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 | /** @file
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18 | * FreeBSD HEAD 2005-06-xx
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19 | */
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20 |
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21 | #ifndef _MATH_H_
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22 | #define _MATH_H_
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23 |
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24 | #include <sys/cdefs.h>
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25 | #include <sys/_types.h>
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26 | #include <machine/_limits.h>
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27 |
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28 | /*
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29 | * ANSI/POSIX
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30 | */
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31 | extern const union __infinity_un {
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32 | unsigned char __uc[8];
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33 | double __ud;
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34 | } __infinity;
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35 |
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36 | extern const union __nan_un {
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37 | unsigned char __uc[sizeof(float)];
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38 | float __uf;
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39 | } __nan;
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40 |
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41 | #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
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42 | #define __MATH_BUILTIN_CONSTANTS
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43 | #endif
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44 |
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45 | #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
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46 | #define __MATH_BUILTIN_RELOPS
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47 | #endif
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48 |
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49 | #ifdef __MATH_BUILTIN_CONSTANTS
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50 | #define HUGE_VAL __builtin_huge_val()
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51 | #else
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52 | #define HUGE_VAL (__infinity.__ud)
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53 | #endif
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54 |
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55 | #if __ISO_C_VISIBLE >= 1999
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56 | #define FP_ILOGB0 (-__INT_MAX)
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57 | #define FP_ILOGBNAN __INT_MAX
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58 |
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59 | #ifdef __MATH_BUILTIN_CONSTANTS
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60 | #define HUGE_VALF __builtin_huge_valf()
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61 | #define HUGE_VALL __builtin_huge_vall()
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62 | #define INFINITY __builtin_inf()
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63 | #define NAN __builtin_nan("")
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64 | #else
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65 | #define HUGE_VALF (float)HUGE_VAL
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66 | #define HUGE_VALL (long double)HUGE_VAL
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67 | #define INFINITY HUGE_VALF
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68 | #define NAN (__nan.__uf)
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69 | #endif /* __MATH_BUILTIN_CONSTANTS */
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70 |
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71 | #define MATH_ERRNO 1
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72 | #define MATH_ERREXCEPT 2
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73 | #define math_errhandling MATH_ERREXCEPT
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74 |
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75 | /* XXX We need a <machine/math.h>. */
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76 | #if defined(__ia64__) || defined(__sparc64__)
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77 | #define FP_FAST_FMA
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78 | #endif
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79 | #ifdef __ia64__
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80 | #define FP_FAST_FMAL
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81 | #endif
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82 | #define FP_FAST_FMAF
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83 |
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84 | /* Symbolic constants to classify floating point numbers. */
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85 | #define FP_INFINITE 0x01
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86 | #define FP_NAN 0x02
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87 | #define FP_NORMAL 0x04
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88 | #define FP_SUBNORMAL 0x08
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89 | #define FP_ZERO 0x10
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90 | #define fpclassify(x) \
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91 | ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
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92 | : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
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93 | : __fpclassifyl(x))
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94 |
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95 | #define isfinite(x) \
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96 | ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \
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97 | : (sizeof (x) == sizeof (double)) ? __isfinite(x) \
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98 | : __isfinitel(x))
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99 | #ifdef IN_INNOTEK_LIBC
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100 | #undef isinf
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101 | #define isinf(x) \
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102 | ((sizeof (x) == sizeof (float)) ? __isinff(x) \
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103 | : (sizeof (x) == sizeof (double)) ? _STD(isinf)(x) \
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104 | : __isinfl(x))
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105 | #undef isnan
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106 | #define isnan(x) \
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107 | ((sizeof (x) == sizeof (float)) ? isnanf(x) \
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108 | : (sizeof (x) == sizeof (double)) ? _STD(isnan)(x) \
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109 | : __isnanl(x))
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110 | #else
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111 | #define isinf(x) \
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112 | ((sizeof (x) == sizeof (float)) ? __isinff(x) \
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113 | : (sizeof (x) == sizeof (double)) ? isinf(x) \
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114 | : __isinfl(x))
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115 | #define isnan(x) \
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116 | ((sizeof (x) == sizeof (float)) ? isnanf(x) \
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117 | : (sizeof (x) == sizeof (double)) ? isnan(x) \
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118 | : __isnanl(x))
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119 | #endif
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120 | #define isnormal(x) \
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121 | ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \
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122 | : (sizeof (x) == sizeof (double)) ? __isnormal(x) \
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123 | : __isnormall(x))
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124 |
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125 | #ifdef __MATH_BUILTIN_RELOPS
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126 | #define isgreater(x, y) __builtin_isgreater((x), (y))
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127 | #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
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128 | #define isless(x, y) __builtin_isless((x), (y))
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129 | #define islessequal(x, y) __builtin_islessequal((x), (y))
