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Diffstat (limited to 'sysdeps/generic/math_private.h')
| -rw-r--r-- | sysdeps/generic/math_private.h | 658 |
1 files changed, 0 insertions, 658 deletions
diff --git a/sysdeps/generic/math_private.h b/sysdeps/generic/math_private.h deleted file mode 100644 index 6ea5e25e5a..0000000000 --- a/sysdeps/generic/math_private.h +++ /dev/null @@ -1,658 +0,0 @@ -/* - * ==================================================== - * 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 <endian.h> -#include <stdint.h> -#include <sys/types.h> -#include <fenv.h> -#include <float.h> -#include <get-rounding-mode.h> - -/* Gather machine dependent _Floatn support. */ -#include <bits/floatn.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. */ - -#if __FLOAT_WORD_ORDER == __BIG_ENDIAN - -typedef union -{ - double value; - struct - { - u_int32_t msw; - u_int32_t lsw; - } parts; - uint64_t word; -} 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; - 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; - u_int32_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 <math_ldbl.h> - -/* Include function declarations for each floating-point. */ -#define _Mdouble_ double -#define _MSUF_ -#include <math_private_calls.h> -#undef _MSUF_ -#undef _Mdouble_ - -#define _Mdouble_ float -#define _MSUF_ f -#define __MATH_DECLARING_FLOAT -#include <math_private_calls.h> -#undef __MATH_DECLARING_FLOAT -#undef _MSUF_ -#undef _Mdouble_ - -#define _Mdouble_ long double -#define _MSUF_ l -#define __MATH_DECLARING_LONG_DOUBLE -#include <math_private_calls.h> -#undef __MATH_DECLARING_LONG_DOUBLE -#undef _MSUF_ -#undef _Mdouble_ - -#if __HAVE_DISTINCT_FLOAT128 -# define _Mdouble_ _Float128 -# define _MSUF_ f128 -# define __MATH_DECLARING_FLOATN -# include <math_private_calls.h> -# 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 <ieee754_float128.h> -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 - - - -/* fdlibm kernel function */ -extern double __kernel_standard (double,double,int); -extern float __kernel_standard_f (float,float,int); -extern long double __kernel_standard_l (long double,long double,int); - -/* 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, bool __range_reduce); -extern double __mpcos (double __x, double __dx, bool __range_reduce); -extern double __slowexp (double __x); -extern double __slowpow (double __x, double __y, double __z); -extern void __docos (double __x, double __dx, double __v[]); - -#ifndef math_opt_barrier -# define math_opt_barrier(x) \ -({ __typeof (x) __x = (x); __asm ("" : "+m" (__x)); __x; }) -# define math_force_eval(x) \ -({ __typeof (x) __x = (x); __asm __volatile__ ("" : : "m" (__x)); }) -#endif - -/* math_narrow_eval reduces its floating-point argument to the range - and precision of its semantic type. (The original evaluation may - still occur with excess range and precision, so the result may be - affected by double rounding.) */ -#if FLT_EVAL_METHOD == 0 -# define math_narrow_eval(x) (x) -#else -# if FLT_EVAL_METHOD == 1 -# define excess_precision(type) __builtin_types_compatible_p (type, float) -# else -# define excess_precision(type) (__builtin_types_compatible_p (type, float) \ - || __builtin_types_compatible_p (type, \ - double)) -# endif -# define math_narrow_eval(x) \ - ({ \ - __typeof (x) math_narrow_eval_tmp = (x); \ - if (excess_precision (__typeof (math_narrow_eval_tmp))) \ - __asm__ ("" : "+m" (math_narrow_eval_tmp)); \ - math_narrow_eval_tmp; \ - }) -#endif - -#if __HAVE_DISTINCT_FLOAT128 -# define __EXPR_FLT128(x, yes, no) \ - __builtin_choose_expr (__builtin_types_compatible_p \ - (__typeof (x), long double), no, yes) -#else -# define __EXPR_FLT128(x, yes, no) no -#endif - - -#define fabs_tg(x) __MATH_TG ((x), (__typeof (x)) __builtin_fabs, (x)) - -#define min_of_type(type) __builtin_choose_expr \ - (__builtin_types_compatible_p (type, float), \ - FLT_MIN, \ - __builtin_choose_expr \ - (__builtin_types_compatible_p (type, double), \ - DBL_MIN, \ - __EXPR_FLT128 (x, FLT128_MIN, LDBL_MIN))) - -/* If X (which is not a NaN) is subnormal, force an underflow - exception. */ -#define math_check_force_underflow(x) \ - do \ - { \ - __typeof (x) force_underflow_tmp = (x); \ - if (fabs_tg (force_underflow_tmp) \ - < min_of_type (__typeof (force_underflow_tmp))) \ - { \ - __typeof (force_underflow_tmp) force_underflow_tmp2 \ - = force_underflow_tmp * force_underflow_tmp; \ - math_force_eval (force_underflow_tmp2); \ - } \ - } \ - while (0) -/* Likewise, but X is also known to be nonnegative. */ -#define math_check_force_underflow_nonneg(x) \ - do \ - { \ - __typeof (x) force_underflow_tmp = (x); \ - if (force_underflow_tmp \ - < min_of_type (__typeof (force_underflow_tmp))) \ - { \ - __typeof (force_underflow_tmp) force_underflow_tmp2 \ - = force_underflow_tmp * force_underflow_tmp; \ - math_force_eval (force_underflow_tmp2); \ - } \ - } \ - while (0) -/* Likewise, for both real and imaginary parts of a complex - result. */ -#define math_check_force_underflow_complex(x) \ - do \ - { \ - __typeof (x) force_underflow_complex_tmp = (x); \ - math_check_force_underflow (__real__ force_underflow_complex_tmp); \ - math_check_force_underflow (__imag__ force_underflow_complex_tmp); \ - } \ - while (0) - -/* The standards only specify one variant of the fenv.h interfaces. - But at least for some architectures we can be more efficient if we - know what operations are going to be performed. Therefore we - define additional interfaces. By default they refer to the normal - interfaces. */ - -static __always_inline void -default_libc_feholdexcept (fenv_t *e) -{ - (void) __feholdexcept (e); -} - -#ifndef libc_feholdexcept -# define libc_feholdexcept default_libc_feholdexcept -#endif -#ifndef libc_feholdexceptf -# define libc_feholdexceptf default_libc_feholdexcept -#endif -#ifndef libc_feholdexceptl -# define libc_feholdexceptl default_libc_feholdexcept -#endif - -static __always_inline void -default_libc_fesetround (int r) -{ - (void) __fesetround (r); -} - -#ifndef libc_fesetround -# define libc_fesetround default_libc_fesetround -#endif -#ifndef libc_fesetroundf -# define libc_fesetroundf default_libc_fesetround -#endif -#ifndef libc_fesetroundl -# define libc_fesetroundl default_libc_fesetround -#endif - -static __always_inline void -default_libc_feholdexcept_setround (fenv_t *e, int r) -{ - __feholdexcept (e); - __fesetround (r); -} - -#ifndef libc_feholdexcept_setround -# define libc_feholdexcept_setround default_libc_feholdexcept_setround -#endif -#ifndef libc_feholdexcept_setroundf -# define libc_feholdexcept_setroundf default_libc_feholdexcept_setround -#endif -#ifndef libc_feholdexcept_setroundl -# define libc_feholdexcept_setroundl default_libc_feholdexcept_setround -#endif - -#ifndef libc_feholdsetround_53bit -# define libc_feholdsetround_53bit libc_feholdsetround -#endif - -#ifndef libc_fetestexcept -# define libc_fetestexcept fetestexcept -#endif -#ifndef libc_fetestexceptf -# define libc_fetestexceptf fetestexcept -#endif -#ifndef libc_fetestexceptl -# define libc_fetestexceptl fetestexcept -#endif - -static __always_inline void -default_libc_fesetenv (fenv_t *e) -{ - (void) __fesetenv (e); -} - -#ifndef libc_fesetenv -# define libc_fesetenv default_libc_fesetenv -#endif -#ifndef libc_fesetenvf -# define libc_fesetenvf default_libc_fesetenv -#endif -#ifndef libc_fesetenvl -# define libc_fesetenvl default_libc_fesetenv -#endif - -static __always_inline void -default_libc_feupdateenv (fenv_t *e) -{ - (void) __feupdateenv (e); -} - -#ifndef libc_feupdateenv -# define libc_feupdateenv default_libc_feupdateenv -#endif -#ifndef libc_feupdateenvf -# define libc_feupdateenvf default_libc_feupdateenv -#endif -#ifndef libc_feupdateenvl -# define libc_feupdateenvl default_libc_feupdateenv -#endif - -#ifndef libc_feresetround_53bit -# define libc_feresetround_53bit libc_feresetround -#endif - -static __always_inline int -default_libc_feupdateenv_test (fenv_t *e, int ex) -{ - int ret = fetestexcept (ex); - __feupdateenv (e); - return ret; -} - -#ifndef libc_feupdateenv_test -# define libc_feupdateenv_test default_libc_feupdateenv_test -#endif -#ifndef libc_feupdateenv_testf -# define libc_feupdateenv_testf default_libc_feupdateenv_test -#endif -#ifndef libc_feupdateenv_testl -# define libc_feupdateenv_testl default_libc_feupdateenv_test -#endif - -/* Save and set the rounding mode. The use of fenv_t to store the old mode - allows a target-specific version of this function to avoid converting the - rounding mode from the fpu format. By default we have no choice but to - manipulate the entire env. */ - -#ifndef libc_feholdsetround -# define libc_feholdsetround libc_feholdexcept_setround -#endif -#ifndef libc_feholdsetroundf -# define libc_feholdsetroundf libc_feholdexcept_setroundf -#endif -#ifndef libc_feholdsetroundl -# define libc_feholdsetroundl libc_feholdexcept_setroundl -#endif - -/* ... and the reverse. */ - -#ifndef libc_feresetround -# define libc_feresetround libc_feupdateenv -#endif -#ifndef libc_feresetroundf -# define libc_feresetroundf libc_feupdateenvf -#endif -#ifndef libc_feresetroundl -# define libc_feresetroundl libc_feupdateenvl -#endif - -/* ... and a version that may also discard exceptions. */ - -#ifndef libc_feresetround_noex -# define libc_feresetround_noex libc_fesetenv -#endif -#ifndef libc_feresetround_noexf -# define libc_feresetround_noexf libc_fesetenvf -#endif -#ifndef libc_feresetround_noexl -# define libc_feresetround_noexl libc_fesetenvl -#endif - -#ifndef HAVE_RM_CTX -# define HAVE_RM_CTX 0 -#endif - -#if HAVE_RM_CTX -/* Set/Restore Rounding Modes only when necessary. If defined, these functions - set/restore floating point state only if the state needed within the lexical - block is different from the current state. This saves a lot of time when - the floating point unit is much slower than the fixed point units. */ - -# ifndef libc_feholdsetround_noex_ctx -# define libc_feholdsetround_noex_ctx libc_feholdsetround_ctx -# endif -# ifndef libc_feholdsetround_noexf_ctx -# define libc_feholdsetround_noexf_ctx libc_feholdsetroundf_ctx -# endif -# ifndef libc_feholdsetround_noexl_ctx -# define libc_feholdsetround_noexl_ctx libc_feholdsetroundl_ctx -# endif - -# ifndef libc_feresetround_noex_ctx -# define libc_feresetround_noex_ctx libc_fesetenv_ctx -# endif -# ifndef libc_feresetround_noexf_ctx -# define libc_feresetround_noexf_ctx libc_fesetenvf_ctx -# endif -# ifndef libc_feresetround_noexl_ctx -# define libc_feresetround_noexl_ctx libc_fesetenvl_ctx -# endif - -#else - -/* Default implementation using standard fenv functions. - Avoid unnecessary rounding mode changes by first checking the - current rounding