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1 // Copyright John Maddock 2006.
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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 // std_real_concept is an archetype for built-in Real types.
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7
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8 // The main purpose in providing this type is to verify
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9 // that std lib functions are found via a using declaration
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10 // bringing those functions into the current scope, and not
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11 // just because they happen to be in global scope.
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12 //
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13 // If ::pow is found rather than std::pow say, then the code
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14 // will silently compile, but truncation of long doubles to
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15 // double will cause a significant loss of precision.
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16 // A template instantiated with std_real_concept will *only*
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17 // compile if it std::whatever is in scope.
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18
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19 #include <boost/config.hpp>
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20 #include <boost/limits.hpp>
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21 #include <boost/math/policies/policy.hpp>
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22 #include <boost/math/special_functions/math_fwd.hpp>
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23
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24 #include <ostream>
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25 #include <istream>
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26 #include <boost/config/no_tr1/cmath.hpp>
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27 #include <math.h> // fmodl
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28
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29 #ifndef BOOST_MATH_STD_REAL_CONCEPT_HPP
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30 #define BOOST_MATH_STD_REAL_CONCEPT_HPP
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31
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32 namespace boost{ namespace math{
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33
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34 namespace concepts
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35 {
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36
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37 #ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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38 typedef double std_real_concept_base_type;
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39 #else
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40 typedef long double std_real_concept_base_type;
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41 #endif
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42
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43 class std_real_concept
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44 {
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45 public:
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46 // Constructors:
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47 std_real_concept() : m_value(0){}
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48 std_real_concept(char c) : m_value(c){}
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49 #ifndef BOOST_NO_INTRINSIC_WCHAR_T
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50 std_real_concept(wchar_t c) : m_value(c){}
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51 #endif
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52 std_real_concept(unsigned char c) : m_value(c){}
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53 std_real_concept(signed char c) : m_value(c){}
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54 std_real_concept(unsigned short c) : m_value(c){}
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55 std_real_concept(short c) : m_value(c){}
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56 std_real_concept(unsigned int c) : m_value(c){}
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57 std_real_concept(int c) : m_value(c){}
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58 std_real_concept(unsigned long c) : m_value(c){}
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59 std_real_concept(long c) : m_value(c){}
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60 #if defined(__DECCXX) || defined(__SUNPRO_CC)
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61 std_real_concept(unsigned long long c) : m_value(static_cast<std_real_concept_base_type>(c)){}
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62 std_real_concept(long long c) : m_value(static_cast<std_real_concept_base_type>(c)){}
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63 #elif defined(BOOST_HAS_LONG_LONG)
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64 std_real_concept(boost::ulong_long_type c) : m_value(static_cast<std_real_concept_base_type>(c)){}
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65 std_real_concept(boost::long_long_type c) : m_value(static_cast<std_real_concept_base_type>(c)){}
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66 #endif
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67 std_real_concept(float c) : m_value(c){}
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68 std_real_concept(double c) : m_value(c){}
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69 std_real_concept(long double c) : m_value(c){}
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70 #ifdef BOOST_MATH_USE_FLOAT128
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71 std_real_concept(BOOST_MATH_FLOAT128_TYPE c) : m_value(c){}
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72 #endif
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73
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74 // Assignment:
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75 std_real_concept& operator=(char c) { m_value = c; return *this; }
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76 std_real_concept& operator=(unsigned char c) { m_value = c; return *this; }
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77 std_real_concept& operator=(signed char c) { m_value = c; return *this; }
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78 #ifndef BOOST_NO_INTRINSIC_WCHAR_T
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79 std_real_concept& operator=(wchar_t c) { m_value = c; return *this; }
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80 #endif
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81 std_real_concept& operator=(short c) { m_value = c; return *this; }
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82 std_real_concept& operator=(unsigned short c) { m_value = c; return *this; }
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83 std_real_concept& operator=(int c) { m_value = c; return *this; }
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84 std_real_concept& operator=(unsigned int c) { m_value = c; return *this; }
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85 std_real_concept& operator=(long c) { m_value = c; return *this; }
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86 std_real_concept& operator=(unsigned long c) { m_value = c; return *this; }
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87 #if defined(__DECCXX) || defined(__SUNPRO_CC)
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88 std_real_concept& operator=(unsigned long long c) { m_value = static_cast<std_real_concept_base_type>(c); return *this; }
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89 std_real_concept& operator=(long long c) { m_value = static_cast<std_real_concept_base_type>(c); return *this; }
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90 #elif defined(BOOST_HAS_LONG_LONG)
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91 std_real_concept& operator=(boost::long_long_type c) { m_value = static_cast<std_real_concept_base_type>(c); return *this; }
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92 std_real_concept& operator=(boost::ulong_long_type c) { m_value = static_cast<std_real_concept_base_type>(c); return *this; }
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93 #endif
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94 std_real_concept& operator=(float c) { m_value = c; return *this; }
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95 std_real_concept& operator=(double c) { m_value = c; return *this; }
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96 std_real_concept& operator=(long double c) { m_value = c; return *this; }
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97
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98 // Access:
