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/* $NetBSD: math.h,v 1.63 2013/09/16 15:54:42 martin Exp $ */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* @(#)fdlibm.h 5.1 93/09/24
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*/
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#ifndef _MATH_H_
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#define _MATH_H_
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#include <sys/cdefs.h> |
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#include <sys/featuretest.h> |
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union __float_u {
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unsigned char __dummy[sizeof(float)]; |
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float __val;
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}; |
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union __double_u {
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unsigned char __dummy[sizeof(double)]; |
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double __val;
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}; |
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union __long_double_u {
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unsigned char __dummy[sizeof(long double)]; |
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long double __val; |
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}; |
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#include <machine/math.h> /* may use __float_u, __double_u, |
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or __long_double_u */
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#include <limits.h> /* for INT_{MIN,MAX} */ |
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#if ((_POSIX_C_SOURCE - 0) >= 200809L || defined(_NETBSD_SOURCE)) |
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# if defined(__FLT_EVAL_METHOD__) && (__FLT_EVAL_METHOD__ - 0) == 0 |
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typedef double double_t; |
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typedef float float_t; |
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# elif (__FLT_EVAL_METHOD__ - 0) == 1 |
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typedef double double_t; |
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typedef double float_t; |
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# elif (__FLT_EVAL_METHOD__ - 0) == 2 |
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typedef long double double_t; |
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typedef long double float_t; |
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# endif
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#endif
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#ifdef __HAVE_LONG_DOUBLE
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#define __fpmacro_unary_floating(__name, __arg0) \
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/* LINTED */ \
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((sizeof (__arg0) == sizeof (float)) \ |
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? __ ## __name ## f (__arg0) \ |
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: (sizeof (__arg0) == sizeof (double)) \ |
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? __ ## __name ## d (__arg0) \ |
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: __ ## __name ## l (__arg0)) |
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#else
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#define __fpmacro_unary_floating(__name, __arg0) \
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/* LINTED */ \
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((sizeof (__arg0) == sizeof (float)) \ |
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? __ ## __name ## f (__arg0) \ |
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: __ ## __name ## d (__arg0)) |
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#endif /* __HAVE_LONG_DOUBLE */ |
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/*
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* ANSI/POSIX
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*/
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/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
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#if __GNUC_PREREQ__(3, 3) |
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#define HUGE_VAL __builtin_huge_val()
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#else
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extern const union __double_u __infinity; |
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#define HUGE_VAL __infinity.__val
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#endif
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/*
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* ISO C99
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*/
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#if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
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!defined(_XOPEN_SOURCE) || \ |
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((__STDC_VERSION__ - 0) >= 199901L) || \ |
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((_POSIX_C_SOURCE - 0) >= 200112L) || \ |
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((_XOPEN_SOURCE - 0) >= 600) || \ |
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defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) |
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/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
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#if __GNUC_PREREQ__(3, 3) |
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#define HUGE_VALF __builtin_huge_valf()
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#define HUGE_VALL __builtin_huge_vall()
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#else
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extern const union __float_u __infinityf; |
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#define HUGE_VALF __infinityf.__val
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extern const union __long_double_u __infinityl; |
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#define HUGE_VALL __infinityl.__val
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#endif
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/* 7.12#4 INFINITY */
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#if defined(__INFINITY)
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#define INFINITY __INFINITY /* float constant which overflows */ |
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#elif __GNUC_PREREQ__(3, 3) |
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#define INFINITY __builtin_inff()
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#else
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#define INFINITY HUGE_VALF /* positive infinity */ |
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#endif /* __INFINITY */ |
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/* 7.12#5 NAN: a quiet NaN, if supported */
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#ifdef __HAVE_NANF
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#if __GNUC_PREREQ__(3,3) |
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#define NAN __builtin_nanf("") |
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#else
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extern const union __float_u __nanf; |
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#define NAN __nanf.__val
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#endif
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#endif /* __HAVE_NANF */ |
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/* 7.12#6 number classification macros */
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#define FP_INFINITE 0x00 |
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#define FP_NAN 0x01 |
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#define FP_NORMAL 0x02 |
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#define FP_SUBNORMAL 0x03 |
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#define FP_ZERO 0x04 |
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/* NetBSD extensions */
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#define _FP_LOMD 0x80 /* range for machine-specific classes */ |
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#define _FP_HIMD 0xff |
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#define FP_ILOGB0 INT_MIN
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#define FP_ILOGBNAN INT_MAX
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#endif /* !_ANSI_SOURCE && ... */ |
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/*
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* XOPEN/SVID
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*/
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#if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
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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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#define MAXFLOAT ((float)3.40282346638528860e+38) |
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extern int signgam; |
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#endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ |
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#if defined(_NETBSD_SOURCE)
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enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; |
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#define _LIB_VERSION_TYPE enum fdversion |
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#define _LIB_VERSION _fdlib_version
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/* if global variable _LIB_VERSION is not desirable, one may
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* change the following to be a constant by:
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* #define _LIB_VERSION_TYPE const enum version
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* In that case, after one initializes the value _LIB_VERSION (see
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* s_lib_version.c) during compile time, it cannot be modified
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* in the middle of a program
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*/
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extern _LIB_VERSION_TYPE _LIB_VERSION;
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#define _IEEE_ fdlibm_ieee
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#define _SVID_ fdlibm_svid
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#define _XOPEN_ fdlibm_xopen
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#define _POSIX_ fdlibm_posix
