Use i386 bits/mathinline.h for i386 and x86_64

1 files changed, 0 insertions, 968 deletions

diff --git a/sysdeps/i386/fpu/bits/mathinline.h b/sysdeps/i386/fpu/bits/mathinline.h
deleted file mode 100644
index 6446b1d875..0000000000
--- a/sysdeps/i386/fpu/bits/mathinline.h
+++ /dev/null
@@ -1,968 +0,0 @@
-/* Inline math functions for i387 and SSE.
-   Copyright (C) 1995-2012 Free Software Foundation, Inc.
-   This file is part of the GNU C Library.
-
-   The GNU C Library is free software; you can redistribute it and/or
-   modify it under the terms of the GNU Lesser General Public
-   License as published by the Free Software Foundation; either
-   version 2.1 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
-   Lesser General Public License for more details.
-
-   You should have received a copy of the GNU Lesser General Public
-   License along with the GNU C Library; if not, see
-   <http://www.gnu.org/licenses/>.  */
-
-#ifndef _MATH_H
-# error "Never use <bits/mathinline.h> directly; include <math.h> instead."
-#endif
-
-#ifndef __extern_always_inline
-# define __MATH_INLINE __inline
-#else
-# define __MATH_INLINE __extern_always_inline
-#endif
-
-
-#if defined __USE_ISOC99 && defined __GNUC__ && __GNUC__ >= 2
-/* GCC 2.97 and up have builtins that actually can be used.  */
-# if !__GNUC_PREREQ (2,97)
-/* ISO C99 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.  */
-#  undef isgreater
-#  undef isgreaterequal
-#  undef isless
-#  undef islessequal
-#  undef islessgreater
-#  undef isunordered
-#  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__ */
-# endif	/* GCC 2.97 */
-
-/* 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_PREREQ (2, 8)
-__BEGIN_NAMESPACE_C99
-
-/* Test for negative number.  Used in the signbit() macro.  */
-__MATH_INLINE int
-__NTH (__signbitf (float __x))
-{
-#  ifdef __SSE2_MATH__
-  int __m;
-  __asm ("pmovmskb %1, %0" : "=r" (__m) : "x" (__x));
-  return (__m & 0x8) != 0;
-#  else
-  __extension__ union { float __f; int __i; } __u = { __f: __x };
-  return __u.__i < 0;
-#  endif
-}
-__MATH_INLINE int
-__NTH (__signbit (double __x))
-{
-#  ifdef __SSE2_MATH__
-  int __m;
-  __asm ("pmovmskb %1, %0" : "=r" (__m) : "x" (__x));
-  return (__m & 0x80) != 0;
-#  else
-  __extension__ union { double __d; int __i[2]; } __u = { __d: __x };
-  return __u.__i[1] < 0;
-#  endif
-}
-__MATH_INLINE int
-__NTH (__signbitl (long double __x))
-{
-  __extension__ union { long double __l; int __i[3]; } __u = { __l: __x };
-  return (__u.__i[2] & 0x8000) != 0;
-}
-
-__END_NAMESPACE_C99
-# 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 __GNUC_PREREQ (2, 8)
-# if !__GNUC_PREREQ (3, 4) && !defined __NO_MATH_INLINES \
-     && defined __OPTIMIZE__
-/* GCC 3.4 introduced builtins for all functions below, so
-   there's no need to define any of these inline functions.  */
-
-#  ifdef __USE_ISOC99
-__BEGIN_NAMESPACE_C99
-
-/* Round to nearest integer.  */
-#   ifdef __SSE_MATH__
-__MATH_INLINE long int
-__NTH (lrintf (float __x))
-{
-  long int __res;
-  /* Mark as volatile since the result is dependent on the state of
-     the SSE control register (the rounding mode).  Otherwise GCC might
-     remove these assembler instructions since it does not know about
-     the rounding mode change and cannot currently be told.  */
-  __asm __volatile__ ("cvtss2si %1, %0" : "=r" (__res) : "xm" (__x));
-  return __res;
-}
-#   endif
-#   ifdef __SSE2_MATH__
-__MATH_INLINE long int
-__NTH (lrint (double __x))
-{
-  long int __res;
