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: src/lib/msun/src/math_private.h,v 1.20 2005/11/28 04:58:57 bde Exp $ 15 */ 16 17 #ifndef _MATH_PRIVATE_H_ 18 #define _MATH_PRIVATE_H_ 19 20 #include <sys/types.h> 21 #include <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) || (defined(__arm__) && !defined(__VFP_FP__)) 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 && !(defined(__arm__) && !defined(__VFP_FP__)) 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 #ifdef _COMPLEX_H 158 /* 159 * Inline functions that can be used to construct complex values. 160 * 161 * The C99 standard intends x+I*y to be used for this, but x+I*y is 162 * currently unusable in general since gcc introduces many overflow, 163 * underflow, sign and efficiency bugs by rewriting I*y as 164 * (0.0+I)*(y+0.0*I) and laboriously computing the full complex product. 165 * In particular, I*Inf is corrupted to NaN+I*Inf, and I*-0 is corrupted 166 * to -0.0+I*0.0. 167 */ 168 static __inline float complex 169 cpackf(float x, float y) 170 { 171 float complex z; 172 173 __real__ z = x; 174 __imag__ z = y; 175 return (z); 176 } 177 178 static __inline double complex 179 cpack(double x, double y) 180 { 181 double complex z; 182 183 __real__ z = x; 184 __imag__ z = y; 185 return (z); 186 } 187 188 static __inline long double complex 189 cpackl(long double x, long double y) 190 { 191 long double complex z; 192 193 __real__ z = x; 194 __imag__ z = y; 195 return (z); 196 } 197 #endif /* _COMPLEX_H */ 198 199 /* 200 * ieee style elementary functions 201 * 202 * We rename functions here to improve other sources' diffability 203 * against fdlibm. 204 */ 205 #define __ieee754_sqrt sqrt 206 #define __ieee754_acos acos 207 #define __ieee754_acosh acosh 208 #define __ieee754_log log 209 #define __ieee754_atanh atanh 210 #define __ieee754_asin asin 211 #define __ieee754_atan2 atan2 212 #define __ieee754_exp exp 213 #define __ieee754_cosh cosh 214 #define __ieee754_fmod fmod 215 #define __ieee754_pow pow 216 #define __ieee754_lgamma lgamma 217 #define __ieee754_gamma gamma 218 #define __ieee754_lgamma_r lgamma_r 219 #define __ieee754_gamma_r gamma_r 220 #define __ieee754_log10 log10 221 #define __ieee754_sinh sinh 222 #define __ieee754_hypot hypot 223 #define __ieee754_j0 j0 224 #define __ieee754_j1 j1 225 #define __ieee754_y0 y0 226 #define __ieee754_y1 y1 227 #define __ieee754_jn jn 228 #define __ieee754_yn yn 229 #define __ieee754_remainder remainder 230 #define __ieee754_scalb scalb 231 #define __ieee754_sqrtf sqrtf 232 #define __ieee754_acosf acosf 233 #define __ieee754_acoshf acoshf 234 #define __ieee754_logf logf 235 #define __ieee754_atanhf atanhf 236 #define __ieee754_asinf asinf 237 #define __ieee754_atan2f atan2f 238 #define __ieee754_expf expf 239 #define __ieee754_coshf coshf 240 #define __ieee754_fmodf fmodf 241 #define __ieee754_powf powf 242 #define __ieee754_lgammaf lgammaf 243 #define __ieee754_gammaf gammaf 244 #define __ieee754_lgammaf_r lgammaf_r 245 #define __ieee754_gammaf_r gammaf_r 246 #define __ieee754_log10f log10f 247 #define __ieee754_sinhf sinhf 248 #define __ieee754_hypotf hypotf 249 #define __ieee754_j0f j0f 250 #define __ieee754_j1f j1f 251 #define __ieee754_y0f y0f 252 #define __ieee754_y1f y1f 253 #define __ieee754_jnf jnf 254 #define __ieee754_ynf ynf 255 #define __ieee754_remainderf remainderf 256 #define __ieee754_scalbf scalbf 257 #define __ieee754_ldexpf ldexpf 258 259 /* fdlibm kernel function */ 260 int __ieee754_rem_pio2(double,double*); 261 double __kernel_sin(double,double,int); 262 double __kernel_cos(double,double); 263 double __kernel_tan(double,double,int); 264 int __kernel_rem_pio2(double*,double*,int,int,int,const int*); 265 266 /* float versions of fdlibm kernel functions */ 267 int __ieee754_rem_pio2f(float,float*); 268 float __kernel_sindf(double); 269 float __kernel_cosdf(double); 270 float __kernel_tandf(double,int); 271 int __kernel_rem_pio2f(float*,float*,int,int,int,const int*); 272 273 #endif /* !_MATH_PRIVATE_H_ */ 274
