1 /** $MirOS: src/lib/libm/src/math_private.h,v 1.5 2014/02/09 23:20:00 tg Exp $ */ 2 /* $OpenBSD: math_private.h,v 1.6 2002/02/16 21:27:27 millert Exp $ */ 3 /* 4 * ==================================================== 5 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 6 * 7 * Developed at SunPro, a Sun Microsystems, Inc. business. 8 * Permission to use, copy, modify, and distribute this 9 * software is freely granted, provided that this notice 10 * is preserved. 11 * ==================================================== 12 */ 13 14 /* 15 * from: @(#)fdlibm.h 5.1 93/09/24 16 * $NetBSD: math_private.h,v 1.16 2010/09/16 20:39:50 drochner Exp $ 17 */ 18 19 #ifndef _MATH_PRIVATE_H_ 20 #define _MATH_PRIVATE_H_ "$MirOS: src/lib/libm/src/math_private.h,v 1.5 2014/02/09 23:20:00 tg Exp $" 21 22 #include <sys/types.h> 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 /* A union which permits us to convert between a double and two 32 bit 36 ints. */ 37 38 /* 39 * The arm32 port is little endian except for the FP word order which is 40 * big endian. 41 */ 42 43 #if (BYTE_ORDER == BIG_ENDIAN) || defined(arm32) 44 45 typedef union 46 { 47 double value; 48 struct 49 { 50 u_int32_t msw; 51 u_int32_t lsw; 52 } parts; 53 } ieee_double_shape_type; 54 55 #endif 56 57 #if (BYTE_ORDER == LITTLE_ENDIAN) && !defined(arm32) 58 59 typedef union 60 { 61 double value; 62 struct 63 { 64 u_int32_t lsw; 65 u_int32_t msw; 66 } parts; 67 } ieee_double_shape_type; 68 69 #endif 70 71 /* Get two 32 bit ints from a double. */ 72 73 #define EXTRACT_WORDS(ix0,ix1,d) \ 74 do { \ 75 ieee_double_shape_type ew_u; \ 76 ew_u.value = (d); \ 77 (ix0) = ew_u.parts.msw; \ 78 (ix1) = ew_u.parts.lsw; \ 79 } while (/*CONSTCOND*/0) 80 81 /* Get the more significant 32 bit int from a double. */ 82 83 #define GET_HIGH_WORD(i,d) \ 84 do { \ 85 ieee_double_shape_type gh_u; \ 86 gh_u.value = (d); \ 87 (i) = gh_u.parts.msw; \ 88 } while (/*CONSTCOND*/0) 89 90 /* Get the less significant 32 bit int from a double. */ 91 92 #define GET_LOW_WORD(i,d) \ 93 do { \ 94 ieee_double_shape_type gl_u; \ 95 gl_u.value = (d); \ 96 (i) = gl_u.parts.lsw; \ 97 } while (/*CONSTCOND*/0) 98 99 /* Set a double from two 32 bit ints. */ 100 101 #define INSERT_WORDS(d,ix0,ix1) \ 102 do { \ 103 ieee_double_shape_type iw_u; \ 104 iw_u.parts.msw = (ix0); \ 105 iw_u.parts.lsw = (ix1); \ 106 (d) = iw_u.value; \ 107 } while (/*CONSTCOND*/0) 108 109 /* Set the more significant 32 bits of a double from an int. */ 110 111 #define SET_HIGH_WORD(d,v) \ 112 do { \ 113 ieee_double_shape_type sh_u; \ 114 sh_u.value = (d); \ 115 sh_u.parts.msw = (v); \ 116 (d) = sh_u.value; \ 117 } while (/*CONSTCOND*/0) 118 119 /* Set the less significant 32 bits of a double from an int. */ 120 121 #define SET_LOW_WORD(d,v) \ 122 do { \ 123 ieee_double_shape_type sl_u; \ 124 sl_u.value = (d); \ 125 sl_u.parts.lsw = (v); \ 126 (d) = sl_u.value; \ 127 } while (/*CONSTCOND*/0) 128 129 /* A union which permits us to convert between a float and a 32 bit 130 int. */ 131 132 typedef union 133 { 134 float value; 135 u_int32_t word; 136 } ieee_float_shape_type; 137 138 /* Get a 32 bit int from a float. */ 139 140 #define GET_FLOAT_WORD(i,d) \ 141 do { \ 142 ieee_float_shape_type gf_u; \ 143 gf_u.value = (d); \ 144 (i) = gf_u.word; \ 145 } while (/*CONSTCOND*/0) 146 147 /* Set a float from a 32 bit int. */ 148 149 #define SET_FLOAT_WORD(d,i) \ 150 do { \ 151 ieee_float_shape_type sf_u; \ 152 sf_u.word = (i); \ 153 (d) = sf_u.value; \ 154 } while (/*CONSTCOND*/0) 155 156 /* 157 * Attempt to get strict C99 semantics for assignment with non-C99 compilers. 