1 /* 2 * ==================================================== 3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 4 * 5 * Developed at SunPro, a Sun Microsystems, Inc. business. 6 * Permission to use, copy, modify, and distribute this 7 * software is freely granted, provided that this notice 8 * is preserved. 9 * ==================================================== 10 */ 11 12 /* 13 * from: @(#)fdlibm.h 5.1 93/09/24 14 * $FreeBSD$ 15 */ 16 17 #ifndef _MATH_PRIVATE_H_ 18 #define _MATH_PRIVATE_H_ 19 20 #include <sys/types.h> 21 #include <machine/endian.h> 22 23 /* 24 * The original fdlibm code used statements like: 25 * n0 = ((*(int*)&one)>>29)^1; * index of high word * 26 * ix0 = *(n0+(int*)&x); * high word of x * 27 * ix1 = *((1-n0)+(int*)&x); * low word of x * 28 * to dig two 32 bit words out of the 64 bit IEEE floating point 29 * value. That is non-ANSI, and, moreover, the gcc instruction 30 * scheduler gets it wrong. We instead use the following macros. 31 * Unlike the original code, we determine the endianness at compile 32 * time, not at run time; I don't see much benefit to selecting 33 * endianness at run time. 34 */ 35 36 /* 37 * A union which permits us to convert between a double and two 32 bit 38 * ints. 39 */ 40 41 #if BYTE_ORDER == BIG_ENDIAN 42 43 typedef union 44 { 45 double value; 46 struct 47 { 48 u_int32_t msw; 49 u_int32_t lsw; 50 } parts; 51 } ieee_double_shape_type; 52 53 #endif 54 55 #if BYTE_ORDER == LITTLE_ENDIAN 56 57 typedef union 58 { 59 double value; 60 struct 61 { 62 u_int32_t lsw; 63 u_int32_t msw; 64 } parts; 65 } ieee_double_shape_type; 66 67 #endif 68 69 /* Get two 32 bit ints from a double. */ 70 71 #define EXTRACT_WORDS(ix0,ix1,d) \ 72 do { \ 73 ieee_double_shape_type ew_u; \ 74 ew_u.value = (d); \ 75 (ix0) = ew_u.parts.msw; \ 76 (ix1) = ew_u.parts.lsw; \ 77 } while (0) 78 79 /* Get the more significant 32 bit int from a double. */ 80 81 #define GET_HIGH_WORD(i,d) \ 82 do { \ 83 ieee_double_shape_type gh_u; \ 84 gh_u.value = (d); \ 85 (i) = gh_u.parts.msw; \ 86 } while (0) 87 88 /* Get the less significant 32 bit int from a double. */ 89 90 #define GET_LOW_WORD(i,d) \ 91 do { \ 92 ieee_double_shape_type gl_u; \ 93 gl_u.value = (d); \ 94 (i) = gl_u.parts.lsw; \ 95 } while (0) 96 97 /* Set a double from two 32 bit ints. */ 98 99 #define INSERT_WORDS(d,ix0,ix1) \ 100 do { \ 101 ieee_double_shape_type iw_u; \ 102 iw_u.parts.msw = (ix0); \ 103 iw_u.parts.lsw = (ix1); \ 104 (d) = iw_u.value; \ 105 } while (0) 106 107 /* Set the more significant 32 bits of a double from an int. */ 108 109 #define SET_HIGH_WORD(d,v) \ 110 do { \ 111 ieee_double_shape_type sh_u; \ 112 sh_u.value = (d); \ 113 sh_u.parts.msw = (v); \ 114 (d) = sh_u.value; \ 115 } while (0) 116 117 /* Set the less significant 32 bits of a double from an int. */ 118 119 #define SET_LOW_WORD(d,v) \ 120 do { \ 121 ieee_double_shape_type sl_u; \ 122 sl_u.value = (d); \ 123 sl_u.parts.lsw = (v); \ 124 (d) = sl_u.value; \ 125 } while (0) 126 127 /* 128 * A union which permits us to convert between a float and a 32 bit 129 * int. 130 */ 131 132 typedef union 133 { 134 float value; 135 /* FIXME: Assumes 32 bit int. */ 136 unsigned int word; 137 } ieee_float_shape_type; 138 139 /* Get a 32 bit int from a float. */ 140 141 #define GET_FLOAT_WORD(i,d) \ 142 do { \ 143 ieee_float_shape_type gf_u; \ 144 gf_u.value = (d); \ 145 (i) = gf_u.word; \ 146 } while (0) 147 148 /* Set a float from a 32 bit int. */ 149 150 #define SET_FLOAT_WORD(d,i) \ 151 do { \ 152 ieee_float_shape_type sf_u; \ 153 sf_u.word = (i); \ 154 (d) = sf_u.value; \ 155 } while (0) 156 157 /* ieee style elementary functions */ 158 double __ieee754_sqrt __P((double)); 159 double __ieee754_acos __P((double)); 160 double __ieee754_acosh __P((double)); 161 double __ieee754_log __P((double)); 162 double __ieee754_atanh __P((double)); 163 double __ieee754_asin __P((double)); 164 double __ieee754_atan2 __P((double,double)); 165 double __ieee754_exp __P((double)); 166 double __ieee754_cosh __P((double)); 167 double __ieee754_fmod __P((double,double)); 168 double __ieee754_pow __P((double,double)); 169 double __ieee754_lgamma_r __P((double,int *)); 170 double __ieee754_gamma_r __P((double,int *)); 171 double __ieee754_lgamma __P((double)); 172 double __ieee754_gamma __P((double)); 173 double __ieee754_log10 __P((double)); 174 double __ieee754_sinh __P((double)); 175 double __ieee754_hypot __P((double,double)); 176 double __ieee754_j0 __P((double)); 177 double __ieee754_j1 __P((double)); 178 double __ieee754_y0 __P((double)); 179 double __ieee754_y1 __P((double)); 180 double __ieee754_jn __P((int,double)); 181 double __ieee754_yn __P((int,double)); 182 double __ieee754_remainder __P((double,double)); 183 int __ieee754_rem_pio2 __P((double,double*)); 184 double __ieee754_scalb __P((double,double)); 185 186 /* fdlibm kernel function */ 187 double __kernel_standard __P((double,double,int)); 188 double __kernel_sin __P((double,double,int)); 189 double __kernel_cos __P((double,double)); 190 double __kernel_tan __P((double,double,int)); 191 int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)); 192 193 /* ieee style elementary float functions */ 194 float __ieee754_sqrtf __P((float)); 195 float __ieee754_acosf __P((float)); 196 float __ieee754_acoshf __P((float)); 197 float __ieee754_logf __P((float)); 198 float __ieee754_atanhf __P((float)); 199 float __ieee754_asinf __P((float)); 200 float __ieee754_atan2f __P((float,float)); 201 float __ieee754_expf __P((float)); 202 float __ieee754_coshf __P((float)); 203 float __ieee754_fmodf __P((float,float)); 204 float __ieee754_powf __P((float,float)); 205 float __ieee754_lgammaf_r __P((float,int *)); 206 float __ieee754_gammaf_r __P((float,int *)); 207 float __ieee754_lgammaf __P((float)); 208 float __ieee754_gammaf __P((float)); 209 float __ieee754_log10f __P((float)); 210 float __ieee754_sinhf __P((float)); 211 float __ieee754_hypotf __P((float,float)); 212 float __ieee754_j0f __P((float)); 213 float __ieee754_j1f __P((float)); 214 float __ieee754_y0f __P((float)); 215 float __ieee754_y1f __P((float)); 216 float __ieee754_jnf __P((int,float)); 217 float __ieee754_ynf __P((int,float)); 218 float __ieee754_remainderf __P((float,float)); 219 int __ieee754_rem_pio2f __P((float,float*)); 220 float __ieee754_scalbf __P((float,float)); 221 222 /* float versions of fdlibm kernel functions */ 223 float __kernel_sinf __P((float,float,int)); 224 float __kernel_cosf __P((float,float)); 225 float __kernel_tanf __P((float,float,int)); 226 int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*)); 227 228 #if defined(__alpha__) || defined(__ia64__) || defined(__sparc64__) 229 #define __generic___ieee754_acos __ieee754_acos 230 #define __generic___ieee754_asin __ieee754_asin 231 #define __generic___ieee754_atan2 __ieee754_atan2 232 #define __generic___ieee754_exp __ieee754_exp 233 #define __generic___ieee754_fmod __ieee754_fmod 234 #define __generic___ieee754_log __ieee754_log 235 #define __generic___ieee754_log10 __ieee754_log10 236 #define __generic___ieee754_remainder __ieee754_remainder 237 #define __generic___ieee754_scalb __ieee754_scalb 238 #define __generic___ieee754_sqrt __ieee754_sqrt 239 #define __generic_atan atan 240 #define __generic_ceil ceil 241 #define __generic_copysign copysign 242 #define __generic_cos cos 243 #define __generic_finite finite 244 #define __generic_floor floor 245 #define __generic_ilogb ilogb 246 #define __generic_log1p log1p 247 #define __generic_logb logb 248 #define __generic_rint rint 249 #define __generic_scalbn scalbn 250 #define __generic_significand significand 251 #define __generic_sin sin 252 #define __generic_tan tan 253 #endif 254 255 #endif /* !_MATH_PRIVATE_H_ */ 256