mirror of
https://sourceware.org/git/glibc.git
synced 2024-11-30 08:40:07 +00:00
69bf5f7547
1998-06-27 7:07 Richard Henderson <rth@cygnus.com> * math/atest-exp.c (exp_mpn, main): Cast to mp_limb_t appropriately. * math/atest-exp2.c (exp_mpn, main): Likewise. * math/atest-sincos.c (main): Likewise. * resolv/inet_addr.c (inet_aton): Check for 32-bit overflow. Move base handling away from strtoul. Always reset errno. * sysdeps/alpha/Makefile (elf): Kill -mno-fp-regs. * sysdeps/alpha/dl-machine.h (elf_machine_runtime_setup): Only set _dl_profile_map if _dl_name_match_p. (RTLD_START): Fix .prologue. Set __libc_stack_end. * sysdeps/alpha/elf/start.S: Pass sp as arg 7. Kill __data_start. * sysdeps/alpha/fpu/fraiseexcpt.c (feraiseexcept): Mark tmp as early-clobber. * sysdeps/libm-ieee754/e_exp10.c: Include "math_private.h". * sysdeps/libm-ieee754/e_exp10f.c: Likewise. * sysdeps/libm-ieee754/e_exp10l.c: Likewise.
621 lines
21 KiB
C
621 lines
21 KiB
C
/* Inline math functions for i387.
|
|
Copyright (C) 1995, 1996, 1997, 1998 Free Software Foundation, Inc.
|
|
This file is part of the GNU C Library.
|
|
Contributed by John C. Bowman <bowman@math.ualberta.ca>, 1995.
|
|
|
|
The GNU C Library is free software; you can redistribute it and/or
|
|
modify it under the terms of the GNU Library General Public License as
|
|
published by the Free Software Foundation; either version 2 of the
|
|
License, or (at your option) any later version.
|
|
|
|
The GNU C Library is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
|
Library General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Library General Public
|
|
License along with the GNU C Library; see the file COPYING.LIB. If not,
|
|
write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
|
|
Boston, MA 02111-1307, USA. */
|
|
|
|
#ifndef _MATH_H
|
|
# error "Never use <bits/mathinline.h> directly; include <math.h> instead."
|
|
#endif
|
|
|
|
#ifdef __cplusplus
|
|
# define __MATH_INLINE __inline
|
|
#else
|
|
# define __MATH_INLINE extern __inline
|
|
#endif
|
|
|
|
|
|
#if defined __USE_ISOC9X && defined __GNUC__ && __GNUC__ >= 2
|
|
/* ISO C 9X defines some macros to perform unordered comparisons. The
|
|
ix87 FPU supports this with special opcodes and we should use them.
|
|
These must not be inline functions since we have to be able to handle
|
|
all floating-point types. */
|
|
# ifdef __i686__
|
|
/* For the PentiumPro and more recent processors we can provide
|
|
better code. */
|
|
# define isgreater(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucomip %%st(1), %%st; seta %%al" \
|
|
: "=a" (__result) : "u" (y), "t" (x) : "cc", "st"); \
|
|
__result; })
|
|
# define isgreaterequal(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucomip %%st(1), %%st; setae %%al" \
|
|
: "=a" (__result) : "u" (y), "t" (x) : "cc", "st"); \
|
|
__result; })
|
|
|
|
# define isless(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucomip %%st(1), %%st; seta %%al" \
|
|
: "=a" (__result) : "u" (x), "t" (y) : "cc", "st"); \
|
|
__result; })
|
|
|
|
