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Diffstat (limited to 'inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/detail/bernoulli_details.hpp')
-rw-r--r-- | inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/detail/bernoulli_details.hpp | 712 |
1 files changed, 0 insertions, 712 deletions
diff --git a/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/detail/bernoulli_details.hpp b/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/detail/bernoulli_details.hpp deleted file mode 100644 index ce9503443..000000000 --- a/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/detail/bernoulli_details.hpp +++ /dev/null @@ -1,712 +0,0 @@ -/////////////////////////////////////////////////////////////////////////////// -// Copyright 2013 John Maddock -// Distributed under 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_BERNOULLI_DETAIL_HPP -#define BOOST_MATH_BERNOULLI_DETAIL_HPP - -#include <boost/config.hpp> -#include <boost/detail/lightweight_mutex.hpp> -#include <boost/utility/enable_if.hpp> -#include <boost/math/tools/toms748_solve.hpp> -#include <vector> - -#ifdef BOOST_HAS_THREADS - -#ifndef BOOST_NO_CXX11_HDR_ATOMIC -# include <atomic> -# define BOOST_MATH_ATOMIC_NS std -#if ATOMIC_INT_LOCK_FREE == 2 -typedef std::atomic<int> atomic_counter_type; -typedef int atomic_integer_type; -#elif ATOMIC_SHORT_LOCK_FREE == 2 -typedef std::atomic<short> atomic_counter_type; -typedef short atomic_integer_type; -#elif ATOMIC_LONG_LOCK_FREE == 2 -typedef std::atomic<long> atomic_counter_type; -typedef long atomic_integer_type; -#elif ATOMIC_LLONG_LOCK_FREE == 2 -typedef std::atomic<long long> atomic_counter_type; -typedef long long atomic_integer_type; -#else -# define BOOST_MATH_NO_ATOMIC_INT -#endif - -#else // BOOST_NO_CXX11_HDR_ATOMIC -// -// We need Boost.Atomic, but on any platform that supports auto-linking we do -// not need to link against a separate library: -// -#define BOOST_ATOMIC_NO_LIB -#include <boost/atomic.hpp> -# define BOOST_MATH_ATOMIC_NS boost - -namespace boost{ namespace math{ namespace detail{ - -// -// We need a type to use as an atomic counter: -// -#if BOOST_ATOMIC_INT_LOCK_FREE == 2 -typedef boost::atomic<int> atomic_counter_type; -typedef int atomic_integer_type; -#elif BOOST_ATOMIC_SHORT_LOCK_FREE == 2 -typedef boost::atomic<short> atomic_counter_type; -typedef short atomic_integer_type; -#elif BOOST_ATOMIC_LONG_LOCK_FREE == 2 -typedef boost::atomic<long> atomic_counter_type; -typedef long atomic_integer_type; -#elif BOOST_ATOMIC_LLONG_LOCK_FREE == 2 -typedef boost::atomic<long long> atomic_counter_type; -typedef long long atomic_integer_type; -#else -# define BOOST_MATH_NO_ATOMIC_INT -#endif - -}}} // namespaces - -#endif // BOOST_NO_CXX11_HDR_ATOMIC - -#endif // BOOST_HAS_THREADS - -namespace boost{ namespace math{ namespace detail{ -// -// Asymptotic expansion for B2n due to -// Luschny LogB3 formula (http://www.luschny.de/math/primes/bernincl.html) -// -template <class T, class Policy> -T b2n_asymptotic(int n) -{ - BOOST_MATH_STD_USING - const T nx = static_cast<T>(n); - const T nx2(nx * nx); - - const T approximate_log_of_bernoulli_bn = - ((boost::math::constants::half<T>() + nx) * log(nx)) - + ((boost::math::constants::half<T>() - nx) * log(boost::math::constants::pi<T>())) - + (((T(3) / 2) - nx) * boost::math::constants::ln_two<T>()) - + ((nx * (T(2) - (nx2 * 7) * (1 + ((nx2 * 30) * ((nx2 * 12) - 1))))) / (((nx2 * nx2) * nx2) * 2520)); - return ((n / 2) & 1 ? 1 : -1) * (approximate_log_of_bernoulli_bn > tools::log_max_value<T>() - ? policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, nx, Policy()) - : static_cast<T>(exp(approximate_log_of_bernoulli_bn))); -} - -template <class T, class Policy> -T t2n_asymptotic(int n) -{ - BOOST_MATH_STD_USING - // Just get B2n and convert to a Tangent number: - T t2n = fabs(b2n_asymptotic<T, Policy>(2 * n)) / (2 * n); - T p2 = ldexp(T(1), n); - if(tools::max_value<T>() / p2 < t2n) - return policies::raise_overflow_error<T>("boost::math::tangent_t2n<%1%>(std::size_t)", 0, T(n), Policy()); - t2n *= p2; - p2 -= 1; - if(tools::max_value<T>() / p2 < t2n) - return policies::raise_overflow_error<T>("boost::math::tangent_t2n<%1%>(std::size_t)", 