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1 | 13 | up20180614 | /* $NetBSD: math.h,v 1.63 2013/09/16 15:54:42 martin Exp $ */
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2 | |||
3 | /*
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4 | * ====================================================
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5 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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6 | *
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7 | * Developed at SunPro, a Sun Microsystems, Inc. business.
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8 | * Permission to use, copy, modify, and distribute this
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9 | * software is freely granted, provided that this notice
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10 | * is preserved.
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11 | * ====================================================
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12 | */
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13 | |||
14 | /*
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15 | * @(#)fdlibm.h 5.1 93/09/24
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16 | */
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17 | |||
18 | #ifndef _MATH_H_
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19 | #define _MATH_H_
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20 | |||
21 | #include <sys/cdefs.h> |
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22 | #include <sys/featuretest.h> |
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23 | |||
24 | union __float_u {
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25 | unsigned char __dummy[sizeof(float)]; |
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26 | float __val;
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27 | }; |
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28 | |||
29 | union __double_u {
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30 | unsigned char __dummy[sizeof(double)]; |
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31 | double __val;
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32 | }; |
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33 | |||
34 | union __long_double_u {
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35 | unsigned char __dummy[sizeof(long double)]; |
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36 | long double __val; |
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37 | }; |
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38 | |||
39 | #include <machine/math.h> /* may use __float_u, __double_u, |
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40 | or __long_double_u */
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41 | #include <limits.h> /* for INT_{MIN,MAX} */ |
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42 | |||
43 | #if ((_POSIX_C_SOURCE - 0) >= 200809L || defined(_NETBSD_SOURCE)) |
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44 | # if defined(__FLT_EVAL_METHOD__) && (__FLT_EVAL_METHOD__ - 0) == 0 |
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45 | typedef double double_t; |
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46 | typedef float float_t; |
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47 | # elif (__FLT_EVAL_METHOD__ - 0) == 1 |
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48 | typedef double double_t; |
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49 | typedef double float_t; |
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50 | # elif (__FLT_EVAL_METHOD__ - 0) == 2 |
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51 | typedef long double double_t; |
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52 | typedef long double float_t; |
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53 | # endif
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54 | #endif
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55 | |||
56 | #ifdef __HAVE_LONG_DOUBLE
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57 | #define __fpmacro_unary_floating(__name, __arg0) \
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58 | /* LINTED */ \
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59 | ((sizeof (__arg0) == sizeof (float)) \ |
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60 | ? __ ## __name ## f (__arg0) \ |
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61 | : (sizeof (__arg0) == sizeof (double)) \ |
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62 | ? __ ## __name ## d (__arg0) \ |
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63 | : __ ## __name ## l (__arg0)) |
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64 | #else
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65 | #define __fpmacro_unary_floating(__name, __arg0) \
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66 | /* LINTED */ \
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67 | ((sizeof (__arg0) == sizeof (float)) \ |
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68 | ? __ ## __name ## f (__arg0) \ |
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69 | : __ ## __name ## d (__arg0)) |
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70 | #endif /* __HAVE_LONG_DOUBLE */ |
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71 | |||
72 | /*
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73 | * ANSI/POSIX
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74 | */
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75 | /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
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76 | #if __GNUC_PREREQ__(3, 3) |
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77 | #define HUGE_VAL __builtin_huge_val()
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78 | #else
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79 | extern const union __double_u __infinity; |
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80 | #define HUGE_VAL __infinity.__val
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81 | #endif
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82 | |||
83 | /*
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84 | * ISO C99
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85 | */
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86 | #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
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87 | !defined(_XOPEN_SOURCE) || \ |
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88 | ((__STDC_VERSION__ - 0) >= 199901L) || \ |
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89 | ((_POSIX_C_SOURCE - 0) >= 200112L) || \ |
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90 | ((_XOPEN_SOURCE - 0) >= 600) || \ |
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91 | defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) |
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92 | /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
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93 | #if __GNUC_PREREQ__(3, 3) |
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94 | #define HUGE_VALF __builtin_huge_valf()
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95 | #define HUGE_VALL __builtin_huge_vall()
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96 | #else
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97 | extern const union __float_u __infinityf; |
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98 | #define HUGE_VALF __infinityf.__val
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99 | |||
100 | extern const union __long_double_u __infinityl; |
