libcarla/include/system/boost/math/quadrature/detail/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/math/tools/config.hpp>

#ifdef BOOST_HAS_THREADS
#include <mutex>
#endif

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
   {
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
      if (m_committed_refinements.load() < n)
         extend_refinements();
      BOOST_MATH_ASSERT(m_committed_refinements.load() >= n);
#else
      if (m_committed_refinements < n)
         extend_refinements();
      BOOST_MATH_ASSERT(m_committed_refinements >= n);
#endif
      return m_abscissas[n];
   }
   const std::vector<Real>& get_weight_row(std::size_t n)const
   {
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
      if (m_committed_refinements.load() < n)
         extend_refinements();
      BOOST_MATH_ASSERT(m_committed_refinements.load() >= n);
#else
      if (m_committed_refinements < n)
         extend_refinements();
      BOOST_MATH_ASSERT(m_committed_refinements >= n);
#endif
      return m_weights[n];
   }
   void init(const std::integral_constant<int, 0>&);
   void init(const std::integral_constant<int, 1>&);
   void init(const std::integral_constant<int, 2>&);
   void init(const std::integral_constant<int, 3>&);
#ifdef BOOST_HAS_FLOAT128
   void init(const std::integral_constant<int, 4>&);
#endif

   void extend_refinements()const
   {
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
      std::lock_guard<std::mutex> guard(m_mutex);
#endif
      //
      // Check some other thread hasn't got here after we read the atomic variable, but before we got here:
      //
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
      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(static_cast<Real>(1), -static_cast<int>(row));
      const Real t_max = m_t_min + m_abscissas[0].size() - 1;

      size_t k = static_cast<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;
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
    mutable boost::math::detail::atomic_unsigned_type      m_committed_refinements;
    mutable std::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(std::integral_constant<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(static_cast<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:
    Real min_abscissa{ 0 }, max_abscissa{ boost::math::tools::max_value<Real>() };
    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]);
        K I0_last = I0;
        I0 += y*m_weights[0][i];
        L1_I0 += abs(y)*m_weights[0][i];
        if ((I0_last == I0) && (abs(I0) != 0))
        {
           max_abscissa = m_abscissas[0][i];
           break;
        }
    }

    //std::cout << "First estimate : " << I0 << std::endl;
    K I1 = I0;
    Real L1_I1 = L1_I0;
    bool have_first_j = false;
    std::size_t first_j = 0;
    for (size_t i = 0; (i < m_abscissas[1].size()) && (m_abscissas[1][i] < max_abscissa); ++i)
    {
        K y = f(m_abscissas[1][i]);
        K I1_last = I1;
        I1 += y*m_weights[1][i];
        L1_I1 += abs(y)*m_weights[1][i];
        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;
        }
        else
           have_first_j = true;
    }

    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 = static_cast<Real>(1)/static_cast<Real>(1 << i);
        K sum = 0;
        Real absum = 0;

