1 | /*! |
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2 | * \file |
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3 | * \brief Definitions of operators for vectors and matricies of different |
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4 | * types |
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5 | * \author Tony Ottosson |
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6 | * |
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7 | * ------------------------------------------------------------------------- |
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8 | * |
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9 | * IT++ - C++ library of mathematical, signal processing, speech processing, |
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10 | * and communications classes and functions |
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11 | * |
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12 | * Copyright (C) 1995-2007 (see AUTHORS file for a list of contributors) |
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13 | * |
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14 | * This program is free software; you can redistribute it and/or modify |
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15 | * it under the terms of the GNU General Public License as published by |
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16 | * the Free Software Foundation; either version 2 of the License, or |
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17 | * (at your option) any later version. |
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18 | * |
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19 | * This program is distributed in the hope that it will be useful, |
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20 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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21 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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22 | * GNU General Public License for more details. |
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23 | * |
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24 | * You should have received a copy of the GNU General Public License |
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25 | * along with this program; if not, write to the Free Software |
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26 | * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA |
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27 | * |
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28 | * ------------------------------------------------------------------------- |
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29 | */ |
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30 | |
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31 | #ifndef OPERATORS_H |
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32 | #define OPERATORS_H |
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33 | |
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34 | #include <itpp/base/vec.h> |
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35 | #include <itpp/base/mat.h> |
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36 | #include <itpp/base/converters.h> |
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37 | |
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38 | |
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39 | namespace itpp { |
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40 | |
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41 | //---------------------- between scalars and complex<double> ----------------- |
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42 | //! Addition operator for int and complex double |
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43 | inline std::complex<double> operator+(const int &x, const std::complex<double> &y) {return std::complex<double>(x+y.real(), x+y.imag());} |
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44 | //! Addition operator for float and complex double |
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45 | inline std::complex<double> operator+(const float &x, const std::complex<double> &y) {return std::complex<double>(x+y.real(), x+y.imag());} |
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46 | //! Addition operator for int and complex double |
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47 | inline std::complex<double> operator+(const std::complex<double> &x, const int &y) {return std::complex<double>(x.real()+y, x.imag()+y);} |
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48 | //! Addition operator for float and complex double |
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49 | inline std::complex<double> operator+(const std::complex<double> &x, const float &y) {return std::complex<double>(x.real()+y, x.imag()+y);} |
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50 | |
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51 | //! Subtraction operator for int and complex double |
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52 | inline std::complex<double> operator-(const int &x, const std::complex<double> &y) {return std::complex<double>(x-y.real(), x-y.imag());} |
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53 | //! Subtraction operator for float and complex double |
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54 | inline std::complex<double> operator-(const float &x, const std::complex<double> &y) {return std::complex<double>(x-y.real(), x-y.imag());} |
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55 | //! Subtraction operator for int and complex double |
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56 | inline std::complex<double> operator-(const std::complex<double> &x, const int &y) {return std::complex<double>(x.real()-y, x.imag()-y);} |
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57 | //! Subtraction operator for float and complex double |
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58 | inline std::complex<double> operator-(const std::complex<double> &x, const float &y) {return std::complex<double>(x.real()-y, x.imag()-y);} |
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59 | |
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60 | //! Multiplication operator for int and complex double |
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61 | inline std::complex<double> operator*(const int &x, const std::complex<double> &y) {return std::complex<double>(x*y.real(), x*y.imag());} |
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62 | //! Multiplication operator for float and complex double |
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63 | inline std::complex<double> operator*(const float &x, const std::complex<double> &y) {return std::complex<double>(x*y.real(), x*y.imag());} |
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64 | //! Multiplication operator for int and complex double |
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65 | inline std::complex<double> operator*(const std::complex<double> &x, const int &y) {return std::complex<double>(x.real()*y, x.imag()*y);} |
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66 | //! Multiplication operator for float and complex double |
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67 | inline std::complex<double> operator*(const std::complex<double> &x, const float &y) {return std::complex<double>(x.real()*y, x.imag()*y);} |
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68 | |
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69 | //! Division operator for complex double and int |
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70 | inline std::complex<double> operator/(const std::complex<double> &x, const int &y) {return std::complex<double>(x.real()/y, x.imag()/y);} |
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71 | //! Division operator for complex double and float |
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72 | inline std::complex<double> operator/(const std::complex<double> &x, const float &y) {return std::complex<double>(x.real()/y, x.imag()/y);} |
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73 | |
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74 | |
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75 | //---------------------- between vec and scalar -------------------- |
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76 | |
