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1
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2 ///////////////////////////////////////////////////////////////////////////////
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3 // Copyright 2013 Nikhar Agrawal
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4 // Copyright 2013 Christopher Kormanyos
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5 // Copyright 2013 John Maddock
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6 // Copyright 2013 Paul Bristow
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7 // Distributed under the Boost
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8 // Software License, Version 1.0. (See accompanying file
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9 // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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10
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11 #ifndef _BOOST_BERNOULLI_B2N_2013_05_30_HPP_
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12 #define _BOOST_BERNOULLI_B2N_2013_05_30_HPP_
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13
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14 #include <boost/math/special_functions/math_fwd.hpp>
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15 #include <boost/math/special_functions/detail/unchecked_bernoulli.hpp>
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16 #include <boost/math/special_functions/detail/bernoulli_details.hpp>
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17
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18 namespace boost { namespace math {
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19
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20 namespace detail {
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21
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22 template <class T, class OutputIterator, class Policy, int N>
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23 OutputIterator bernoulli_number_imp(OutputIterator out, std::size_t start, std::size_t n, const Policy& pol, const mpl::int_<N>& tag)
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24 {
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25 for(std::size_t i = start; (i <= max_bernoulli_b2n<T>::value) && (i < start + n); ++i)
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26 {
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27 *out = unchecked_bernoulli_imp<T>(i, tag);
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28 ++out;
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29 }
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30
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31 for(std::size_t i = (std::max)(static_cast<std::size_t>(max_bernoulli_b2n<T>::value + 1), start); i < start + n; ++i)
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32 {
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33 // We must overflow:
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34 *out = (i & 1 ? 1 : -1) * policies::raise_overflow_error<T>("boost::math::bernoulli_b2n<%1%>(n)", 0, T(i), pol);
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35 ++out;
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36 }
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37 return out;
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38 }
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39
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40 template <class T, class OutputIterator, class Policy>
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41 OutputIterator bernoulli_number_imp(OutputIterator out, std::size_t start, std::size_t n, const Policy& pol, const mpl::int_<0>& tag)
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42 {
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43 for(std::size_t i = start; (i <= max_bernoulli_b2n<T>::value) && (i < start + n); ++i)
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44 {
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45 *out = unchecked_bernoulli_imp<T>(i, tag);
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46 ++out;
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47 }
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48 //
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49 // Short circuit return so we don't grab the mutex below unless we have to:
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50 //
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51 if(start + n <= max_bernoulli_b2n<T>::value)
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52 return out;
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53
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54 return get_bernoulli_numbers_cache<T, Policy>().copy_bernoulli_numbers(out, start, n, pol);
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55 }
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56
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57 } // namespace detail
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58
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59 template <class T, class Policy>
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60 inline T bernoulli_b2n(const int i, const Policy &pol)
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61 {
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62 typedef mpl::int_<detail::bernoulli_imp_variant<T>::value> tag_type;
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63 if(i < 0)
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64 return policies::raise_domain_error<T>("boost::math::bernoulli_b2n<%1%>", "Index should be >= 0 but got %1%", T(i), pol);
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65
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66 T result = 0; // The = 0 is just to silence compiler warings :-(
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67 boost::math::detail::bernoulli_number_imp<T>(&result, static_cast<std::size_t>(i), 1u, pol, tag_type());
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68 return result;
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69 }
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70
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71 template <class T>
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72 inline T bernoulli_b2n(const int i)
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73 {
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74 return boost::math::bernoulli_b2n<T>(i, policies::policy<>());
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75 }
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76
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77 template <class T, class OutputIterator, class Policy>
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78 inline OutputIterator bernoulli_b2n(const int start_index,
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79 const unsigned number_of_bernoullis_b2n,
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80 OutputIterator out_it,
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81 const Policy& pol)
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82 {
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83 typedef mpl::int_<detail::bernoulli_imp_variant<T>::value> tag_type;
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84 if(start_index < 0)
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85 {
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86 *out_it = policies::raise_domain_error<T>("boost::math::bernoulli_b2n<%1%>", "Index should be >= 0 but got %1%", T(start_index), pol);
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87 return ++out_it;
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88 }
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89
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90 return boost::math::detail::bernoulli_number_imp<T>(out_it, start_index, number_of_bernoullis_b2n, pol, tag_type());
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91 }
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92
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93 template <class T, class OutputIterator>
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94 inline OutputIterator bernoulli_b2n(const int start_index,
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95 const unsigned number_of_bernoullis_b2n,
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96 OutputIterator out_it)
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97 {
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98 return boost::math::bernoulli_b2n<T, OutputIterator>(start_index, number_of_bernoullis_b2n, out_it, policies::policy<>());
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99 }
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100
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101 template <class T, class Policy>
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102 inline T tangent_t2n(const int i, const Policy &pol)
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103 {
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104 if(i < 0)
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105 return policies::raise_domain_error<T>("boost::math::tangent_t2n<%1%>", "Index should be >= 0 but got %1%", T(i), pol);
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106
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107 T result;
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108 boost::math::detail::get_bernoulli_numbers_cache<T, Policy>().copy_tangent_numbers(&result, i, 1, pol);
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109 return result;
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110 }
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111
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112 template <class T>
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113 inline T tangent_t2n(const int i)
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114 {
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115 return boost::math::tangent_t2n<T>(i, policies::policy<>());
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116 }
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117
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118 template <class T, class OutputIterator, class Policy>
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119 inline OutputIterator tangent_t2n(const int start_index,
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120 const unsigned number_of_tangent_t2n,
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121 OutputIterator out_it,
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122 const Policy& pol)
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123 {
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124 if(start_index < 0)
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125 {
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126 *out_it = policies::raise_domain_error<T>("boost::math::tangent_t2n<%1%>", "Index should be >= 0 but got %1%", T(start_index), pol);
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127 return ++out_it;
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128 }
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129
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130 return boost::math::detail::get_bernoulli_numbers_cache<T, Policy>().copy_tangent_numbers(out_it, start_index, number_of_tangent_t2n, pol);
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131 }
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132
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133 template <class T, class OutputIterator>
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134 inline OutputIterator tangent_t2n(const int start_index,
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135 const unsigned number_of_tangent_t2n,
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136 OutputIterator out_it)
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137 {
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138 return boost::math::tangent_t2n<T, OutputIterator>(start_index, number_of_tangent_t2n, out_it, policies::policy<>());
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139 }
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140
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141 } } // namespace boost::math
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142
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143 #endif // _BOOST_BERNOULLI_B2N_2013_05_30_HPP_
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