1 | // |
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2 | // Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo |
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3 | // |
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4 | // The contents of this file are covered under the licence agreement in the |
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5 | // file "LICENCE" distributed with Cforall. |
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6 | // |
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7 | // math -- |
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8 | // |
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9 | // Author : Peter A. Buhr |
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10 | // Created On : Mon Apr 18 23:37:04 2016 |
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11 | // Last Modified By : Peter A. Buhr |
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12 | // Last Modified On : Mon Aug 7 07:51:15 2017 |
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13 | // Update Count : 108 |
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14 | // |
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15 | |
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16 | #pragma once |
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17 | |
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18 | #include <math.h> |
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19 | #include <complex.h> |
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20 | |
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21 | //---------------------- General ---------------------- |
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22 | |
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23 | static inline float ?%?( float x, float y ) { return fmodf( x, y ); } |
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24 | static inline float fmod( float x, float y ) { return fmodf( x, y ); } |
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25 | static inline double ?%?( double x, double y ) { return fmod( x, y ); } |
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26 | // extern "C" { double fmod( double, double ); } |
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27 | static inline long double ?%?( long double x, long double y ) { return fmodl( x, y ); } |
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28 | static inline long double fmod( long double x, long double y ) { return fmodl( x, y ); } |
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29 | |
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30 | static inline float remainder( float x, float y ) { return remainderf( x, y ); } |
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31 | // extern "C" { double remainder( double, double ); } |
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32 | static inline long double remainder( long double x, long double y ) { return remainderl( x, y ); } |
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33 | |
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34 | static inline float remquo( float x, float y, int * quo ) { return remquof( x, y, quo ); } |
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35 | // extern "C" { double remquo( double x, double y, int * quo ); } |
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36 | static inline long double remquo( long double x, long double y, int * quo ) { return remquol( x, y, quo ); } |
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37 | static inline [ int, float ] remquo( float x, float y ) { int quo; x = remquof( x, y, &quo ); return [ quo, x ]; } |
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38 | static inline [ int, double ] remquo( double x, double y ) { int quo; x = remquo( x, y, &quo ); return [ quo, x ]; } |
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39 | static inline [ int, long double ] remquo( long double x, long double y ) { int quo; x = remquol( x, y, &quo ); return [ quo, x ]; } |
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40 | |
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41 | static inline [ float, float ] div( float x, float y ) { y = modff( x / y, &x ); return [ x, y ]; } |
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42 | static inline [ double, double ] div( double x, double y ) { y = modf( x / y, &x ); return [ x, y ]; } |
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43 | static inline [ long double, long double ] div( long double x, long double y ) { y = modfl( x / y, &x ); return [ x, y ]; } |
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44 | |
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45 | static inline float fma( float x, float y, float z ) { return fmaf( x, y, z ); } |
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46 | // extern "C" { double fma( double, double, double ); } |
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47 | static inline long double fma( long double x, long double y, long double z ) { return fmal( x, y, z ); } |
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48 | |
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49 | static inline float fdim( float x, float y ) { return fdimf( x, y ); } |
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50 | // extern "C" { double fdim( double, double ); } |
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51 | static inline long double fdim( long double x, long double y ) { return fdiml( x, y ); } |
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52 | |
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53 | static inline float nan( const char * tag ) { return nanf( tag ); } |
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54 | // extern "C" { double nan( const char * ); } |
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55 | static inline long double nan( const char * tag ) { return nanl( tag ); } |
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56 | |
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57 | //---------------------- Exponential ---------------------- |
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58 | |
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59 | static inline float exp( float x ) { return expf( x ); } |
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60 | // extern "C" { double exp( double ); } |
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61 | static inline long double exp( long double x ) { return expl( x ); } |
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62 | static inline float _Complex exp( float _Complex x ) { return cexpf( x ); } |
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63 | static inline double _Complex exp( double _Complex x ) { return cexp( x ); } |
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64 | static inline long double _Complex exp( long double _Complex x ) { return cexpl( x ); } |
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65 | |
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66 | static inline float exp2( float x ) { return exp2f( x ); } |
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67 | // extern "C" { double exp2( double ); } |
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68 | static inline long double exp2( long double x ) { return exp2l( x ); } |
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69 | //static inline float _Complex exp2( float _Complex x ) { return cexp2f( x ); } |
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70 | //static inline double _Complex exp2( double _Complex x ) { return cexp2( x ); } |
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71 | //static inline long double _Complex exp2( long double _Complex x ) { return cexp2l( x ); } |
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72 | |
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73 | static inline float expm1( float x ) { return expm1f( x ); } |
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74 | // extern "C" { double expm1( double ); } |