# define islessequal(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucomip %%st(1), %%st; setae %%al" \
|
|
: "=a" (__result) : "u" (x), "t" (y) : "cc", "st"); \
|
|
__result; })
|
|
|
|
# define islessgreater(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucomip %%st(1), %%st; setne %%al" \
|
|
: "=a" (__result) : "u" (y), "t" (x) : "cc", "st"); \
|
|
__result; })
|
|
|
|
# define isunordered(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucomip %%st(1), %%st; setp %%al" \
|
|
: "=a" (__result) : "u" (y), "t" (x) : "cc", "st"); \
|
|
__result; })
|
|
# else
|
|
/* This is the dumb, portable code for i386 and above. */
|
|
# define isgreater(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucompp; fnstsw; testb $0x45, %%ah; setz %%al" \
|
|
: "=a" (__result) : "u" (y), "t" (x) : "cc", "st", "st(1)"); \
|
|
__result; })
|
|
|
|
# define isgreaterequal(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucompp; fnstsw; testb $0x05, %%ah; setz %%al" \
|
|
: "=a" (__result) : "u" (y), "t" (x) : "cc", "st", "st(1)"); \
|
|
__result; })
|
|
|
|
# define isless(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucompp; fnstsw; testb $0x45, %%ah; setz %%al" \
|
|
: "=a" (__result) : "u" (x), "t" (y) : "cc", "st", "st(1)"); \
|
|
__result; })
|
|
|
|
# define islessequal(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucompp; fnstsw; testb $0x05, %%ah; setz %%al" \
|
|
: "=a" (__result) : "u" (x), "t" (y) : "cc", "st", "st(1)"); \
|
|
__result; })
|
|
|
|
# define islessgreater(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucompp; fnstsw; testb $0x44, %%ah; setz %%al" \
|
|
: "=a" (__result) : "u" (y), "t" (x) : "cc", "st", "st(1)"); \
|
|
__result; })
|
|
|
|
# define isunordered(x, y) \
|
|
({ register char __result; \
|
|
__asm__ ("fucompp; fnstsw; sahf; setp %%al" \
|
|
: "=a" (__result) : "u" (y), "t" (x) : "cc", "st", "st(1)"); \
|
|
__result; })
|
|
# endif /* __i686__ */
|
|
|
|
/* Test for negative number. Used in the signbit() macro. */
|
|
__MATH_INLINE int
|
|
__signbitf (float __x)
|
|
{
|
|
union { float __f; int __i; } __u = { __f: __x }; return __u.__i < 0;
|
|
}
|
|
__MATH_INLINE int
|
|
__signbit (double __x)
|
|
{
|
|
union { double __d; int __i[2]; } __u = { __d: __x }; return __u.__i[1] < 0;
|
|
}
|
|
__MATH_INLINE int
|
|
__signbitl (long double __x)
|
|
{
|
|
union { long double __l; int __i[3]; } __u = { __l: __x };
|
|
return (__u.__i[2] & 0x8000) != 0;
|
|
}
|
|
#endif
|
|
|
|
|
|
/* The gcc, version 2.7 or below, has problems with all this inlining
|
|
code. So disable it for this version of the compiler. */
|
|
#if defined __GNUC__ && (__GNUC__ > 2 || (__GNUC__ == 2 && __GNUC_MINOR__ > 7))
|
|
|
|
#if ((!defined __NO_MATH_INLINES || defined __LIBC_INTERNAL_MATH_INLINES) \
|
|
&& defined __OPTIMIZE__)
|
|
|
|
/* A macro to define float, double, and long double versions of various
|
|
math functions for the ix87 FPU. FUNC is the function name (which will
|
|
be suffixed with f and l for the float and long double version,
|
|
respectively). OP is the name of the FPU operation. */
