Mon Mar 4 20:54:40 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>

* Makeconfig ($(common-objpfx)config.make): Depend on config.h.in. Mon Mar 4 17:35:09 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu> * hurd/catch-signal.c (hurd_safe_memmove): New function. (hurd_safe_copyin, hurd_safe_copyout): New functions. * hurd/hurd/sigpreempt.h: Declare them. Sun Mar 3 08:43:44 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu> Replace math code with fdlibm from Sun as modified for netbsd by JT Conklin and Ian Taylor, including x86 FPU support. * sysdeps/libm-ieee754, sysdeps/libm-i387: New directories. * math/math_private.h: New file. * sysdeps/i386/fpu/Implies: New file. * sysdeps/ieee754/Implies: New file. * math/machine/asm.h, math/machine/endian.h: New files. * math/Makefile, math/math.h: Rewritten. * mathcalls.h, math/mathcalls.h: New file, broken out of math.h. * math/finite.c: File removed. * sysdeps/generic/Makefile [$(subdir)=math]: Frobnication removed. * math/test-math.c: Include errno.h and string.h. * sysdeps/unix/bsd/dirstream.h: File removed. * sysdeps/unix/bsd/readdir.c: File removed.
2024-11-09 14:50:05 +00:00 · 1996-03-05 21:41:30 +00:00 · 1996-03-05 21:41:30 +00:00 · f7eac6eb50
commit f7eac6eb50
parent 1521668f2a
210 changed files with 16857 additions and 296 deletions
--- a/31
+++ b/31
@ -1,3 +1,7 @@
+Mon Mar  4 20:54:40 1996  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>
+
+	* Makeconfig ($(common-objpfx)config.make): Depend on config.h.in.
+
 Tue Mar  5 12:14:57 1996  Miles Bader  <miles@gnu.ai.mit.edu>

 	* sysdeps/mach/hurd/select.c (__select): Also don't fault just
@ -9,7 +13,32 @@ Mon Mar  4 17:35:35 1996  Miles Bader  <miles@gnu.ai.mit.edu>
 	Don't increment GOT only because READ/WRITE/EXCEPTFDS is 0!
 	Don't return without frobbing the bitmasks after a timeout.
 	When clearing the bitmasks, only loop from FIRSTFD to LASTFD.
-	
+
+Mon Mar  4 17:35:09 1996  Roland McGrath  <roland@charlie-brown.gnu.ai.mit.edu>
+
+	* hurd/catch-signal.c (hurd_safe_memmove): New function.
+	(hurd_safe_copyin, hurd_safe_copyout): New functions.
+	* hurd/hurd/sigpreempt.h: Declare them.
+
+Sun Mar  3 08:43:44 1996  Roland McGrath  <roland@charlie-brown.gnu.ai.mit.edu>
+
+	Replace math code with fdlibm from Sun as modified for netbsd by
+	JT Conklin and Ian Taylor, including x86 FPU support.
+	* sysdeps/libm-ieee754, sysdeps/libm-i387: New directories.
+	* math/math_private.h: New file.
+	* sysdeps/i386/fpu/Implies: New file.
+	* sysdeps/ieee754/Implies: New file.
+	* math/machine/asm.h, math/machine/endian.h: New files.
+	* math/Makefile, math/math.h: Rewritten.
+	* mathcalls.h, math/mathcalls.h: New file, broken out of math.h.
+	* math/finite.c: File removed.
+	* sysdeps/generic/Makefile [$(subdir)=math]: Frobnication removed.
+
+	* math/test-math.c: Include errno.h and string.h.
+
+	* sysdeps/unix/bsd/dirstream.h: File removed.
+	* sysdeps/unix/bsd/readdir.c: File removed.
+
 Sat Mar  2 16:35:40 1996  Roland McGrath  <roland@charlie-brown.gnu.ai.mit.edu>

 	* sysdeps/unix/sysv/linux/m68k/profil-counter.h: File removed.
--- a/20
+++ b/20
@ -37,6 +37,11 @@ Version 1.10
  through the interface in <sys/gmon.h>.  The profiling code was adapted
  from 4.4 BSD-Lite.

