| 1 | /*
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| 2 | * ====================================================
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| 3 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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| 4 | *
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| 5 | * Developed at SunPro, a Sun Microsystems, Inc. business.
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| 6 | * Permission to use, copy, modify, and distribute this
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| 7 | * software is freely granted, provided that this notice
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| 8 | * is preserved.
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| 9 | * ====================================================
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| 10 | */
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| 11 |
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| 12 | /*
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| 13 | * from: @(#)fdlibm.h 5.1 93/09/24
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| 14 | * $FreeBSD: src/lib/msun/src/math.h,v 1.61 2005/04/16 21:12:47 das Exp $
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| 15 | */
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| 16 |
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| 17 | #ifndef _MATH_H_
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| 18 | #define _MATH_H_
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| 19 |
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| 20 | #include <sys/cdefs.h>
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| 21 | #include <sys/_types.h>
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| 22 | #include <machine/_limits.h>
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| 23 |
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| 24 | /*
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| 25 | * ANSI/POSIX
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| 26 | */
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| 27 | extern const union __infinity_un {
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| 28 | unsigned char __uc[8];
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| 29 | double __ud;
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| 30 | } __infinity;
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| 31 |
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| 32 | extern const union __nan_un {
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| 33 | unsigned char __uc[sizeof(float)];
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| 34 | float __uf;
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| 35 | } __nan;
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| 36 |
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| 37 | #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
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| 38 | #define __MATH_BUILTIN_CONSTANTS
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| 39 | #endif
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| 40 |
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| 41 | #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
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| 42 | #define __MATH_BUILTIN_RELOPS
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| 43 | #endif
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| 44 |
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| 45 | #ifdef __MATH_BUILTIN_CONSTANTS
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| 46 | #define HUGE_VAL __builtin_huge_val()
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| 47 | #else
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| 48 | #define HUGE_VAL (__infinity.__ud)
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| 49 | #endif
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| 50 |
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| 51 | #if __ISO_C_VISIBLE >= 1999
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| 52 | #define FP_ILOGB0 (-__INT_MAX)
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| 53 | #define FP_ILOGBNAN __INT_MAX
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| 54 |
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| 55 | #ifdef __MATH_BUILTIN_CONSTANTS
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| 56 | #define HUGE_VALF __builtin_huge_valf()
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| 57 | #define HUGE_VALL __builtin_huge_vall()
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| 58 | #define INFINITY __builtin_inf()
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| 59 | #define NAN __builtin_nan("")
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| 60 | #else
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| 61 | #define HUGE_VALF (float)HUGE_VAL
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| 62 | #define HUGE_VALL (long double)HUGE_VAL
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| 63 | #define INFINITY HUGE_VALF
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| 64 | #define NAN (__nan.__uf)
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| 65 | #endif /* __MATH_BUILTIN_CONSTANTS */
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| 66 |
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| 67 | #define MATH_ERRNO 1
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| 68 | #define MATH_ERREXCEPT 2
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| 69 | #define math_errhandling MATH_ERREXCEPT
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| 70 |
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| 71 | /* XXX We need a <machine/math.h>. */
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| 72 | #if defined(__ia64__) || defined(__sparc64__)
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| 73 | #define FP_FAST_FMA
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| 74 | #endif
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| 75 | #ifdef __ia64__
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| 76 | #define FP_FAST_FMAL
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| 77 | #endif
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| 78 | #define FP_FAST_FMAF
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| 79 |
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| 80 | /* Symbolic constants to classify floating point numbers. */
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| 81 | #define FP_INFINITE 0x01
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| 82 | #define FP_NAN 0x02
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| 83 | #define FP_NORMAL 0x04
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| 84 | #define FP_SUBNORMAL 0x08
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| 85 | #define FP_ZERO 0x10
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| 86 | #define fpclassify(x) \
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| 87 | ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
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| 88 | : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
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| 89 | : __fpclassifyl(x))
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| 90 |
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| 91 | #define isfinite(x) \
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| 92 | ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \
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| 93 | : (sizeof (x) == sizeof (double)) ? __isfinite(x) \
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| 94 | : __isfinitel(x))
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| 95 | #define isinf(x) \
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| 96 | ((sizeof (x) == sizeof (float)) ? __isinff(x) \
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| 97 | : (sizeof (x) == sizeof (double)) ? isinf(x) \
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| 98 | : __isinfl(x))
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| 99 | #define isnan(x) \
