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 <endian.h>
  20
  21 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
  22 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
  23 union ldshape {
  24         long double f;
  25         struct {
  26                 uint64_t m;
  27                 uint16_t se;
  28         } i;
  29 };
  30 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
  31 /* This is the m68k variant of 80-bit long double, and this definition only works
  32  * on archs where the alignment requirement of uint64_t is <= 4. */
  33 union ldshape {
  34         long double f;
  35         struct {
  36                 uint16_t se;
  37                 uint16_t pad;
  38                 uint64_t m;
  39         } i;
  40 };
  41 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
  42 union ldshape {
  43         long double f;
  44         struct {
  45                 uint64_t lo;
  46                 uint32_t mid;
  47                 uint16_t top;
  48                 uint16_t se;
  49         } i;
  50         struct {
  51                 uint64_t lo;
  52                 uint64_t hi;
  53         } i2;
  54 };
  55 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
  56 union ldshape {
  57         long double f;
  58         struct {
  59                 uint16_t se;
  60                 uint16_t top;
  61                 uint32_t mid;
  62                 uint64_t lo;
  63         } i;
  64         struct {
  65                 uint64_t hi;
  66                 uint64_t lo;
  67         } i2;
  68 };
  69 #else
  70 #error Unsupported long double representation
  71 #endif
  72
  73 #define FORCE_EVAL(x) do {                        \
  74         if (sizeof(x) == sizeof(float)) {         \
  75                 volatile float __x;               \
  76                 __x = (x);                        \
  77         } else if (sizeof(x) == sizeof(double)) { \
  78                 volatile double __x;              \
  79                 __x = (x);                        \
  80         } else {                                  \
  81                 volatile long double __x;         \
  82                 __x = (x);                        \
  83         }                                         \
  84 } while(0)
  85
  86 /* Get two 32 bit ints from a double.  */
  87 #define EXTRACT_WORDS(hi,lo,d)                    \
  88 do {                                              \
  89   union {double f; uint64_t i;} __u;              \
  90   __u.f = (d);                                    \
  91   (hi) = __u.i >> 32;                             \
  92   (lo) = (uint32_t)__u.i;                         \
  93 } while (0)
  94
  95 /* Get the more significant 32 bit int from a double.  */
  96 #define GET_HIGH_WORD(hi,d)                       \
  97 do {                                              \
  98   union {double f; uint64_t i;} __u;              \
  99   __u.f = (d);                                    \
 100   (hi) = __u.i >> 32;                             \
 101 } while (0)
 102
 103 /* Get the less significant 32 bit int from a double.  */
 104 #define GET_LOW_WORD(lo,d)                        \
 105 do {                                              \
 106   union {double f; uint64_t i;} __u;              \
 107   __u.f = (d);                                    \
 108   (lo) = (uint32_t)__u.i;                         \
 109 } while (0)
 110
 111 /* Set a double from two 32 bit ints.  */
 112 #define INSERT_WORDS(d,hi,lo)                     \
 113 do {                                              \
 114   union {double f; uint64_t i;} __u;              \
 115   __u.i = ((uint64_t)(hi)<<32) | (uint32_t)(lo);  \
 116   (d) = __u.f;                                    \
 117 } while (0)
 118
 119 /* Set the more significant 32 bits of a double from an int.  */
 120 #define SET_HIGH_WORD(d,hi)                       \
 121 do {                                              \
 122   union {double f; uint64_t i;} __u;              \
 123   __u.f = (d);                                    \
 124   __u.i &= 0xffffffff;                            \
 125   __u.i |= (uint64_t)(hi) << 32;                  \
 126   (d) = __u.f;                                    \
 127 } while (0)
 128
 129 /* Set the less significant 32 bits of a double from an int.  */
 130 #define SET_LOW_WORD(d,lo)                        \
 131 do {                                              \
 132   union {double f; uint64_t i;} __u;              \
 133   __u.f = (d);                                    \
 134   __u.i &= 0xffffffff00000000ull;                 \
 135   __u.i |= (uint32_t)(lo);                        \
 136   (d) = __u.f;                                    \
 137 } while (0)
 138
 139 /* Get a 32 bit int from a float.  */
 140 #define GET_FLOAT_WORD(w,d)                       \
 141 do {                                              \
 142   union {float f; uint32_t i;} __u;               \
 143   __u.f = (d);                                    \
 144   (w) = __u.i;                                    \
 145 } while (0)
 146
 147 /* Set a float from a 32 bit int.  */
 148 #define SET_FLOAT_WORD(d,w)                       \
 149 do {                                              \
 150   union {float f; uint32_t i;} __u;               \
 151   __u.i = (w);                                    \
 152   (d) = __u.f;                                    \
 153 } while (0)
 154
 155 /* fdlibm kernel functions */
 156
 157 hidden int    __rem_pio2_large(double*,double*,int,int,int);
 158
 159 hidden int    __rem_pio2(double,double*);
 160 hidden double __sin(double,double,int);
 161 hidden double __cos(double,double);
 162 hidden double __tan(double,double,int);
 163 hidden double __expo2(double);
 164
 165 hidden int    __rem_pio2f(float,double*);
 166 hidden float  __sindf(double);
 167 hidden float  __cosdf(double);
 168 hidden float  __tandf(double,int);
 169 hidden float  __expo2f(float);
 170
 171 hidden int __rem_pio2l(long double, long double *);
 172 hidden long double __sinl(long double, long double, int);
 173 hidden long double __cosl(long double, long double);
 174 hidden long double __tanl(long double, long double, int);
 175
 176 /* polynomial evaluation */
 177 hidden long double __polevll(long double, const long double *, int);
 178 hidden long double __p1evll(long double, const long double *, int);
 179
 180 extern int __signgam;
 181 hidden double __lgamma_r(double, int *);
 182 hidden float __lgammaf_r(float, int *);
 183
 184 #endif