EVOLUTION-MANAGER

Edit File: exp_sinh_detail.hpp

// Copyright Nick Thompson, 2017 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt // or copy at http://www.boost.org/LICENSE_1_0.txt) #ifndef BOOST_MATH_QUADRATURE_DETAIL_EXP_SINH_DETAIL_HPP #define BOOST_MATH_QUADRATURE_DETAIL_EXP_SINH_DETAIL_HPP #include <cmath> #include <vector> #include <typeinfo> #include <boost/math/constants/constants.hpp> #include <boost/math/special_functions/next.hpp> #include <boost/math/tools/atomic.hpp> #include <boost/detail/lightweight_mutex.hpp> namespace boost{ namespace math{ namespace quadrature { namespace detail{ // Returns the exp-sinh quadrature of a function f over the open interval (0, infinity) template<class Real, class Policy> class exp_sinh_detail { static const int initializer_selector = !std::numeric_limits<Real>::is_specialized || (std::numeric_limits<Real>::radix != 2) ? 0 : (std::numeric_limits<Real>::digits < 30) && (std::numeric_limits<Real>::max_exponent <= 128) ? 1 : (std::numeric_limits<Real>::digits <= std::numeric_limits<double>::digits) && (std::numeric_limits<Real>::max_exponent <= std::numeric_limits<double>::max_exponent) ? 2 : (std::numeric_limits<Real>::digits <= std::numeric_limits<long double>::digits) && (std::numeric_limits<Real>::max_exponent <= 16384) ? 3 : #ifdef BOOST_HAS_FLOAT128 (std::numeric_limits<Real>::digits <= 113) && (std::numeric_limits<Real>::max_exponent <= 16384) ? 4 : #endif 0; public: exp_sinh_detail(size_t max_refinements); template<class F> auto integrate(const F& f, Real* error, Real* L1, const char* function, Real tolerance, std::size_t* levels)->decltype(std::declval<F>()(std::declval<Real>())) const; private: const std::vector<Real>& get_abscissa_row(std::size_t n)const { #ifndef BOOST_MATH_NO_ATOMIC_INT if (m_committed_refinements.load() < n) extend_refinements(); BOOST_ASSERT(m_committed_refinements.load() >= n); #else if (m_committed_refinements < n) extend_refinements(); BOOST_ASSERT(m_committed_refinements >= n); #endif return m_abscissas[n]; } const std::vector<Real>& get_weight_row(std::size_t n)const { #ifndef BOOST_MATH_NO_ATOMIC_INT if (m_committed_refinements.load() < n) extend_refinements(); BOOST_ASSERT(m_committed_refinements.load() >= n); #else if (m_committed_refinements < n) extend_refinements(); BOOST_ASSERT(m_committed_refinements >= n); #endif return m_weights[n]; } void init(const mpl::int_<0>&); void init(const mpl::int_<1>&); void init(const mpl::int_<2>&); void init(const mpl::int_<3>&); #ifdef BOOST_HAS_FLOAT128 void init(const mpl::int_<4>&); #endif void extend_refinements()const { #ifndef BOOST_MATH_NO_ATOMIC_INT boost::detail::lightweight_mutex::scoped_lock guard(m_mutex); #endif // // Check some other thread hasn't got here after we read the atomic variable, but before we got here: // #ifndef BOOST_MATH_NO_ATOMIC_INT if (m_committed_refinements.load() >= m_max_refinements) return; #else if (m_committed_refinements >= m_max_refinements) return; #endif using std::ldexp; using std::ceil; using std::sinh; using std::cosh; using std::exp; std::size_t row = ++m_committed_refinements; Real h = ldexp(Real(1), -static_cast<int>(row)); const Real t_max = m_t_min + m_abscissas[0].size() - 1; size_t k = (size_t)boost::math::lltrunc(ceil((t_max - m_t_min) / (2 * h))); m_abscissas[row].reserve(k); m_weights[row].reserve(k); Real arg = m_t_min; size_t j = 0; size_t l = 2; while (arg + l*h < t_max) { arg = m_t_min + (2 * j + 1)*h; Real x = exp(constants::half_pi<Real>()*sinh(arg)); m_abscissas[row].emplace_back(x); Real w = cosh(arg)*constants::half_pi<Real>()*x; m_weights[row].emplace_back(w); ++j; } } Real m_tol, m_t_min; mutable std::vector<std::vector<Real>> m_abscissas; mutable std::vector<std::vector<Real>> m_weights; std::size_t m_max_refinements; #ifndef BOOST_MATH_NO_ATOMIC_INT mutable boost::math::detail::atomic_unsigned_type m_committed_refinements; mutable boost::detail::lightweight_mutex m_mutex; #else mutable unsigned m_committed_refinements; #endif }; template<class Real, class Policy> exp_sinh_detail<Real, Policy>::exp_sinh_detail(size_t max_refinements) : m_abscissas(max_refinements), m_weights(max_refinements), m_max_refinements(max_refinements) { init(mpl::int_<initializer_selector>()); } template<class Real, class Policy> template<class F> auto exp_sinh_detail<Real, Policy>::integrate(const F& f, Real* error, Real* L1, const char* function, Real tolerance, std::size_t* levels)->decltype(std::declval<F>()(std::declval<Real>())) const { typedef decltype(f(Real(0))) K; using std::abs; using std::floor; using std::tanh; using std::sinh; using std::sqrt; using boost::math::constants::half; using boost::math::constants::half_pi; // This provided a nice error message for real valued integrals, but it's super awkward for complex-valued integrals: /*K y_max = f(tools::max_value<Real>()); if(abs(y_max) > tools::epsilon<Real>() || !