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| 100 | ((sizeof (x) == sizeof (float)) ? isnanf(x) \
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| 101 | : (sizeof (x) == sizeof (double)) ? isnan(x) \
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| 102 | : __isnanl(x))
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| 103 | #define isnormal(x) \
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| 104 | ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \
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| 105 | : (sizeof (x) == sizeof (double)) ? __isnormal(x) \
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| 106 | : __isnormall(x))
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| 107 |
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| 108 | #ifdef __MATH_BUILTIN_RELOPS
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| 109 | #define isgreater(x, y) __builtin_isgreater((x), (y))
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| 110 | #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
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| 111 | #define isless(x, y) __builtin_isless((x), (y))
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| 112 | #define islessequal(x, y) __builtin_islessequal((x), (y))
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| 113 | #define islessgreater(x, y) __builtin_islessgreater((x), (y))
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| 114 | #define isunordered(x, y) __builtin_isunordered((x), (y))
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| 115 | #else
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| 116 | #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
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| 117 | #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
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| 118 | #define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
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| 119 | #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
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| 120 | #define islessgreater(x, y) (!isunordered((x), (y)) && \
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| 121 | ((x) > (y) || (y) > (x)))
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| 122 | #define isunordered(x, y) (isnan(x) || isnan(y))
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| 123 | #endif /* __MATH_BUILTIN_RELOPS */
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| 124 |
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| 125 | #define signbit(x) \
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| 126 | ((sizeof (x) == sizeof (float)) ? __signbitf(x) \
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| 127 | : (sizeof (x) == sizeof (double)) ? __signbit(x) \
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| 128 | : __signbitl(x))
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| 129 |
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| 130 | typedef __double_t double_t;
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| 131 | typedef __float_t float_t;
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| 132 | #endif /* __ISO_C_VISIBLE >= 1999 */
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| 133 |
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| 134 | /*
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| 135 | * XOPEN/SVID
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| 136 | */
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| 137 | #if __BSD_VISIBLE || __XSI_VISIBLE
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| 138 | #define M_E 2.7182818284590452354 /* e */
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| 139 | #define M_LOG2E 1.4426950408889634074 /* log 2e */
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| 140 | #define M_LOG10E 0.43429448190325182765 /* log 10e */
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| 141 | #define M_LN2 0.69314718055994530942 /* log e2 */
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| 142 | #define M_LN10 2.30258509299404568402 /* log e10 */
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| 143 | #define M_PI 3.14159265358979323846 /* pi */
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| 144 | #define M_PI_2 1.57079632679489661923 /* pi/2 */
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| 145 | #define M_PI_4 0.78539816339744830962 /* pi/4 */
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| 146 | #define M_1_PI 0.31830988618379067154 /* 1/pi */
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| 147 | #define M_2_PI 0.63661977236758134308 /* 2/pi */
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| 148 | #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
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| 149 | #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
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| 150 | #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
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| 151 |
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| 152 | #define MAXFLOAT ((float)3.40282346638528860e+38)
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| 153 | extern int signgam;
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| 154 | #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
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| 155 |
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| 156 | #if __BSD_VISIBLE
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| 157 | #if 0
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| 158 | /* Old value from 4.4BSD-Lite math.h; this is probably better. */
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| 159 | #define HUGE HUGE_VAL
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| 160 | #else
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| 161 | #define HUGE MAXFLOAT
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| 162 | #endif
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| 163 | #endif /* __BSD_VISIBLE */
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| 164 |
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| 165 | /*
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| 166 | * Most of these functions depend on the rounding mode and have the side
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| 167 | * effect of raising floating-point exceptions, so they are not declared
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| 168 | * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
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| 169 | */
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| 170 | __BEGIN_DECLS
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| 171 | /*
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| 172 | * ANSI/POSIX
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| 173 | */
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| 174 | int __fpclassifyd(double) __pure2;
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| 175 | int __fpclassifyf(float) __pure2;
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| 176 | int __fpclassifyl(long double) __pure2;
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| 177 | int __isfinitef(float) __pure2;
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| 178 | int __isfinite(double) __pure2;
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| 179 | int __isfinitel(long double) __pure2;
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| 180 | int __isinff(float) __pure2;
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| 181 | int __isinfl(long double) __pure2;
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| 182 | int __isnanl(long double) __pure2;
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| 183 | int __isnormalf(float) __pure2;
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| 184 | int __isnormal(double) __pure2;
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| 185 | int __isnormall(long double) __pure2;
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| 186 | int __signbit(double) __pure2;
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| 187 | int __signbitf(float) __pure2;