+* The math code has been replaced with a math library based on fdlibm from
+  Sun, and modified by JT Conklin with i387 support and by Ian Taylor with
+  `float' functions.  The math functions now reside in a separate library,
+  so programs using them will need to use `-lm' their linking commands.
+
 * The new functions `strtoq' and `strtouq' parse integer values from
  strings, like `strtol' and `strtoul', but they return `long long int' and
  `unsigned long long int' values, respectively (64-bit quantities).
@ -53,6 +58,10 @@ Version 1.10
 * The new header <langinfo.h> defines an interface for accessing
  various locale-dependent data (using the locale chosen with `setlocale').

+* Ulrich Drepper has contributed a new suite of functions for operation on
+  wide-character and multibyte-character strings; see <wcstr.h> and <mbstr.h>.
+  These new functions are intended to conform to the ISO C specification.
+
 * You can now use positional parameter specifications in format strings
  for the `printf' and `scanf' families of functions.  For example,
  `printf ("Number %2$d, Mr %1$s\n", "Jones", 6);'' prints
@ -163,10 +172,13 @@ Version 1.10

 * New function `getsid' returns session ID number on systems that support it.

-* The 4.4 BSD `db' library has been incorporated into the GNU C library.
-  New header files <db.h> and <mpool.h> provide a rich set of functions for
-  several types of simple databases stored in memory and in files, and
-  <ndbm.h> is an old `ndbm'-compatbile interface using the `db' functions.
+* We have incorporated the 4.4 BSD `db' library (version 1.85).  New header
+  files <db.h> and <mpool.h> provide a rich set of functions for several
+  types of simple databases stored in memory and in files, and <ndbm.h> is
+  an old `ndbm'-compatbile interface using the `db' functions.
+
+* New macro `strdupa' copies a string like `strdup', but uses local stack
+  space from `alloca' instead of dynamic heap space from `malloc'.

 Version 1.09

--- a/math/Makefile
+++ b/math/Makefile
@ -1,4 +1,6 @@
-# Copyright (C) 1991, 1992, 1994, 1995 Free Software Foundation, Inc.
+# Makefile for the math library.
+
+# Copyright (C) 1996 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
@ -16,24 +18,58 @@
 # not, write to the Free Software Foundation, Inc., 675 Mass Ave,
 # Cambridge, MA 02139, USA.

-#
-#	Makefile for math.
-#
-subdir	:= math
+subdir		:= math

-headers	:= math.h __math.h huge_val.h nan.h
+# Installed header files.
+headers		:= math.h mathcalls.h __math.h huge_val.h nan.h
+
+# Internal header files.
+distribute	:= math_private.h machine/asm.h machine/endian.h