|
|
|
|
#if defined __USE_MISC || defined __USE_ISOC9X
|
|
# define __inline_mathop(func, op) \
|
|
__inline_mathop_ (double, func, op) \
|
|
__inline_mathop_ (float, __CONCAT(func,f), op) \
|
|
__inline_mathop_ (long double, __CONCAT(func,l), op)
|
|
#else
|
|
# define __inline_mathop(func, op) \
|
|
__inline_mathop_ (double, func, op)
|
|
#endif
|
|
|
|
#define __inline_mathop_(float_type, func, op) \
|
|
__inline_mathop_decl_ (float_type, func, op, "0" (__x))
|
|
|
|
|
|
#if defined __USE_MISC || defined __USE_ISOC9X
|
|
# define __inline_mathop_decl(func, op, params...) \
|
|
__inline_mathop_decl_ (double, func, op, params) \
|
|
__inline_mathop_decl_ (float, __CONCAT(func,f), op, params) \
|
|
__inline_mathop_decl_ (long double, __CONCAT(func,l), op, params)
|
|
#else
|
|
# define __inline_mathop_decl(func, op, params...) \
|
|
__inline_mathop_decl_ (double, func, op, params)
|
|
#endif
|
|
|
|
#define __inline_mathop_decl_(float_type, func, op, params...) \
|
|
__MATH_INLINE float_type func (float_type); \
|
|
__MATH_INLINE float_type func (float_type __x) \
|
|
{ \
|
|
register float_type __result; \
|
|
__asm __volatile__ (op : "=t" (__result) : params); \
|
|
return __result; \
|
|
}
|
|
|
|
|
|
#if defined __USE_MISC || defined __USE_ISOC9X
|
|
# define __inline_mathcode(func, arg, code) \
|
|
__inline_mathcode_ (double, func, arg, code) \
|
|
__inline_mathcode_ (float, __CONCAT(func,f), arg, code) \
|
|
__inline_mathcode_ (long double, __CONCAT(func,l), arg, code)
|
|
# define __inline_mathcode2(func, arg1, arg2, code) \
|
|
__inline_mathcode2_ (double, func, arg1, arg2, code) \
|
|
__inline_mathcode2_ (float, __CONCAT(func,f), arg1, arg2, code) \
|
|
__inline_mathcode2_ (long double, __CONCAT(func,l), arg1, arg2, code)
|
|
# define __inline_mathcode3(func, arg1, arg2, arg3, code) \
|
|
__inline_mathcode3_ (double, func, arg1, arg2, arg3, code) \
|
|
__inline_mathcode3_ (float, __CONCAT(func,f), arg1, arg2, arg3, code) \
|
|
__inline_mathcode3_ (long double, __CONCAT(func,l), arg1, arg2, arg3, code)
|
|
#else
|
|
# define __inline_mathcode(func, arg, code) \
|
|
__inline_mathcode_ (double, func, (arg), code)
|
|
# define __inline_mathcode2(func, arg1, arg2, code) \
|
|
__inline_mathcode2_ (double, func, arg1, arg2, code)
|
|
# define __inline_mathcode3(func, arg1, arg2, arg3, code) \
|
|
__inline_mathcode3_ (double, func, arg1, arg2, arg3, code)
|
|
#endif
|
|
|
|
#define __inline_mathcode_(float_type, func, arg, code) \
|
|
__MATH_INLINE float_type func (float_type); \
|
|
__MATH_INLINE float_type func (float_type arg) \
|
|
{ \
|
|
code; \
|
|
}
|
|
|
|
#define __inline_mathcode2_(float_type, func, arg1, arg2, code) \
|
|
__MATH_INLINE float_type func (float_type, float_type); \
|
|
__MATH_INLINE float_type func (float_type arg1, float_type arg2) \
|
|
{ \
|
|
code; \
|
|
}
|
|
|
|
#define __inline_mathcode3_(float_type, func, arg1, arg2, arg3, code) \
|
|
__MATH_INLINE float_type func (float_type, float_type, float_type); \
|
|
__MATH_INLINE float_type func (float_type arg1, float_type arg2, \
|