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| 188 | int __signbitl(long double) __pure2;
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| 189 |
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| 190 | double acos(double);
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| 191 | double asin(double);
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| 192 | double atan(double);
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| 193 | double atan2(double, double);
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| 194 | double cos(double);
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| 195 | double sin(double);
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| 196 | double tan(double);
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| 197 |
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| 198 | double cosh(double);
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| 199 | double sinh(double);
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| 200 | double tanh(double);
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| 201 |
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| 202 | double exp(double);
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| 203 | double frexp(double, int *); /* fundamentally !__pure2 */
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| 204 | double ldexp(double, int);
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| 205 | double log(double);
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| 206 | double log10(double);
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| 207 | double modf(double, double *); /* fundamentally !__pure2 */
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| 208 |
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| 209 | double pow(double, double);
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| 210 | double sqrt(double);
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| 211 |
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| 212 | double ceil(double);
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| 213 | double fabs(double) __pure2;
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| 214 | double floor(double);
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| 215 | double fmod(double, double);
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| 216 |
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| 217 | /*
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| 218 | * These functions are not in C90.
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| 219 | */
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| 220 | #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
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| 221 | double acosh(double);
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| 222 | double asinh(double);
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| 223 | double atanh(double);
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| 224 | double cbrt(double);
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| 225 | double erf(double);
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| 226 | double erfc(double);
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| 227 | double exp2(double);
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| 228 | double expm1(double);
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| 229 | double fma(double, double, double);
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| 230 | double hypot(double, double);
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| 231 | int ilogb(double) __pure2;
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| 232 | int (isinf)(double) __pure2;
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| 233 | int (isnan)(double) __pure2;
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| 234 | double lgamma(double);
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| 235 | long long llrint(double);
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| 236 | long long llround(double);
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| 237 | double log1p(double);
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| 238 | double logb(double);
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| 239 | long lrint(double);
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| 240 | long lround(double);
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| 241 | double nextafter(double, double);
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| 242 | double remainder(double, double);
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| 243 | double remquo(double, double, int *);
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| 244 | double rint(double);
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| 245 | #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
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| 246 |
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| 247 | #if __BSD_VISIBLE || __XSI_VISIBLE
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| 248 | double j0(double);
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| 249 | double j1(double);
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| 250 | double jn(int, double);
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| 251 | double scalb(double, double);
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| 252 | double y0(double);
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| 253 | double y1(double);
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| 254 | double yn(int, double);
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| 255 |
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| 256 | #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
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| 257 | double gamma(double);
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| 258 | #endif
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| 259 | #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
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| 260 |
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| 261 | #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
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| 262 | double copysign(double, double) __pure2;
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| 263 | double fdim(double, double);
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| 264 | double fmax(double, double) __pure2;
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| 265 | double fmin(double, double) __pure2;
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| 266 | double nearbyint(double);
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| 267 | double round(double);
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| 268 | double scalbln(double, long);
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| 269 | double scalbn(double, int);
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| 270 | double tgamma(double);
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| 271 | double trunc(double);
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| 272 | #endif
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| 273 |
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| 274 | /*
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| 275 | * BSD math library entry points
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| 276 | */
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| 277 | #if __BSD_VISIBLE
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| 278 | double drem(double, double);
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| 279 | int finite(double) __pure2;
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| 280 | int isnanf(float) __pure2;
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| 281 |
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| 282 | /*
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| 283 | * Reentrant version of gamma & lgamma; passes signgam back by reference
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| 284 | * as the second argument; user must allocate space for signgam.
