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