(boost::math::isfinite)(y_max)) { K val = abs(y_max); return static_cast<K>(policies::raise_domain_error(function, "The function you are trying to integrate does not go to zero at infinity, and instead evaluates to %1%", val, Policy())); }*/ //std::cout << std::setprecision(5*std::numeric_limits<Real>::digits10); // Get the party started with two estimates of the integral: K I0 = 0; Real L1_I0 = 0; for(size_t i = 0; i < m_abscissas[0].size(); ++i) { K y = f(m_abscissas[0][i]); I0 += y*m_weights[0][i]; L1_I0 += abs(y)*m_weights[0][i]; } //std::cout << "First estimate : " << I0 << std::endl; K I1 = I0; Real L1_I1 = L1_I0; for (size_t i = 0; i < m_abscissas[1].size(); ++i) { K y = f(m_abscissas[1][i]); I1 += y*m_weights[1][i]; L1_I1 += abs(y)*m_weights[1][i]; } I1 *= half<Real>(); L1_I1 *= half<Real>(); Real err = abs(I0 - I1); //std::cout << "Second estimate: " << I1 << " Error estimate at level " << 1 << " = " << err << std::endl; size_t i = 2; for(; i < m_abscissas.size(); ++i) { I0 = I1; L1_I0 = L1_I1; I1 = half<Real>()*I0; L1_I1 = half<Real>()*L1_I0; Real h = (Real) 1/ (Real) (1 << i); K sum = 0; Real absum = 0; auto abscissas_row = get_abscissa_row(i); auto weight_row = get_weight_row(i); Real abterm1 = 1; Real eps = tools::epsilon<Real>()*L1_I1; for(size_t j = 0; j < m_weights[i].size(); ++j) { Real x = abscissas_row[j]; K y = f(x); sum += y*weight_row[j]; Real abterm0 = abs(y)*weight_row[j]; absum += abterm0; // We require two consecutive terms to be < eps in case we hit a zero of f. // Numerical experiments indicate that we should start this check at ~30 for floats, // ~60 for doubles, and ~100 for long doubles. // However, starting the check at x = 10 rather than x = 100 will only save two function evaluations. if (x > (Real) 100 && abterm0 < eps && abterm1 < eps) { break; } abterm1 = abterm0; } I1 += sum*h; L1_I1 += absum*h; 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)) { return static_cast<K>(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())); } if (err <= tolerance*L1_I1) { break; } } if (error) { *error = err; } if(L1) { *L1 = L1_I1; } if (levels) { *levels = i; } return I1; } template<class Real, class Policy> void exp_sinh_detail<Real, Policy>::init(const mpl::int_<0>&) { using std::exp; using std::log; using std::sqrt; using std::cosh; using std::sinh; using std::asinh; using std::ceil; using boost::math::constants::two_div_pi; using boost::math::constants::half_pi; using boost::math::constants::half; m_committed_refinements = 4; // m_t_min is chosen such that x = exp(pi/2 sinh(-t_max)) = very small, but not too small. // This is a compromise; we wish to approach a singularity at zero without hitting it through roundoff error. // If we choose the small number as epsilon, we do not get close enough to the singularity to achieve high accuracy. // If we choose the small number as the min(), then we round off to zero and hit the singularity. // The logarithmic average of the min() and the epsilon() has been found to be a reasonable compromise, which achieves high accuracy // but does not evaluate the function at the singularity. Real tmp = (boost::math::tools::log_min_value<Real>() + log(boost::math::tools::epsilon<Real>()))*half<Real>(); m_t_min = asinh(two_div_pi<Real>()*tmp); // t_max is chosen to make g'(t_max) ~ sqrt(max) (g' grows faster than g). // This will allow some flexibility on the users part; they can at least square a number function without overflow. // But there is no unique choice; the further out we can evaluate the function, the better we can do on slowly decaying integrands. const Real t_max = log(2 * two_div_pi<Real>()*log(2 * two_div_pi<Real>()*sqrt(tools::max_value<Real>()))); for (size_t i = 0; i <= m_committed_refinements; ++i) { Real h = (Real)1 / (Real)(1 << i); size_t k = (size_t)boost::math::lltrunc(ceil((t_max - m_t_min) / (2 * h))); m_abscissas[i].reserve(k); m_weights[i].reserve(k); Real arg = m_t_min; size_t j = 0; size_t l = 2; if (i == 0) { l = 1; } while (arg + l*h < t_max) { if (i != 0) { arg = m_t_min + (2 * j + 1)*h; } else { arg = m_t_min + j*h; } Real x = exp(half_pi<Real>()*sinh(arg)); m_abscissas[i].emplace_back(x); Real w = cosh(arg)*half_pi<Real>()*x; m_weights[i].emplace_back(w); ++j; } } /* std::cout << std::setprecision(40) << m_t_min << std::endl; for (unsigned i = 0; i <= m_committed_refinements; ++i) { std::cout << "{ "; for (unsigned j = 0; j < m_abscissas[i].size(); ++j) std::cout << m_abscissas[i][j] << "Q, "; std::cout << " },\n"; } for (unsigned i = 0; i <= m_committed_refinements; ++i) { std::cout << "{ "; for (unsigned j = 0; j < m_weights[i].size(); ++j) std::cout << m_weights[i][j] << "Q, "; std::cout << " },\n"; } */ } template<class Real, class Policy> void exp_sinh_detail<Real, Policy>::init(const mpl::int_<1>&) { m_abscissas = { { 3.47876573e-23f, 5.62503650e-09f, 9.95706124e-04f, 9.67438487e-02f, 7.43599217e-01f, 4.14293205e+00f, 1.08086768e+02f, 4.56291316e+05f, 2.70123007e+15f, }, { 2.41870864e-14f, 1.02534662e-05f, 1.65637566e-02f, 3.11290799e-01f, 1.64691269e+00f, 1.49800773e+01f, 2.57724301e+03f, 2.24833766e+09f, }, { 3.24983286e-18f, 2.51095186e-11f, 3.82035773e-07f, 1.33717837e-04f, 4.80260650e-03f, 4.41526928e-02f, 1.83045938e-01f, 4.91960276e-01f, 1.10322609e+00f, 2.53681744e+00f, 7.39791792e+00f, 3.59560256e+01f, 4.36061333e+02f, 2.49501460e+04f, 1.89216933e+07f, 1.03348694e+12f, }, { 1.51941172e-20f, 3.70201714e-16f, 9.67598102e-13f, 4.44773051e-10f, 5.28493928e-08f, 2.19158236e-06f, 4.00799258e-05f, 3.88011529e-04f, 2.29325538e-03f, 9.25182629e-03f, 2.78117501e-02f, 6.67553298e-02f, 1.35173168e-01f, 2.41374946e-01f, 3.94194704e-01f, 6.07196731e-01f, 9.06432514e-01f, 1.34481045e+00f, 2.03268444e+00f, 3.21243032e+00f, 5.46310949e+00f, 1.03365745e+01f, 