-  /* Mark as volatile since the result is dependent on the state of
-     the SSE control register (the rounding mode).  Otherwise GCC might
-     remove these assembler instructions since it does not know about
-     the rounding mode change and cannot currently be told.  */
-  __asm __volatile__ ("cvtsd2si %1, %0" : "=r" (__res) : "xm" (__x));
-  return __res;
-}
-#   endif
-#   ifdef __x86_64__
-__MATH_INLINE long long int
-__NTH (llrintf (float __x))
-{
-  long long int __res;
-  /* Mark as volatile since the result is dependent on the state of
-     the SSE control register (the rounding mode).  Otherwise GCC might
-     remove these assembler instructions since it does not know about
-     the rounding mode change and cannot currently be told.  */
-  __asm __volatile__ ("cvtss2si %1, %0" : "=r" (__res) : "xm" (__x));
-  return __res;
-}
-__MATH_INLINE long long int
-__NTH (llrint (double __x))
-{
-  long long int __res;
-  /* Mark as volatile since the result is dependent on the state of
-     the SSE control register (the rounding mode).  Otherwise GCC might
-     remove these assembler instructions since it does not know about
-     the rounding mode change and cannot currently be told.  */
-  __asm __volatile__ ("cvtsd2si %1, %0" : "=r" (__res) : "xm" (__x));
-  return __res;
-}
-#   endif
-
-#   if defined __FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0 \
-       && defined __SSE2_MATH__
-/* Determine maximum of two values.  */
-__MATH_INLINE float
-__NTH (fmaxf (float __x, float __y))
-{
-#    ifdef __AVX__
-  float __res;
-  __asm ("vmaxss %2, %1, %0" : "=x" (__res) : "x" (x), "xm" (__y));
-  return __res;
-#    else
-  __asm ("maxss %1, %0" : "+x" (__x) : "xm" (__y));
-  return __x;
-#    endif
-}
-__MATH_INLINE double
-__NTH (fmax (double __x, double __y))
-{
-#    ifdef __AVX__
-  float __res;
-  __asm ("vmaxsd %2, %1, %0" : "=x" (__res) : "x" (x), "xm" (__y));
-  return __res;
-#    else
-  __asm ("maxsd %1, %0" : "+x" (__x) : "xm" (__y));
-  return __x;
-#    endif
-}
-
-/* Determine minimum of two values.  */
-__MATH_INLINE float
-__NTH (fminf (float __x, float __y))
-{
-#    ifdef __AVX__
-  float __res;
-  __asm ("vminss %2, %1, %0" : "=x" (__res) : "x" (x), "xm" (__y));
-  return __res;
-#    else
-  __asm ("minss %1, %0" : "+x" (__x) : "xm" (__y));
-  return __x;
-#    endif
-}
-__MATH_INLINE double
-__NTH (fmin (double __x, double __y))
-{
-#    ifdef __AVX__
-  float __res;
-  __asm ("vminsd %2, %1, %0" : "=x" (__res) : "x" (x), "xm" (__y));
-  return __res;
-#    else
-  __asm ("minsd %1, %0" : "+x" (__x) : "xm" (__y));
-  return __x;
-#    endif
-}
-#   endif
-
-__END_NAMESPACE_C99
-#  endif
-
-#  if defined __SSE4_1__ && defined __SSE2_MATH__
-#   if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
-__BEGIN_NAMESPACE_C99
-
-/* Round to nearest integer.  */
-__MATH_INLINE double
-__NTH (rint (double __x))
-{
-  double __res;
-  /* Mark as volatile since the result is dependent on the state of
-     the SSE control register (the rounding mode).  Otherwise GCC might
-     remove these assembler instructions since it does not know about
-     the rounding mode change and cannot currently be told.  */
-  __asm __volatile__ ("roundsd $4, %1, %0" : "=x" (__res) : "xm" (__x));
-  return __res;
-}
-__MATH_INLINE float
-__NTH (rintf (float __x))
-{
-  float __res;
-  /* Mark as volatile since the result is dependent on the state of
-     the SSE control register (the rounding mode).  Otherwise GCC might
