/* * ==================================================== * 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 * $Id: math_private.h,v 1.18 2003/08/28 00:10:15 drepper Exp $ */ #ifndef _MATH_PRIVATE_H_ #define _MATH_PRIVATE_H_ #include #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 { u_int32_t msw; u_int32_t lsw; } parts; } ieee_double_shape_type; #endif #if __FLOAT_WORD_ORDER == LITTLE_ENDIAN typedef union { double value; struct { u_int32_t lsw; u_int32_t msw; } parts; } 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. */ #define GET_HIGH_WORD(i,d) \ do { \ ieee_double_shape_type gh_u; \ gh_u.value = (d); \ (i) = gh_u.parts.msw; \ } while (0) /* Get the less significant 32 bit int from a double. */ #define GET_LOW_WORD(i,d) \ do { \ ieee_double_shape_type gl_u; \ gl_u.value = (d); \ (i) = gl_u.parts.lsw; \ } while (0) /* Set a double from two 32 bit ints. */ #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) /* Set the more significant 32 bits of a double from an int. */ #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) /* Set the less significant 32 bits of a double from an int. */ #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) /* A union which permits us to convert between a float and a 32 bit int. */ typedef union { float value; u_int32_t word; } ieee_float_shape_type; /* Get a 32 bit int from a float. */ #define GET_FLOAT_WORD(i,d) \ do { \ ieee_float_shape_type gf_u; \ gf_u.value = (d); \ (i) = gf_u.word; \ } while (0) /* Set a float from a 32 bit int. */ #define SET_FLOAT_WORD(d,i) \ do { \ ieee_float_shape_type sf_u; \ sf_u.word = (i); \ (d) = sf_u.value; \ } while (0) /* Get long double macros from a separate header. */ #include /* ieee style elementary functions */ extern double __ieee754_sqrt (double); extern double __ieee754_acos (double); extern double __ieee754_acosh (double); extern double __ieee754_log (double); extern double __ieee754_atanh (double); extern double __ieee754_asin (double); extern double __ieee754_atan2 (double,double); extern double __ieee754_exp (double); extern double __ieee754_exp2 (double); extern double __ieee754_exp10 (double); extern double __ieee754_cosh (double); extern double __ieee754_fmod (double,double); extern double __ieee754_pow (double,double); extern double __ieee754_lgamma_r (double,int *); extern double __ieee754_gamma_r (double,int *); extern double __ieee754_lgamma (double); extern double __ieee754_gamma (double); extern double __ieee754_log10 (double); extern double __ieee754_log2 (double); extern double __ieee754_sinh (double); extern double __ieee754_hypot (double,double); extern double __ieee754_j0 (double); extern double __ieee754_j1 (double); extern double __ieee754_y0 (double); extern double __ieee754_y1 (double); extern double __ieee754_jn (int,double); extern double __ieee754_yn (int,double); extern double __ieee754_remainder (double,double); extern int32_t __ieee754_rem_pio2 (double,double*); extern double __ieee754_scalb (double,double); /* fdlibm kernel function */ extern double __kernel_standard (double,double,int); extern double __kernel_sin (double,double,int); extern double __kernel_cos (double,double); extern double __kernel_tan (double,double,int); extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*); /* internal functions. */ extern double __copysign (double x, double __y); /* ieee style elementary float functions */ extern float __ieee754_sqrtf (float); extern float __ieee754_acosf (float); extern float __ieee754_acoshf (float); extern float __ieee754_logf (float); extern float __ieee754_atanhf (float); extern float __ieee754_asinf (float); extern float __ieee754_atan2f (float,float); extern float __ieee754_expf (float); extern float __ieee754_exp2f (float); extern float __ieee754_exp10f (float); extern float __ieee754_coshf (float); extern float __ieee754_fmodf (float,float); extern float __ieee754_powf (float,float); extern float __ieee754_lgammaf_r (float,int *); extern float __ieee754_gammaf_r (float,int *); extern float __ieee754_lgammaf (float); extern float __ieee754_gammaf (float); extern float __ieee754_log10f (float); extern float __ieee754_log2f (float); extern float __ieee754_sinhf (float); extern float __ieee754_hypotf (float,float); extern float __ieee754_j0f (float); extern float __ieee754_j1f (float); extern float __ieee754_y0f (float); extern float __ieee754_y1f (float); extern float __ieee754_jnf (int,float); extern float __ieee754_ynf (int,float); extern float __ieee754_remainderf (float,float); extern int32_t __ieee754_rem_pio2f (float,float*); extern float __ieee754_scalbf (float,float); /* float versions of fdlibm kernel functions */ extern float __kernel_sinf (float,float,int); extern float __kernel_cosf (float,float); extern float __kernel_tanf (float,float,int); extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*); /* internal functions. */ extern float __copysignf (float x, float __y); /* ieee style elementary long double functions */ extern long double __ieee754_sqrtl (long double); extern long double __ieee754_acosl (long double); extern long double __ieee754_acoshl (long double); extern long double __ieee754_logl (long double); extern long double __ieee754_atanhl (long double); extern long double __ieee754_asinl (long double); extern long double __ieee754_atan2l (long double,long double); extern long double __ieee754_expl (long double); extern long double __ieee754_exp2l (long double); extern long double __ieee754_exp10l (long double); extern long double __ieee754_coshl (long double); extern long double __ieee754_fmodl (long double,long double); extern long double __ieee754_powl (long double,long double); extern long double __ieee754_lgammal_r (long double,int *); extern long double __ieee754_gammal_r (long double,int *); extern long double __ieee754_lgammal (long double); extern long double __ieee754_gammal (long double); extern long double __ieee754_log10l (long double); extern long double __ieee754_log2l (long double); extern long double __ieee754_sinhl (long double); extern long double __ieee754_hypotl (long double,long double); extern long double __ieee754_j0l (long double); extern long double __ieee754_j1l (long double); extern long double __ieee754_y0l (long double); extern long double __ieee754_y1l (long double); extern long double __ieee754_jnl (int,long double); extern long double __ieee754_ynl (int,long double); extern long double __ieee754_remainderl (long double,long double); extern int __ieee754_rem_pio2l (long double,long double*); extern long double __ieee754_scalbl (long double,long double); /* long double versions of fdlibm kernel functions */ extern long double __kernel_sinl (long double,long double,int); extern long double __kernel_cosl (long double,long double); extern long double __kernel_tanl (long double,long double,int); extern void __kernel_sincosl (long double,long double, long double *,long double *, int); extern int __kernel_rem_pio2l (long double*,long double*,int,int, int,const int*); #ifndef NO_LONG_DOUBLE /* prototypes required to compile the ldbl-96 support without warnings */ extern int __finitel (long double); extern int __ilogbl (long double); extern int __isinfl (long double); extern int __isnanl (long double); extern long double __atanl (long double); extern long double __copysignl (long double, long double); extern long double __expm1l (long double); extern long double __floorl (long double); extern long double __frexpl (long double, int *); extern long double __ldexpl (long double, int); extern long double __log1pl (long double); extern long double __nanl (const char *); extern long double __rintl (long double); extern long double __scalbnl (long double, int); extern long double __sqrtl (long double x); extern long double fabsl (long double x); extern void __sincosl (long double, long double *, long double *); extern long double __logbl (long double x); extern long double __significandl (long double x); #endif /* Prototypes for functions of the IBM Accurate Mathematical Library. */ extern double __exp1 (double __x, double __xx, double __error); 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 __halfulp (double __x, double __y); 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); extern double __mpcos (double __x, double __dx); extern double __mpsin1 (double __x); extern double __mpcos1 (double __x); extern double __slowexp (double __x); extern double __slowpow (double __x, double __y, double __z); extern void __docos (double __x, double __dx, double __v[]); #endif /* _MATH_PRIVATE_H_ */