2.26486752e+01f, 6.03727778e+01f, 2.08220266e+02f, 1.00431239e+03f, 7.47843388e+03f, 9.75279951e+04f, 2.61755592e+06f, 1.77776624e+08f, 3.98255346e+10f, 4.13443763e+13f, 3.07708133e+17f, }, { 7.99409438e-22f, 2.41624595e-19f, 3.73461321e-17f, 3.19397902e-15f, 1.62042378e-13f, 5.18579386e-12f, 1.10520072e-10f, 1.64548212e-09f, 1.78534009e-08f, 1.46529196e-07f, 9.40168786e-07f, 4.85507733e-06f, 2.07038029e-05f, 7.45799409e-05f, 2.31536599e-04f, 6.30580368e-04f, 1.53035449e-03f, 3.35582040e-03f, 6.73124842e-03f, 1.24856832e-02f, 2.16245309e-02f, 3.52720523e-02f, 5.45995171e-02f, 8.07587788e-02f, 1.14840025e-01f, 1.57867103e-01f, 2.10837078e-01f, 2.74805391e-01f, 3.51015955e-01f, 4.41077540e-01f, 5.47194016e-01f, 6.72466825e-01f, 8.21304567e-01f, 1.00000000e+00f, 1.21757511e+00f, 1.48706221e+00f, 1.82750536e+00f, 2.26717507e+00f, 2.84887335e+00f, 3.63893880e+00f, 4.74299876e+00f, 6.33444194e+00f, 8.70776542e+00f, 1.23825548e+01f, 1.83151803e+01f, 2.83510579e+01f, 4.62437776e+01f, 8.00917327e+01f, 1.48560852e+02f, 2.97989725e+02f, 6.53443372e+02f, 1.58584068e+03f, 4.31897162e+03f, 1.34084311e+04f, 4.83003053e+04f, 2.05969943e+05f, 1.06363880e+06f, 6.82457850e+06f, 5.60117371e+07f, 6.07724622e+08f, 9.04813016e+09f, 1.92834507e+11f, 6.17122515e+12f, 3.13089095e+14f, 2.67765347e+16f, 4.13865153e+18f, }, { 1.70893932e-22f, 3.56621447e-21f, 6.19138882e-20f, 9.04299298e-19f, 1.12287188e-17f, 1.19706303e-16f, 1.10583090e-15f, 8.92931857e-15f, 6.35404710e-14f, 4.01527389e-13f, 2.26955738e-12f, 1.15522811e-11f, 5.32913181e-11f, 2.24130967e-10f, 8.64254491e-10f, 3.07161058e-09f, 1.01117742e-08f, 3.09775637e-08f, 8.87004371e-08f, 2.38368096e-07f, 6.03520392e-07f, 1.44488635e-06f, 3.28212299e-06f, 7.09655821e-06f, 1.46494407e-05f, 2.89537394e-05f, 5.49357161e-05f, 1.00313252e-04f, 1.76700203e-04f, 3.00920507e-04f, 4.96484845e-04f, 7.95150594e-04f, 1.23845781e-03f, 1.87911525e-03f, 2.78210510e-03f, 4.02538552e-03f, 5.70009588e-03f, 7.91020800e-03f, 1.07716137e-02f, 1.44106884e-02f, 1.89624177e-02f, 2.45682104e-02f, 3.13735515e-02f, 3.95256605e-02f, 4.91713196e-02f, 6.04550279e-02f, 7.35176150e-02f, 8.84954195e-02f, 1.05520113e-01f, 1.24719213e-01f, 1.46217318e-01f, 1.70138063e-01f, 1.96606781e-01f, 2.25753880e-01f, 2.57718900e-01f, 2.92655274e-01f, 3.30735809e-01f, 3.72158929e-01f, 4.17155794e-01f, 4.65998399e-01f, 5.19008863e-01f, 5.76570161e-01f, 6.39138643e-01f, 7.07258781e-01f, 7.81580731e-01f, 8.62881450e-01f, 9.52090320e-01f, 1.05032052e+00f, 1.15890775e+00f, 1.27945836e+00f, 1.41390963e+00f, 1.56460576e+00f, 1.73439430e+00f, 1.92674937e+00f, 2.14593012e+00f, 2.39718593e+00f, 2.68702407e+00f, 3.02356133e+00f, 3.41698950e+00f, 3.88019661e+00f, 4.42960272e+00f, 5.08629455e+00f, 5.87757956e+00f, 6.83913514e+00f, 8.01801085e+00f, 9.47686632e+00f, 1.13000199e+01f, 1.36021823e+01f, 1.65412214e+01f, 2.03370584e+01f, 2.53000199e+01f, 3.18739815e+01f, 4.07030054e+01f, 5.27358913e+01f, 6.93929374e+01f, 9.28366010e+01f, 1.26418926e+02f, 1.75435645e+02f, 2.48423411e+02f, 3.59440052e+02f, 5.32165336e+02f, 8.07455844e+02f, 1.25762341e+03f, 2.01416017e+03f, 3.32313676e+03f, 5.65930306e+03f, 9.96877263e+03f, 1.82030939e+04f, 3.45378531e+04f, 6.82619916e+04f, 1.40913380e+05f, 3.04680844e+05f, 6.92095957e+05f, 1.65694484e+06f, 4.19519229e+06f, 1.12739016e+07f, 3.22814282e+07f, 9.88946136e+07f, 3.25562103e+08f, 1.15706659e+09f, 4.46167708e+09f, 1.87647826e+10f, 8.65629909e+10f, 4.40614549e+11f, 2.49049013e+12f, 1.57380011e+13f, 1.11990629e+14f, 9.04297390e+14f, 8.35377903e+15f, 8.90573552e+16f, 1.10582857e+18f, 1.61514650e+19f, }, { 7.75845008e-23f, 3.71846701e-22f, 1.69833677e-21f, 7.40284853e-21f, 3.08399399e-20f, 1.22962599e-19f, 4.69855182e-19f, 1.72288020e-18f, 6.07012059e-18f, 2.05742924e-17f, 6.71669437e-17f, 2.11441966e-16f, 6.42566550e-16f, 1.88715605e-15f, 5.36188198e-15f, 1.47533056e-14f, 3.93507835e-14f, 1.01841667e-13f, 2.55981752e-13f, 6.25453236e-13f, 1.48683211e-12f, 3.44173601e-12f, 7.76421789e-12f, 1.70831312e-11f, 3.66877698e-11f, 7.69632540e-11f, 1.57822184e-10f, 3.16577320e-10f, 6.21604166e-10f, 1.19551931e-09f, 2.25364361e-09f, 4.16647469e-09f, 7.55905964e-09f, 1.34658870e-08f, 2.35675936e-08f, 4.05458117e-08f, 6.86052525e-08f, 1.14227960e-07f, 1.87243781e-07f, 3.02323521e-07f, 4.81026747e-07f, 7.54564302e-07f, 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2.09099200e-03f, 2.34747474e-03f, 2.63018699e-03f, 2.94119122e-03f, 3.28264890e-03f, 3.65681963e-03f, 4.06605991e-03f, 4.51282135e-03f, 4.99964828e-03f, 5.52917497e-03f, 6.10412222e-03f, 6.72729343e-03f, 7.40157020e-03f, 8.12990738e-03f, 8.91532760e-03f, 9.76091537e-03f, 1.06698107e-02f, 1.16452023e-02f, 1.26903202e-02f, 1.38084285e-02f, 1.50028172e-02f, 1.62767940e-02f, 1.76336759e-02f, 1.90767806e-02f, 2.06094173e-02f, 2.22348784e-02f, 2.39564300e-02f, 2.57773028e-02f, 2.77006834e-02f, 2.97297055e-02f, 3.18674406e-02f, 3.41168899e-02f, 3.64809756e-02f, 3.89625331e-02f, 4.15643030e-02f, 4.42889240e-02f, 4.71389254e-02f, 5.01167213e-02f, 5.32246039e-02f, 5.64647382e-02f, 5.98391571e-02f, 6.33497571e-02f, 6.69982939e-02f, 7.07863800e-02f, 7.47154815e-02f, 7.87869165e-02f, 8.30018539e-02f, 8.73613125e-02f, 9.18661613e-02f, 9.65171203e-02f, 1.01314762e-01f, 1.06259513e-01f, 1.11351656e-01f, 1.16591337e-01f, 1.21978563e-01f, 1.27513213e-01f, 1.33195039e-01f, 1.39023671e-01f, 