glibc/include/math.h

173 lines
4.8 KiB
C

#ifndef _MATH_H
#ifdef _ISOMAC
# undef NO_LONG_DOUBLE
#endif
#include <math/math.h>
#ifndef _ISOMAC
/* Now define the internal interfaces. */
extern int __signgam;
# if IS_IN (libc) || IS_IN (libm)
hidden_proto (__finite)
hidden_proto (__isinf)
hidden_proto (__isnan)
hidden_proto (__finitef)
hidden_proto (__isinff)
hidden_proto (__isnanf)
# if !defined __NO_LONG_DOUBLE_MATH \
&& __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 0
hidden_proto (__finitel)
hidden_proto (__isinfl)
hidden_proto (__isnanl)
# endif
# if __HAVE_DISTINCT_FLOAT128
hidden_proto (__finitef128)
hidden_proto (__isinff128)
hidden_proto (__isnanf128)
# endif
# endif
libm_hidden_proto (__fpclassify)
libm_hidden_proto (__fpclassifyf)
libm_hidden_proto (__issignaling)
libm_hidden_proto (__issignalingf)
libm_hidden_proto (__exp)
libm_hidden_proto (__expf)
# if !defined __NO_LONG_DOUBLE_MATH \
&& __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 0
libm_hidden_proto (__fpclassifyl)
libm_hidden_proto (__issignalingl)
libm_hidden_proto (__expl)
libm_hidden_proto (__expm1l)
# endif
# if __HAVE_DISTINCT_FLOAT128
libm_hidden_proto (__fpclassifyf128)
libm_hidden_proto (__issignalingf128)
libm_hidden_proto (__expf128)
libm_hidden_proto (__expm1f128)
# endif
#include <stdint.h>
#include <nan-high-order-bit.h>
/* A union which permits us to convert between a float and a 32 bit
int. */
typedef union
{
float value;
uint32_t word;
} ieee_float_shape_type;
/* Get a 32 bit int from a float. */
#ifndef GET_FLOAT_WORD
# define GET_FLOAT_WORD(i,d) \
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
#endif
/* Set a float from a 32 bit int. */
#ifndef SET_FLOAT_WORD
# define SET_FLOAT_WORD(d,i) \
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)
#endif
extern inline int
__issignalingf (float x)
{
uint32_t xi;
GET_FLOAT_WORD (xi, x);
#if HIGH_ORDER_BIT_IS_SET_FOR_SNAN
/* We only have to care about the high-order bit of x's significand, because
having it set (sNaN) already makes the significand different from that
used to designate infinity. */
return (xi & 0x7fc00000) == 0x7fc00000;
#else
/* To keep the following comparison simple, toggle the quiet/signaling bit,
so that it is set for sNaNs. This is inverse to IEEE 754-2008 (as well as
common practice for IEEE 754-1985). */
xi ^= 0x00400000;
/* We have to compare for greater (instead of greater or equal), because x's
significand being all-zero designates infinity not NaN. */
return (xi & 0x7fffffff) > 0x7fc00000;
#endif
}
# if __HAVE_DISTINCT_FLOAT128
/* __builtin_isinf_sign is broken in GCC < 7 for float128. */
# if ! __GNUC_PREREQ (7, 0)
# include <ieee754_float128.h>
extern inline int
__isinff128 (_Float128 x)
{
int64_t hx, lx;
GET_FLOAT128_WORDS64 (hx, lx, x);
lx |= (hx & 0x7fffffffffffffffLL) ^ 0x7fff000000000000LL;
lx |= -lx;
return ~(lx >> 63) & (hx >> 62);
}
# endif
extern inline _Float128
fabsf128 (_Float128 x)
{
return __builtin_fabsf128 (x);
}
# endif
# if !(defined __FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0)
# ifndef NO_MATH_REDIRECT
/* Declare some functions for use within GLIBC. Compilers typically
inline those functions as a single instruction. Use an asm to
avoid use of PLTs if it doesn't. */
# define MATH_REDIRECT(FUNC, PREFIX, ARGS) \
float (FUNC ## f) (ARGS (float)) asm (PREFIX #FUNC "f"); \
double (FUNC) (ARGS (double)) asm (PREFIX #FUNC ); \
MATH_REDIRECT_LDBL (FUNC, PREFIX, ARGS) \
MATH_REDIRECT_F128 (FUNC, PREFIX, ARGS)
# if defined __NO_LONG_DOUBLE_MATH \
|| __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 1
# define MATH_REDIRECT_LDBL(FUNC, PREFIX, ARGS)
# else
# define MATH_REDIRECT_LDBL(FUNC, PREFIX, ARGS) \
long double (FUNC ## l) (ARGS (long double)) asm (PREFIX #FUNC "l");
# endif
# if __HAVE_DISTINCT_FLOAT128
# define MATH_REDIRECT_F128(FUNC, PREFIX, ARGS) \
_Float128 (FUNC ## f128) (ARGS (_Float128)) asm (PREFIX #FUNC "f128");
# else
# define MATH_REDIRECT_F128(FUNC, PREFIX, ARGS)
# endif
# define MATH_REDIRECT_UNARY_ARGS(TYPE) TYPE
# define MATH_REDIRECT_BINARY_ARGS(TYPE) TYPE, TYPE
# define MATH_REDIRECT_TERNARY_ARGS(TYPE) TYPE, TYPE, TYPE
MATH_REDIRECT (sqrt, "__ieee754_", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (ceil, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (floor, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (roundeven, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (rint, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (trunc, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (round, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (copysign, "__", MATH_REDIRECT_BINARY_ARGS)
MATH_REDIRECT (fma, "__", MATH_REDIRECT_TERNARY_ARGS)
# endif
# endif
#endif
#endif