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 | * $Id$ |
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15 | */ |
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16 | |
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17 | #ifndef _MATH_PRIVATE_H_ |
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18 | #define _MATH_PRIVATE_H_ |
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19 | |
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20 | #include <endian.h> |
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21 | #include <sys/types.h> |
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22 | #include <machine/weakalias.h> |
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23 | #include <machine/huge_val.h> |
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24 | |
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25 | #define __nan nan |
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26 | #define __isnan isnan |
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27 | #define __isinf isinf |
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28 | #define __copysignf copysignf |
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29 | #define __copysign copysign |
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30 | #define __nanf nanf |
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31 | #define feraiseexcept(x) /* nothing */ |
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32 | #define __sincos sincos |
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33 | #define __sincosf sincosf |
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34 | |
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35 | int __signbitd (double x); |
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36 | int __signbitf (float x); |
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37 | |
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38 | /* The original fdlibm code used statements like: |
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39 | n0 = ((*(int*)&one)>>29)^1; * index of high word * |
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40 | ix0 = *(n0+(int*)&x); * high word of x * |
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41 | ix1 = *((1-n0)+(int*)&x); * low word of x * |
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42 | to dig two 32 bit words out of the 64 bit IEEE floating point |
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43 | value. That is non-ANSI, and, moreover, the gcc instruction |
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44 | scheduler gets it wrong. We instead use the following macros. |
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45 | Unlike the original code, we determine the endianness at compile |
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46 | time, not at run time; I don't see much benefit to selecting |
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47 | endianness at run time. */ |
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48 | |
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49 | /* A union which permits us to convert between a double and two 32 bit |
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50 | ints. */ |
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51 | |
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52 | #if __FLOAT_WORD_ORDER == BIG_ENDIAN |
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53 | |
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54 | typedef union |
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55 | { |
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56 | double value; |
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57 | struct |
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58 | { |
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59 | u_int32_t msw; |
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60 | u_int32_t lsw; |
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61 | } parts; |
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62 | } ieee_double_shape_type; |
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63 | |
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64 | #endif |
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65 | |
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66 | #if __FLOAT_WORD_ORDER == LITTLE_ENDIAN |
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67 | |
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68 | typedef union |
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69 | { |
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70 | double value; |
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71 | struct |
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72 | { |
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73 | u_int32_t lsw; |
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74 | u_int32_t msw; |
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75 | } parts; |
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76 | } ieee_double_shape_type; |
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77 | |
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78 | #endif |
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79 | |
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80 | /* Get two 32 bit ints from a double. */ |
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81 | |
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82 | #define EXTRACT_WORDS(ix0,ix1,d) \ |
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83 | do { \ |
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84 | ieee_double_shape_type ew_u; \ |
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85 | ew_u.value = (d); \ |
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86 | (ix0) = ew_u.parts.msw; \ |
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87 | (ix1) = ew_u.parts.lsw; \ |
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88 | } while (0) |
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89 | |
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90 | /* Get the more significant 32 bit int from a double. */ |
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91 | |
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92 | #define GET_HIGH_WORD(i,d) \ |
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93 | do { \ |
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94 | ieee_double_shape_type gh_u; \ |
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95 | gh_u.value = (d); \ |
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96 | (i) = gh_u.parts.msw; \ |
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97 | } while (0) |
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98 | |
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99 | /* Get the less significant 32 bit int from a double. */ |
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100 | |
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101 | #define GET_LOW_WORD(i,d) \ |
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102 | do { \ |
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103 | ieee_double_shape_type gl_u; \ |
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104 | gl_u.value = (d); \ |
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105 | (i) = gl_u.parts.lsw; \ |
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106 | } while (0) |
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107 | |
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108 | /* Set a double from two 32 bit ints. */ |
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109 | |
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110 | #define INSERT_WORDS(d,ix0,ix1) \ |
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111 | do { \ |