1.44998628e-01f, 1.51119321e-01f, 1.57385061e-01f, 1.63795066e-01f, 1.70348473e-01f, 1.77044340e-01f, 1.83881662e-01f, 1.90859375e-01f, 1.97976367e-01f, 2.05231492e-01f, 2.12623572e-01f, 2.20151415e-01f, 2.27813822e-01f, 2.35609599e-01f, 2.43537565e-01f, 2.51596569e-01f, 2.59785494e-01f, 2.68103274e-01f, 2.76548903e-01f, 2.85121445e-01f, 2.93820047e-01f, 3.02643950e-01f, 3.11592502e-01f, 3.20665165e-01f, 3.29861530e-01f, 3.39181328e-01f, 3.48624439e-01f, 3.58190905e-01f, 3.67880941e-01f, 3.77694943e-01f, 3.87633504e-01f, 3.97697421e-01f, 4.07887708e-01f, 4.18205605e-01f, 4.28652591e-01f, 4.39230391e-01f, 4.49940993e-01f, 4.60786652e-01f, 4.71769905e-01f, 4.82893580e-01f, 4.94160809e-01f, 5.05575036e-01f, 5.17140031e-01f, 5.28859900e-01f, 5.40739096e-01f, 5.52782432e-01f, 5.64995090e-01f, 5.77382639e-01f, 5.89951040e-01f, 6.02706666e-01f, 6.15656310e-01f, 6.28807202e-01f, 6.42167019e-01f, 6.55743908e-01f, 6.69546490e-01f, 6.83583887e-01f, 6.97865729e-01f, 7.12402181e-01f, 7.27203953e-01f, 7.42282322e-01f, 7.57649155e-01f, 7.73316926e-01f, 7.89298740e-01f, 8.05608358e-01f, 8.22260217e-01f, 8.39269463e-01f, 8.56651970e-01f, 8.74424378e-01f, 8.92604116e-01f, 9.11209442e-01f, 9.30259469e-01f, 9.49774208e-01f, 9.69774604e-01f, 9.90282579e-01f, 1.01132107e+00f, 1.03291408e+00f, 1.05508673e+00f, 1.07786529e+00f, 1.10127728e+00f, 1.12535146e+00f, 1.15011796e+00f, 1.17560829e+00f, 1.20185546e+00f, 1.22889400e+00f, 1.25676010e+00f, 1.28549162e+00f, 1.31512826e+00f, 1.34571158e+00f, 1.37728514e+00f, 1.40989460e+00f, 1.44358784e+00f, 1.47841507e+00f, 1.51442894e+00f, 1.55168471e+00f, 1.59024039e+00f, 1.63015687e+00f, 1.67149810e+00f, 1.71433126e+00f, 1.75872698e+00f, 1.80475947e+00f, 1.85250679e+00f, 1.90205105e+00f, 1.95347869e+00f, 2.00688065e+00f, 2.06235275e+00f, 2.11999592e+00f, 2.17991652e+00f, 2.24222670e+00f, 2.30704472e+00f, 2.37449538e+00f, 2.44471039e+00f, 2.51782884e+00f, 2.59399766e+00f, 2.67337209e+00f, 2.75611628e+00f, 2.84240383e+00f, 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3.78450835e+01f, 4.01970005e+01f, 4.27248599e+01f, 4.54438126e+01f, 4.83704762e+01f, 5.15230921e+01f, 5.49217006e+01f, 5.85883374e+01f, 6.25472527e+01f, 6.68251567e+01f, 7.14514957e+01f, 7.64587609e+01f, 8.18828353e+01f, 8.77633847e+01f, 9.41442967e+01f, 1.01074176e+02f, 1.08606902e+02f, 1.16802259e+02f, 1.25726650e+02f, 1.35453899e+02f, 1.46066166e+02f, 1.57654979e+02f, 1.70322410e+02f, 1.84182406e+02f, 1.99362306e+02f, 2.16004568e+02f, 2.34268740e+02f, 2.54333703e+02f, 2.76400239e+02f, 3.00693971e+02f, 3.27468728e+02f, 3.57010397e+02f, 3.89641362e+02f, 4.25725590e+02f, 4.65674502e+02f, 5.09953726e+02f, 5.59090900e+02f, 6.13684688e+02f, 6.74415211e+02f, 7.42056139e+02f, 8.17488717e+02f, 9.01718069e+02f, 9.95892168e+02f, 1.10132394e+03f, 1.21951707e+03f, 1.35219615e+03f, 1.50134197e+03f, 1.66923291e+03f, 1.85849349e+03f, 2.07215152e+03f, 2.31370536e+03f, 2.58720328e+03f, 2.89733724e+03f, 3.24955383e+03f, 3.65018587e+03f, 4.10660860e+03f, 4.62742547e+03f, 5.22268956e+03f, 5.90416786e+03f, 6.68565726e+03f, 7.58336313e+03f, 8.61635357e+03f, 9.80710572e+03f, 1.11821637e+04f, 1.27729327e+04f, 1.46166396e+04f, 1.67574960e+04f, 1.92481112e+04f, 2.21512104e+04f, 2.55417295e+04f, 2.95093735e+04f, 3.41617487e+04f, 3.96282043e+04f, 4.60645561e+04f, 5.36589049e+04f, 6.26388223e+04f, 7.32802431e+04f, 8.59184957e+04f, 1.00962017e+05f, 1.18909442e+05f, 1.40370957e+05f, 1.66095034e+05f, 1.97001996e+05f, 2.34226253e+05f, 2.79169596e+05f, 3.33568603e+05f, 3.99580125e+05f, 4.79889989e+05f, 5.77851588e+05f, 6.97663062e+05f, 8.44594440e+05f, 1.02527965e+06f, 1.24809298e+06f, 1.52363581e+06f, 1.86536786e+06f, 2.29042802e+06f, 2.82070529e+06f, 3.48424008e+06f, 4.31706343e+06f, 5.36561882e+06f, 6.68996113e+06f, 8.36799594e+06f, 1.05011160e+07f, 1.32217203e+07f, 1.67032788e+07f, 2.11738506e+07f, 2.69343047e+07f, 3.43829654e+07f, 4.40490690e+07f, 5.66383460e+07f, 7.30953564e+07f, 9.46890531e+07f, 1.23130681e+08f, 1.60736861e+08f, 2.10656057e+08f, 2.77184338e+08f, 3.66207397e+08f, 4.85821891e+08f, 6.47212479e+08f, 8.65895044e+08f, 1.16348659e+09f, 1.57023596e+09f, 2.12865840e+09f, 2.89877917e+09f, 3.96573294e+09f, 5.45082863e+09f, 7.52773593e+09f, 1.04462776e+10f, 1.45675716e+10f, 2.04161928e+10f, 2.87579864e+10f, 4.07167363e+10f, 5.79499965e+10f, 8.29154750e+10f, 1.19276754e+11f, 1.72524570e+11f, 2.50933409e+11f, 3.67042596e+11f, 5.39962441e+11f, 7.98985690e+11f, 1.18927611e+12f, 1.78088199e+12f, 2.68310388e+12f, 4.06753710e+12f, 6.20525592e+12f, 9.52719664e+12f, 1.47228407e+13f, 2.29025392e+13f, 3.58662837e+13f, 5.65517100e+13f, 8.97859411e+13f, 1.43556057e+14f, 2.31171020e+14f, 3.74966777e+14f, 6.12702071e+14f, 1.00868013e+15f, 1.67323268e+15f, 2.79711270e+15f, 4.71267150e+15f, 8.00353033e+15f, 1.37027503e+16f, 2.36538022e+16f, 4.11734705e+16f, 7.22793757e+16f, 1.27982244e+17f, 2.28603237e+17f, 4.11976277e+17f, 7.49169358e+17f, 1.37488861e+18f, 2.54681529e+18f, 4.76248383e+18f, 8.99167123e+18f, 1.71428840e+19f, 3.30088717e+19f, 6.42020070e+19f, 1.26155602e+20f, 2.50480806e+20f, 5.02601059e+20f, 1.01935525e+21f, }, }; #ifndef BOOST_MATH_NO_ATOMIC_INT m_committed_refinements = static_cast<boost::math::detail::atomic_unsigned_integer_type>(m_weights.size() - 1); #else m_committed_refinements = m_weights.size() - 1; #endif m_t_min = -4.18750000f; if (m_max_refinements >= m_abscissas.size()) { m_abscissas.resize(m_max_refinements + 1); m_weights.resize(m_max_refinements + 1); } else { m_max_refinements = m_abscissas.size() - 1; } } template<class Real, class Policy> void exp_sinh_detail<Real, Policy>::init(const mpl::int_<2>&) { m_abscissas = { { 7.241670621354483269e-163, 2.257639733856759198e-60, 1.153241619257215165e-22, 8.747691973876861825e-09, 1.173446923800022477e-03, 1.032756936219208144e-01, 7.719261204224504866e-01, 4.355544675823585545e+00, 1.215101039066652656e+02, 6.228845436711506169e+05, 6.278613977336989392e+15, 9.127414935180233465e+42, 6.091127771174027909e+116, }, { 4.547459836328942014e-99, 6.678756542928857080e-37, 5.005042973041566360e-14, 1.341318484151208960e-05, 1.833875636365939263e-02, 3.257972971286326131e-01, 1.712014688483495078e+00, 1.613222549264089627e+01, 3.116246745274236447e+03, 3.751603952020919663e+09, 1.132259067258797346e+26, 6.799257464097374238e+70, }, { 5.314690663257815465e-127, 2.579830034615362946e-77, 3.534801062399966878e-47, 6.733941646704537777e-29, 8.265803726974829043e-18, 4.424914371157762285e-11, 5.390411046738629465e-07, 1.649389713333761449e-04, 5.463728936866216652e-03, 4.787896410534771955e-02, 1.931544616590306846e-01, 5.121421856617965197e-01, 1.144715949265016019e+00, 2.648424684387670480e+00, 7.856804169938798917e+00, 3.944731803343517708e+01, 5.060291993016831194e+02, 3.181117494063683297e+04, 2.820174654949211729e+07, 1.993745099515255184e+12, 1.943469269499068563e+20, 2.858803732300638372e+33, 1.457292199029008637e+55, 8.943565831706355607e+90, 9.016198369791554655e+149, }, { 8.165631636299519857e-144, 3.658949309353149331e-112, 1.635242513882908826e-87, 2.578381184977746454e-68, 2.305546416275824199e-53, 1.016725540031465162e-41, 1.191823622917539774e-32, 1.379018088205016509e-25, 4.375640088826073184e-20, 8.438464631330991606e-16, 1.838483310261119782e-12, 7.334264181393092650e-10, 7.804740587931068021e-08, 2.970395577741681504e-06, 5.081805431666579484e-05, 4.671401627620431498e-04, 2.652347404231090523e-03, 1.037409202661683856e-02, 3.045225582205323946e-02, 7.178280364982721201e-02, 1.434001065841990688e-01, 2.535640852949085796e-01, 4.113268917643175920e-01, 6.310260805648534613e-01, 9.404706503455087817e-01, 1.396267301972783068e+00, 2.116896928689963277e+00, 3.364289290471596568e+00, 5.770183960005836987e+00, 1.104863531218761752e+01, 2.460224479439805859e+01, 6.699316387888639988e+01, 2.375794092475844708e+02, 1.188092202760116066e+03, 9.269848635975416108e+03, 1.283900116155671304e+05, 3.723397798030112514e+06, 2.793667983952389721e+08, 7.112973790863854188e+10, 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1.773954352944319744e+106, 7.788991081894224760e+107, 3.628931721056821352e+109, 1.795729272516020592e+111, 9.446685151482835339e+112, 5.288263179614488101e+114, 3.153311236741401362e+116, 2.004807079683827669e+118, 1.360407192665237716e+120, 9.862825609807810517e+121, 7.647551788591128099e+123, 6.348802224871730088e+125, 5.649062361980019098e+127, 5.393248003523784781e+129, 5.530897191915703916e+131, 6.099598644640894333e+133, 7.242098433491964504e+135, 9.268083053637375570e+137, 1.279942702416040582e+140, 1.909796626960621302e+142, 3.082540300669885040e+144, 5.388809732384179657e+146, 1.021610251056626535e+149, 2.103005440072790650e+151, 4.706753990348725570e+153, 1.146834128125248991e+156, }, }; #ifndef BOOST_MATH_NO_ATOMIC_INT m_committed_refinements = static_cast<boost::math::detail::atomic_unsigned_integer_type>(m_weights.size() - 1); #else m_committed_refinements = m_weights.size() - 1; #endif m_t_min = -6.164062500000000000; if (m_max_refinements >= m_abscissas.size()) { m_abscissas.resize(m_max_refinements + 1); m_weights.resize(m_max_refinements + 1); } else { m_max_refinements = m_abscissas.size() - 1; } } #if LDBL_MAX_EXP == 16384 template<class Real, class Policy> void exp_sinh_detail<Real, Policy>::init(const mpl::int_<3>&) { m_abscissas = { { 1.02756529896290544244959196973059583e-2497L, 2.56737528671961581475200468317128232e-919L, 1.17417808941462434184174780056564573e-338L, 4.82182886130634548471358754377036370e-125L, 1.85613301660646818149136526457281019e-46L, 1.52174118093087534300657777272732001e-17L, 6.75122240537294392532710530940672267e-07L, 5.94481311616464419075825632567494453e-03L, 2.00100938779037997581424620542543429e-01L, 1.17328605653712546899681147538372171e+00L, 8.18356490677287285512063117929807241e+00L, 5.59865842621965368881982340891928481e+02L, 3.69902944883650290371636082450503730e+07L, 4.05747121124517088709477132072461878e+20L, 1.07723884748977308147226626407207905e+56L, 2.07250561337258237728923403163755392e+152L, 1.09889904624000153879292638133263171e+414L, 3.02463014753652876878705286965250144e+1125L, }, { 3.16339947894004847541521297710937343e-1515L, 7.02786763812753004271170107158747593e-558L, 1.08465499866859733494552744914276656e-205L, 3.97220624097731753646493300738183748e-76L, 1.84145280968701148636501796762008815e-28L, 6.40886341101610144938011594904313817e-11L, 1.89200275395722467663251234615351291e-04L, 5.04892743776943294143478969573235061e-02L, 5.25946553709738448524487603870477588e-01L, 2.72635049439566736308739858009584752e+00L, 4.20081657572145199006060015525396829e+01L, 3.75221714819472331206969009243353365e+04L, 3.11642465424592079726559332629050577e+12L, 