| |
| /* @(#)fdlibm.h 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993, 2000 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. |
| * ==================================================== |
| */ |
| |
| |
| #include <config.h> |
| #include <stdlib.h> |
| |
| /* GCJ LOCAL: Include files. */ |
| #include "ieeefp.h" |
| |
| #include "mprec.h" |
| |
| /* CYGNUS LOCAL: Default to XOPEN_MODE. */ |
| #define _XOPEN_MODE |
| |
| #ifdef __P |
| #undef __P |
| #endif |
| |
| #ifdef __STDC__ |
| #define __P(p) p |
| #else |
| #define __P(p) () |
| #endif |
| |
| #ifndef HUGE |
| #define HUGE ((float)3.40282346638528860e+38) |
| #endif |
| |
| /* |
| * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> |
| * (one may replace the following line by "#include <values.h>") |
| */ |
| |
| #define X_TLOSS 1.41484755040568800000e+16 |
| |
| /* These typedefs are true for the targets running Java. */ |
| |
| #define _IEEE_LIBM |
| |
| #ifdef __cplusplus |
| extern "C" { |
| #endif |
| |
| /* |
| * ANSI/POSIX |
| */ |
| extern double acos __P((double)); |
| extern double asin __P((double)); |
| extern double atan __P((double)); |
| extern double atan2 __P((double, double)); |
| extern double cos __P((double)); |
| extern double sin __P((double)); |
| extern double tan __P((double)); |
| |
| extern double cosh __P((double)); |
| extern double sinh __P((double)); |
| extern double tanh __P((double)); |
| |
| extern double exp __P((double)); |
| extern double frexp __P((double, int *)); |
| extern double ldexp __P((double, int)); |
| extern double log __P((double)); |
| extern double log10 __P((double)); |
| extern double modf __P((double, double *)); |
| |
| extern double pow __P((double, double)); |
| extern double sqrt __P((double)); |
| |
| extern double ceil __P((double)); |
| extern double fabs __P((double)); |
| extern double floor __P((double)); |
| extern double fmod __P((double, double)); |
| |
| extern double erf __P((double)); |
| extern double erfc __P((double)); |
| extern double gamma __P((double)); |
| extern double hypot __P((double, double)); |
| extern int isnan __P((double)); |
| extern int finite __P((double)); |
| extern double j0 __P((double)); |
| extern double j1 __P((double)); |
| extern double jn __P((int, double)); |
| extern double lgamma __P((double)); |
| extern double y0 __P((double)); |
| extern double y1 __P((double)); |
| extern double yn __P((int, double)); |
| |
| extern double acosh __P((double)); |
| extern double asinh __P((double)); |
| extern double atanh __P((double)); |
| extern double cbrt __P((double)); |
| extern double logb __P((double)); |
| extern double nextafter __P((double, double)); |
| extern double remainder __P((double, double)); |
| |
| /* Functions that are not documented, and are not in <math.h>. */ |
| |
| extern double logb __P((double)); |
| #ifdef _SCALB_INT |
| extern double scalb __P((double, int)); |
| #else |
| extern double scalb __P((double, double)); |
| #endif |
| extern double significand __P((double)); |
| |
| /* 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_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 int32_t __ieee754_rem_pio2 __P((double,double*)); |
| #ifdef _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)); |
| extern double __kernel_sin __P((double,double,int)); |
| extern double __kernel_cos __P((double,double)); |
| extern double __kernel_tan __P((double,double,int)); |
| extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int32_t*)); |
| |
| /* Undocumented float functions. */ |
| extern float logbf __P((float)); |
| #ifdef _SCALB_INT |
| extern float scalbf __P((float, int)); |
| #else |
| extern float scalbf __P((float, float)); |
| #endif |
| extern float significandf __P((float)); |
| |
| /* |
| * Functions callable from C, intended to support IEEE arithmetic. |
| */ |
| extern double copysign __P((double, double)); |
| extern int ilogb __P((double)); |
| extern double rint __P((double)); |
| extern float rintf __P((float)); |
| extern double scalbn __P((double, int)); |
| |
| /* 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_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 int32_t __ieee754_rem_pio2f __P((float,float*)); |
| #ifdef _SCALB_INT |
| extern float __ieee754_scalbf __P((float,int)); |
| #else |
| extern float __ieee754_scalbf __P((float,float)); |
| #endif |
| |
| /* 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 int32_t*)); |
| |
| /* The original 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. */ |
| |
| #ifndef __IEEE_BIG_ENDIAN |
| #ifndef __IEEE_LITTLE_ENDIAN |
| #error Must define endianness |
| #endif |
| #endif |
| |
| /* A union which permits us to convert between a double and two 32 bit |
| ints. */ |
| |
| #ifdef __IEEE_BIG_ENDIAN |
| |
| typedef union |
| { |
| double value; |
| struct |
| { |
| uint32_t msw; |
| uint32_t lsw; |
| } parts; |
| } ieee_double_shape_type; |
| |
| #endif |
| |
| #ifdef __IEEE_LITTLE_ENDIAN |
| |
| typedef union |
| { |
| double value; |
| struct |
| { |
| uint32_t lsw; |
| uint32_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; |
| uint32_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) |
| |
| #ifdef __cplusplus |
| } |
| #endif |
| |