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75 | static inline long double expm1( long double x ) { return expm1l( x ); } |
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76 | |
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77 | static inline float pow( float x, float y ) { return powf( x, y ); } |
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78 | // extern "C" { double pow( double, double ); } |
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79 | static inline long double pow( long double x, long double y ) { return powl( x, y ); } |
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80 | static inline float _Complex pow( float _Complex x, float _Complex y ) { return cpowf( x, y ); } |
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81 | static inline double _Complex pow( double _Complex x, double _Complex y ) { return cpow( x, y ); } |
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82 | static inline long double _Complex pow( long double _Complex x, long double _Complex y ) { return cpowl( x, y ); } |
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83 | |
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84 | //---------------------- Logarithm ---------------------- |
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85 | |
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86 | static inline float log( float x ) { return logf( x ); } |
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87 | // extern "C" { double log( double ); } |
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88 | static inline long double log( long double x ) { return logl( x ); } |
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89 | static inline float _Complex log( float _Complex x ) { return clogf( x ); } |
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90 | static inline double _Complex log( double _Complex x ) { return clog( x ); } |
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91 | static inline long double _Complex log( long double _Complex x ) { return clogl( x ); } |
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92 | |
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93 | static inline float log2( float x ) { return log2f( x ); } |
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94 | // extern "C" { double log2( double ); } |
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95 | static inline long double log2( long double x ) { return log2l( x ); } |
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96 | // static inline float _Complex log2( float _Complex x ) { return clog2f( x ); } |
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97 | // static inline double _Complex log2( double _Complex x ) { return clog2( x ); } |
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98 | // static inline long double _Complex log2( long double _Complex x ) { return clog2l( x ); } |
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99 | |
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100 | static inline float log10( float x ) { return log10f( x ); } |
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101 | // extern "C" { double log10( double ); } |
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102 | static inline long double log10( long double x ) { return log10l( x ); } |
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103 | // static inline float _Complex log10( float _Complex x ) { return clog10f( x ); } |
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104 | // static inline double _Complex log10( double _Complex x ) { return clog10( x ); } |
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105 | // static inline long double _Complex log10( long double _Complex x ) { return clog10l( x ); } |
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106 | |
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107 | static inline float log1p( float x ) { return log1pf( x ); } |
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108 | // extern "C" { double log1p( double ); } |
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109 | static inline long double log1p( long double x ) { return log1pl( x ); } |
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110 | |
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111 | static inline int ilogb( float x ) { return ilogbf( x ); } |
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112 | // extern "C" { int ilogb( double ); } |
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113 | static inline int ilogb( long double x ) { return ilogbl( x ); } |
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114 | |
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115 | static inline float logb( float x ) { return logbf( x ); } |
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116 | // extern "C" { double logb( double ); } |
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117 | static inline long double logb( long double x ) { return logbl( x ); } |
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118 | |
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119 | static inline float sqrt( float x ) { return sqrtf( x ); } |
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120 | // extern "C" { double sqrt( double ); } |
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121 | static inline long double sqrt( long double x ) { return sqrtl( x ); } |
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122 | static inline float _Complex sqrt( float _Complex x ) { return csqrtf( x ); } |
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123 | static inline double _Complex sqrt( double _Complex x ) { return csqrt( x ); } |
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124 | static inline long double _Complex sqrt( long double _Complex x ) { return csqrtl( x ); } |
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125 | |
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126 | static inline float cbrt( float x ) { return cbrtf( x ); } |
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127 | // extern "C" { double cbrt( double ); } |
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128 | static inline long double cbrt( long double x ) { return cbrtl( x ); } |
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129 | |
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130 | static inline float hypot( float x, float y ) { return hypotf( x, y ); } |
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131 | // extern "C" { double hypot( double, double ); } |
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132 | static inline long double hypot( long double x, long double y ) { return hypotl( x, y ); } |
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133 | |
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134 | //---------------------- Trigonometric ---------------------- |
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135 | |
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136 | static inline float sin( float x ) { return sinf( x ); } |
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137 | // extern "C" { double sin( double ); } |
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138 | static inline long double sin( long double x ) { return sinl( x ); } |
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139 | static inline float _Complex sin( float _Complex x ) { return csinf( x ); } |
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140 | static inline double _Complex sin( double _Complex x ) { return csin( x ); } |
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141 | static inline long double _Complex sin( long double _Complex x ) { return csinl( x ); } |
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142 | |
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143 | static inline float cos( float x ) { return cosf( x ); } |
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144 | // extern "C" { double cos( double ); } |