0, Policy()); - t2n *= p2; - return t2n; -} -// -// We need to know the approximate value of /n/ which will -// cause bernoulli_b2n<T>(n) to return infinity - this allows -// us to elude a great deal of runtime checking for values below -// n, and only perform the full overflow checks when we know that we're -// getting close to the point where our calculations will overflow. -// We use Luschny's LogB3 formula (http://www.luschny.de/math/primes/bernincl.html) -// to find the limit, and since we're dealing with the log of the Bernoulli numbers -// we need only perform the calculation at double precision and not with T -// (which may be a multiprecision type). The limit returned is within 1 of the true -// limit for all the types tested. Note that although the code below is basically -// the same as b2n_asymptotic above, it has been recast as a continuous real-valued -// function as this makes the root finding go smoother/faster. It also omits the -// sign of the Bernoulli number. -// -struct max_bernoulli_root_functor -{ - max_bernoulli_root_functor(long long t) : target(static_cast<double>(t)) {} - double operator()(double n) - { - BOOST_MATH_STD_USING - - // Luschny LogB3(n) formula. - - const double nx2(n * n); - - const double approximate_log_of_bernoulli_bn - = ((boost::math::constants::half<double>() + n) * log(n)) - + ((boost::math::constants::half<double>() - n) * log(boost::math::constants::pi<double>())) - + (((double(3) / 2) - n) * boost::math::constants::ln_two<double>()) - + ((n * (2 - (nx2 * 7) * (1 + ((nx2 * 30) * ((nx2 * 12) - 1))))) / (((nx2 * nx2) * nx2) * 2520)); - - return approximate_log_of_bernoulli_bn - target; - } -private: - double target; -}; - -template <class T, class Policy> -inline std::size_t find_bernoulli_overflow_limit(const mpl::false_&) -{ - long long t = lltrunc(boost::math::tools::log_max_value<T>()); - max_bernoulli_root_functor fun(t); - boost::math::tools::equal_floor tol; - boost::uintmax_t max_iter = boost::math::policies::get_max_root_iterations<Policy>(); - return static_cast<std::size_t>(boost::math::tools::toms748_solve(fun, sqrt(double(t)), double(t), tol, max_iter).first) / 2; -} - -template <class T, class Policy> -inline std::size_t find_bernoulli_overflow_limit(const mpl::true_&) -{ - return max_bernoulli_index<bernoulli_imp_variant<T>::value>::value; -} - -template <class T, class Policy> -std::size_t b2n_overflow_limit() -{ - // This routine is called at program startup if it's called at all: - // that guarantees safe initialization of the static variable. - typedef mpl::bool_<(bernoulli_imp_variant<T>::value >= 1) && (bernoulli_imp_variant<T>::value <= 3)> tag_type; - static const std::size_t lim = find_bernoulli_overflow_limit<T, Policy>(tag_type()); - return lim; -} - -// -// The tangent numbers grow larger much more rapidly than the Bernoulli numbers do.... -// so to compute the Bernoulli numbers from the tangent numbers, we need to avoid spurious -// overflow in the calculation, we can do this by scaling all the tangent number by some scale factor: -// -template <class T> -inline typename enable_if_c<std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::radix == 2), T>::type tangent_scale_factor() -{ - BOOST_MATH_STD_USING - return ldexp(T(1), std::numeric_limits<T>::min_exponent + 5); -} -template <class T> -inline typename disable_if_c<std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::radix == 2), T>::type tangent_scale_factor() -{ - return tools::min_value<T>() * 16; -} -// -// Initializer: ensure all our constants are initialized prior to the first call of main: -// -template <class T, class Policy> -struct bernoulli_initializer -{ - struct init - { - init() - { - // - // We call twice, once to initialize our static table, and once to - // initialize our dymanic table: - // - boost::math::bernoulli_b2n<T>(2, Policy()); -#ifndef BOOST_NO_EXCEPTIONS - try{ -#endif - boost::math::bernoulli_b2n<T>(max_bernoulli_b2n<T>::value + 1, Policy()); -#ifndef BOOST_NO_EXCEPTIONS - } catch(const std::overflow_error&){} -#endif - boost::math::tangent_t2n<T>(2, Policy()); - } - void force_instantiate()const{} - }; - static