1 | #ifndef _MATH_H
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2 | #define _MATH_H
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3 |
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4 | #ifdef __cplusplus
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5 | extern "C" {
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6 | #endif
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7 |
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8 | #include <features.h>
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9 |
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10 | #define __NEED_float_t
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11 | #define __NEED_double_t
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12 | #include <bits/alltypes.h>
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13 |
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14 | #if 100*__GNUC__+__GNUC_MINOR__ >= 303
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15 | #define NAN __builtin_nanf("")
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16 | #define INFINITY __builtin_inff()
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17 | #else
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18 | #define NAN (0.0f/0.0f)
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19 | #define INFINITY 1e5000f
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20 | #endif
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21 |
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22 | #define HUGE_VALF INFINITY
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23 | #define HUGE_VAL ((double)INFINITY)
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24 | #define HUGE_VALL ((long double)INFINITY)
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25 |
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26 | #define MATH_ERRNO 1
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27 | #define MATH_ERREXCEPT 2
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28 | #define math_errhandling 2
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29 |
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30 | #define FP_ILOGBNAN (-1-(int)(((unsigned)-1)>>1))
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31 | #define FP_ILOGB0 FP_ILOGBNAN
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32 |
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33 | #define FP_NAN 0
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34 | #define FP_INFINITE 1
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35 | #define FP_ZERO 2
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36 | #define FP_SUBNORMAL 3
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37 | #define FP_NORMAL 4
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38 |
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39 | int __fpclassify(double);
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40 | int __fpclassifyf(float);
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41 | int __fpclassifyl(long double);
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42 |
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43 | static __inline unsigned __FLOAT_BITS(float __f)
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44 | {
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45 | union {float __f; unsigned __i;} __u;
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46 | __u.__f = __f;
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47 | return __u.__i;
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48 | }
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49 | static __inline unsigned long long __DOUBLE_BITS(double __f)
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50 | {
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51 | union {double __f; unsigned long long __i;} __u;
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52 | __u.__f = __f;
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53 | return __u.__i;
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54 | }
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55 |
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56 | #define fpclassify(x) ( \
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57 | sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
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58 | sizeof(x) == sizeof(double) ? __fpclassify(x) : \
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59 | __fpclassifyl(x) )
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60 |
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61 | #define isinf(x) ( \
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62 | sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
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63 | sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<<52 : \
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64 | __fpclassifyl(x) == FP_INFINITE)
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65 |
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66 | #define isnan(x) ( \
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67 | sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
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68 | sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<52 : \
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69 | __fpclassifyl(x) == FP_NAN)
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70 |
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71 | #define isnormal(x) ( \
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72 | sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
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73 | sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1) >= 1ULL<<53 : \
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74 | __fpclassifyl(x) == FP_NORMAL)
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75 |
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76 | #define isfinite(x) ( \
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77 | sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
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78 | sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<52 : \
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79 | __fpclassifyl(x) > FP_INFINITE)
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80 |
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81 | int __signbit(double);
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82 | int __signbitf(float);
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83 | int __signbitl(long double);
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84 |
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85 | #define signbit(x) ( \
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86 | sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
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87 | sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
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88 | __signbitl(x) )
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89 |
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90 | #define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
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91 |
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92 | #define __ISREL_DEF(rel, op, type) \
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93 | static __inline int __is##rel(type __x, type __y) \
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94 | { return !isunordered(__x,__y) && __x op __y; }
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95 |
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96 | __ISREL_DEF(lessf, <, float_t)
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97 | __ISREL_DEF(less, <, double_t)
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98 | __ISREL_DEF(lessl, <, long double)
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99 | __ISREL_DEF(lessequalf, <=, float_t)
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100 | __ISREL_DEF(lessequal, <=, double_t)
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101 | __ISREL_DEF(lessequall, <=, long double)
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102 | __ISREL_DEF(lessgreaterf, !=, float_t)
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103 | __ISREL_DEF(lessgreater, !=, double_t)
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104 | __ISREL_DEF(lessgreaterl, !=, long double)
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105 | __ISREL_DEF(greaterf, >, float_t)
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106 | __ISREL_DEF(greater, >, double_t)
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107 | __ISREL_DEF(greaterl, >, long double)
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108 | __ISREL_DEF(greaterequalf, >=, float_t)
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109 | __ISREL_DEF(greaterequal, >=, double_t)
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110 | __ISREL_DEF(greaterequall, >=, long double)
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111 |
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112 | #define __tg_pred_2(x, y, p) ( \
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113 | sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
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114 | sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
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115 | p##l(x, y) )
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116 |
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117 | #define isless(x, y) __tg_pred_2(x, y, __isless)
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118 | #define islessequal(x, y) __tg_pred_2(x, y, __islessequal)
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119 | #define islessgreater(x, y) __tg_pred_2(x, y, __islessgreater)
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120 | #define isgreater(x, y) __tg_pred_2(x, y, __isgreater)
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121 | #define isgreaterequal(x, y) __tg_pred_2(x, y, __isgreaterequal)
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122 |
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123 | double acos(double);
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124 | float acosf(float);
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125 | long double acosl(long double);
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126 |
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127 | double acosh(double);
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128 | float acoshf(float);
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129 | long double acoshl(long double);
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130 |
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131 | double asin(double);
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132 | float asinf(float);
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133 | long double asinl(long double);
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134 |
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135 | double asinh(double);
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136 | float asinhf(float);
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137 | long double asinhl(long double);
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138 |
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139 | double atan(double);
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140 | float atanf(float);
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141 | long double atanl(long double);
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142 |
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143 | double atan2(double, double);
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144 | float atan2f(float, float);
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145 | long double atan2l(long double, long double);
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146 |
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147 | double atanh(double);
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148 | float atanhf(float);
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149 | long double atanhl(long double);
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150 |
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151 | double cbrt(double);
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152 | float cbrtf(float);
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153 | long double cbrtl(long double);
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154 |
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155 | double ceil(double);
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156 | float ceilf(float);
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157 | long double ceill(long double);
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158 |
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159 | double copysign(double, double);
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160 | float copysignf(float, float);
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161 | long double copysignl(long double, long double);
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162 |
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163 | double cos(double);
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164 | float cosf(float);
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165 | long double cosl(long double);
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166 |
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167 | double cosh(double);
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168 | float coshf(float);
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169 | long double coshl(long double);
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170 |
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171 | double erf(double);
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172 | float erff(float);
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173 | long double erfl(long double);
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174 |
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175 | double erfc(double);
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176 | float erfcf(float);
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177 | long double erfcl(long double);
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178 |
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179 | double exp(double);
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180 | float expf(float);
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181 | long double expl(long double);
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182 |
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183 | double exp2(double);
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184 | float exp2f(float);
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185 | long double exp2l(long double);
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186 |
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187 | double expm1(double);
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188 | float expm1f(float);
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189 | long double expm1l(long double);
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190 |
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191 | double fabs(double);
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192 | float fabsf(float);
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193 | long double fabsl(long double);
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194 |
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195 | double fdim(double, double);
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196 | float fdimf(float, float);
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197 | long double fdiml(long double, long double);
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198 |
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199 | double floor(double);
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200 | float floorf(float);
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201 | long double floorl(long double);
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202 |
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203 | double fma(double, double, double);
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204 | float fmaf(float, float, float);
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205 | long double fmal(long double, long double, long double);
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206 |
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207 | double fmax(double, double);
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208 | float fmaxf(float, float);
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209 | long double fmaxl(long double, long double);
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210 |
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211 | double fmin(double, double);
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212 | float fminf(float, float);
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213 | long double fminl(long double, long double);
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214 |
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215 | double fmod(double, double);
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216 | float fmodf(float, float);
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217 | long double fmodl(long double, long double);
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218 |
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219 | double frexp(double, int *);
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220 | float frexpf(float, int *);
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221 | long double frexpl(long double, int *);
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222 |
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223 | double hypot(double, double);
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224 | float hypotf(float, float);
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225 | long double hypotl(long double, long double);
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226 |
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227 | int ilogb(double);
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228 | int ilogbf(float);
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229 | int ilogbl(long double);
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230 |
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231 | double ldexp(double, int);
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232 | float ldexpf(float, int);
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233 | long double ldexpl(long double, int);
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234 |
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235 | double lgamma(double);
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236 | float lgammaf(float);
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237 | long double lgammal(long double);
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238 |
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239 | long long llrint(double);
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240 | long long llrintf(float);
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241 | long long llrintl(long double);
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242 |
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243 | long long llround(double);
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244 | long long llroundf(float);
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245 | long long llroundl(long double);
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246 |
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247 | double log(double);
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248 | float logf(float);
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249 | long double logl(long double);
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250 |
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251 | double log10(double);
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252 | float log10f(float);
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253 | long double log10l(long double);
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254 |
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255 | double log1p(double);
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256 | float log1pf(float);
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257 | long double log1pl(long double);
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258 |
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259 | double log2(double);
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260 | float log2f(float);
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261 | long double log2l(long double);
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262 |
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263 | double logb(double);
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264 | float logbf(float);
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265 | long double logbl(long double);
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266 |
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267 | long lrint(double);
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268 | long lrintf(float);
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269 | long lrintl(long double);
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270 |
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271 | long lround(double);
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272 | long lroundf(float);
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273 | long lroundl(long double);
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274 |
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275 | double modf(double, double *);
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276 | float modff(float, float *);
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277 | long double modfl(long double, long double *);
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278 |
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279 | double nan(const char *);
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280 | float nanf(const char *);
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281 | long double nanl(const char *);
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282 |
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283 | double nearbyint(double);
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284 | float nearbyintf(float);
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285 | long double nearbyintl(long double);
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286 |
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287 | double nextafter(double, double);
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288 | float nextafterf(float, float);
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289 | long double nextafterl(long double, long double);
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290 |
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291 | double nexttoward(double, long double);
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292 | float nexttowardf(float, long double);
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293 | long double nexttowardl(long double, long double);
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294 |
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295 | double pow(double, double);
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296 | float powf(float, float);
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297 | long double powl(long double, long double);
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298 |
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299 | double remainder(double, double);
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300 | float remainderf(float, float);
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301 | long double remainderl(long double, long double);
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302 |
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303 | double remquo(double, double, int *);
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304 | float remquof(float, float, int *);
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305 | long double remquol(long double, long double, int *);
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306 |
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307 | double rint(double);
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308 | float rintf(float);
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309 | long double rintl(long double);
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310 |
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311 | double round(double);
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312 | float roundf(float);
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313 | long double roundl(long double);
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314 |
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315 | double scalbln(double, long);
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316 | float scalblnf(float, long);
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317 | long double scalblnl(long double, long);
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318 |
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319 | double scalbn(double, int);
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320 | float scalbnf(float, int);
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321 | long double scalbnl(long double, int);
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322 |
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323 | double sin(double);
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324 | float sinf(float);
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325 | long double sinl(long double);
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326 |
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327 | double sinh(double);
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328 | float sinhf(float);
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329 | long double sinhl(long double);
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330 |
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331 | double sqrt(double);
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332 | float sqrtf(float);
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333 | long double sqrtl(long double);
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334 |
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335 | double tan(double);
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336 | float tanf(float);
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337 | long double tanl(long double);
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338 |
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339 | double tanh(double);
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340 | float tanhf(float);
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341 | long double tanhl(long double);
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342 |
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343 | double tgamma(double);
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344 | float tgammaf(float);
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345 | long double tgammal(long double);
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346 |
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347 | double trunc(double);
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348 | float truncf(float);
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349 | long double truncl(long double);
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350 |
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351 |
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352 | #if defined(_XOPEN_SOURCE) || defined(_BSD_SOURCE)
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353 | #undef MAXFLOAT
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354 | #define MAXFLOAT 3.40282346638528859812e+38F
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355 | #endif
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356 |
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357 | #if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
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358 | #define M_E 2.7182818284590452354 /* e */
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359 | #define M_LOG2E 1.4426950408889634074 /* log_2 e */
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360 | #define M_LOG10E 0.43429448190325182765 /* log_10 e */
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361 | #define M_LN2 0.69314718055994530942 /* log_e 2 */
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362 | #define M_LN10 2.30258509299404568402 /* log_e 10 */
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363 | #define M_PI 3.14159265358979323846 /* pi */
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364 | #define M_PI_2 1.57079632679489661923 /* pi/2 */
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365 | #define M_PI_4 0.78539816339744830962 /* pi/4 */
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366 | #define M_1_PI 0.31830988618379067154 /* 1/pi */
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367 | #define M_2_PI 0.63661977236758134308 /* 2/pi */
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368 | #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
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369 | #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
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370 | #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
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371 |
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372 | extern int signgam;
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373 |
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374 | double j0(double);
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375 | double j1(double);
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376 | double jn(int, double);
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377 |
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378 | double y0(double);
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379 | double y1(double);
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380 | double yn(int, double);
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381 | #endif
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382 |
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383 | #if defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
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384 | #define HUGE 3.40282346638528859812e+38F
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385 |
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386 | double drem(double, double);
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387 | float dremf(float, float);
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388 |
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389 | int finite(double);
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390 | int finitef(float);
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391 |
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392 | double scalb(double, double);
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393 | float scalbf(float, float);
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394 |
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395 | double significand(double);
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396 | float significandf(float);
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397 |
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398 | double lgamma_r(double, int*);
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399 | float lgammaf_r(float, int*);
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400 |
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401 | float j0f(float);
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402 | float j1f(float);
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403 | float jnf(int, float);
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404 |
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405 | float y0f(float);
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406 | float y1f(float);
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407 | float ynf(int, float);
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408 | #endif
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409 |
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410 | #ifdef _GNU_SOURCE
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411 | long double lgammal_r(long double, int*);
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412 |
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413 | void sincos(double, double*, double*);
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414 | void sincosf(float, float*, float*);
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415 | void sincosl(long double, long double*, long double*);
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416 |
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417 | double exp10(double);
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418 | float exp10f(float);
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419 | long double exp10l(long double);
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420 |
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421 | double pow10(double);
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422 | float pow10f(float);
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423 | long double pow10l(long double);
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424 | #endif
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425 |
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426 | #ifdef __cplusplus
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427 | }
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428 | #endif
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429 |
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430 | #endif
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