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145 | static inline long double cos( long double x ) { return cosl( x ); } |
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146 | static inline float _Complex cos( float _Complex x ) { return ccosf( x ); } |
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147 | static inline double _Complex cos( double _Complex x ) { return ccos( x ); } |
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148 | static inline long double _Complex cos( long double _Complex x ) { return ccosl( x ); } |
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149 | |
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150 | static inline float tan( float x ) { return tanf( x ); } |
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151 | // extern "C" { double tan( double ); } |
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152 | static inline long double tan( long double x ) { return tanl( x ); } |
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153 | static inline float _Complex tan( float _Complex x ) { return ctanf( x ); } |
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154 | static inline double _Complex tan( double _Complex x ) { return ctan( x ); } |
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155 | static inline long double _Complex tan( long double _Complex x ) { return ctanl( x ); } |
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156 | |
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157 | static inline float asin( float x ) { return asinf( x ); } |
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158 | // extern "C" { double asin( double ); } |
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159 | static inline long double asin( long double x ) { return asinl( x ); } |
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160 | static inline float _Complex asin( float _Complex x ) { return casinf( x ); } |
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161 | static inline double _Complex asin( double _Complex x ) { return casin( x ); } |
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162 | static inline long double _Complex asin( long double _Complex x ) { return casinl( x ); } |
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163 | |
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164 | static inline float acos( float x ) { return acosf( x ); } |
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165 | // extern "C" { double acos( double ); } |
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166 | static inline long double acos( long double x ) { return acosl( x ); } |
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167 | static inline float _Complex acos( float _Complex x ) { return cacosf( x ); } |
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168 | static inline double _Complex acos( double _Complex x ) { return cacos( x ); } |
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169 | static inline long double _Complex acos( long double _Complex x ) { return cacosl( x ); } |
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170 | |
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171 | static inline float atan( float x ) { return atanf( x ); } |
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172 | // extern "C" { double atan( double ); } |
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173 | static inline long double atan( long double x ) { return atanl( x ); } |
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174 | static inline float _Complex atan( float _Complex x ) { return catanf( x ); } |
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175 | static inline double _Complex atan( double _Complex x ) { return catan( x ); } |
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176 | static inline long double _Complex atan( long double _Complex x ) { return catanl( x ); } |
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177 | |
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178 | static inline float atan2( float x, float y ) { return atan2f( x, y ); } |
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179 | // extern "C" { double atan2( double, double ); } |
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180 | static inline long double atan2( long double x, long double y ) { return atan2l( x, y ); } |
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181 | |
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182 | // alternative name for atan2 |
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183 | static inline float atan( float x, float y ) { return atan2f( x, y ); } |
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184 | static inline double atan( double x, double y ) { return atan2( x, y ); } |
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185 | static inline long double atan( long double x, long double y ) { return atan2l( x, y ); } |
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186 | |
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187 | //---------------------- Hyperbolic ---------------------- |
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188 | |
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189 | static inline float sinh( float x ) { return sinhf( x ); } |
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190 | // extern "C" { double sinh( double ); } |
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191 | static inline long double sinh( long double x ) { return sinhl( x ); } |
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192 | static inline float _Complex sinh( float _Complex x ) { return csinhf( x ); } |
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193 | static inline double _Complex sinh( double _Complex x ) { return csinh( x ); } |
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194 | static inline long double _Complex sinh( long double _Complex x ) { return csinhl( x ); } |
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195 | |
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196 | static inline float cosh( float x ) { return coshf( x ); } |
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197 | // extern "C" { double cosh( double ); } |
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198 | static inline long double cosh( long double x ) { return coshl( x ); } |
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199 | static inline float _Complex cosh( float _Complex x ) { return ccoshf( x ); } |
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200 | static inline double _Complex cosh( double _Complex x ) { return ccosh( x ); } |
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201 | static inline long double _Complex cosh( long double _Complex x ) { return ccoshl( x ); } |
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202 | |
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203 | static inline float tanh( float x ) { return tanhf( x ); } |
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204 | // extern "C" { double tanh( double ); } |
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205 | static inline long double tanh( long double x ) { return tanhl( x ); } |
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206 | static inline float _Complex tanh( float _Complex x ) { return ctanhf( x ); } |
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207 | static inline double _Complex tanh( double _Complex x ) { return ctanh( x ); } |
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208 | static inline long double _Complex tanh( long double _Complex x ) { return ctanhl( x ); } |
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209 | |
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210 | static inline float asinh( float x ) { return asinhf( x ); } |
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211 | // extern "C" { double asinh( double ); } |
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212 | static inline long double asinh( long double x ) { return asinhl( x ); } |
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213 | static inline float _Complex asinh( float _Complex x ) { return casinhf( x ); } |