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130 | #define islessgreater(x, y) __builtin_islessgreater((x), (y))
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131 | #define isunordered(x, y) __builtin_isunordered((x), (y))
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132 | #else
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133 | #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
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134 | #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
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135 | #define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
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136 | #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
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137 | #define islessgreater(x, y) (!isunordered((x), (y)) && \
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138 | ((x) > (y) || (y) > (x)))
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139 | #define isunordered(x, y) (isnan(x) || isnan(y))
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140 | #endif /* __MATH_BUILTIN_RELOPS */
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141 |
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142 | #define signbit(x) \
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143 | ((sizeof (x) == sizeof (float)) ? __signbitf(x) \
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144 | : (sizeof (x) == sizeof (double)) ? __signbit(x) \
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145 | : __signbitl(x))
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146 |
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147 | typedef __double_t double_t;
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148 | typedef __float_t float_t;
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149 | #endif /* __ISO_C_VISIBLE >= 1999 */
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150 |
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151 | /*
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152 | * XOPEN/SVID
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153 | */
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154 | #if __BSD_VISIBLE || __XSI_VISIBLE
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155 | #define M_E 2.7182818284590452354 /* e */
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156 | #define M_LOG2E 1.4426950408889634074 /* log 2e */
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157 | #define M_LOG10E 0.43429448190325182765 /* log 10e */
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158 | #define M_LN2 0.69314718055994530942 /* log e2 */
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159 | #define M_LN10 2.30258509299404568402 /* log e10 */
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160 | #define M_PI 3.14159265358979323846 /* pi */
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161 | #define M_PI_2 1.57079632679489661923 /* pi/2 */
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162 | #define M_PI_4 0.78539816339744830962 /* pi/4 */
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163 | #define M_1_PI 0.31830988618379067154 /* 1/pi */
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164 | #define M_2_PI 0.63661977236758134308 /* 2/pi */
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165 | #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
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166 | #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
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167 | #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
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168 |
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169 | #define MAXFLOAT ((float)3.40282346638528860e+38)
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170 | extern int signgam;
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171 | #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
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172 |
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173 | #if __BSD_VISIBLE
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174 | #if 0
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175 | /* Old value from 4.4BSD-Lite math.h; this is probably better. */
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176 | #define HUGE HUGE_VAL
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177 | #else
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178 | #define HUGE MAXFLOAT
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179 | #endif
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180 | #endif /* __BSD_VISIBLE */
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181 |
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182 | /*
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183 | * Most of these functions depend on the rounding mode and have the side
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184 | * effect of raising floating-point exceptions, so they are not declared
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185 | * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
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186 | */
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187 | __BEGIN_DECLS
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188 | /*
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189 | * ANSI/POSIX
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190 | */
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191 | int __fpclassifyd(double) __pure2;
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192 | int __fpclassifyf(float) __pure2;
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193 | int __fpclassifyl(long double) __pure2;
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194 | int __isfinitef(float) __pure2;
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195 | int __isfinite(double) __pure2;
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196 | int __isfinitel(long double) __pure2;
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197 | int __isinff(float) __pure2;
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198 | int __isinfl(long double) __pure2;
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199 | int __isnanl(long double) __pure2;
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200 | int __isnormalf(float) __pure2;
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201 | int __isnormal(double) __pure2;
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202 | int __isnormall(long double) __pure2;
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203 | int __signbit(double) __pure2;
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204 | int __signbitf(float) __pure2;
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205 | int __signbitl(long double) __pure2;
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206 |
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207 | double acos(double);
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208 | double asin(double);
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209 | double atan(double);
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210 | double atan2(double, double);
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211 | double cos(double);
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212 | double sin(double);
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213 | double tan(double);
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214 |
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215 | double cosh(double);
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216 | double sinh(double);
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217 | double tanh(double);
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218 |
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219 | double exp(double);
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220 | double frexp(double, int *); /* fundamentally !__pure2 */
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221 | double ldexp(double, int);
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222 | double log(double);
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223 | double log10(double);
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224 | double modf(double, double *); /* fundamentally !__pure2 */
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225 |
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226 | double pow(double, double);
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227 | double sqrt(double);
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228 |
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229 | double ceil(double);
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230 | double fabs(double) __pure2;
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231 | double floor(double);
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232 | double fmod(double, double);
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233 |
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234 | /*
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235 | * These functions are not in C90.
