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 #ifdef FLT_EVAL_METHOD 158 /* 159 * Attempt to get strict C99 semantics for assignment with non-C99 compilers. 160 */ 161 #if FLT_EVAL_METHOD == 0 || __GNUC__ == 0 162 #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) 163 #else 164 #define STRICT_ASSIGN(type, lval, rval) do { \ 165 volatile type __lval; \ 166 \ 167 if (sizeof(type) >= sizeof(double)) \ 168 (lval) = (rval); \ 169 else { \ 170 __lval = (rval); \ 171 (lval) = __lval; \ 172 } \ 173 } while (0) 174 #endif 175 #endif 176 177 /* 178 * Common routine to process the arguments to nan(), nanf(), and nanl(). 179 */ 180 void _scan_nan(uint32_t *__words, int __num_words, const char *__s); 181 182 #ifdef _COMPLEX_H 183 /* 184 * Inline functions that can be used to construct complex values. 185 * 186 * The C99 standard intends x+I*y to be used for this, but x+I*y is 187 * currently unusable in general since gcc introduces many overflow, 188 * underflow, sign and efficiency bugs by rewriting I*y as 189 * (0.0+I)*(y+0.0*I) and laboriously computing the full complex product. 190 * In particular, I*Inf is corrupted to NaN+I*Inf, and I*-0 is corrupted 191 * to -0.0+I*0.0. 192 */ 193 static __inline float complex 194 cpackf(float x, float y) 195 { 196 float complex z; 197 198 __real__ z = x; 199 __imag__ z = y; 200 return (z); 201 } 202 203 static __inline double complex 204 cpack(double x, double y) 205 { 206 double complex z; 207 208 __real__ z = x; 209 __imag__ z = y; 210 return (z); 211 } 212 213 static __inline long double complex 214 cpackl(long double x, long double y) 215 { 216 long double complex z; 217 218 __real__ z = x; 219 __imag__ z = y; 220 return (z); 221 } 222 #endif /* _COMPLEX_H */ 223 224 #ifdef __GNUCLIKE_ASM 225 226 /* Asm versions of some functions. */ 227 228 #ifdef __amd64__ 229 static __inline int 230 irint(double x) 231 { 232 int n; 233 234 asm("cvtsd2si %1,%0" : "=r" (n) : "Y" (x)); 235 return (n); 236 } 237 #define HAVE_EFFICIENT_IRINT 238 #endif 239 240 #ifdef __i386__ 241 static __inline int 242 irint(double x) 243 { 244 int n; 245 246 asm("fistl %0" : "=m" (n) : "t" (x)); 247 return (n); 248 } 249 #define HAVE_EFFICIENT_IRINT 250 #endif 251 252 #endif /* __GNUCLIKE_ASM */ 253 254 /* 255 * ieee style elementary functions 256 * 257 * We rename functions here to improve other sources' diffability 258 * against fdlibm. 259 */ 260 #define __ieee754_sqrt sqrt 261 #define __ieee754_acos acos 262 #define __ieee754_acosh acosh 263 #define __ieee754_log log 264 #define __ieee754_atanh atanh 265 #define __ieee754_asin asin 266 #define __ieee754_atan2 atan2 267 #define __ieee754_exp exp 268 #define __ieee754_cosh cosh 269 #define __ieee754_fmod fmod 270 #define __ieee754_pow pow 271 #define __ieee754_lgamma lgamma 272 #define __ieee754_gamma gamma 273 #define __ieee754_lgamma_r lgamma_r 274 #define __ieee754_gamma_r gamma_r 275 #define __ieee754_log10 log10 276 #define __ieee754_sinh sinh 277 #define __ieee754_hypot hypot 278 #define __ieee754_j0 j0 279 #define __ieee754_j1 j1 280 #define __ieee754_y0 y0 281 #define __ieee754_y1 y1 282 #define __ieee754_jn jn 283 #define __ieee754_yn yn 284 #define __ieee754_remainder remainder 285 #define __ieee754_scalb scalb 286 #define __ieee754_sqrtf sqrtf 287 #define __ieee754_acosf acosf 288 #define __ieee754_acoshf acoshf 289 #define __ieee754_logf logf 290 #define __ieee754_atanhf atanhf 291 #define __ieee754_asinf asinf 292 #define __ieee754_atan2f atan2f 293 #define __ieee754_expf expf 294 #define __ieee754_coshf coshf 295 #define __ieee754_fmodf fmodf 296 #define __ieee754_powf powf 297 #define __ieee754_lgammaf lgammaf 298 #define __ieee754_gammaf gammaf 299 #define __ieee754_lgammaf_r lgammaf_r 300 #define __ieee754_gammaf_r gammaf_r 301 #define __ieee754_log10f log10f 302 #define __ieee754_sinhf sinhf 303 #define __ieee754_hypotf hypotf 304 #define __ieee754_j0f j0f 305 #define __ieee754_j1f j1f 306 #define __ieee754_y0f y0f 307 #define __ieee754_y1f y1f 308 #define __ieee754_jnf jnf 309 #define __ieee754_ynf ynf 310 #define __ieee754_remainderf remainderf 311 #define __ieee754_scalbf scalbf 312 313 /* fdlibm kernel function */ 314 int __kernel_rem_pio2(double*,double*,int,int,int); 315 316 /* double precision kernel functions */ 317 int __ieee754_rem_pio2(double,double*); 318 double __kernel_sin(double,double,int); 319 double __kernel_cos(double,double); 320 double __kernel_tan(double,double,int); 321 322 /* float precision kernel functions */ 323 int __ieee754_rem_pio2f(float,double*); 324 float __kernel_sindf(double); 325 float __kernel_cosdf(double); 326 float __kernel_tandf(double,int); 327 328 /* long double precision kernel functions */ 329 long double __kernel_sinl(long double, long double, int); 330 long double __kernel_cosl(long double, long double); 331 long double __kernel_tanl(long double, long double, int); 332 333 #endif /* !_MATH_PRIVATE_H_ */ 334