-     remove these assembler instructions since it does not know about
-     the rounding mode change and cannot currently be told.  */
-  __asm __volatile__ ("roundss $4, %1, %0" : "=x" (__res) : "xm" (__x));
-  return __res;
-}
-
-#    ifdef __USE_ISOC99
-/* Round to nearest integer without raising inexact exception.  */
-__MATH_INLINE double
-__NTH (nearbyint (double __x))
-{
-  double __res;
-  /* Mark as volatile since the result is dependent on the state of
-     the SSE control register (the rounding mode).  Otherwise GCC might
-     remove these assembler instructions since it does not know about
-     the rounding mode change and cannot currently be told.  */
-  __asm __volatile__ ("roundsd $0xc, %1, %0" : "=x" (__res) : "xm" (__x));
-  return __res;
-}
-__MATH_INLINE float
-__NTH (nearbyintf (float __x))
-{
-  float __res;
-  /* Mark as volatile since the result is dependent on the state of
-     the SSE control register (the rounding mode).  Otherwise GCC might
-     remove these assembler instructions since it does not know about
-     the rounding mode change and cannot currently be told.  */
-  __asm __volatile__ ("roundss $0xc, %1, %0" : "=x" (__res) : "xm" (__x));
-  return __res;
-}
-#    endif
-
-__END_NAMESPACE_C99
-#   endif
-
-__BEGIN_NAMESPACE_STD
-/* Smallest integral value not less than X.  */
-__MATH_INLINE double
-__NTH (ceil (double __x))
-{
-  double __res;
-  __asm ("roundsd $2, %1, %0" : "=x" (__res) : "xm" (__x));
-  return __res;
-}
-__END_NAMESPACE_STD
-
-__BEGIN_NAMESPACE_C99
-__MATH_INLINE float
-__NTH (ceilf (float __x))
-{
-  float __res;
-  __asm ("roundss $2, %1, %0" : "=x" (__res) : "xm" (__x));
-  return __res;
-}
-__END_NAMESPACE_C99
-
-__BEGIN_NAMESPACE_STD
-/* Largest integer not greater than X.  */
-__MATH_INLINE double
-__NTH (floor (double __x))
-{
-  double __res;
-  __asm ("roundsd $1, %1, %0" : "=x" (__res) : "xm" (__x));
-  return __res;
-}
-__END_NAMESPACE_STD
-
-__BEGIN_NAMESPACE_C99
-__MATH_INLINE float
-__NTH (floorf (float __x))
-{
-  float __res;
-  __asm ("roundss $1, %1, %0" : "=x" (__res) : "xm" (__x));
-  return __res;
-}
-__END_NAMESPACE_C99
-#  endif
-# endif
-#endif
-
-#ifndef __x86_64__
-# if ((!defined __NO_MATH_INLINES || defined __LIBC_INTERNAL_MATH_INLINES) \
-     && defined __OPTIMIZE__)
-
-/* The inline functions do not set errno or raise necessarily the
-   correct exceptions.  */
-#  undef math_errhandling
-
-/* 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.
-   We define two sets of macros.  The set with the additional NP
-   doesn't add a prototype declaration.  */
-
-#  if defined __USE_MISC || defined __USE_ISOC99
-#   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)
-#   define __inline_mathopNP(func, op) \
-  __inline_mathopNP_ (double, func, op)					      \
-  __inline_mathopNP_ (float, __CONCAT(func,f), op)			      \
-  __inline_mathopNP_ (long double, __CONCAT(func,l), op)
-#  else
-#   define __inline_mathop(func, op) \
-  __inline_mathop_ (double, func, op)
-#   define __inline_mathopNP(func, op) \
-  __inline_mathopNP_ (double, func, op)
-#  endif
-
-#  define __inline_mathop_(float_type, func, op) \
-  __inline_mathop_decl_ (float_type, func, op, "0" (__x))
-#  define __inline_mathopNP_(float_type, func, op) \
-  __inline_mathop_declNP_ (float_type, func, op, "0" (__x))
-
-
-#  if defined __USE_MISC || defined __USE_ISOC99
-#   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)
-#   define __inline_mathop_declNP(func, op, params...) \
-  __inline_mathop_declNP_ (double, func, op, params)			      \