|
float_type arg3) \
|
|
{ \
|
|
code; \
|
|
}
|
|
#endif
|
|
|
|
|
|
#if !defined __NO_MATH_INLINES && defined __OPTIMIZE__
|
|
/* Miscellaneous functions */
|
|
|
|
__inline_mathcode (__sgn, __x, \
|
|
return __x == 0.0 ? 0.0 : (__x > 0.0 ? 1.0 : -1.0))
|
|
|
|
__inline_mathcode (__pow2, __x, \
|
|
register long double __value; \
|
|
register long double __exponent; \
|
|
long long int __p = (long long int) __x; \
|
|
if (__x == (long double) __p) \
|
|
{ \
|
|
__asm __volatile__ \
|
|
("fscale" \
|
|
: "=t" (__value) : "0" (1.0), "u" (__x)); \
|
|
return __value; \
|
|
} \
|
|
__asm __volatile__ \
|
|
("fldl %%st(0)\n\t" \
|
|
"frndint # int(x)\n\t" \
|
|
"fxch\n\t" \
|
|
"fsub %%st(1) # fract(x)\n\t" \
|
|
"f2xm1 # 2^(fract(x)) - 1\n\t" \
|
|
: "=t" (__value), "=u" (__exponent) : "0" (__x)); \
|
|
__value += 1.0; \
|
|
__asm __volatile__ \
|
|
("fscale" \
|
|
: "=t" (__value) : "0" (__value), "u" (__exponent)); \
|
|
return __value)
|
|
|
|
#define __sincos_code \
|
|
register long double __cosr; \
|
|
register long double __sinr; \
|
|
__asm __volatile__ \
|
|
("fsincos\n\t" \
|
|
"fnstsw %%ax\n\t" \
|
|
"testl $0x400, %%eax\n\t" \
|
|
"jz 1f\n\t" \
|
|
"fldpi\n\t" \
|
|
"fadd %%st(0)\n\t" \
|
|
"fxch %%st(1)\n\t" \
|
|
"2: fprem1\n\t" \
|
|
"fnstsw %%ax\n\t" \
|
|
"testl $0x400, %%eax\n\t" \
|
|
"jnz 2b\n\t" \
|
|
"fstp %%st(1)\n\t" \
|
|
"fsincos\n\t" \
|
|
"1:" \
|
|
: "=t" (__cosr), "=u" (__sinr) : "0" (__x)); \
|
|
*__sinx = __sinr; \
|
|
*__cosx = __cosr
|
|
|
|
__MATH_INLINE void __sincos (double __x, double *__sinx, double *__cosx);
|
|
__MATH_INLINE void
|
|
__sincos (double __x, double *__sinx, double *__cosx)
|
|
{
|
|
__sincos_code;
|
|
}
|
|
|
|
__MATH_INLINE void __sincosf (float __x, float *__sinx, float *__cosx);
|
|
__MATH_INLINE void
|
|
__sincosf (float __x, float *__sinx, float *__cosx)
|
|
{
|
|
__sincos_code;
|
|
}
|
|
|
|
__MATH_INLINE void __sincosl (long double __x, long double *__sinx,
|
|
long double *__cosx);
|
|
__MATH_INLINE void
|
|
__sincosl (long double __x, long double *__sinx, long double *__cosx)
|
|
{
|
|
__sincos_code;
|
|
}
|
|
|
|
|
|
/* Optimized inline implementation, sometimes with reduced precision
|
|
and/or argument range. */
|
|
|
|
#define __expm1_code \
|
|
register long double __value; \
|
|
register long double __exponent; \
|
|
register long double __temp; \
|
|
__asm __volatile__ \
|
|
("fldl2e # e^x - 1 = 2^(x * log2(e)) - 1\n\t" \
|
|
"fmul %%st(1) # x * log2(e)\n\t" \
|
|
"fstl %%st(1)\n\t" \
|
|
"frndint # int(x * log2(e))\n\t" \
|
|
"fxch\n\t" \
|
|
"fsub %%st(1) # fract(x * log2(e))\n\t" \
|
|
"f2xm1 # 2^(fract(x * log2(e))) - 1\n\t" \
|
|
"fscale # 2^(x * log2(e)) - 2^(int(x * log2(e)))\n\t" \
|
|
: "=t" (__value), "=u" (__exponent) : "0" (__x)); \
|
|
__asm __volatile__ \
|
|
("fscale # 2^int(x * log2(e))\n\t" \
|
|
: "=t" (__temp) : "0" (1.0), "u" (__exponent)); \
|
|
__temp -= 1.0; \
|
|
return __temp + __value
|
|
__inline_mathcode_ (long double, __expm1l, __x, __expm1_code)
|
|
|
|
|
|
#define __exp_code \
|
|
register long double __value; \