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#ifndef __cplusplus
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struct exception {
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int type;
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const 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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#endif
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#define HUGE MAXFLOAT
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/*
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* set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
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* (one may replace the following line by "#include <values.h>")
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*/
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#define X_TLOSS 1.41484755040568800000e+16 |
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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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#endif /* _NETBSD_SOURCE */ |
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__BEGIN_DECLS |
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/*
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* ANSI/POSIX
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*/
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double acos(double); |
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double asin(double); |
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double atan(double); |
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double atan2(double, double); |
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double cos(double); |
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double sin(double); |
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double tan(double); |
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double cosh(double); |
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double sinh(double); |
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double tanh(double); |
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double exp(double); |
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double exp2(double); |
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double frexp(double, int *); |
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double ldexp(double, int); |
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double log(double); |
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double log2(double); |
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double log10(double); |
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double modf(double, double *); |
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double pow(double, double); |
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double sqrt(double); |
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double ceil(double); |
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double fabs(double); |
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double floor(double); |
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double fmod(double, double); |
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#if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
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double erf(double); |
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double erfc(double); |
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double gamma(double); |
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double hypot(double, double); |
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int finite(double); |
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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 lgamma(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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#if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) |
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double acosh(double); |
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double asinh(double); |
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double atanh(double); |
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double cbrt(double); |
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double expm1(double); |
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int ilogb(double); |
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double log1p(double); |
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double logb(double); |
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double nextafter(double, double); |
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double remainder(double, double); |
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double rint(double); |
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double scalb(double, double); |
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#endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ |
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#endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ |
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/*
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* ISO C99
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*/
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#if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
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!defined(_XOPEN_SOURCE) || \ |
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((__STDC_VERSION__ - 0) >= 199901L) || \ |
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((_POSIX_C_SOURCE - 0) >= 200112L) || \ |
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((_XOPEN_SOURCE - 0) >= 600) || \ |
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defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) |
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/* 7.12.3.1 int fpclassify(real-floating x) */
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#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
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/* 7.12.3.2 int isfinite(real-floating x) */
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#define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
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/* 7.12.3.5 int isnormal(real-floating x) */
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#define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
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/* 7.12.3.6 int signbit(real-floating x) */
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#define signbit(__x) __fpmacro_unary_floating(signbit, __x)
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/* 7.12.4 trigonometric */
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float acosf(float); |
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float asinf(float); |
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float atanf(float); |
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float atan2f(float, float); |
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float cosf(float); |
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float sinf(float); |
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float tanf(float); |
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long double acosl(long double); |
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long double asinl(long double); |
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long double atanl(long double); |
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long double atan2l(long double, long double); |
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long double cosl(long double); |
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long double sinl(long double); |
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long double tanl(long double); |
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/* 7.12.5 hyperbolic */
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float acoshf(float); |
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float asinhf(float); |
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float atanhf(float); |
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float coshf(float); |
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float sinhf(float); |
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float tanhf(float); |
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long double acoshl(long double); |
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long double asinhl(long double); |
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long double atanhl(long double); |
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long double coshl(long double); |
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long double sinhl(long double); |
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long double tanhl(long double); |
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/* 7.12.6 exp / log */
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float expf(float); |
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float exp2f(float); |
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float expm1f(float); |
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float frexpf(float, int *); |
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int ilogbf(float); |
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float ldexpf(float, int); |
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float logf(float); |
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float log2f(float); |
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float log10f(float); |
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float log1pf(float); |
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float logbf(float); |
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float modff(float, float *); |
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float scalbnf(float, int); |
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float scalblnf(float, long); |
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long double expl(long double); |
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long double exp2l(long double); |
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long double expm1l(long double); |
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long double frexpl(long double, int *); |
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int ilogbl(long double); |
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long double ldexpl(long double, int); |
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long double logl(long double); |
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long double log2l(long double); |
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long double log10l(long double); |