-routines := acos asin atan cos sin tan cosh sinh tanh exp fabs ldexp	\
-	    log log10 floor sqrt fmod frexp pow atan2 ceil modf		\
-	    isinf isnan finite infnan copysign drem logb		\
-	    rint hypot cabs cbrt expm1 log1p acosh asinh atanh		\
-	    isinfl isnanl
-tests := # test-math
-install-lib := libm.a
+# Build the -lm library.
+
+extra-libs	:= libm
+libm.so-version	:= .0
+libm-routines	:= e_acos e_acosf e_acosh e_acoshf e_asin e_asinf	\
+		   e_atan2 e_atan2f e_atanh e_atanhf e_cosh e_coshf	\
+		   e_exp e_expf e_fmod e_fmodf e_hypot e_hypotf e_j0	\
+		   e_j0f e_j1 e_j1f e_jn e_jnf e_lgamma_r e_lgammaf_r	\
+		   e_log e_log10 e_log10f e_logf e_pow e_powf		\
+		   e_rem_pio2 e_rem_pio2f e_remainder e_remainderf	\
+		   e_scalb e_scalbf e_sinh e_sinhf e_sqrt e_sqrtf k_cos	\
+		   k_cosf k_rem_pio2 k_rem_pio2f k_sin k_sinf		\
+		   k_standard k_tan k_tanf s_asinh s_asinhf s_atan	\
+		   s_atanf s_cbrt s_cbrtf s_ceil s_ceilf s_copysign	\
+		   s_copysignf s_cos s_cosf s_erf s_erff s_expm1	\
+		   s_expm1f s_fabs s_fabsf s_finite s_finitef s_floor	\
+		   s_floorf s_frexp s_frexpf s_ilogb s_ilogbf		\
+		   s_ldexp s_ldexpf s_lib_version s_log1p s_log1pf	\
+		   s_logb s_logbf s_matherr s_modf s_modff s_nextafter	\
+		   s_nextafterf s_rint s_rintf s_scalbn s_scalbnf	\
+		   s_signgam s_significand s_significandf s_sin s_sinf	\
+		   s_tan s_tanf s_tanh s_tanhf w_acos w_acosf w_acosh	\
+		   w_acoshf w_asin w_asinf w_atan2 w_atan2f w_atanh	\
+		   w_atanhf w_cabs w_cabsf w_cosh w_coshf w_drem	\
+		   w_dremf w_exp w_expf w_fmod w_fmodf w_gamma		\
+		   w_gamma_r w_gammaf w_gammaf_r w_hypot w_hypotf w_j0	\
+		   w_j0f w_j1 w_j1f w_jn w_jnf w_lgamma w_lgamma_r	\
+		   w_lgammaf w_lgammaf_r w_log w_log10 w_log10f w_logf	\
+		   w_pow w_powf w_remainder w_remainderf w_scalb	\
+		   w_scalbf w_sinh w_sinhf w_sqrt w_sqrtf
+
+# These functions are in libc instead of libm because __printf_fp
+# calls them, so any program using printf will need them linked in,
+# and we don't want to have to link every program with -lm.
+routines := s_isinf s_isinff s_isnan s_isnanf isinfl isnanl


 include ../Rules

-$(objpfx)libm.a: $(dep-dummy-lib); $(make-dummy-lib)
-lib: $(objpfx)libm.a
+
+# This file defines the default _LIB_VERSION variable that controls
+# the error return conventions for the math functions.
+CPPFLAGS-s_lib_version.c := -D_POSIX_MODE
+
+# The fdlibm code generates a lot of these warnings but is otherwise clean.
+override CFLAGS += -Wno-uninitialized -Wno-write-strings
--- a/math/finite.c
+++ b/math/finite.c
@ -1,31 +0,0 @@
-/* Copyright (C) 1991, 1992, 1995 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 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., 675 Mass Ave,
-Cambridge, MA 02139, USA.  */
-
-#include <ansidecl.h>
-#include <math.h>
-
-#undef	__finite
-
-/* Return nonzero if VALUE is finite and not NaN.  */
-int
-DEFUN(__finite, (value), double value)
-{
-  return !__isinf (value) && !__isnan (value);
-}
-
-weak_alias (__finite, finite)
--- a/math/machine/asm.h
+++ b/math/machine/asm.h
@ -0,0 +1,10 @@
+/* The libm assembly code wants to include <machine/asm.h> to define the
+   ENTRY macro.  We define assembly-related macros in sysdep.h and
+   asm-syntax.h.  */
+
+#include <sysdep.h>
+#include <asm-syntax.h>
+
+/* The libm assembly code uses this macro for RCSid strings.
+   We don't put RCSid strings into object files.  */
+#define RCSID(id) /* ignore them */
--- a/math/machine/endian.h
+++ b/math/machine/endian.h
@ -0,0 +1,4 @@
+/* math_private.h wants to include <machine/endian.h>; we provide this
+   file so it can, leaving math_private.h unmodified from the original.  */
+
+#include <endian.h>
--- a/math/math.h
+++ b/math/math.h
@ -1,4 +1,5 @@
-/* Copyright (C) 1991, 1992, 1993, 1995 Free Software Foundation, Inc.
+/* Declarations for math functions.
+Copyright (C) 1991, 92, 93, 95, 96 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
@ -30,7 +31,8 @@ __BEGIN_DECLS
 #define	__need_Emath
 #include <errno.h>

