436 lines
14 KiB
C
436 lines
14 KiB
C
/*
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* Copyright 2001-2012 Haiku, Inc. All Rights Reserved.
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* Distributed under the terms of the MIT License.
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*/
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#ifndef _MATH_H_
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#define _MATH_H_
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/* (float|double)_t typedefs */
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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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#if FLT_EVAL_METHOD == 1
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typedef double float_t;
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typedef double double_t;
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#elif FLT_EVAL_METHOD == 2
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typedef long double float_t;
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typedef long double double_t;
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#else
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typedef float float_t;
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typedef double double_t;
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#endif
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#define M_E 2.7182818284590452354 /* e */
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#define M_LOG2E 1.4426950408889634074 /* log 2e */
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#define M_LOG10E 0.43429448190325182765 /* log 10e */
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#define M_LN2 0.69314718055994530942 /* log e2 */
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#define M_LN10 2.30258509299404568402 /* log e10 */
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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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/* platform independent IEEE floating point special values */
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#if __GNUC__ >= 4
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/* gcc4 and clang definitions */
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# ifndef HUGE_VAL
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# define HUGE_VAL __builtin_huge_val()
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# endif
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# define HUGE_VALF __builtin_huge_valf()
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# define HUGE_VALL __builtin_huge_vall()
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# define NAN __builtin_nanf("")
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# define INFINITY __builtin_inff()
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#else
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/* gcc2 definitions */
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# define __HUGE_VAL_v 0x7ff0000000000000LL
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# define __huge_val_t union { unsigned char __c[8]; long long __ll; double __d; }
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# ifndef HUGE_VAL
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# define HUGE_VAL (((__huge_val_t) { __ll: __HUGE_VAL_v }).__d)
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# endif
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# define __HUGE_VALF_v 0x7f800000L
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# define __huge_valf_t union { unsigned char __c[4]; long __l; float __f; }
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# define HUGE_VALF (((__huge_valf_t) { __l: __HUGE_VALF_v }).__f)
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/* TODO: define HUGE_VALL for long doubles */
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# define __NAN_VALF_v 0x7fc00000L
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# define NAN (((__huge_valf_t) { __l: __NAN_VALF_v }).__f)
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# define INFINITY HUGE_VALF
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#endif
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#include <limits.h>
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#define MAXFLOAT FLT_MAX
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/* floating-point categories */
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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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#ifdef __FP_FAST_FMA
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#define FP_FAST_FMA __FP_FAST_FMA
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#else
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#define FP_FAST_FMA 0
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#endif
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#ifdef __FP_FAST_FMAF
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#define FP_FAST_FMAF __FP_FAST_FMAF
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#else
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#define FP_FAST_FMAF 0
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#endif
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#ifdef __FP_FAST_FMAL
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#define FP_FAST_FMAL __FP_FAST_FMAL
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#else
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#define FP_FAST_FMAL 0
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#endif
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#define FP_ILOGB0 INT_MAX
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#define FP_ILOGBNAN INT_MAX
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#ifdef __cplusplus
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struct __exception;
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extern "C" int matherr(struct __exception *);
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struct __exception {
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#else
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struct exception;
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extern int matherr(struct exception *);
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struct exception {
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#endif
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int type;
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char *name;
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double arg1;
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double arg2;
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double retval;
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};
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#define MATH_ERRNO 1
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#define MATH_ERREXCEPT 2
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#define math_errhandling 0
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#define DOMAIN 1
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#define SING 2
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#define OVERFLOW 3
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#define UNDERFLOW 4
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#define TLOSS 5
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#define PLOSS 6
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extern int signgam;
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#ifdef __cplusplus
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extern "C" {
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#endif
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/* float math functions */
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extern float acosf(float x);
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extern float acoshf(float x);
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extern float asinf(float x);
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extern float asinhf(float x);
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extern float atan2f(float y, float x);
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extern float atanf(float x);
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extern float atanhf(float x);
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extern float cbrtf(float x);
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extern float ceilf(float x);
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extern float copysignf(float x, float y);
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extern float cosf(float x);
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extern float coshf(float x);
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extern float erfcf(float x);
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extern float erff(float x);
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extern float expf(float x);
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extern float exp2f(float x);
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extern float expm1f(float x);
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extern float fabsf(float x);
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extern float fdimf(float x, float y);
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extern float floorf(float x);
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extern float fmaf(float x, float y, float z);
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extern float fmaxf(float x, float y);
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extern float fminf(float x, float y);
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extern float fmodf(float x, float y);
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extern float frexpf(float x, int *_exponent);
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extern float gammaf(float x);
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extern float hypotf(float x, float y);
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extern int ilogbf(float x);
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extern float ldexpf(float x, int exponent);
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extern float lgammaf(float x);
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extern long long llrintf(float x);
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extern long long llroundf(float x);
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extern float log10f(float x);
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extern float log1pf(float x);
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extern float log2f(float x);
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extern float logbf(float x);
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extern float logf(float x);
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extern long lrintf(float x);
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extern long lroundf(float x);
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extern float modff(float x, float *y);
