mathP.h
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 * $Id: mathP.h,v 1.6 2013/10/22 14:54:15 ando Exp $ 15 */ 16 17 #ifndef _MATH_PRIVATE_H_ 18 #define _MATH_PRIVATE_H_ 19 20 #include <endian.h> 21 #include <sys/types.h> 22 23 /* The original fdlibm code used statements like: 24 n0 = ((*(int*)&one)>>29)^1; * index of high word * 25 ix0 = *(n0+(int*)&x); * high word of x * 26 ix1 = *((1-n0)+(int*)&x); * low word of x * 27 to dig two 32 bit words out of the 64 bit IEEE floating point 28 value. That is non-ANSI, and, moreover, the gcc instruction 29 scheduler gets it wrong. We instead use the following macros. 30 Unlike the original code, we determine the endianness at compile 31 time, not at run time; I don't see much benefit to selecting 32 endianness at run time. */ 33 34 /* A union which permits us to convert between a double and two 32 bit 35 ints. */ 36 37 /* 38 * Math on arm is little endian except for the FP word order which is 39 * big endian. 40 */ 41 42 #if (__BYTE_ORDER == __BIG_ENDIAN) || defined(__arm__) 43 44 typedef union 45 { 46 double value; 47 struct 48 { 49 u_int32_t msw; 50 u_int32_t lsw; 51 } parts; 52 } ieee_double_shape_type; 53 54 #endif 55 56 #if (__BYTE_ORDER == __LITTLE_ENDIAN) && !defined(__arm__) 57 58 typedef union 59 { 60 double value; 61 struct 62 { 63 u_int32_t lsw; 64 u_int32_t msw; 65 } parts; 66 } ieee_double_shape_type; 67 68 #endif 69 70 /* Get two 32 bit ints from a double. */ 71 72 #define EXTRACT_WORDS(ix0,ix1,d) \ 73 do { \ 74 ieee_double_shape_type ew_u; \ 75 ew_u.value = (d); \ 76 (ix0) = ew_u.parts.msw; \ 77 (ix1) = ew_u.parts.lsw; \ 78 } while (0) 79 80 /* Get the more significant 32 bit int from a double. */ 81 82 #define GET_HIGH_WORD(i,d) \ 83 do { \ 84 ieee_double_shape_type gh_u; \ 85 gh_u.value = (d); \ 86 (i) = gh_u.parts.msw; \ 87 } while (0) 88 89 /* Get the less significant 32 bit int from a double. */ 90 91 #define GET_LOW_WORD(i,d) \ 92 do { \ 93 ieee_double_shape_type gl_u; \ 94 gl_u.value = (d); \ 95 (i) = gl_u.parts.lsw; \ 96 } while (0) 97 98 /* Set a double from two 32 bit ints. */ 99 100 #define INSERT_WORDS(d,ix0,ix1) \ 101 do { \ 102 ieee_double_shape_type iw_u; \ 103 iw_u.parts.msw = (ix0); \ 104 iw_u.parts.lsw = (ix1); \ 105 (d) = iw_u.value; \ 106 } while (0) 107 108 /* Set the more significant 32 bits of a double from an int. */ 109 110 #define SET_HIGH_WORD(d,v) \ 111 do { \ 112 ieee_double_shape_type sh_u; \ 113 sh_u.value = (d); \ 114 sh_u.parts.msw = (v); \ 115 (d) = sh_u.value; \ 116 } while (0) 117 118 /* Set the less significant 32 bits of a double from an int. */ 119 120 #define SET_LOW_WORD(d,v) \ 121 do { \ 122 ieee_double_shape_type sl_u; \ 123 sl_u.value = (d); \ 124 sl_u.parts.lsw = (v); \ 125 (d) = sl_u.value; \ 126 } while (0) 127 128 /* A union which permits us to convert between a float and a 32 bit 129 int. */ 130 131 typedef union 132 { 133 float value; 134 u_int32_t word; 135 } ieee_float_shape_type; 136 137 /* Get a 32 bit int from a float. */ 138 139 #define GET_FLOAT_WORD(i,d) \ 140 do { \ 141 ieee_float_shape_type gf_u; \ 142 gf_u.value = (d); \ 143 (i) = gf_u.word; \ 144 } while (0) 145 146 /* Set a float from a 32 bit int. */ 147 148 #define SET_FLOAT_WORD(d,i) \ 149 do { \ 150 ieee_float_shape_type sf_u; \ 151 sf_u.word = (i); \ 152 (d) = sf_u.value; \ 153 } while (0) 154 155 /* ieee style elementary functions */ 156 extern double __ieee754_sqrt __P((double)); 157 extern double __ieee754_acos __P((double)); 158 extern double __ieee754_acosh __P((double)); 159 extern double __ieee754_log __P((double)); 160 extern double __ieee754_atanh __P((double)); 161 extern double __ieee754_asin __P((double)); 162 extern double __ieee754_atan2 __P((double,double)); 163 extern double __ieee754_exp __P((double)); 164 extern double __ieee754_cosh __P((double)); 165 extern double __ieee754_fmod __P((double,double)); 166 extern double __ieee754_pow __P((double,double)); 167 extern double __ieee754_lgamma_r __P((double,int *)); 168 extern double __ieee754_gamma_r __P((double,int *)); 169 extern double __ieee754_lgamma __P((double)); 170 extern double __ieee754_gamma __P((double)); 171 extern double __ieee754_log10 __P((double)); 172 extern double __ieee754_sinh __P((double)); 173 extern double __ieee754_hypot __P((double,double)); 174 extern double __ieee754_j0 __P((double)); 175 extern double __ieee754_j1 __P((double)); 176 extern double __ieee754_y0 __P((double)); 177 extern double __ieee754_y1 __P((double)); 178 extern double __ieee754_jn __P((int,double)); 179 extern double __ieee754_yn __P((int,double)); 180 extern double __ieee754_remainder __P((double,double)); 181 extern int __ieee754_rem_pio2 __P((double,double*)); 182 #if defined(_SCALB_INT) 183 extern double __ieee754_scalb __P((double,int)); 184 #else 185 extern double __ieee754_scalb __P((double,double)); 186 #endif 187 188 /* fdlibm kernel function */ 189 extern double __kernel_standard __P((double,double,int)); 190 extern double __kernel_sin __P((double,double,int)); 191 extern double __kernel_cos __P((double,double)); 192 extern double __kernel_tan __P((double,double,int)); 193 extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)); 194 195 196 /* ieee style elementary float functions */ 197 extern float __ieee754_sqrtf __P((float)); 198 extern float __ieee754_acosf __P((float)); 199 extern float __ieee754_acoshf __P((float)); 200 extern float __ieee754_logf __P((float)); 201 extern float __ieee754_atanhf __P((float)); 202 extern float __ieee754_asinf __P((float)); 203 extern float __ieee754_atan2f __P((float,float)); 204 extern float __ieee754_expf __P((float)); 205 extern float __ieee754_coshf __P((float)); 206 extern float __ieee754_fmodf __P((float,float)); 207 extern float __ieee754_powf __P((float,float)); 208 extern float __ieee754_lgammaf_r __P((float,int *)); 209 extern float __ieee754_gammaf_r __P((float,int *)); 210 extern float __ieee754_lgammaf __P((float)); 211 extern float __ieee754_gammaf __P((float)); 212 extern float __ieee754_log10f __P((float)); 213 extern float __ieee754_sinhf __P((float)); 214 extern float __ieee754_hypotf __P((float,float)); 215 extern float __ieee754_j0f __P((float)); 216 extern float __ieee754_j1f __P((float)); 217 extern float __ieee754_y0f __P((float)); 218 extern float __ieee754_y1f __P((float)); 219 extern float __ieee754_jnf __P((int,float)); 220 extern float __ieee754_ynf __P((int,float)); 221 extern float __ieee754_remainderf __P((float,float)); 222 extern int __ieee754_rem_pio2f __P((float,float*)); 223 extern float __ieee754_scalbf __P((float,float)); 224 225 /* float versions of fdlibm kernel functions */ 226 extern float __kernel_sinf __P((float,float,int)); 227 extern float __kernel_cosf __P((float,float)); 228 extern float __kernel_tanf __P((float,float,int)); 229 extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*)); 230 231 #endif /* _MATH_PRIVATE_H_ */