        auto abscissas_row = get_abscissa_row(i);
        auto weight_row = get_weight_row(i);

        first_j = first_j == 0 ? 0 : 2 * first_j - 1;  // appoximate location to start looking for lowest meaningful abscissa value
        Real abterm1 = 1;
        std::size_t j = first_j;
        while (abscissas_row[j] < min_abscissa)
           ++j;
        for(; (j < m_weights[i].size()) && (abscissas_row[j] < max_abscissa); ++j)
        {
            Real x = abscissas_row[j];
            K y = f(x);
            sum += y*weight_row[j];
            Real abterm0 = abs(y)*weight_row[j];
            absum += abterm0;
            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 std::integral_constant<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 = static_cast<Real>(1) / static_cast<Real>(1 << i);
      size_t k = static_cast<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 std::integral_constant<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, },
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      { 3.88541434e-20f, 1.03646493e-17f, 1.41388360e-15f, 1.06725054e-13f, 4.77908002e-12f, 1.34999345e-10f, 2.53970414e-09f, 3.33804787e-08f, 3.19755978e-07f, 2.31724882e-06f, 1.31302324e-05f, 5.98917639e-05f, 2.25650360e-04f, 7.18397083e-04f, 1.97196929e-03f, 4.75106406e-03f, 1.02072514e-02f, 1.98317011e-02f, 3.52844239e-02f, 5.81350403e-02f, 8.95955146e-02f, 1.30335749e-01f, 1.80445384e-01f, 2.39557131e-01f, 3.07102681e-01f, 3.82648608e-01f, 4.66260909e-01f, 5.58867257e-01f, 6.62616429e-01f, 7.81267733e-01f, 9.20677638e-01f, 1.08949034e+00f, 1.30019425e+00f, 1.57079633e+00f, 1.92752387e+00f, 2.40924883e+00f, 3.07485695e+00f, 4.01578082e+00f, 5.37784753e+00f, 7.40045071e+00f, 1.04890228e+01f, 1.53538346e+01f, 2.32861156e+01f, 3.67307348e+01f, 6.05296516e+01f, 1.04761593e+02f, 1.91598840e+02f, 3.72918009e+02f, 7.78738763e+02f, 1.76101294e+03f, 4.35837629e+03f, 1.19484066e+04f, 3.67841605e+04f, 1.29157756e+05f, 5.26424122e+05f, 2.54082527e+06f, 1.48545930e+07f, 1.07925566e+08f, 1.00317513e+09f, 1.23283860e+10f, 2.07922173e+11f, 5.01997049e+12f, 1.82006578e+14f, 1.04617001e+16f, 1.01373023e+18f, 1.77530238e+20f, },
      { 8.56958007e-21f, 1.68000718e-19f, 2.74008750e-18f, 3.75978801e-17f, 4.38589881e-16f, 4.39263787e-15f, 3.81223973e-14f, 2.89198757e-13f, 1.93338859e-12f, 1.14783389e-11f, 6.09544349e-11f, 2.91499607e-10f, 1.26339559e-09f, 4.99234840e-09f, 1.80872790e-08f, 6.03998541e-08f, 1.86829770e-07f, 5.37807971e-07f, 1.44704121e-06f, 3.65421571e-06f, 8.69454276e-06f, 1.95621880e-05f, 4.17628758e-05f, 8.48713297e-05f, 1.64680159e-04f, 3.05960283e-04f, 5.45748909e-04f, 9.36950301e-04f, 1.55189915e-03f, 2.48542560e-03f, 3.85690505e-03f, 5.81079770e-03f, 8.51529070e-03f, 1.21588421e-02f, 1.69446644e-02f, 2.30834400e-02f, 3.07847946e-02f, 4.02482241e-02f, 5.16542634e-02f, 6.51566792e-02f, 8.08763802e-02f, 9.88975757e-02f, 1.19266512e-01f, 1.41992893e-01f, 1.67053901e-01f, 1.94400532e-01f, 2.23965873e-01f, 2.55674859e-01f, 2.89455038e-01f, 3.25247905e-01f, 3.63020457e-01f, 4.02776696e-01f, 4.44568958e-01f, 4.88509042e-01f, 5.34779290e-01f, 5.83643845e-01f, 6.35460497e-01f, 6.90693630e-01f, 7.49928915e-01f, 8.13890578e-01f, 8.83462209e-01f, 9.59712352e-01f, 1.04392634e+00f, 1.13764623e+00f, 1.24272128e+00f, 1.36137177e+00f, 