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extern float nanf(const char *tagp);
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extern float nearbyintf(float x);
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extern float nextafterf(float x, float y);
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extern float nexttowardf(float x, long double y);
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extern float powf(float x, float y);
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extern float remainderf(float x, float y);
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extern float remquof(float x, float y, int *quo);
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extern float rintf(float x);
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extern float roundf(float x);
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extern float scalbf(float x, float n);
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extern float scalblnf(float x, long n);
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extern float scalbnf(float x, int n);
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extern float sinf(float x);
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extern float sinhf(float x);
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extern float sqrtf(float x);
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extern float tanf(float x);
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extern float tanhf(float x);
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extern float tgammaf(float x);
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extern float truncf(float x);
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/* double math functions */
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extern double acos(double x);
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extern double acosh(double x);
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extern double asin(double x);
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extern double asinh(double x);
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extern double atan(double x);
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extern double atan2(double x, double y);
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extern double atanh(double x);
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extern double cbrt(double x);
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extern double ceil(double x);
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extern double copysign(double x, double y);
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extern double cos(double x);
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extern double cosh(double x);
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extern double erf(double x);
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extern double erfc(double x);
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extern double exp(double x);
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extern double expm1(double x);
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extern double exp2(double x);
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extern double fabs(double x);
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extern double fdim(double x, double y);
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extern double floor(double x);
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extern double fma(double x, double y, double z);
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extern double fmax(double x, double y);
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extern double fmin(double x, double y);
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extern double fmod(double x, double y);
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extern double frexp(double x, int *_exponent);
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extern double gamma(double x);
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extern double hypot(double x, double y);
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extern int ilogb(double x);
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extern double ldexp(double x, int exponent);
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extern double lgamma(double x);
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extern long long llrint(double x);
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extern long long llround(double x);
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extern double log(double x);
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extern double log10(double x);
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extern double log1p(double x);
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extern double log2(double x);
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extern double logb(double x);
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extern long lrint(double x);
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extern long lround(double x);
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extern double modf(double x, double *y);
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extern double nan(const char* tagp);
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extern double nearbyint(double x);
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extern double nextafter(double x, double y);
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extern double nexttoward(double x, long double y);
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extern double pow(double x, double y);
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extern double remainder(double x, double y);
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extern double remquo(double x, double y, int *quo);
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extern double rint(double x);
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extern double round(double x);
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extern double scalb(double x, double y);
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extern double scalbln(double x, long n);
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extern double scalbn(double x, int y);
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extern double sin(double x);
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extern double sinh(double x);
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extern double sqrt(double x);
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extern double tan(double x);
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extern double tanh(double x);
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extern double tgamma(double x);
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extern double trunc(double x);
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/* long double math functions */
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extern long double acoshl(long double x);
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extern long double acosl(long double x);
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extern long double asinhl(long double x);
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extern long double asinl(long double x);
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extern long double atanhl(long double x);
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extern long double atanl(long double x);
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extern long double atan2l(long double y, long double x);
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extern long double cbrtl(long double x);
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extern long double ceill(long double x);
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extern long double copysignl(long double x, long double y);
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extern long double cosl(long double x);
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extern long double coshl(long double x);
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extern long double erfcl(long double x);
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extern long double erfl(long double x);
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extern long double expl(long double x);
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extern long double expm1l(long double x);
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extern long double exp2l(long double x);
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extern long double fabsl(long double x);
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extern long double fdiml(long double x, long double y);
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extern long double floorl(long double x);
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extern long double fmal(long double x, long double y, long double z);
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extern long double fmaxl(long double x, long double y);
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extern long double fminl(long double x, long double y);
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extern long double fmodl(long double x, long double y);
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extern long double frexpl(long double num, int *_exponent);
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extern long double hypotl(long double x, long double y);
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extern int ilogbl(long double x);
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extern long double ldexpl(long double x, int exponent);
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extern long double lgammal(long double x);
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extern long long llrintl(long double x);
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extern long long llroundl(long double x);
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extern long double logbl(long double x);
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extern long double logl(long double x);
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extern long double log1pl(long double x);
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extern long double log10l(long double x);
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extern long double log2l(long double x);
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extern long lrintl(long double x);
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extern long lroundl(long double x);
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extern long double modfl(long double value, long double *iptr);
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extern long double nanl(const char* tagp);
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extern long double nearbyintl(long double x);
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extern long double nextafterl(long double x, long double y);
