinh_detail.hpp index e829fa328..d0438a823 100644 --- a/include/boost/math/quadrature/detail/exp_sinh_detail.hpp +++ b/include/boost/math/quadrature/detail/exp_sinh_detail.hpp @@ -198,13 +198,29 @@ auto exp_sinh_detail::integrate(const F& f, Real* error, Real* L1, if (!have_first_j && (I1_last == I1)) { // No change to the sum, disregard these values on the LHS: - min_abscissa = m_abscissas[1][i]; - first_j = i; + if ((i < m_abscissas[1].size() - 1) && (m_abscissas[1][i + 1] > max_abscissa)) + { + // The summit is so high, that we found nothing in this row which added to the integral!! + have_first_j = true; + } + else + { + min_abscissa = m_abscissas[1][i]; + first_j = i; + } } else have_first_j = true; } + if (I0 == static_cast(0)) + { + // We failed to find anything, is the integral zero, or have we just not found it yet? + // We'll try one more level, if that still finds nothing then it'll terminate. + min_abscissa = 0; + max_abscissa = boost::math::tools::max_value(); + } + I1 *= half(); L1_I1 *= half(); Real err = abs(I0 - I1); diff --git a/test/exp_sinh_quadrature_test.cpp b/test/exp_sinh_quadrature_test.cpp index d39ec4c5d..7c958d5d8 100644 --- a/test/exp_sinh_quadrature_test.cpp +++ b/test/exp_sinh_quadrature_test.cpp @@ -573,6 +573,37 @@ void test_complex_exponential_integral_E1(){ } } +template +void test_non_central_t() +{ + // + // Bug case from the non-central t distribution: + // + using std::pow; + using std::exp; + using std::sqrt; + + std::cout << "Testing non-central T PDF integral" << std::endl; + + T x = -1.882352352142334; + T v = 77.384613037109375; + T mu = 8.1538467407226562; + T expected = static_cast(4.5098555913703146875364186893655197e+49L); + + boost::math::quadrature::exp_sinh integrator; + T err; + T L1; + std::size_t levels; + T integral = integrator.integrate([&x, v, mu](T y) + { + return pow(y, v) * exp(boost::math::pow<2>((y - mu * x / sqrt(x * x + v))) / -2); + }, + boost::math::tools::root_epsilon(), &err, &L1, &levels); + + T tol = 100 * boost::math::tools::epsilon(); + BOOST_CHECK_CLOSE_FRACTION(integral, expected, tol); +} + BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test) { @@ -596,11 +627,13 @@ BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test) test_right_limit_infinite(); test_nr_examples(); test_crc(); + //test_non_central_t(); #else test_left_limit_infinite(); test_right_limit_infinite(); test_nr_examples(); test_crc(); + //test_non_central_t(); #endif #endif @@ -611,11 +644,13 @@ BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test) test_right_limit_infinite(); test_nr_examples(); test_crc(); + test_non_central_t(); #else test_left_limit_infinite(); test_right_limit_infinite(); test_nr_examples(); test_crc(); + test_non_central_t(); #endif #endif @@ -626,6 +661,7 @@ BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test) test_right_limit_infinite(); test_nr_examples(); test_crc(); + test_non_central_t(); #endif #endif #endif @@ -634,6 +670,7 @@ BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test) test_right_limit_infinite(); test_nr_examples(); test_crc(); + test_non_central_t(); #endif #if !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) && !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS) @@ -642,6 +679,7 @@ BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test) test_right_limit_infinite(); test_nr_examples(); test_crc(); + test_non_central_t(); #endif #endif #if defined(TEST6) && defined(BOOST_MATH_RUN_MP_TESTS) diff --git a/test/tanh_sinh_quadrature_test.cpp b/test/tanh_sinh_quadrature_test.cpp index ceccb29eb..534abfdfa 100644 --- a/test/tanh_sinh_quadrature_test.cpp +++ b/test/tanh_sinh_quadrature_test.cpp @@ -883,6 +883,41 @@ void test_complex() } } +template +void test_non_central_t() +{ + // + // Bug case from the non-central t distribution: + // + using std::pow; + using std::exp; + using std::sqrt; + + std::cout << "Testing non-central T PDF integral" << std::endl; + + T x = -1.882352352142334; + T v = 77.384613037109375; + T mu = 8.1538467407226562; + T expected = static_cast(4.5098555913703146875364186893655197e+49L); + + T left = 0; + T right = std::numeric_limits::has_infinity ? std::numeric_limits::infinity() : boost::math::tools::max_value(); + + boost::math::quadrature::tanh_sinh integrator; + T err; + T L1; + std::size_t levels; + T integral = integrator.integrate([&x, v, mu](T y) + { + return pow(y, v) * exp(boost::math::pow<2>((y - mu * x / sqrt(x * x + v))) / -2); + }, + left, right, + boost::math::tools::root_epsilon(), &err, &L1, &levels); + + T tol = 100 * boost::math::tools::epsilon(); + BOOST_CHECK_CLOSE_FRACTION(integral, expected, tol); +} + BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test) { @@ -944,6 +979,7 @@ BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test) test_early_termination(); test_sf(); test_2_arg(); + test_non_central_t(); #endif #ifdef TEST2A #ifndef BOOST_MATH_STANDALONE @@ -967,6 +1003,7 @@ BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test) test_early_termination(); test_sf(); test_2_arg(); + test_non_central_t(); #endif #ifdef TEST3A #ifndef BOOST_MATH_STANDALONE @@ -991,7 +1028,8 @@ BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test) test_crc(); test_sf(); test_2_arg(); - #endif + test_non_central_t(); +#endif #endif #ifdef TEST5 #ifdef BOOST_MATH_RUN_MP_TESTS @@ -1017,6 +1055,7 @@ BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test) test_early_termination(); test_sf(); test_2_arg(); + test_non_central_t(); #endif #ifdef TEST6A test_crc(); @@ -1044,6 +1083,7 @@ BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test) test_crc(); test_sf(); test_2_arg(); + test_non_central_t(); #endif #ifdef TEST9 From 9e6f2b1b401c28a7eed0be4aa816027646a14a4b Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 31 May 2024 11:54:52 +0100 Subject: [PATCH 44/58] Update Non central T PDF: Lot's more tests, especially in the tails. Added Hypergeometric and Integration methods as fallbacks. --- .../math/distributions/non_central_beta.hpp | 17 ++- .../math/distributions/non_central_t.hpp | 107 +++++++++++++++--- test/test_nc_t.cpp | 14 +++ test/test_nc_t.hpp | 30 +++++ tools/non_central_t_pdf_data.cpp | 92 +++++++++++++++ 5 files changed, 242 insertions(+), 18 deletions(-) create mode 100644 tools/non_central_t_pdf_data.cpp diff --git a/include/boost/math/distributions/non_central_beta.hpp b/include/boost/math/distributions/non_central_beta.hpp index 592ac1951..66b12e870 100644 --- a/include/boost/math/distributions/non_central_beta.hpp +++ b/include/boost/math/distributions/non_central_beta.hpp @@ -91,7 +91,7 @@ namespace boost { T term = beta * pois; sum += term; - if(((fabs(term/sum) < errtol) && (last_term >= term)) || (term == 0)) + if(((fabs(term/sum) < errtol) && (fabs(last_term) >= fabs(term))) || (term == 0)) { count = k - i; break; @@ -106,6 +106,7 @@ namespace boost last_term = term; } + last_term = 0; for(auto i = k + 1; ; ++i) { poisf *= l2 / i; @@ -114,10 +115,11 @@ namespace boost T term = poisf * betaf; sum += term; - if((fabs(term/sum) < errtol) || (term == 0)) + if(((fabs(term/sum) < errtol) && (fabs(last_term) >= fabs(term))) || (term == 0)) { break; } + last_term = term; if(static_cast(count + i - k) > max_iter) { return policies::raise_evaluation_error("cdf(non_central_beta_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE @@ -579,15 +581,19 @@ namespace boost // Stable backwards recursion first: // std::uintmax_t count = k; + T ratio = 0; + T old_ratio = 0; for(auto i = k; i >= 0; --i) { T term = beta * pois; sum += term; - if((fabs(term/sum) < errtol) || (term == 0)) + ratio = fabs(term / sum); + if(((ratio < errtol) && (ratio < old_ratio)) || (term == 0)) { count = k - i; break; } + ratio = old_ratio; pois *= i / l2; if (a + b + i != 1) @@ -595,6 +601,7 @@ namespace boost beta *= (a + i - 1) / (x * (a + i + b - 1)); } } + old_ratio = 0; for(auto i = k + 1; ; ++i) { poisf *= l2 / i; @@ -602,10 +609,12 @@ namespace boost T term = poisf * betaf; sum += term; - if((fabs(term/sum) < errtol) || (term == 0)) + ratio = fabs(term / sum); + if(((ratio < errtol) && (ratio < old_ratio)) || (term == 0)) { break; } + old_ratio = ratio; if(static_cast(count + i - k) > max_iter) { return policies::raise_evaluation_error("pdf(non_central_beta_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE diff --git a/include/boost/math/distributions/non_central_t.hpp b/include/boost/math/distributions/non_central_t.hpp index ca3e9d53f..d3d58cd20 100644 --- a/include/boost/math/distributions/non_central_t.hpp +++ b/include/boost/math/distributions/non_central_t.hpp @@ -16,6 +16,8 @@ #include #include // quantile #include +#include +#include namespace boost { @@ -390,6 +392,60 @@ namespace boost function); } + template + T non_central_t_pdf_integral(T x, T v, T mu, const Policy& pol) + { + BOOST_MATH_STD_USING + boost::math::quadrature::exp_sinh integrator; + T integral = pow(v, v / 2) * exp(-v * mu * mu / (2 * (x * x + v))); + if (integral != 0) + { + integral *= integrator.integrate([&x, v, mu](T y) + { + T p; + if (v * log(y) < tools::log_max_value()) + p = pow(y, v) * exp(boost::math::pow<2>((y - mu * x / sqrt(x * x + v))) / -2); + else + p = exp(log(y) * v + boost::math::pow<2>((y - mu * x / sqrt(x * x + v))) / -2); + return p; + }); + } + integral /= boost::math::constants::root_pi() * boost::math::tgamma(v / 2, pol) * pow(T(2), (v - 1) / 2) * pow(x * x + v, (v + 1) / 2); + return integral; + } + + template + T non_central_t_pdf_hypergeometric(T x, T v, T mu, const Policy& pol) + { + BOOST_MATH_STD_USING + long long scale = 0; + const char* function = "non central T PDF"; + // + // We only call this routine when we know that the series form of 1F1 is cheap to evaluate, + // so no need to call the whole 1F1 function, just the series will do: + // + T Av = hypergeometric_1F1_generic_series((v + 1) / 2, boost::math::constants::half(), mu * mu * x * x / (2 * (x * x + v)), pol, scale, function); + Av = ldexp(Av, static_cast(scale)); + scale = 0; + T Bv = hypergeometric_1F1_generic_series(v / 2 + T(1), T(3) / 2, mu * mu * x * x / (2 * (x * x + v)), pol, scale, function); + Bv = ldexp(Bv, static_cast(scale)); + Bv *= boost::math::tgamma_delta_ratio(v / 2 + T(1), -constants::half(), pol); + Bv *= boost::math::constants::root_two() * mu * x / sqrt(x * x + v); + + T tolerance = tools::root_epsilon() * Av * 4; + Av += Bv; + + if (Av < tolerance) + { + // More than half the digits have cancelled, fall back to the integral method: + return non_central_t_pdf_integral(x, v, mu, pol); + } + + Av *= exp(-mu * mu / 2) * pow(1 + x * x / v, -(v + 1) / 2) * boost::math::tgamma_delta_ratio(v / 2 + constants::half(), -constants::half(), pol); + Av /= sqrt(v) * boost::math::constants::root_pi(); + return Av; + } + template T non_central_t2_pdf(T n, T delta, T x, T y, const Policy& pol, T init_val) { @@ -462,15 +518,18 @@ namespace boost } } BOOST_MATH_INSTRUMENT_VARIABLE(sum); + old_ratio = 0; for(auto i = k + 1; ; ++i) { poisf *= d2 / (i + 0.5f); xtermf *= (x * (n / 2 + i)) / (i); T term = poisf * xtermf; sum += term; - if((fabs(term/sum) < errtol) || (term == 0)) + T ratio = fabs(term / sum); + if(((ratio < errtol) && (ratio < old_ratio)) || (term == 0)) break; ++count; + old_ratio = ratio; if(count > max_iter) { return policies::raise_evaluation_error("pdf(non_central_t_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE @@ -489,14 +548,7 @@ namespace boost normal_distribution norm(delta, 1); return pdf(norm, t); } - // - // Otherwise, for t < 0 we have to use the reflection formula: - if(t < 0) - { - t = -t; - delta = -delta; - } - if(t * t == 0) + if(t * t < tools::epsilon()) { // // Handle this as a special case, using the formula @@ -527,13 +579,30 @@ namespace boost return pdf(students_t_distribution(n), t - delta); } // + // Figure out if the hypergeometric formula will be efficient or not, + // based on where the summit of the series. + // + T a = (n + 1) / 2; + T x = delta * delta * t * t / (2 * (t * t + n)); + T summit = (sqrt(x * (4 * a + x)) + x) / 2; + if (summit < 40) + return non_central_t_pdf_hypergeometric(t, n, delta, pol); + // + // Otherwise, for t < 0 we have to use the reflection formula: + // + if (t < 0) + { + t = -t; + delta = -delta; + } + // // x and y are the corresponding random // variables for the noncentral beta distribution, // with y = 1 - x: // - T x = t * t / (n + t * t); + x = t * t / (n + t * t); T y = n / (n + t * t); - T a = 0.5f; + a = 0.5f; T b = n / 2; T d2 = delta * delta; // @@ -543,12 +612,22 @@ namespace boost BOOST_MATH_INSTRUMENT_VARIABLE(dt); T result = non_central_beta_pdf(a, b, d2, x, y, pol); BOOST_MATH_INSTRUMENT_VARIABLE(result); - T tol = tools::epsilon() * result * 500; + T tol = tools::root_epsilon() * result; result = non_central_t2_pdf(n, delta, x, y, pol, result); BOOST_MATH_INSTRUMENT_VARIABLE(result); - if(result <= tol) - result = 0; result *= dt; + if (result <= tol) + { + // More than half the digits in the result have cancelled, + // Try direct integration... super slow but reliable as far as we can tell... + if (delta < 0) + { + // reflect back: + delta = -delta; + t = -t; + } + result = non_central_t_pdf_integral(t, n, delta, pol); + } return result; } diff --git a/test/test_nc_t.cpp b/test/test_nc_t.cpp index d9a8d4ed7..8a12635de 100644 --- a/test/test_nc_t.cpp +++ b/test/test_nc_t.cpp @@ -113,6 +113,20 @@ void expected_results() largest_type, // test type(s) "[^|]*", // test data group "[^|]*", 400, 100); // test function + add_expected_result( + "[^|]*", // compiler + "[^|]*", // stdlib + "[^|]*", // platform + "double", // test type(s) + "[^|]*PDF", // test data group + "[^|]*", static_cast(1 / boost::math::tools::root_epsilon()), static_cast(1 / boost::math::tools::root_epsilon())); // test function + add_expected_result( + "[^|]*", // compiler + "[^|]*", // stdlib + "[^|]*", // platform + "long double", // test type(s) + "[^|]*PDF", // test data group + "[^|]*", static_cast(1 / boost::math::tools::root_epsilon()), static_cast(1 / boost::math::tools::root_epsilon())); // test function add_expected_result( "[^|]*", // compiler "[^|]*", // stdlib diff --git a/test/test_nc_t.hpp b/test/test_nc_t.hpp index b4fd17fb7..65af7e647 100644 --- a/test/test_nc_t.hpp +++ b/test/test_nc_t.hpp @@ -353,6 +353,12 @@ T nct_cdf(T df, T nc, T x) return cdf(boost::math::non_central_t_distribution(df, nc), x); } +template +T nct_pdf(T df, T nc, T x) +{ + return pdf(boost::math::non_central_t_distribution(df, nc), x); +} + template T nct_ccdf(T df, T nc, T x) { @@ -399,6 +405,27 @@ void do_test_nc_t(T& data, const char* type_name, const char* test) #endif } +template +void do_test_nc_t_pdf(T& data, const char* type_name, const char* test) +{ + typedef Real value_type; + + std::cout << "Testing: " << test << std::endl; + + value_type(*fp1)(value_type, value_type, value_type) = nct_pdf; + + boost::math::tools::test_result result; + + result = boost::math::tools::test_hetero( + data, + bind_func(fp1, 0, 1, 2), + extract_result(3)); + handle_test_result(result, data[result.worst()], result.worst(), + type_name, "non central t PDF", test); + + std::cout << std::endl; +} + template void quantile_sanity_check(T& data, const char* type_name, const char* test) { @@ -522,6 +549,9 @@ void test_accuracy(T, const char* type_name) #include "nct_asym.ipp" do_test_nc_t(nct_asym, type_name, "Non Central T (large parameters)"); quantile_sanity_check(nct_asym, type_name, "Non Central T (large parameters)"); + +#include "nc_t_pdf_data.ipp" + do_test_nc_t_pdf(nc_t_pdf_data, type_name, "Non Central T PDF"); } } diff --git a/tools/non_central_t_pdf_data.cpp b/tools/non_central_t_pdf_data.cpp new file mode 100644 index 000000000..7d50f0080 --- /dev/null +++ b/tools/non_central_t_pdf_data.cpp @@ -0,0 +1,92 @@ +// (C) Copyright John Maddock 2024. +// 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) + +#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000 +#define BOOST_MATH_USE_MPFR + +#include "mp_t.hpp" +#include +#include +#include +#include +#include +#include +#include + +using namespace boost::math::tools; +using namespace boost::math; +using namespace std; + +struct nc_t_pdf_gen +{ + mp_t operator()(mp_t v, mp_t mu, mp_t x) + { + // + // Arbitrary smallest value we accept, below this, we will likely underflow to zero + // when computing at double precision: + // + static const mp_t minimum = 1e-270; + + mp_t Av = boost::math::hypergeometric_1F1((v + 1) / 2, boost::math::constants::half(), mu * mu * x * x / (2 * (x * x + v))); + mp_t Bv = boost::math::hypergeometric_1F1(v / 2 + mp_t(1), mp_t(3) / 2, mu * mu * x * x / (2 * (x * x + v))); + Bv *= boost::math::tgamma_ratio(v / 2 + mp_t(1), (v + mp_t(1)) / 2); + Bv *= boost::math::constants::root_two() * mu * x / sqrt(x * x + v); + + Av += Bv; + Av *= exp(-mu * mu / 2) * pow(1 + x * x / v, -(v + 1) / 2) * boost::math::tgamma_ratio((v + mp_t(1)) / 2, v / 2); + Av /= sqrt(v) * boost::math::constants::root_pi(); + + if (Av < minimum) + throw std::domain_error("Result too small!"); + + return Av; + } +}; + + +int main(int, char* []) +{ + parameter_info arg1, arg2, arg3; + test_data data; + + std::cout << "Welcome.