506 lines
13 KiB
C
506 lines
13 KiB
C
#ifndef _MATH_H
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#define _MATH_H
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#ifdef __cplusplus
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extern "C" {
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#endif
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#ifdef __FP_FAST_FMA
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#define FP_FAST_FMA 1
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#endif
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#ifdef __FP_FAST_FMAF
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#define FP_FAST_FMAF 1
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#endif
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#ifdef __FP_FAST_FMAL
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#define FP_FAST_FMAL 1
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#endif
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#ifdef __FLT_EVAL_METHOD__
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#define FLT_EVAL_METHOD __FLT_EVAL_METHOD__
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#else
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#define FLT_EVAL_METHOD 0
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#endif
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#define float_t float
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#define double_t double
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#define LDBL_TRUE_MIN 3.6451995318824746025e-4951L
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#define LDBL_MIN 3.3621031431120935063e-4932L
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#define LDBL_MAX 1.1897314953572317650e+4932L
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#define LDBL_EPSILON 1.0842021724855044340e-19L
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#define LDBL_MANT_DIG 64
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#define LDBL_MIN_EXP (-16381)
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#define LDBL_MAX_EXP 16384
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#define LDBL_DIG 18
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#define LDBL_MIN_10_EXP (-4931)
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#define LDBL_MAX_10_EXP 4932
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#define DECIMAL_DIG 21
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#define FLT_ROUNDS (__flt_rounds())
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#define FLT_RADIX 2
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#define FLT_TRUE_MIN 1.40129846432481707092e-45F
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#define FLT_MIN 1.17549435082228750797e-38F
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#define FLT_MAX 3.40282346638528859812e+38F
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#define FLT_EPSILON 1.1920928955078125e-07F
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#define FLT_MANT_DIG 24
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#define FLT_MIN_EXP (-125)
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#define FLT_MAX_EXP 128
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#define FLT_HAS_SUBNORM 1
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#define FLT_DIG 6
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#define FLT_DECIMAL_DIG 9
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#define FLT_MIN_10_EXP (-37)
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#define FLT_MAX_10_EXP 38
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#define DBL_TRUE_MIN 4.94065645841246544177e-324
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#define DBL_MIN 2.22507385850720138309e-308
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#define DBL_MAX 1.79769313486231570815e+308
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#define DBL_EPSILON 2.22044604925031308085e-16
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#define DBL_MANT_DIG 53
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#define DBL_MIN_EXP (-1021)
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#define DBL_MAX_EXP 1024
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#define DBL_HAS_SUBNORM 1
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#define DBL_DIG 15
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#define DBL_DECIMAL_DIG 17
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#define DBL_MIN_10_EXP (-307)
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#define DBL_MAX_10_EXP 308
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#define LDBL_HAS_SUBNORM 1
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#define LDBL_DECIMAL_DIG DECIMAL_DIG
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#define NAN __builtin_nanf("")
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#define INFINITY __builtin_inff()
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#define HUGE_VALF INFINITY
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#define HUGE_VAL ((double)INFINITY)
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#define HUGE_VALL ((long double)INFINITY)
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#define MATH_ERRNO 1
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#define MATH_ERREXCEPT 2
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#define math_errhandling 2
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#define FP_ILOGBNAN (-1-0x7fffffff)
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#define FP_ILOGB0 FP_ILOGBNAN
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#define FP_NAN 0
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#define FP_INFINITE 1
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#define FP_ZERO 2
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#define FP_SUBNORMAL 3
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#define FP_NORMAL 4
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#define FE_INVALID 1
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#define __FE_DENORM 2
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#define FE_DIVBYZERO 4
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#define FE_OVERFLOW 8
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#define FE_UNDERFLOW 16
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#define FE_INEXACT 32
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#define FE_ALL_EXCEPT 63
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#define FE_TONEAREST 0
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#define FE_DOWNWARD 0x400
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#define FE_UPWARD 0x800
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#define FE_TOWARDZERO 0xc00
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#define FE_DFL_ENV ((const fenv_t *) -1)
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typedef unsigned short fexcept_t;
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typedef struct {
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unsigned short __control_word;
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unsigned short __unused1;
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unsigned short __status_word;
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unsigned short __unused2;
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unsigned short __tags;
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unsigned short __unused3;
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unsigned int __eip;
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unsigned short __cs_selector;
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unsigned int __opcode:11;
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unsigned int __unused4:5;
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unsigned int __data_offset;
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unsigned short __data_selector;
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unsigned short __unused5;
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unsigned int __mxcsr;
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} fenv_t;
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int __flt_rounds(void);
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int __fpclassify(double);
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int __fpclassifyf(float);
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int __fpclassifyl(long double);
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static __inline unsigned __FLOAT_BITS(float __f)
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{
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union {float __f; unsigned __i;} __u;
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__u.__f = __f;
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return __u.__i;
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}
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static __inline unsigned long long __DOUBLE_BITS(double __f)
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{
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union {double __f; unsigned long long __i;} __u;
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__u.__f = __f;
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return __u.__i;
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}
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#define fpclassify(x) ( \
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sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
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sizeof(x) == sizeof(double) ? __fpclassify(x) : \
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__fpclassifyl(x) )
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#define isinf(x) ( \
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sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
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sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<<52 : \
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__fpclassifyl(x) == FP_INFINITE)
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#define isnan(x) ( \
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sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
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sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<52 : \
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__fpclassifyl(x) == FP_NAN)
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#define isnormal(x) ( \
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sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
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sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1) >= 1ULL<<53 : \
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__fpclassifyl(x) == FP_NORMAL)
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#define isfinite(x) ( \
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sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
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sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<52 : \
