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1 // (C) Copyright John Maddock 2005.
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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_TR1_COMPLEX_HPP_INCLUDED
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7 # define BOOST_TR1_COMPLEX_HPP_INCLUDED
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8 # include <boost/tr1/detail/config.hpp>
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9 # include <complex>
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10
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11 #ifndef BOOST_HAS_TR1_COMPLEX_INVERSE_TRIG
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12
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13 #include <boost/math/complex.hpp>
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14
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15 namespace std {
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16 namespace tr1 {
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17
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18 using boost::math::acos;
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19 using boost::math::asin;
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20 using boost::math::atan;
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21 using boost::math::acosh;
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22 using boost::math::asinh;
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23 using boost::math::atanh;
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24 using boost::math::fabs;
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25
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26 } }
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27
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28 #else
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29
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30 # if defined(BOOST_HAS_INCLUDE_NEXT) && !defined(BOOST_TR1_DISABLE_INCLUDE_NEXT)
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31 # include_next BOOST_TR1_HEADER(complex)
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32 # else
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33 # include <boost/tr1/detail/config_all.hpp>
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34 # include BOOST_TR1_STD_HEADER(BOOST_TR1_PATH(complex))
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35 # endif
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36
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37 #endif
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38
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39 #ifndef BOOST_HAS_TR1_COMPLEX_OVERLOADS
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40
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41 #include <boost/tr1/detail/math_overloads.hpp>
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42 #include <boost/assert.hpp>
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43 #include <boost/detail/workaround.hpp>
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44 #include <boost/config/no_tr1/cmath.hpp>
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45
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46 namespace std{
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47
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48 #ifdef BOOST_NO_STDC_NAMESPACE
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49 using :: atan2;
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50 #endif
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51
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52 #ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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53 template <class T>
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54 inline BOOST_TR1_MATH_RETURN(double) arg(const T& t)
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55 {
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56 return ::std::atan2(0.0, static_cast<double>(t));
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57 }
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58 #else
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59 inline double arg(const double& t)
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60 {
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61 return ::std::atan2(0.0, t);
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62 }
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63 #endif
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64 inline long double arg(const long double& t)
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65 {
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66 return ::std::atan2(0.0L, static_cast<long double>(t));
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67 }
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68 inline float arg(const float& t)
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69 {
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70 return ::std::atan2(0.0F, static_cast<float>(t));
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71 }
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72
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73 #ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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74 template <class T>
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75 inline BOOST_TR1_MATH_RETURN(double) norm(const T& t)
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76 {
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77 double r = static_cast<double>(t);
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78 return r*r;
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79 }
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80 #else
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81 inline double norm(const double& t)
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82 {
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83 return t*t;
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84 }
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85 #endif
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86 inline long double norm(const long double& t)
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87 {
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88 long double l = t;
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89 return l*l;
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90 }
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91 inline float norm(const float& t)
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92 {
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93 float f = t;
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94 return f*f;
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95 }
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96
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97 #ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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98 template <class T>
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99 inline BOOST_TR1_MATH_RETURN(std::complex<double>) conj(const T& t)
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100 {
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101 return ::std::conj(std::complex<double>(static_cast<double>(t)));
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102 }
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103 #else
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104 inline std::complex<double> conj(const double& t)
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105 {
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106 return ::std::conj(std::complex<double>(t));
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107 }
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108 #endif
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109 inline std::complex<long double> conj(const long double& t)
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110 {
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111 return ::std::conj(std::complex<long double>(t));
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112 }
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113 inline std::complex<float> conj(const float& t)
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114 {
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115 std::complex<float> ct(t);
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116 ct = ::std::conj(ct);
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117 return ct;
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118 }
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119
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120 #if !BOOST_WORKAROUND(__BORLANDC__, <=0x570)
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121 inline complex<double> polar(const char& rho, const char& theta = 0)
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122 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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123 inline complex<double> polar(const unsigned char& rho, const unsigned char& theta = 0)
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124 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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125 inline complex<double> polar(const signed char& rho, const signed char& theta = 0)
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126 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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127 inline complex<double> polar(const short& rho, const short& theta = 0)
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128 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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129 inline complex<double> polar(const unsigned short& rho, const unsigned short& theta = 0)