-  __inline_mathop_declNP_ (float, __CONCAT(func,f), op, params)		      \
-  __inline_mathop_declNP_ (long double, __CONCAT(func,l), op, params)
-#  else
-#   define __inline_mathop_decl(func, op, params...) \
-  __inline_mathop_decl_ (double, func, op, params)
-#   define __inline_mathop_declNP(func, op, params...) \
-  __inline_mathop_declNP_ (double, func, op, params)
-#  endif
-
-#  define __inline_mathop_decl_(float_type, func, op, params...) \
-  __MATH_INLINE float_type func (float_type) __THROW;			      \
-  __inline_mathop_declNP_ (float_type, func, op, params)
-
-#  define __inline_mathop_declNP_(float_type, func, op, params...) \
-  __MATH_INLINE float_type __NTH (func (float_type __x))		      \
-  {									      \
-    register float_type __result;					      \
-    __asm __volatile__ (op : "=t" (__result) : params);			      \
-    return __result;							      \
-  }
-
-
-#  if defined __USE_MISC || defined __USE_ISOC99
-#   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_mathcodeNP(func, arg, code) \
-  __inline_mathcodeNP_ (double, func, arg, code)			      \
-  __inline_mathcodeNP_ (float, __CONCAT(func,f), arg, code)		      \
-  __inline_mathcodeNP_ (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_mathcodeNP2(func, arg1, arg2, code) \
-  __inline_mathcodeNP2_ (double, func, arg1, arg2, code)		      \
-  __inline_mathcodeNP2_ (float, __CONCAT(func,f), arg1, arg2, code)	      \
-  __inline_mathcodeNP2_ (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)
-#   define __inline_mathcodeNP3(func, arg1, arg2, arg3, code) \
-  __inline_mathcodeNP3_ (double, func, arg1, arg2, arg3, code)		      \
-  __inline_mathcodeNP3_ (float, __CONCAT(func,f), arg1, arg2, arg3, code)     \
-  __inline_mathcodeNP3_ (long double, __CONCAT(func,l), arg1, arg2, arg3, code)
-#  else
-#   define __inline_mathcode(func, arg, code) \
-  __inline_mathcode_ (double, func, (arg), code)
-#   define __inline_mathcodeNP(func, arg, code) \
-  __inline_mathcodeNP_ (double, func, (arg), code)
-#   define __inline_mathcode2(func, arg1, arg2, code) \
-  __inline_mathcode2_ (double, func, arg1, arg2, code)
-#   define __inline_mathcodeNP2(func, arg1, arg2, code) \
-  __inline_mathcodeNP2_ (double, func, arg1, arg2, code)
-#   define __inline_mathcode3(func, arg1, arg2, arg3, code) \
-  __inline_mathcode3_ (double, func, arg1, arg2, arg3, code)
-#   define __inline_mathcodeNP3(func, arg1, arg2, arg3, code) \
-  __inline_mathcodeNP3_ (double, func, arg1, arg2, arg3, code)
-#  endif
-
-#  define __inline_mathcode_(float_type, func, arg, code) \
-  __MATH_INLINE float_type func (float_type) __THROW;			      \
-  __inline_mathcodeNP_(float_type, func, arg, code)
-
-#  define __inline_mathcodeNP_(float_type, func, arg, code) \
-  __MATH_INLINE float_type __NTH (func (float_type arg))		      \
-  {									      \
-    code;								      \
-  }
-
-
-#  define __inline_mathcode2_(float_type, func, arg1, arg2, code) \
-  __MATH_INLINE float_type func (float_type, float_type) __THROW;	      \
-  __inline_mathcodeNP2_ (float_type, func, arg1, arg2, code)
-
-#  define __inline_mathcodeNP2_(float_type, func, arg1, arg2, code) \
-  __MATH_INLINE float_type __NTH (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) __THROW; \
-  __inline_mathcodeNP3_(float_type, func, arg1, arg2, arg3, code)
-
-#  define __inline_mathcodeNP3_(float_type, func, arg1, arg2, arg3, code) \
-  __MATH_INLINE float_type __NTH (func (float_type arg1, float_type arg2,     \
-					float_type arg3))		      \
