nsz Git - musl/blob - src/internal/libm.h

   1 /* origin: FreeBSD /usr/src/lib/msun/src/math_private.h */
   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 #ifndef _LIBM_H
  14 #define _LIBM_H
  15
  16 #include <stdint.h>
  17 #include <float.h>
  18 #include <math.h>
  19 #include <complex.h>
  20 #include <endian.h>
  21
  22 #include "libc.h"
  23
  24 union fshape {
  25         float value;
  26         uint32_t bits;
  27 };
  28
  29 union dshape {
  30         double value;
  31         uint64_t bits;
  32 };
  33
  34 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
  35 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
  36 union ldshape {
  37         long double f;
  38         struct {
  39                 uint64_t m;
  40                 uint16_t se;
  41         } i;
  42 };
  43 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
  44 union ldshape {
  45         long double f;
  46         struct {
  47                 uint64_t lo;
  48                 uint32_t mid;
  49                 uint16_t top;
  50                 uint16_t se;
  51         } i;
  52         struct {
  53                 uint64_t lo;
  54                 uint64_t hi;
  55         } i2;
  56 };
  57 #else
  58 #error Unsupported long double representation
  59 #endif
  60
  61 #define FORCE_EVAL(x) do {                          \
  62         if (sizeof(x) == sizeof(float)) {           \
  63                 volatile float __x;                 \
  64                 __x = (x);                          \
  65         } else if (sizeof(x) == sizeof(double)) {   \
  66                 volatile double __x;                \
  67                 __x = (x);                          \
  68         } else {                                    \
  69                 volatile long double __x;           \
  70                 __x = (x);                          \
  71         }                                           \
  72 } while(0)
  73
  74 /* Get two 32 bit ints from a double.  */
  75 #define EXTRACT_WORDS(hi,lo,d)                                  \
  76 do {                                                            \
  77   union dshape __u;                                             \
  78   __u.value = (d);                                              \
  79   (hi) = __u.bits >> 32;                                        \
  80   (lo) = (uint32_t)__u.bits;                                    \
  81 } while (0)
  82
  83 /* Get a 64 bit int from a double.  */
  84 #define EXTRACT_WORD64(i,d)                                     \
  85 do {                                                            \
  86   union dshape __u;                                             \
  87   __u.value = (d);                                              \
  88   (i) = __u.bits;                                               \
  89 } while (0)
  90
  91 /* Get the more significant 32 bit int from a double.  */
  92 #define GET_HIGH_WORD(i,d)                                      \
  93 do {                                                            \
  94   union dshape __u;                                             \
  95   __u.value = (d);                                              \
  96   (i) = __u.bits >> 32;                                         \
  97 } while (0)
  98
  99 /* Get the less significant 32 bit int from a double.  */
 100 #define GET_LOW_WORD(i,d)                                       \
 101 do {                                                            \
 102   union dshape __u;                                             \
 103   __u.value = (d);                                              \
 104   (i) = (uint32_t)__u.bits;                                     \
 105 } while (0)
 106
 107 /* Set a double from two 32 bit ints.  */
 108 #define INSERT_WORDS(d,hi,lo)                                   \
 109 do {                                                            \
 110   union dshape __u;                                             \
 111   __u.bits = ((uint64_t)(hi) << 32) | (uint32_t)(lo);           \
 112   (d) = __u.value;                                              \
 113 } while (0)
 114
 115 /* Set a double from a 64 bit int.  */
 116 #define INSERT_WORD64(d,i)                                      \
 117 do {                                                            \
 118   union dshape __u;                                             \
 119   __u.bits = (i);                                               \
 120   (d) = __u.value;                                              \
 121 } while (0)
 122
 123 /* Set the more significant 32 bits of a double from an int.  */
 124 #define SET_HIGH_WORD(d,hi)                                     \
 125 do {                                                            \
 126   union dshape __u;                                             \
 127   __u.value = (d);                                              \
 128   __u.bits &= 0xffffffff;                                       \
 129   __u.bits |= (uint64_t)(hi) << 32;                             \
 130   (d) = __u.value;                                              \
 131 } while (0)
 132
 133 /* Set the less significant 32 bits of a double from an int.  */
 134 #define SET_LOW_WORD(d,lo)                                      \
 135 do {                                                            \
 136   union dshape __u;                                             \
 137   __u.value = (d);                                              \
 138   __u.bits &= 0xffffffff00000000ull;                            \
 139   __u.bits |= (uint32_t)(lo);                                   \
 140   (d) = __u.value;                                              \
 141 } while (0)
 142
 143 /* Get a 32 bit int from a float.  */
 144 #define GET_FLOAT_WORD(i,d)                                     \
 145 do {                                                            \
 146   union fshape __u;                                             \
 147   __u.value = (d);                                              \
 148   (i) = __u.bits;                                               \
 149 } while (0)
 150
 151 /* Set a float from a 32 bit int.  */
 152 #define SET_FLOAT_WORD(d,i)                                     \
 153 do {                                                            \
 154   union fshape __u;                                             \
 155   __u.bits = (i);                                               \
 156   (d) = __u.value;                                              \
 157 } while (0)
 158
 159 /* fdlibm kernel functions */
 160
 161 int    __rem_pio2_large(double*,double*,int,int,int);
 162
 163 int    __rem_pio2(double,double*);
 164 double __sin(double,double,int);
 165 double __cos(double,double);
 166 double __tan(double,double,int);
 167 double __expo2(double);
 168 double complex __ldexp_cexp(double complex,int);
 169
 170 int    __rem_pio2f(float,double*);
 171 float  __sindf(double);
 172 float  __cosdf(double);
 173 float  __tandf(double,int);
 174 float  __expo2f(float);
 175 float complex __ldexp_cexpf(float complex,int);
 176
 177 int __rem_pio2l(long double, long double *);
 178 long double __sinl(long double, long double, int);
 179 long double __cosl(long double, long double);
 180 long double __tanl(long double, long double, int);
 181
 182 /* polynomial evaluation */
 183 long double __polevll(long double, const long double *, int);
 184 long double __p1evll(long double, const long double *, int);
 185
 186 #if 0
 187 /* Attempt to get strict C99 semantics for assignment with non-C99 compilers. */
 188 #define STRICT_ASSIGN(type, lval, rval) do {    \
 189         volatile type __v = (rval);             \
 190         (lval) = __v;                           \
 191 } while (0)
 192 #else
 193 /* Should work with -fexcess-precision=standard (>=gcc-4.5) or -ffloat-store */
 194 #define STRICT_ASSIGN(type, lval, rval) ((lval) = (type)(rval))
 195 #endif
 196
 197 #endif