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authorBernie Innocenti <bernie@codewiz.org>2010-05-03 21:53:47 (GMT)
committer Bernie Innocenti <bernie@codewiz.org>2010-05-03 21:53:47 (GMT)
commit1030dc837b10a03a02a85d5504cbeec168ce49e2 (patch)
tree698eefa87ac437deaf36a4141b326f8ce7986692 /src/include/i386/__math.h
Import XaoS r489 (trunk after version 3.5)
Diffstat (limited to 'src/include/i386/__math.h')
-rw-r--r--src/include/i386/__math.h586
1 files changed, 586 insertions, 0 deletions
diff --git a/src/include/i386/__math.h b/src/include/i386/__math.h
new file mode 100644
index 0000000..0274d52
--- /dev/null
+++ b/src/include/i386/__math.h
@@ -0,0 +1,586 @@
+/* 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 __GLIBC__
+#ifdef __cplusplus
+# define __MATH_INLINE __inline
+#else
+# define __MATH_INLINE extern __inline
+#endif
+
+#ifndef ____MATH_H
+#define ____MATH_H
+
+
+#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;
+ __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\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;
+ __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(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_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)
+#endif
+#ifdef __USE_ISOC9X
+ __inline_mathop(log2, "fld1; fxch; fyl2x")
+__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. */
+#if 0
+__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));
+}
+#endif
+
+/* 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__ */
+#endif
+#endif