\n" + "This program will generate spot tests for the non central t PDF:\n"; + + std::string line; + bool cont; + + random_ns::mt19937 rnd; + random_ns::uniform_real_distribution ur_a(0, 20); + + + do + { + if (0 == get_user_parameter_info(arg1, "v")) + return 1; + if (0 == get_user_parameter_info(arg2, "nc")) + return 1; + + arg3 = make_periodic_param(mp_t(-20), mp_t(200), 170); + + data.insert(nc_t_pdf_gen(), arg1, arg2, arg3); + std::cout << "Any more data [y/n]?"; + std::getline(std::cin, line); + boost::algorithm::trim(line); + cont = (line == "y"); + } while (cont); + + std::cout << "Enter name of test data file [default=nc_t_pdf_data.ipp]"; + std::getline(std::cin, line); + boost::algorithm::trim(line); + if (line == "") + line = "nc_t_pdf_data.ipp"; + std::ofstream ofs(line.c_str()); + ofs << std::scientific << std::setprecision(40); + write_code(ofs, data, line.c_str()); + + return 0; +} + + From 70b6ab76e38316d2e0c6c79276a3a3c9dca5191b Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 31 May 2024 11:55:38 +0100 Subject: [PATCH 45/58] Jacobi Zeta: remove unused variable. --- include/boost/math/special_functions/jacobi_zeta.hpp | 1 - 1 file changed, 1 deletion(-) diff --git a/include/boost/math/special_functions/jacobi_zeta.hpp b/include/boost/math/special_functions/jacobi_zeta.hpp index 1bdf7f0f6..c4ba7d23d 100644 --- a/include/boost/math/special_functions/jacobi_zeta.hpp +++ b/include/boost/math/special_functions/jacobi_zeta.hpp @@ -43,7 +43,6 @@ T jacobi_zeta_imp(T phi, T k, const Policy& pol, T kp) T result; T sinp = sin(phi); T cosp = cos(phi); - T s2 = sinp * sinp; T c2 = cosp * cosp; T one_minus_ks2 = kp + c2 - kp * c2; T k2 = k * k; From 18f49f94f5b76aab052fb79729347dd08e3fb664 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 31 May 2024 16:58:41 +0100 Subject: [PATCH 46/58] Allow exp_sinh to be used on non-exception environments. --- include/boost/math/quadrature/exp_sinh.hpp | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/include/boost/math/quadrature/exp_sinh.hpp b/include/boost/math/quadrature/exp_sinh.hpp index 14970bfdb..f28493737 100644 --- a/include/boost/math/quadrature/exp_sinh.hpp +++ b/include/boost/math/quadrature/exp_sinh.hpp @@ -91,8 +91,7 @@ auto exp_sinh::integrate(const F& f, Real tolerance, Real* error, static const char* function = "boost::math::quadrature::exp_sinh<%1%>::integrate"; using std::abs; if (abs(tolerance) > 1) { - std::string msg = std::string(__FILE__) + ":" + std::to_string(__LINE__) + ":" + std::string(function) + ": The tolerance provided is unusually large; did you confuse it with a domain bound?"; - throw std::domain_error(msg); + return policies::raise_domain_error(function, "The tolerance provided (%1%) is unusually large; did you confuse it with a domain bound?", tolerance, Policy()); } return m_imp->integrate(f, error, L1, function, tolerance, levels); } From 5ec5c6759aba30950f8e62ac606be0b4c407107a Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 31 May 2024 16:59:16 +0100 Subject: [PATCH 47/58] Add missing test file. --- test/nc_t_pdf_data.ipp | 12121 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 12121 insertions(+) create mode 100644 test/nc_t_pdf_data.ipp diff --git a/test/nc_t_pdf_data.ipp b/test/nc_t_pdf_data.ipp new file mode 100644 index 000000000..ce4626113 --- /dev/null +++ b/test/nc_t_pdf_data.ipp @@ -0,0 +1,12121 @@ +#ifndef SC_ +# define SC_(x) static_cast(BOOST_JOIN(x, L)) +#endif + static const std::array, 12112> nc_t_pdf_data = {{ + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-2.0000000000000000000000000000000000000000e+01), SC_(1.4381813277523004272343589190146201842804e-06) }, + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-1.8705886840820312500000000000000000000000e+01), SC_(1.7570993138850640675881332555246167625001e-06) }, + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-1.7411766052246093750000000000000000000000e+01), SC_(2.1776624749602608724215749701932540495194e-06) }, + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-1.6117652893066406250000000000000000000000e+01), SC_(2.7437748471563251651810419842608555823112e-06) }, + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-1.4823532104492187500000000000000000000000e+01), SC_(3.5242068285498268064856885581705033301522e-06) }, + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-1.3529411315917968750000000000000000000000e+01), SC_(4.6306441321775042248572523975297685709043e-06) }, + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-1.2235294342041015625000000000000000000000e+01), SC_(6.2524582986546127466128626136898551304061e-06) }, + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-1.0941177368164062500000000000000000000000e+01), SC_(8.7277004154694400993170850522354837910928e-06) }, + { SC_(2.0000000000000000000000000000000000000000e+00), SC_(2.0000000000000000000000000000000000000000e+00), SC_(-9.6470603942871093750000000000000000000000e+00), SC_(1.2698822611984500166119118630224410637015e-05) }, + { SC_(2.0000000000000000000000000000000000000000e+00), 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SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.4176470947265625000000000000000000000000e+02), SC_(2.4291926717233984595106711332941001721544e-08) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.4305877685546875000000000000000000000000e+02), SC_(1.4771331516140817612919688839252588498638e-08) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.4435290527343750000000000000000000000000e+02), SC_(8.9712670243572616708034473195209518625594e-09) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.4564703369140625000000000000000000000000e+02), SC_(5.4431205534171034840482817439796221553524e-09) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.4694116210937500000000000000000000000000e+02), SC_(3.2996767337631784999227033115768476002541e-09) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.4823529052734375000000000000000000000000e+02), SC_(1.9988924519196823529950048204097563716871e-09) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.4952941894531250000000000000000000000000e+02), SC_(1.2102181979008415689487011017973909715734e-09) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.5082348632812500000000000000000000000000e+02), SC_(7.3242402103192637724390291846817858773055e-10) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.5211761474609375000000000000000000000000e+02), SC_(4.4311903617923779864136043990886851492628e-10) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.5341174316406250000000000000000000000000e+02), SC_(2.6803974757429634227314298189720203735923e-10) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.5470587158203125000000000000000000000000e+02), SC_(1.6212417671807898140889763925857073143546e-10) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.5600000000000000000000000000000000000000e+02), SC_(9.8064590693843615989543605948916508431633e-11) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.5729412841796875000000000000000000000000e+02), SC_(5.9324756001009623484624726309363247632456e-11) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.5858819580078125000000000000000000000000e+02), SC_(3.5898002020560184818595969242215746324678e-11) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.5988232421875000000000000000000000000000e+02), SC_(2.1728674989612222188829570219292306515885e-11) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.6117645263671875000000000000000000000000e+02), SC_(1.3157446195335532182526686689604463675563e-11) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.6247058105468750000000000000000000000000e+02), SC_(7.9711268651420708818127011238603095563941e-12) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.6376470947265625000000000000000000000000e+02), SC_(4.8318116421991316328885980175901262254155e-12) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.6505877685546875000000000000000000000000e+02), SC_(2.9307798217367971509143973279006977765765e-12) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.6635290527343750000000000000000000000000e+02), SC_(1.7788838685581508806849986845728113120819e-12) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.6764703369140625000000000000000000000000e+02), SC_(1.0805392660473555167167685944877529413001e-12) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.6894116210937500000000000000000000000000e+02), SC_(6.5688233001840800965692882892564775783978e-13) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.7023529052734375000000000000000000000000e+02), SC_(3.9968025611494337301660592855147963960145e-13) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.7152941894531250000000000000000000000000e+02), SC_(2.4341004763088025903593674462688