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236 | */
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237 | #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
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238 | double acosh(double);
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239 | double asinh(double);
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240 | double atanh(double);
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241 | double cbrt(double);
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242 | double erf(double);
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243 | double erfc(double);
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244 | double exp2(double);
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245 | double expm1(double);
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246 | double fma(double, double, double);
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247 | double hypot(double, double);
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248 | int ilogb(double) __pure2;
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249 | #ifdef IN_INNOTEK_LIBC
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250 | int _STD(isinf)(double) __pure2;
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251 | int _STD(isnan)(double) __pure2;
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252 | #else
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253 | int (isinf)(double) __pure2;
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254 | int (isnan)(double) __pure2;
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255 | #endif
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256 | double lgamma(double);
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257 | long long llrint(double);
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258 | long long llround(double);
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259 | double log1p(double);
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260 | double logb(double);
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261 | long lrint(double);
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262 | long lround(double);
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263 | double nextafter(double, double);
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264 | double remainder(double, double);
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265 | double remquo(double, double, int *);
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266 | double rint(double);
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267 | #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
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268 |
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269 | #if __BSD_VISIBLE || __XSI_VISIBLE
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270 | double j0(double);
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271 | double j1(double);
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272 | double jn(int, double);
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273 | double scalb(double, double);
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274 | double y0(double);
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275 | double y1(double);
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276 | double yn(int, double);
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277 |
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278 | #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
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279 | double gamma(double);
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280 | #endif
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281 | #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
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282 |
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283 | #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
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284 | double copysign(double, double) __pure2;
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285 | double fdim(double, double);
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286 | double fmax(double, double) __pure2;
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287 | double fmin(double, double) __pure2;
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288 | double nearbyint(double);
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289 | double round(double);
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290 | double scalbln(double, long);
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291 | double scalbn(double, int);
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292 | double tgamma(double);
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293 | double trunc(double);
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294 | #endif
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295 |
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296 | /*
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297 | * BSD math library entry points
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298 | */
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299 | #if __BSD_VISIBLE
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300 | double drem(double, double);
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301 | int finite(double) __pure2;
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302 | int isnanf(float) __pure2;
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303 |
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304 | /*
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305 | * Reentrant version of gamma & lgamma; passes signgam back by reference
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306 | * as the second argument; user must allocate space for signgam.
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307 | */
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308 | double gamma_r(double, int *);
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309 | double lgamma_r(double, int *);
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310 |
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311 | /*
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312 | * IEEE Test Vector
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313 | */
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314 | double significand(double);
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315 | #endif /* __BSD_VISIBLE */
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316 |
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317 | /* float versions of ANSI/POSIX functions */
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318 | #if __ISO_C_VISIBLE >= 1999
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319 | float acosf(float);
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320 | float asinf(float);
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321 | float atanf(float);
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322 | float atan2f(float, float);
