1 | // complex standard header
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2 | #pragma once
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3 | #ifndef _COMPLEX_MPFT_
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4 | #define _COMPLEX_MPFT_
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5 | #ifndef RC_INVOKED
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6 | //#include <complex.hpp>
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7 | #include <mpreal.h>
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8 | #include <ymath.h>
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9 | #include <ccomplex> /* dummy if not C99 library */
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10 | #include <cmath>
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11 | #include <sstream>
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12 |
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13 | #pragma pack(push,_CRT_PACKING)
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14 | #pragma warning(push,3)
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15 |
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16 | #pragma warning(disable: 4244)
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17 |
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18 | _C_STD_BEGIN
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19 | #ifndef _C_COMPLEX_MPFT_T
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20 | #define _C_COMPLEX_MPFT_T
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21 |
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22 | typedef struct _C_mpft_complex
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23 | { /* mpft complex */
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24 | mpfr::mpreal _Val[2];
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25 | } _C_mpft_complex;
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26 | #endif /* _C_COMPLEX_MPFT_T */
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27 | _C_STD_END
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28 |
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29 | _STD_BEGIN
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30 | typedef _CSTD _C_mpft_complex _Mcomplex_value;
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31 |
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32 | template<> class complex<mpfr::mpreal>;
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33 |
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34 | // CLASS _Ctraits<mpfr::mpreal>
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35 | template<> class _Ctraits<mpfr::mpreal>
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36 | { // complex traits for mpfr::mpreal
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37 | public:
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38 | typedef mpfr::mpreal _Ty;
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39 |
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40 | static _Ty _Cosh(_Ty _Left, _Ty _Right)
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41 | { // return cosh(_Left) * _Right
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42 | return (_CSTD mpfr::cosh(_Left) * _Right);
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43 | }
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44 |
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45 | static short _Exp(_Ty *_Pleft, _Ty _Right, short _Exponent)
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46 | { // compute exp(*_Pleft) * _Right * 2 ^ _Exponent
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47 | //_Left * 2 ^ _Exponent
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48 | return ((short)(mpfr::exp(*_Pleft) * mpfr::ldexp(_Right, _Exponent)).toDouble());
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49 | }
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50 |
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51 | static _Ty _Infv(_Ty)
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52 | { // return infinity
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53 | return (_CSTD _Inf._Double);
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54 | }
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55 |
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56 | static bool _Isinf(_Ty _Left)
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57 | { // test for infinity
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58 | return (_CSTD mpfr::isfinite(_Left));
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59 | }
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60 |
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61 | static bool _Isnan(_Ty _Left)
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62 | { // test for NaN
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63 | return (_CSTD mpfr::isnan(_Left));
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64 | }
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65 |
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66 | static _Ty _Nanv(_Ty)
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67 | { // return NaN
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68 | return (_CSTD _Nan._Double);
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69 | }
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70 |
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71 | static _Ty _Sinh(_Ty _Left, _Ty _Right)
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72 | { // return sinh(_Left) * _Right
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73 | return (_CSTD mpfr::sinh(_Left) * _Right);
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74 | }
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75 |
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76 | static _Ty atan2(_Ty _Yval, _Ty _Xval)
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77 | { // return atan(_Yval / _Xval)
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78 | return (_CSTD mpfr::atan2(_Yval, _Xval));
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79 | }
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80 |
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81 | static _Ty cos(_Ty _Left)
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82 | { // return cos(_Left)
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83 | return (_CSTD mpfr::cos(_Left));
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84 | }
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85 |
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86 | static _Ty exp(_Ty _Left)
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87 | { // return exp(_Left)
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88 | return (_CSTD mpfr::exp(_Left));
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89 | }
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90 |
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91 | static _Ty ldexp(_Ty _Left, int _Exponent)
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92 | { // return _Left * 2 ^ _Exponent
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93 | return (_CSTD mpfr::ldexp(_Left, _Exponent));
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94 | }
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95 |
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96 | static _Ty log(_Ty _Left)
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97 | { // return log(_Left)
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98 | return (_CSTD mpfr::log(_Left));
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99 | }
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100 |
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101 | static _Ty pow(_Ty _Left, _Ty _Right)
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102 | { // return _Left ^ _Right
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103 | return (_CSTD mpfr::pow(_Left, _Right));
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104 | }
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105 |
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106 | static _Ty sin(_Ty _Left)
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107 | { // return sin(_Left)
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108 | return (_CSTD mpfr::sin(_Left));
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109 | }
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110 |
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111 | static _Ty sqrt(_Ty _Left)
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112 | { // return sqrt(_Left)
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113 | return (_CSTD mpfr::sqrt(_Left));
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114 | }
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115 |
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116 | static _Ty tan(_Ty _Left)
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117 | { // return tan(_Left)
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118 | return (_CSTD mpfr::tan(_Left));
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119 | }
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120 | };
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121 |
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122 |
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123 | // CLASS complex<mpfr::mpreal>
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124 | template<> class complex<mpfr::mpreal>
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125 | : public _Complex_base<mpfr::mpreal, _Mcomplex_value>
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126 | { // complex with mpfr::mpreal components
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127 | public:
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128 | typedef mpfr::mpreal _Ty;
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129 | typedef complex<_Ty> _Myt;
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130 |
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131 | complex(
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132 | const complex<double>&); // defined below
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133 |
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134 | operator _Ty() const
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135 | {
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136 | return _Val[_RE];
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137 | }
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138 |
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139 | complex(const double& _Realval)
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140 | : _Complex_base<mpfr::mpreal, _Mcomplex_value>(_Realval, 0)