const init initializer; - static void force_instantiate() - { - initializer.force_instantiate(); - } -}; - -template <class T, class Policy> -const typename bernoulli_initializer<T, Policy>::init bernoulli_initializer<T, Policy>::initializer; - -// -// We need something to act as a cache for our calculated Bernoulli numbers. In order to -// ensure both fast access and thread safety, we need a stable table which may be extended -// in size, but which never reallocates: that way values already calculated may be accessed -// concurrently with another thread extending the table with new values. -// -// Very very simple vector class that will never allocate more than once, we could use -// boost::container::static_vector here, but that allocates on the stack, which may well -// cause issues for the amount of memory we want in the extreme case... -// -template <class T> -struct fixed_vector : private std::allocator<T> -{ - typedef unsigned size_type; - typedef T* iterator; - typedef const T* const_iterator; - fixed_vector() : m_used(0) - { - std::size_t overflow_limit = 5 + b2n_overflow_limit<T, policies::policy<> >(); - m_capacity = static_cast<unsigned>((std::min)(overflow_limit, static_cast<std::size_t>(100000u))); - m_data = this->allocate(m_capacity); - } - ~fixed_vector() - { - for(unsigned i = 0; i < m_used; ++i) - this->destroy(&m_data[i]); - this->deallocate(m_data, m_capacity); - } - T& operator[](unsigned n) { BOOST_ASSERT(n < m_used); return m_data[n]; } - const T& operator[](unsigned n)const { BOOST_ASSERT(n < m_used); return m_data[n]; } - unsigned size()const { return m_used; } - unsigned size() { return m_used; } - void resize(unsigned n, const T& val) - { - if(n > m_capacity) - { - BOOST_THROW_EXCEPTION(std::runtime_error("Exhausted storage for Bernoulli numbers.")); - } - for(unsigned i = m_used; i < n; ++i) - new (m_data + i) T(val); - m_used = n; - } - void resize(unsigned n) { resize(n, T()); } - T* begin() { return m_data; } - T* end() { return m_data + m_used; } - T* begin()const { return m_data; } - T* end()const { return m_data + m_used; } - unsigned capacity()const { return m_capacity; } - void clear() { m_used = 0; } -private: - T* m_data; - unsigned m_used, m_capacity; -}; - -template <class T, class Policy> -class bernoulli_numbers_cache -{ -public: - bernoulli_numbers_cache() : m_overflow_limit((std::numeric_limits<std::size_t>::max)()) -#if defined(BOOST_HAS_THREADS) && !defined(BOOST_MATH_NO_ATOMIC_INT) - , m_counter(0) -#endif - , m_current_precision(boost::math::tools::digits<T>()) - {} - - typedef fixed_vector<T> container_type; - - void tangent(std::size_t m) - { - static const std::size_t min_overflow_index = b2n_overflow_limit<T, Policy>() - 1; - tn.resize(static_cast<typename container_type::size_type>(m), T(0U)); - - BOOST_MATH_INSTRUMENT_VARIABLE(min_overflow_index); - - std::size_t prev_size = m_intermediates.size(); - m_intermediates.resize(m, T(0U)); - - if(prev_size == 0) - { - m_intermediates[1] = tangent_scale_factor<T>() /*T(1U)*/; - tn[0U] = T(0U); - tn[1U] = tangent_scale_factor<T>()/* T(1U)*/; - BOOST_MATH_INSTRUMENT_VARIABLE(tn[0]); - BOOST_MATH_INSTRUMENT_VARIABLE(tn[1]); - } - - for(std::size_t i = std::max<size_t>(2, prev_size); i < m; i++) - { - bool overflow_check = false; - if(i >= min_overflow_index && (boost::math::tools::max_value<T>() / (i-1) < m_intermediates[1]) ) - { - std::fill(tn.begin() + i, tn.end(), boost::math::tools::max_value<T>()); - break; - } - m_intermediates[1] = m_intermediates[1] * (i-1); - for(std::size_t j = 2; j <= i; j++) - { - overflow_check = - (i >= min_overflow_index) && ( - (boost::math::tools::max_value<T>() / (i - j) < m_intermediates[j]) - || (boost::math::tools::max_value<T>() / (i - j + 2) < m_intermediates[j-1]) - || (boost::math::tools::max_value<T>() - m_intermediates[j] * (i - j) < m_intermediates[j-1] * (i - j + 2)) - || ((boost::math::isinf)(m_intermediates[j])) - ); - - if(overflow_check) - { - std::fill(tn.begin() + i, tn.end(), boost::math::tools::max_value<T>()); - break; - } - m_intermediates[j] = m_intermediates[j] * (i - j) + m_intermediates[j-1] * (i - j + 2); - } - if(overflow_check) - break; // already