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323 | float cosf(float);
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324 | float sinf(float);
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325 | float tanf(float);
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326 |
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327 | float coshf(float);
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328 | float sinhf(float);
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329 | float tanhf(float);
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330 |
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331 | float exp2f(float);
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332 | float expf(float);
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333 | float expm1f(float);
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334 | float frexpf(float, int *); /* fundamentally !__pure2 */
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335 | int ilogbf(float) __pure2;
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336 | float ldexpf(float, int);
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337 | float log10f(float);
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338 | float log1pf(float);
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339 | float logf(float);
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340 | float modff(float, float *); /* fundamentally !__pure2 */
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341 |
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342 | float powf(float, float);
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343 | float sqrtf(float);
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344 |
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345 | float ceilf(float);
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346 | float fabsf(float) __pure2;
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347 | float floorf(float);
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348 | float fmodf(float, float);
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349 | float roundf(float);
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350 |
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351 | float erff(float);
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352 | float erfcf(float);
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353 | float hypotf(float, float);
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354 | float lgammaf(float);
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355 |
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356 | float acoshf(float);
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357 | float asinhf(float);
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358 | float atanhf(float);
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359 | float cbrtf(float);
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360 | float logbf(float);
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361 | float copysignf(float, float) __pure2;
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362 | long long llrintf(float);
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363 | long long llroundf(float);
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364 | long lrintf(float);
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365 | long lroundf(float);
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366 | float nearbyintf(float);
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367 | float nextafterf(float, float);
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368 | float remainderf(float, float);
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369 | float remquof(float, float, int *);
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370 | float rintf(float);
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371 | float scalblnf(float, long);
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372 | float scalbnf(float, int);
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373 | float truncf(float);
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374 |
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375 | float fdimf(float, float);
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376 | float fmaf(float, float, float);
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377 | float fmaxf(float, float) __pure2;
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378 | float fminf(float, float) __pure2;
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379 | #endif
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380 |
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381 | /*
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382 | * float versions of BSD math library entry points
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383 | */
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384 | #if __BSD_VISIBLE
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385 | float dremf(float, float);
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386 | int finitef(float) __pure2;
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387 | float gammaf(float);
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388 | float j0f(float);
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389 | float j1f(float);
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390 | float jnf(int, float);
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391 | float scalbf(float, float);
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392 | float y0f(float);
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393 | float y1f(float);
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394 | float ynf(int, float);
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395 |
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396 | /*
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397 | * Float versions of reentrant version of gamma & lgamma; passes
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398 | * signgam back by reference as the second argument; user must
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399 | * allocate space for signgam.
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400 | */
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401 | float gammaf_r(float, int *);
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402 | float lgammaf_r(float, int *);
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403 |
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404 | /*
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405 | * float version of IEEE Test Vector
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406 | */
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407 | float significandf(float);
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408 | #endif /* __BSD_VISIBLE */
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409 |
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410 | /*
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411 | * long double versions of ISO/POSIX math functions
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412 | */
