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authorEric Andersen <andersen@codepoet.org>2001-03-19 20:13:39 +0000
committerEric Andersen <andersen@codepoet.org>2001-03-19 20:13:39 +0000
commit13a0c712ba41b02bd67a8a891e54fe9e77823595 (patch)
tree41b6008269e970c7f037d4e8fc1ef5a6e472e455 /libc/sysdeps/linux/i386/bits/mathinline.h
parenta1f0a08481a8577c3ec028cebd5e8a02853b3f5d (diff)
Sync i386 up with _all_ the glibc 2.1.3 include/bits headers,
since we will end up needing a few more of them anyways, and all the other arches have the full set anyways. -Erik
Diffstat (limited to 'libc/sysdeps/linux/i386/bits/mathinline.h')
-rw-r--r--libc/sysdeps/linux/i386/bits/mathinline.h678
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__ */