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77 | /*! |
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78 | \relatesalso Vec |
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79 | \brief Addition operator for float and vec |
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80 | */ |
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81 | inline vec operator+(const float &s, const vec &v) {return static_cast<double>(s)+v;} |
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82 | |
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83 | /*! |
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84 | \relatesalso Vec |
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85 | \brief Addition operator for short and vec |
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86 | */ |
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87 | inline vec operator+(const short &s, const vec &v) {return static_cast<double>(s)+v;} |
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88 | |
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89 | /*! |
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90 | \relatesalso Vec |
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91 | \brief Addition operator for int and vec |
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92 | */ |
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93 | inline vec operator+(const int &s, const vec &v) {return static_cast<double>(s)+v;} |
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94 | |
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95 | /*! |
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96 | \relatesalso Vec |
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97 | \brief Addition operator for vec and float |
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98 | */ |
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99 | inline vec operator+(const vec &v, const float &s) {return static_cast<double>(s)+v;} |
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100 | |
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101 | /*! |
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102 | \relatesalso Vec |
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103 | \brief Addition operator for vec and short |
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104 | */ |
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105 | inline vec operator+(const vec &v, const short &s) {return static_cast<double>(s)+v;} |
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106 | |
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107 | /*! |
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108 | \relatesalso Vec |
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109 | \brief Addition operator for vec and int |
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110 | */ |
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111 | inline vec operator+(const vec &v, const int &s) {return static_cast<double>(s)+v;} |
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112 | |
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113 | /*! |
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114 | \relatesalso Vec |
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115 | \brief Subtraction operator for float and vec |
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116 | */ |
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117 | inline vec operator-(const float &s, const vec &v) {return static_cast<double>(s)-v;} |
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118 | |
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119 | /*! |
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120 | \relatesalso Vec |
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121 | \brief Subtraction operator for short and vec |
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122 | */ |
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123 | inline vec operator-(const short &s, const vec &v) {return static_cast<double>(s)-v;} |
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124 | |
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125 | /*! |
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126 | \relatesalso Vec |
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127 | \brief Subtraction operator for int and vec |
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128 | */ |
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129 | inline vec operator-(const int &s, const vec &v) {return static_cast<double>(s)-v;} |
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130 | |
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131 | /*! |
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132 | \relatesalso Vec |
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133 | \brief Subtraction operator for vec and float |
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134 | */ |
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135 | inline vec operator-(const vec &v, const float &s) {return v-static_cast<double>(s);} |
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136 | |
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137 | /*! |
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138 | \relatesalso Vec |
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139 | \brief Subtraction operator for vec and short |
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140 | */ |
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141 | inline vec operator-(const vec &v, const short &s) {return v-static_cast<double>(s);} |
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142 | |
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143 | /*! |
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144 | \relatesalso Vec |
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145 | \brief Subtraction operator for vec and int |
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146 | */ |
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147 | inline vec operator-(const vec &v, const int &s) {return v-static_cast<double>(s);} |
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148 | |
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149 | /*! |
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150 | \relatesalso Vec |
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151 | \brief Multiplication operator for float and vec |
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152 | */ |
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153 | inline vec operator*(const float &s, const vec &v) {return static_cast<double>(s)*v;} |
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154 | |
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155 | /*! |
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156 | \relatesalso Vec |
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157 | \brief Multiplication operator for short and vec |
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158 | */ |
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159 | inline vec operator*(const short &s, const vec &v) {return static_cast<double>(s)*v;} |
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160 | |
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161 | /*! |
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162 | \relatesalso Vec |
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163 | \brief Multiplication operator for int and vec |
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164 | */ |
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165 | inline vec operator*(const int &s, const vec &v) {return static_cast<double>(s)*v;} |
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166 | |
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167 | /*! |
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168 | \relatesalso Vec |
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169 | \brief Multiplication operator for complex<double> and vec |
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170 | */ |
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171 | cvec operator*(const std::complex<double> &s, const vec &v); |
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172 | |
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173 | /*! |
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174 | \relatesalso Vec |
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175 | \brief Multiplication operator for vec and float |
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176 | */ |