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101 | #define HUGE_VALL __infinityl.__val
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102 | #endif
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103 | |||
104 | /* 7.12#4 INFINITY */
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105 | #if defined(__INFINITY)
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106 | #define INFINITY __INFINITY /* float constant which overflows */ |
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107 | #elif __GNUC_PREREQ__(3, 3) |
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108 | #define INFINITY __builtin_inff()
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109 | #else
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110 | #define INFINITY HUGE_VALF /* positive infinity */ |
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111 | #endif /* __INFINITY */ |
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112 | |||
113 | /* 7.12#5 NAN: a quiet NaN, if supported */
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114 | #ifdef __HAVE_NANF
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115 | #if __GNUC_PREREQ__(3,3) |
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116 | #define NAN __builtin_nanf("") |
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117 | #else
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118 | extern const union __float_u __nanf; |
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119 | #define NAN __nanf.__val
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120 | #endif
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121 | #endif /* __HAVE_NANF */ |
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122 | |||
123 | /* 7.12#6 number classification macros */
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124 | #define FP_INFINITE 0x00 |
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125 | #define FP_NAN 0x01 |
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126 | #define FP_NORMAL 0x02 |
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127 | #define FP_SUBNORMAL 0x03 |
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128 | #define FP_ZERO 0x04 |
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129 | /* NetBSD extensions */
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130 | #define _FP_LOMD 0x80 /* range for machine-specific classes */ |
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131 | #define _FP_HIMD 0xff |
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132 | |||
133 | #define FP_ILOGB0 INT_MIN
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134 | #define FP_ILOGBNAN INT_MAX
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135 | |||
136 | #endif /* !_ANSI_SOURCE && ... */ |
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137 | |||
138 | /*
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139 | * XOPEN/SVID
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140 | */
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141 | #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
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142 | #define M_E 2.7182818284590452354 /* e */ |
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143 | #define M_LOG2E 1.4426950408889634074 /* log 2e */ |
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144 | #define M_LOG10E 0.43429448190325182765 /* log 10e */ |
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145 | #define M_LN2 0.69314718055994530942 /* log e2 */ |
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146 | #define M_LN10 2.30258509299404568402 /* log e10 */ |
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147 | #define M_PI 3.14159265358979323846 /* pi */ |
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148 | #define M_PI_2 1.57079632679489661923 /* pi/2 */ |
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149 | #define M_PI_4 0.78539816339744830962 /* pi/4 */ |
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150 | #define M_1_PI 0.31830988618379067154 /* 1/pi */ |
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151 | #define M_2_PI 0.63661977236758134308 /* 2/pi */ |
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152 | #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ |
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153 | #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ |
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154 | #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ |
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155 | |||
156 | #define MAXFLOAT ((float)3.40282346638528860e+38) |
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157 | extern int signgam; |
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158 | #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ |
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159 | |||
160 | #if defined(_NETBSD_SOURCE)
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161 | enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; |
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162 | |||
163 | #define _LIB_VERSION_TYPE enum fdversion |
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164 | #define _LIB_VERSION _fdlib_version
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165 | |||
166 | /* if global variable _LIB_VERSION is not desirable, one may
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167 | * change the following to be a constant by:
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168 | * #define _LIB_VERSION_TYPE const enum version
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169 | * In that case, after one initializes the value _LIB_VERSION (see
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170 | * s_lib_version.c) during compile time, it cannot be modified
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171 | * in the middle of a program
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172 | */
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173 | extern _LIB_VERSION_TYPE _LIB_VERSION;
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174 | |||
175 | #define _IEEE_ fdlibm_ieee
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176 | #define _SVID_ fdlibm_svid
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177 | #define _XOPEN_ fdlibm_xopen
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178 | #define _POSIX_ fdlibm_posix
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179 | |||
180 | #ifndef __cplusplus
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181 | struct exception {
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182 | int type;
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183 | const char *name; |
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184 | double arg1;
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185 | double arg2;
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186 | double retval;
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187 | }; |
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188 | #endif
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189 | |||
190 | #define HUGE MAXFLOAT
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191 | |||
192 | /*
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193 | * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
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194 | * (one may replace the following line by "#include <values.h>")
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195 | */
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196 | |||
197 | #define X_TLOSS 1.41484755040568800000e+16 |
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198 | |||