1.49627028e+00f, 1.65064527e+00f, 1.82841374e+00f, 2.03435175e+00f, 2.27431458e+00f, 2.55552245e+00f, 2.88693336e+00f, 3.27973254e+00f, 3.74797919e+00f, 4.30946679e+00f, 4.98687594e+00f, 5.80933099e+00f, 6.81451887e+00f, 8.05159726e+00f, 9.58522167e+00f, 1.15011733e+01f, 1.39143002e+01f, 1.69798351e+01f, 2.09096993e+01f, 2.59962450e+01f, 3.26472377e+01f, 4.14380231e+01f, 5.31903193e+01f, 6.90928164e+01f, 9.08883744e+01f, 1.21168895e+02f, 1.63847041e+02f, 2.24923217e+02f, 3.13754154e+02f, 4.45189215e+02f, 6.43236850e+02f, 9.47484116e+02f, 1.42457583e+03f, 2.18920236e+03f, 3.44338342e+03f, 5.55184130e+03f, 9.19045432e+03f, 1.56468513e+04f, 2.74471462e+04f, 4.97037777e+04f, 9.31107740e+04f, 1.80835335e+05f, 3.64968793e+05f, 7.67360053e+05f, 1.68525439e+06f, 3.87686515e+06f, 9.37022570e+06f, 2.38705733e+07f, 6.43128750e+07f, 1.83920179e+08f, 5.60444636e+08f, 1.82722217e+09f, 6.40182180e+09f, 2.42153053e+10f, 9.93804949e+10f, 4.44863150e+11f, 2.18425069e+12f, 1.18337660e+13f, 7.11948688e+13f, 4.78870731e+14f, 3.62710215e+15f, 3.11747341e+16f, 3.06542975e+17f, 3.47854955e+18f, 4.59768243e+19f, 7.14806140e+20f, },
      { 3.95175890e-21f, 1.83575349e-20f, 8.12661397e-20f, 3.43336935e-19f, 1.38634563e-18f, 5.35757029e-18f, 1.98424944e-17f, 7.05221126e-17f, 2.40827550e-16f, 7.91175869e-16f, 2.50347754e-15f, 7.63871031e-15f, 2.25003103e-14f, 6.40502166e-14f, 1.76389749e-13f, 4.70424252e-13f, 1.21618334e-12f, 3.05082685e-12f, 7.43273471e-12f, 1.76028616e-11f, 4.05602375e-11f, 9.10055013e-11f, 1.98994391e-10f, 4.24390078e-10f, 8.83436580e-10f, 1.79636925e-09f, 3.57059250e-09f, 6.94247187e-09f, 1.32133371e-08f, 2.46332536e-08f, 4.50110843e-08f, 8.06630537e-08f, 1.41856144e-07f, 2.44958654e-07f, 4.15579069e-07f, 6.93056106e-07f, 1.13675616e-06f, 1.83473665e-06f, 2.91544023e-06f, 4.56318858e-06f, 7.03833675e-06f, 1.07030190e-05f, 1.60534529e-05f, 2.37597559e-05f, 3.47141604e-05f, 5.00883685e-05f, 7.14005734e-05f, 1.00592372e-04f, 1.40115414e-04f, 1.93027181e-04f, 2.63094779e-04f, 3.54905080e-04f, 4.73978972e-04f, 6.26886955e-04f, 8.21362793e-04f, 1.06641153e-03f, 1.37240787e-03f, 1.75118071e-03f, 2.21607971e-03f, 2.78201983e-03f, 3.46550010e-03f, 4.28459361e-03f, 5.25890609e-03f, 6.40950150e-03f, 7.75879384e-03f, 9.33040551e-03f, 1.11489935e-02f, 1.32400455e-02f, 1.56296499e-02f, 1.83442433e-02f, 2.14103400e-02f, 2.48542509e-02f, 2.87017958e-02f, 3.29780164e-02f, 3.77068968e-02f, 4.29110964e-02f, 4.86117029e-02f, 5.48280093e-02f, 6.15773214e-02f, 6.88747982e-02f, 7.67333308e-02f, 8.51634602e-02f, 9.41733378e-02f, 1.03768728e-01f, 1.13953051e-01f, 1.24727473e-01f, 1.36091031e-01f, 1.48040798e-01f, 1.60572082e-01f, 1.73678660e-01f, 1.87353038e-01f, 2.01586736e-01f, 2.16370598e-01f, 2.31695113e-01f, 2.47550758e-01f, 2.63928342e-01f, 2.80819365e-01f, 2.98216379e-01f, 3.16113348e-01f, 3.34506011e-01f, 3.53392244e-01f, 3.72772414e-01f, 3.92649735e-01f, 4.13030618e-01f, 4.33925021e-01f, 4.55346789e-01f, 4.77314001e-01f, 4.99849320e-01f, 5.22980337e-01f, 5.46739932e-01f, 5.71166640e-01f, 5.96305036e-01f, 6.22206131e-01f, 6.48927802e-01f, 6.76535247e-01f, 7.05101473e-01f, 7.34707835e-01f, 7.65444619e-01f, 7.97411688e-01f, 8.30719192e-01f, 8.65488366e-01f, 9.01852407e-01f, 9.39957463e-01f, 9.79963735e-01f, 1.02204672e+00f, 1.06639858e+00f, 1.11322974e+00f, 1.16277062e+00f, 