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| 285 | */
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| 286 | double gamma_r(double, int *);
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| 287 | double lgamma_r(double, int *);
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| 288 |
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| 289 | /*
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| 290 | * IEEE Test Vector
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| 291 | */
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| 292 | double significand(double);
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| 293 | #endif /* __BSD_VISIBLE */
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| 294 |
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| 295 | /* float versions of ANSI/POSIX functions */
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| 296 | #if __ISO_C_VISIBLE >= 1999
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| 297 | float acosf(float);
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| 298 | float asinf(float);
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| 299 | float atanf(float);
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| 300 | float atan2f(float, float);
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| 301 | float cosf(float);
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| 302 | float sinf(float);
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| 303 | float tanf(float);
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| 304 |
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| 305 | float coshf(float);
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| 306 | float sinhf(float);
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| 307 | float tanhf(float);
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| 308 |
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| 309 | float exp2f(float);
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| 310 | float expf(float);
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| 311 | float expm1f(float);
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| 312 | float frexpf(float, int *); /* fundamentally !__pure2 */
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| 313 | int ilogbf(float) __pure2;
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| 314 | float ldexpf(float, int);
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| 315 | float log10f(float);
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| 316 | float log1pf(float);
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| 317 | float logf(float);
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| 318 | float modff(float, float *); /* fundamentally !__pure2 */
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| 319 |
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| 320 | float powf(float, float);
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| 321 | float sqrtf(float);
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| 322 |
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| 323 | float ceilf(float);
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| 324 | float fabsf(float) __pure2;
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| 325 | float floorf(float);
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| 326 | float fmodf(float, float);
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| 327 | float roundf(float);
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| 328 |
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| 329 | float erff(float);
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| 330 | float erfcf(float);
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| 331 | float hypotf(float, float);
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| 332 | float lgammaf(float);
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| 333 |
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| 334 | float acoshf(float);
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| 335 | float asinhf(float);
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| 336 | float atanhf(float);
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| 337 | float cbrtf(float);
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| 338 | float logbf(float);
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| 339 | float copysignf(float, float) __pure2;
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| 340 | long long llrintf(float);
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| 341 | long long llroundf(float);
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| 342 | long lrintf(float);
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| 343 | long lroundf(float);
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| 344 | float nearbyintf(float);
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| 345 | float nextafterf(float, float);
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| 346 | float remainderf(float, float);
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| 347 | float remquof(float, float, int *);
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| 348 | float rintf(float);
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| 349 | float scalblnf(float, long);
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| 350 | float scalbnf(float, int);
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| 351 | float truncf(float);
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| 352 |
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| 353 | float fdimf(float, float);
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| 354 | float fmaf(float, float, float);
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| 355 | float fmaxf(float, float) __pure2;
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| 356 | float fminf(float, float) __pure2;
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| 357 | #endif
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| 358 |
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| 359 | /*
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| 360 | * float versions of BSD math library entry points
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| 361 | */
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| 362 | #if __BSD_VISIBLE
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| 363 | float dremf(float, float);
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| 364 | int finitef(float) __pure2;
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| 365 | float gammaf(float);
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| 366 | float j0f(float);
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| 367 | float j1f(float);
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| 368 | float jnf(int, float);
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| 369 | float scalbf(float, float);
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| 370 | float y0f(float);
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| 371 | float y1f(float);
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| 372 | float ynf(int, float);
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| 373 |
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| 374 | /*
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| 375 | * Float versions of reentrant version of gamma & lgamma; passes
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| 376 | * signgam back by reference as the second argument; user must
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| 377 | * allocate space for signgam.