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130 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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131 inline complex<double> polar(const int& rho, const int& theta = 0)
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132 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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133 inline complex<double> polar(const unsigned int& rho, const unsigned int& theta = 0)
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134 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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135 inline complex<double> polar(const long& rho, const long& theta = 0)
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136 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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137 inline complex<double> polar(const unsigned long& rho, const unsigned long& theta = 0)
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138 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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139 #ifdef BOOST_HAS_LONG_LONG
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140 inline complex<double> polar(const long long& rho, const long long& theta = 0)
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141 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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142 inline complex<double> polar(const unsigned long long& rho, const unsigned long long& theta = 0)
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143 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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144 #elif defined(BOOST_HAS_MS_INT64)
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145 inline complex<double> polar(const __int64& rho, const __int64& theta = 0)
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146 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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147 inline complex<double> polar(const unsigned __int64& rho, const unsigned __int64& theta = 0)
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148 { return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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149 #endif
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150
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151 template<class T, class U>
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152 inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type>
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153 polar(const T& rho, const U& theta)
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154 {
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155 typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type;
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156 return std::polar(static_cast<real_type>(rho), static_cast<real_type>(theta));
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157 }
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158 #endif
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159
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160 #ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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161 template <class T>
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162 inline BOOST_TR1_MATH_RETURN(double) imag(const T& )
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163 {
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164 return 0;
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165 }
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166 #else
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167 inline double imag(const double& )
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168 {
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169 return 0;
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170 }
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171 #endif
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172 inline long double imag(const long double& )
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173 {
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174 return 0;
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175 }
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176 inline float imag(const float& )
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177 {
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178 return 0;
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179 }
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180
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181 #ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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182 template <class T>
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183 inline BOOST_TR1_MATH_RETURN(double) real(const T& t)
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184 {
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185 return static_cast<double>(t);
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186 }
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187 #else
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188 inline double real(const double& t)
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189 {
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190 return t;
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191 }
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192 #endif
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193 inline long double real(const long double& t)
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194 {
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195 return t;
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196 }
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197 inline float real(const float& t)
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198 {
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199 return t;
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200 }
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201
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202 template<class T, class U>
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203 inline complex<typename boost::tr1_detail::largest_real<T, U>::type>
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204 pow(const complex<T>& x, const complex<U>& y)
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205 {
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206 typedef complex<typename boost::tr1_detail::largest_real<T, U>::type> result_type;
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207 typedef typename boost::mpl::if_<boost::is_same<result_type, complex<T> >, result_type const&, result_type>::type cast1_type;
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208 typedef typename boost::mpl::if_<boost::is_same<result_type, complex<U> >, result_type const&, result_type>::type cast2_type;
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209 cast1_type x1(x);
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210 cast2_type y1(y);
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211 return std::pow(x1, y1);
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212 }
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213 template<class T, class U>
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214 inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type>
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215 pow (const complex<T>& x, const U& y)
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216 {
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217 typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type;
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218 typedef complex<typename boost::tr1_detail::promote_to_real<T, U>::type> result_type;
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219 typedef typename boost::mpl::if_<boost::is_same<result_type, complex<T> >, result_type const&, result_type>::type cast1_type;
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220 real_type r = y;
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221 cast1_type x1(x);
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222 std::complex<real_type> y1(r);
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223 return std::pow(x1, y1);
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224 }
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225
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226 template<class T, class U>
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227 inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type>
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228 pow (const T& x, const complex<U>& y)
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229 {
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230 typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type;
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231 typedef complex<typename boost::tr1_detail::promote_to_real<T, U>::type> result_type;
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232 typedef typename boost::mpl::if_<boost::is_same<result_type, complex<U> >, result_type const&, result_type>::type cast_type;
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233 real_type r = x;
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234 std::complex<real_type> x1(r);
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235 cast_type y1(y);
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236 return std::pow(x1, y1);
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237 }
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238
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239 }
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240
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241 #endif
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242
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243 #endif
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244
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