-/* Get machine-dependent HUGE_VAL value (returned on overflow).  */
+/* Get machine-dependent HUGE_VAL value (returned on overflow).
+   On all IEEE754 machines, this is +Infinity.  */
 #include <huge_val.h>

 /* Get machine-dependent NAN value (returned for some domain errors).  */
@ -39,260 +41,84 @@ __BEGIN_DECLS
 #endif


-/* Trigonometric functions.  */
+/* The file <mathcalls.h> contains the prototypes for all the actual
+   math functions.  These macros are used for those prototypes, so
+   we can easily declare each function as both `name' and `__name',
+   and can declare the float versions `namef' and `__namef'.  */

-/* Arc cosine of X.  */
-extern double acos __P ((double __x)) __attribute__ ((__const__));
-/* Arc sine of X.  */
-extern double asin __P ((double __x)) __attribute__ ((__const__));
-/* Arc tangent of X.  */
-extern double atan __P ((double __x)) __attribute__ ((__const__));
-/* Arc tangent of Y/X.  */
-extern double atan2 __P ((double __y, double __x)) __attribute__ ((__const__));
+#define __MATHCALL(function,suffix, args)	\
+  __MATHDECL (_Mdouble_, function,suffix, args)
+#define __MATHDECL(type, function,suffix, args) \
+  __MATHDECL_1(type, function,suffix, args); \
+  __MATHDECL_1(type, __##function,suffix, args)
+#define __MATHDECL_1(type, function,suffix, args) \
+  extern type __MATH_PRECNAME(function,suffix) args

-/* Cosine of X.  */
-extern double cos __P ((double __x)) __attribute__ ((__const__));
-/* Sine of X.  */
-extern double sin __P ((double __x)) __attribute__ ((__const__));
-/* Tangent of X.  */
-extern double tan __P ((double __x)) __attribute__ ((__const__));
+#define _Mdouble_ 		double
+#define __MATH_PRECNAME(name,r)	name##r
+#include <mathcalls.h>
+#undef	_Mdouble_
+#undef	__MATH_PRECNAME

+#ifdef __USE_MISC
+/* Include the file of declarations again, this type using `float'
+   instead of `double' and appending f to each function name.  */

-/* Hyperbolic functions.  */
+#define _Mdouble_ 		float
+#define __MATH_PRECNAME(name,r)	name##f##r
+#include <mathcalls.h>
+#undef	_Mdouble_
+#undef	__MATH_PRECNAME
+#endif

-/* Hyperbolic cosine of X.  */
-extern double cosh __P ((double __x)) __attribute__ ((__const__));
-/* Hyperbolic sine of X.  */
-extern double sinh __P ((double __x)) __attribute__ ((__const__));
-/* Hyperbolic tangent of X.  */
-extern double tanh __P ((double __x)) __attribute__ ((__const__));

 #ifdef	__USE_MISC
-/* Hyperbolic arc cosine of X.  */
-extern double acosh __P ((double __x)) __attribute__ ((__const__));
-/* Hyperbolic arc sine of X.  */
-extern double asinh __P ((double __x)) __attribute__ ((__const__));
-/* Hyperbolic arc tangent of X.  */
-extern double atanh __P ((double __x)) __attribute__ ((__const__));
-#endif
+/* Support for various different standard error handling behaviors.  */

-/* Exponential and logarithmic functions.  */
+typedef enum { _IEEE_ = -1, _SVID_, _XOPEN_, _POSIX_ } _LIB_VERSION_TYPE;