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__fpclassifyl(x) > FP_INFINITE)
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int __signbit(double);
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int __signbitf(float);
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int __signbitl(long double);
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#define signbit(x) ( \
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sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
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sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
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__signbitl(x) )
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#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
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#define __ISREL_DEF(rel, op, type) \
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static __inline int __is##rel(type __x, type __y) \
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{ return !isunordered(__x,__y) && __x op __y; }
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__ISREL_DEF(lessf, <, float_t)
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__ISREL_DEF(less, <, double_t)
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__ISREL_DEF(lessl, <, long double)
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__ISREL_DEF(lessequalf, <=, float_t)
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__ISREL_DEF(lessequal, <=, double_t)
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__ISREL_DEF(lessequall, <=, long double)
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__ISREL_DEF(lessgreaterf, !=, float_t)
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__ISREL_DEF(lessgreater, !=, double_t)
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__ISREL_DEF(lessgreaterl, !=, long double)
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__ISREL_DEF(greaterf, >, float_t)
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__ISREL_DEF(greater, >, double_t)
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__ISREL_DEF(greaterl, >, long double)
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__ISREL_DEF(greaterequalf, >=, float_t)
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__ISREL_DEF(greaterequal, >=, double_t)
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__ISREL_DEF(greaterequall, >=, long double)
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#define __tg_pred_2(x, y, p) ( \
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sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
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sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
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p##l(x, y) )
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#define isless(x, y) __tg_pred_2(x, y, __isless)
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#define islessequal(x, y) __tg_pred_2(x, y, __islessequal)
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#define islessgreater(x, y) __tg_pred_2(x, y, __islessgreater)
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#define isgreater(x, y) __tg_pred_2(x, y, __isgreater)
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#define isgreaterequal(x, y) __tg_pred_2(x, y, __isgreaterequal)
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int feclearexcept(int);
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int fegetexceptflag(fexcept_t *, int);
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int feraiseexcept(int);
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int fesetexceptflag(const fexcept_t *, int);
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int fetestexcept(int);
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int fegetround(void);
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int fesetround(int);
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int fegetenv(fenv_t *);
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int feholdexcept(fenv_t *);
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int fesetenv(const fenv_t *);
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int feupdateenv(const fenv_t *);
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double acos(double);
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float acosf(float);
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long double acosl(long double);
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double acosh(double);
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float acoshf(float);
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long double acoshl(long double);
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double asin(double);
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float asinf(float);
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long double asinl(long double);
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double asinh(double);
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float asinhf(float);
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long double asinhl(long double);
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double atan(double);
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float atanf(float);
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long double atanl(long double);
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double atan2(double, double);
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float atan2f(float, float);
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long double atan2l(long double, long double);
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double atanh(double);
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float atanhf(float);
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long double atanhl(long double);
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double cbrt(double);
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float cbrtf(float);
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long double cbrtl(long double);
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double ceil(double);
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float ceilf(float);
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long double ceill(long double);
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double copysign(double, double);
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float copysignf(float, float);
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long double copysignl(long double, long double);
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double cos(double);
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float cosf(float);
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long double cosl(long double);
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double cosh(double);
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float coshf(float);
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long double coshl(long double);
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double erf(double);
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float erff(float);
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long double erfl(long double);
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double erfc(double);
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float erfcf(float);
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long double erfcl(long double);
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double exp(double);
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float expf(float);
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long double expl(long double);
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double exp2(double);
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float exp2f(float);
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long double exp2l(long double);
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double expm1(double);
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float expm1f(float);
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long double expm1l(long double);
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double fabs(double);
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float fabsf(float);
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long double fabsl(long double);
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double fdim(double, double);
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float fdimf(float, float);
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long double fdiml(long double, long double);
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double floor(double);
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float floorf(float);
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long double floorl(long double);
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double fma(double, double, double);
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float fmaf(float, float, float);
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long double fmal(long double, long double, long double);
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double fmax(double, double);
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float fmaxf(float, float);
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long double fmaxl(long double, long double);
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double fmin(double, double);
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float fminf(float, float);
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long double fminl(long double, long double);
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double fmod(double, double);
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float fmodf(float, float);
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long double fmodl(long double, long double);
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double frexp(double, int *);
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float frexpf(float, int *);
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long double frexpl(long double, int *);
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double hypot(double, double);
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float hypotf(float, float);
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long double hypotl(long double, long double);
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int ilogb(double);
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int ilogbf(float);
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int ilogbl(long double);
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double ldexp(double, int);
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float ldexpf(float, int);
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long double ldexpl(long double, int);
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double lgamma(double);
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float lgammaf(float);
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long double lgammal(long double);