585730727e-13) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.7282348632812500000000000000000000000000e+02), SC_(1.4838718106789964650285160766740948294170e-13) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.7411761474609375000000000000000000000000e+02), SC_(9.0549499400150439520970960357347653495766e-14) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.7541174316406250000000000000000000000000e+02), SC_(5.5314174544117514596751372988680027657517e-14) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.7670587158203125000000000000000000000000e+02), SC_(3.3827131096932843458260135152431231385248e-14) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.7800000000000000000000000000000000000000e+02), SC_(2.0710414809112452326805622686016389974919e-14) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.7929412841796875000000000000000000000000e+02), SC_(1.2694711987255190137539254528086373197784e-14) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.8058819580078125000000000000000000000000e+02), SC_(7.7909760162316637681773623129245784566004e-15) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.8188232421875000000000000000000000000000e+02), SC_(4.7872870129783953121119602921557868570950e-15) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.8317645263671875000000000000000000000000e+02), SC_(2.9453601502745647300958274986092401013423e-15) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.8447058105468750000000000000000000000000e+02), SC_(1.8144733978107203604881459002270045172080e-15) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.8576470947265625000000000000000000000000e+02), SC_(1.1192759873753187997635200674242323510561e-15) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.8705883789062500000000000000000000000000e+02), SC_(6.9136680890239356450295002788403772818145e-16) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.8835290527343750000000000000000000000000e+02), SC_(4.2764570424287083657113563344728118028216e-16) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.8964703369140625000000000000000000000000e+02), SC_(2.6488249529511590876715779383566908540448e-16) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.9094116210937500000000000000000000000000e+02), SC_(1.6429871390040407686383662243973678780041e-16) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.9223529052734375000000000000000000000000e+02), SC_(1.0205506613529281545453710313734561196657e-16) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.9352941894531250000000000000000000000000e+02), SC_(6.3483612951656433465759601453127921733732e-17) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.9482348632812500000000000000000000000000e+02), SC_(3.9548649390453189371949399360399900113814e-17) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.9611761474609375000000000000000000000000e+02), SC_(2.4673532864744022371074780269124638469264e-17) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.9741174316406250000000000000000000000000e+02), SC_(1.5416152118734838320357169475425327590953e-17) }, + { SC_(8.9111114501953125000000000000000000000000e+01), SC_(8.9111114501953125000000000000000000000000e+01), SC_(1.9870587158203125000000000000000000000000e+02), SC_(9.6465214102301022955827217656166174060445e-18) } + }}; +//#undef SC_ + From eb42cba0c4579dfc3b0649a1a0e883f521c0a88e Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 31 May 2024 18:03:27 +0100 Subject: [PATCH 48/58] Lots of warning suppressions. --- include/boost/math/concepts/distributions.hpp | 2 +- .../detail/hypergeometric_pdf.hpp | 28 ++++++++-------- .../detail/hypergeometric_quantile.hpp | 32 +++++++++---------- 3 files changed, 31 insertions(+), 31 deletions(-) diff --git a/include/boost/math/concepts/distributions.hpp b/include/boost/math/concepts/distributions.hpp index 538bbe702..7f9af2dd5 100644 --- a/include/boost/math/concepts/distributions.hpp +++ b/include/boost/math/concepts/distributions.hpp @@ -343,7 +343,7 @@ struct DistributionConcept template static void test_extra_members(const boost::math::hypergeometric_distribution& d) { - unsigned u = d.defective(); + std::uint64_t u = d.defective(); u = d.sample_count(); u = d.total(); suppress_unused_variable_warning(u); diff --git a/include/boost/math/distributions/detail/hypergeometric_pdf.hpp b/include/boost/math/distributions/detail/hypergeometric_pdf.hpp index 9eeef270d..0ec3065eb 100644 --- a/include/boost/math/distributions/detail/hypergeometric_pdf.hpp +++ b/include/boost/math/distributions/detail/hypergeometric_pdf.hpp @@ -297,7 +297,7 @@ T hypergeometric_pdf_prime_loop_imp(hypergeometric_pdf_prime_loop_data& data, hy while(data.current_prime <= data.N) { std::uint64_t base = data.current_prime; - std::int64_t prime_powers = 0; + std::uint64_t prime_powers = 0; while(base <= data.N) { prime_powers += data.n / base; @@ -313,7 +313,7 @@ T hypergeometric_pdf_prime_loop_imp(hypergeometric_pdf_prime_loop_data& data, hy } if(prime_powers) { - T p = integer_power(static_cast(data.current_prime), prime_powers); + T p = integer_power(static_cast(data.current_prime), static_cast(prime_powers)); if((p > 1) && (tools::max_value() / p < result.value)) { // @@ -321,7 +321,7 @@ T hypergeometric_pdf_prime_loop_imp(hypergeometric_pdf_prime_loop_data& data, hy // to sidestep the issue: // hypergeometric_pdf_prime_loop_result_entry t = { p, &result }; - data.current_prime = prime(++data.prime_index); + data.current_prime = prime(static_cast(++data.prime_index)); return hypergeometric_pdf_prime_loop_imp(data, t); } if((p < 1) && (tools::min_value() / p > result.value)) @@ -331,12 +331,12 @@ T hypergeometric_pdf_prime_loop_imp(hypergeometric_pdf_prime_loop_data& data, hy // to sidestep the issue: // hypergeometric_pdf_prime_loop_result_entry t = { p, &result }; - data.current_prime = prime(++data.prime_index); + data.current_prime = prime(static_cast(++data.prime_index)); return hypergeometric_pdf_prime_loop_imp(data, t); } result.value *= p; } - data.current_prime = prime(++data.prime_index); + data.current_prime = prime(static_cast(++data.prime_index)); } // // When we get to here we have run out of prime factors, @@ -395,18 +395,18 @@ T hypergeometric_pdf_factorial_imp(std::uint64_t x, std::uint64_t r, std::uint64 { BOOST_MATH_STD_USING BOOST_MATH_ASSERT(N <= boost::math::max_factorial::value); - T result = boost::math::unchecked_factorial(n); + T result = boost::math::unchecked_factorial(static_cast(n)); T num[3] = { - boost::math::unchecked_factorial(r), - boost::math::unchecked_factorial(N - n), - boost::math::unchecked_factorial(N - r) + boost::math::unchecked_factorial(static_cast(r)), + boost::math::unchecked_factorial(static_cast(N - n)), + boost::math::unchecked_factorial(static_cast(N - r)) }; T denom[5] = { - boost::math::unchecked_factorial(N), - boost::math::unchecked_factorial(x), - boost::math::unchecked_factorial(n - x), - boost::math::unchecked_factorial(r - x), - boost::math::unchecked_factorial(N - n - r + x) + boost::math::unchecked_factorial(static_cast(N)), + boost::math::unchecked_factorial(static_cast(x)), + boost::math::unchecked_factorial(static_cast(n - x)), + boost::math::unchecked_factorial(static_cast(r - x)), + boost::math::unchecked_factorial(static_cast(N - n - r + x)) }; std::size_t i = 0; std::size_t j = 0; diff --git a/include/boost/math/distributions/detail/hypergeometric_quantile.hpp b/include/boost/math/distributions/detail/hypergeometric_quantile.hpp index 7ab85fb14..2441a7330 100644 --- a/include/boost/math/distributions/detail/hypergeometric_quantile.hpp +++ b/include/boost/math/distributions/detail/hypergeometric_quantile.hpp @@ -14,7 +14,7 @@ namespace boost{ namespace math{ namespace detail{ template -inline unsigned round_x_from_p(unsigned x, T p, T cum, T fudge_factor, unsigned lbound, unsigned /*ubound*/, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_p(std::uint64_t x, T p, T cum, T fudge_factor, std::uint64_t lbound, std::uint64_t /*ubound*/, const policies::discrete_quantile&) { if((p < cum * fudge_factor) && (x != lbound)) { @@ -25,7 +25,7 @@ inline unsigned round_x_from_p(unsigned x, T p, T cum, T fudge_factor, unsigned } template -inline unsigned round_x_from_p(unsigned x, T p, T cum, T fudge_factor, unsigned /*lbound*/, unsigned ubound, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_p(std::uint64_t x, T p, T cum, T fudge_factor, std::uint64_t /*lbound*/, std::uint64_t ubound, const policies::discrete_quantile&) { if((cum < p * fudge_factor) && (x != ubound)) { @@ -36,7 +36,7 @@ inline unsigned round_x_from_p(unsigned x, T p, T cum, T fudge_factor, unsigned } template -inline unsigned