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141 | { // construct from double component
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142 | }
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143 |
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144 | //complex(const double& _Realval = 0, const double& _Imagval = 0)
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145 | // : _Complex_base<mpfr::mpreal, _Mcomplex_value>(_Realval, _Imagval)
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146 | // { // construct from mpfr::mpreal component
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147 | // }
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148 |
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149 | //complex()
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150 | // : _Complex_base<mpfr::mpreal, _Mcomplex_value>(0, 0)
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151 | // { // construct from mpfr::mpreal components
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152 | // }
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153 |
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154 | complex(const _Ty& _Realval = 0,
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155 | const _Ty& _Imagval = 0)
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156 | : _Complex_base<mpfr::mpreal, _Mcomplex_value>(_Realval, _Imagval)
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157 | { // construct from mpfr::mpreal components
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158 | }
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159 |
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160 | complex(const _Mcomplex_value& _Right)
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161 | : _Complex_base<mpfr::mpreal, _Mcomplex_value>(_Right._Val[_RE],
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162 | _Right._Val[_IM])
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163 | { // construct from mpfr::mpreal complex value
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164 | }
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165 |
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166 | complex<_Ty>& operator=(const _Ty& _Right)
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167 | { // assign real
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168 | _Val[_RE] = _Right;
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169 | _Val[_IM] = 0;
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170 | return (*this);
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171 | }
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172 |
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173 | _Myt& operator+=(const _Ty& _Right)
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174 | { // add real
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175 | _Val[_RE] = _Val[_RE] + _Right;
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176 | return (*this);
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177 | }
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178 |
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179 | _Myt& operator-=(const _Ty& _Right)
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180 | { // subtract real
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181 | _Val[_RE] = _Val[_RE] - _Right;
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182 | return (*this);
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183 | }
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184 |
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185 | _Myt& operator*=(const _Ty& _Right)
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186 | { // multiply by real
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187 | _Val[_RE] = _Val[_RE] * _Right;
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188 | _Val[_IM] = _Val[_IM] * _Right;
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189 | return (*this);
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190 | }
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191 |
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192 | _Myt& operator/=(const _Ty& _Right)
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193 | { // divide by real
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194 | _Val[_RE] = _Val[_RE] / _Right;
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195 | _Val[_IM] = _Val[_IM] / _Right;
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196 | return (*this);
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197 | }
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198 |
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199 | _Myt& operator+=(const _Myt& _Right)
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200 | { // add other complex
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201 | this->_Add(_Right);
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202 | return (*this);
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203 | }
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204 |
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205 | _Myt& operator-=(const _Myt& _Right)
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206 | { // subtract other complex
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207 | this->_Sub(_Right);
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208 | return (*this);
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209 | }
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210 |
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211 | _Myt& operator*=(const _Myt& _Right)
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212 | { // multiply by other complex
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213 | this->_Mul(_Right);
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214 | return (*this);
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215 | }
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216 |
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217 | _Myt& operator/=(const _Myt& _Right)
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218 | { // divide by other complex
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219 | this->_Div(_Right);
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220 | return (*this);
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221 | }
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222 |
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223 | template<class _Other> inline
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224 | _Myt& operator=(const complex<_Other>& _Right)
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225 | { // assign another complex
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226 | _Val[_RE] = (_Ty)_Right._Val[_RE];
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227 | _Val[_IM] = (_Ty)_Right._Val[_IM];
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228 | return (*this);
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229 | }
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230 |
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231 | template<class _Other> inline
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232 | _Myt& operator+=(const complex<_Other>& _Right)
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233 | { // add other complex
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234 | this->_Add(_Right);
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235 | return (*this);
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236 | }
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237 |
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238 | template<class _Other> inline
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239 | _Myt& operator-=(const complex<_Other>& _Right)
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240 | { // subtract other complex
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241 | this->_Sub(_Right);
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242 | return (*this);
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243 | }
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244 |
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245 | template<class _Other> inline
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246 | _Myt& operator*=(const complex<_Other>& _Right)
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247 | { // multiply by other complex
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248 | this->_Mul(_Right);
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249 | return (*this);
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250 | }
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251 |
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252 | template<class _Other> inline
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253 | _Myt& operator/=(const complex<_Other>& _Right)
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254 | { // divide by other complex
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255 | this->_Div(_Right);
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256 | return (*this);
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257 | }
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258 | };
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259 |
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260 |
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261 | // CONSTRUCTORS FOR complex SPECIALIZATIONS
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262 | inline complex<mpfr::mpreal>::complex(
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263 | const complex<double>& _Right)
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264 | : _Complex_base<mpfr::mpreal, _Mcomplex_value>(
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265 | (_Ty)_Right.real(), (_Ty)_Right.imag())
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266 | { // construct complex<mpfr::mpreal> from complex<double>
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267 | }
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268 |
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269 | _STD_END
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270 |
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271 | #pragma warning(pop)
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272 | #pragma pack(pop)
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273 |
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274 | #endif /* RC_INVOKED */
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275 | #endif /* _COMPLEX_MPFT_ */
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