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99 std_real_concept_base_type value()const{ return m_value; }
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100
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101 // Member arithmetic:
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102 std_real_concept& operator+=(const std_real_concept& other)
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103 { m_value += other.value(); return *this; }
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104 std_real_concept& operator-=(const std_real_concept& other)
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105 { m_value -= other.value(); return *this; }
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106 std_real_concept& operator*=(const std_real_concept& other)
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107 { m_value *= other.value(); return *this; }
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108 std_real_concept& operator/=(const std_real_concept& other)
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109 { m_value /= other.value(); return *this; }
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110 std_real_concept operator-()const
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111 { return -m_value; }
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112 std_real_concept const& operator+()const
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113 { return *this; }
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114
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115 private:
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116 std_real_concept_base_type m_value;
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117 };
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118
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119 // Non-member arithmetic:
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120 inline std_real_concept operator+(const std_real_concept& a, const std_real_concept& b)
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121 {
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122 std_real_concept result(a);
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123 result += b;
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124 return result;
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125 }
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126 inline std_real_concept operator-(const std_real_concept& a, const std_real_concept& b)
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127 {
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128 std_real_concept result(a);
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129 result -= b;
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130 return result;
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131 }
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132 inline std_real_concept operator*(const std_real_concept& a, const std_real_concept& b)
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133 {
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134 std_real_concept result(a);
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135 result *= b;
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136 return result;
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137 }
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138 inline std_real_concept operator/(const std_real_concept& a, const std_real_concept& b)
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139 {
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140 std_real_concept result(a);
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141 result /= b;
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142 return result;
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143 }
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144
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145 // Comparison:
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146 inline bool operator == (const std_real_concept& a, const std_real_concept& b)
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147 { return a.value() == b.value(); }
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148 inline bool operator != (const std_real_concept& a, const std_real_concept& b)
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149 { return a.value() != b.value();}
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150 inline bool operator < (const std_real_concept& a, const std_real_concept& b)
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151 { return a.value() < b.value(); }
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152 inline bool operator <= (const std_real_concept& a, const std_real_concept& b)
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153 { return a.value() <= b.value(); }
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154 inline bool operator > (const std_real_concept& a, const std_real_concept& b)
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155 { return a.value() > b.value(); }
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156 inline bool operator >= (const std_real_concept& a, const std_real_concept& b)
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157 { return a.value() >= b.value(); }
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158
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159 } // namespace concepts
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160 } // namespace math
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161 } // namespace boost
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162
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163 namespace std{
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164
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165 // Non-member functions:
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166 inline boost::math::concepts::std_real_concept acos(boost::math::concepts::std_real_concept a)
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167 { return std::acos(a.value()); }
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168 inline boost::math::concepts::std_real_concept cos(boost::math::concepts::std_real_concept a)
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169 { return std::cos(a.value()); }
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170 inline boost::math::concepts::std_real_concept asin(boost::math::concepts::std_real_concept a)
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171 { return std::asin(a.value()); }
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172 inline boost::math::concepts::std_real_concept atan(boost::math::concepts::std_real_concept a)
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173 { return std::atan(a.value()); }
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174 inline boost::math::concepts::std_real_concept atan2(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept b)
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175 { return std::atan2(a.value(), b.value()); }
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176 inline boost::math::concepts::std_real_concept ceil(boost::math::concepts::std_real_concept a)
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177 { return std::ceil(a.value()); }
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178 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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179 inline boost::math::concepts::std_real_concept fmod(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept b)
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180 { return fmodl(a.value(), b.value()); }
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181 #else
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182 inline boost::math::concepts::std_real_concept fmod(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept b)
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183 { return std::fmod(a.value(), b.value()); }
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184 #endif
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185 inline boost::math::concepts::std_real_concept cosh(boost::math::concepts::std_real_concept a)
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186 { return std::cosh(a.value()); }
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187 inline boost::math::concepts::std_real_concept exp(boost::math::concepts::std_real_concept a)
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188 { return std::exp(a.value()); }
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189 inline boost::math::concepts::std_real_concept fabs(boost::math::concepts::std_real_concept a)
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190 { return std::fabs(a.value()); }
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191 inline boost::math::concepts::std_real_concept abs(boost::math::concepts::std_real_concept a)
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192 { return std::abs(a.value()); }
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193 inline boost::math::concepts::std_real_concept floor(boost::math::concepts::std_real_concept a)
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194 { return std::floor(a.value()); }