-  {									      \
-    code;								      \
-  }
-# endif
-
-
-# if !defined __NO_MATH_INLINES && defined __OPTIMIZE__
-/* Miscellaneous functions  */
-
-/* __FAST_MATH__ is defined by gcc -ffast-math.  */
-#  ifdef __FAST_MATH__
-#   ifdef __USE_GNU
-#    define __sincos_code \
-  register long double __cosr;						      \
-  register long double __sinr;						      \
-  register unsigned int __swtmp;					      \
-  __asm __volatile__							      \
-    ("fsincos\n\t"							      \
-     "fnstsw	%w2\n\t"						      \
-     "testl	$0x400, %2\n\t"						      \
-     "jz	1f\n\t"							      \
-     "fldpi\n\t"							      \
-     "fadd	%%st(0)\n\t"						      \
-     "fxch	%%st(1)\n\t"						      \
-     "2: fprem1\n\t"							      \
-     "fnstsw	%w2\n\t"						      \
-     "testl	$0x400, %2\n\t"						      \
-     "jnz	2b\n\t"							      \
-     "fstp	%%st(1)\n\t"						      \
-     "fsincos\n\t"							      \
-     "1:"								      \
-     : "=t" (__cosr), "=u" (__sinr), "=a" (__swtmp) : "0" (__x));	      \
-  *__sinx = __sinr;							      \
-  *__cosx = __cosr
-
-__MATH_INLINE void
-__NTH (__sincos (double __x, double *__sinx, double *__cosx))
-{
-  __sincos_code;
-}
-
-__MATH_INLINE void
-__NTH (__sincosf (float __x, float *__sinx, float *__cosx))
-{
-  __sincos_code;
-}
-
-__MATH_INLINE void
-__NTH (__sincosl (long double __x, long double *__sinx, long double *__cosx))
-{
-  __sincos_code;
-}
-#   endif
-
-
-/* Optimized inline implementation, sometimes with reduced precision
-   and/or argument range.  */
-
-#   if __GNUC_PREREQ (3, 5)
-#    define __expm1_code \
-  register long double __temp;						      \
-  __temp = __builtin_expm1l (__x);					      \
-  return __temp ? __temp : __x
-#   else
-#    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;							      \
-  __temp += __value;							      \
-  return __temp ? __temp : __x
-#   endif
-__inline_mathcodeNP_ (long double, __expm1l, __x, __expm1_code)
-
-#   if __GNUC_PREREQ (3, 4)
-__inline_mathcodeNP_ (long double, __expl, __x, return __builtin_expl (__x))
-#   else
-#    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_mathcodeNP (exp, __x, __exp_code)
-__inline_mathcodeNP_ (long double, __expl, __x, __exp_code)
-#   endif
-
-
-#   if !__GNUC_PREREQ (3, 5)
-__inline_mathcodeNP (tan, __x, \
-  register long double __value;						      \
-  register long double __value2 __attribute__ ((__unused__));		      \
-  __asm __volatile__							      \
-    ("fptan"								      \
-     : "=t" (__value2), "=u" (__value) : "0" (__x));			      \
-  return __value)
-#   endif
-#  endif /* __FAST_MATH__ */
-
-
-#  if __GNUC_PREREQ (3, 4)
-__inline_mathcodeNP2_ (long double, __atan2l, __y, __x,
-		       return __builtin_atan2l (__y, __x))
-#  else
-#   define __atan2_code \
-  register long double __value;						      \
-  __asm __volatile__							      \
-    ("fpatan"								      \
-     : "=t" (__value) : "0" (__x), "u" (__y) : "st(1)");		      \
-  return __value
-#   ifdef __FAST_MATH__
-__inline_mathcodeNP2 (atan2, __y, __x, __atan2_code)
-#   endif
-__inline_mathcodeNP2_ (long double, __atan2l, __y, __x, __atan2_code)
-#  endif
-
-
-#  if defined __FAST_MATH__ && !__GNUC_PREREQ (3, 5)
-__inline_mathcodeNP2 (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)
-#  endif
-
-
-#  ifdef __FAST_MATH__
-#   if !__GNUC_PREREQ (3,3)
-__inline_mathopNP (sqrt, "fsqrt")
-__inline_mathopNP_ (long double, __sqrtl, "fsqrt")
-#    define __libc_sqrtl(n) __sqrtl (n)
-#   else