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112 | ieee_double_shape_type iw_u; \ |
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113 | iw_u.parts.msw = (ix0); \ |
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114 | iw_u.parts.lsw = (ix1); \ |
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115 | (d) = iw_u.value; \ |
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116 | } while (0) |
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117 | |
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118 | /* Set the more significant 32 bits of a double from an int. */ |
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119 | |
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120 | #define SET_HIGH_WORD(d,v) \ |
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121 | do { \ |
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122 | ieee_double_shape_type sh_u; \ |
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123 | sh_u.value = (d); \ |
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124 | sh_u.parts.msw = (v); \ |
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125 | (d) = sh_u.value; \ |
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126 | } while (0) |
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127 | |
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128 | /* Set the less significant 32 bits of a double from an int. */ |
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129 | |
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130 | #define SET_LOW_WORD(d,v) \ |
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131 | do { \ |
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132 | ieee_double_shape_type sl_u; \ |
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133 | sl_u.value = (d); \ |
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134 | sl_u.parts.lsw = (v); \ |
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135 | (d) = sl_u.value; \ |
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136 | } while (0) |
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137 | |
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138 | /* A union which permits us to convert between a float and a 32 bit |
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139 | int. */ |
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140 | |
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141 | typedef union |
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142 | { |
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143 | float value; |
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144 | u_int32_t word; |
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145 | } ieee_float_shape_type; |
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146 | |
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147 | /* Get a 32 bit int from a float. */ |
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148 | |
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149 | #define GET_FLOAT_WORD(i,d) \ |
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150 | do { \ |
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151 | ieee_float_shape_type gf_u; \ |
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152 | gf_u.value = (d); \ |
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153 | (i) = gf_u.word; \ |
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154 | } while (0) |
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155 | |
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156 | /* Set a float from a 32 bit int. */ |
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157 | |
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158 | #define SET_FLOAT_WORD(d,i) \ |
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159 | do { \ |
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160 | ieee_float_shape_type sf_u; \ |
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161 | sf_u.word = (i); \ |
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162 | (d) = sf_u.value; \ |
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163 | } while (0) |
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164 | |
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165 | #if 0 |
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166 | /* ieee style elementary functions */ |
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167 | extern double __ieee754_sqrt (double); |
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168 | extern double __ieee754_acos (double); |
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169 | extern double __ieee754_acosh (double); |
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170 | extern double __ieee754_log (double); |
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171 | extern double __ieee754_atanh (double); |
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172 | extern double __ieee754_asin (double); |
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173 | extern double __ieee754_atan2 (double,double); |
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174 | extern double __ieee754_exp (double); |
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175 | extern double __ieee754_exp2 (double); |
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176 | extern double __ieee754_exp10 (double); |
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177 | extern double __ieee754_cosh (double); |
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178 | extern double __ieee754_fmod (double,double); |
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179 | extern double __ieee754_pow (double,double); |
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180 | extern double __ieee754_lgamma_r (double,int *); |
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181 | extern double __ieee754_gamma_r (double,int *); |
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182 | extern double __ieee754_lgamma (double); |
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183 | extern double __ieee754_gamma (double); |
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184 | extern double __ieee754_log10 (double); |
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185 | extern double __ieee754_log2 (double); |
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186 | extern double __ieee754_sinh (double); |
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187 | extern double __ieee754_hypot (double,double); |
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188 | extern double __ieee754_j0 (double); |
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189 | extern double __ieee754_j1 (double); |
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190 | extern double __ieee754_y0 (double); |
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191 | extern double __ieee754_y1 (double); |
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192 | extern double __ieee754_jn (int,double); |
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193 | extern double __ieee754_yn (int,double); |
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194 | extern double __ieee754_remainder (double,double); |
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195 | extern int32_t __ieee754_rem_pio2 (double,double*); |
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196 | extern double __ieee754_scalb (double,double); |
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197 | #endif |
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198 | |
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199 | /* This is necessary because the hardware accelerated version of libm |
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200 | does not provide the __ieee754 functions. */ |