round_x_from_p(unsigned x, T p, T cum, T fudge_factor, unsigned lbound, unsigned ubound, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_p(std::uint64_t x, T p, T cum, T fudge_factor, std::uint64_t lbound, std::uint64_t ubound, const policies::discrete_quantile&) { if(p >= 0.5) return round_x_from_p(x, p, cum, fudge_factor, lbound, ubound, policies::discrete_quantile()); @@ -44,7 +44,7 @@ inline unsigned round_x_from_p(unsigned x, T p, T cum, T fudge_factor, unsigned } template -inline unsigned round_x_from_p(unsigned x, T p, T cum, T fudge_factor, unsigned lbound, unsigned ubound, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_p(std::uint64_t x, T p, T cum, T fudge_factor, std::uint64_t lbound, std::uint64_t ubound, const policies::discrete_quantile&) { if(p >= 0.5) return round_x_from_p(x, p, cum, fudge_factor, lbound, ubound, policies::discrete_quantile()); @@ -52,13 +52,13 @@ inline unsigned round_x_from_p(unsigned x, T p, T cum, T fudge_factor, unsigned } template -inline unsigned round_x_from_p(unsigned x, T /*p*/, T /*cum*/, T /*fudge_factor*/, unsigned /*lbound*/, unsigned /*ubound*/, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_p(std::uint64_t x, T /*p*/, T /*cum*/, T /*fudge_factor*/, std::uint64_t /*lbound*/, std::uint64_t /*ubound*/, const policies::discrete_quantile&) { return x; } template -inline unsigned round_x_from_q(unsigned x, T q, T cum, T fudge_factor, unsigned lbound, unsigned /*ubound*/, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_q(std::uint64_t x, T q, T cum, T fudge_factor, std::uint64_t lbound, std::uint64_t /*ubound*/, const policies::discrete_quantile&) { if((q * fudge_factor > cum) && (x != lbound)) { @@ -69,7 +69,7 @@ inline unsigned round_x_from_q(unsigned x, T q, T cum, T fudge_factor, unsigned } template -inline unsigned round_x_from_q(unsigned x, T q, T cum, T fudge_factor, unsigned /*lbound*/, unsigned ubound, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_q(std::uint64_t x, T q, T cum, T fudge_factor, std::uint64_t /*lbound*/, std::uint64_t ubound, const policies::discrete_quantile&) { if((q < cum * fudge_factor) && (x != ubound)) { @@ -80,7 +80,7 @@ inline unsigned round_x_from_q(unsigned x, T q, T cum, T fudge_factor, unsigned } template -inline unsigned round_x_from_q(unsigned x, T q, T cum, T fudge_factor, unsigned lbound, unsigned ubound, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_q(std::uint64_t x, T q, T cum, T fudge_factor, std::uint64_t lbound, std::uint64_t ubound, const policies::discrete_quantile&) { if(q < 0.5) return round_x_from_q(x, q, cum, fudge_factor, lbound, ubound, policies::discrete_quantile()); @@ -88,7 +88,7 @@ inline unsigned round_x_from_q(unsigned x, T q, T cum, T fudge_factor, unsigned } template -inline unsigned round_x_from_q(unsigned x, T q, T cum, T fudge_factor, unsigned lbound, unsigned ubound, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_q(std::uint64_t x, T q, T cum, T fudge_factor, std::uint64_t lbound, std::uint64_t ubound, const policies::discrete_quantile&) { if(q >= 0.5) return round_x_from_q(x, q, cum, fudge_factor, lbound, ubound, policies::discrete_quantile()); @@ -96,13 +96,13 @@ inline unsigned round_x_from_q(unsigned x, T q, T cum, T fudge_factor, unsigned } template -inline unsigned round_x_from_q(unsigned x, T /*q*/, T /*cum*/, T /*fudge_factor*/, unsigned /*lbound*/, unsigned /*ubound*/, const policies::discrete_quantile&) +inline std::uint64_t round_x_from_q(std::uint64_t x, T /*q*/, T /*cum*/, T /*fudge_factor*/, std::uint64_t /*lbound*/, std::uint64_t /*ubound*/, const policies::discrete_quantile&) { return x; } template -unsigned hypergeometric_quantile_imp(T p, T q, unsigned r, unsigned n, unsigned N, const Policy& pol) +std::uint64_t hypergeometric_quantile_imp(T p, T q, std::uint64_t r, std::uint64_t n, std::uint64_t N, const Policy& pol) { #ifdef _MSC_VER # pragma warning(push) @@ -113,8 +113,8 @@ unsigned hypergeometric_quantile_imp(T p, T q, unsigned r, unsigned n, unsigned BOOST_FPU_EXCEPTION_GUARD T result; T fudge_factor = 1 + tools::epsilon() * ((N <= boost::math::prime(boost::math::max_prime - 1)) ? 50 : 2 * N); - unsigned base = static_cast((std::max)(0, static_cast(n + r) - static_cast(N))); - unsigned lim = (std::min)(r, n); + std::uint64_t base = static_cast((std::max)(0, static_cast(n + r) - static_cast(N))); + std::uint64_t lim = (std::min)(r, n); BOOST_MATH_INSTRUMENT_VARIABLE(p); BOOST_MATH_INSTRUMENT_VARIABLE(q); @@ -127,7 +127,7 @@ unsigned hypergeometric_quantile_imp(T p, T q, unsigned r, unsigned n, unsigned if(p <= 0.5) { - unsigned x = base; + std::uint64_t x = base; result = hypergeometric_pdf(x, r, n, N, pol); T diff = result; if (diff == 0) @@ -175,7 +175,7 @@ unsigned hypergeometric_quantile_imp(T p, T q, unsigned r, unsigned n, unsigned } else { - unsigned x = lim; + std::uint64_t x = lim; result = 0; T diff = hypergeometric_pdf(x, r, n, N, pol); if (diff == 0) @@ -225,7 +225,7 @@ unsigned hypergeometric_quantile_imp(T p, T q, unsigned r, unsigned n, unsigned } template -inline unsigned hypergeometric_quantile(T p, T q, unsigned r, unsigned n, unsigned N, const Policy&) +inline std::uint64_t hypergeometric_quantile(T p, T q, std::uint64_t r, std::uint64_t n, std::uint64_t N, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args::type result_type; From 69443ab9a5e8c454c1c033c94b47f5ba06ac2e36 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 31 May 2024 18:04:04 +0100 Subject: [PATCH 49/58] Correct isfinite call. --- include/boost/math/quadrature/detail/exp_sinh_detail.hpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/boost/math/quadrature/detail/exp_sinh_detail.hpp b/include/boost/math/quadrature/detail/exp_sinh_detail.hpp index d0438a823..2df07b6ec 100644 --- a/include/boost/math/quadrature/detail/exp_sinh_detail.hpp +++ b/include/boost/math/quadrature/detail/exp_sinh_detail.hpp @@ -259,7 +259,7 @@ auto exp_sinh_detail::integrate(const F& f, Real* error, Real* L1, err = abs(I0 - I1); //std::cout << "Estimate: " << I1 << " Error estimate at level " << i << " = " << err << std::endl; // Use L1_I1 here to make it work with both complex and real valued integrands: - if (!isfinite(L1_I1)) + if (!(boost::math::isfinite)(L1_I1)) { return static_cast(policies::raise_evaluation_error(function, "The exp_sinh quadrature evaluated your function at a singular point and returned %1%. Please ensure your function evaluates to a finite number over its entire domain.", I1, Policy())); } From 7439011b06fffde0041cb0d85c5e35c09281a4b7 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 31 May 2024 18:04:31 +0100 Subject: [PATCH 50/58] Set quad precision error rates. --- test/test_nc_t_quad.cpp | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/test/test_nc_t_quad.cpp b/test/test_nc_t_quad.cpp index 044f9d290..0f0179c45 100644 --- a/test/test_nc_t_quad.cpp +++ b/test/test_nc_t_quad.cpp @@ -54,6 +54,13 @@ void expected_results() "cpp_bin_float_quad", // test type(s) ".*large parameters.*", // test data group "[^|]*", 300000, 100000); // test function + add_expected_result( + "[^|]*", // compiler + "[^|]*", // stdlib + "[^|]*", // platform + "cpp_bin_float_quad", // test type(s) + "[^|]*PDF", // test data group + "[^|]*", static_cast(1 / boost::math::tools::root_epsilon()), static_cast(1 / boost::math::tools::root_epsilon())); // test function add_expected_result( "[^|]*", // compiler "[^|]*", // stdlib From 2bea451ac8debb55de3b78a4ce30a960c2247947 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 31 May 2024 18:57:37 +0100 Subject: [PATCH 51/58] Correct conceptual failings, remove tests which can't possibly succeed. --- include/boost/math/distributions/non_central_t.hpp | 4 ++-- test/exp_sinh_quadrature_test.cpp | 1 - test/tanh_sinh_quadrature_test.cpp | 2 -- 3 files changed, 2 insertions(+), 5 deletions(-) diff --git a/include/boost/math/distributions/non_central_t.hpp b/include/boost/math/distributions/non_central_t.hpp index d3d58cd20..a6c988d75 100644 --- a/include/boost/math/distributions/non_central_t.hpp +++ b/include/boost/math/distributions/non_central_t.hpp @@ -424,10 +424,10 @@ namespace boost // We only call this routine when we know that the series form of 1F1 is cheap to evaluate, // so no need to call the whole 1F1 function, just the series will do: // - T Av = hypergeometric_1F1_generic_series((v + 1) / 2, boost::math::constants::half(), mu * mu * x * x / (2 * (x * x + v)), pol, scale, function); + T Av = hypergeometric_1F1_generic_series(static_cast((v + 1) / 2), boost::math::constants::half(), static_cast(mu * mu * x * x / (2 * (x * x + v))), pol, scale, function); Av = ldexp(Av, static_cast(scale)); scale = 0; - T Bv = hypergeometric_1F1_generic_series(v / 2 + T(1), T(3) / 2, mu * mu * x * x / (2 * (x * x + v)), pol, scale, function); + T Bv = hypergeometric_1F1_generic_series(static_cast(v / 2 + T(1)), static_cast(T(3) / 2), static_cast(mu * mu * x * x / (2 * (x * x + v))), pol, scale, function); Bv = ldexp(Bv, static_cast(scale)); Bv *= boost::math::tgamma_delta_ratio(v / 2 + T(1), -constants::half(), pol); Bv *= boost::math::constants::root_two() * mu * x / sqrt(x * x + v); diff --git a/test/exp_sinh_quadrature_test.cpp b/test/exp_sinh_quadrature_test.cpp index 7c958d5d8..7bba2298a 100644 --- a/test/exp_sinh_quadrature_test.cpp +++ b/test/exp_sinh_quadrature_test.cpp @@ -670,7 +670,6 @@ BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test) test_right_limit_infinite(); test_nr_examples(); test_crc(); - test_non_central_t(); #endif #if !