199 | #define DOMAIN 1 |
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200 | #define SING 2 |
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201 | #define OVERFLOW 3 |
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202 | #define UNDERFLOW 4 |
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203 | #define TLOSS 5 |
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204 | #define PLOSS 6 |
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205 | |||
206 | #endif /* _NETBSD_SOURCE */ |
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207 | |||
208 | __BEGIN_DECLS |
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209 | /*
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210 | * ANSI/POSIX
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211 | */
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212 | double acos(double); |
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213 | double asin(double); |
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214 | double atan(double); |
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215 | double atan2(double, double); |
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216 | double cos(double); |
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217 | double sin(double); |
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218 | double tan(double); |
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219 | |||
220 | double cosh(double); |
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221 | double sinh(double); |
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222 | double tanh(double); |
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223 | |||
224 | double exp(double); |
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225 | double exp2(double); |
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226 | double frexp(double, int *); |
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227 | double ldexp(double, int); |
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228 | double log(double); |
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229 | double log2(double); |
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230 | double log10(double); |
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231 | double modf(double, double *); |
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232 | |||
233 | double pow(double, double); |
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234 | double sqrt(double); |
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235 | |||
236 | double ceil(double); |
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237 | double fabs(double); |
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238 | double floor(double); |
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239 | double fmod(double, double); |
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240 | |||
241 | #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
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242 | double erf(double); |
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243 | double erfc(double); |
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244 | double gamma(double); |
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245 | double hypot(double, double); |
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246 | int finite(double); |
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247 | double j0(double); |
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248 | double j1(double); |
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249 | double jn(int, double); |
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250 | double lgamma(double); |
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251 | double y0(double); |
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252 | double y1(double); |
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253 | double yn(int, double); |
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254 | |||
255 | #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) |
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256 | double acosh(double); |
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257 | double asinh(double); |
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258 | double atanh(double); |
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259 | double cbrt(double); |
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260 | double expm1(double); |
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261 | int ilogb(double); |
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262 | double log1p(double); |
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263 | double logb(double); |
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264 | double nextafter(double, double); |
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265 | double remainder(double, double); |
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266 | double rint(double); |
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267 | double scalb(double, double); |
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268 | #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ |
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269 | #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ |
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270 | |||
271 | /*
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272 | * ISO C99
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273 | */
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274 | #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
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275 | !defined(_XOPEN_SOURCE) || \ |
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276 | ((__STDC_VERSION__ - 0) >= 199901L) || \ |
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277 | ((_POSIX_C_SOURCE - 0) >= 200112L) || \ |
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278 | ((_XOPEN_SOURCE - 0) >= 600) || \ |
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279 | defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) |
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280 | /* 7.12.3.1 int fpclassify(real-floating x) */
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281 | #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
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282 | |||
283 | /* 7.12.3.2 int isfinite(real-floating x) */
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284 | #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
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285 | |||
286 | /* 7.12.3.5 int isnormal(real-floating x) */
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287 | #define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
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288 | |||
289 | /* 7.12.3.6 int signbit(real-floating x) */
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290 | #define signbit(__x) __fpmacro_unary_floating(signbit, __x)
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291 | |||
292 | /* 7.12.4 trigonometric */
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293 | |||
294 | float acosf(float); |
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295 | float asinf(float); |
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296 | float atanf(float); |
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297 | float atan2f(float, float); |
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298 | float cosf(float); |
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299 | float sinf(float); |
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300 | float tanf(float); |