|
|
register long double __exponent; \
|
|
__asm __volatile__ \
|
|
("fldl2e # e^x = 2^(x * log2(e))\n\t" \
|
|
"fmul %%st(1) # x * log2(e)\n\t" \
|
|
"fstl %%st(1)\n\t" \
|
|
"frndint # int(x * log2(e))\n\t" \
|
|
"fxch\n\t" \
|
|
"fsub %%st(1) # fract(x * log2(e))\n\t" \
|
|
"f2xm1 # 2^(fract(x * log2(e))) - 1\n\t" \
|
|
: "=t" (__value), "=u" (__exponent) : "0" (__x)); \
|
|
__value += 1.0; \
|
|
__asm __volatile__ \
|
|
("fscale" \
|
|
: "=t" (__value) : "0" (__value), "u" (__exponent)); \
|
|
return __value
|
|
__inline_mathcode (exp, __x, __exp_code)
|
|
__inline_mathcode_ (long double, __expl, __x, __exp_code)
|
|
|
|
|
|
__inline_mathcode (tan, __x, \
|
|
register long double __value; \
|
|
register long double __value2 __attribute__ ((__unused__)); \
|
|
__asm __volatile__ \
|
|
("fptan" \
|
|
: "=t" (__value2), "=u" (__value) : "0" (__x)); \
|
|
return __value)
|
|
|
|
|
|
#define __atan2_code \
|
|
register long double __value; \
|
|
__asm __volatile__ \
|
|
("fpatan\n\t" \
|
|
: "=t" (__value) : "0" (__x), "u" (__y) : "st(1)"); \
|
|
return __value
|
|
__inline_mathcode2 (atan2, __y, __x, __atan2_code)
|
|
__inline_mathcode2_ (long double, __atan2l, __y, __x, __atan2_code)
|
|
|
|
|
|
__inline_mathcode2 (fmod, __x, __y, \
|
|
register long double __value; \
|
|
__asm __volatile__ \
|
|
("1: fprem\n\t" \
|
|
"fnstsw %%ax\n\t" \
|
|
"sahf\n\t" \
|
|
"jp 1b" \
|
|
: "=t" (__value) : "0" (__x), "u" (__y) : "ax", "cc"); \
|
|
return __value)
|
|
|
|
|
|
__inline_mathcode2 (pow, __x, __y, \
|
|
register long double __value; \
|
|
register long double __exponent; \
|
|
long long int __p = (long long int) __y; \
|
|
if (__x == 0.0 && __y > 0.0) \
|
|
return 0.0; \
|
|
if (__y == (double) __p) \
|
|
{ \
|
|
long double __r = 1.0; \
|
|
if (__p == 0) \
|
|
return 1.0; \
|
|
if (__p < 0) \
|
|
{ \
|
|
__p = -__p; \
|
|
__x = 1.0 / __x; \
|
|
} \
|
|
while (1) \
|
|
{ \
|
|
if (__p & 1) \
|
|
__r *= __x; \
|
|
__p >>= 1; \
|
|
if (__p == 0) \
|
|
return __r; \
|
|
__x *= __x; \
|
|
} \
|
|
/* NOTREACHED */ \
|
|
} \
|
|
__asm __volatile__ \
|
|
("fyl2x" : "=t" (__value) : "0" (__x), "u" (1.0) : "st(1)"); \
|
|
__asm __volatile__ \
|
|
("fmul %%st(1) # y * log2(x)\n\t" \
|
|
"fst %%st(1)\n\t" \
|
|
"frndint # int(y * log2(x))\n\t" \
|
|
"fxch\n\t" \
|
|
"fsub %%st(1) # fract(y * log2(x))\n\t" \
|
|
"f2xm1 # 2^(fract(y * log2(x))) - 1\n\t" \
|
|
: "=t" (__value), "=u" (__exponent) : "0" (__y), "1" (__value)); \
|
|
__value += 1.0; \
|
|
__asm __volatile__ \
|
|
("fscale" \
|
|
: "=t" (__value) : "0" (__value), "u" (__exponent)); \
|
|
return __value)
|
|
|
|
|
|
__inline_mathop (sqrt, "fsqrt")
|
|
__inline_mathop_ (long double, __sqrtl, "fsqrt")
|
|
|
|
#if defined __GNUC__ && (__GNUC__ > 2 || __GNUC__ == 2 && __GNUC_MINOR__ >= 8)
|
|
__inline_mathcode_ (double, fabs, __x, return __builtin_fabs (__x))
|
|
__inline_mathcode_ (float, fabsf, __x, return __builtin_fabsf (__x))
|
|
__inline_mathcode_ (long double, fabsl, __x, return __builtin_fabsl (__x))
|
|
__inline_mathcode_ (long double, __fabsl, __x, return __builtin_fabsl (__x))
|