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201 | #define __ieee754_sinh sinh |
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202 | #define __ieee754_hypot hypot |
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203 | #define __ieee754_hypotf hypotf |
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204 | #define __ieee754_logf logf |
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205 | #define __ieee754_log10 log10 |
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206 | #define __ieee754_exp exp |
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207 | #define __ieee754_cosh cosh |
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208 | #define __ieee754_expf expf |
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209 | #define __ieee754_log10f log10f |
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210 | #define __ieee754_atan2 atan2 |
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211 | #define __ieee754_sqrtf sqrtf |
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212 | #define __ieee754_sinhf sinhf |
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213 | #define __ieee754_log log |
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214 | #define __ieee754_sqrt sqrt |
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215 | #define __ieee754_coshf coshf |
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216 | #define __ieee754_atan2f atan2f |
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217 | |
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218 | /* fdlibm kernel function */ |
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219 | extern double __kernel_standard (double,double,int); |
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220 | extern double __kernel_sin (double,double,int); |
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221 | extern double __kernel_cos (double,double); |
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222 | extern double __kernel_tan (double,double,int); |
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223 | extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*); |
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224 | |
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225 | /* internal functions. */ |
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226 | extern double __copysign (double x, double __y); |
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227 | |
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228 | |
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229 | /* ieee style elementary float functions */ |
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230 | extern float __ieee754_sqrtf (float); |
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231 | extern float __ieee754_acosf (float); |
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232 | extern float __ieee754_acoshf (float); |
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233 | extern float __ieee754_logf (float); |
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234 | extern float __ieee754_atanhf (float); |
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235 | extern float __ieee754_asinf (float); |
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236 | extern float __ieee754_atan2f (float,float); |
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237 | extern float __ieee754_expf (float); |
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238 | extern float __ieee754_exp2f (float); |
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239 | extern float __ieee754_exp10f (float); |
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240 | extern float __ieee754_coshf (float); |
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241 | extern float __ieee754_fmodf (float,float); |
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242 | extern float __ieee754_powf (float,float); |
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243 | extern float __ieee754_lgammaf_r (float,int *); |
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244 | extern float __ieee754_gammaf_r (float,int *); |
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245 | extern float __ieee754_lgammaf (float); |
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246 | extern float __ieee754_gammaf (float); |
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247 | extern float __ieee754_log10f (float); |
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248 | extern float __ieee754_log2f (float); |
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249 | extern float __ieee754_sinhf (float); |
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250 | extern float __ieee754_hypotf (float,float); |
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251 | extern float __ieee754_j0f (float); |
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252 | extern float __ieee754_j1f (float); |
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253 | extern float __ieee754_y0f (float); |
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254 | extern float __ieee754_y1f (float); |
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255 | extern float __ieee754_jnf (int,float); |
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256 | extern float __ieee754_ynf (int,float); |
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257 | extern float __ieee754_remainderf (float,float); |
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258 | extern int32_t __ieee754_rem_pio2f (float,float*); |
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259 | extern float __ieee754_scalbf (float,float); |
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260 | |
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261 | |
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262 | /* float versions of fdlibm kernel functions */ |
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263 | extern float __kernel_sinf (float,float,int); |
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264 | extern float __kernel_cosf (float,float); |
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265 | extern float __kernel_tanf (float,float,int); |
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266 | extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*); |
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267 | |
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268 | |
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269 | /* ieee style elementary long double functions */ |
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270 | extern long double __ieee754_sqrtl (long double); |
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271 | extern long double __ieee754_acosl (long double); |
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272 | extern long double __ieee754_acoshl (long double); |
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273 | extern long double __ieee754_logl (long double); |
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274 | extern long double __ieee754_atanhl (long double); |
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275 | extern long double __ieee754_asinl (long double); |
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276 | extern long double __ieee754_atan2l (long double,long double); |
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277 | extern long double __ieee754_expl (long double); |
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278 | extern long double __ieee754_exp2l (long double); |
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279 | extern long double __ieee754_exp10l (long double); |
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280 | extern long double __ieee754_coshl (long double); |