9.61947229245436139236957297153092319e+33L, 2.42007357898805628851519620917402234e+92L, 1.34351470989086331111432001407522043e+251L, 4.34937560839564995558174638985438726e+682L, 4.01820305474077838467315109614612109e+1855L, }, { 2.20630426387562582340901270736066292e-1945L, 3.20902289525796097195876526710905754e-1180L, 3.99075419312896749376535004306952481e-716L, 1.22680463935505388461578092999320797e-434L, 6.60416836081631149205027836695167940e-264L, 2.36380363265905808053031227647927829e-160L, 1.52216180146092756550894692311532796e-97L, 1.89865679919908959317123677189779258e-59L, 2.43020115474101871630434504433731237e-36L, 2.52466874690605714759066961852641028e-22L, 8.05169965363444223580324196979926112e-14L, 1.16754399126294292055540155961164512e-08L, 1.59887725419859990767684898940272339e-05L, 1.30653650105064376247657363109776765e-03L, 1.96025435814529675467866513121889090e-02L, 1.07798510399525035644857486110150806e-01L, 3.35726506001932774135392168623644982e-01L, 7.91344191300036661743190713036639943e-01L, 1.75712551051579342077493249233109834e+00L, 4.50532922519182663928094313196688277e+00L, 1.69634912879730950991827009814964854e+01L, 1.31564914034011933527149556208430823e+02L, 3.54551665937177335700906931219692079e+03L, 7.69629182688413474235641078406238234e+05L, 5.31334781541946297455601223275400364e+09L, 1.11397125403497802554344014693570895e+16L, 2.91323342059626628322620905024841007e+26L, 4.33470414741675827465254900104887599e+43L, 8.87077939346041258291094819287939414e+71L, 4.20552510572288598564618972079522209e+118L, 3.78998758665619810759092788424597102e+195L, 2.85285821381079277498378752581228807e+322L, 4.35767992687500025738868152293904617e+531L, 3.35101732969916400190150631384628168e+876L, 1.39907636805339624393396738787997778e+1445L, 4.39310839133852761600954729262867435e+2382L, }, { 2.60416027838200926634868701489352534e-2204L, 7.02786036162213986704884019362612079e-1717L, 2.87472449554862557122883045361480216e-1337L, 1.26052689335617094297502885256721406e-1041L, 2.22203737723769125613395083355625930e-811L, 4.59925691253299141912321586723335574e-632L, 2.06110387430222811031505778840893135e-492L, 1.18783333719310840737835079091916047e-383L, 5.99339963191580129696690680497340117e-299L, 5.55156577871295836646608994333019205e-233L, 1.31650343182343962237291034126486362e-181L, 1.35017224106781623208439493207058713e-141L, 1.95458267270042896122641878745090637e-110L, 3.62345406499123808121116200173051239e-86L, 2.87916036185197771976746396107338099e-67L, 1.50975853574758038650941626753584613e-52L, 4.39366381209590686916061999351406334e-41L, 3.72613279781933265810269222029431206e-32L, 3.35074541708050784063416140930256908e-25L, 8.73699691100611067810340427391712629e-20L, 1.44610938754441658588026566732900630e-15L, 2.79712542830915646153531586097835651e-12L, 1.01712318476608889609455916646557919e-09L, 1.00707686902351812525332969334486408e-07L, 3.62377064535647765957086044101238700e-06L, 5.93514765312557852887858990273347709e-05L, 5.27427922038425038994892508697801291e-04L, 2.91716284057748187538183216214780172e-03L, 1.11812753052373081344852811278990196e-02L, 3.23158910999791296389217134204252891e-02L, 7.52823576293971217140453145701166400e-02L, 1.49072381771447883955117212578891471e-01L, 2.61920116954195648982059938116700281e-01L, 4.23044722849733503488984642521144095e-01L, 6.47337815325830827783598163922905049e-01L, 9.63850663681748439752705317539095691e-01L, 1.43180513983798487645924505146418541e+00L, 2.17546288127550398262362304432746644e+00L, 3.47077553215380191942193887548951574e+00L, 5.98762125926090985873603940556086485e+00L, 1.15588346593765285104362265791852722e+01L, 2.60227165873113109321939526707132515e+01L, 7.18972764924010846908346544069757730e+01L, 2.59849827899514040038730358528910272e+02L, 1.33180383652908565595482681440747426e+03L, 1.07264199927746293597346233164919561e+04L, 1.54770252854197591129695964624494039e+05L, 4.73116974059692035499030617203501902e+06L, 3.79850299532978550624970142683299187e+08L, 1.05506900281875210383901752883017567e+11L, 1.44377693764054834189876938092028936e+14L, 1.53216987231286586179401429003390945e+18L, 2.25749845424265693444972830430363021e+23L, 9.75366126404791278425650801377275643e+29L, 3.22710662318561074542283240061745423e+38L, 2.80427989450823486864584373674252213e+49L, 3.11492865697270427645920832671970699e+63L, 3.37385880956075754428852062324609716e+81L, 4.84069913749095116306098688426537434e+104L, 2.62206965911556490036221731139595538e+134L, 3.95724512624896651389226023882699109e+172L, 4.16658233419696139622872515762144259e+221L, 3.67870997815873300310505495683155714e+284L, 2.45353561048417937411865685638919263e+365L, 1.47890836767899626666102902312593029e+469L, 2.66842264577698782467085710268227542e+602L, 3.39406520823137428862537121090858482e+773L, 1.71072929388916771882465310676448508e+993L, 2.17124413154098944294625847065193945e+1275L, 3.67108839134079465802181460380664133e+1637L, 4.72992162468569560939225829187204387e+2102L, }, { 1.98007625288857013412122004727810624e-2346L, 8.39652992194258659266745309526472882e-2071L, 1.46030671151231956105710426802408027e-1827L, 6.65727248909208458885310717390128801e-1613L, 1.81581117219394388092797723844111009e-1423L, 2.72619674739250219990613941747932927e-1256L, 9.29590026994488020433315206443278096e-1109L, 