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extern long double nexttowardl(long double x, long double y);
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extern long double powl(long double x, long double y);
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extern long double remainderl(long double x, long double y);
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extern long double remquol(long double x, long double y, int *quo);
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extern long double rintl(long double x);
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extern long double roundl(long double x);
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extern long double scalbnl(long double x, int n);
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extern long double scalblnl(long double x, long n);
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extern long double sinl(long double x);
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extern long double sinhl(long double x);
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extern long double sqrtl(long double x);
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extern long double tanl(long double x);
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extern long double tanhl(long double x);
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extern long double tgammal(long double x);
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extern long double truncl(long double x);
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/* some BSD non-ANSI or POSIX math functions */
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extern double j0(double x);
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extern double j1(double x);
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extern double jn(int x, double y);
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extern double lgamma_r(double x, int *y);
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extern double y0(double x);
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extern double y1(double x);
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extern double yn(int x, double y);
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/* other stuff as defined in BeOS */
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extern int isinff(float value);
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extern int finitef(float value);
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extern float dremf(float x, float y);
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extern float significandf(float x);
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extern int isnanf(float value);
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extern double significand(double x);
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extern double drem(double x, double y);
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extern int finite(double x);
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extern float j0f(float x);
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extern float j1f(float x);
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extern float jnf(int x, float y);
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extern float y0f(float x);
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extern float y1f(float x);
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extern float ynf(int x, float y);
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extern float lgammaf_r(float x, int *y);
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#if __GNUC__ >= 7 || defined(__clang__)
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#define fpclassify(value) \
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__builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, (value))
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#define signbit(value) __builtin_signbit((value))
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#define isfinite(value) __builtin_isfinite((value))
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#define isnormal(value) __builtin_isnormal((value))
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#define isnan(value) __builtin_isnan((value))
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#define isinf(value) __builtin_isinf_sign((value))
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#else
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/* prototypes for functions used in the macros below */
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extern int __fpclassifyf(float value);
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extern int __signbitf(float value);
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extern int __finitef(float value);
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extern int __isnanf(float value);
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extern int __isinff(float value);
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extern int __fpclassifyl(long double value);
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extern int __signbitl(long double value);
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extern int __finitel(long double value);
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extern int __isnanl(long double value);
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extern int __isinfl(long double value);
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extern int __fpclassify(double value);
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extern int __signbit(double value);
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extern int __finite(double value);
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extern int __isnan(double value);
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extern int __isinf(double value);
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/* returns number of classification appropriate for 'value' */
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#define fpclassify(value) \
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(sizeof(value) == sizeof(float) ? __fpclassifyf(value) \
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: sizeof(value) == sizeof(double) ? __fpclassify(value) \
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: __fpclassifyl(value))
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/* returns non-zero if 'value' is negative */
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# define signbit(value) \
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(sizeof(value) == sizeof(float) ? __signbitf(value) \
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: sizeof(value) == sizeof(double) ? __signbit(value) \
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: __signbitl(value))
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/* returns non-zero if 'value' is not Inf or NaN */
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# define isfinite(value) \
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(sizeof(value) == sizeof(float) ? __finitef(value) \
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: sizeof(value) == sizeof(double) ? __finite(value) \
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: __finitel(value))
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/* returns non-zero if 'value' is neither zero, sub-normal, Inf, nor NaN */
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# define isnormal(value) \
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(fpclassify(value) == FP_NORMAL)
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/* returns non-zero if 'value' is NaN */
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# define isnan(value) \
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(sizeof(value) == sizeof(float) ? __isnanf(value) \
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: sizeof(value) == sizeof(double) ? __isnan(value) \
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: __isnanl(value))
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/* returns non-zero if 'value is Inf */
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# define isinf(value) \
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(sizeof(value) == sizeof(float) ? __isinff(value) \
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: sizeof(value) == sizeof(double) ? __isinf(value) \
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: __isinfl(value))
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#endif
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#if __GNUC__ >= 4
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#define isgreater(x, y) __builtin_isgreater((x), (y))
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#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
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#define isless(x, y) __builtin_isless((x), (y))
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#define islessequal(x, y) __builtin_islessequal((x), (y))
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#define islessgreater(x, y) __builtin_islessgreater((x), (y))
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#define isunordered(x, y) __builtin_isunordered((x), (y))
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#else
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/* these are only for GCC2, and require GNUC statement expressions */
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#define _wrap_expr_typeof(x, y, body) ({ \
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__typeof(x) X = (x); \
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__typeof(y) Y = (y); \
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body;})
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#define isgreater(x, y) \
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_wrap_expr_typeof(x, y, !isnan(X) && !isnan(Y) && X > Y)
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#define isgreaterequal(x, y) \
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_wrap_expr_typeof(x, y, !isnan(X) && !isnan(Y) && X >= Y)
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#define isless(x, y) \
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_wrap_expr_typeof(x, y, !isnan(X) && !isnan(Y) && X < Y)
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#define islessequal(x, y) \
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_wrap_expr_typeof(x, y, !isnan(X) && !isnan(Y) && X <= Y)
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#define islessgreater(x, y) \
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_wrap_expr_typeof(x, y, X < Y || Y < X)
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#define isunordered(x, y) \
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_wrap_expr_typeof(x, y, isnan(X) || isnan(Y))
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#endif
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#ifdef __cplusplus
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}
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#endif
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#endif /* _MATH_H_ */
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