lib/libm/src/math_private.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  * $NetBSD: math_private.h,v 1.12 2005/07/21 12:55:58 christos Exp $
  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 ARM ports are little endian except for the FPA word order which is
  38  * big endian.
  39  */
  40
  41 #if (BYTE_ORDER == BIG_ENDIAN) || (defined(__arm__) && !defined(__VFP_FP__))
  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     !(defined(__arm__) && !defined(__VFP_FP__))
  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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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_log2 __P((double));
 173 extern double __ieee754_sinh __P((double));
 174 extern double __ieee754_hypot __P((double,double));
 175 extern double __ieee754_j0 __P((double));
 176 extern double __ieee754_j1 __P((double));
 177 extern double __ieee754_y0 __P((double));
 178 extern double __ieee754_y1 __P((double));
 179 extern double __ieee754_jn __P((int,double));
 180 extern double __ieee754_yn __P((int,double));
 181 extern double __ieee754_remainder __P((double,double));
 182 extern int    __ieee754_rem_pio2 __P((double,double*));
 183 extern double __ieee754_scalb __P((double,double));
 184
 185 /* fdlibm kernel function */
 186 extern double __kernel_standard __P((double,double,int));
 187 extern double __kernel_sin __P((double,double,int));
 188 extern double __kernel_cos __P((double,double));
 189 extern double __kernel_tan __P((double,double,int));
 190 extern int    __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
 191
 192
 193 /* ieee style elementary float functions */
 194 extern float __ieee754_sqrtf __P((float));
 195 extern float __ieee754_acosf __P((float));
 196 extern float __ieee754_acoshf __P((float));
 197 extern float __ieee754_logf __P((float));
 198 extern float __ieee754_atanhf __P((float));
 199 extern float __ieee754_asinf __P((float));
 200 extern float __ieee754_atan2f __P((float,float));
 201 extern float __ieee754_expf __P((float));
 202 extern float __ieee754_coshf __P((float));
 203 extern float __ieee754_fmodf __P((float,float));
 204 extern float __ieee754_powf __P((float,float));
 205 extern float __ieee754_lgammaf_r __P((float,int *));
 206 extern float __ieee754_gammaf_r __P((float,int *));
 207 extern float __ieee754_lgammaf __P((float));
 208 extern float __ieee754_gammaf __P((float));
 209 extern float __ieee754_log10f __P((float));
 210 extern float __ieee754_log2f __P((float));
 211 extern float __ieee754_sinhf __P((float));
 212 extern float __ieee754_hypotf __P((float,float));
 213 extern float __ieee754_j0f __P((float));
 214 extern float __ieee754_j1f __P((float));
 215 extern float __ieee754_y0f __P((float));
 216 extern float __ieee754_y1f __P((float));
 217 extern float __ieee754_jnf __P((int,float));
 218 extern float __ieee754_ynf __P((int,float));
 219 extern float __ieee754_remainderf __P((float,float));
 220 extern int   __ieee754_rem_pio2f __P((float,float*));
 221 extern float __ieee754_scalbf __P((float,float));
 222
 223 /* float versions of fdlibm kernel functions */
 224 extern float __kernel_sinf __P((float,float,int));
 225 extern float __kernel_cosf __P((float,float));
 226 extern float __kernel_tanf __P((float,float,int));
 227 extern int   __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
 228
 229 #endif /* _MATH_PRIVATE_H_ */