|
#else
|
|
__inline_mathop (fabs, "fabs")
|
|
__inline_mathop_ (long double, __fabsl, "fabs")
|
|
#endif
|
|
|
|
/* The argument range of this inline version is reduced. */
|
|
__inline_mathop (sin, "fsin")
|
|
/* The argument range of this inline version is reduced. */
|
|
__inline_mathop (cos, "fcos")
|
|
|
|
__inline_mathop (atan, "fld1; fpatan")
|
|
__inline_mathop (log, "fldln2; fxch; fyl2x")
|
|
__inline_mathop (log10, "fldlg2; fxch; fyl2x")
|
|
|
|
__inline_mathcode (asin, __x, return __atan2l (__x, __sqrtl (1.0 - __x * __x)))
|
|
__inline_mathcode (acos, __x, return __atan2l (__sqrtl (1.0 - __x * __x), __x))
|
|
|
|
__inline_mathcode_ (long double, __sgn1l, __x, return __x >= 0.0 ? 1.0 : -1.0)
|
|
|
|
|
|
/* The argument range of the inline version of sinhl is slightly reduced. */
|
|
__inline_mathcode (sinh, __x, \
|
|
register long double __exm1 = __expm1l (__fabsl (__x)); \
|
|
return 0.5 * (__exm1 / (__exm1 + 1.0) + __exm1) * __sgn1l (__x))
|
|
|
|
__inline_mathcode (cosh, __x, \
|
|
register long double __ex = __expl (__x); \
|
|
return 0.5 * (__ex + 1.0 / __ex))
|
|
|
|
__inline_mathcode (tanh, __x, \
|
|
register long double __exm1 = __expm1l (-__fabsl (__x + __x)); \
|
|
return __exm1 / (__exm1 + 2.0) * __sgn1l (-__x))
|
|
|
|
|
|
__inline_mathcode (floor, __x, \
|
|
register long double __value; \
|
|
__volatile unsigned short int __cw; \
|
|
__volatile unsigned short int __cwtmp; \
|
|
__asm __volatile ("fnstcw %0" : "=m" (__cw)); \
|
|
__cwtmp = (__cw & 0xf3ff) | 0x0400; /* rounding down */ \
|
|
__asm __volatile ("fldcw %0" : : "m" (__cwtmp)); \
|
|
__asm __volatile ("frndint" : "=t" (__value) : "0" (__x)); \
|
|
__asm __volatile ("fldcw %0" : : "m" (__cw)); \
|
|
return __value)
|
|
|
|
__inline_mathcode (ceil, __x, \
|
|
register long double __value; \
|
|
__volatile unsigned short int __cw; \
|
|
__volatile unsigned short int __cwtmp; \
|
|
__asm __volatile ("fnstcw %0" : "=m" (__cw)); \
|
|
__cwtmp = (__cw & 0xf3ff) | 0x0800; /* rounding up */ \
|
|
__asm __volatile ("fldcw %0" : : "m" (__cwtmp)); \
|
|
__asm __volatile ("frndint" : "=t" (__value) : "0" (__x)); \
|
|
__asm __volatile ("fldcw %0" : : "m" (__cw)); \
|
|
return __value)
|
|
|
|
#define __ldexp_code \
|
|
register long double __value; \
|
|
__asm __volatile__ \
|
|
("fscale" \
|
|
: "=t" (__value) : "0" (__x), "u" ((long double) __y)); \
|
|
return __value
|
|
|
|
__MATH_INLINE double ldexp (double __x, int __y);
|
|
__MATH_INLINE double
|
|
ldexp (double __x, int __y)
|
|
{
|
|
__ldexp_code;
|
|
}
|
|
|
|
|
|
/* Optimized versions for some non-standardized functions. */
|
|
#if defined __USE_ISOC9X || defined __USE_MISC
|
|
|
|
__inline_mathop(log2, "fld1; fxch; fyl2x")
|
|
|
|
__inline_mathcode (expm1, __x, __expm1_code)
|
|
|
|
/* We cannot rely on M_SQRT being defined. So we do it for ourself
|
|
here. */
|
|
# define __M_SQRT2 1.41421356237309504880L /* sqrt(2) */
|
|
|
|
__inline_mathcode (log1p, __x, \
|
|
register long double __value; \
|
|
if (__fabsl (__x) >= 1.0 - 0.5 * __M_SQRT2) \