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177 | inline vec operator*(const vec &v, const float &s) {return static_cast<double>(s)*v;} |
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178 | |
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179 | /*! |
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180 | \relatesalso Vec |
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181 | \brief Multiplication operator for vec and short |
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182 | */ |
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183 | inline vec operator*(const vec &v, const short &s) {return static_cast<double>(s)*v;} |
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184 | |
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185 | /*! |
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186 | \relatesalso Vec |
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187 | \brief Multiplication operator for vec and int |
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188 | */ |
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189 | inline vec operator*(const vec &v, const int &s) {return static_cast<double>(s)*v;} |
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190 | |
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191 | /*! |
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192 | \relatesalso Vec |
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193 | \brief Multiplication operator for vec and complex<double> |
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194 | */ |
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195 | cvec operator*(const vec &v, const std::complex<double> &s); |
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196 | |
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197 | /*! |
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198 | \relatesalso Vec |
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199 | \brief Division operator for vec and float |
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200 | */ |
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201 | inline vec operator/(const vec &v, const float &s) {return v/static_cast<double>(s);} |
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202 | |
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203 | /*! |
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204 | \relatesalso Vec |
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205 | \brief Division operator for vec and short |
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206 | */ |
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207 | inline vec operator/(const vec &v, const short &s) {return v/static_cast<double>(s);} |
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208 | |
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209 | /*! |
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210 | \relatesalso Vec |
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211 | \brief Division operator for vec and int |
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212 | */ |
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213 | inline vec operator/(const vec &v, const int &s) {return v/static_cast<double>(s);} |
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214 | |
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215 | |
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216 | //---------------------- between ivec and scalar -------------------- |
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217 | |
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218 | /*! |
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219 | \relatesalso Vec |
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220 | \brief Addition operator for double and ivec |
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221 | */ |
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222 | vec operator+(const double &s, const ivec &v); |
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223 | |
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224 | /*! |
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225 | \relatesalso Vec |
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226 | \brief Addition operator for ivec and double |
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227 | */ |
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228 | inline vec operator+(const ivec &v, const double &s) { return s+v;} |
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229 | |
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230 | /*! |
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231 | \relatesalso Vec |
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232 | \brief Subtraction operator for double and ivec |
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233 | */ |
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234 | vec operator-(const double &s, const ivec &v); |
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235 | |
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236 | /*! |
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237 | \relatesalso Vec |
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238 | \brief Subtraction operator for ivec and double |
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239 | */ |
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240 | inline vec operator-(const ivec &v, const double &s) { return v+(-s); } |
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241 | |
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242 | /*! |
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243 | \relatesalso Vec |
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244 | \brief Multiplication operator for double and ivec |
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245 | */ |
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246 | vec operator*(const double &s, const ivec &v); |
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247 | |
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248 | /*! |
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249 | \relatesalso Vec |
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250 | \brief Multiplication operator for ivec and double |
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251 | */ |
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252 | inline vec operator*(const ivec &v, const double &s) { return s*v; } |
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253 | |
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254 | /*! |
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255 | \relatesalso Vec |
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256 | \brief Division operator for double and ivec |
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257 | */ |
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258 | vec operator/(const double &s, const ivec &v); |
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259 | |
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260 | /*! |
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261 | \relatesalso Vec |
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262 | \brief Division operator for ivec and double |
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263 | */ |
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264 | vec operator/(const ivec &v, const double &s); |
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265 | |
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266 | /*! |
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267 | \relatesalso Vec |
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268 | \brief Addition operator for complex<double> and ivec |
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269 | */ |
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270 | cvec operator+(const std::complex<double> &s, const ivec &v); |
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271 | |
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272 | /*! |
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273 | \relatesalso Vec |
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274 | \brief Addition operator for ivec and complex<double> |
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275 | */ |
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276 | inline cvec operator+(const ivec &v, const std::complex<double> &s) { return s+v;} |
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277 | |
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278 | /*! |