-#    define __libc_sqrtl(n) __builtin_sqrtl (n)
-#   endif
-#  endif
-
-#  if __GNUC_PREREQ (2, 8)
-__inline_mathcodeNP_ (double, fabs, __x, return __builtin_fabs (__x))
-#   if defined __USE_MISC || defined __USE_ISOC99
-__inline_mathcodeNP_ (float, fabsf, __x, return __builtin_fabsf (__x))
-__inline_mathcodeNP_ (long double, fabsl, __x, return __builtin_fabsl (__x))
-#   endif
-__inline_mathcodeNP_ (long double, __fabsl, __x, return __builtin_fabsl (__x))
-#  else
-__inline_mathop (fabs, "fabs")
-__inline_mathop_ (long double, __fabsl, "fabs")
-# endif
-
-#  ifdef __FAST_MATH__
-#   if !__GNUC_PREREQ (3, 4)
-/* The argument range of this inline version is reduced.  */
-__inline_mathopNP (sin, "fsin")
-/* The argument range of this inline version is reduced.  */
-__inline_mathopNP (cos, "fcos")
-
-__inline_mathop_declNP (log, "fldln2; fxch; fyl2x", "0" (__x) : "st(1)")
-#   endif
-
-#   if !__GNUC_PREREQ (3, 5)
-__inline_mathop_declNP (log10, "fldlg2; fxch; fyl2x", "0" (__x) : "st(1)")
-
-__inline_mathcodeNP (asin, __x, return __atan2l (__x, __libc_sqrtl (1.0 - __x * __x)))
-__inline_mathcodeNP (acos, __x, return __atan2l (__libc_sqrtl (1.0 - __x * __x), __x))
-#   endif
-
-#   if !__GNUC_PREREQ (3, 4)
-__inline_mathop_declNP (atan, "fld1; fpatan", "0" (__x) : "st(1)")
-#   endif
-#  endif /* __FAST_MATH__ */
-
-__inline_mathcode_ (long double, __sgn1l, __x, \
-  __extension__ union { long double __xld; unsigned int __xi[3]; } __n =      \
-    { __xld: __x };							      \
-  __n.__xi[2] = (__n.__xi[2] & 0x8000) | 0x3fff;			      \
-  __n.__xi[1] = 0x80000000;						      \
-  __n.__xi[0] = 0;							      \
-  return __n.__xld)
-
-
-#  ifdef __FAST_MATH__
-/* The argument range of the inline version of sinhl is slightly reduced.  */
-__inline_mathcodeNP (sinh, __x, \
-  register long double __exm1 = __expm1l (__fabsl (__x));		      \
-  return 0.5 * (__exm1 / (__exm1 + 1.0) + __exm1) * __sgn1l (__x))
-
-__inline_mathcodeNP (cosh, __x, \
-  register long double __ex = __expl (__x);				      \
-  return 0.5 * (__ex + 1.0 / __ex))
-
-__inline_mathcodeNP (tanh, __x, \
-  register long double __exm1 = __expm1l (-__fabsl (__x + __x));	      \
-  return __exm1 / (__exm1 + 2.0) * __sgn1l (-__x))
-#  endif
-
-__inline_mathcodeNP (floor, __x, \
-  register long double __value;						      \
-  register int __ignore;						      \
-  unsigned short int __cw;						      \
-  unsigned short int __cwtmp;						      \
-  __asm __volatile ("fnstcw %3\n\t"					      \
-		    "movzwl %3, %1\n\t"					      \
-		    "andl $0xf3ff, %1\n\t"				      \
-		    "orl $0x0400, %1\n\t"	/* rounding down */	      \
-		    "movw %w1, %2\n\t"					      \
-		    "fldcw %2\n\t"					      \
-		    "frndint\n\t"					      \
-		    "fldcw %3"						      \
-		    : "=t" (__value), "=&q" (__ignore), "=m" (__cwtmp),	      \
-		      "=m" (__cw)					      \
-		    : "0" (__x));					      \
-  return __value)
-
-__inline_mathcodeNP (ceil, __x, \
-  register long double __value;						      \
-  register int __ignore;						      \
-  unsigned short int __cw;						      \
-  unsigned short int __cwtmp;						      \
-  __asm __volatile ("fnstcw %3\n\t"					      \
-		    "movzwl %3, %1\n\t"					      \
-		    "andl $0xf3ff, %1\n\t"				      \
-		    "orl $0x0800, %1\n\t"	/* rounding up */	      \
-		    "movw %w1, %2\n\t"					      \
-		    "fldcw %2\n\t"					      \
-		    "frndint\n\t"					      \
-		    "fldcw %3"						      \
-		    : "=t" (__value), "=&q" (__ignore), "=m" (__cwtmp),	      \
-		      "=m" (__cw)					      \