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214 | static inline double _Complex asinh( double _Complex x ) { return casinh( x ); } |
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215 | static inline long double _Complex asinh( long double _Complex x ) { return casinhl( x ); } |
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216 | |
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217 | static inline float acosh( float x ) { return acoshf( x ); } |
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218 | // extern "C" { double acosh( double ); } |
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219 | static inline long double acosh( long double x ) { return acoshl( x ); } |
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220 | static inline float _Complex acosh( float _Complex x ) { return cacoshf( x ); } |
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221 | static inline double _Complex acosh( double _Complex x ) { return cacosh( x ); } |
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222 | static inline long double _Complex acosh( long double _Complex x ) { return cacoshl( x ); } |
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223 | |
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224 | static inline float atanh( float x ) { return atanhf( x ); } |
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225 | // extern "C" { double atanh( double ); } |
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226 | static inline long double atanh( long double x ) { return atanhl( x ); } |
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227 | static inline float _Complex atanh( float _Complex x ) { return catanhf( x ); } |
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228 | static inline double _Complex atanh( double _Complex x ) { return catanh( x ); } |
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229 | static inline long double _Complex atanh( long double _Complex x ) { return catanhl( x ); } |
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230 | |
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231 | //---------------------- Error / Gamma ---------------------- |
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232 | |
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233 | static inline float erf( float x ) { return erff( x ); } |
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234 | // extern "C" { double erf( double ); } |
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235 | static inline long double erf( long double x ) { return erfl( x ); } |
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236 | // float _Complex erf( float _Complex ); |
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237 | // double _Complex erf( double _Complex ); |
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238 | // long double _Complex erf( long double _Complex ); |
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239 | |
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240 | static inline float erfc( float x ) { return erfcf( x ); } |
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241 | // extern "C" { double erfc( double ); } |
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242 | static inline long double erfc( long double x ) { return erfcl( x ); } |
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243 | // float _Complex erfc( float _Complex ); |
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244 | // double _Complex erfc( double _Complex ); |
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245 | // long double _Complex erfc( long double _Complex ); |
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246 | |
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247 | static inline float lgamma( float x ) { return lgammaf( x ); } |
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248 | // extern "C" { double lgamma( double ); } |
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249 | static inline long double lgamma( long double x ) { return lgammal( x ); } |
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250 | static inline float lgamma( float x, int * sign ) { return lgammaf_r( x, sign ); } |
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251 | static inline double lgamma( double x, int * sign ) { return lgamma_r( x, sign ); } |
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252 | static inline long double lgamma( long double x, int * sign ) { return lgammal_r( x, sign ); } |
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253 | |
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254 | static inline float tgamma( float x ) { return tgammaf( x ); } |
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255 | // extern "C" { double tgamma( double ); } |
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256 | static inline long double tgamma( long double x ) { return tgammal( x ); } |
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257 | |
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258 | //---------------------- Nearest Integer ---------------------- |
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259 | |
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260 | static inline float floor( float x ) { return floorf( x ); } |
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261 | // extern "C" { double floor( double ); } |
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262 | static inline long double floor( long double x ) { return floorl( x ); } |
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263 | |
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264 | static inline float ceil( float x ) { return ceilf( x ); } |
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265 | // extern "C" { double ceil( double ); } |
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266 | static inline long double ceil( long double x ) { return ceill( x ); } |
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267 | |
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268 | static inline float trunc( float x ) { return truncf( x ); } |
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269 | // extern "C" { double trunc( double ); } |
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270 | static inline long double trunc( long double x ) { return truncl( x ); } |
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271 | |
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272 | static inline float rint( float x ) { return rintf( x ); } |
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273 | // extern "C" { double rint( double x ); } |
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274 | static inline long double rint( long double x ) { return rintl( x ); } |
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275 | static inline long int rint( float x ) { return lrintf( x ); } |
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276 | static inline long int rint( double x ) { return lrint( x ); } |
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277 | static inline long int rint( long double x ) { return lrintl( x ); } |
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278 | static inline long long int rint( float x ) { return llrintf( x ); } |
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279 | static inline long long int rint( double x ) { return llrint( x ); } |
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280 | static inline long long int rint( long double x ) { return llrintl( x ); } |
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281 | |
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282 | static inline long int lrint( float x ) { return lrintf( x ); } |
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283 | // extern "C" { long int lrint( double ); } |
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284 | static inline long int lrint( long double x ) { return lrintl( x ); } |