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279 | \relatesalso Vec |
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280 | \brief Subtraction operator for complex<double> and ivec |
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281 | */ |
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282 | cvec operator-(const std::complex<double> &s, const ivec &v); |
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283 | |
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284 | /*! |
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285 | \relatesalso Vec |
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286 | \brief Subtraction operator for ivec and complex<double> |
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287 | */ |
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288 | inline cvec operator-(const ivec &v, const std::complex<double> &s) { return v+(-s); } |
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289 | |
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290 | /*! |
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291 | \relatesalso Vec |
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292 | \brief Multiplication operator for complex<double> and ivec |
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293 | */ |
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294 | cvec operator*(const std::complex<double> &s, const ivec &v); |
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295 | |
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296 | /*! |
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297 | \relatesalso Vec |
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298 | \brief Multiplication operator for ivec and complex<double> |
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299 | */ |
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300 | inline cvec operator*(const ivec &v, const std::complex<double> &s) { return s*v; } |
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301 | |
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302 | /*! |
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303 | \relatesalso Vec |
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304 | \brief Division operator for complex<double> and ivec |
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305 | */ |
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306 | cvec operator/(const std::complex<double> &s, const ivec &v); |
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307 | |
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308 | /*! |
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309 | \relatesalso Vec |
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310 | \brief Division operator for ivec and complex<double> |
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311 | */ |
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312 | cvec operator/(const ivec &v, const std::complex<double> &s); |
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313 | |
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314 | //---------------------- between cvec and scalar -------------------- |
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315 | |
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316 | /*! |
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317 | \relatesalso Vec |
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318 | \brief Addition operator for double and cvec |
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319 | */ |
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320 | cvec operator+(const double &s, const cvec &v); |
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321 | |
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322 | /*! |
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323 | \relatesalso Vec |
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324 | \brief Addition operator for float and cvec |
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325 | */ |
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326 | inline cvec operator+(const float &s, const cvec &v) {return static_cast<double>(s)+v;} |
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327 | |
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328 | /*! |
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329 | \relatesalso Vec |
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330 | \brief Addition operator for short and cvec |
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331 | */ |
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332 | inline cvec operator+(const short &s, const cvec &v) {return static_cast<double>(s)+v;} |
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333 | |
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334 | /*! |
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335 | \relatesalso Vec |
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336 | \brief Addition operator for int and cvec |
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337 | */ |
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338 | inline cvec operator+(const int &s, const cvec &v) {return static_cast<double>(s)+v;} |
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339 | |
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340 | /*! |
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341 | \relatesalso Vec |
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342 | \brief Addition operator for cvec and float |
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343 | */ |
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344 | inline cvec operator+(const cvec &v, const float &s) {return s+v;} |
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345 | |
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346 | /*! |
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347 | \relatesalso Vec |
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348 | \brief Addition operator for cvec and double |
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349 | */ |
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350 | inline cvec operator+(const cvec &v, const double &s) {return s+v;} |
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351 | |
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352 | /*! |
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353 | \relatesalso Vec |
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354 | \brief Addition operator for cvec and short |
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355 | */ |
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356 | inline cvec operator+(const cvec &v, const short &s) {return s+v;} |
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357 | |
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358 | /*! |
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359 | \relatesalso Vec |
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360 | \brief Addition operator for cvec and int |
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361 | */ |
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362 | inline cvec operator+(const cvec &v, const int &s) {return s+v;} |
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363 | |
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364 | /*! |
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365 | \relatesalso Vec |
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366 | \brief Subtraction operator for double and cvec |
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367 | */ |
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368 | cvec operator-(const double &s, const cvec &v); |
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369 | |
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370 | /*! |
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371 | \relatesalso Vec |
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372 | \brief Subtraction operator for float and cvec |
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373 | */ |
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374 | inline cvec operator-(const float &s, const cvec &v) {return static_cast<double>(s)-v;} |
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375 | |
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376 | /*! |
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377 | \relatesalso Vec |
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378 | \brief Subtraction operator for short and cvec |
