#ifndef _MATH_H #ifdef _ISOMAC # undef NO_LONG_DOUBLE #endif #include #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 \ && __LONG_DOUBLE_USES_FLOAT128 == 0 hidden_proto (__finitel) hidden_proto (__isinfl) hidden_proto (__isnanl) # endif # if __HAVE_DISTINCT_FLOAT128 hidden_proto (__finitef128) hidden_proto (__isinff128) hidden_proto (__isnanf128) hidden_proto (__signbitf128) # 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) libm_hidden_proto (__roundeven) # if !defined __NO_LONG_DOUBLE_MATH \ && __LONG_DOUBLE_USES_FLOAT128 == 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 #include /* 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 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 \ || __LONG_DOUBLE_USES_FLOAT128 == 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 MATH_REDIRECT (sqrt, "__ieee754_", MATH_REDIRECT_UNARY_ARGS) MATH_REDIRECT (ceil, "__", MATH_REDIRECT_UNARY_ARGS) MATH_REDIRECT (floor, "__", 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) # endif # endif #endif #endif