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281 | extern long double __ieee754_fmodl (long double,long double); |
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282 | extern long double __ieee754_powl (long double,long double); |
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283 | extern long double __ieee754_lgammal_r (long double,int *); |
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284 | extern long double __ieee754_gammal_r (long double,int *); |
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285 | extern long double __ieee754_lgammal (long double); |
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286 | extern long double __ieee754_gammal (long double); |
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287 | extern long double __ieee754_log10l (long double); |
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288 | extern long double __ieee754_log2l (long double); |
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289 | extern long double __ieee754_sinhl (long double); |
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290 | extern long double __ieee754_hypotl (long double,long double); |
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291 | extern long double __ieee754_j0l (long double); |
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292 | extern long double __ieee754_j1l (long double); |
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293 | extern long double __ieee754_y0l (long double); |
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294 | extern long double __ieee754_y1l (long double); |
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295 | extern long double __ieee754_jnl (int,long double); |
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296 | extern long double __ieee754_ynl (int,long double); |
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297 | extern long double __ieee754_remainderl (long double,long double); |
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298 | extern int __ieee754_rem_pio2l (long double,long double*); |
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299 | extern long double __ieee754_scalbl (long double,long double); |
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300 | |
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301 | /* long double versions of fdlibm kernel functions */ |
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302 | extern long double __kernel_sinl (long double,long double,int); |
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303 | extern long double __kernel_cosl (long double,long double); |
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304 | extern long double __kernel_tanl (long double,long double,int); |
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305 | extern void __kernel_sincosl (long double,long double, |
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306 | long double *,long double *, int); |
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307 | extern int __kernel_rem_pio2l (long double*,long double*,int,int, |
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308 | int,const int*); |
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309 | |
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310 | #ifndef NO_LONG_DOUBLE |
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311 | /* prototypes required to compile the ldbl-96 support without warnings */ |
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312 | extern int __finitel (long double); |
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313 | extern int __ilogbl (long double); |
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314 | extern int __isinfl (long double); |
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315 | extern int __isnanl (long double); |
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316 | extern long double __atanl (long double); |
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317 | extern long double __copysignl (long double, long double); |
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318 | extern long double __expm1l (long double); |
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319 | extern long double __floorl (long double); |
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320 | extern long double __frexpl (long double, int *); |
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321 | extern long double __ldexpl (long double, int); |
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322 | extern long double __log1pl (long double); |
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323 | extern long double __nanl (const char *); |
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324 | extern long double __rintl (long double); |
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325 | extern long double __scalbnl (long double, int); |
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326 | extern long double __sqrtl (long double x); |
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327 | extern long double fabsl (long double x); |
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328 | extern void __sincosl (long double, long double *, long double *); |
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329 | extern long double __logbl (long double x); |
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330 | extern long double __significandl (long double x); |
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331 | #endif |
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332 | |
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333 | /* Prototypes for functions of the IBM Accurate Mathematical Library. */ |
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334 | extern double __exp1 (double __x, double __xx, double __error); |
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335 | extern double __sin (double __x); |
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336 | extern double __cos (double __x); |
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337 | extern int __branred (double __x, double *__a, double *__aa); |
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338 | extern void __doasin (double __x, double __dx, double __v[]); |
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339 | extern void __dubsin (double __x, double __dx, double __v[]); |
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340 | extern void __dubcos (double __x, double __dx, double __v[]); |
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341 | extern double __halfulp (double __x, double __y); |
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342 | extern double __sin32 (double __x, double __res, double __res1); |
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343 | extern double __cos32 (double __x, double __res, double __res1); |
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344 | extern double __mpsin (double __x, double __dx); |
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345 | extern double __mpcos (double __x, double __dx); |
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346 | extern double __mpsin1 (double __x); |
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347 | extern double __mpcos1 (double __x); |
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348 | extern double __slowexp (double __x); |
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349 | extern double __slowpow (double __x, double __y, double __z); |
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350 | extern void __docos (double __x, double __dx, double __v[]); |
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351 | |
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352 | #endif /* _MATH_PRIVATE_H_ */ |
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