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
  21 #include "longdbl.h"
  22
  23 union fshape {
  24         float value;
  25         uint32_t bits;
  26 };
  27
  28 union dshape {
  29         double value;
  30         uint64_t bits;
  31 };
  32
  33 /* Get two 32 bit ints from a double.  */
  34 #define EXTRACT_WORDS(hi,lo,d)                                  \
  35 do {                                                            \
  36   union dshape __u;                                             \
  37   __u.value = (d);                                              \
  38   (hi) = __u.bits >> 32;                                        \
  39   (lo) = (uint32_t)__u.bits;                                    \
  40 } while (0)
  41
  42 /* Get a 64 bit int from a double.  */
  43 #define EXTRACT_WORD64(i,d)                                     \
  44 do {                                                            \
  45   union dshape __u;                                             \
  46   __u.value = (d);                                              \
  47   (i) = __u.bits;                                               \
  48 } while (0)
  49
  50 /* Get the more significant 32 bit int from a double.  */
  51 #define GET_HIGH_WORD(i,d)                                      \
  52 do {                                                            \
  53   union dshape __u;                                             \
  54   __u.value = (d);                                              \
  55   (i) = __u.bits >> 32;                                         \
  56 } while (0)
  57
  58 /* Get the less significant 32 bit int from a double.  */
  59 #define GET_LOW_WORD(i,d)                                       \
  60 do {                                                            \
  61   union dshape __u;                                             \
  62   __u.value = (d);                                              \
  63   (i) = (uint32_t)__u.bits;                                     \
  64 } while (0)
  65
  66 /* Set a double from two 32 bit ints.  */
  67 #define INSERT_WORDS(d,hi,lo)                                   \
  68 do {                                                            \
  69   union dshape __u;                                             \
  70   __u.bits = ((uint64_t)(hi) << 32) | (uint32_t)(lo);           \
  71   (d) = __u.value;                                              \
  72 } while (0)
  73
  74 /* Set a double from a 64 bit int.  */
  75 #define INSERT_WORD64(d,i)                                      \
  76 do {                                                            \
  77   union dshape __u;                                             \
  78   __u.bits = (i);                                               \
  79   (d) = __u.value;                                              \
  80 } while (0)
  81
  82 /* Set the more significant 32 bits of a double from an int.  */
  83 #define SET_HIGH_WORD(d,hi)                                     \
  84 do {                                                            \
  85   union dshape __u;                                             \
  86   __u.value = (d);                                              \
  87   __u.bits &= 0xffffffff;                                       \
  88   __u.bits |= (uint64_t)(hi) << 32;                             \
  89   (d) = __u.value;                                              \
  90 } while (0)
  91
  92 /* Set the less significant 32 bits of a double from an int.  */
  93 #define SET_LOW_WORD(d,lo)                                      \
  94 do {                                                            \
  95   union dshape __u;                                             \
  96   __u.value = (d);                                              \
  97   __u.bits &= 0xffffffff00000000ull;                            \
  98   __u.bits |= (uint32_t)(lo);                                   \
  99   (d) = __u.value;                                              \
 100 } while (0)
 101
 102 /* Get a 32 bit int from a float.  */
 103 #define GET_FLOAT_WORD(i,d)                                     \
 104 do {                                                            \
 105   union fshape __u;                                             \
 106   __u.value = (d);                                              \
 107   (i) = __u.bits;                                               \
 108 } while (0)
 109
 110 /* Set a float from a 32 bit int.  */
 111 #define SET_FLOAT_WORD(d,i)                                     \
 112 do {                                                            \
 113   union fshape __u;                                             \
 114   __u.bits = (i);                                               \
 115   (d) = __u.value;                                              \
 116 } while (0)
 117
 118 /* fdlibm kernel functions */
 119
 120 int    __rem_pio2_large(double*,double*,int,int,int);
 121
 122 int    __rem_pio2(double,double*);
 123 double __sin(double,double,int);
 124 double __cos(double,double);
 125 double __tan(double,double,int);
 126 double __expo2(double);
 127 double complex __ldexp_cexp(double complex,int);
 128
 129 int    __rem_pio2f(float,double*);
 130 float  __sindf(double);
 131 float  __cosdf(double);
 132 float  __tandf(double,int);
 133 float  __expo2f(float);
 134 float complex __ldexp_cexpf(float complex,int);
 135
 136 long double __sinl(long double, long double, int);
 137 long double __cosl(long double, long double);
 138 long double __tanl(long double, long double, int);
 139
 140 /* polynomial evaluation */
 141 long double __polevll(long double, long double *, int);
 142 long double __p1evll(long double, long double *, int);
 143
 144 // FIXME: not needed when -fexcess-precision=standard is supported (>=gcc4.5)
 145 /*
 146  * Attempt to get strict C99 semantics for assignment with non-C99 compilers.
 147  */
 148 #if 1
 149 #define STRICT_ASSIGN(type, lval, rval) do {    \
 150         volatile type __v = (rval);             \
 151         (lval) = __v;                           \
 152 } while (0)
 153 #else
 154 #define STRICT_ASSIGN(type, lval, rval) ((lval) = (type)(rval))
 155 #endif
 156
 157
 158 /* complex */
 159
 160 union dcomplex {
 161         double complex z;
 162         double a[2];
 163 };
 164 union fcomplex {
 165         float complex z;
 166         float a[2];
 167 };
 168 union lcomplex {
 169         long double complex z;
 170         long double a[2];
 171 };
 172
 173 // FIXME: move to complex.h ?
 174 #define creal(z) ((double)(z))
 175 #define crealf(z) ((float)(z))
 176 #define creall(z) ((long double)(z))
 177 #define cimag(z) ((union dcomplex){(z)}.a[1])
 178 #define cimagf(z) ((union fcomplex){(z)}.a[1])
 179 #define cimagl(z) ((union lcomplex){(z)}.a[1])
 180
 181 /* x + y*I is not supported properly by gcc */
 182 #define cpack(x,y) ((union dcomplex){.a={(x),(y)}}.z)
 183 #define cpackf(x,y) ((union fcomplex){.a={(x),(y)}}.z)
 184 #define cpackl(x,y) ((union lcomplex){.a={(x),(y)}}.z)
 185
 186 #endif