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379 | */ |
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380 | inline cvec operator-(const short &s, const cvec &v) {return static_cast<double>(s)-v;} |
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381 | |
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382 | /*! |
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383 | \relatesalso Vec |
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384 | \brief Subtraction operator for int and cvec |
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385 | */ |
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386 | inline cvec operator-(const int &s, const cvec &v) {return static_cast<double>(s)-v;} |
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387 | |
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388 | /*! |
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389 | \relatesalso Vec |
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390 | \brief Subtraction operator for cvec and float |
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391 | */ |
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392 | inline cvec operator-(const cvec &v, const float &s) {return v+(-s);} |
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393 | |
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394 | /*! |
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395 | \relatesalso Vec |
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396 | \brief Subtraction operator for cvec and double |
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397 | */ |
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398 | inline cvec operator-(const cvec &v, const double &s) {return v+(-s);} |
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399 | |
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400 | /*! |
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401 | \relatesalso Vec |
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402 | \brief Subtraction operator for cvec and short |
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403 | */ |
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404 | inline cvec operator-(const cvec &v, const short &s) {return v+(-s);} |
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405 | |
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406 | /*! |
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407 | \relatesalso Vec |
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408 | \brief Subtraction operator for cvec and int |
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409 | */ |
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410 | inline cvec operator-(const cvec &v, const int &s) {return v+(-s);} |
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411 | |
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412 | /*! |
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413 | \relatesalso Vec |
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414 | \brief Multiplication operator for double and cvec |
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415 | */ |
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416 | cvec operator*(const double &s, const cvec &v); |
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417 | |
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418 | /*! |
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419 | \relatesalso Vec |
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420 | \brief Multiplication operator for float and cvec |
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421 | */ |
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422 | inline cvec operator*(const float &s, const cvec &v) {return static_cast<double>(s)*v;} |
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423 | |
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424 | /*! |
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425 | \relatesalso Vec |
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426 | \brief Multiplication operator for short and cvec |
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427 | */ |
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428 | inline cvec operator*(const short &s, const cvec &v) {return static_cast<double>(s)*v;} |
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429 | |
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430 | /*! |
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431 | \relatesalso Vec |
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432 | \brief Multiplication operator for int and cvec |
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433 | */ |
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434 | inline cvec operator*(const int &s, const cvec &v) {return static_cast<double>(s)*v;} |
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435 | |
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436 | /*! |
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437 | \relatesalso Vec |
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438 | \brief Multiplication operator for cvec and float |
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439 | */ |
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440 | inline cvec operator*(const cvec &v, const float &s) {return s*v;} |
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441 | |
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442 | /*! |
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443 | \relatesalso Vec |
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444 | \brief Multiplication operator for cvec and double |
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445 | */ |
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446 | inline cvec operator*(const cvec &v, const double &s) {return s*v;} |
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447 | |
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448 | /*! |
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449 | \relatesalso Vec |
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450 | \brief Multiplication operator for cvec and short |
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451 | */ |
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452 | inline cvec operator*(const cvec &v, const short &s) {return s*v;} |
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453 | |
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454 | /*! |
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455 | \relatesalso Vec |
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456 | \brief Multiplication operator for cvec and int |
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457 | */ |
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458 | inline cvec operator*(const cvec &v, const int &s) {return s*v;} |
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459 | |
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460 | /*! |
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461 | \relatesalso Vec |
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462 | \brief Division operator for cvec and double |
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463 | */ |
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464 | cvec operator/(const cvec &v, const double &s); |
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465 | |
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466 | /*! |
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467 | \relatesalso Vec |
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468 | \brief Division operator for double and cvec |
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469 | */ |
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470 | cvec operator/(const double &s, const cvec &v); |
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471 | |
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472 | /*! |
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473 | \relatesalso Vec |
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474 | \brief Division operator for cvec and float |
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475 | */ |
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476 | inline cvec operator/(const cvec &v, const float &s) {return v/static_cast<double>(s);} |
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477 | |
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478 | /*! |
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479 | \relatesalso Vec |
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480 | \brief Division operator for cvec and short |