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195 inline boost::math::concepts::std_real_concept modf(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept* ipart)
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196 {
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197 boost::math::concepts::std_real_concept_base_type ip;
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198 boost::math::concepts::std_real_concept_base_type result = std::modf(a.value(), &ip);
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199 *ipart = ip;
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200 return result;
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201 }
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202 inline boost::math::concepts::std_real_concept frexp(boost::math::concepts::std_real_concept a, int* expon)
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203 { return std::frexp(a.value(), expon); }
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204 inline boost::math::concepts::std_real_concept ldexp(boost::math::concepts::std_real_concept a, int expon)
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205 { return std::ldexp(a.value(), expon); }
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206 inline boost::math::concepts::std_real_concept log(boost::math::concepts::std_real_concept a)
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207 { return std::log(a.value()); }
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208 inline boost::math::concepts::std_real_concept log10(boost::math::concepts::std_real_concept a)
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209 { return std::log10(a.value()); }
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210 inline boost::math::concepts::std_real_concept tan(boost::math::concepts::std_real_concept a)
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211 { return std::tan(a.value()); }
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212 inline boost::math::concepts::std_real_concept pow(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept b)
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213 { return std::pow(a.value(), b.value()); }
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214 #if !defined(__SUNPRO_CC)
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215 inline boost::math::concepts::std_real_concept pow(boost::math::concepts::std_real_concept a, int b)
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216 { return std::pow(a.value(), b); }
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217 #else
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218 inline boost::math::concepts::std_real_concept pow(boost::math::concepts::std_real_concept a, int b)
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219 { return std::pow(a.value(), static_cast<long double>(b)); }
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220 #endif
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221 inline boost::math::concepts::std_real_concept sin(boost::math::concepts::std_real_concept a)
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222 { return std::sin(a.value()); }
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223 inline boost::math::concepts::std_real_concept sinh(boost::math::concepts::std_real_concept a)
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224 { return std::sinh(a.value()); }
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225 inline boost::math::concepts::std_real_concept sqrt(boost::math::concepts::std_real_concept a)
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226 { return std::sqrt(a.value()); }
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227 inline boost::math::concepts::std_real_concept tanh(boost::math::concepts::std_real_concept a)
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228 { return std::tanh(a.value()); }
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229
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230 } // namespace std
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231
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232 #include <boost/math/special_functions/round.hpp>
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233 #include <boost/math/special_functions/trunc.hpp>
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234 #include <boost/math/special_functions/modf.hpp>
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235 #include <boost/math/tools/precision.hpp>
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236
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237 namespace boost{ namespace math{ namespace concepts{
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238
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239 //
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240 // Conversion and truncation routines:
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241 //
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242 template <class Policy>
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243 inline int iround(const concepts::std_real_concept& v, const Policy& pol)
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244 {
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245 return boost::math::iround(v.value(), pol);
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246 }
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247 inline int iround(const concepts::std_real_concept& v)
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248 {
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249 return boost::math::iround(v.value(), policies::policy<>());
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250 }
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251
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252 template <class Policy>
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253 inline long lround(const concepts::std_real_concept& v, const Policy& pol)
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254 {
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255 return boost::math::lround(v.value(), pol);
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256 }
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257 inline long lround(const concepts::std_real_concept& v)
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258 {
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259 return boost::math::lround(v.value(), policies::policy<>());
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260 }
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261
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262 #ifdef BOOST_HAS_LONG_LONG
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263
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264 template <class Policy>
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265 inline boost::long_long_type llround(const concepts::std_real_concept& v, const Policy& pol)
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266 {
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267 return boost::math::llround(v.value(), pol);
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268 }
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269 inline boost::long_long_type llround(const concepts::std_real_concept& v)
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270 {
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271 return boost::math::llround(v.value(), policies::policy<>());
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272 }
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273
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274 #endif
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275
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276 template <class Policy>
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277 inline int itrunc(const concepts::std_real_concept& v, const Policy& pol)
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278 {
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279 return boost::math::itrunc(v.value(), pol);
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280 }
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281 inline int itrunc(const concepts::std_real_concept& v)
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282 {
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283 return boost::math::itrunc(v.value(), policies::policy<>());
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284 }
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285
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286 template <class Policy>
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287 inline long ltrunc(const concepts::std_real_concept& v, const Policy& pol)
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288 {
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289 return boost::math::ltrunc(v.value(), pol);
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290 }
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291 inline long ltrunc(const concepts::std_real_concept& v)
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292 {
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293 return boost::math::ltrunc(v.value(), policies::policy<>());
