diff options
Diffstat (limited to 'boost/math/constants/calculate_constants.hpp')
| -rw-r--r-- | boost/math/constants/calculate_constants.hpp | 33 |
1 files changed, 21 insertions, 12 deletions
diff --git a/boost/math/constants/calculate_constants.hpp b/boost/math/constants/calculate_constants.hpp index 0b78929e71..2dcdb9a02b 100644 --- a/boost/math/constants/calculate_constants.hpp +++ b/boost/math/constants/calculate_constants.hpp @@ -85,6 +85,7 @@ template <class T> // sqrt(2/pi) template <int N> inline T constant_root_two_div_pi<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpl::int_<N>)) { + BOOST_MATH_STD_USING return sqrt((2 / pi<T, policies::policy<policies::digits2<N> > >())); } @@ -121,6 +122,14 @@ inline T constant_root_two_pi<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC template <class T> template<int N> +inline T constant_log_root_two_pi<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpl::int_<N>)) +{ + BOOST_MATH_STD_USING + return log(root_two_pi<T, policies::policy<policies::digits2<N> > >()); +} + +template <class T> +template<int N> inline T constant_root_ln_four<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpl::int_<N>)) { BOOST_MATH_STD_USING @@ -156,11 +165,11 @@ inline T constant_euler<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpl:: // This is the method described in: // "Some New Algorithms for High-Precision Computation of Euler's Constant" // Richard P Brent and Edwin M McMillan. - // Mathematics of Comnputation, Volume 34, Number 149, Jan 1980, pages 305-312. + // Mathematics of Computation, Volume 34, Number 149, Jan 1980, pages 305-312. // See equation 17 with p = 2. // T n = 3 + (M ? (std::min)(M, tools::digits<T>()) : tools::digits<T>()) / 4; - T lim = M ? ldexp(T(1), (std::min)(M, tools::digits<T>())) : tools::epsilon<T>(); + T lim = M ? ldexp(T(1), 1 - (std::min)(M, tools::digits<T>())) : tools::epsilon<T>(); T lnn = log(n); T term = 1; T N = -lnn; @@ -301,13 +310,13 @@ inline T constant_four_minus_pi<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SP return static_cast<T>(4) - pi<T, policies::policy<policies::digits2<N> > >(); } -template <class T> -template<int N> -inline T constant_pow23_four_minus_pi<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpl::int_<N>)) -{ - BOOST_MATH_STD_USING - return pow(four_minus_pi<T, policies::policy<policies::digits2<N> > >(), static_cast<T>(1.5)); -} +//template <class T> +//template<int N> +//inline T constant_pow23_four_minus_pi<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpl::int_<N>)) +//{ +// BOOST_MATH_STD_USING +// return pow(four_minus_pi<T, policies::policy<policies::digits2<N> > >(), static_cast<T>(1.5)); +//} template <class T> template<int N> @@ -595,7 +604,7 @@ inline T constant_zeta_three<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC( //"1.202056903159594285399738161511449990, 76498629234049888179227155534183820578631309018645587360933525814619915" A002117 // 1.202056903159594285399738161511449990, 76498629234049888179227155534183820578631309018645587360933525814619915780, +00); //"1.2020569031595942 double - // http://www.spaennare.se/SSPROG/ssnum.pdf // section 11, Algorithmfor Apery’s constant zeta(3). + // http://www.spaennare.se/SSPROG/ssnum.pdf // section 11, Algorithm for Apery's constant zeta(3). // Programs to Calculate some Mathematical Constants to Large Precision, Document Version 1.50 // by Stefan Spannare September 19, 2007 @@ -928,7 +937,7 @@ template <class T> template<int N> inline T constant_rayleigh_kurtosis_excess<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpl::int_<N>)) { // - (6 Pi^2 - 24 Pi + 16)/((Pi - 4)^2) - // Might provide provide and calculate this using pi_minus_four. + // Might provide and calculate this using pi_minus_four. BOOST_MATH_STD_USING return - (((static_cast<T>(6) * pi<T, policies::policy<policies::digits2<N> > >() * pi<T, policies::policy<policies::digits2<N> > >()) @@ -943,7 +952,7 @@ template <class T> template<int N> inline T constant_rayleigh_kurtosis<T>::compute(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpl::int_<N>)) { // 3 - (6 Pi^2 - 24 Pi + 16)/((Pi - 4)^2) - // Might provide provide and calculate this using pi_minus_four. + // Might provide and calculate this using pi_minus_four. BOOST_MATH_STD_USING return static_cast<T>(3) - (((static_cast<T>(6) * pi<T, policies::policy<policies::digits2<N> > >() * pi<T, policies::policy<policies::digits2<N> > >()) |