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) && !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS) diff --git a/test/tanh_sinh_quadrature_test.cpp b/test/tanh_sinh_quadrature_test.cpp index 534abfdfa..ffd55352b 100644 --- a/test/tanh_sinh_quadrature_test.cpp +++ b/test/tanh_sinh_quadrature_test.cpp @@ -1028,7 +1028,6 @@ BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test) test_crc(); test_sf(); test_2_arg(); - test_non_central_t(); #endif #endif #ifdef TEST5 @@ -1083,7 +1082,6 @@ BOOST_AUTO_TEST_CASE(tanh_sinh_quadrature_test) test_crc(); test_sf(); test_2_arg(); - test_non_central_t(); #endif #ifdef TEST9 From 7d56997a99b5ddc06150ea2023650aabbbc13479 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sat, 1 Jun 2024 10:32:11 +0100 Subject: [PATCH 52/58] tentative CI failure fixes. --- test/Jamfile.v2 | 2 +- test/nc_t_pdf_data.ipp | 4 ++++ 2 files changed, 5 insertions(+), 1 deletion(-) diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index 9571cd4ea..a6e181ac2 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -888,7 +888,7 @@ test-suite new_floats : test-suite mp : - [ run test_nc_t_quad.cpp pch ../../test/build//boost_unit_test_framework : : : release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : -lquadmath ] ] + [ run test_nc_t_quad.cpp pch ../../test/build//boost_unit_test_framework : : : release gcc-mingw:-Wa,-mbig-obj off [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : -lquadmath ] ] [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : TEST1 : test_polynomial_1 ] [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : TEST2 : test_polynomial_2 ] [ run test_polynomial.cpp ../../test/build//boost_unit_test_framework : : : TEST3 : test_polynomial_3 ] diff --git a/test/nc_t_pdf_data.ipp b/test/nc_t_pdf_data.ipp index ce4626113..e427206ce 100644 --- a/test/nc_t_pdf_data.ipp +++ b/test/nc_t_pdf_data.ipp @@ -1,3 +1,7 @@ +// (C) Copyright John Maddock 2024. +// 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 SC_ # define SC_(x) static_cast(BOOST_JOIN(x, L)) #endif From 20f44d1275334d7b8b513fd9d8331cccf5248841 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sun, 2 Jun 2024 12:04:09 +0100 Subject: [PATCH 53/58] Work through more CI failures. --- include/boost/math/concepts/std_real_concept.hpp | 3 +++ test/exp_sinh_quadrature_test.cpp | 2 +- test/test_nc_t_quad.cpp | 10 ++++++++++ 3 files changed, 14 insertions(+), 1 deletion(-) diff --git a/include/boost/math/concepts/std_real_concept.hpp b/include/boost/math/concepts/std_real_concept.hpp index 277c35caf..f77935c7f 100644 --- a/include/boost/math/concepts/std_real_concept.hpp +++ b/include/boost/math/concepts/std_real_concept.hpp @@ -90,6 +90,9 @@ class std_real_concept std_real_concept& operator=(float c) { m_value = c; return *this; } std_real_concept& operator=(double c) { m_value = c; return *this; } std_real_concept& operator=(long double c) { m_value = c; return *this; } +#ifdef BOOST_MATH_USE_FLOAT128 + std_real_concept& operator=(BOOST_MATH_FLOAT128_TYPE c) { m_value = c; return *this; } +#endif // Access: std_real_concept_base_type value()const{ return m_value; } diff --git a/test/exp_sinh_quadrature_test.cpp b/test/exp_sinh_quadrature_test.cpp index 7bba2298a..deed18c92 100644 --- a/test/exp_sinh_quadrature_test.cpp +++ b/test/exp_sinh_quadrature_test.cpp @@ -644,7 +644,7 @@ BOOST_AUTO_TEST_CASE(exp_sinh_quadrature_test) test_right_limit_infinite(); test_nr_examples(); test_crc(); - test_non_central_t(); + test_non_central_t(); #else test_left_limit_infinite(); test_right_limit_infinite(); diff --git a/test/test_nc_t_quad.cpp b/test/test_nc_t_quad.cpp index 0f0179c45..5b7ac27d3 100644 --- a/test/test_nc_t_quad.cpp +++ b/test/test_nc_t_quad.cpp @@ -40,6 +40,14 @@ using std::endl; #include using std::numeric_limits; +#if defined(__GNUC__) && (__GNUC__ < 13) && (defined(__CYGWIN__) || defined(_WIN32)) +// +// We either get an internal compiler error, or worse, the compiler prints nothing at all +// and exits with an error code :( +// +# define DISABLE_THIS_TEST +#endif + void expected_results() { @@ -83,10 +91,12 @@ BOOST_AUTO_TEST_CASE( test_main ) BOOST_MATH_CONTROL_FP; // Basic sanity-check spot values. expected_results(); +#ifndef DISABLE_THIS_TEST #if !BOOST_WORKAROUND(BOOST_MSVC, < 1920) test_spots(boost::multiprecision::cpp_bin_float_quad(0)); #endif test_accuracy(boost::multiprecision::cpp_bin_float_quad(0), "cpp_bin_float_quad"); +#endif // double precision tests only: //test_big_df(boost::multiprecision::cpp_bin_float_quad(0)); } // BOOST_AUTO_TEST_CASE( test_main ) From dff806a50a30bd97797c0eb37100134947e330f1 Mon Sep 17 00:00:00 2001 From: Lukas Riebel <60060564+quxflux@users.noreply.github.com> Date: Fri, 14 Jun 2024 09:12:33 +0200 Subject: [PATCH 54/58] make boost::math::ccmath::fminf and boost::math::ccmath::fminl constexpr --- include/boost/math/ccmath/fmin.hpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/include/boost/math/ccmath/fmin.hpp b/include/boost/math/ccmath/fmin.hpp index 4d0dc229e..1c113e0d6 100644 --- a/include/boost/math/ccmath/fmin.hpp +++ b/include/boost/math/ccmath/fmin.hpp @@ -72,13 +72,13 @@ constexpr auto fmin(T1 x, T2 y) noexcept } } -float fminf(float x, float y) noexcept +constexpr float fminf(float x, float y) noexcept { return boost::math::ccmath::fmin(x, y); } #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS -long double fminl(long double x, long double y) noexcept +constexpr long double fminl(long double x, long double y) noexcept { return boost::math::ccmath::fmin(x, y); } From dfc29348653bbc976c9941a9fbc9f49d68cb954e Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Fri, 14 Jun 2024 18:34:24 +0100 Subject: [PATCH 55/58] Update Bessel functions at infinity. (#1144) * Update Bessel functions at infinity. Also sinc functions, and update tests. Fixes https://github.com/boostorg/math/issues/1143. * Correct some test failures. * Yikes, correct missing if. * Temporary fix for multiprecision. REMOVE THIS. --- .../boost/math/special_functions/bessel.hpp | 2 +- .../special_functions/detail/bessel_ik.hpp | 141 ++++++++++-------- .../detail/bessel_jy_asym.hpp | 4 + include/boost/math/special_functions/sinc.hpp | 7 +- .../boost/math/special_functions/sinhc.hpp | 32 +++- test/test_bessel_j.cpp | 4 +- test/test_bessel_j.hpp | 16 ++ test/test_bessel_k.hpp | 5 + test/test_bessel_y.hpp | 8 + test/test_sinc.cpp | 27 ++++ 10 files changed, 170 insertions(+), 76 deletions(-) diff --git a/include/boost/math/special_functions/bessel.hpp b/include/boost/math/special_functions/bessel.hpp index 82bed6e49..e9677d3c7 100644 --- a/include/boost/math/special_functions/bessel.hpp +++ b/include/boost/math/special_functions/bessel.hpp @@ -151,7 +151,7 @@ inline T sph_bessel_j_imp(unsigned n, T x, const Policy& pol) // Special case, n == 0 resolves down to the sinus cardinal of x: // if(n == 0) - return boost::math::sinc_pi(x, pol); + return (boost::math::isinf)(x) ? T(0) : boost::math::sinc_pi(x, pol); // // Special case for x == 0: // diff --git a/include/boost/math/special_functions/detail/bessel_ik.hpp b/include/boost/math/special_functions/detail/bessel_ik.hpp index da2310866..0c653b475 100644 --- a/include/boost/math/special_functions/detail/bessel_ik.hpp +++ b/include/boost/math/special_functions/detail/bessel_ik.hpp @@ -322,83 +322,96 @@ int bessel_ik(T v, T x, T* result_I, T* result_K, int kind, const Policy& pol) v = -v; // v is non-negative from here kind |= need_k; } - n = iround(v, pol); - u = v - n; // -1/2 <= u < 1/2 - BOOST_MATH_INSTRUMENT_VARIABLE(n); - BOOST_MATH_INSTRUMENT_VARIABLE(u); - BOOST_MATH_ASSERT(x > 0); // Error handling for x <= 0 handled in cyl_bessel_i and cyl_bessel_k - - // x is positive until reflection - W = 1 / x; // Wronskian - if (x <= 