filled the tn... - tn[static_cast<typename container_type::size_type>(i)] = m_intermediates[i]; - BOOST_MATH_INSTRUMENT_VARIABLE(i); - BOOST_MATH_INSTRUMENT_VARIABLE(tn[static_cast<typename container_type::size_type>(i)]); - } - } - - void tangent_numbers_series(const std::size_t m) - { - BOOST_MATH_STD_USING - static const std::size_t min_overflow_index = b2n_overflow_limit<T, Policy>() - 1; - - typename container_type::size_type old_size = bn.size(); - - tangent(m); - bn.resize(static_cast<typename container_type::size_type>(m)); - - if(!old_size) - { - bn[0] = 1; - old_size = 1; - } - - T power_two(ldexp(T(1), static_cast<int>(2 * old_size))); - - for(std::size_t i = old_size; i < m; i++) - { - T b(static_cast<T>(i * 2)); - // - // Not only do we need to take care to avoid spurious over/under flow in - // the calculation, but we also need to avoid overflow altogether in case - // we're calculating with a type where "bad things" happen in that case: - // - b = b / (power_two * tangent_scale_factor<T>()); - b /= (power_two - 1); - bool overflow_check = (i >= min_overflow_index) && (tools::max_value<T>() / tn[static_cast<typename container_type::size_type>(i)] < b); - if(overflow_check) - { - m_overflow_limit = i; - while(i < m) - { - b = std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : tools::max_value<T>(); - bn[static_cast<typename container_type::size_type>(i)] = ((i % 2U) ? b : T(-b)); - ++i; - } - break; - } - else - { - b *= tn[static_cast<typename container_type::size_type>(i)]; - } - - power_two = ldexp(power_two, 2); - - const bool b_neg = i % 2 == 0; - - bn[static_cast<typename container_type::size_type>(i)] = ((!b_neg) ? b : T(-b)); - } - } - - template <class OutputIterator> - OutputIterator copy_bernoulli_numbers(OutputIterator out, std::size_t start, std::size_t n, const Policy& pol) - { - // - // There are basically 3 thread safety options: - // - // 1) There are no threads (BOOST_HAS_THREADS is not defined). - // 2) There are threads, but we do not have a true atomic integer type, - // in this case we just use a mutex to guard against race conditions. - // 3) There are threads, and we have an atomic integer: in this case we can - // use the double-checked locking pattern to avoid thread synchronisation - // when accessing values already in the cache. - // - // First off handle the common case for overflow and/or asymptotic expansion: - // - if(start + n > bn.capacity()) - { - if(start < bn.capacity()) - { - out = copy_bernoulli_numbers(out, start, bn.capacity() - start, pol); - n -= bn.capacity() - start; - start = static_cast<std::size_t>(bn.capacity()); - } - if(start < b2n_overflow_limit<T, Policy>() + 2u) - { - for(; n; ++start, --n) - { - *out = b2n_asymptotic<T, Policy>(static_cast<typename container_type::size_type>(start * 2U)); - ++out; - } - } - for(; n; ++start, --n) - { - *out = policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(start), pol); - ++out; - } - return out; - } - #if !defined(BOOST_HAS_THREADS) - // - // Single threaded code, very simple: - // - if(m_current_precision < boost::math::tools::digits<T>()) - { - bn.clear(); - tn.clear(); - m_intermediates.clear(); - m_current_precision = boost::math::tools::digits<T>(); - } - if(start + n >= bn.size()) - { - std::size_t new_size = (std::min)((std::max)((std::max)(std::size_t(start + n), std::size_t(bn.size() + 20)), std::size_t(50)), std::size_t(bn.capacity())); - tangent_numbers_series(new_size); - } - - for(std::size_t i = (std::max)(std::size_t(max_bernoulli_b2n<T>::value + 1), start); i < start + n; ++i) - { - *out = (i >= m_overflow_limit) ? policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol) : bn[i]; - ++out; - } - #elif defined(BOOST_MATH_NO_ATOMIC_INT) - // - // We need to grab a mutex every time we get here, for both readers and writers: - // - boost::detail::lightweight_mutex::scoped_lock l(m_mutex); - if(m_current_precision < boost::math::tools::digits<T>()) - { - bn.clear(); - tn.clear(); - m_intermediates.clear(); - m_current_precision = boost::math::tools::digits<T>(); - } - if(start + n >= bn.size()) - { - std::size_t new_size = (std::min)((std::max)((std::max)(std::size_t(start + n), std::size_t(bn.size() + 20)), std::size_t(50)), std::size_t(bn.capacity())); - tangent_numbers_series(new_size); - } - - for(std::size_t i = (std::max)(std::size_t(max_bernoulli_b2n<T>::value + 1), start); i < start + n; ++i) - { - *out = (i >= m_overflow_limit) ? policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol) : bn[i]; - ++out; - } - - #else - // - // Double-checked locking pattern, lets us access cached already cached values - // without locking: - // - // Get the counter and see if we need to calculate more constants: - // - if((static_cast<std::size_t>(m_counter.