-/* Exponentional function of X.  */
-extern double exp __P ((double __x)) __attribute__ ((__const__));
-
-/* Break VALUE into a normalized fraction and an integral power of 2.  */
-extern double frexp __P ((double __value, int *__exp));
-
-/* X times (two to the EXP power).  */
-extern double ldexp __P ((double __x, int __exp)) __attribute__ ((__const__));
-
-/* Natural logarithm of X.  */
-extern double log __P ((double __x)) __attribute__ ((__const__));
-
-/* Base-ten logarithm of X.  */
-extern double log10 __P ((double __x)) __attribute__ ((__const__));
-
-#ifdef	__USE_MISC
-/* Return exp(X) - 1.  */
-extern double __expm1 __P ((double __x)) __attribute__ ((__const__));
-extern double expm1 __P ((double __x)) __attribute__ ((__const__));
-
-/* Return log(1 + X).  */
-extern double log1p __P ((double __x)) __attribute__ ((__const__));
-#endif
-
-/* Break VALUE into integral and fractional parts.  */
-extern double modf __P ((double __value, double *__iptr));
-
-
-/* Power functions.  */
-
-/* Return X to the Y power.  */
-extern double pow __P ((double __x, double __y)) __attribute__ ((__const__));
-
-/* Return the square root of X.  */
-extern double sqrt __P ((double __x)) __attribute__ ((__const__));
-
-#ifdef	__USE_MISC
-/* Return the cube root of X.  */
-extern double cbrt __P ((double __x)) __attribute__ ((__const__));
+/* This variable can be changed at run-time to any of the values above to
+   affect floating point error handling behavior (it may also be necessary
+   to change the hardware FPU exception settings).  */
+extern _LIB_VERSION_TYPE _LIB_VERSION;
 #endif


-/* Nearest integer, absolute value, and remainder functions.  */
+#ifdef __USE_SVID
+/* In SVID error handling, `matherr' is called with this description
+   of the exceptional condition.  */
+struct exception
+  {
+    int type;
+    char *name;
+    double arg1;
+    double arg2;
+    double retval;
+  };

-/* Smallest integral value not less than X.  */
-extern double ceil __P ((double __x)) __attribute__ ((__const__));
+extern int matherr __P ((struct exception *));

-/* Absolute value of X.  */
-extern double fabs __P ((double __x)) __attribute__ ((__const__));
+#define X_TLOSS		1.41484755040568800000e+16

-/* Largest integer not greater than X.  */
-extern double floor __P ((double __x)) __attribute__ ((__const__));
+/* Types of exceptions in the `type' field.  */
+#define	DOMAIN		1
+#define	SING		2
+#define	OVERFLOW	3
+#define	UNDERFLOW	4
+#define	TLOSS		5
+#define	PLOSS		6

-/* Floating-point modulo remainder of X/Y.  */
-extern double fmod __P ((double __x, double __y)) __attribute__ ((__const__));
+/* SVID mode specifies returning this large value instead of infinity.  */
+#define HUGE		FLT_MAX
+#include <float.h>		/* Defines FLT_MAX.  */

-
-/* Return 0 if VALUE is finite or NaN, +1 if it
-   is +Infinity, -1 if it is -Infinity.  */
-extern int __isinf __P ((double __value)) __attribute__ ((__const__));
-
-/* Return nonzero if VALUE is not a number.  */
-extern int __isnan __P ((double __value)) __attribute__ ((__const__));
-
-/* Return nonzero if VALUE is finite and not NaN.  */
-extern int __finite __P ((double __value)) __attribute__ ((__const__));
-#ifdef	__OPTIMIZE__
-#define	__finite(value)	(!__isinf(value))
 #endif

