include/math.h

   1 #ifndef _MATH_H
   2
   3 #ifdef _ISOMAC
   4 # undef NO_LONG_DOUBLE
   5 #endif
   6
   7 #include <math/math.h>
   8
   9 #ifndef _ISOMAC
  10 /* Now define the internal interfaces.  */
  11 extern int __signgam;
  12
  13 # if IS_IN (libc) || IS_IN (libm)
  14 hidden_proto (__finite)
  15 hidden_proto (__isinf)
  16 hidden_proto (__isnan)
  17 hidden_proto (__finitef)
  18 hidden_proto (__isinff)
  19 hidden_proto (__isnanf)
  20
  21 #  if !defined __NO_LONG_DOUBLE_MATH \
  22       && __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 0
  23 hidden_proto (__finitel)
  24 hidden_proto (__isinfl)
  25 hidden_proto (__isnanl)
  26 #  endif
  27
  28 #  if __HAVE_DISTINCT_FLOAT128
  29 hidden_proto (__finitef128)
  30 hidden_proto (__isinff128)
  31 hidden_proto (__isnanf128)
  32 #  endif
  33 # endif
  34
  35 libm_hidden_proto (__fpclassify)
  36 libm_hidden_proto (__fpclassifyf)
  37 libm_hidden_proto (__issignaling)
  38 libm_hidden_proto (__issignalingf)
  39 libm_hidden_proto (__exp)
  40 libm_hidden_proto (__expf)
  41 libm_hidden_proto (__roundeven)
  42
  43 #  if !defined __NO_LONG_DOUBLE_MATH \
  44       && __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 0
  45 libm_hidden_proto (__fpclassifyl)
  46 libm_hidden_proto (__issignalingl)
  47 libm_hidden_proto (__expl)
  48 libm_hidden_proto (__expm1l)
  49 # endif
  50
  51 # if __HAVE_DISTINCT_FLOAT128
  52 libm_hidden_proto (__fpclassifyf128)
  53 libm_hidden_proto (__issignalingf128)
  54 libm_hidden_proto (__expf128)
  55 libm_hidden_proto (__expm1f128)
  56 # endif
  57
  58 #include <stdint.h>
  59 #include <nan-high-order-bit.h>
  60
  61 /* A union which permits us to convert between a float and a 32 bit
  62    int.  */
  63
  64 typedef union
  65 {
  66   float value;
  67   uint32_t word;
  68 } ieee_float_shape_type;
  69
  70 /* Get a 32 bit int from a float.  */
  71 #ifndef GET_FLOAT_WORD
  72 # define GET_FLOAT_WORD(i,d)                                    \
  73 do {                                                            \
  74   ieee_float_shape_type gf_u;                                   \
  75   gf_u.value = (d);                                             \
  76   (i) = gf_u.word;                                              \
  77 } while (0)
  78 #endif
  79
  80 /* Set a float from a 32 bit int.  */
  81 #ifndef SET_FLOAT_WORD
  82 # define SET_FLOAT_WORD(d,i)                                    \
  83 do {                                                            \
  84   ieee_float_shape_type sf_u;                                   \
  85   sf_u.word = (i);                                              \
  86   (d) = sf_u.value;                                             \
  87 } while (0)
  88 #endif
  89
  90 extern inline int
  91 __issignalingf (float x)
  92 {
  93   uint32_t xi;
  94   GET_FLOAT_WORD (xi, x);
  95 #if HIGH_ORDER_BIT_IS_SET_FOR_SNAN
  96   /* We only have to care about the high-order bit of x's significand, because
  97      having it set (sNaN) already makes the significand different from that