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413 | #if __ISO_C_VISIBLE >= 1999
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414 | #if 1 /* bird: we've got these */
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415 | long double acoshl(long double);
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416 | long double acosl(long double);
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417 | long double asinhl(long double);
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418 | long double asinl(long double);
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419 | long double atan2l(long double, long double);
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420 | long double atanhl(long double);
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421 | long double atanl(long double);
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422 | long double cbrtl(long double);
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423 | #endif
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424 | long double ceill(long double);
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425 | long double copysignl(long double, long double) __pure2;
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426 | #if 1 /* bird */
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427 | long double coshl(long double);
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428 | long double cosl(long double);
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429 | long double erfcl(long double);
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430 | long double erfl(long double);
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431 | long double exp2l(long double);
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432 | long double expl(long double);
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433 | long double expm1l(long double);
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434 | #endif
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435 | long double fabsl(long double) __pure2;
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436 | long double fdiml(long double, long double);
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437 | long double floorl(long double);
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---|
438 | long double fmal(long double, long double, long double);
|
---|
439 | long double fmaxl(long double, long double) __pure2;
|
---|
440 | long double fminl(long double, long double) __pure2;
|
---|
441 | #if 1 /* bird */
|
---|
442 | long double fmodl(long double, long double);
|
---|
443 | #endif
|
---|
444 | long double frexpl(long double value, int *); /* fundamentally !__pure2 */
|
---|
445 | #if 1 /* bird */
|
---|
446 | long double hypotl(long double, long double);
|
---|
447 | #endif
|
---|
448 | int ilogbl(long double) __pure2;
|
---|
449 | long double ldexpl(long double, int);
|
---|
450 | #if 1 /* bird */
|
---|
451 | long double lgammal(long double);
|
---|
452 | long long llrintl(long double);
|
---|
453 | #endif
|
---|
454 | long long llroundl(long double);
|
---|
455 | #if 1 /* bird */
|
---|
456 | long double log10l(long double);
|
---|
457 | long double log1pl(long double);
|
---|
458 | long double log2l(long double);
|
---|
459 | long double logbl(long double);
|
---|
460 | long double logl(long double);
|
---|
461 | long lrintl(long double);
|
---|
462 | #endif
|
---|
463 | long lroundl(long double);
|
---|
464 | #if 1 /* bird */
|
---|
465 | long double modfl(long double, long double *); /* fundamentally !__pure2 */
|
---|
466 | long double nanl(const char *) __pure2;
|
---|
467 | long double nearbyintl(long double);
|
---|
468 | #endif
|
---|
469 | long double nextafterl(long double, long double);
|
---|
470 | double nexttoward(double, long double);
|
---|
471 | float nexttowardf(float, long double);
|
---|
472 | long double nexttowardl(long double, long double);
|
---|
473 | #if 1 /* bird */
|
---|
474 | long double powl(long double, long double);
|
---|
475 | long double remainderl(long double, long double);
|
---|
476 | long double remquol(long double, long double, int *);
|
---|
477 | long double rintl(long double);
|
---|
478 | #endif
|
---|
479 | long double roundl(long double);
|
---|
480 | long double scalblnl(long double, long);
|
---|
481 | long double scalbnl(long double, int);
|
---|
482 | #if 1 /* birdL we 've got most of these. */
|
---|
483 | long double sinhl(long double);
|
---|
484 | long double sinl(long double);
|
---|
485 | long double sqrtl(long double);
|
---|
486 | long double tanhl(long double);
|
---|
487 | long double tanl(long double);
|
---|
488 | long double tgammal(long double);
|
---|
489 | #endif
|
---|
490 | long double truncl(long double);
|
---|
491 |
|
---|
492 | /* bird: start */
|
---|
493 | double nan(const char *);
|
---|
494 | float nanf(const char *);
|
---|
495 | long double nanl(const char *);
|
---|
496 | /* bird: end */
|
---|
497 |
|
---|
498 | #endif /* __ISO_C_VISIBLE >= 1999 */
|
---|
499 |
|
---|
500 | #ifdef __USE_GNU
|
---|
501 | /*
|
---|
502 | * In GLIBC there are long variants of the XOPEN/SVID constant
|
---|
503 | * block some pages ago. We need this to get the math tests going.
|
---|
504 | */
|
---|
505 | #define M_El 2.7182818284590452353602874713526625L
|
---|
506 | #define M_LOG2El 1.4426950408889634073599246810018921L
|
---|
507 | #define M_LOG10El 0.4342944819032518276511289189166051L
|
---|
508 | #define M_LN2l 0.6931471805599453094172321214581766L
|
---|
509 | #define M_LN10l 2.3025850929940456840179914546843642L
|
---|
510 | #define M_PIl 3.1415926535897932384626433832795029L
|
---|
511 | #define M_PI_2l 1.5707963267948966192313216916397514L
|
---|
512 | #define M_PI_4l 0.7853981633974483096156608458198757L
|
---|
513 | #define M_1_PIl 0.3183098861837906715377675267450287L
|
---|
514 | #define M_2_PIl 0.6366197723675813430755350534900574L
|
---|
515 | #define M_2_SQRTPIl 1.1283791670955125738961589031215452L
|
---|
516 | #define M_SQRT2l 1.4142135623730950488016887242096981L
|
---|
517 | #define M_SQRT1_2l 0.7071067811865475244008443621048490L
|
---|
518 | #endif
|
---|
519 |
|
---|
520 | #ifdef __USE_GNU
|
---|
521 |
|
---|
522 | void sincos(double, double *, double *);
|
---|
523 | void sincosf(float, float *, float *);
|
---|
524 | void sincosl(long double, long double *, long double *);
|
---|
525 | float exp10f(float);
|
---|
526 | double exp10(double);
|
---|
527 | long double exp10l(long double);
|
---|
528 | float log2f(float);
|
---|
529 | double log2(double);
|
---|
530 | long double log2l(long double);
|
---|
531 | float tgammaf(float);
|
---|
532 | long double significandl(long double);
|
---|
533 | long double j0l(long double);
|
---|
534 | long double j1l(long double);
|
---|
535 | long double jnl(int, long double);
|
---|
536 | long double scalbl(long double, long double);
|
---|
537 | long double y0l(long double);
|
---|
538 | long double y1l(long double);
|
---|
539 | long double ynl(int, long double);
|
---|
540 | long double lgammal_r(long double,int *);
|
---|
541 | long double gammal(long double);
|
---|
542 | #endif
|
---|
543 | __END_DECLS
|
---|
544 |
|
---|
545 | #endif /* !_MATH_H_ */
|
---|