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481 | */ |
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482 | inline cvec operator/(const cvec &v, const short &s) {return v/static_cast<double>(s);} |
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483 | |
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484 | /*! |
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485 | \relatesalso Vec |
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486 | \brief Division operator for cvec and int |
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487 | */ |
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488 | inline cvec operator/(const cvec &v, const int &s) {return v/static_cast<double>(s);} |
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489 | |
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490 | //---------------------- between mat and scalar -------------------- |
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491 | |
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492 | /*! |
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493 | \relatesalso Mat |
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494 | \brief Addition operator for float and mat |
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495 | */ |
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496 | inline mat operator+(const float &s, const mat &m) {return static_cast<double>(s)+m;} |
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497 | |
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498 | /*! |
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499 | \relatesalso Mat |
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500 | \brief Addition operator for short and mat |
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501 | */ |
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502 | inline mat operator+(const short &s, const mat &m) {return static_cast<double>(s)+m;} |
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503 | |
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504 | /*! |
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505 | \relatesalso Mat |
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506 | \brief Addition operator for int and mat |
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507 | */ |
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508 | inline mat operator+(const int &s, const mat &m) {return static_cast<double>(s)+m;} |
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509 | |
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510 | /*! |
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511 | \relatesalso Mat |
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512 | \brief Addition operator for mat and float |
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513 | */ |
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514 | inline mat operator+(const mat &m, const float &s) {return static_cast<double>(s)+m;} |
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515 | |
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516 | /*! |
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517 | \relatesalso Mat |
---|
518 | \brief Addition operator for mat and short |
---|
519 | */ |
---|
520 | inline mat operator+(const mat &m, const short &s) {return static_cast<double>(s)+m;} |
---|
521 | |
---|
522 | /*! |
---|
523 | \relatesalso Mat |
---|
524 | \brief Addition operator for mat and int |
---|
525 | */ |
---|
526 | inline mat operator+(const mat &m, const int &s) {return static_cast<double>(s)+m;} |
---|
527 | |
---|
528 | /*! |
---|
529 | \relatesalso Mat |
---|
530 | \brief Subtraction operator for float and mat |
---|
531 | */ |
---|
532 | inline mat operator-(const float &s, const mat &m) {return static_cast<double>(s)-m;} |
---|
533 | |
---|
534 | /*! |
---|
535 | \relatesalso Mat |
---|
536 | \brief Subtraction operator for short and mat |
---|
537 | */ |
---|
538 | inline mat operator-(const short &s, const mat &m) {return static_cast<double>(s)-m;} |
---|
539 | |
---|
540 | /*! |
---|
541 | \relatesalso Mat |
---|
542 | \brief Subtraction operator for int and mat |
---|
543 | */ |
---|
544 | inline mat operator-(const int &s, const mat &m) {return static_cast<double>(s)-m;} |
---|
545 | |
---|
546 | /*! |
---|
547 | \relatesalso Mat |
---|
548 | \brief Subtraction operator for mat and float |
---|
549 | */ |
---|
550 | inline mat operator-(const mat &m, const float &s) {return m-static_cast<double>(s);} |
---|
551 | |
---|
552 | /*! |
---|
553 | \relatesalso Mat |
---|
554 | \brief Subtraction operator for mat and short |
---|
555 | */ |
---|
556 | inline mat operator-(const mat &m, const short &s) {return m-static_cast<double>(s);} |
---|
557 | |
---|
558 | /*! |
---|
559 | \relatesalso Mat |
---|
560 | \brief Subtraction operator for mat and int |
---|
561 | */ |
---|
562 | inline mat operator-(const mat &m, const int &s) {return m-static_cast<double>(s);} |
---|
563 | |
---|
564 | /*! |
---|
565 | \relatesalso Mat |
---|
566 | \brief Multiplication operator for float and mat |
---|
567 | */ |
---|
568 | inline mat operator*(const float &s, const mat &m) {return static_cast<double>(s)*m;} |
---|
569 | |
---|
570 | /*! |
---|
571 | \relatesalso Mat |
---|
572 | \brief Multiplication operator for short and mat |
---|
573 | */ |
---|
574 | inline mat operator*(const short &s, const mat &m) {return static_cast<double>(s)*m;} |
---|
575 | |
---|
576 | /*! |
---|
577 | \relatesalso Mat |
---|
578 | \brief Multiplication operator for int and mat |
---|
579 | */ |
---|
580 | inline mat operator*(const int &s, const mat &m) {return static_cast<double>(s)*m;} |
---|
581 | |
---|
582 | /*! |
---|
583 | \relatesalso Mat |
---|
584 | \brief Multiplication operator for mat and float |
---|
585 | */ |
---|
586 | inline mat operator*(const mat &m, const float &s) {return static_cast<double>(s)*m;} |
---|
587 | |
---|
588 | /*! |
---|
589 | \relatesalso Mat |
---|
590 | \brief Multiplication operator for mat and short |
---|
591 | */ |
---|
592 | inline mat operator*(const mat &m, const short &s) {return static_cast<double>(s)*m;} |
---|
593 | |
---|
594 | /*! |
---|
595 | \relatesalso Mat |
---|
596 | \brief Multiplication operator for mat and int |
---|
597 | */ |
---|
598 | inline mat operator*(const mat &m, const int &s) {return static_cast<double>(s)*m;} |
---|
599 | |
---|
600 | /*! |
---|
601 | \relatesalso Mat |
---|
602 | \brief Division operator for mat and float |
---|
603 | */ |
---|
604 | inline mat operator/(const mat &m, const float &s) {return m/static_cast<double>(s);} |
---|
605 | |
---|
606 | /*! |
---|
607 | \relatesalso Mat |
---|
608 | \brief Division operator for mat and short |
---|
609 | */ |
---|
610 | inline mat operator/(const mat &m, const short &s) {return m/static_cast<double>(s);} |
---|
611 | |
---|
612 | /*! |
---|
613 | \relatesalso Mat |
---|
614 | \brief Division operator for mat and int |
---|
615 | */ |
---|
616 | inline mat operator/(const mat &m, const int &s) {return m/static_cast<double>(s);} |
---|
617 | |
---|
618 | //---------------------- between cmat and scalar -------------------- |
---|
619 | |
---|
620 | /*! |
---|
621 | \relatesalso Mat |
---|
622 | \brief Addition operator for double and cmat |
---|
623 | */ |
---|
624 | cmat operator+(const double &s, const cmat &m); |
---|
625 | |
---|
626 | /*! |
---|
627 | \relatesalso Mat |
---|
628 | \brief Subtraction operator for double and cmat |
---|
629 | */ |
---|
630 | cmat operator-(const double &s, const cmat &m); |
---|
631 | |
---|
632 | /*! |
---|
633 | \relatesalso Mat |
---|
634 | \brief Multiplication operator for double and cmat |
---|
635 | */ |
---|
636 | cmat operator*(const double &s, const cmat &m); |
---|
637 | |
---|
638 | /*! |
---|
639 | \relatesalso Mat |
---|
640 | \brief Multiplication operator for complex<double> and mat |
---|
641 | */ |
---|
642 | cmat operator*(const std::complex<double> &s, const mat &m); |
---|
643 | |
---|
644 | /*! |
---|
645 | \relatesalso Mat |
---|
646 | \brief Multiplication operator for mat and complex<double> |
---|
647 | */ |
---|
648 | inline cmat operator*(const mat &m, const std::complex<double> &s) {return s*m;} |
---|
649 | |
---|
650 | /*! |
---|
651 | \relatesalso Mat |
---|
652 | \brief Division operator for cmat and double |
---|
653 | */ |
---|
654 | cmat operator/(const cmat &m, const double &s); |
---|
655 | |
---|
656 | //---------------------- between vec and vectors -------------------- |
---|
657 | |
---|