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301 | |||
302 | long double acosl(long double); |
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303 | long double asinl(long double); |
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304 | long double atanl(long double); |
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305 | long double atan2l(long double, long double); |
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306 | long double cosl(long double); |
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307 | long double sinl(long double); |
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308 | long double tanl(long double); |
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309 | |||
310 | /* 7.12.5 hyperbolic */
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311 | |||
312 | float acoshf(float); |
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313 | float asinhf(float); |
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314 | float atanhf(float); |
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315 | float coshf(float); |
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316 | float sinhf(float); |
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317 | float tanhf(float); |
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318 | long double acoshl(long double); |
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319 | long double asinhl(long double); |
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320 | long double atanhl(long double); |
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321 | long double coshl(long double); |
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322 | long double sinhl(long double); |
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323 | long double tanhl(long double); |
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324 | |||
325 | /* 7.12.6 exp / log */
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326 | |||
327 | float expf(float); |
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328 | float exp2f(float); |
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329 | float expm1f(float); |
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330 | float frexpf(float, int *); |
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331 | int ilogbf(float); |
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332 | float ldexpf(float, int); |
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333 | float logf(float); |
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334 | float log2f(float); |
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335 | float log10f(float); |
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336 | float log1pf(float); |
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337 | float logbf(float); |
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338 | float modff(float, float *); |
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339 | float scalbnf(float, int); |
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340 | float scalblnf(float, long); |
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341 | |||
342 | long double expl(long double); |
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343 | long double exp2l(long double); |
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344 | long double expm1l(long double); |
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345 | long double frexpl(long double, int *); |
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346 | int ilogbl(long double); |
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347 | long double ldexpl(long double, int); |
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348 | long double logl(long double); |
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349 | long double log2l(long double); |
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350 | long double log10l(long double); |
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351 | long double log1pl(long double); |
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352 | long double logbl(long double); |
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353 | long double modfl(long double, long double *); |
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354 | long double scalbnl(long double, int); |
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355 | long double scalblnl(long double, long); |
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356 | |||
357 | |||
358 | /* 7.12.7 power / absolute */
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359 | |||
360 | float cbrtf(float); |
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361 | float fabsf(float); |
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362 | float hypotf(float, float); |
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363 | float powf(float, float); |
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364 | float sqrtf(float); |
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365 | long double cbrtl(long double); |
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366 | long double fabsl(long double); |
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367 | long double hypotl(long double, long double); |
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368 | long double powl(long double, long double); |
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369 | long double sqrtl(long double); |
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370 | |||
371 | /* 7.12.8 error / gamma */
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372 | |||
373 | double tgamma(double); |
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374 | float erff(float); |
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375 | float erfcf(float); |
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376 | float lgammaf(float); |
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377 | float tgammaf(float); |
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378 | long double erfl(long double); |
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379 | long double erfcl(long double); |
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380 | long double lgammal(long double); |
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381 | long double tgammal(long double); |
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382 | |||
383 | /* 7.12.9 nearest integer */
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384 | |||
385 | /* LONGLONG */
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386 | long long int llrint(double); |
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387 | long int lround(double); |
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388 | /* LONGLONG */
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389 | long long int llround(double); |
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390 | long int lrint(double); |
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391 | double round(double); |
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392 | double trunc(double); |
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393 | |||
394 | float ceilf(float); |
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395 | float floorf(float); |
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396 | /* LONGLONG */
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397 | long long int llrintf(float); |
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398 | long int lroundf(float); |
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399 | /* LONGLONG */
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400 | long long int llroundf(float); |
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401 | long int lrintf(float); |
