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 1.16 2010/09/16 20:39:50 drochner 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 /*
 156  * Attempt to get strict C99 semantics for assignment with non-C99 compilers.
 157  */
 158 #if FLT_EVAL_METHOD == 0 || __GNUC__ == 0
 159 #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval))
 160 #else
 161 #define STRICT_ASSIGN(type, lval, rval) do {    \
 162         volatile type __lval;                   \
 163                                                 \
 164         if (sizeof(type) >= sizeof(double))     \
 165                 (lval) = (rval);                \
 166         else {                                  \
 167                 __lval = (rval);                \
 168                 (lval) = __lval;                \
 169         }                                       \
 170 } while (/*CONSTCOND*/0)
 171 #endif
 172
 173 #ifdef  _COMPLEX_H
 174
 175 /*
 176  * Quoting from ISO/IEC 9899:TC2:
 177  *
 178  * 6.2.5.13 Types
 179  * Each complex type has the same representation and alignment requirements as
 180  * an array type containing exactly two elements of the corresponding real type;
 181  * the first element is equal to the real part, and the second element to the
 182  * imaginary part, of the complex number.
 183  */
 184 typedef union {
 185         float complex z;
 186         float parts[2];
 187 } float_complex;
 188
 189 typedef union {
 190         double complex z;
 191         double parts[2];
 192 } double_complex;
 193
 194 typedef union {
 195         long double complex z;
 196         long double parts[2];
 197 } long_double_complex;
 198
 199 #define REAL_PART(z)    ((z).parts[0])
 200 #define IMAG_PART(z)    ((z).parts[1])
 201
 202 #endif  /* _COMPLEX_H */
 203
 204 /* ieee style elementary functions */
 205 extern double __ieee754_sqrt __P((double));
 206 extern double __ieee754_acos __P((double));
 207 extern double __ieee754_acosh __P((double));
 208 extern double __ieee754_log __P((double));
 209 extern double __ieee754_atanh __P((double));
 210 extern double __ieee754_asin __P((double));
 211 extern double __ieee754_atan2 __P((double,double));
 212 extern double __ieee754_exp __P((double));
 213 extern double __ieee754_cosh __P((double));
 214 extern double __ieee754_fmod __P((double,double));
 215 extern double __ieee754_pow __P((double,double));
 216 extern double __ieee754_lgamma_r __P((double,int *));
 217 extern double __ieee754_gamma_r __P((double,int *));
 218 extern double __ieee754_lgamma __P((double));
 219 extern double __ieee754_gamma __P((double));
 220 extern double __ieee754_log10 __P((double));
 221 extern double __ieee754_log2 __P((double));
 222 extern double __ieee754_sinh __P((double));
 223 extern double __ieee754_hypot __P((double,double));
 224 extern double __ieee754_j0 __P((double));
 225 extern double __ieee754_j1 __P((double));
 226 extern double __ieee754_y0 __P((double));
 227 extern double __ieee754_y1 __P((double));
 228 extern double __ieee754_jn __P((int,double));
 229 extern double __ieee754_yn __P((int,double));
 230 extern double __ieee754_remainder __P((double,double));
 231 extern int    __ieee754_rem_pio2 __P((double,double*));
 232 extern double __ieee754_scalb __P((double,double));
 233
 234 /* fdlibm kernel function */
 235 extern double __kernel_standard __P((double,double,int));
 236 extern double __kernel_sin __P((double,double,int));
 237 extern double __kernel_cos __P((double,double));
 238 extern double __kernel_tan __P((double,double,int));
 239 extern int    __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
 240
 241
 242 /* ieee style elementary float functions */
 243 extern float __ieee754_sqrtf __P((float));
 244 extern float __ieee754_acosf __P((float));
 245 extern float __ieee754_acoshf __P((float));
 246 extern float __ieee754_logf __P((float));
 247 extern float __ieee754_atanhf __P((float));
 248 extern float __ieee754_asinf __P((float));
 249 extern float __ieee754_atan2f __P((float,float));
 250 extern float __ieee754_expf __P((float));
 251 extern float __ieee754_coshf __P((float));
 252 extern float __ieee754_fmodf __P((float,float));
 253 extern float __ieee754_powf __P((float,float));
 254 extern float __ieee754_lgammaf_r __P((float,int *));
 255 extern float __ieee754_gammaf_r __P((float,int *));
 256 extern float __ieee754_lgammaf __P((float));
 257 extern float __ieee754_gammaf __P((float));
 258 extern float __ieee754_log10f __P((float));
 259 extern float __ieee754_log2f __P((float));
 260 extern float __ieee754_sinhf __P((float));
 261 extern float __ieee754_hypotf __P((float,float));
 262 extern float __ieee754_j0f __P((float));
 263 extern float __ieee754_j1f __P((float));
 264 extern float __ieee754_y0f __P((float));
 265 extern float __ieee754_y1f __P((float));
 266 extern float __ieee754_jnf __P((int,float));
 267 extern float __ieee754_ynf __P((int,float));
 268 extern float __ieee754_remainderf __P((float,float));
 269 extern int   __ieee754_rem_pio2f __P((float,float*));
 270 extern float __ieee754_scalbf __P((float,float));
 271
 272 /* float versions of fdlibm kernel functions */
 273 extern float __kernel_sinf __P((float,float,int));
 274 extern float __kernel_cosf __P((float,float));
 275 extern float __kernel_tanf __P((float,float,int));
 276 extern int   __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
 277
 278 #endif /* _MATH_PRIVATE_H_ */