658 | /*! |
---|
659 | \relatesalso Vec |
---|
660 | \brief Addition operator for bvec and vec |
---|
661 | */ |
---|
662 | vec operator+(const bvec &a, const vec &b); |
---|
663 | |
---|
664 | /*! |
---|
665 | \relatesalso Vec |
---|
666 | \brief Addition operator for svec and vec |
---|
667 | */ |
---|
668 | vec operator+(const svec &a, const vec &b); |
---|
669 | |
---|
670 | /*! |
---|
671 | \relatesalso Vec |
---|
672 | \brief Addition operator for ivec and vec |
---|
673 | */ |
---|
674 | vec operator+(const ivec &a, const vec &b); |
---|
675 | |
---|
676 | /*! |
---|
677 | \relatesalso Vec |
---|
678 | \brief Addition operator for vec and bvec |
---|
679 | */ |
---|
680 | inline vec operator+(const vec &a, const bvec &b) {return b+a;} |
---|
681 | |
---|
682 | /*! |
---|
683 | \relatesalso Vec |
---|
684 | \brief Addition operator for vec and svec |
---|
685 | */ |
---|
686 | inline vec operator+(const vec &a, const svec &b) {return b+a;} |
---|
687 | |
---|
688 | /*! |
---|
689 | \relatesalso Vec |
---|
690 | \brief Addition operator for vec and ivec |
---|
691 | */ |
---|
692 | inline vec operator+(const vec &a, const ivec &b) {return b+a;} |
---|
693 | |
---|
694 | /*! |
---|
695 | \relatesalso Vec |
---|
696 | \brief Subtraction operator for bvec and vec |
---|
697 | */ |
---|
698 | inline vec operator-(const bvec &a, const vec &b) {return a+(-b);} |
---|
699 | |
---|
700 | /*! |
---|
701 | \relatesalso Vec |
---|
702 | \brief Subtraction operator for svec and vec |
---|
703 | */ |
---|
704 | inline vec operator-(const svec &a, const vec &b) {return a+(-b);} |
---|
705 | |
---|
706 | /*! |
---|
707 | \relatesalso Vec |
---|
708 | \brief Subtraction operator for ivec and vec |
---|
709 | */ |
---|
710 | inline vec operator-(const ivec &a, const vec &b) {return a+(-b);} |
---|
711 | |
---|
712 | /*! |
---|
713 | \relatesalso Vec |
---|
714 | \brief Subtraction operator for vec and bvec |
---|
715 | */ |
---|
716 | inline vec operator-(const vec &a, const bvec &b) {return a+(-b);} |
---|
717 | |
---|
718 | /*! |
---|
719 | \relatesalso Vec |
---|
720 | \brief Subtraction operator for vec and svec |
---|
721 | */ |
---|
722 | inline vec operator-(const vec &a, const svec &b) {return a+(-b);} |
---|
723 | |
---|
724 | /*! |
---|
725 | \relatesalso Vec |
---|
726 | \brief Subtraction operator for vec and ivec |
---|
727 | */ |
---|
728 | inline vec operator-(const vec &a, const ivec &b) {return a+(-b);} |
---|
729 | |
---|
730 | /*! |
---|
731 | \relatesalso Vec |
---|
732 | \brief Multiplication operator for bvec and vec |
---|
733 | */ |
---|
734 | double operator*(const bvec &a, const vec &b); |
---|
735 | |
---|
736 | /*! |
---|
737 | \relatesalso Vec |
---|
738 | \brief Multiplication operator for svec and vec |
---|
739 | */ |
---|
740 | double operator*(const svec &a, const vec &b); |
---|
741 | |
---|
742 | /*! |
---|
743 | \relatesalso Vec |
---|
744 | \brief Multiplication operator for ivec and vec |
---|
745 | */ |
---|
746 | double operator*(const ivec &a, const vec &b); |
---|
747 | |
---|
748 | /*! |
---|
749 | \relatesalso Vec |
---|
750 | \brief Multiplication operator for vec and bvec |
---|
751 | */ |
---|
752 | inline double operator*(const vec &a, const bvec &b) {return b*a;} |
---|
753 | |
---|
754 | /*! |
---|
755 | \relatesalso Vec |
---|
756 | \brief Multiplication operator for vec and svec |
---|
757 | */ |
---|
758 | inline double operator*(const vec &a, const svec &b) {return b*a;} |
---|
759 | |
---|
760 | /*! |
---|
761 | \relatesalso Vec |
---|
762 | \brief Multiplication operator for vec and ivec |
---|
763 | */ |
---|
764 | inline double operator*(const vec &a, const ivec &b) {return b*a;} |
---|
765 | |
---|
766 | //---------------------- between cvec and vectors -------------------- |
---|
767 | |
---|
768 | /*! |
---|
769 | \relatesalso Vec |
---|
770 | \brief Addition operator for bvec and cvec |
---|
771 | */ |
---|
772 | cvec operator+(const bvec &a, const cvec &b); |
---|
773 | |
---|
774 | /*! |
---|
775 | \relatesalso Vec |
---|
776 | \brief Addition operator for svec and cvec |
---|
777 | */ |
---|
778 | cvec operator+(const svec &a, const cvec &b); |
---|
779 | |
---|
780 | /*! |
---|
781 | \relatesalso Vec |
---|
782 | \brief Addition operator for ivec and cvec |
---|
783 | */ |
---|
784 | cvec operator+(const ivec &a, const cvec &b); |
---|
785 | |
---|
786 | /*! |
---|
787 | \relatesalso Vec |
---|
788 | \brief Addition operator for cvec and bvec |
---|
789 | */ |
---|
790 | inline cvec operator+(const cvec &a, const bvec &b) {return b+a;} |
---|
791 | |
---|
792 | /*! |
---|
793 | \relatesalso Vec |
---|
794 | \brief Addition operator for cvec and svec |
---|
795 | */ |
---|
796 | inline cvec operator+(const cvec &a, const svec &b) {return b+a;} |
---|
797 | |
---|
798 | /*! |
---|
799 | \relatesalso Vec |
---|
800 | \brief Addition operator for cvec and ivec |
---|
801 | */ |
---|
802 | inline cvec operator+(const cvec &a, const ivec &b) {return b+a;} |
---|
803 | |
---|
804 | /*! |
---|
805 | \relatesalso Vec |
---|
806 | \brief Subtraction operator for bvec and cvec |
---|
807 | */ |
---|
808 | inline cvec operator-(const bvec &a, const cvec &b) {return a+(-b);} |
---|
809 | |
---|
810 | /*! |
---|
811 | \relatesalso Vec |
---|
812 | \brief Subtraction operator for svec and cvec |
---|
813 | */ |
---|
814 | inline cvec operator-(const svec &a, const cvec &b) {return a+(-b);} |
---|
815 | |
---|
816 | /*! |
---|
817 | \relatesalso Vec |
---|
818 | \brief Subtraction operator for ivec and cvec |
---|
819 | */ |
---|
820 | inline cvec operator-(const ivec &a, const cvec &b) {return a+(-b);} |
---|
821 | |
---|
822 | /*! |
---|
823 | \relatesalso Vec |
---|
824 | \brief Subtraction operator for cvec and bvec |
---|
825 | */ |
---|
826 | inline cvec operator-(const cvec &a, const bvec &b) {return a+(-b);} |
---|
827 | |
---|
828 | /*! |
---|
829 | \relatesalso Vec |
---|
830 | \brief Subtraction operator for cvec and svec |
---|
831 | */ |
---|
832 | inline cvec operator-(const cvec &a, const svec &b) {return a+(-b);} |
---|
833 | |
---|
834 | /*! |
---|
835 | \relatesalso Vec |
---|
836 | \brief Subtraction operator for cvec and ivec |
---|
837 | */ |
---|
838 | inline cvec operator-(const cvec &a, const ivec &b) {return a+(-b);} |
---|
839 | |
---|
840 | /*! |
---|
841 | \relatesalso Vec |
---|
842 | \brief Multiplication operator for bvec and cvec |
---|
843 | */ |
---|
844 | std::complex<double> operator*(const bvec &a, const cvec &b); |
---|
845 | |
---|
846 | /*! |
---|
847 | \relatesalso Vec |
---|
848 | \brief Multiplication operator for svec and cvec |
---|
849 | */ |
---|
850 | std::complex<double> operator*(const svec &a, const cvec &b); |
---|
851 | |
---|
852 | /*! |
---|
853 | \relatesalso Vec |
---|
854 | \brief Multiplication operator for ivec and cvec |
---|
855 | */ |
---|
856 | std::complex<double> operator*(const ivec &a, const cvec &b); |
---|
857 | |
---|
858 | /*! |
---|
859 | \relatesalso Vec |
---|
860 | \brief Multiplication operator for cvec and bvec |
---|
861 | */ |
---|
862 | inline std::complex<double> operator*(const cvec &a, const bvec &b) {return b*a;} |
---|
863 | |
---|
864 | /*! |
---|
865 | \relatesalso Vec |
---|
866 | \brief Multiplication operator for cvec and svec |
---|
867 | */ |
---|
868 | inline std::complex<double> operator*(const cvec &a, const svec &b) {return b*a;} |
---|
869 | |
---|
870 | /*! |
---|
871 | \relatesalso Vec |
---|
872 | \brief Multiplication operator for cvec and ivec |
---|
873 | */ |
---|
874 | inline std::complex<double> operator*(const cvec &a, const ivec &b) {return b*a;} |
---|
875 | |
---|
876 | //---------------------- between mat and matricies -------------------- |
---|
877 | |
---|
878 | /*! |
---|
879 | \relatesalso Mat |
---|
880 | \brief Addition operator for bmat and mat |
---|
881 | */ |
---|
882 | mat operator+(const bmat &a, const mat &b); |
---|
883 | |
---|
884 | /*! |
---|
885 | \relatesalso Mat |
---|
886 | \brief Addition operator for smat and mat |
---|
887 | */ |
---|
888 | mat operator+(const smat &a, const mat &b); |
---|
889 | |
---|
890 | /*! |
---|
891 | \relatesalso Mat |
---|
892 | \brief Addition operator for imat and mat |
---|
893 | */ |
---|
894 | mat operator+(const imat &a, const mat &b); |
---|
895 | |
---|
896 | /*! |
---|
897 | \relatesalso Mat |
---|
898 | \brief Addition operator for mat and bmat |
---|
899 | */ |
---|
900 | inline mat operator+(const mat &a, const bmat &b) {return b+a;} |
---|
901 | |
---|
902 | /*! |
---|
903 | \relatesalso Mat |
---|