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long double log1pl(long double); |
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long double logbl(long double); |
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long double modfl(long double, long double *); |
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long double scalbnl(long double, int); |
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long double scalblnl(long double, long); |
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/* 7.12.7 power / absolute */
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float cbrtf(float); |
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float fabsf(float); |
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float hypotf(float, float); |
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float powf(float, float); |
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float sqrtf(float); |
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long double cbrtl(long double); |
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long double fabsl(long double); |
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long double hypotl(long double, long double); |
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long double powl(long double, long double); |
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long double sqrtl(long double); |
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/* 7.12.8 error / gamma */
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double tgamma(double); |
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float erff(float); |
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float erfcf(float); |
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float lgammaf(float); |
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float tgammaf(float); |
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long double erfl(long double); |
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long double erfcl(long double); |
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long double lgammal(long double); |
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long double tgammal(long double); |
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/* 7.12.9 nearest integer */
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/* LONGLONG */
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long long int llrint(double); |
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long int lround(double); |
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/* LONGLONG */
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long long int llround(double); |
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long int lrint(double); |
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double round(double); |
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double trunc(double); |
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float ceilf(float); |
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float floorf(float); |
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/* LONGLONG */
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long long int llrintf(float); |
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long int lroundf(float); |
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/* LONGLONG */
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long long int llroundf(float); |
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long int lrintf(float); |
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float rintf(float); |
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float roundf(float); |
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float truncf(float); |
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long double ceill(long double); |
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long double floorl(long double); |
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/* LONGLONG */
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long long int llrintl(long double); |
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long int lroundl(long double); |
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/* LONGLONG */
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long long int llroundl(long double); |
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long int lrintl(long double); |
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long double rintl(long double); |
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long double roundl(long double); |
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long double truncl(long double); |
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/* 7.12.10 remainder */
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float fmodf(float, float); |
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float remainderf(float, float); |
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long double fmodl(long double, long double); |
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long double remainderl(long double, long double); |
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/* 7.12.10.3 The remquo functions */
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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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/* 7.12.11 manipulation */
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double nan(const char *); |
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double nearbyint(double); |
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double nexttoward(double, long double); |
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float copysignf(float, float); |
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float nanf(const char *); |
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float nearbyintf(float); |
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float nextafterf(float, float); |
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float nexttowardf(float, long double); |
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long double copysignl(long double, long double); |
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long double nanl(const char *); |
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long double nearbyintl(long double); |
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long double nextafterl(long double, long double); |
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long double nexttowardl(long double, long double); |
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/* 7.12.14 comparison */
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#define isunordered(x, y) (isnan(x) || isnan(y))
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#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
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#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
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#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
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#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
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#define islessgreater(x, y) (!isunordered((x), (y)) && \
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((x) > (y) || (y) > (x))) |
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double fdim(double, double); |
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double fma(double, double, double); |
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double fmax(double, double); |
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double fmin(double, double); |
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float fdimf(float, float); |
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float fmaf(float, float, float); |
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float fmaxf(float, float); |
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float fminf(float, float); |
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long double fdiml(long double, long double); |
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long double fmal(long double, long double, long double); |
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long double fmaxl(long double, long double); |
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long double fminl(long double, long double); |
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#endif /* !_ANSI_SOURCE && ... */ |
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#if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \
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!defined(_XOPEN_SOURCE) || \ |
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((__STDC_VERSION__ - 0) >= 199901L) || \ |
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((_POSIX_C_SOURCE - 0) >= 200112L) || \ |
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defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) |
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/* 7.12.3.3 int isinf(real-floating x) */
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#if defined(__isinf) || defined(__HAVE_INLINE___ISINF)
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#define isinf(__x) __isinf(__x)
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#else
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#define isinf(__x) __fpmacro_unary_floating(isinf, __x)
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#endif
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/* 7.12.3.4 int isnan(real-floating x) */
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#if defined(__isnan) || defined(__HAVE_INLINE___ISNAN)
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#define isnan(__x) __isnan(__x)
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#else
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#define isnan(__x) __fpmacro_unary_floating(isnan, __x)
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#endif
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#endif /* !_ANSI_SOURCE && ... */ |
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#if defined(_NETBSD_SOURCE)
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#ifndef __cplusplus
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int matherr(struct exception *); |
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#endif
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/*
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* IEEE Test Vector
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*/
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double significand(double); |
498 |
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/*
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* Functions callable from C, intended to support IEEE arithmetic.