2) // x in (0, 2] - { - temme_ik(u, x, &Ku, &Ku1, pol); // Temme series - } - else // x in (2, \infty) - { - CF2_ik(u, x, &Ku, &Ku1, pol); // continued fraction CF2_ik - } - BOOST_MATH_INSTRUMENT_VARIABLE(Ku); - BOOST_MATH_INSTRUMENT_VARIABLE(Ku1); - prev = Ku; - current = Ku1; T scale = 1; T scale_sign = 1; - for (k = 1; k <= n; k++) // forward recurrence for K + + if (((kind & need_i) == 0) && (fabs(4 * v * v - 25) / (8 * x) < tools::forth_root_epsilon())) { - T fact = 2 * (u + k) / x; - // Check for overflow: if (max - |prev|) / fact > max, then overflow - // (max - |prev|) / fact > max - // max * (1 - fact) > |prev| - // if fact < 1: safe to compute overflow check - // if fact >= 1: won't overflow - const bool will_overflow = (fact < 1) - ? tools::max_value() * (1 - fact) > fabs(prev) - : false; - if(!will_overflow && ((tools::max_value() - fabs(prev)) / fact < fabs(current))) - { - prev /= current; - scale /= current; - scale_sign *= ((boost::math::signbit)(current) ? -1 : 1); - current = 1; - } - next = fact * current + prev; - prev = current; - current = next; + // A&S 9.7.2 + Iv = std::numeric_limits::quiet_NaN(); // any value will do + T mu = 4 * v * v; + T eight_z = 8 * x; + Kv = 1 + (mu - 1) / eight_z + (mu - 1) * (mu - 9) / (2 * eight_z * eight_z) + (mu - 1) * (mu - 9) * (mu - 25) / (6 * eight_z * eight_z * eight_z); + Kv *= exp(-x) * constants::root_pi() / sqrt(2 * x); } - Kv = prev; - Kv1 = current; - BOOST_MATH_INSTRUMENT_VARIABLE(Kv); - BOOST_MATH_INSTRUMENT_VARIABLE(Kv1); - if(kind & need_i) + else { - T lim = (4 * v * v + 10) / (8 * x); - lim *= lim; - lim *= lim; - lim /= 24; - if((lim < tools::epsilon() * 10) && (x > 100)) + n = iround(v, pol); + u = v - n; // -1/2 <= u < 1/2 + BOOST_MATH_INSTRUMENT_VARIABLE(n); + BOOST_MATH_INSTRUMENT_VARIABLE(u); + + BOOST_MATH_ASSERT(x > 0); // Error handling for x <= 0 handled in cyl_bessel_i and cyl_bessel_k + + // x is positive until reflection + W = 1 / x; // Wronskian + if (x <= 2) // x in (0, 2] { - // x is huge compared to v, CF1 may be very slow - // to converge so use asymptotic expansion for large - // x case instead. Note that the asymptotic expansion - // isn't very accurate - so it's deliberately very hard - // to get here - probably we're going to overflow: - Iv = asymptotic_bessel_i_large_x(v, x, pol); + temme_ik(u, x, &Ku, &Ku1, pol); // Temme series } - else if((v > 0) && (x / v < 0.25)) + else // x in (2, \infty) { - Iv = bessel_i_small_z_series(v, x, pol); + CF2_ik(u, x, &Ku, &Ku1, pol); // continued fraction CF2_ik } - else + BOOST_MATH_INSTRUMENT_VARIABLE(Ku); + BOOST_MATH_INSTRUMENT_VARIABLE(Ku1); + prev = Ku; + current = Ku1; + for (k = 1; k <= n; k++) // forward recurrence for K + { + T fact = 2 * (u + k) / x; + // Check for overflow: if (max - |prev|) / fact > max, then overflow + // (max - |prev|) / fact > max + // max * (1 - fact) > |prev| + // if fact < 1: safe to compute overflow check + // if fact >= 1: won't overflow + const bool will_overflow = (fact < 1) + ? tools::max_value() * (1 - fact) > fabs(prev) + : false; + if (!will_overflow && ((tools::max_value() - fabs(prev)) / fact < fabs(current))) + { + prev /= current; + scale /= current; + scale_sign *= ((boost::math::signbit)(current) ? -1 : 1); + current = 1; + } + next = fact * current + prev; + prev = current; + current = next; + } + Kv = prev; + Kv1 = current; + BOOST_MATH_INSTRUMENT_VARIABLE(Kv); + BOOST_MATH_INSTRUMENT_VARIABLE(Kv1); + if (kind & need_i) { - CF1_ik(v, x, &fv, pol); // continued fraction CF1_ik - Iv = scale * W / (Kv * fv + Kv1); // Wronskian relation + T lim = (4 * v * v + 10) / (8 * x); + lim *= lim; + lim *= lim; + lim /= 24; + if ((lim < tools::epsilon() * 10) && (x > 100)) + { + // x is huge compared to v, CF1 may be very slow + // to converge so use asymptotic expansion for large + // x case instead. Note that the asymptotic expansion + // isn't very accurate - so it's deliberately very hard + // to get here - probably we're going to overflow: + Iv = asymptotic_bessel_i_large_x(v, x, pol); + } + else if ((v > 0) && (x / v < 0.25)) + { + Iv = bessel_i_small_z_series(v, x, pol); + } + else + { + CF1_ik(v, x, &fv, pol); // continued fraction CF1_ik + Iv = scale * W / (Kv * fv + Kv1); // Wronskian relation + } } + else + Iv = std::numeric_limits::quiet_NaN(); // any value will do } - else - Iv = std::numeric_limits::quiet_NaN(); // any value will do - if (reflect) { T z = (u + n % 2); diff --git a/include/boost/math/special_functions/detail/bessel_jy_asym.hpp b/include/boost/math/special_functions/detail/bessel_jy_asym.hpp index 16b6543f9..cb09b202d 100644 --- a/include/boost/math/special_functions/detail/bessel_jy_asym.hpp +++ b/include/boost/math/special_functions/detail/bessel_jy_asym.hpp @@ -69,6 +69,8 @@ inline T asymptotic_bessel_y_large_x_2(T v, T x, const Policy& pol) BOOST_MATH_STD_USING // Get the phase and amplitude: T ampl = asymptotic_bessel_amplitude(v, x); + if (0 == ampl) + return ampl; T phase = asymptotic_bessel_phase_mx(v, x); BOOST_MATH_INSTRUMENT_VARIABLE(ampl); BOOST_MATH_INSTRUMENT_VARIABLE(phase); @@ -97,6 +99,8 @@ inline T asymptotic_bessel_j_large_x_2(T v, T x, const Policy& pol) BOOST_MATH_STD_USING // Get the phase and amplitude: T ampl = asymptotic_bessel_amplitude(v, x); + if (0 == ampl) + return ampl; // shortcut. T phase = asymptotic_bessel_phase_mx(v, x); BOOST_MATH_INSTRUMENT_VARIABLE(ampl); BOOST_MATH_INSTRUMENT_VARIABLE(phase); diff --git a/include/boost/math/special_functions/sinc.hpp b/include/boost/math/special_functions/sinc.hpp index 7220d30b8..ff1b2e966 100644 --- a/include/boost/math/special_functions/sinc.hpp +++ b/include/boost/math/special_functions/sinc.hpp @@ -19,6 +19,7 @@ #include #include #include +#include #include #include #include @@ -39,7 +40,11 @@ namespace boost { BOOST_MATH_STD_USING - if (abs(x) >= 3.3 * tools::forth_root_epsilon()) + if ((boost::math::isinf)(x)) + { + return 0; + } + else if (abs(x) >= 3.3 * tools::forth_root_epsilon()) { return(sin(x)/x); } diff --git a/include/boost/math/special_functions/sinhc.hpp b/include/boost/math/special_functions/sinhc.hpp index 6606ad3ea..70f6c72e6 100644 --- a/include/boost/math/special_functions/sinhc.hpp +++ b/include/boost/math/special_functions/sinhc.hpp @@ -16,7 +16,9 @@ #endif #include +#include #include +#include #include #include #include @@ -32,8 +34,8 @@ namespace boost { // This is the "Hyperbolic Sinus Cardinal" of index Pi. - template - inline T sinhc_pi_imp(const T x) + template + inline T sinhc_pi_imp(const T x, const Policy&) { using ::std::abs; using ::std::sinh; @@ -43,6 +45,10 @@ namespace boost static T const taylor_2_bound = sqrt(taylor_0_bound); static T const taylor_n_bound = sqrt(taylor_2_bound); + if((boost::math::isinf)(x)) + { + return policies::raise_overflow_error("sinhc(%1%)", nullptr, Policy()); + } if (abs(x) >= taylor_n_bound) { return(sinh(x)/x); @@ -69,20 +75,30 @@ namespace boost return(result); } } + // + // Temporary fix to keep multiprecision happy. + // REMOVE ME!! + // + template + inline T sinhc_pi_imp(const T x) + { + return sinhc_pi_imp(x, boost::math::policies::policy<>()); + } } // namespace detail - template - inline typename tools::promote_args::type sinhc_pi(T x) + template + inline typename tools::promote_args::type sinhc_pi(T x, const Policy& pol) { typedef typename tools::promote_args::type result_type; - return detail::sinhc_pi_imp(static_cast(x)); + return policies::checked_narrowing_cast(detail::sinhc_pi_imp(static_cast(x), pol), "sinhc(%1%)"); } - template - inline typename tools::promote_args::type sinhc_pi(T x, const Policy&) + template + inline typename tools::promote_args::type sinhc_pi(T x) { - return boost::math::sinhc_pi(x); + typedef typename tools::promote_args::type result_type; + return sinhc_pi(static_cast(x), policies::policy<>()); } template class U> diff --git a/test/test_bessel_j.cpp b/test/test_bessel_j.cpp index e2a7e83cc..19a5f7426 100644 --- a/test/test_bessel_j.cpp +++ b/test/test_bessel_j.cpp @@ -181,7 +181,7 @@ void expected_results() #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS - if((std::numeric_limits::digits != std::numeric_limits::digits) + BOOST_IF_CONSTEXPR ((std::numeric_limits::digits != std::numeric_limits::digits) && (std::numeric_limits::digits < 90)) { // some errors spill over into type double as well: @@ -238,7 +238,7 @@ void expected_results() ".*(JN|j).*|.*Tricky.*", // test data group ".*", 33000, 20000); // test function } - else if (std::numeric_limits::digits >= 90) + else BOOST_IF_CONSTEXPR (std::numeric_limits::digits >= 90) { add_expected_result( ".