1.46377917106366800430984793284730939e-978L, 1.15901956513202291149840314964756250e-863L, 2.89578802021929239619753606490350524e-762L, 8.80858736107764685086031513644364894e-673L, 8.19416690740938676449696497280686335e-594L, 4.00916745706227520865721440095991259e-524L, 1.27020033549323657895766092175564312e-462L, 2.38869695900235565316537719061693975e-408L, 1.88391475973801739487501436111488490e-360L, 3.49894275509125434733587030489899389e-318L, 7.01615886164307390146523314851863544e-281L, 5.82310443050787035609701710903434681e-248L, 6.54836166711216765944679142249433382e-219L, 2.84149263299034989667159925017962142e-193L, 1.19812648186130338854458247959762818e-170L, 1.10911490518050678588403791608480488e-150L, 4.62754597695358582538782054737574180e-133L, 1.64173210211161942076907089038989838e-117L, 8.67192889174269982709959745767681981e-104L, 1.11812225550444523531457194417899189e-91L, 5.44369950217028498211921027217139012e-81L, 1.47074883585505403248443957516006445e-71L, 3.09730398495823549037183157408809652e-63L, 6.86204181060118439675162432029019608e-56L, 2.08386500906124109876681630886775453e-49L, 1.09560045982532469724721792988430545e-43L, 1.22547627904244500951228300724497066e-38L, 3.49796660995417261286766404577301528e-34L, 2.99152410870631960427539566799345990e-30L, 8.83190101026086766963628794276374683e-27L, 1.01998228741819737621697177531967545e-23L, 5.14543767526486873178240241354085638e-21L, 1.24976972746216000788747786633668576e-18L, 1.59270820536117731616569419326771375e-16L, 1.14889208313232540746001768184091876e-14L, 5.01568630936388404881919116817433643e-13L, 1.40588174426346693556351457090253957e-11L, 2.66552656620728447371725338328298653e-10L, 3.57952342849715748848195322266581664e-09L, 3.54587967892367612935335788099896843e-08L, 2.68571894340447967655761437829800783e-07L, 1.60543396069231405992036918112042239e-06L, 7.78876789102767893920047052886009844e-06L, 3.14354940320849664611373818938001854e-05L, 1.07876626606295756489869617036039985e-04L, 3.20898851002890606916875803454736038e-04L, 8.41685517064122028463642895198591848e-04L, 1.97617054782608049591289962378898411e-03L, 4.20911897696440311235672067499450921e-03L, 8.22976828962407304914730770011736102e-03L, 1.49268961502975158975071505963565168e-02L, 2.53502658698472066372315325797964553e-02L, 4.06466974195663810865864410951160977e-02L, 6.19877276359776967830177840166714717e-02L, 9.05089155125712182450563511209635860e-02L, 1.27278213682114666289711516555196299e-01L, 1.73304699976842406023992088378438619e-01L, 2.29592410233034978491448000870038137e-01L, 2.97239599113018852567831136709176961e-01L, 3.77582948042641879160927817217899876e-01L, 4.72389555885863401785327685882008067e-01L, 5.84107138056041651067826639644019633e-01L, 7.16195243265456514286143145222900703e-01L, 8.73579162273458922635006193850777630e-01L, 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1.22311399177140229476034440208616729e+2295L, 1.50662485913882109231872682750679813e+2331L, 6.86720031172136555587682118613084257e+2367L, 1.18233110675109495729851537371527994e+2405L, 7.85186218386652904615339091354671418e+2442L, }, }; #ifndef BOOST_MATH_NO_ATOMIC_INT m_committed_refinements = static_cast<boost::math::detail::atomic_unsigned_integer_type>(m_weights.size() - 1); #else m_committed_refinements = m_weights.size() - 1; #endif m_t_min = -8.8984375000000L; if (m_max_refinements >= m_abscissas.size()) { m_abscissas.resize(m_max_refinements + 1); m_weights.resize(m_max_refinements + 1); } else { m_max_refinements = m_abscissas.size() - 1; } } #endif #ifdef BOOST_HAS_FLOAT128 template<class Real, class Policy> void exp_sinh_detail<Real, Policy>::init(const mpl::int_<4>&) { m_abscissas = { { 2.239451308457907276646263599248028318747e-2543Q, 4.087883914826209167187520163938786544603e-936Q, 7.764136408896555253208502557716060646316e-345Q, 2.569416154701911093162209102345213640613e-127Q, 2.705458070464053854934121429341356913371e-47Q, 7.491188348021113917760090371440516887521e-18Q, 5.198294603582515693057809058359470253018e-07Q, 0.005389922804577577496651910020276229582764Q, 0.1920600417448513371971708155403009636026Q, 1.140219687292143805081229623729334820659Q, 7.806184141505854070922571674663437423603Q, 497.9910059199034049204308876883447088185Q, 27016042.73379639480428530637021605662451Q, 172966369043668599418.5877957471751383371Q, 1.061675373362961296862509492541522509127e+55Q, 3.811736521949348274993846910907815663725e+149Q, 4.031589783270233530756613072386084762687e+406Q, 1.857591496578858801010210685679553673527e+1105Q, }, { 6.38192460297577997296130116084380488004e-1543Q, 4.553284218142424152191512347101108073691e-568Q, 1.937062162895195937060002998269756423851e-209Q, 1.660126625033739077374114876720390220712e-77Q, 5.725718222547734673080418904622339594753e-29Q, 4.168381624810496871907721134250128161942e-11Q, 0.0001613301975005046953323705477328478299103Q, 0.0474713399587676291203429066086137662056Q, 0.5099627601758401314316521881645115690603Q, 2.636240582466121690921186199130019570689Q, 39.05613529229837860979125052359555007623Q, 30990.22477506600812220045610450185310364Q, 1857609984963.014390268032888333743476748Q, 2359106700485891760372588191034580.237445Q, 5.305502438164240038024865289303441329929e+90Q, 4.153264547632969989660655052675878016131e+246Q, 