904 | \brief Addition operator for mat and smat |
---|
905 | */ |
---|
906 | inline mat operator+(const mat &a, const smat &b) {return b+a;} |
---|
907 | |
---|
908 | /*! |
---|
909 | \relatesalso Mat |
---|
910 | \brief Addition operator for mat and imat |
---|
911 | */ |
---|
912 | inline mat operator+(const mat &a, const imat &b) {return b+a;} |
---|
913 | |
---|
914 | /*! |
---|
915 | \relatesalso Mat |
---|
916 | \brief Subtraction operator for bmat and mat |
---|
917 | */ |
---|
918 | inline mat operator-(const bmat &a, const mat &b) {return a+(-b);} |
---|
919 | |
---|
920 | /*! |
---|
921 | \relatesalso Mat |
---|
922 | \brief Subtraction operator for smat and mat |
---|
923 | */ |
---|
924 | inline mat operator-(const smat &a, const mat &b) {return a+(-b);} |
---|
925 | |
---|
926 | /*! |
---|
927 | \relatesalso Mat |
---|
928 | \brief Subtraction operator for imat and mat |
---|
929 | */ |
---|
930 | inline mat operator-(const imat &a, const mat &b) {return a+(-b);} |
---|
931 | |
---|
932 | /*! |
---|
933 | \relatesalso Mat |
---|
934 | \brief Subtraction operator for mat and bmat |
---|
935 | */ |
---|
936 | inline mat operator-(const mat &a, const bmat &b) {return a+(-b);} |
---|
937 | |
---|
938 | /*! |
---|
939 | \relatesalso Mat |
---|
940 | \brief Subtraction operator for mat and smat |
---|
941 | */ |
---|
942 | inline mat operator-(const mat &a, const smat &b) {return a+(-b);} |
---|
943 | |
---|
944 | /*! |
---|
945 | \relatesalso Mat |
---|
946 | \brief Subtraction operator for mat and imat |
---|
947 | */ |
---|
948 | inline mat operator-(const mat &a, const imat &b) {return a+(-b);} |
---|
949 | |
---|
950 | //---------------------- between cmat and matricies -------------------- |
---|
951 | |
---|
952 | /*! |
---|
953 | \relatesalso Mat |
---|
954 | \brief Addition operator for bmat and cmat |
---|
955 | */ |
---|
956 | cmat operator+(const bmat &a, const cmat &b); |
---|
957 | |
---|
958 | /*! |
---|
959 | \relatesalso Mat |
---|
960 | \brief Addition operator for smat and cmat |
---|
961 | */ |
---|
962 | cmat operator+(const smat &a, const cmat &b); |
---|
963 | |
---|
964 | /*! |
---|
965 | \relatesalso Mat |
---|
966 | \brief Addition operator for imat and cmat |
---|
967 | */ |
---|
968 | cmat operator+(const imat &a, const cmat &b); |
---|
969 | |
---|
970 | /*! |
---|
971 | \relatesalso Mat |
---|
972 | \brief Addition operator for mat and cmat |
---|
973 | */ |
---|
974 | cmat operator+(const mat &a, const cmat &b); |
---|
975 | |
---|
976 | /*! |
---|
977 | \relatesalso Mat |
---|
978 | \brief Addition operator for cmat and bmat |
---|
979 | */ |
---|
980 | inline cmat operator+(const cmat &a, const bmat &b) {return b+a;} |
---|
981 | |
---|
982 | /*! |
---|
983 | \relatesalso Mat |
---|
984 | \brief Addition operator for cmat and smat |
---|
985 | */ |
---|
986 | inline cmat operator+(const cmat &a, const smat &b) {return b+a;} |
---|
987 | |
---|
988 | /*! |
---|
989 | \relatesalso Mat |
---|
990 | \brief Addition operator for cmat and imat |
---|
991 | */ |
---|
992 | inline cmat operator+(const cmat &a, const imat &b) {return b+a;} |
---|
993 | |
---|
994 | /*! |
---|
995 | \relatesalso Mat |
---|
996 | \brief Addition operator for cmat and mat |
---|
997 | */ |
---|
998 | inline cmat operator+(const cmat &a, const mat &b) {return b+a;} |
---|
999 | |
---|
1000 | /*! |
---|
1001 | \relatesalso Mat |
---|
1002 | \brief Subtraction operator for bmat and cmat |
---|
1003 | */ |
---|
1004 | inline cmat operator-(const bmat &a, const cmat &b) {return a+(-b);} |
---|
1005 | |
---|
1006 | /*! |
---|
1007 | \relatesalso Mat |
---|
1008 | \brief Subtraction operator for smat and cmat |
---|
1009 | */ |
---|
1010 | inline cmat operator-(const smat &a, const cmat &b) {return a+(-b);} |
---|
1011 | |
---|
1012 | /*! |
---|
1013 | \relatesalso Mat |
---|
1014 | \brief Subtraction operator for imat and cmat |
---|
1015 | */ |
---|
1016 | inline cmat operator-(const imat &a, const cmat &b) {return a+(-b);} |
---|
1017 | |
---|
1018 | /*! |
---|
1019 | \relatesalso Mat |
---|
1020 | \brief Subtraction operator for mat and cmat |
---|
1021 | */ |
---|
1022 | inline cmat operator-(const mat &a, const cmat &b) {return a+(-b);} |
---|
1023 | |
---|
1024 | /*! |
---|
1025 | \relatesalso Mat |
---|
1026 | \brief Subtraction operator for cmat and bmat |
---|
1027 | */ |
---|
1028 | inline cmat operator-(const cmat &a, const bmat &b) {return a+(-b);} |
---|
1029 | |
---|
1030 | /*! |
---|
1031 | \relatesalso Mat |
---|
1032 | \brief Subtraction operator for cmat and smat |
---|
1033 | */ |
---|
1034 | inline cmat operator-(const cmat &a, const smat &b) {return a+(-b);} |
---|
1035 | |
---|
1036 | /*! |
---|
1037 | \relatesalso Mat |
---|
1038 | \brief Subtraction operator for cmat and imat |
---|
1039 | */ |
---|
1040 | inline cmat operator-(const cmat &a, const imat &b) {return a+(-b);} |
---|
1041 | |
---|
1042 | /*! |
---|
1043 | \relatesalso Mat |
---|
1044 | \brief Subtraction operator for cmat and mat |
---|
1045 | */ |
---|
1046 | inline cmat operator-(const cmat &a, const mat &b) {return a+(-b);} |
---|
1047 | |
---|
1048 | /*! |
---|
1049 | \relatesalso Mat |
---|
1050 | \brief Multiplication operator for mat and cmat |
---|
1051 | */ |
---|
1052 | inline cmat operator*(const mat &a, const cmat &b) {return to_cmat(a)*b;} |
---|
1053 | |
---|
1054 | /*! |
---|
1055 | \relatesalso Mat |
---|
1056 | \brief Multiplication operator for bmat and cmat |
---|
1057 | */ |
---|
1058 | inline cmat operator*(const bmat &a, const cmat &b) {return to_cmat(a)*b;} |
---|
1059 | |
---|
1060 | /*! |
---|
1061 | \relatesalso Mat |
---|
1062 | \brief Multiplication operator for smat and cmat |
---|
1063 | */ |
---|
1064 | inline cmat operator*(const smat &a, const cmat &b) {return to_cmat(a)*b;} |
---|
1065 | |
---|
1066 | /*! |
---|
1067 | \relatesalso Mat |
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1068 | \brief Multiplication operator for imat and cmat |
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1069 | */ |
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1070 | inline cmat operator*(const imat &a, const cmat &b) {return to_cmat(a)*b;} |
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1071 | |
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1072 | /*! |
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1073 | \relatesalso Mat |
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1074 | \brief Multiplication operator for cmat and mat |
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1075 | */ |
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1076 | inline cmat operator*(const cmat &a, const mat &b) {return a*to_cmat(b);} |
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1077 | |
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1078 | /*! |
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1079 | \relatesalso Mat |
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1080 | \brief Multiplication operator for cmat and bmat |
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1081 | */ |
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1082 | inline cmat operator*(const cmat &a, const bmat &b) {return a*to_cmat(b);} |
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1083 | |
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1084 | /*! |
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1085 | \relatesalso Mat |
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1086 | \brief Multiplication operator for cmat and smat |
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1087 | */ |
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1088 | inline cmat operator*(const cmat &a, const smat &b) {return a*to_cmat(b);} |
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1089 | |
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1090 | /*! |
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1091 | \relatesalso Mat |
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1092 | \brief Multiplication operator for cmat and imat |
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1093 | */ |
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1094 | inline cmat operator*(const cmat &a, const imat &b) {return a*to_cmat(b);} |
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1095 | |
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1096 | } // namespace itpp |
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1097 | |
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1098 | #endif // #ifndef OPERATORS_H |
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