1 /* $OpenBSD: math_private.h,v 1.5 2000/03/02 00:29:50 todd Exp $ */ 2 /* 3 * ==================================================== 4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 5 * 6 * Developed at SunPro, a Sun Microsystems, Inc. business. 7 * Permission to use, copy, modify, and distribute this 8 * software is freely granted, provided that this notice 9 * is preserved. 10 * ==================================================== 11 */ 12 13 /* 14 * from: @(#)fdlibm.h 5.1 93/09/24 15 */ 16 17 #ifndef _MATH_PRIVATE_H_ 18 #define _MATH_PRIVATE_H_ 19 20 #include <sys/types.h> 21 22 /* The original fdlibm code used statements like: 23 n0 = ((*(int*)&one)>>29)^1; * index of high word * 24 ix0 = *(n0+(int*)&x); * high word of x * 25 ix1 = *((1-n0)+(int*)&x); * low word of x * 26 to dig two 32 bit words out of the 64 bit IEEE floating point 27 value. That is non-ANSI, and, moreover, the gcc instruction 28 scheduler gets it wrong. We instead use the following macros. 29 Unlike the original code, we determine the endianness at compile 30 time, not at run time; I don't see much benefit to selecting 31 endianness at run time. */ 32 33 /* A union which permits us to convert between a double and two 32 bit 34 ints. */ 35 36 /* 37 * The arm32 port is little endian except for the FP word order which is 38 * big endian. 39 */ 40 41 #if (BYTE_ORDER == BIG_ENDIAN) || defined(arm32) 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(arm32) 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 /* A union which permits us to convert between a float and a 32 bit 128 int. */ 129 130 typedef union 131 { 132 float value; 133 u_int32_t word; 134 } ieee_float_shape_type; 135 136 /* Get a 32 bit int from a float. */ 137 138 #define GET_FLOAT_WORD(i,d) \ 139 do { \ 140 ieee_float_shape_type gf_u; \ 141 gf_u.value = (d); \ 142 (i) = gf_u.word; \ 143 } while (0) 144 145 /* Set a float from a 32 bit int. */ 146 147 #define SET_FLOAT_WORD(d,i) \ 148 do { \ 149 ieee_float_shape_type sf_u; \ 150 sf_u.word = (i); \ 151 (d) = sf_u.value; \ 152 } while (0) 153 154 /* ieee style elementary functions */ 155 extern double __ieee754_sqrt __P((double)); 156 extern double __ieee754_acos __P((double)); 157 extern double __ieee754_acosh __P((double)); 158 extern double __ieee754_log __P((double)); 159 extern double __ieee754_atanh __P((double)); 160 extern double __ieee754_asin __P((double)); 161 extern double __ieee754_atan2 __P((double,double)); 162 extern double __ieee754_exp __P((double)); 163 extern double __ieee754_cosh __P((double)); 164 extern double __ieee754_fmod __P((double,double)); 165 extern double __ieee754_pow __P((double,double)); 166 extern double __ieee754_lgamma_r __P((double,int *)); 167 extern double __ieee754_gamma_r __P((double,int *)); 168 extern double __ieee754_lgamma __P((double)); 169 extern double __ieee754_gamma __P((double)); 170 extern double __ieee754_log10 __P((double)); 171 extern double __ieee754_sinh __P((double)); 172 extern double __ieee754_hypot __P((double,double)); 173 extern double __ieee754_j0 __P((double)); 174 extern double __ieee754_j1 __P((double)); 175 extern double __ieee754_y0 __P((double)); 176 extern double __ieee754_y1 __P((double)); 177 extern double __ieee754_jn __P((int,double)); 178 extern double __ieee754_yn __P((int,double)); 179 extern double __ieee754_remainder __P((double,double)); 180 extern int __ieee754_rem_pio2 __P((double,double*)); 181 extern double __ieee754_scalb __P((double,double)); 182 183 /* fdlibm kernel function */ 184 extern double __kernel_standard __P((double,double,int)); 185 extern double __kernel_sin __P((double,double,int)); 186 extern double __kernel_cos __P((double,double)); 187 extern double __kernel_tan __P((double,double,int)); 188 extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)); 189 190 191 /* ieee style elementary float functions */ 192 extern float __ieee754_sqrtf __P((float)); 193 extern float __ieee754_acosf __P((float)); 194 extern float __ieee754_acoshf __P((float)); 195 extern float __ieee754_logf __P((float)); 196 extern float __ieee754_atanhf __P((float)); 197 extern float __ieee754_asinf __P((float)); 198 extern float __ieee754_atan2f __P((float,float)); 199 extern float __ieee754_expf __P((float)); 200 extern float __ieee754_coshf __P((float)); 201 extern float __ieee754_fmodf __P((float,float)); 202 extern float __ieee754_powf __P((float,float)); 203 extern float __ieee754_lgammaf_r __P((float,int *)); 204 extern float __ieee754_gammaf_r __P((float,int *)); 205 extern float __ieee754_lgammaf __P((float)); 206 extern float __ieee754_gammaf __P((float)); 207 extern float __ieee754_log10f __P((float)); 208 extern float __ieee754_sinhf __P((float)); 209 extern float __ieee754_hypotf __P((float,float)); 210 extern float __ieee754_j0f __P((float)); 211 extern float __ieee754_j1f __P((float)); 212 extern float __ieee754_y0f __P((float)); 213 extern float __ieee754_y1f __P((float)); 214 extern float __ieee754_jnf __P((int,float)); 215 extern float __ieee754_ynf __P((int,float)); 216 extern float __ieee754_remainderf __P((float,float)); 217 extern int __ieee754_rem_pio2f __P((float,float*)); 218 extern float __ieee754_scalbf __P((float,float)); 219 220 /* float versions of fdlibm kernel functions */ 221 extern float __kernel_sinf __P((float,float,int)); 222 extern float __kernel_cosf __P((float,float)); 223 extern float __kernel_tanf __P((float,float,int)); 224 extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*)); 225 226 #endif /* _MATH_PRIVATE_H_ */ 227