[857] | 1 | /* Boost interval/rounded_transc.hpp template implementation file
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| 2 | *
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| 3 | * Copyright 2002-2003 Hervé Brönnimann, Guillaume Melquiond, Sylvain Pion
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| 4 | *
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| 5 | * Distributed under the Boost Software License, Version 1.0.
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| 6 | * (See accompanying file LICENSE_1_0.txt or
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| 7 | * copy at http://www.boost.org/LICENSE_1_0.txt)
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| 8 | */
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| 9 |
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| 10 | #ifndef BOOST_NUMERIC_INTERVAL_ROUNDED_TRANSC_HPP
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| 11 | #define BOOST_NUMERIC_INTERVAL_ROUNDED_TRANSC_HPP
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| 12 |
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| 13 | #include <boost/numeric/interval/rounding.hpp>
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| 14 | #include <boost/numeric/interval/detail/bugs.hpp>
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| 15 | #include <cmath>
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| 16 |
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| 17 | namespace boost {
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| 18 | namespace numeric {
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| 19 | namespace interval_lib {
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| 20 |
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| 21 | template<class T, class Rounding>
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| 22 | struct rounded_transc_exact: Rounding
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| 23 | {
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| 24 | # define BOOST_NUMERIC_INTERVAL_new_func(f) \
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| 25 | T f##_down(const T& x) { BOOST_NUMERIC_INTERVAL_using_math(f); return f(x); } \
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| 26 | T f##_up (const T& x) { BOOST_NUMERIC_INTERVAL_using_math(f); return f(x); }
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| 27 | BOOST_NUMERIC_INTERVAL_new_func(exp)
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| 28 | BOOST_NUMERIC_INTERVAL_new_func(log)
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| 29 | BOOST_NUMERIC_INTERVAL_new_func(sin)
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| 30 | BOOST_NUMERIC_INTERVAL_new_func(cos)
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| 31 | BOOST_NUMERIC_INTERVAL_new_func(tan)
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| 32 | BOOST_NUMERIC_INTERVAL_new_func(asin)
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| 33 | BOOST_NUMERIC_INTERVAL_new_func(acos)
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| 34 | BOOST_NUMERIC_INTERVAL_new_func(atan)
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| 35 | BOOST_NUMERIC_INTERVAL_new_func(sinh)
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| 36 | BOOST_NUMERIC_INTERVAL_new_func(cosh)
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| 37 | BOOST_NUMERIC_INTERVAL_new_func(tanh)
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| 38 | # undef BOOST_NUMERIC_INTERVAL_new_func
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| 39 | # define BOOST_NUMERIC_INTERVAL_new_func(f) \
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| 40 | T f##_down(const T& x) { BOOST_NUMERIC_INTERVAL_using_ahyp(f); return f(x); } \
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| 41 | T f##_up (const T& x) { BOOST_NUMERIC_INTERVAL_using_ahyp(f); return f(x); }
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| 42 | BOOST_NUMERIC_INTERVAL_new_func(asinh)
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| 43 | BOOST_NUMERIC_INTERVAL_new_func(acosh)
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| 44 | BOOST_NUMERIC_INTERVAL_new_func(atanh)
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| 45 | # undef BOOST_NUMERIC_INTERVAL_new_func
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| 46 | };
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| 47 |
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| 48 | template<class T, class Rounding>
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| 49 | struct rounded_transc_std: Rounding
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| 50 | {
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| 51 | # define BOOST_NUMERIC_INTERVAL_new_func(f) \
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| 52 | T f##_down(const T& x) \
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| 53 | { BOOST_NUMERIC_INTERVAL_using_math(f); \
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| 54 | this->downward(); return this->force_rounding(f(x)); } \
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| 55 | T f##_up (const T& x) \
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| 56 | { BOOST_NUMERIC_INTERVAL_using_math(f); \
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| 57 | this->upward(); return this->force_rounding(f(x)); }
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| 58 | BOOST_NUMERIC_INTERVAL_new_func(exp)
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| 59 | BOOST_NUMERIC_INTERVAL_new_func(log)
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| 60 | BOOST_NUMERIC_INTERVAL_new_func(sin)
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| 61 | BOOST_NUMERIC_INTERVAL_new_func(cos)
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| 62 | BOOST_NUMERIC_INTERVAL_new_func(tan)
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| 63 | BOOST_NUMERIC_INTERVAL_new_func(asin)
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| 64 | BOOST_NUMERIC_INTERVAL_new_func(acos)
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| 65 | BOOST_NUMERIC_INTERVAL_new_func(atan)
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| 66 | BOOST_NUMERIC_INTERVAL_new_func(sinh)
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| 67 | BOOST_NUMERIC_INTERVAL_new_func(cosh)
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| 68 | BOOST_NUMERIC_INTERVAL_new_func(tanh)
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| 69 | # undef BOOST_NUMERIC_INTERVAL_new_func
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| 70 | # define BOOST_NUMERIC_INTERVAL_new_func(f) \