*", // compiler diff --git a/test/test_bessel_j.hpp b/test/test_bessel_j.hpp index 2d10bc6c9..82106213e 100644 --- a/test/test_bessel_j.hpp +++ b/test/test_bessel_j.hpp @@ -280,5 +280,21 @@ void test_bessel(T, const char* name) BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j(T(0), T(2.5)), boost::math::cyl_bessel_j(T(0), T(-2.5))); BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j(T(1), T(2.5)), -boost::math::cyl_bessel_j(T(1), T(-2.5))); BOOST_CHECK_CLOSE_FRACTION(boost::math::cyl_bessel_j(364, T(38.5)), SC_(1.793940496519190500748409872348034004417458734118663909894e-309), tolerance); + // + // Special cases at infinity: + // + BOOST_IF_CONSTEXPR (std::numeric_limits::has_infinity) + { + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j(T(0), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j(T(2), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j(T(1.25), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::sph_bessel(0, std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::sph_bessel(1, std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::sph_bessel(2, std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::sph_bessel(3, std::numeric_limits::infinity()), T(0)); + + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j(T(0), -std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_j(T(2), -std::numeric_limits::infinity()), T(0)); + } } diff --git a/test/test_bessel_k.hpp b/test/test_bessel_k.hpp index c0eb9aefd..22df3218f 100644 --- a/test/test_bessel_k.hpp +++ b/test/test_bessel_k.hpp @@ -184,6 +184,11 @@ void test_bessel(T, const char* name) { BOOST_CHECK_EQUAL(boost::math::cyl_bessel_k(16, ldexp(T(1), -1021)), std::numeric_limits::infinity()); } + + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_k(T(0), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_k(T(1), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_k(T(2), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_bessel_k(T(2.25), std::numeric_limits::infinity()), T(0)); } BOOST_CHECK_THROW(boost::math::cyl_bessel_k(T(1.25), T(0)), std::domain_error); BOOST_CHECK_THROW(boost::math::cyl_bessel_k(T(-1.25), T(0)), std::domain_error); diff --git a/test/test_bessel_y.hpp b/test/test_bessel_y.hpp index 3e489d095..28361a227 100644 --- a/test/test_bessel_y.hpp +++ b/test/test_bessel_y.hpp @@ -232,7 +232,15 @@ void test_bessel(T, const char* name) { BOOST_CHECK_EQUAL(boost::math::cyl_neumann(T(121.25), T(0.25)), -std::numeric_limits::infinity()); } + BOOST_CHECK_EQUAL(boost::math::cyl_neumann(T(0), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_neumann(T(1), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_neumann(T(2), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::cyl_neumann(T(2.25), std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::sph_neumann(0, std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::sph_neumann(1, std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::sph_neumann(2, std::numeric_limits::infinity()), T(0)); } + BOOST_CHECK_THROW(boost::math::cyl_neumann(T(0), T(-1)), std::domain_error); BOOST_CHECK_THROW(boost::math::cyl_neumann(T(0.2), T(-1)), std::domain_error); BOOST_CHECK_THROW(boost::math::cyl_neumann(T(2), T(0)), std::domain_error); diff --git a/test/test_sinc.cpp b/test/test_sinc.cpp index ad0eaeb94..e72c640cb 100644 --- a/test/test_sinc.cpp +++ b/test/test_sinc.cpp @@ -7,6 +7,7 @@ #include "test_sinc.hpp" #include #include +#include // // DESCRIPTION: @@ -80,6 +81,32 @@ void test_close_to_transition() BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3); val = boost::math::float_next(val); } + + BOOST_IF_CONSTEXPR(std::numeric_limits::has_infinity) + { + BOOST_CHECK_EQUAL(boost::math::sinc_pi(std::numeric_limits::infinity()), T(0)); + BOOST_CHECK_EQUAL(boost::math::sinc_pi(-std::numeric_limits::infinity()), T(0)); + BOOST_IF_CONSTEXPR(boost::math::policies::policy<>::overflow_error_type::value == boost::math::policies::throw_on_error) + { + BOOST_CHECK_THROW(boost::math::sinhc_pi(std::numeric_limits::infinity()), std::overflow_error); + BOOST_CHECK_THROW(boost::math::sinhc_pi(-std::numeric_limits::infinity()), std::overflow_error); + } + else + { + BOOST_CHECK_EQUAL(boost::math::sinhc_pi(std::numeric_limits::infinity()), std::numeric_limits::infinity()); + BOOST_CHECK_EQUAL(boost::math::sinhc_pi(-std::numeric_limits::infinity()), std::numeric_limits::infinity()); + } + } + BOOST_IF_CONSTEXPR(boost::math::policies::policy<>::overflow_error_type::value == boost::math::policies::throw_on_error) + { + BOOST_CHECK_THROW(boost::math::sinhc_pi(boost::math::tools::max_value()), std::overflow_error); + BOOST_CHECK_THROW(boost::math::sinhc_pi(-boost::math::tools::max_value()), std::overflow_error); + } + else BOOST_IF_CONSTEXPR(std::numeric_limits::has_infinity) + { + BOOST_CHECK_EQUAL(boost::math::sinhc_pi(boost::math::tools::max_value()), std::numeric_limits::infinity()); + BOOST_CHECK_EQUAL(boost::math::sinhc_pi(-boost::math::tools::max_value()), std::numeric_limits::infinity()); + } } From 7de81456dc278f135ddc18a764a4006491d2ecf8 Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sat, 15 Jun 2024 16:08:35 +0100 Subject: [PATCH 56/58] Remove overload no longer required by multiprecision. --- include/boost/math/special_functions/sinhc.hpp | 9 --------- 1 file changed, 9 deletions(-) diff --git a/include/boost/math/special_functions/sinhc.hpp b/include/boost/math/special_functions/sinhc.hpp index 70f6c72e6..b8c5f9f2e 100644 --- a/include/boost/math/special_functions/sinhc.hpp +++ b/include/boost/math/special_functions/sinhc.hpp @@ -75,15 +75,6 @@ namespace boost return(result); } } - // - // Temporary fix to keep multiprecision happy. - // REMOVE ME!! - // - template - inline T sinhc_pi_imp(const T x) - { - return sinhc_pi_imp(x, boost::math::policies::policy<>()); - } } // namespace detail From e70c97e6ebdbfa8d8a9d4a5fc43372c4f6a72cb3 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 2 Jul 2024 16:54:51 -0400 Subject: [PATCH 57/58] Add randomize_va_space to drone --- .drone/drone.sh | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/.drone/drone.sh b/.drone/drone.sh index 4ccf92eb7..86dbf129f 100644 --- a/.drone/drone.sh +++ b/.drone/drone.sh @@ -40,6 +40,10 @@ python tools/boostdep/depinst/depinst.py math ./bootstrap.sh ./b2 headers +if [[ $(uname) == "Linux" ]]; then + echo 0 | sudo tee /proc/sys/kernel/randomize_va_space +fi + echo '==================================> BEFORE_SCRIPT' . $DRONE_BUILD_DIR/.drone/before-script.sh From 24e10f63b7c4e82a38e828cc593b5210c8a83919 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Wed, 3 Jul 2024 10:30:59 -0400 Subject: [PATCH 58/58] Replace GCC-14 sanitizers with Clang-18 --- .drone.star | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/.drone.star b/.drone.star index 3fe60b42d..2202c6017 100644 --- a/.drone.star +++ b/.drone.star @@ -32,10 +32,10 @@ def main(ctx): # # Sanitizers: # - result.append(linux_cxx("Ubuntu g++-14 C++20 ASAN" + " " + suite, "g++-14", packages="g++-14", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-14', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=address -fsanitize=address -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) - result.append(linux_cxx("Ubuntu g++-14 C++20 USAN" + " " + suite, "g++-14", packages="g++-14", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-14', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=undefined -fsanitize=undefined -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) - result.append(linux_cxx("Ubuntu g++-14 C++20 TSAN" + " " + suite, "g++-14", packages="g++-14", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-14', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=thread -fsanitize=thread -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) - result.append(linux_cxx("Ubuntu clang++-18 C++20 ISAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=integer -fsanitize=integer' }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu Clang-18 C++20 ASAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=address -fsanitize=address -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu Clang-18 C++20 USAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=undefined -fsanitize=undefined -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu Clang-18 C++20 TSAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=thread -fsanitize=thread -DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv)) + result.append(linux_cxx("Ubuntu Clang-18 C++20 ISAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '-fsanitize=integer -fsanitize=integer' }, globalenv=globalenv)) for suite in things_to_test: for cxx in gnu_5_stds: