| 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
|
|---|
| 427 | }
|
|---|
| 428 | #endif
|
|---|
| 429 |
|
|---|
| 430 | #endif
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|---|
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