1.21527359e+00f, 1.27101525e+00f, 1.33029891e+00f, 1.39345744e+00f, 1.46085648e+00f, 1.53289803e+00f, 1.61002461e+00f, 1.69272386e+00f, 1.78153384e+00f, 1.87704900e+00f, 1.97992701e+00f, 2.09089644e+00f, 2.21076567e+00f, 2.34043290e+00f, 2.48089770e+00f, 2.63327413e+00f, 2.79880590e+00f, 2.97888368e+00f, 3.17506505e+00f, 3.38909744e+00f, 3.62294469e+00f, 3.87881764e+00f, 4.15920968e+00f, 4.46693789e+00f, 4.80519096e+00f, 5.17758497e+00f, 5.58822853e+00f, 6.04179895e+00f, 6.54363157e+00f, 7.09982467e+00f, 7.71736306e+00f, 8.40426388e+00f, 9.16974906e+00f, 1.00244499e+01f, 1.09806502e+01f, 1.20525758e+01f, 1.32567410e+01f, 1.46123627e+01f, 1.61418586e+01f, 1.78714466e+01f, 1.98318690e+01f, 2.20592694e+01f, 2.45962577e+01f, 2.74932084e+01f, 3.08098460e+01f, 3.46171893e+01f, 3.89999428e+01f, 4.40594471e+01f, 4.99173320e+01f, 5.67200545e+01f, 6.46445583e+01f, 7.39053537e+01f, 8.47634121e+01f, 9.75373786e+01f, 1.12617765e+02f, 1.30484989e+02f, 1.51732386e+02f, 1.77095712e+02f, 2.07491096e+02f, 2.44064119e+02f, 2.88253545e+02f, 3.41874461e+02f, 4.07227291e+02f, 4.87241400e+02f, 5.85665251e+02f, 7.07319497e+02f, 8.58435639e+02f, 1.04711167e+03f, 1.28392853e+03f, 1.58278901e+03f, 1.96206607e+03f, 2.44618436e+03f, 3.06781187e+03f, 3.87091688e+03f, 4.91505977e+03f, 6.28145970e+03f, 8.08162997e+03f, 1.04697579e+04f, 1.36605846e+04f, 1.79554230e+04f, 2.37803156e+04f, 3.17424455e+04f, 4.27142204e+04f, 5.79596727e+04f, 7.93261335e+04f, 1.09537503e+05f, 1.52647130e+05f, 2.14743829e+05f, 3.05063335e+05f, 4.37755687e+05f, 6.34724899e+05f, 9.30240305e+05f, 1.37850753e+06f, 2.06623977e+06f, 3.13377596e+06f, 4.81098405e+06f, 7.47905793e+06f, 1.17782423e+07f, 1.87980927e+07f, 3.04180655e+07f, 4.99257437e+07f, 8.31551852e+07f, 1.40614107e+08f, 2.41519712e+08f, 4.21576502e+08f, 7.48209440e+08f, 1.35089892e+09f, 2.48263348e+09f, 4.64662007e+09f, 8.86235204e+09f, 1.72348930e+10f, 3.41967381e+10f, 6.92714
      { 2.67108015e-21f, 5.82833463e-21f, 1.25616316e-20f, 2.67469785e-20f, 5.62745845e-20f, 1.17014394e-19f, 2.40511019e-19f, 4.88739481e-19f, 9.82072303e-19f, 1.95168062e-18f, 3.83661097e-18f, 7.46163208e-18f, 1.43594942e-17f, 2.73485792e-17f, 5.15573612e-17f, 9.62223075e-17f, 1.77810682e-16f, 3.25389618e-16f, 5.89765054e-16f, 1.05888451e-15f, 1.88354538e-15f, 3.31989417e-15f, 5.79902273e-15f, 1.00398818e-14f, 1.72308010e-14f, 2.93186753e-14f, 4.94655967e-14f, 8.27635884e-14f, 1.37343706e-13f, 2.26082511e-13f, 3.69205736e-13f, 5.98228147e-13f, 9.61866975e-13f, 1.53484658e-12f, 2.43090464e-12f, 3.82185577e-12f, 5.96531965e-12f, 9.24474797e-12f, 1.42267754e-11f, 2.17427910e-11f, 3.30041201e-11f, 4.97635091e-11f, 7.45399354e-11f, 1.10929412e-10f, 1.64031748e-10f, 2.41032586e-10f, 3.51991946e-10f, 5.10905560e-10f, 7.37124150e-10f, 1.05723929e-09f, 1.50757352e-09f, 2.13744796e-09f, 3.01344401e-09f, 4.22492806e-09f, 5.89117093e-09f, 8.17046854e-09f, 1.12717587e-08f, 1.54693324e-08f, 2.11213594e-08f, 2.86930859e-08f, 3.87857241e-08f, 5.21722335e-08f, 6.98414017e-08f, 9.30518593e-08f, 1.23397923e-07f, 1.62889442e-07f, 2.14048123e-07f, 2.80023159e-07f, 3.64729321e-07f, 4.73011070e-07f, 6.10836627e-07f, 7.85526363e-07f, 1.00602028e-06f, 1.28318979e-06f, 1.63019938e-06f, 2.06292424e-06f, 2.60043021e-06f, 3.26552286e-06f, 4.08537275e-06f, 5.09222413e-06f, 6.32419483e-06f, 7.82617466e-06f, 