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long long llrint(double);
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long long llrintf(float);
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long long llrintl(long double);
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long long llround(double);
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long long llroundf(float);
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long long llroundl(long double);
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double log(double);
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float logf(float);
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long double logl(long double);
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double log10(double);
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float log10f(float);
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long double log10l(long double);
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double log1p(double);
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float log1pf(float);
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long double log1pl(long double);
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double log2(double);
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float log2f(float);
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long double log2l(long double);
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double logb(double);
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float logbf(float);
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long double logbl(long double);
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long lrint(double);
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long lrintf(float);
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long lrintl(long double);
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long lround(double);
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long lroundf(float);
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long lroundl(long double);
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double modf(double, double *);
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float modff(float, float *);
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long double modfl(long double, long double *);
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double nan(const char *);
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float nanf(const char *);
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long double nanl(const char *);
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double nearbyint(double);
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float nearbyintf(float);
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long double nearbyintl(long double);
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double nextafter(double, double);
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float nextafterf(float, float);
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long double nextafterl(long double, long double);
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double nexttoward(double, long double);
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float nexttowardf(float, long double);
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long double nexttowardl(long double, long double);
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double pow(double, double);
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float powf(float, float);
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long double powl(long double, long double);
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double remainder(double, double);
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float remainderf(float, float);
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long double remainderl(long double, long double);
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double remquo(double, double, int *);
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float remquof(float, float, int *);
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long double remquol(long double, long double, int *);
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double rint(double);
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float rintf(float);
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long double rintl(long double);
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double round(double);
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float roundf(float);
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long double roundl(long double);
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double scalbln(double, long);
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float scalblnf(float, long);
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long double scalblnl(long double, long);
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double scalbn(double, int);
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float scalbnf(float, int);
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long double scalbnl(long double, int);
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double sin(double);
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float sinf(float);
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long double sinl(long double);
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double sinh(double);
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float sinhf(float);
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long double sinhl(long double);
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double sqrt(double);
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float sqrtf(float);
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long double sqrtl(long double);
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double tan(double);
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float tanf(float);
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long double tanl(long double);
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double tanh(double);
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float tanhf(float);
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long double tanhl(long double);
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double tgamma(double);
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float tgammaf(float);
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long double tgammal(long double);
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double trunc(double);
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float truncf(float);
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long double truncl(long double);
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#undef MAXFLOAT
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#define MAXFLOAT 3.40282346638528859812e+38F
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#define M_E 2.7182818284590452354 /* e */
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#define M_LOG2E 1.4426950408889634074 /* log_2 e */
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#define M_LOG10E 0.43429448190325182765 /* log_10 e */
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#define M_LN2 0.69314718055994530942 /* log_e 2 */
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#define M_LN10 2.30258509299404568402 /* log_e 10 */
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#define M_PI 3.14159265358979323846 /* pi */
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#define M_PI_2 1.57079632679489661923 /* pi/2 */
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#define M_PI_4 0.78539816339744830962 /* pi/4 */
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#define M_1_PI 0.31830988618379067154 /* 1/pi */
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#define M_2_PI 0.63661977236758134308 /* 2/pi */
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#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
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#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
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#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
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extern int signgam;
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double j0(double);
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double j1(double);
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double jn(int, double);
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double y0(double);
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double y1(double);
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double yn(int, double);
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#define HUGE 3.40282346638528859812e+38F
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double drem(double, double);
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float dremf(float, float);
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int finite(double);
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int finitef(float);
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double scalb(double, double);
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float scalbf(float, float);
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double significand(double);
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float significandf(float);
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double lgamma_r(double, int*);
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float lgammaf_r(float, int*);
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float j0f(float);
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float j1f(float);
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float jnf(int, float);
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float y0f(float);
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float y1f(float);
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float ynf(int, float);
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long double lgammal_r(long double, int*);
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void sincos(double, double*, double*);
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void sincosf(float, float*, float*);
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void sincosl(long double, long double*, long double*);
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double exp10(double);
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float exp10f(float);
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long double exp10l(long double);
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double pow10(double);
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float pow10f(float);
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long double pow10l(long double);
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#ifdef __cplusplus
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}
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#endif
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#endif
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