/* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* * from: @(#)fdlibm.h 5.1 93/09/24 */ #ifndef _MATH_PRIVATE_H_ #define _MATH_PRIVATE_H_ #include #include #include #include /* Gather machine dependent _Floatn support. */ #include /* The original fdlibm code used statements like: n0 = ((*(int*)&one)>>29)^1; * index of high word * ix0 = *(n0+(int*)&x); * high word of x * ix1 = *((1-n0)+(int*)&x); * low word of x * to dig two 32 bit words out of the 64 bit IEEE floating point value. That is non-ANSI, and, moreover, the gcc instruction scheduler gets it wrong. We instead use the following macros. Unlike the original code, we determine the endianness at compile time, not at run time; I don't see much benefit to selecting endianness at run time. */ /* A union which permits us to convert between a double and two 32 bit ints. */ #if __FLOAT_WORD_ORDER == __BIG_ENDIAN typedef union { double value; struct { uint32_t msw; uint32_t lsw; } parts; uint64_t word; } ieee_double_shape_type; #endif #if __FLOAT_WORD_ORDER == __LITTLE_ENDIAN typedef union { double value; struct { uint32_t lsw; uint32_t msw; } parts; uint64_t word; } ieee_double_shape_type; #endif /* Get two 32 bit ints from a double. */ #define EXTRACT_WORDS(ix0,ix1,d) \ do { \ ieee_double_shape_type ew_u; \ ew_u.value = (d); \ (ix0) = ew_u.parts.msw; \ (ix1) = ew_u.parts.lsw; \ } while (0) /* Get the more significant 32 bit int from a double. */ #ifndef GET_HIGH_WORD # define GET_HIGH_WORD(i,d) \ do { \ ieee_double_shape_type gh_u; \ gh_u.value = (d); \ (i) = gh_u.parts.msw; \ } while (0) #endif /* Get the less significant 32 bit int from a double. */ #ifndef GET_LOW_WORD # define GET_LOW_WORD(i,d) \ do { \ ieee_double_shape_type gl_u; \ gl_u.value = (d); \ (i) = gl_u.parts.lsw; \ } while (0) #endif /* Get all in one, efficient on 64-bit machines. */ #ifndef EXTRACT_WORDS64 # define EXTRACT_WORDS64(i,d) \ do { \ ieee_double_shape_type gh_u; \ gh_u.value = (d); \ (i) = gh_u.word; \ } while (0) #endif /* Set a double from two 32 bit ints. */ #ifndef INSERT_WORDS # define INSERT_WORDS(d,ix0,ix1) \ do { \ ieee_double_shape_type iw_u; \ iw_u.parts.msw = (ix0); \ iw_u.parts.lsw = (ix1); \ (d) = iw_u.value; \ } while (0) #endif /* Get all in one, efficient on 64-bit machines. */ #ifndef INSERT_WORDS64 # define INSERT_WORDS64(d,i) \ do { \ ieee_double_shape_type iw_u; \ iw_u.word = (i); \ (d) = iw_u.value; \ } while (0) #endif /* Set the more significant 32 bits of a double from an int. */ #ifndef SET_HIGH_WORD #define SET_HIGH_WORD(d,v) \ do { \ ieee_double_shape_type sh_u; \ sh_u.value = (d); \ sh_u.parts.msw = (v); \ (d) = sh_u.value; \ } while (0) #endif /* Set the less significant 32 bits of a double from an int. */ #ifndef SET_LOW_WORD # define SET_LOW_WORD(d,v) \ do { \ ieee_double_shape_type sl_u; \ sl_u.value = (d); \ sl_u.parts.lsw = (v); \ (d) = sl_u.value; \ } while (0) #endif /* 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 /* We need to guarantee an expansion of name when building ldbl-128 files as another type (e.g _Float128). */ #define mathx_hidden_def(name) hidden_def(name) /* Get long double macros from a separate header. */ #include /* Include function declarations for each floating-point. */ #define _Mdouble_ double #define _MSUF_ #include #undef _MSUF_ #undef _Mdouble_ #define _Mdouble_ float #define _MSUF_ f #define __MATH_DECLARING_FLOAT #include #undef __MATH_DECLARING_FLOAT #undef _MSUF_ #undef _Mdouble_ #define _Mdouble_ long double #define _MSUF_ l #define __MATH_DECLARING_LONG_DOUBLE #include #undef __MATH_DECLARING_LONG_DOUBLE #undef _MSUF_ #undef _Mdouble_ #if __HAVE_DISTINCT_FLOAT128 # define _Mdouble_ _Float128 # define _MSUF_ f128 # define __MATH_DECLARING_FLOATN # include # undef __MATH_DECLARING_FLOATN # undef _MSUF_ # undef _Mdouble_ #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 /* Prototypes for functions of the IBM Accurate Mathematical Library. */ extern double __exp1 (double __x, double __xx); extern double __sin (double __x); extern double __cos (double __x); extern int __branred (double __x, double *__a, double *__aa); extern void __doasin (double __x, double __dx, double __v[]); extern void __dubsin (double __x, double __dx, double __v[]); extern void __dubcos (double __x, double __dx, double __v[]); extern double __sin32 (double __x, double __res, double __res1); extern double __cos32 (double __x, double __res, double __res1); extern double __mpsin (double __x, double __dx, bool __range_reduce); extern double __mpcos (double __x, double __dx, bool __range_reduce); extern void __docos (double __x, double __dx, double __v[]); #include #endif /* _MATH_PRIVATE_H_ */