mode. Note the use of __glibc_unlikely is - important for performance. */ - -static __always_inline void -libc_feholdsetround_ctx (struct rm_ctx *ctx, int round) -{ - ctx->updated_status = false; - - /* Update rounding mode only if different. */ - if (__glibc_unlikely (round != get_rounding_mode ())) - { - ctx->updated_status = true; - __fegetenv (&ctx->env); - __fesetround (round); - } -} - -static __always_inline void -libc_feresetround_ctx (struct rm_ctx *ctx) -{ - /* Restore the rounding mode if updated. */ - if (__glibc_unlikely (ctx->updated_status)) - __feupdateenv (&ctx->env); -} - -static __always_inline void -libc_feholdsetround_noex_ctx (struct rm_ctx *ctx, int round) -{ - /* Save exception flags and rounding mode. */ - __fegetenv (&ctx->env); - - /* Update rounding mode only if different. */ - if (__glibc_unlikely (round != get_rounding_mode ())) - __fesetround (round); -} - -static __always_inline void -libc_feresetround_noex_ctx (struct rm_ctx *ctx) -{ - /* Restore exception flags and rounding mode. */ - __fesetenv (&ctx->env); -} - -# define libc_feholdsetroundf_ctx libc_feholdsetround_ctx -# define libc_feholdsetroundl_ctx libc_feholdsetround_ctx -# define libc_feresetroundf_ctx libc_feresetround_ctx -# define libc_feresetroundl_ctx libc_feresetround_ctx - -# define libc_feholdsetround_noexf_ctx libc_feholdsetround_noex_ctx -# define libc_feholdsetround_noexl_ctx libc_feholdsetround_noex_ctx -# define libc_feresetround_noexf_ctx libc_feresetround_noex_ctx -# define libc_feresetround_noexl_ctx libc_feresetround_noex_ctx - -#endif - -#ifndef libc_feholdsetround_53bit_ctx -# define libc_feholdsetround_53bit_ctx libc_feholdsetround_ctx -#endif -#ifndef libc_feresetround_53bit_ctx -# define libc_feresetround_53bit_ctx libc_feresetround_ctx -#endif - -#define SET_RESTORE_ROUND_GENERIC(RM,ROUNDFUNC,CLEANUPFUNC) \ - struct rm_ctx ctx __attribute__((cleanup (CLEANUPFUNC ## _ctx))); \ - ROUNDFUNC ## _ctx (&ctx, (RM)) - -/* Set the rounding mode within a lexical block. Restore the rounding mode to - the value at the start of the block. The exception mode must be preserved. - Exceptions raised within the block must be set in the exception flags. - Non-stop mode may be enabled inside the block. */ - -#define SET_RESTORE_ROUND(RM) \ - SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround, libc_feresetround) -#define SET_RESTORE_ROUNDF(RM) \ - SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetroundf, libc_feresetroundf) -#define SET_RESTORE_ROUNDL(RM) \ - SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetroundl, libc_feresetroundl) - -/* Set the rounding mode within a lexical block. Restore the rounding mode to - the value at the start of the block. The exception mode must be preserved. - Exceptions raised within the block must be discarded, and exception flags - are restored to the value at the start of the block. - Non-stop mode may be enabled inside the block. */ - -#define SET_RESTORE_ROUND_NOEX(RM) \ - SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noex, \ - libc_feresetround_noex) -#define SET_RESTORE_ROUND_NOEXF(RM) \ - SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noexf, \ - libc_feresetround_noexf) -#define SET_RESTORE_ROUND_NOEXL(RM) \ - SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noexl, \ - libc_feresetround_noexl) - -/* Like SET_RESTORE_ROUND, but also set rounding precision to 53 bits. */ -#define SET_RESTORE_ROUND_53BIT(RM) \ - SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_53bit, \ - libc_feresetround_53bit) - -#endif /* _MATH_PRIVATE_H_ */ |