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 /* ieee style elementary functions */ 158 double __ieee754_sqrt(double); 159 double __ieee754_acos(double); 160 double __ieee754_acosh(double); 161 double __ieee754_log(double); 162 double __ieee754_atanh(double); 163 double __ieee754_asin(double); 164 double __ieee754_atan2(double,double); 165 double __ieee754_exp(double); 166 double __ieee754_cosh(double); 167 double __ieee754_fmod(double,double); 168 double __ieee754_pow(double,double); 169 double __ieee754_lgamma_r(double,int *); 170 double __ieee754_gamma_r(double,int *); 171 double __ieee754_lgamma(double); 172 double __ieee754_gamma(double); 173 double __ieee754_log10(double); 174 double __ieee754_sinh(double); 175 double __ieee754_hypot(double,double); 176 double __ieee754_j0(double); 177 double __ieee754_j1(double); 178 double __ieee754_y0(double); 179 double __ieee754_y1(double); 180 double __ieee754_jn(int,double); 181 double __ieee754_yn(int,double); 182 double __ieee754_remainder(double,double); 183 int __ieee754_rem_pio2(double,double*); 184 double __ieee754_scalb(double,double); 185 186 /* fdlibm kernel function */ 187 double __kernel_standard(double,double,int); 188 double __kernel_sin(double,double,int); 189 double __kernel_cos(double,double); 190 double __kernel_tan(double,double,int); 191 int __kernel_rem_pio2(double*,double*,int,int,int,const int*); 192 193 /* ieee style elementary float functions */ 194 float __ieee754_sqrtf(float); 195 float __ieee754_acosf(float); 196 float __ieee754_acoshf(float); 197 float __ieee754_logf(float); 198 float __ieee754_atanhf(float); 199 float __ieee754_asinf(float); 200 float __ieee754_atan2f(float,float); 201 float __ieee754_expf(float); 202 float __ieee754_coshf(float); 203 float __ieee754_fmodf(float,float); 204 float __ieee754_powf(float,float); 205 float __ieee754_lgammaf_r(float,int *); 206 float __ieee754_gammaf_r(float,int *); 207 float __ieee754_lgammaf(float); 208 float __ieee754_gammaf(float); 209 float __ieee754_log10f(float); 210 float __ieee754_sinhf(float); 211 float __ieee754_hypotf(float,float); 212 float __ieee754_j0f(float); 213 float __ieee754_j1f(float); 214 float __ieee754_y0f(float); 215 float __ieee754_y1f(float); 216 float __ieee754_jnf(int,float); 217 float __ieee754_ynf(int,float); 218 float __ieee754_remainderf(float,float); 219 int __ieee754_rem_pio2f(float,float*); 220 float __ieee754_scalbf(float,float); 221 222 /* float versions of fdlibm kernel functions */ 223 float __kernel_sinf(float,float,int); 224 float __kernel_cosf(float,float); 225 float __kernel_tanf(float,float,int); 226 int __kernel_rem_pio2f(float*,float*,int,int,int,const int*); 227 228 #endif /* !_MATH_PRIVATE_H_ */ 229