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < start + n) - || (static_cast<int>(m_current_precision.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < boost::math::tools::digits<T>())) - { - boost::detail::lightweight_mutex::scoped_lock l(m_mutex); - - if((static_cast<std::size_t>(m_counter.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < start + n) - || (static_cast<int>(m_current_precision.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < boost::math::tools::digits<T>())) - { - if(static_cast<int>(m_current_precision.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < boost::math::tools::digits<T>()) - { - bn.clear(); - tn.clear(); - m_intermediates.clear(); - m_counter.store(0, BOOST_MATH_ATOMIC_NS::memory_order_release); - m_current_precision = boost::math::tools::digits<T>(); - } - if(start + n >= bn.size()) - { - std::size_t new_size = (std::min)((std::max)((std::max)(std::size_t(start + n), std::size_t(bn.size() + 20)), std::size_t(50)), std::size_t(bn.capacity())); - tangent_numbers_series(new_size); - } - m_counter.store(static_cast<atomic_integer_type>(bn.size()), BOOST_MATH_ATOMIC_NS::memory_order_release); - } - } - - for(std::size_t i = (std::max)(static_cast<std::size_t>(max_bernoulli_b2n<T>::value + 1), start); i < start + n; ++i) - { - *out = (i >= m_overflow_limit) ? policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol) : bn[static_cast<typename container_type::size_type>(i)]; - ++out; - } - - #endif - return out; - } - - template <class OutputIterator> - OutputIterator copy_tangent_numbers(OutputIterator out, std::size_t start, std::size_t n, const Policy& pol) - { - // - // There are basically 3 thread safety options: - // - // 1) There are no threads (BOOST_HAS_THREADS is not defined). - // 2) There are threads, but we do not have a true atomic integer type, - // in this case we just use a mutex to guard against race conditions. - // 3) There are threads, and we have an atomic integer: in this case we can - // use the double-checked locking pattern to avoid thread synchronisation - // when accessing values already in the cache. - // - // - // First off handle the common case for overflow and/or asymptotic expansion: - // - if(start + n > bn.capacity()) - { - if(start < bn.capacity()) - { - out = copy_tangent_numbers(out, start, bn.capacity() - start, pol); - n -= bn.capacity() - start; - start = static_cast<std::size_t>(bn.capacity()); - } - if(start < b2n_overflow_limit<T, Policy>() + 2u) - { - for(; n; ++start, --n) - { - *out = t2n_asymptotic<T, Policy>(static_cast<typename container_type::size_type>(start)); - ++out; - } - } - for(; n; ++start, --n) - { - *out = policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(start), pol); - ++out; - } - return out; - } - #if !defined(BOOST_HAS_THREADS) - // - // Single threaded code, very simple: - // - if(m_current_precision < boost::math::tools::digits<T>()) - { - bn.clear(); - tn.clear(); - m_intermediates.clear(); - m_current_precision = boost::math::tools::digits<T>(); - } - if(start + n >= bn.size()) - { - std::size_t new_size = (std::min)((std::max)((std::max)(start + n, std::size_t(bn.size() + 20)), std::size_t(50)), std::size_t(bn.capacity())); - tangent_numbers_series(new_size); - } - - for(std::size_t i = start; i < start + n; ++i) - { - if(i >= m_overflow_limit) - *out = policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol); - else - { - if(tools::max_value<T>() * tangent_scale_factor<T>() < tn[static_cast<typename container_type::size_type>(i)]) - *out = policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol); - else - *out = tn[static_cast<typename container_type::size_type>(i)] / tangent_scale_factor<T>(); - } - ++out; - } - #elif defined(BOOST_MATH_NO_ATOMIC_INT) - // - // We need to grab a mutex every time we get here, for both readers and writers: - // - boost::detail::lightweight_mutex::scoped_lock l(m_mutex); - if(m_current_precision < boost::math::tools::digits<T>()) - { - bn.clear(); - tn.clear(); - m_intermediates.clear(); - m_current_precision = boost::math::tools::digits<T>(); - } - if(start + n >= bn.size()) - { - std::size_t new_size = (std::min)((std::max)((std::max)(start + n, std::size_t(bn.size() + 20)), std::size_t(50)), std::size_t(bn.capacity())); - tangent_numbers_series(new_size); - } - - for(std::size_t i = start; i < start + n; ++i) - { - if(i >= m_overflow_limit) - *out = policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol); - else - { - if(tools::max_value<T>() * tangent_scale_factor<T>() < tn[static_cast<typename container_type::size_type>(i)]) - *out = policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol); - else - *out = tn[static_cast<typename container_type::size_type>(i)] / tangent_scale_factor<T>(); - } - ++out; - } - - #else - // - // Double-checked locking pattern, lets us access cached already cached values - // without locking: - // - // Get the counter and see if we need to calculate more constants: - // - if((static_cast<std::size_t>(m_counter.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < start + n) - || (static_cast<int>(m_current_precision.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < boost::math::tools::digits<T>())) - { - boost::detail::lightweight_mutex::scoped_lock l(m_mutex); - - if((static_cast<std::size_t>(m_counter.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < start + n) - || (static_cast<int>(m_current_precision.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < boost::math::tools::digits<T>())) - { - if(static_cast<int>(m_current_precision.load(BOOST_MATH_ATOMIC_NS::memory_order_consume)) < boost::math::tools::digits<T>()) - { - bn.clear(); - tn.clear(); - m_intermediates.clear(); - m_counter.store(0, BOOST_MATH_ATOMIC_NS::memory_order_release); - m_current_precision = boost::math::tools::digits<T>(); - } - if(start + n >= bn.size()) - { - std::size_t new_size = (std::min)((std::max)((std::max)(start + n, std::size_t(bn.size() + 20)), std::size_t(50)), std::size_t(bn.capacity())); - tangent_numbers_series(new_size); - } - m_counter.store(static_cast<atomic_integer_type>(bn.size()), BOOST_MATH_ATOMIC_NS::memory_order_release); - } - } - - for(std::size_t i = start; i < start + n; ++i) - { - if(i >= m_overflow_limit) - *out = policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol); - else - { - if(tools::max_value<T>() * tangent_scale_factor<T>() < tn[static_cast<typename container_type::size_type>(i)]) - *out = policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(std::size_t)", 0, T(i), pol); - else - *out = tn[static_cast<typename container_type::size_type>(i)] / tangent_scale_factor<T>(); - } - ++out; - } - - #endif - return out; - } - -private: - // - // The caches for Bernoulli and tangent numbers, once allocated, - // these must NEVER EVER reallocate as it breaks our thread - // safety guarantees: - // - fixed_vector<T> bn, tn; - std::vector<T> m_intermediates; - // The value at which we know overflow has already occurred for the Bn: - std::size_t m_overflow_limit; -#if !defined(BOOST_HAS_THREADS) - int m_current_precision; -#elif defined(BOOST_MATH_NO_ATOMIC_INT) - boost::detail::lightweight_mutex m_mutex; - int m_current_precision; -#else - boost::detail::lightweight_mutex m_mutex; - atomic_counter_type m_counter, m_current_precision; -#endif -}; - -template <class T, class Policy> -inline bernoulli_numbers_cache<T, Policy>& get_bernoulli_numbers_cache() -{ - // - // Force this function to be called at program startup so all the static variables - // get initailzed then (thread safety). - // - bernoulli_initializer<T, Policy>::force_instantiate(); - static bernoulli_numbers_cache<T, Policy> data; - return data; -} - -}}} - -#endif // BOOST_MATH_BERNOULLI_DETAIL_HPP |