1 | /* http://pubs.opengroup.org/onlinepubs/9699919799/basedefs/tgmath.h.html */ |
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2 | /*- |
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3 | * Copyright (c) 2004 Stefan Farfeleder. |
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4 | * All rights reserved. |
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5 | * |
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6 | * Redistribution and use in source and binary forms, with or without |
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7 | * modification, are permitted provided that the following conditions |
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8 | * are met: |
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9 | * 1. Redistributions of source code must retain the above copyright |
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10 | * notice, this list of conditions and the following disclaimer. |
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11 | * 2. Redistributions in binary form must reproduce the above copyright |
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12 | * notice, this list of conditions and the following disclaimer in the |
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13 | * documentation and/or other materials provided with the distribution. |
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14 | * |
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15 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND |
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16 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
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17 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
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18 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE |
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19 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
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20 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
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21 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
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22 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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23 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
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24 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
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25 | * SUCH DAMAGE. |
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26 | * |
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27 | * $FreeBSD$ |
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28 | */ |
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29 | |
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30 | #ifndef _TGMATH_H_ |
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31 | #define _TGMATH_H_ |
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32 | |
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33 | #include <complex.h> |
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34 | #include <math.h> |
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35 | |
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36 | #ifdef log2 |
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37 | #undef log2 |
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38 | #endif |
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39 | |
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40 | /* |
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41 | * This implementation of <tgmath.h> requires two implementation-dependent |
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42 | * macros to be defined: |
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43 | * __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) |
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44 | * Invokes fnl() if the corresponding real type of x, y or z is long |
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45 | * double, fn() if it is double or any has an integer type, and fnf() |
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46 | * otherwise. |
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47 | * __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...) |
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48 | * Invokes [c]fnl() if the corresponding real type of x, y or z is long |
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49 | * double, [c]fn() if it is double or any has an integer type, and |
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50 | * [c]fnf() otherwise. The function with the 'c' prefix is called if |
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51 | * any of x, y or z is a complex number. |
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52 | * Both macros call the chosen function with all additional arguments passed |
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53 | * to them, as given by __VA_ARGS__. |
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54 | * |
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55 | * Note that these macros cannot be implemented with C's ?: operator, |
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56 | * because the return type of the whole expression would incorrectly be long |
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57 | * double complex regardless of the argument types. |
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58 | */ |
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59 | |
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60 | /* requires GCC >= 3.1 */ |
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61 | #if !__GNUC_PREREQ (3, 1) |
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62 | #error "<tgmath.h> not implemented for this compiler" |
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63 | #endif |
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64 | |
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65 | #define __tg_type(__e, __t) \ |
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66 | __builtin_types_compatible_p(__typeof__(__e), __t) |
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67 | #define __tg_type3(__e1, __e2, __e3, __t) \ |
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68 | (__tg_type(__e1, __t) || __tg_type(__e2, __t) || \ |
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69 | __tg_type(__e3, __t)) |
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70 | #define __tg_type_corr(__e1, __e2, __e3, __t) \ |
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71 | (__tg_type3(__e1, __e2, __e3, __t) || \ |
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72 | __tg_type3(__e1, __e2, __e3, __t _Complex)) |
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73 | #define __tg_integer(__e1, __e2, __e3) \ |
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74 | (((__typeof__(__e1))1.5 == 1) || ((__typeof__(__e2))1.5 == 1) || \ |
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75 | ((__typeof__(__e3))1.5 == 1)) |
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76 | #define __tg_is_complex(__e1, __e2, __e3) \ |
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77 | (__tg_type3(__e1, __e2, __e3, float _Complex) || \ |
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78 | __tg_type3(__e1, __e2, __e3, double _Complex) || \ |
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79 | __tg_type3(__e1, __e2, __e3, long double _Complex) || \ |
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80 | __tg_type3(__e1, __e2, __e3, __typeof__(_Complex_I))) |
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81 | |
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82 | #if defined (_LDBL_EQ_DBL) || defined (__CYGWIN__) |
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83 | #define __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) \ |
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84 | __builtin_choose_expr(__tg_type_corr(x, y, z, long double), \ |
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85 | fnl(__VA_ARGS__), __builtin_choose_expr( \ |
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86 | __tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\ |
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87 | fn(__VA_ARGS__), fnf(__VA_ARGS__))) |
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88 | #else |
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89 | #define __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, ...) \ |
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90 | (__tg_type_corr(__x, __y, __z, double) || __tg_integer(__x, __y, __z)) \ |
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91 | ? __fn(__VA_ARGS__) : __fnf(__VA_ARGS__) |
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92 | #endif |
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93 | |
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94 | #define __tg_impl_full(__x, __y, __z, __fn, __fnf, __fnl, __cfn, __cfnf, __cfnl, ...) \ |
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95 | __builtin_choose_expr(__tg_is_complex(__x, __y, __z), \ |
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96 | __tg_impl_simple(__x, __y, __z, __cfn, __cfnf, __cfnl, __VA_ARGS__), \ |