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285 | static inline long long int llrint( float x ) { return llrintf( x ); } |
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286 | // extern "C" { long long int llrint( double ); } |
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287 | static inline long long int llrint( long double x ) { return llrintl( x ); } |
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288 | |
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289 | static inline float nearbyint( float x ) { return nearbyintf( x ); } |
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290 | // extern "C" { double nearbyint( double ); } |
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291 | static inline long double nearbyint( long double x ) { return nearbyintl( x ); } |
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292 | |
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293 | static inline float round( float x ) { return roundf( x ); } |
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294 | // extern "C" { double round( double x ); } |
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295 | static inline long double round( long double x ) { return roundl( x ); } |
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296 | static inline long int round( float x ) { return lroundf( x ); } |
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297 | static inline long int round( double x ) { return lround( x ); } |
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298 | static inline long int round( long double x ) { return lroundl( x ); } |
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299 | static inline long long int round( float x ) { return llroundf( x ); } |
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300 | static inline long long int round( double x ) { return llround( x ); } |
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301 | static inline long long int round( long double x ) { return llroundl( x ); } |
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302 | |
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303 | static inline long int lround( float x ) { return lroundf( x ); } |
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304 | // extern "C" { long int lround( double ); } |
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305 | static inline long int lround( long double x ) { return lroundl( x ); } |
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306 | static inline long long int llround( float x ) { return llroundf( x ); } |
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307 | // extern "C" { long long int llround( double ); } |
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308 | static inline long long int llround( long double x ) { return llroundl( x ); } |
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309 | |
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310 | //---------------------- Manipulation ---------------------- |
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311 | |
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312 | static inline float copysign( float x, float y ) { return copysignf( x, y ); } |
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313 | // extern "C" { double copysign( double, double ); } |
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314 | static inline long double copysign( long double x, long double y ) { return copysignl( x, y ); } |
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315 | |
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316 | static inline float frexp( float x, int * ip ) { return frexpf( x, ip ); } |
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317 | // extern "C" { double frexp( double, int * ); } |
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318 | static inline long double frexp( long double x, int * ip ) { return frexpl( x, ip ); } |
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319 | |
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320 | static inline float ldexp( float x, int exp2 ) { return ldexpf( x, exp2 ); } |
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321 | // extern "C" { double ldexp( double, int ); } |
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322 | static inline long double ldexp( long double x, int exp2 ) { return ldexpl( x, exp2 ); } |
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323 | |
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324 | static inline [ float, float ] modf( float x ) { float i; x = modff( x, &i ); return [ i, x ]; } |
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325 | static inline float modf( float x, float * i ) { return modff( x, i ); } |
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326 | static inline [ double, double ] modf( double x ) { double i; x = modf( x, &i ); return [ i, x ]; } |
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327 | // extern "C" { double modf( double, double * ); } |
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328 | static inline [ long double, long double ] modf( long double x ) { long double i; x = modfl( x, &i ); return [ i, x ]; } |
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329 | static inline long double modf( long double x, long double * i ) { return modfl( x, i ); } |
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330 | |
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331 | static inline float nextafter( float x, float y ) { return nextafterf( x, y ); } |
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332 | // extern "C" { double nextafter( double, double ); } |
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333 | static inline long double nextafter( long double x, long double y ) { return nextafterl( x, y ); } |
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334 | |
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335 | static inline float nexttoward( float x, long double y ) { return nexttowardf( x, y ); } |
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336 | // extern "C" { double nexttoward( double, long double ); } |
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337 | static inline long double nexttoward( long double x, long double y ) { return nexttowardl( x, y ); } |
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338 | |
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339 | static inline float scalbn( float x, int exp ) { return scalbnf( x, exp ); } |
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340 | // extern "C" { double scalbn( double, int ); } |
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341 | static inline long double scalbn( long double x, int exp ) { return scalbnl( x, exp ); } |
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342 | static inline float scalbn( float x, long int exp ) { return scalblnf( x, exp ); } |
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343 | static inline double scalbn( double x, long int exp ) { return scalbln( x, exp ); } |
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344 | static inline long double scalbn( long double x, long int exp ) { return scalblnl( x, exp ); } |
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345 | |
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346 | static inline float scalbln( float x, long int exp ) { return scalblnf( x, exp ); } |
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347 | // extern "C" { double scalbln( double, long int ); } |
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348 | static inline long double scalbln( long double x, long int exp ) { return scalblnl( x, exp ); } |
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349 | |
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350 | // Local Variables: // |
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351 | // mode: c // |
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352 | // tab-width: 4 // |
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353 | // End: // |
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