|
|
__value = logl (1.0 + __x); \
|
|
else \
|
|
__asm __volatile__ \
|
|
("fldln2\n\t" \
|
|
"fxch\n\t" \
|
|
"fyl2xp1" \
|
|
: "=t" (__value) : "0" (__x)); \
|
|
return __value)
|
|
|
|
|
|
/* The argument range of the inline version of asinhl is slightly reduced. */
|
|
__inline_mathcode (asinh, __x, \
|
|
register long double __y = __fabsl (__x); \
|
|
return (log1pl (__y * __y / (__sqrtl (__y * __y + 1.0) + 1.0) + __y) \
|
|
* __sgn1l (__x)))
|
|
|
|
__inline_mathcode (acosh, __x, \
|
|
return logl (__x + __sqrtl (__x - 1.0) * __sqrtl (__x + 1.0)))
|
|
|
|
__inline_mathcode (atanh, __x, \
|
|
register long double __y = __fabsl (__x); \
|
|
return -0.5 * log1pl (-(__y + __y) / (1.0 + __y)) * __sgn1l (__x))
|
|
|
|
|
|
/* The argument range of the inline version of hypotl is slightly reduced. */
|
|
__inline_mathcode2 (hypot, __x, __y, return __sqrtl (__x * __x + __y * __y))
|
|
|
|
__inline_mathcode(logb, __x, \
|
|
register long double __value; \
|
|
register long double __junk; \
|
|
__asm __volatile__ \
|
|
("fxtract\n\t" \
|
|
: "=t" (__junk), "=u" (__value) : "0" (__x)); \
|
|
return __value)
|
|
|
|
__MATH_INLINE float ldexpf (float __x, int __y);
|
|
__MATH_INLINE float
|
|
ldexpf (float __x, int __y)
|
|
{
|
|
__ldexp_code;
|
|
}
|
|
|
|
__MATH_INLINE long double ldexpl (long double __x, int __y);
|
|
__MATH_INLINE long double
|
|
ldexpl (long double __x, int __y)
|
|
{
|
|
__ldexp_code;
|
|
}
|
|
|
|
__inline_mathcode3 (fma, __x, __y, __z, return (__x * __y) + __z)
|
|
#endif
|
|
|
|
|
|
#ifdef __USE_MISC
|
|
|
|
__inline_mathcode2 (drem, __x, __y, \
|
|
register double __value; \
|
|
__asm __volatile__ \
|
|
("1: fprem1\n\t" \
|
|
"fstsw %%ax\n\t" \
|
|
"sahf\n\t" \
|
|
"jp 1b" \
|
|
: "=t" (__value) : "0" (__x), "u" (__y) : "ax", "cc"); \
|
|
return __value)
|
|
|
|
|
|
/* This function is used in the `isfinite' macro. */
|
|
__MATH_INLINE int __finite (double __x) __attribute__ ((__const__));
|
|
__MATH_INLINE int
|
|
__finite (double __x)
|
|
{
|
|
return (__extension__
|
|
(((((union { double __d; int __i[2]; }) {__d: __x}).__i[1]
|
|
| 0x800fffff) + 1) >> 31));
|
|
}
|
|
|
|
/* Miscellaneous functions */
|
|
|
|
__inline_mathcode (__coshm1, __x, \
|
|
register long double __exm1 = __expm1l (__fabsl (__x)); \
|
|
return 0.5 * (__exm1 / (__exm1 + 1.0)) * __exm1)
|
|
|
|
__inline_mathcode (__acosh1p, __x, \
|
|
return log1pl (__x + __sqrtl (__x) * __sqrtl (__x + 2.0)))
|
|
|
|
#endif /* __USE_MISC */
|
|
|
|
/* Undefine some of the large macros which are not used anymore. */
|
|
#undef __expm1_code
|
|
#undef __exp_code
|
|
#undef __atan2_code
|
|
#undef __sincos_code
|
|
|
|
#endif /* __NO_MATH_INLINES */
|
|
|
|
|
|
/* This code is used internally in the GNU libc. */
|
|
#ifdef __LIBC_INTERNAL_MATH_INLINES
|
|
__inline_mathop (__ieee754_sqrt, "fsqrt")
|
|
__inline_mathcode2 (__ieee754_atan2, __y, __x,
|
|
register long double __value;
|
|
__asm __volatile__ ("fpatan\n\t"
|
|
: "=t" (__value)
|
|
: "0" (__x), "u" (__y) : "st(1)");
|
|
return __value;)
|
|
#endif
|
|
|
|
#endif /* __GNUC__ */
|