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| 71 | T f##_down(const T& x) \
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| 72 | { BOOST_NUMERIC_INTERVAL_using_ahyp(f); \
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| 73 | this->downward(); return this->force_rounding(f(x)); } \
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| 74 | T f##_up (const T& x) \
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| 75 | { BOOST_NUMERIC_INTERVAL_using_ahyp(f); \
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| 76 | this->upward(); return this->force_rounding(f(x)); }
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| 77 | BOOST_NUMERIC_INTERVAL_new_func(asinh)
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| 78 | BOOST_NUMERIC_INTERVAL_new_func(acosh)
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| 79 | BOOST_NUMERIC_INTERVAL_new_func(atanh)
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| 80 | # undef BOOST_NUMERIC_INTERVAL_new_func
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| 81 | };
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| 82 |
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| 83 | template<class T, class Rounding>
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| 84 | struct rounded_transc_opp: Rounding
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| 85 | {
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| 86 | # define BOOST_NUMERIC_INTERVAL_new_func(f) \
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| 87 | T f##_down(const T& x) \
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| 88 | { BOOST_NUMERIC_INTERVAL_using_math(f); \
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| 89 | this->downward(); T y = this->force_rounding(f(x)); \
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| 90 | this->upward(); return y; } \
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| 91 | T f##_up (const T& x) \
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| 92 | { BOOST_NUMERIC_INTERVAL_using_math(f); \
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| 93 | return this->force_rounding(f(x)); }
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| 94 | BOOST_NUMERIC_INTERVAL_new_func(exp)
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| 95 | BOOST_NUMERIC_INTERVAL_new_func(log)
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| 96 | BOOST_NUMERIC_INTERVAL_new_func(cos)
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| 97 | BOOST_NUMERIC_INTERVAL_new_func(acos)
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| 98 | BOOST_NUMERIC_INTERVAL_new_func(cosh)
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| 99 | # undef BOOST_NUMERIC_INTERVAL_new_func
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| 100 | # define BOOST_NUMERIC_INTERVAL_new_func(f) \
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| 101 | T f##_down(const T& x) \
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| 102 | { BOOST_NUMERIC_INTERVAL_using_math(f); \
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| 103 | return -this->force_rounding(-f(x)); } \
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| 104 | T f##_up (const T& x) \
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| 105 | { BOOST_NUMERIC_INTERVAL_using_math(f); \
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| 106 | return this->force_rounding(f(x)); }
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| 107 | BOOST_NUMERIC_INTERVAL_new_func(sin)
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| 108 | BOOST_NUMERIC_INTERVAL_new_func(tan)
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| 109 | BOOST_NUMERIC_INTERVAL_new_func(asin)
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| 110 | BOOST_NUMERIC_INTERVAL_new_func(atan)
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| 111 | BOOST_NUMERIC_INTERVAL_new_func(sinh)
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| 112 | BOOST_NUMERIC_INTERVAL_new_func(tanh)
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| 113 | # undef BOOST_NUMERIC_INTERVAL_new_func
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| 114 | # define BOOST_NUMERIC_INTERVAL_new_func(f) \
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| 115 | T f##_down(const T& x) \
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| 116 | { BOOST_NUMERIC_INTERVAL_using_ahyp(f); \
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| 117 | this->downward(); T y = this->force_rounding(f(x)); \
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| 118 | this->upward(); return y; } \
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| 119 | T f##_up (const T& x) \
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| 120 | { BOOST_NUMERIC_INTERVAL_using_ahyp(f); \
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| 121 | return this->force_rounding(f(x)); }
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| 122 | BOOST_NUMERIC_INTERVAL_new_func(asinh)
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| 123 | BOOST_NUMERIC_INTERVAL_new_func(atanh)
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| 124 | # undef BOOST_NUMERIC_INTERVAL_new_func
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| 125 | # define BOOST_NUMERIC_INTERVAL_new_func(f) \
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| 126 | T f##_down(const T& x) \
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| 127 | { BOOST_NUMERIC_INTERVAL_using_ahyp(f); \
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| 128 | return -this->force_rounding(-f(x)); } \
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| 129 | T f##_up (const T& x) \
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| 130 | { BOOST_NUMERIC_INTERVAL_using_ahyp(f); \
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| 131 | return this->force_rounding(f(x)); }
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| 132 | BOOST_NUMERIC_INTERVAL_new_func(acosh)
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| 133 | # undef BOOST_NUMERIC_INTERVAL_new_func
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| 134 | };
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| 135 |
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| 136 | } // namespace interval_lib
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| 137 | } // namespace numeric
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| 138 | } // namespace boost
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| 139 |
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| 140 | #endif // BOOST_NUMERIC_INTERVAL_ROUNDED_TRANSC_HPP
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