-/* Deal with an infinite or NaN result.
-   If ERROR is ERANGE, result is +Inf;
-   if ERROR is - ERANGE, result is -Inf;
-   otherwise result is NaN.
-   This will set `errno' to either ERANGE or EDOM,
-   and may return an infinity or NaN, or may do something else.  */
-extern double __infnan __P ((int __error));
-
-/* Return X with its signed changed to Y's.  */
-extern double __copysign __P ((double __x, double __y))
-     __attribute__ ((__const__));
-
-/* Return X times (2 to the Nth power).  */
-extern double __scalb __P ((double __x, int __n))
-     __attribute__ ((__const__));
-
-#ifdef	__OPTIMIZE__
-#define	__scalb(x, n)	ldexp ((x), (n))
-#endif
-
-/* Return the remainder of X/Y.  */
-extern double __drem __P ((double __x, double __y))
-     __attribute__ ((__const__));
-
-/* Return the base 2 signed integral exponent of X.  */
-extern double __logb __P ((double __x)) __attribute__ ((__const__));
-
-#ifdef	__USE_MISC
-
-/* Return the integer nearest X in the direction of the
-   prevailing rounding mode.  */
-extern double __rint __P ((double __x)) __attribute__ ((__const__));
-extern double rint __P ((double __x)) __attribute__ ((__const__));
-
-/* Return `sqrt(X*X + Y*Y)'.  */
-extern double hypot __P ((double __x, double __y)) __attribute__ ((__const__));
-
-struct __cabs_complex
-{
-  double __x, __y;
-};
-
-/* Return `sqrt(X*X + Y*Y)'.  */
-extern double cabs __P ((struct __cabs_complex)) __attribute__ ((__const__));
-
-extern int isinf __P ((double __value)) __attribute__ ((__const__));
-extern int isnan __P ((double __value)) __attribute__ ((__const__));
-extern int finite __P ((double __value)) __attribute__ ((__const__));
-extern double infnan __P ((int __error)) __attribute__ ((__const__));
-extern double copysign __P ((double __x, double __y))
-     __attribute__ ((__const__));
-extern double scalb __P ((double __x, int __n)) __attribute__ ((__const__));
-extern double drem __P ((double __x, double __y)) __attribute__ ((__const__));
-extern double logb __P ((double __x)) __attribute__ ((__const__));
-
-#ifdef	__OPTIMIZE__
-#define	isinf(value)	__isinf(value)
-#define	isnan(value)	__isnan(value)
-#define	infnan(error)	__infnan(error)
-#define	finite(value)	__finite(value)
-#define	copysign(x, y)	__copysign((x), (y))
-#define	scalb(x, n)	__scalb((x), (n))
-#define	drem(x, y)	__drem((x), (y))
-#define	logb(x)		__logb(x)
-#endif /* Optimizing.  */
-
-#endif /* Use misc.  */
-
-
-#if 0
-/* The "Future Library Directions" section of the
-   ANSI Standard reserves these as `float' and
-   `long double' versions of the above functions.  */
-
-extern float acosf __P ((float __x)) __attribute__ ((__const__));
-extern float asinf __P ((float __x)) __attribute__ ((__const__));
-extern float atanf __P ((float __x)) __attribute__ ((__const__));
-extern float atan2f __P ((float __y, float __x)) __attribute__ ((__const__));
-extern float cosf __P ((float __x)) __attribute__ ((__const__));
-extern float sinf __P ((float __x)) __attribute__ ((__const__));
-extern float tanf __P ((float __x)) __attribute__ ((__const__));
-extern float coshf __P ((float __x)) __attribute__ ((__const__));
-extern float sinhf __P ((float __x)) __attribute__ ((__const__));
-extern float tanhf __P ((float __x)) __attribute__ ((__const__));
-extern float expf __P ((float __x)) __attribute__ ((__const__));
-extern float frexpf __P ((float __value, int *__exp));
-extern float ldexpf __P ((float __x, int __exp)) __attribute__ ((__const__));
-extern float logf __P ((float __x)) __attribute__ ((__const__));
-extern float log10f __P ((float __x)) __attribute__ ((__const__));
-extern float modff __P ((float __value, float *__iptr));
-extern float powf __P ((float __x, float __y)) __attribute__ ((__const__));
-extern float sqrtf __P ((float __x)) __attribute__ ((__const__));
-extern float ceilf __P ((float __x)) __attribute__ ((__const__));
-extern float fabsf __P ((float __x)) __attribute__ ((__const__));
-extern float floorf __P ((float __x)) __attribute__ ((__const__));
-extern float fmodf __P ((float __x, float __y)) __attribute__ ((__const__));
-
-extern __long_double_t acosl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t asinl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t atanl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t atan2l __P ((__long_double_t __y, __long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t cosl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t sinl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t tanl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t coshl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t sinhl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t tanhl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t expl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t frexpl __P ((__long_double_t __value, int *__exp));
-extern __long_double_t ldexpl __P ((__long_double_t __x, int __exp))
-     __attribute__ ((__const__));
-extern __long_double_t logl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t log10l __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t modfl __P ((__long_double_t __value,
-				   __long_double_t *__ip));
-extern __long_double_t powl __P ((__long_double_t __x, __long_double_t __y))
-     __attribute__ ((__const__));
-extern __long_double_t sqrtl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t ceill __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t fabsl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t floorl __P ((__long_double_t __x))
-     __attribute__ ((__const__));
-extern __long_double_t fmodl __P ((__long_double_t __x, __long_double_t __y))
-     __attribute__ ((__const__));
-#endif /* 0 */