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402 | float rintf(float); |
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403 | float roundf(float); |
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404 | float truncf(float); |
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405 | long double ceill(long double); |
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406 | long double floorl(long double); |
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407 | /* LONGLONG */
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408 | long long int llrintl(long double); |
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409 | long int lroundl(long double); |
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410 | /* LONGLONG */
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411 | long long int llroundl(long double); |
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412 | long int lrintl(long double); |
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413 | long double rintl(long double); |
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414 | long double roundl(long double); |
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415 | long double truncl(long double); |
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416 | |||
417 | /* 7.12.10 remainder */
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418 | |||
419 | float fmodf(float, float); |
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420 | float remainderf(float, float); |
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421 | long double fmodl(long double, long double); |
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422 | long double remainderl(long double, long double); |
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423 | |||
424 | /* 7.12.10.3 The remquo functions */
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425 | double remquo(double, double, int *); |
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426 | float remquof(float, float, int *); |
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427 | long double remquol(long double, long double, int *); |
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428 | |||
429 | /* 7.12.11 manipulation */
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430 | |||
431 | double nan(const char *); |
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432 | double nearbyint(double); |
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433 | double nexttoward(double, long double); |
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434 | float copysignf(float, float); |
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435 | float nanf(const char *); |
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436 | float nearbyintf(float); |
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437 | float nextafterf(float, float); |
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438 | float nexttowardf(float, long double); |
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439 | long double copysignl(long double, long double); |
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440 | long double nanl(const char *); |
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441 | long double nearbyintl(long double); |
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442 | long double nextafterl(long double, long double); |
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443 | long double nexttowardl(long double, long double); |
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444 | |||
445 | /* 7.12.14 comparison */
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446 | |||
447 | #define isunordered(x, y) (isnan(x) || isnan(y))
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448 | #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
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449 | #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
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450 | #define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
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451 | #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
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452 | #define islessgreater(x, y) (!isunordered((x), (y)) && \
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453 | ((x) > (y) || (y) > (x))) |
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454 | double fdim(double, double); |
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455 | double fma(double, double, double); |
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456 | double fmax(double, double); |
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457 | double fmin(double, double); |
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458 | float fdimf(float, float); |
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459 | float fmaf(float, float, float); |
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460 | float fmaxf(float, float); |
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461 | float fminf(float, float); |
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462 | long double fdiml(long double, long double); |
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463 | long double fmal(long double, long double, long double); |
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464 | long double fmaxl(long double, long double); |
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465 | long double fminl(long double, long double); |
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466 | |||
467 | #endif /* !_ANSI_SOURCE && ... */ |
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468 | |||
469 | #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \
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470 | !defined(_XOPEN_SOURCE) || \ |
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471 | ((__STDC_VERSION__ - 0) >= 199901L) || \ |
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472 | ((_POSIX_C_SOURCE - 0) >= 200112L) || \ |
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473 | defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) |
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474 | /* 7.12.3.3 int isinf(real-floating x) */
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475 | #if defined(__isinf) || defined(__HAVE_INLINE___ISINF)
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476 | #define isinf(__x) __isinf(__x)
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477 | #else
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478 | #define isinf(__x) __fpmacro_unary_floating(isinf, __x)
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479 | #endif
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480 | |||
481 | /* 7.12.3.4 int isnan(real-floating x) */
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482 | #if defined(__isnan) || defined(__HAVE_INLINE___ISNAN)
|
||
483 | #define isnan(__x) __isnan(__x)
|
||
484 | #else
|
||
485 | #define isnan(__x) __fpmacro_unary_floating(isnan, __x)
|
||
486 | #endif
|
||
487 | #endif /* !_ANSI_SOURCE && ... */ |
||
488 | |||
489 | #if defined(_NETBSD_SOURCE)
|
||
490 | #ifndef __cplusplus
|
||
491 | int matherr(struct exception *); |
||
492 | #endif
|
||
493 | |||
494 | /*
|
||
495 | * IEEE Test Vector
|
||
496 | */
|
||
497 | double significand(double); |
||
498 | |||
499 | /*
|
||
500 | * Functions callable from C, intended to support IEEE arithmetic.
|
||
501 | */
|
||
502 | double copysign(double, double); |
||
503 | double scalbn(double, int); |
||
504 | double scalbln(double, long); |
||
505 | |||
506 | /*
|
||
507 | * 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_ */ |