-		    : "0" (__x));					      \
-  return __value)
-
-#  ifdef __FAST_MATH__
-#   define __ldexp_code \
-  register long double __value;						      \
-  __asm __volatile__							      \
-    ("fscale"								      \
-     : "=t" (__value) : "0" (__x), "u" ((long double) __y));		      \
-  return __value
-
-__MATH_INLINE double
-__NTH (ldexp (double __x, int __y))
-{
-  __ldexp_code;
-}
-#  endif
-
-
-/* Optimized versions for some non-standardized functions.  */
-#  if defined __USE_ISOC99 || defined __USE_MISC
-
-#   ifdef __FAST_MATH__
-__inline_mathcodeNP (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) */
-
-#    if !__GNUC_PREREQ (3, 5)
-__inline_mathcodeNP (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)
-#    endif
-
-
-/* The argument range of the inline version of asinhl is slightly reduced.  */
-__inline_mathcodeNP (asinh, __x, \
-  register long double  __y = __fabsl (__x);				      \
-  return (log1pl (__y * __y / (__libc_sqrtl (__y * __y + 1.0) + 1.0) + __y)   \
-	  * __sgn1l (__x)))
-
-__inline_mathcodeNP (acosh, __x, \
-  return logl (__x + __libc_sqrtl (__x - 1.0) * __libc_sqrtl (__x + 1.0)))
-
-__inline_mathcodeNP (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_mathcodeNP2 (hypot, __x, __y,
-		      return __libc_sqrtl (__x * __x + __y * __y))
-
-#    if !__GNUC_PREREQ (3, 5)
-__inline_mathcodeNP(logb, __x, \
-  register long double __value;						      \
-  register long double __junk;						      \
-  __asm __volatile__							      \
-    ("fxtract\n\t"							      \
-     : "=t" (__junk), "=u" (__value) : "0" (__x));			      \
-  return __value)
-#    endif
-
-#   endif
-#  endif
-
-#  ifdef __USE_ISOC99
-#   ifdef __FAST_MATH__
-
-#    if !__GNUC_PREREQ (3, 5)
-__inline_mathop_declNP (log2, "fld1; fxch; fyl2x", "0" (__x) : "st(1)")
-#    endif
-
-__MATH_INLINE float
-__NTH (ldexpf (float __x, int __y))
-{
-  __ldexp_code;
-}
-
-__MATH_INLINE long double
-__NTH (ldexpl (long double __x, int __y))
-{
-  __ldexp_code;
-}
-
-__inline_mathopNP (rint, "frndint")
-#   endif /* __FAST_MATH__ */
-
-#   define __lrint_code \
-  long int __lrintres;							      \
-  __asm__ __volatile__							      \
-    ("fistpl %0"							      \
-     : "=m" (__lrintres) : "t" (__x) : "st");				      \
-  return __lrintres
-__MATH_INLINE long int
-__NTH (lrintf (float __x))
-{
-  __lrint_code;
-}
-__MATH_INLINE long int
-__NTH (lrint (double __x))
-{
-  __lrint_code;
-}
-__MATH_INLINE long int
-__NTH (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
-__NTH (llrintf (float __x))
-{
-  __llrint_code;
-}
-__MATH_INLINE long long int
-__NTH (llrint (double __x))
-{
-  __llrint_code;
-}
-__MATH_INLINE long long int
-__NTH (llrintl (long double __x))
-{
-  __llrint_code;
-}
-#   undef __llrint_code
-
-# endif
-
-
-#  ifdef __USE_MISC
-
-#   if defined __FAST_MATH__ && !__GNUC_PREREQ (3, 5)
-__inline_mathcodeNP2 (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)
-#  endif
-
-
-/* This function is used in the `isfinite' macro.  */
-__MATH_INLINE int
-__NTH (__finite (double __x))
-{
-  return (__extension__
-	  (((((union { double __d; int __i[2]; }) {__d: __x}).__i[1]
-	     | 0x800fffffu) + 1) >> 31));
-}
-
-#  endif /* __USE_MISC  */
-
-/* Undefine some of the large macros which are not used anymore.  */
-#  undef __atan2_code
-#  ifdef __FAST_MATH__
-#   undef __expm1_code
-#   undef __exp_code
-#   undef __sincos_code
-#  endif /* __FAST_MATH__ */
-
-# 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 /* !__x86_64__ */