 /* Get machine-dependent inline versions (if there are any).  */
 #include <__math.h>

+
 __END_DECLS


--- a/math/math_private.h
+++ b/math/math_private.h
@ -0,0 +1,222 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * from: @(#)fdlibm.h 5.1 93/09/24
+ * $Id$
+ */
+
+#ifndef _MATH_PRIVATE_H_
+#define _MATH_PRIVATE_H_
+
+#include <machine/endian.h>
+#include <sys/types.h>
+
+/* The original fdlibm code used statements like:
+	n0 = ((*(int*)&one)>>29)^1;		* index of high word *
+	ix0 = *(n0+(int*)&x);			* high word of x *
+	ix1 = *((1-n0)+(int*)&x);		* low word of x *
+   to dig two 32 bit words out of the 64 bit IEEE floating point
+   value.  That is non-ANSI, and, moreover, the gcc instruction
+   scheduler gets it wrong.  We instead use the following macros.
+   Unlike the original code, we determine the endianness at compile
+   time, not at run time; I don't see much benefit to selecting
+   endianness at run time.  */
+
+/* A union which permits us to convert between a double and two 32 bit
+   ints.  */
+
+#if BYTE_ORDER == BIG_ENDIAN
+
+typedef union
+{
+  double value;
+  struct
+  {
+    u_int32_t msw;
+    u_int32_t lsw;
+  } parts;
+} ieee_double_shape_type;
+
+#endif
+
+#if BYTE_ORDER == LITTLE_ENDIAN
+
+typedef union
+{
+  double value;
+  struct
+  {
+    u_int32_t lsw;
+    u_int32_t msw;
+  } parts;
+} ieee_double_shape_type;
+
+#endif
+
+/* Get two 32 bit ints from a double.  */
+
+#define EXTRACT_WORDS(ix0,ix1,d)				\
+do {								\
+  ieee_double_shape_type ew_u;					\
+  ew_u.value = (d);						\
+  (ix0) = ew_u.parts.msw;					\
+  (ix1) = ew_u.parts.lsw;					\
+} while (0)
+
+/* Get the more significant 32 bit int from a double.  */
+
+#define GET_HIGH_WORD(i,d)					\
+do {								\
+  ieee_double_shape_type gh_u;					\
+  gh_u.value = (d);						\
+  (i) = gh_u.parts.msw;						\
+} while (0)
+
+/* Get the less significant 32 bit int from a double.  */
+
+#define GET_LOW_WORD(i,d)					\
+do {								\
+  ieee_double_shape_type gl_u;					\
+  gl_u.value = (d);						\
+  (i) = gl_u.parts.lsw;						\
+} while (0)
+
+/* Set a double from two 32 bit ints.  */
+
+#define INSERT_WORDS(d,ix0,ix1)					\
+do {								\
+  ieee_double_shape_type iw_u;					\
+  iw_u.parts.msw = (ix0);					\
+  iw_u.parts.lsw = (ix1);					\
+  (d) = iw_u.value;						\
+} while (0)
+
+/* Set the more significant 32 bits of a double from an int.  */
+
+#define SET_HIGH_WORD(d,v)					\
+do {								\
+  ieee_double_shape_type sh_u;					\
+  sh_u.value = (d);						\
+  sh_u.parts.msw = (v);						\
+  (d) = sh_u.value;						\
+} while (0)
+
+/* Set the less significant 32 bits of a double from an int.  */
+
+#define SET_LOW_WORD(d,v)					\
+do {								\
+  ieee_double_shape_type sl_u;					\