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| 378 | */
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| 379 | float gammaf_r(float, int *);
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| 380 | float lgammaf_r(float, int *);
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| 381 |
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| 382 | /*
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| 383 | * float version of IEEE Test Vector
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| 384 | */
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| 385 | float significandf(float);
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| 386 | #endif /* __BSD_VISIBLE */
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| 387 |
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| 388 | /*
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| 389 | * long double versions of ISO/POSIX math functions
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| 390 | */
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| 391 | #if __ISO_C_VISIBLE >= 1999
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| 392 | #if 0
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| 393 | long double acoshl(long double);
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| 394 | long double acosl(long double);
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| 395 | long double asinhl(long double);
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|---|
| 396 | long double asinl(long double);
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|---|
| 397 | long double atan2l(long double, long double);
|
|---|
| 398 | long double atanhl(long double);
|
|---|
| 399 | long double atanl(long double);
|
|---|
| 400 | long double cbrtl(long double);
|
|---|
| 401 | #endif
|
|---|
| 402 | long double ceill(long double);
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|---|
| 403 | long double copysignl(long double, long double) __pure2;
|
|---|
| 404 | #if 0
|
|---|
| 405 | long double coshl(long double);
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|---|
| 406 | long double cosl(long double);
|
|---|
| 407 | long double erfcl(long double);
|
|---|
| 408 | long double erfl(long double);
|
|---|
| 409 | long double exp2l(long double);
|
|---|
| 410 | long double expl(long double);
|
|---|
| 411 | long double expm1l(long double);
|
|---|
| 412 | #endif
|
|---|
| 413 | long double fabsl(long double) __pure2;
|
|---|
| 414 | long double fdiml(long double, long double);
|
|---|
| 415 | long double floorl(long double);
|
|---|
| 416 | long double fmal(long double, long double, long double);
|
|---|
| 417 | long double fmaxl(long double, long double) __pure2;
|
|---|
| 418 | long double fminl(long double, long double) __pure2;
|
|---|
| 419 | #if 0
|
|---|
| 420 | long double fmodl(long double, long double);
|
|---|
| 421 | #endif
|
|---|
| 422 | long double frexpl(long double value, int *); /* fundamentally !__pure2 */
|
|---|
| 423 | #if 0
|
|---|
| 424 | long double hypotl(long double, long double);
|
|---|
| 425 | #endif
|
|---|
| 426 | int ilogbl(long double) __pure2;
|
|---|
| 427 | long double ldexpl(long double, int);
|
|---|
| 428 | #if 0
|
|---|
| 429 | long double lgammal(long double);
|
|---|
| 430 | long long llrintl(long double);
|
|---|
| 431 | #endif
|
|---|
| 432 | long long llroundl(long double);
|
|---|
| 433 | #if 0
|
|---|
| 434 | long double log10l(long double);
|
|---|
| 435 | long double log1pl(long double);
|
|---|
| 436 | long double log2l(long double);
|
|---|
| 437 | long double logbl(long double);
|
|---|
| 438 | long double logl(long double);
|
|---|
| 439 | long lrintl(long double);
|
|---|
| 440 | #endif
|
|---|
| 441 | long lroundl(long double);
|
|---|
| 442 | #if 0
|
|---|
| 443 | long double modfl(long double, long double *); /* fundamentally !__pure2 */
|
|---|
| 444 | long double nanl(const char *) __pure2;
|
|---|
| 445 | long double nearbyintl(long double);
|
|---|
| 446 | #endif
|
|---|
| 447 | long double nextafterl(long double, long double);
|
|---|
| 448 | double nexttoward(double, long double);
|
|---|
| 449 | float nexttowardf(float, long double);
|
|---|
| 450 | long double nexttowardl(long double, long double);
|
|---|
| 451 | #if 0
|
|---|
| 452 | long double powl(long double, long double);
|
|---|
| 453 | long double remainderl(long double, long double);
|
|---|
| 454 | long double remquol(long double, long double, int *);
|
|---|
| 455 | long double rintl(long double);
|
|---|
| 456 | #endif
|
|---|
| 457 | long double roundl(long double);
|
|---|
| 458 | long double scalblnl(long double, long);
|
|---|
| 459 | long double scalbnl(long double, int);
|
|---|
| 460 | #if 0
|
|---|
| 461 | long double sinhl(long double);
|
|---|
| 462 | long double sinl(long double);
|
|---|
| 463 | long double sqrtl(long double);
|
|---|
| 464 | long double tanhl(long double);
|
|---|
| 465 | long double tanl(long double);
|
|---|
| 466 | long double tgammal(long double);
|
|---|
| 467 | #endif
|
|---|
| 468 | long double truncl(long double);
|
|---|
| 469 |
|
|---|
| 470 | #endif /* __ISO_C_VISIBLE >= 1999 */
|
|---|
| 471 | __END_DECLS
|
|---|
| 472 |
|
|---|
| 473 | #endif /* !_MATH_H_ */
|
|---|