9.65083023e-06f, 1.18597236e-05f, 1.45245521e-05f, 1.77285168e-05f, 2.15678251e-05f, 2.61533347e-05f, 3.16123436e-05f, 3.80905295e-05f, 4.57540432e-05f, 5.47917575e-05f, 6.54176707e-05f, 7.78734661e-05f, 9.24312223e-05f, 1.09396271e-04f, 1.29110197e-04f, 1.51953965e-04f, 1.78351176e-04f, 2.08771424e-04f, 2.43733750e-04f, 2.83810168e-04f, 3.29629253e-04f, 3.81879756e-04f, 4.41314233e-04f, 5.08752659e-04f, 5.85085996e-04f, 6.71279692e-04f, 7.68377076e-04f, 8.77502620e-04f, 9.99865030e-04f, 1.13676015e-03f, 1.28957360e-03f, 1.45978322e-03f, 1.64896113e-03f, 1.85877551e-03f, 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, 8.56651
   };
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
   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 std::integral_constant<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, },
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      { 4.901759085947701448e-159, 1.505832423620814399e-156, 4.231872109262999523e-154, 1.089479701785106001e-151, 2.572922387150651649e-149, 5.581311054334156941e-147, 1.113575900126970040e-144, 2.046165051332286084e-142, 3.466994885004770636e-140, 5.423795404073501922e-138, 7.843833272402847010e-136, 1.049922957933194415e-133, 1.302301071957418603e-131, 1.498659737828393008e-129, 1.601906622414286282e-127, 1.592248618401983561e-125, 1.473375345916436274e-123, 1.270651551394009593e-121, 1.022408263525766209e-119, 7.683762602329562781e-118, 5.399268127233373186e-116, 3.551074274853494676e-114, 2.188235409519121010e-112, 1.264667515430816934e-110, 6.861807566737243712e-109, 3.498691686825209963e-107, 1.678016807398375157e-105, 7.577439431441931490e-104, 3.224703770159386809e-102, 1.294487090677705963e-100, 4.906133250963454139e-99, 1.757121317988153326e-97, 5.952042491454320383e-96, 1.908566653286417264e-94, 5.798224459236429212e-93, 1.670293239978334727e-91, 4.566236673398083038e-90, 1.185617342791547945e-88, 2.926160027801296929e-87, 6.870061134126707137e-86, 1.535565783500379945e-84, 3.270036736778401257e-83, 6.639558007206580362e-82, 1.286319750967398593e-80, 2.379566581139022958e-79, 4.206268231398883425e-78, 7.109719237833379433e-77, 1.149915104115372777e-75, 1.780876201255594220e-74, 2.642703796179329883e-73, 3.760085375941719327e-72, 5.132920951124251993e-71, 6.727100274601427696e-70, 8.469585621347697498e-69, 1.025032382672232848e-67, 1.193219127557863348e-66, 1.336816930381306582e-65, 1.442283479679798385e-64, 1.499374555004793991e-63, 1.502797203133501438e-62, 1.453005969318485303e-61, 1.355980448377862540e-60, 1.222072412212552127e-59, 1.064223180270520159e-58, 8.959667396075636845e-58, 7.296288808079294105e-57, 5.750255296190181158e-56, 4.388011664829013518e-55, 3.243852451291832398e-54, 2.324239357665538806e-53, 1.614869776203026446e-52, 1.088524605545274842e-51, 7.121755574192829045e-51, 4.524647662549067074e-50, 2.792730715818793035e-49, 1.675384879603864227e-48, 9.773114328777676091e-48, 5.545910766847627082e-47, 3.062809705627873645e-46, 1.646862118038266234e-45, 8.625108513887155847e-45, 4.401687663868890701e-44, 2.189755778847646746e-43, 1.062345336449265889e-42, 5.028036663485684049e-42, 2.322524635717249223e-41, 1.047406593898341306e-40, 4.613438388449698168e-40, 1.985397445118162005e-39, 8.351027367454628343e-39, 3.434440903484543389e-38, 1.381489131877196646e-37, 