diff options
Diffstat (limited to 'libc/sysdeps/linux/i386/bits/mathinline.h')
-rw-r--r-- | libc/sysdeps/linux/i386/bits/mathinline.h | 678 |
1 files changed, 678 insertions, 0 deletions
diff --git a/libc/sysdeps/linux/i386/bits/mathinline.h b/libc/sysdeps/linux/i386/bits/mathinline.h new file mode 100644 index 000000000..acc3aa998 --- /dev/null +++ b/libc/sysdeps/linux/i386/bits/mathinline.h @@ -0,0 +1,678 @@ +/* Inline math functions for i387. + Copyright (C) 1995, 1996, 1997, 1998, 1999 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__ */ + +/* The gcc, version 2.7 or below, has problems with all this inlining + code. So disable it for this version of the compiler. */ +# if (__GNUC__ > 2 || (__GNUC__ == 2 && __GNUC_MINOR__ > 7)) +/* Test for negative number. Used in the signbit() macro. */ +__MATH_INLINE int +__signbitf (float __x) +{ + __extension__ union { float __f; int __i; } __u = { __f: __x }; + return __u.__i < 0; +} +__MATH_INLINE int +__signbit (double __x) +{ + __extension__ union { double __d; int __i[2]; } __u = { __d: __x }; + return __u.__i[1] < 0; +} +__MATH_INLINE int +__signbitl (long double __x) +{ + __extension__ union { long double __l; int __i[3]; } __u = { __l: __x }; + return (__u.__i[2] & 0x8000) != 0; +} +# endif +#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; \ + __extension__ 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__ \ + ("fld %%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" \ + "fst %%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" \ + "fst %%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" \ + : "=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; \ + __extension__ 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_decl (atan, "fld1; fpatan", "0" (__x) : "st(1)") +__inline_mathop_decl (log, "fldln2; fxch; fyl2x", "0" (__x) : "st(1)") +__inline_mathop_decl (log10, "fldlg2; fxch; fyl2x", "0" (__x) : "st(1)") + +__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_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) : "st(1)"); \ + 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) + +#endif + +#ifdef __USE_ISOC9X +__inline_mathop_decl (log2, "fld1; fxch; fyl2x", "0" (__x) : "st(1)") + +__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) + +__inline_mathop(rint, "frndint") + +#define __lrint_code \ + long int __lrintres; \ + __asm__ __volatile__ \ + ("fistpl %0" \ + : "=m" (__lrintres) : "t" (__x) : "st"); \ + return __lrintres +__MATH_INLINE long int +lrintf (float __x) +{ + __lrint_code; +} +__MATH_INLINE long int +lrint (double __x) +{ + __lrint_code; +} +__MATH_INLINE long int +lrintl (long double __x) +{ + __lrint_code; +} +#undef __lrint_code + +#define __llrint_code \ + long long int __llrintres; \ + __asm__ __volatile__ \ + ("fistpll %0" \ + : "=m" (__llrintres) : "t" (__x) : "st"); \ + return __llrintres +__MATH_INLINE long long int +llrintf (float __x) +{ + __llrint_code; +} +__MATH_INLINE long long int +llrint (double __x) +{ + __llrint_code; +} +__MATH_INLINE long long int +llrintl (long double __x) +{ + __llrint_code; +} +#undef __llrint_code + +#endif + + +#ifdef __USE_MISC + +__inline_mathcode2 (drem, __x, __y, \ + register double __value; \ + register int __clobbered; \ + __asm __volatile__ \ + ("1: fprem1\n\t" \ + "fstsw %%ax\n\t" \ + "sahf\n\t" \ + "jp 1b" \ + : "=t" (__value), "=&a" (__clobbered) : "0" (__x), "u" (__y) : "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] + | 0x800fffffu) + 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__ */ |