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 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
  23 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
  24 union ldshape {
  25         long double f;
  26         struct {
  27                 uint64_t m;
  28                 uint16_t se;
  29         } i;
  30 };
  31 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
  32 union ldshape {
  33         long double f;
  34         struct {
  35                 uint64_t lo;
  36                 uint32_t mid;
  37                 uint16_t top;
  38                 uint16_t se;
  39         } i;
  40         struct {
  41                 uint64_t lo;
  42                 uint64_t hi;
  43         } i2;
  44 };
  45 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
  46 union ldshape {
  47         long double f;
  48         struct {
  49                 uint16_t se;
  50                 uint16_t top;
  51                 uint32_t mid;
  52                 uint64_t lo;
  53         } i;
  54         struct {
  55                 uint64_t hi;
  56                 uint64_t lo;
  57         } i2;
  58 };
  59 #else
  60 #error Unsupported long double representation
  61 #endif
  62
  63 #define FORCE_EVAL(x) do {                        \
  64         if (sizeof(x) == sizeof(float)) {         \
  65                 volatile float __x;               \
  66                 __x = (x);                        \
  67         } else if (sizeof(x) == sizeof(double)) { \
  68                 volatile double __x;              \
  69                 __x = (x);                        \
  70         } else {                                  \
  71                 volatile long double __x;         \
  72                 __x = (x);                        \
  73         }                                         \
  74 } while(0)
  75
  76 /* Get two 32 bit ints from a double.  */
  77 #define EXTRACT_WORDS(hi,lo,d)                    \
  78 do {                                              \
  79   union {double f; uint64_t i;} __u;              \
  80   __u.f = (d);                                    \
  81   (hi) = __u.i >> 32;                             \
  82   (lo) = (uint32_t)__u.i;                         \
  83 } while (0)
  84
  85 /* Get the more significant 32 bit int from a double.  */
  86 #define GET_HIGH_WORD(hi,d)                       \
  87 do {                                              \
  88   union {double f; uint64_t i;} __u;              \
  89   __u.f = (d);                                    \
  90   (hi) = __u.i >> 32;                             \
  91 } while (0)
  92
  93 /* Get the less significant 32 bit int from a double.  */
  94 #define GET_LOW_WORD(lo,d)                        \
  95 do {                                              \
  96   union {double f; uint64_t i;} __u;              \
  97   __u.f = (d);                                    \
  98   (lo) = (uint32_t)__u.i;                         \
  99 } while (0)
 100
 101 /* Set a double from two 32 bit ints.  */
 102 #define INSERT_WORDS(d,hi,lo)                     \
 103 do {                                              \
 104   union {double f; uint64_t i;} __u;              \
 105   __u.i = ((uint64_t)(hi)<<32) | (uint32_t)(lo);  \
 106   (d) = __u.f;                                    \
 107 } while (0)
 108
 109 /* Set the more significant 32 bits of a double from an int.  */
 110 #define SET_HIGH_WORD(d,hi)                       \
 111 do {                                              \
 112   union {double f; uint64_t i;} __u;              \
 113   __u.f = (d);                                    \
 114   __u.i &= 0xffffffff;                            \
 115   __u.i |= (uint64_t)(hi) << 32;                  \
 116   (d) = __u.f;                                    \
 117 } while (0)
 118
 119 /* Set the less significant 32 bits of a double from an int.  */
 120 #define SET_LOW_WORD(d,lo)                        \
 121 do {                                              \
 122   union {double f; uint64_t i;} __u;              \
 123   __u.f = (d);                                    \
 124   __u.i &= 0xffffffff00000000ull;                 \
 125   __u.i |= (uint32_t)(lo);                        \
 126   (d) = __u.f;                                    \
 127 } while (0)
 128
 129 /* Get a 32 bit int from a float.  */
 130 #define GET_FLOAT_WORD(w,d)                       \
 131 do {                                              \
 132   union {float f; uint32_t i;} __u;               \
 133   __u.f = (d);                                    \
 134   (w) = __u.i;                                    \
 135 } while (0)
 136
 137 /* Set a float from a 32 bit int.  */
 138 #define SET_FLOAT_WORD(d,w)                       \
 139 do {                                              \
 140   union {float f; uint32_t i;} __u;               \
 141   __u.i = (w);                                    \
 142   (d) = __u.f;                                    \
 143 } while (0)
 144
 145 #undef __CMPLX
 146 #undef CMPLX
 147 #undef CMPLXF
 148 #undef CMPLXL
 149
 150 #define __CMPLX(x, y, t) \
 151         ((union { _Complex t __z; t __xy[2]; }){.__xy = {(x),(y)}}.__z)
 152
 153 #define CMPLX(x, y) __CMPLX(x, y, double)
 154 #define CMPLXF(x, y) __CMPLX(x, y, float)
 155 #define CMPLXL(x, y) __CMPLX(x, y, long double)
 156
 157 /* fdlibm kernel functions */
 158
 159 int    __rem_pio2_large(double*,double*,int,int,int);
 160
 161 int    __rem_pio2(double,double*);
 162 double __sin(double,double,int);
 163 double __cos(double,double);
 164 double __tan(double,double,int);
 165 double __expo2(double);
 166 double complex __ldexp_cexp(double complex,int);
 167
 168 int    __rem_pio2f(float,double*);
 169 float  __sindf(double);
 170 float  __cosdf(double);
 171 float  __tandf(double,int);
 172 float  __expo2f(float);
 173 float complex __ldexp_cexpf(float complex,int);
 174
 175 int __rem_pio2l(long double, long double *);
 176 long double __sinl(long double, long double, int);
 177 long double __cosl(long double, long double);
 178 long double __tanl(long double, long double, int);
 179
 180 /* polynomial evaluation */
 181 long double __polevll(long double, const long double *, int);
 182 long double __p1evll(long double, const long double *, int);
 183
 184 #endif