158 */ 159 #if FLT_EVAL_METHOD == 0 || __GNUC__ == 0 160 #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) 161 #else 162 #define STRICT_ASSIGN(type, lval, rval) do { \ 163 volatile type __lval; \ 164 \ 165 if (sizeof(type) >= sizeof(double)) \ 166 (lval) = (rval); \ 167 else { \ 168 __lval = (rval); \ 169 (lval) = __lval; \ 170 } \ 171 } while (/*CONSTCOND*/0) 172 #endif 173 174 #ifdef _COMPLEX_H 175 176 /* 177 * Quoting from ISO/IEC 9899:TC2: 178 * 179 * 6.2.5.13 Types 180 * Each complex type has the same representation and alignment requirements as 181 * an array type containing exactly two elements of the corresponding real type; 182 * the first element is equal to the real part, and the second element to the 183 * imaginary part, of the complex number. 184 */ 185 typedef union { 186 float complex z; 187 float parts[2]; 188 } float_complex; 189 190 typedef union { 191 double complex z; 192 double parts[2]; 193 } double_complex; 194 195 #define REAL_PART(z) ((z).parts[0]) 196 #define IMAG_PART(z) ((z).parts[1]) 197 198 #endif /* _COMPLEX_H */ 199 200 /* ieee style elementary functions */ 201 extern double __ieee754_sqrt(double); 202 extern double __ieee754_acos(double); 203 extern double __ieee754_acosh(double); 204 extern double __ieee754_log(double); 205 extern double __ieee754_atanh(double); 206 extern double __ieee754_asin(double); 207 extern double __ieee754_atan2(double,double); 208 extern double __ieee754_exp(double); 209 extern double __ieee754_cosh(double); 210 extern double __ieee754_fmod(double,double); 211 extern double __ieee754_pow(double,double); 212 extern double __ieee754_lgamma_r(double,int *); 213 extern double __ieee754_gamma_r(double,int *); 214 extern double __ieee754_lgamma(double); 215 extern double __ieee754_gamma(double); 216 extern double __ieee754_log10(double); 217 extern double __ieee754_log2(double); 218 extern double __ieee754_sinh(double); 219 extern double __ieee754_hypot(double,double); 220 extern double __ieee754_j0(double); 221 extern double __ieee754_j1(double); 222 extern double __ieee754_y0(double); 223 extern double __ieee754_y1(double); 224 extern double __ieee754_jn(int,double); 225 extern double __ieee754_yn(int,double); 226 extern double __ieee754_remainder(double,double); 227 extern int __ieee754_rem_pio2(double,double*); 228 extern double __ieee754_scalb(double,double); 229 230 /* fdlibm kernel function */ 231 extern double __kernel_standard(double,double,int); 232 extern double __kernel_sin(double,double,int); 233 extern double __kernel_cos(double,double); 234 extern double __kernel_tan(double,double,int); 235 extern int __kernel_rem_pio2(double*,double*,int,int,int,const int*); 236 237 238 /* ieee style elementary float functions */ 239 extern float __ieee754_sqrtf(float); 240 extern float __ieee754_acosf(float); 241 extern float __ieee754_acoshf(float); 242 extern float __ieee754_logf(float); 243 extern float __ieee754_atanhf(float); 244 extern float __ieee754_asinf(float); 245 extern float __ieee754_atan2f(float,float); 246 extern float __ieee754_expf(float); 247 extern float __ieee754_coshf(float); 248 extern float __ieee754_fmodf(float,float); 249 extern float __ieee754_powf(float,float); 250 extern float __ieee754_lgammaf_r(float,int *); 251 extern float __ieee754_gammaf_r(float,int *); 252 extern float __ieee754_lgammaf(float); 253 extern float __ieee754_gammaf(float); 254 extern float __ieee754_log10f(float); 255 extern float __ieee754_log2f(float); 256 extern float __ieee754_sinhf(float); 257 extern float __ieee754_hypotf(float,float); 258 extern float __ieee754_j0f(float); 259 extern float __ieee754_j1f(float); 260 extern float __ieee754_y0f(float); 261 extern float __ieee754_y1f(float); 262 extern float __ieee754_jnf(int,float); 263 extern float __ieee754_ynf(int,float); 264 extern float __ieee754_remainderf(float,float); 265 extern int __ieee754_rem_pio2f(float,float*); 266 extern float __ieee754_scalbf(float,float); 267 268 /* float versions of fdlibm kernel functions */ 269 extern float __kernel_sinf(float,float,int); 270 extern float __kernel_cosf(float,float); 271 extern float __kernel_tanf(float,float,int); 272 extern int __kernel_rem_pio2f(float*,float*,int,int,int,const int*); 273 274 #endif /* _MATH_PRIVATE_H_ */ 275