5.437051201310225224e-37, 2.094357548080647717e-36, 7.898676618592006902e-36, 2.917536870947471272e-35, 1.055788886022716597e-34, 3.744333812160330812e-34, 1.301801185251957290e-33, 4.438346216893387768e-33, 1.484348268951816542e-32, 4.871001129849836971e-32, 1.568903000742513942e-31, 4.961295315917935235e-31, 1.540773910027990821e-30, 4.700558022172014910e-30, 1.409115230718949596e-29, 4.151913103955692034e-29, 1.202737613715427748e-28, 3.426327374934496736e-28, 9.601405359397026012e-28, 2.647278642033773301e-27, 7.183442220565147103e-27, 1.918850545981494042e-26, 5.046974779455992494e-26, 1.307394799925911700e-25, 3.336342198236957082e-25, 8.389259581136262194e-25, 2.079051813513548608e-24, 5.079178967243765280e-24, 1.223501794357837278e-23, 2.906654911057549530e-23, 6.811668606095015470e-23, 1.574985938238025303e-22, 3.593796788969348326e-22, 8.094185411205212564e-22, 1.799796183237481721e-21, 3.951758901641017285e-21, 8.569580068050865775e-21, 1.835753486517298696e-20, 3.885414339966022317e-20, 8.126613972895021790e-20, 1.680007182889503141e-19, 3.433369351563962828e-19, 6.937695550399427499e-19, 1.386345631008981755e-18, 2.740087497759230881e-18, 5.357570288683386626e-18, 1.036464933022803784e-17, 1.984249442010084992e-17, 3.759788006060003409e-17, 7.052211261821684795e-17, 1.309635641529546221e-16, 2.408275496109180528e-16, 4.385898809611711552e-16, 7.911758686849121285e-16, 1.413883597877183873e-15, 2.503477536644680210e-15, 4.392637866550705827e-15, 7.638710306960574612e-15, 1.316703360377476041e-14, 2.250031027275448919e-14, 3.812239733412214953e-14, 6.405021660191363479e-14, 1.067250538270319484e-13, 1.763897493784721010e-13, 2
   };
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
   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 std::integral_constant<int, 3>&)
{
   m_abscissas = {
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   };
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
   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 std::integral_constant<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, 0.9367868281384272374009925574604673700344Q, 1.390682216155298525280673341216151282237Q, 2.107722788359705067834932911785748508994Q, 3.347673174455422472577549274497972709551Q, 5.736410541438001909256000925370163885819Q, 10.96982957507422942804757729955529934671Q, 24.38435887010115093181364909323819215825Q, 66.24753699117985966148476651092908482621Q, 234.2315029073004369735419071058951676162Q, 1166.800705234530212373324266823192926477Q, 9058.072807556345123303399558638850050032Q, 124646.6048080201712485538680062639558529Q, 3584819.86746951378682172637961966062923Q, 266100993.7796082691768128807430671558536Q, 66825052601.51570420440082629824643725379Q, 80338167537283.97995953411028754151943899Q, 721934731984192713.8330181471216700501392Q, 85912332322414837303920.66199595232277841Q, 282145179878388664670389842403.4386259681Q, 65637349877520123390370406122266056686.38Q, 3.628585210946194380811829731899355186227e+48Q, 2.255004287064249520310520131039130736102e+62Q, 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, },
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   };
#if !defined(BOOST_MATH_NO_ATOMIC_INT) && defined(BOOST_HAS_THREADS)
   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