/* * ==================================================== * 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 1.3 2004/02/09 07:10:38 andersen Exp $ */ #ifndef _MATH_PRIVATE_H_ #define _MATH_PRIVATE_H_ #include <endian.h> #include <sys/types.h> /* 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. */ /* * Math on arm is special: * For FPA, float words are always big-endian. * For VFP, floats words follow the memory system mode. */ #if (__BYTE_ORDER == __BIG_ENDIAN) || \ (!defined(__VFP_FP__) && (defined(__arm__) || defined(__thumb__))) typedef union { double value; struct { u_int32_t msw; u_int32_t lsw; } parts; } ieee_double_shape_type; #else 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) /* ieee style elementary functions */ extern double __ieee754_sqrt __P((double)); extern double __ieee754_acos __P((double)); extern double __ieee754_acosh __P((double)); extern double __ieee754_log __P((double)); extern double __ieee754_atanh __P((double)); extern double __ieee754_asin __P((double)); extern double __ieee754_atan2 __P((double,double)); extern double __ieee754_exp __P((double)); extern double __ieee754_cosh __P((double)); extern double __ieee754_fmod __P((double,double)); extern double __ieee754_pow __P((double,double)); extern double __ieee754_lgamma_r __P((double,int *)); extern double __ieee754_gamma_r __P((double,int *)); extern double __ieee754_lgamma __P((double)); extern double __ieee754_gamma __P((double)); extern double __ieee754_log10 __P((double)); extern double __ieee754_sinh __P((double)); extern double __ieee754_hypot __P((double,double)); extern double __ieee754_j0 __P((double)); extern double __ieee754_j1 __P((double)); extern double __ieee754_y0 __P((double)); extern double __ieee754_y1 __P((double)); extern double __ieee754_jn __P((int,double)); extern double __ieee754_yn __P((int,double)); extern double __ieee754_remainder __P((double,double)); extern int __ieee754_rem_pio2 __P((double,double*)); #if defined(_SCALB_INT) extern double __ieee754_scalb __P((double,int)); #else extern double __ieee754_scalb __P((double,double)); #endif /* fdlibm kernel function */ extern double __kernel_standard __P((double,double,int)) attribute_hidden; extern double __kernel_sin __P((double,double,int)) attribute_hidden; extern double __kernel_cos __P((double,double)) attribute_hidden; extern double __kernel_tan __P((double,double,int)) attribute_hidden; extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)) attribute_hidden; /* ieee style elementary float functions */ extern float __ieee754_sqrtf __P((float)); extern float __ieee754_acosf __P((float)); extern float __ieee754_acoshf __P((float)); extern float __ieee754_logf __P((float)); extern float __ieee754_atanhf __P((float)); extern float __ieee754_asinf __P((float)); extern float __ieee754_atan2f __P((float,float)); extern float __ieee754_expf __P((float)); extern float __ieee754_coshf __P((float)); extern float __ieee754_fmodf __P((float,float)); extern float __ieee754_powf __P((float,float)); extern float __ieee754_lgammaf_r __P((float,int *)); extern float __ieee754_gammaf_r __P((float,int *)); extern float __ieee754_lgammaf __P((float)); extern float __ieee754_gammaf __P((float)); extern float __ieee754_log10f __P((float)); extern float __ieee754_sinhf __P((float)); extern float __ieee754_hypotf __P((float,float)); extern float __ieee754_j0f __P((float)); extern float __ieee754_j1f __P((float)); extern float __ieee754_y0f __P((float)); extern float __ieee754_y1f __P((float)); extern float __ieee754_jnf __P((int,float)); extern float __ieee754_ynf __P((int,float)); extern float __ieee754_remainderf __P((float,float)); extern int __ieee754_rem_pio2f __P((float,float*)); extern float __ieee754_scalbf __P((float,float)); /* float versions of fdlibm kernel functions */ extern float __kernel_sinf __P((float,float,int)); extern float __kernel_cosf __P((float,float)); extern float __kernel_tanf __P((float,float,int)); extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*)); #endif /* _MATH_PRIVATE_H_ */