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1 // Copyright John Maddock 2007.
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2 // Use, modification and distribution are subject to the
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3 // Boost Software License, Version 1.0. (See accompanying file
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4 // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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5
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6 #ifndef BOOST_MATH_ROUND_HPP
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7 #define BOOST_MATH_ROUND_HPP
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8
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9 #ifdef _MSC_VER
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10 #pragma once
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11 #endif
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12
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13 #include <boost/math/tools/config.hpp>
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14 #include <boost/math/policies/error_handling.hpp>
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15 #include <boost/math/special_functions/math_fwd.hpp>
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16 #include <boost/math/special_functions/fpclassify.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 Policy>
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23 inline typename tools::promote_args<T>::type round(const T& v, const Policy& pol, const mpl::false_)
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24 {
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25 BOOST_MATH_STD_USING
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26 typedef typename tools::promote_args<T>::type result_type;
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27 if(!(boost::math::isfinite)(v))
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28 return policies::raise_rounding_error("boost::math::round<%1%>(%1%)", 0, static_cast<result_type>(v), static_cast<result_type>(v), pol);
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29 //
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30 // The logic here is rather convoluted, but avoids a number of traps,
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31 // see discussion here https://github.com/boostorg/math/pull/8
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32 //
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33 if (-0.5 < v && v < 0.5)
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34 {
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35 // special case to avoid rounding error on the direct
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36 // predecessor of +0.5 resp. the direct successor of -0.5 in
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37 // IEEE floating point types
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38 return 0;
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39 }
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40 else if (v > 0)
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41 {
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42 // subtract v from ceil(v) first in order to avoid rounding
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43 // errors on largest representable integer numbers
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44 result_type c(ceil(v));
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45 return 0.5 < c - v ? c - 1 : c;
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46 }
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47 else
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48 {
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49 // see former branch
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50 result_type f(floor(v));
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51 return 0.5 < v - f ? f + 1 : f;
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52 }
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53 }
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54 template <class T, class Policy>
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55 inline typename tools::promote_args<T>::type round(const T& v, const Policy&, const mpl::true_)
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56 {
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57 return v;
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58 }
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59
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60 } // namespace detail
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61
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62 template <class T, class Policy>
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63 inline typename tools::promote_args<T>::type round(const T& v, const Policy& pol)
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64 {
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65 return detail::round(v, pol, mpl::bool_<detail::is_integer_for_rounding<T>::value>());
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66 }
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67 template <class T>
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68 inline typename tools::promote_args<T>::type round(const T& v)
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69 {
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70 return round(v, policies::policy<>());
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71 }
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72 //
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73 // The following functions will not compile unless T has an
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74 // implicit convertion to the integer types. For user-defined
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75 // number types this will likely not be the case. In that case
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76 // these functions should either be specialized for the UDT in
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77 // question, or else overloads should be placed in the same
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78 // namespace as the UDT: these will then be found via argument
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79 // dependent lookup. See our concept archetypes for examples.
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80 //
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81 template <class T, class Policy>
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82 inline int iround(const T& v, const Policy& pol)
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83 {
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84 BOOST_MATH_STD_USING
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85 T r = boost::math::round(v, pol);
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86 if((r > (std::numeric_limits<int>::max)()) || (r < (std::numeric_limits<int>::min)()))
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87 return static_cast<int>(policies::raise_rounding_error("boost::math::iround<%1%>(%1%)", 0, v, 0, pol));
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88 return static_cast<int>(r);
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89 }
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90 template <class T>
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91 inline int iround(const T& v)
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92 {
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93 return iround(v, policies::policy<>());
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94 }
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95
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96 template <class T, class Policy>
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97 inline long lround(const T& v, const Policy& pol)
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98 {
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99 BOOST_MATH_STD_USING
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100 T r = boost::math::round(v, pol);
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101 if((r > (std::numeric_limits<long>::max)()) || (r < (std::numeric_limits<long>::min)()))
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102 return static_cast<long int>(policies::raise_rounding_error("boost::math::lround<%1%>(%1%)", 0, v, 0L, pol));
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103 return static_cast<long int>(r);
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104 }
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105 template <class T>
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106 inline long lround(const T& v)
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107 {
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108 return lround(v, policies::policy<>());
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109 }
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110
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111 #ifdef BOOST_HAS_LONG_LONG
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112
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113 template <class T, class Policy>
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114 inline boost::long_long_type llround(const T& v, const Policy& pol)
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115 {
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116 BOOST_MATH_STD_USING
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117 T r = boost::math::round(v, pol);
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118 if((r > (std::numeric_limits<boost::long_long_type>::max)()) || (r < (std::numeric_limits<boost::long_long_type>::min)()))
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119 return static_cast<boost::long_long_type>(policies::raise_rounding_error("boost::math::llround<%1%>(%1%)", 0, v, static_cast<boost::long_long_type>(0), pol));
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120 return static_cast<boost::long_long_type>(r);
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121 }
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122 template <class T>
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123 inline boost::long_long_type llround(const T& v)
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124 {
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125 return llround(v, policies::policy<>());
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126 }
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127
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128 #endif
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129
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130 }} // namespaces
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131
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132 #endif // BOOST_MATH_ROUND_HPP
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