2.39549808558050342461418974153843135261e+670Q, 1.907821628968714220362207148967088886146e+1822Q, }, { 6.057903324174675880054786918700573277193e-1981Q, 8.656190904067090962653034260124195755274e-1202Q, 3.301911576596318022491539142850442018161e-729Q, 1.425485029898429297758878823810205941516e-442Q, 1.016496544573331920304016689793414356743e-268Q, 2.848036810989534605128535426330975462895e-163Q, 2.581928872313165828368701686010678577144e-99Q, 1.601590227152633400640250804848713890905e-60Q, 5.423190544363659530944338243992687682219e-37Q, 1.016381761828840448285257216929561921503e-22Q, 4.635725075794601084424604353869125707077e-14Q, 8.3498615886950739967156481568160331201e-09Q, 1.303868885475613415062833232828648525669e-05Q, 0.001153300807253218344728159062725073079949Q, 0.01814288911244882236930497812936819917973Q, 0.1025656071886267491128524112054469619388Q, 0.3242301173345578897587341005053281543043Q, 0.7688636442387784234265303257286061242944Q, 1.704936145319479582718350104944998619577Q, 4.332223509891009397137256165478273534279Q, 16.00424777396788542203662195209964219854Q, 119.9894477197320344196270723637925628186Q, 3053.206094606356294417950881488718170062Q, 602365.2553559583292243897621777047334194Q, 3550455773.201059364690484967711333425091Q, 5733723619916794.008354021149856937812556Q, 97490164875869638451560588.97182161070984Q, 7.132097466952214251618865223622602893458e+42Q, 4.527309308592487932893086561010303870042e+70Q, 3.115319987396348432317683626917454615693e+116Q, 1.165082263946878699920850154957972424971e+192Q, 4.61868993445541953416660351754288757642e+316Q, 1.235693446874006572643670815583618997533e+522Q, 6.085142451732094001360716852852249745666e+860Q, 1.561268268167538223129534325473369675815e+1419Q, 7.15416720524977809484490807341332912337e+2339Q, }, { 1.316397640984446973307154953464589633275e-2244Q, 2.91103714441677346374884778987181929964e-1748Q, 1.041515112823364264288004198932170597134e-1361Q, 1.163952866111770553035180609992941917098e-1060Q, 3.331010008037941781256743115855292034324e-826Q, 1.311012824977050544924978303237678019851e-643Q, 2.102714428828884821953890862683078649826e-501Q, 1.181154283940326231672292577754503055478e-390Q, 2.109394497146605580650701202262455040085e-304Q, 3.142026651033038465813811858591067955951e-237Q, 6.481721750272378322539690406725748230209e-185Q, 3.583598691717140876356841025821167196821e-144Q, 1.92664353411734602269656833786034601971e-112Q, 9.922976982058019429687317584840590274898e-88Q, 1.74739966510164583390419990770953521763e-68Q, 1.70290143918426077776224230568679054616e-53Q, 8.030136878691961276301034231071221582072e-42Q, 9.917365028053524354476145352392235487451e-33Q, 1.195101660603996715429218637550950454647e-25Q, 3.914005753291886226833591030642884022779e-20Q, 7.736530260670029404731999770065344717989e-16Q, 1.718208187412490487060798651160186368903e-12Q, 6.957606467986766668781610852908826758303e-10Q, 7.490494532575157167666978009034915042833e-08Q, 2.876694179706214244895454007509365858007e-06Q, 4.95621623915248246930633393189624651192e-05Q, 0.0004580885614011081480136084266758386238991Q, 0.002611973650987327972015238352563580017097Q, 0.01024958074171405301707965287545674192198Q, 0.03016224300141855969532721437631887510999Q, 0.07123470770339354612512733126593011802245Q, 0.1425077997714610113981393440866519718873Q, 0.2522461348260661654197754128666648295859Q, 0.4094768120120717375909393632502588445701Q, 0.6284517616579117758312487536756803604881Q, 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1.15869387156744556281317453901581151608e+80Q, 6.381237955604791946525597400340497294869e+102Q, 1.010840568769200528470714372039635841864e+132Q, 3.146392870507528140666504475776071670543e+169Q, 4.36361765578710599110918832751720492273e+217Q, 2.853414836089672424680428668400813268807e+279Q, 6.729793209488189821208480033926845423686e+358Q, 5.551856590995612599330193819104783525931e+460Q, 4.052255999971348848790422668447727946207e+591Q, 4.359321017798455720139540978196326313327e+759Q, 2.491143253847753891477290704847758735118e+975Q, 2.715360792058091922045750051250504657e+1252Q, 1.435205921116767351962933143664802808424e+1608Q, 8.210855869756939741458957539090139842153e+2064Q, }, { 2.5206619423030582050540170122224114428e-2389Q, 1.172863116157072894734245940044946298728e-2108Q, 5.723395259249713010169313313952092349583e-1861Q, 2.197389499531280825740095933047095895838e-1642Q, 1.745161518126606205352284095182052308004e-1449Q, 2.988322581168499697535468502285209728217e-1279Q, 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}; #ifndef BOOST_MATH_NO_ATOMIC_INT m_committed_refinements = static_cast<boost::math::detail::atomic_unsigned_integer_type>(m_weights.size() - 1); #else m_committed_refinements = m_weights.size() - 1; #endif m_t_min = -8.916559006047578828258918121202852111589Q; if (m_max_refinements >= m_abscissas.size()) { m_abscissas.resize(m_max_refinements + 1); m_weights.resize(m_max_refinements + 1); } else { m_max_refinements = m_abscissas.size() - 1; } /* std::cout << std::setprecision(35) << m_t_min << std::endl; for (unsigned i = 0; i < m_abscissas[0].size(); ++i) std::cout << m_abscissas[0][i] << ", "; std::cout << std::endl; for (unsigned i = 0; i < m_abscissas[0].size(); ++i) std::cout << m_weights[0][i] << ", "; std::cout << std::endl; */ } #endif } } } } #endif