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*/
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double copysign(double, double); |
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double scalbn(double, int); |
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double scalbln(double, long); |
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/*
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* BSD math library entry points
|
508 |
*/
|
509 |
double drem(double, double); |
510 |
|
511 |
#endif /* _NETBSD_SOURCE */ |
512 |
|
513 |
#if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
|
514 |
/*
|
515 |
* Reentrant version of gamma & lgamma; passes signgam back by reference
|
516 |
* as the second argument; user must allocate space for signgam.
|
517 |
*/
|
518 |
double gamma_r(double, int *); |
519 |
double lgamma_r(double, int *); |
520 |
#endif /* _NETBSD_SOURCE || _REENTRANT */ |
521 |
|
522 |
|
523 |
#if defined(_NETBSD_SOURCE)
|
524 |
|
525 |
/* float versions of ANSI/POSIX functions */
|
526 |
|
527 |
float gammaf(float); |
528 |
int isinff(float); |
529 |
int isnanf(float); |
530 |
int finitef(float); |
531 |
float j0f(float); |
532 |
float j1f(float); |
533 |
float jnf(int, float); |
534 |
float y0f(float); |
535 |
float y1f(float); |
536 |
float ynf(int, float); |
537 |
|
538 |
float scalbf(float, float); |
539 |
|
540 |
/*
|
541 |
* float version of IEEE Test Vector
|
542 |
*/
|
543 |
float significandf(float); |
544 |
|
545 |
/*
|
546 |
* float versions of BSD math library entry points
|
547 |
*/
|
548 |
float dremf(float, float); |
549 |
#endif /* _NETBSD_SOURCE */ |
550 |
|
551 |
#if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
|
552 |
/*
|
553 |
* Float versions of reentrant version of gamma & lgamma; passes
|
554 |
* signgam back by reference as the second argument; user must
|
555 |
* allocate space for signgam.
|
556 |
*/
|
557 |
float gammaf_r(float, int *); |
558 |
float lgammaf_r(float, int *); |
559 |
#endif /* !... || _REENTRANT */ |
560 |
|
561 |
/*
|
562 |
* Library implementation
|
563 |
*/
|
564 |
int __fpclassifyf(float); |
565 |
int __fpclassifyd(double); |
566 |
int __isfinitef(float); |
567 |
int __isfinited(double); |
568 |
int __isinff(float); |
569 |
int __isinfd(double); |
570 |
int __isnanf(float); |
571 |
int __isnand(double); |
572 |
int __signbitf(float); |
573 |
int __signbitd(double); |
574 |
|
575 |
#ifdef __HAVE_LONG_DOUBLE
|
576 |
int __fpclassifyl(long double); |
577 |
int __isfinitel(long double); |
578 |
int __isinfl(long double); |
579 |
int __isnanl(long double); |
580 |
int __signbitl(long double); |
581 |
#endif
|
582 |
|
583 |
__END_DECLS |
584 |
|
585 |
#endif /* _MATH_H_ */ |