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294 }
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295
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296 #ifdef BOOST_HAS_LONG_LONG
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297
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298 template <class Policy>
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299 inline boost::long_long_type lltrunc(const concepts::std_real_concept& v, const Policy& pol)
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300 {
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301 return boost::math::lltrunc(v.value(), pol);
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302 }
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303 inline boost::long_long_type lltrunc(const concepts::std_real_concept& v)
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304 {
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305 return boost::math::lltrunc(v.value(), policies::policy<>());
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306 }
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307
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308 #endif
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309
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310 // Streaming:
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311 template <class charT, class traits>
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312 inline std::basic_ostream<charT, traits>& operator<<(std::basic_ostream<charT, traits>& os, const std_real_concept& a)
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313 {
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314 return os << a.value();
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315 }
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316 template <class charT, class traits>
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317 inline std::basic_istream<charT, traits>& operator>>(std::basic_istream<charT, traits>& is, std_real_concept& a)
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318 {
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319 #if defined(__SGI_STL_PORT) || defined(_RWSTD_VER) || defined(__LIBCOMO__) || defined(_LIBCPP_VERSION)
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320 std::string s;
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321 std_real_concept_base_type d;
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322 is >> s;
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323 std::sscanf(s.c_str(), "%Lf", &d);
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324 a = d;
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325 return is;
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326 #else
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327 std_real_concept_base_type v;
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328 is >> v;
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329 a = v;
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330 return is;
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331 #endif
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332 }
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333
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334 } // namespace concepts
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335 }}
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336
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337 #include <boost/math/tools/precision.hpp>
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338 #include <boost/math/tools/big_constant.hpp>
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339
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340 namespace boost{ namespace math{
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341 namespace tools
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342 {
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343
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344 template <>
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345 inline concepts::std_real_concept make_big_value<concepts::std_real_concept>(boost::math::tools::largest_float val, const char*, mpl::false_ const&, mpl::false_ const&)
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346 {
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347 return val; // Can't use lexical_cast here, sometimes it fails....
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348 }
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349
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350 template <>
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351 inline concepts::std_real_concept max_value<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
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352 {
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353 return max_value<concepts::std_real_concept_base_type>();
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354 }
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355
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356 template <>
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357 inline concepts::std_real_concept min_value<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
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358 {
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359 return min_value<concepts::std_real_concept_base_type>();
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360 }
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361
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362 template <>
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363 inline concepts::std_real_concept log_max_value<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
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364 {
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365 return log_max_value<concepts::std_real_concept_base_type>();
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366 }
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367
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368 template <>
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369 inline concepts::std_real_concept log_min_value<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
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370 {
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371 return log_min_value<concepts::std_real_concept_base_type>();
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372 }
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373
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374 template <>
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375 inline concepts::std_real_concept epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
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376 {
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377 return tools::epsilon<concepts::std_real_concept_base_type>();
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378 }
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379
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380 template <>
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381 inline int digits<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
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382 { // Assume number of significand bits is same as std_real_concept_base_type,
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383 // unless std::numeric_limits<T>::is_specialized to provide digits.
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384 return digits<concepts::std_real_concept_base_type>();
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385 }
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386
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387 } // namespace tools
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388
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389 #if BOOST_WORKAROUND(BOOST_MSVC, <= 1310)
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390 using concepts::itrunc;
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391 using concepts::ltrunc;
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392 using concepts::lltrunc;
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393 using concepts::iround;
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394 using concepts::lround;
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395 using concepts::llround;
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396 #endif
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397
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398 } // namespace math
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399 } // namespace boost
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400
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401 #endif // BOOST_MATH_STD_REAL_CONCEPT_HPP
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402
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403
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404
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405
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