  98      used to designate infinity.  */
  99   return (xi & 0x7fc00000) == 0x7fc00000;
 100 #else
 101   /* To keep the following comparison simple, toggle the quiet/signaling bit,
 102      so that it is set for sNaNs.  This is inverse to IEEE 754-2008 (as well as
 103      common practice for IEEE 754-1985).  */
 104   xi ^= 0x00400000;
 105   /* We have to compare for greater (instead of greater or equal), because x's
 106      significand being all-zero designates infinity not NaN.  */
 107   return (xi & 0x7fffffff) > 0x7fc00000;
 108 #endif
 109 }
 110
 111 # if __HAVE_DISTINCT_FLOAT128
 112
 113 /* __builtin_isinf_sign is broken in GCC < 7 for float128.  */
 114 #  if ! __GNUC_PREREQ (7, 0)
 115 #   include <ieee754_float128.h>
 116 extern inline int
 117 __isinff128 (_Float128 x)
 118 {
 119   int64_t hx, lx;
 120   GET_FLOAT128_WORDS64 (hx, lx, x);
 121   lx |= (hx & 0x7fffffffffffffffLL) ^ 0x7fff000000000000LL;
 122   lx |= -lx;
 123   return ~(lx >> 63) & (hx >> 62);
 124 }
 125 #  endif
 126
 127 extern inline _Float128
 128 fabsf128 (_Float128 x)
 129 {
 130   return __builtin_fabsf128 (x);
 131 }
 132 # endif
 133
 134 # if !(defined __FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0)
 135 #  ifndef NO_MATH_REDIRECT
 136 /* Declare some functions for use within GLIBC.  Compilers typically
 137    inline those functions as a single instruction.  Use an asm to
 138    avoid use of PLTs if it doesn't.  */
 139 #   define MATH_REDIRECT(FUNC, PREFIX, ARGS)                    \
 140   float (FUNC ## f) (ARGS (float)) asm (PREFIX #FUNC "f");      \
 141   double (FUNC) (ARGS (double)) asm (PREFIX #FUNC );            \
 142   MATH_REDIRECT_LDBL (FUNC, PREFIX, ARGS)                       \
 143   MATH_REDIRECT_F128 (FUNC, PREFIX, ARGS)
 144 #   if defined __NO_LONG_DOUBLE_MATH                            \
 145        || __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 1
 146 #    define MATH_REDIRECT_LDBL(FUNC, PREFIX, ARGS)
 147 #   else
 148 #    define MATH_REDIRECT_LDBL(FUNC, PREFIX, ARGS)                      \
 149   long double (FUNC ## l) (ARGS (long double)) asm (PREFIX #FUNC "l");
 150 #   endif
 151 #   if __HAVE_DISTINCT_FLOAT128
 152 #    define MATH_REDIRECT_F128(FUNC, PREFIX, ARGS)                      \
 153   _Float128 (FUNC ## f128) (ARGS (_Float128)) asm (PREFIX #FUNC "f128");
 154 #   else
 155 #    define MATH_REDIRECT_F128(FUNC, PREFIX, ARGS)
 156 #   endif
 157 #   define MATH_REDIRECT_UNARY_ARGS(TYPE) TYPE
 158 #   define MATH_REDIRECT_BINARY_ARGS(TYPE) TYPE, TYPE
 159 MATH_REDIRECT (sqrt, "__ieee754_", MATH_REDIRECT_UNARY_ARGS)
 160 MATH_REDIRECT (ceil, "__", MATH_REDIRECT_UNARY_ARGS)
 161 MATH_REDIRECT (floor, "__", MATH_REDIRECT_UNARY_ARGS)
 162 MATH_REDIRECT (rint, "__", MATH_REDIRECT_UNARY_ARGS)
 163 MATH_REDIRECT (trunc, "__", MATH_REDIRECT_UNARY_ARGS)
 164 MATH_REDIRECT (round, "__", MATH_REDIRECT_UNARY_ARGS)
 165 MATH_REDIRECT (copysign, "__", MATH_REDIRECT_BINARY_ARGS)
 166 #  endif
 167 # endif
 168
 169 #endif
 170 #endif