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			5.3 KiB
		
	
	
	
		
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			144 lines
		
	
	
		
			5.3 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | 
 | ||
|  | /////////////////////////////////////////////////////////////////////////////// | ||
|  | //  Copyright 2013 Nikhar Agrawal | ||
|  | //  Copyright 2013 Christopher Kormanyos | ||
|  | //  Copyright 2013 John Maddock | ||
|  | //  Copyright 2013 Paul Bristow | ||
|  | //  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_BERNOULLI_B2N_2013_05_30_HPP_ | ||
|  | #define _BOOST_BERNOULLI_B2N_2013_05_30_HPP_ | ||
|  | 
 | ||
|  | #include <boost/math/special_functions/math_fwd.hpp> | ||
|  | #include <boost/math/special_functions/detail/unchecked_bernoulli.hpp> | ||
|  | #include <boost/math/special_functions/detail/bernoulli_details.hpp> | ||
|  | 
 | ||
|  | namespace boost { namespace math {  | ||
|  |     | ||
|  | namespace detail { | ||
|  | 
 | ||
|  | template <class T, class OutputIterator, class Policy, int N> | ||
|  | OutputIterator bernoulli_number_imp(OutputIterator out, std::size_t start, std::size_t n, const Policy& pol, const mpl::int_<N>& tag) | ||
|  | { | ||
|  |    for(std::size_t i = start; (i <= max_bernoulli_b2n<T>::value) && (i < start + n); ++i) | ||
|  |    { | ||
|  |       *out = unchecked_bernoulli_imp<T>(i, tag); | ||
|  |       ++out; | ||
|  |    } | ||
|  |     | ||
|  |    for(std::size_t i = (std::max)(static_cast<std::size_t>(max_bernoulli_b2n<T>::value + 1), start); i < start + n; ++i) | ||
|  |    { | ||
|  |       // We must overflow: | ||
|  |       *out = (i & 1 ? 1 : -1) * policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(n)", 0, T(i), pol); | ||
|  |       ++out; | ||
|  |    } | ||
|  |    return out; | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class OutputIterator, class Policy> | ||
|  | OutputIterator bernoulli_number_imp(OutputIterator out, std::size_t start, std::size_t n, const Policy& pol, const mpl::int_<0>& tag) | ||
|  | { | ||
|  |    for(std::size_t i = start; (i <= max_bernoulli_b2n<T>::value) && (i < start + n); ++i) | ||
|  |    { | ||
|  |       *out = unchecked_bernoulli_imp<T>(i, tag); | ||
|  |       ++out; | ||
|  |    } | ||
|  |    // | ||
|  |    // Short circuit return so we don't grab the mutex below unless we have to: | ||
|  |    // | ||
|  |    if(start + n <= max_bernoulli_b2n<T>::value) | ||
|  |       return out; | ||
|  | 
 | ||
|  |    return get_bernoulli_numbers_cache<T, Policy>().copy_bernoulli_numbers(out, start, n, pol); | ||
|  | } | ||
|  | 
 | ||
|  | } // namespace detail | ||
|  | 
 | ||
|  | template <class T, class Policy> | ||
|  | inline T bernoulli_b2n(const int i, const Policy &pol) | ||
|  | { | ||
|  |    typedef mpl::int_<detail::bernoulli_imp_variant<T>::value> tag_type; | ||
|  |    if(i < 0) | ||
|  |       return policies::raise_domain_error<T>("boost::math::bernoulli_b2n<%1%>", "Index should be >= 0 but got %1%", T(i), pol); | ||
|  | 
 | ||
|  |    T result = static_cast<T>(0); // The = 0 is just to silence compiler warnings :-( | ||
|  |    boost::math::detail::bernoulli_number_imp<T>(&result, static_cast<std::size_t>(i), 1u, pol, tag_type()); | ||
|  |    return result; | ||
|  | } | ||
|  | 
 | ||
|  | template <class T> | ||
|  | inline T bernoulli_b2n(const int i) | ||
|  | { | ||
|  |    return boost::math::bernoulli_b2n<T>(i, policies::policy<>()); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class OutputIterator, class Policy> | ||
|  | inline OutputIterator bernoulli_b2n(const int start_index, | ||
|  |                                     const unsigned number_of_bernoullis_b2n, | ||
|  |                                     OutputIterator out_it, | ||
|  |                                     const Policy& pol) | ||
|  | { | ||
|  |    typedef mpl::int_<detail::bernoulli_imp_variant<T>::value> tag_type; | ||
|  |    if(start_index < 0) | ||
|  |    { | ||
|  |       *out_it = policies::raise_domain_error<T>("boost::math::bernoulli_b2n<%1%>", "Index should be >= 0 but got %1%", T(start_index), pol); | ||
|  |       return ++out_it; | ||
|  |    } | ||
|  | 
 | ||
|  |    return boost::math::detail::bernoulli_number_imp<T>(out_it, start_index, number_of_bernoullis_b2n, pol, tag_type()); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class OutputIterator> | ||
|  | inline OutputIterator bernoulli_b2n(const int start_index, | ||
|  |                                     const unsigned number_of_bernoullis_b2n, | ||
|  |                                     OutputIterator out_it) | ||
|  | { | ||
|  |    return boost::math::bernoulli_b2n<T, OutputIterator>(start_index, number_of_bernoullis_b2n, out_it, policies::policy<>()); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class Policy> | ||
|  | inline T tangent_t2n(const int i, const Policy &pol) | ||
|  | { | ||
|  |    if(i < 0) | ||
|  |       return policies::raise_domain_error<T>("boost::math::tangent_t2n<%1%>", "Index should be >= 0 but got %1%", T(i), pol); | ||
|  | 
 | ||
|  |    T result; | ||
|  |    boost::math::detail::get_bernoulli_numbers_cache<T, Policy>().copy_tangent_numbers(&result, i, 1, pol); | ||
|  |    return result; | ||
|  | } | ||
|  | 
 | ||
|  | template <class T> | ||
|  | inline T tangent_t2n(const int i) | ||
|  | { | ||
|  |    return boost::math::tangent_t2n<T>(i, policies::policy<>()); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class OutputIterator, class Policy> | ||
|  | inline OutputIterator tangent_t2n(const int start_index, | ||
|  |                                     const unsigned number_of_tangent_t2n, | ||
|  |                                     OutputIterator out_it, | ||
|  |                                     const Policy& pol) | ||
|  | { | ||
|  |    if(start_index < 0) | ||
|  |    { | ||
|  |       *out_it = policies::raise_domain_error<T>("boost::math::tangent_t2n<%1%>", "Index should be >= 0 but got %1%", T(start_index), pol); | ||
|  |       return ++out_it; | ||
|  |    } | ||
|  | 
 | ||
|  |    return boost::math::detail::get_bernoulli_numbers_cache<T, Policy>().copy_tangent_numbers(out_it, start_index, number_of_tangent_t2n, pol); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class OutputIterator> | ||
|  | inline OutputIterator tangent_t2n(const int start_index, | ||
|  |                                     const unsigned number_of_tangent_t2n, | ||
|  |                                     OutputIterator out_it) | ||
|  | { | ||
|  |    return boost::math::tangent_t2n<T, OutputIterator>(start_index, number_of_tangent_t2n, out_it, policies::policy<>()); | ||
|  | } | ||
|  | 
 | ||
|  | } } // namespace boost::math | ||
|  | 
 | ||
|  | #endif // _BOOST_BERNOULLI_B2N_2013_05_30_HPP_ |