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97 | __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, __VA_ARGS__)) |
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98 | |
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99 | /* Macros to save lots of repetition below */ |
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100 | #define __tg_simple(__x, __fn) \ |
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101 | __tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __x) |
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102 | #define __tg_simple2(__x, __y, __fn) \ |
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103 | __tg_impl_simple(__x, __x, __y, __fn, __fn##f, __fn##l, __x, __y) |
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104 | #define __tg_simplev(__x, __fn, ...) \ |
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105 | __tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __VA_ARGS__) |
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106 | #define __tg_full(__x, __fn) \ |
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107 | __tg_impl_full(__x, __x, __x, __fn, __fn##f, __fn##l, c##__fn, c##__fn##f, c##__fn##l, __x) |
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108 | |
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109 | /* 7.22#4 -- These macros expand to real or complex functions, depending on |
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110 | * the type of their arguments. */ |
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111 | #define acos(__x) __tg_full(__x, acos) |
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112 | #define asin(__x) __tg_full(__x, asin) |
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113 | #define atan(__x) __tg_full(__x, atan) |
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114 | #define acosh(__x) __tg_full(__x, acosh) |
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115 | #define asinh(__x) __tg_full(__x, asinh) |
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116 | #define atanh(__x) __tg_full(__x, atanh) |
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117 | #define cos(__x) __tg_full(__x, cos) |
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118 | #define sin(__x) __tg_full(__x, sin) |
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119 | #define tan(__x) __tg_full(__x, tan) |
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120 | #define cosh(__x) __tg_full(__x, cosh) |
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121 | #define sinh(__x) __tg_full(__x, sinh) |
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122 | #define tanh(__x) __tg_full(__x, tanh) |
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123 | #define exp(__x) __tg_full(__x, exp) |
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124 | #define log(__x) __tg_full(__x, log) |
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125 | #define pow(__x, __y) __tg_impl_full(__x, __x, __y, pow, powf, powl, \ |
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126 | cpow, cpowf, cpowl, __x, __y) |
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127 | #define sqrt(__x) __tg_full(__x, sqrt) |
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128 | |
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129 | /* "The corresponding type-generic macro for fabs and cabs is fabs." */ |
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130 | #define fabs(__x) __tg_impl_full(__x, __x, __x, fabs, fabsf, fabsl, \ |
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131 | cabs, cabsf, cabsl, __x) |
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132 | |
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133 | /* 7.22#5 -- These macros are only defined for arguments with real type. */ |
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134 | #define atan2(__x, __y) __tg_simple2(__x, __y, atan2) |
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135 | #define cbrt(__x) __tg_simple(__x, cbrt) |
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136 | #define ceil(__x) __tg_simple(__x, ceil) |
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137 | #define copysign(__x, __y) __tg_simple2(__x, __y, copysign) |
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138 | #define erf(__x) __tg_simple(__x, erf) |
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139 | #define erfc(__x) __tg_simple(__x, erfc) |
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140 | #define exp2(__x) __tg_simple(__x, exp2) |
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141 | #define expm1(__x) __tg_simple(__x, expm1) |
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142 | #define fdim(__x, __y) __tg_simple2(__x, __y, fdim) |
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143 | #define floor(__x) __tg_simple(__x, floor) |
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144 | #define fma(__x, __y, __z) __tg_impl_simple(__x, __y, __z, fma, fmaf, fmal, \ |
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145 | __x, __y, __z) |
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146 | #define fmax(__x, __y) __tg_simple2(__x, __y, fmax) |
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147 | #define fmin(__x, __y) __tg_simple2(__x, __y, fmin) |
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148 | #define fmod(__x, __y) __tg_simple2(__x, __y, fmod) |
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149 | #define frexp(__x, __y) __tg_simplev(__x, frexp, __x, __y) |
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150 | #define hypot(__x, __y) __tg_simple2(__x, __y, hypot) |
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151 | #define ilogb(__x) __tg_simple(__x, ilogb) |
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152 | #define ldexp(__x, __y) __tg_simplev(__x, ldexp, __x, __y) |
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153 | #define lgamma(__x) __tg_simple(__x, lgamma) |
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154 | #define llrint(__x) __tg_simple(__x, llrint) |
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155 | #define llround(__x) __tg_simple(__x, llround) |
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156 | #define log10(__x) __tg_simple(__x, log10) |
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157 | #define log1p(__x) __tg_simple(__x, log1p) |
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158 | #define log2(__x) __tg_simple(__x, log2) |
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159 | #define logb(__x) __tg_simple(__x, logb) |
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160 | #define lrint(__x) __tg_simple(__x, lrint) |
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161 | #define lround(__x) __tg_simple(__x, lround) |
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162 | #define nearbyint(__x) __tg_simple(__x, nearbyint) |
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163 | #define nextafter(__x, __y) __tg_simple2(__x, __y, nextafter) |
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164 | /* not yet implemented even for _LDBL_EQ_DBL platforms */ |
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165 | #ifdef __CYGWIN__ |
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166 | #define nexttoward(__x, __y) __tg_simplev(__x, nexttoward, __x, __y) |
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167 | #endif |
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168 | #define remainder(__x, __y) __tg_simple2(__x, __y, remainder) |
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169 | #define remquo(__x, __y, __z) __tg_impl_simple(__x, __x, __y, remquo, remquof, \ |
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170 | remquol, __x, __y, __z) |
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171 | #define rint(__x) __tg_simple(__x, rint) |
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172 | #define round(__x) __tg_simple(__x, round) |
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173 | #define scalbn(__x, __y) __tg_simplev(__x, scalbn, __x, __y) |
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174 | #define scalbln(__x, __y) __tg_simplev(__x, scalbln, __x, __y) |
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175 | #define tgamma(__x) __tg_simple(__x, tgamma) |
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176 | #define trunc(__x) __tg_simple(__x, trunc) |
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177 | |
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178 | /* 7.22#6 -- These macros always expand to complex functions. */ |
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179 | #define carg(__x) __tg_simple(__x, carg) |
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180 | #define cimag(__x) __tg_simple(__x, cimag) |
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181 | #define conj(__x) __tg_simple(__x, conj) |
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182 | #define cproj(__x) __tg_simple(__x, cproj) |
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183 | #define creal(__x) __tg_simple(__x, creal) |
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184 | |
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185 | #endif /* !_TGMATH_H_ */ |
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