+  sl_u.value = (d);						\
+  sl_u.parts.lsw = (v);						\
+  (d) = sl_u.value;						\
+} while (0)
+
+/* A union which permits us to convert between a float and a 32 bit
+   int.  */
+
+typedef union
+{
+  float value;
+  u_int32_t word;
+} ieee_float_shape_type;
+
+/* Get a 32 bit int from a float.  */
+
+#define GET_FLOAT_WORD(i,d)					\
+do {								\
+  ieee_float_shape_type gf_u;					\
+  gf_u.value = (d);						\
+  (i) = gf_u.word;						\
+} while (0)
+
+/* Set a float from a 32 bit int.  */
+
+#define SET_FLOAT_WORD(d,i)					\
+do {								\
+  ieee_float_shape_type sf_u;					\
+  sf_u.word = (i);						\
+  (d) = sf_u.value;						\
+} while (0)
+
+/* ieee style elementary functions */
+extern double __ieee754_sqrt __P((double));
+extern double __ieee754_acos __P((double));
+extern double __ieee754_acosh __P((double));
+extern double __ieee754_log __P((double));
+extern double __ieee754_atanh __P((double));
+extern double __ieee754_asin __P((double));
+extern double __ieee754_atan2 __P((double,double));
+extern double __ieee754_exp __P((double));
+extern double __ieee754_cosh __P((double));
+extern double __ieee754_fmod __P((double,double));
+extern double __ieee754_pow __P((double,double));
+extern double __ieee754_lgamma_r __P((double,int *));
+extern double __ieee754_gamma_r __P((double,int *));
+extern double __ieee754_lgamma __P((double));
+extern double __ieee754_gamma __P((double));
+extern double __ieee754_log10 __P((double));
+extern double __ieee754_sinh __P((double));
+extern double __ieee754_hypot __P((double,double));
+extern double __ieee754_j0 __P((double));
+extern double __ieee754_j1 __P((double));
+extern double __ieee754_y0 __P((double));
+extern double __ieee754_y1 __P((double));
+extern double __ieee754_jn __P((int,double));
+extern double __ieee754_yn __P((int,double));
+extern double __ieee754_remainder __P((double,double));
+extern int    __ieee754_rem_pio2 __P((double,double*));
+extern double __ieee754_scalb __P((double,double));
+
+/* fdlibm kernel function */
+extern double __kernel_standard __P((double,double,int));
+extern double __kernel_sin __P((double,double,int));
+extern double __kernel_cos __P((double,double));
+extern double __kernel_tan __P((double,double,int));
+extern int    __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
+
+
+/* ieee style elementary float functions */
+extern float __ieee754_sqrtf __P((float));
+extern float __ieee754_acosf __P((float));
+extern float __ieee754_acoshf __P((float));
+extern float __ieee754_logf __P((float));
+extern float __ieee754_atanhf __P((float));
+extern float __ieee754_asinf __P((float));
+extern float __ieee754_atan2f __P((float,float));
+extern float __ieee754_expf __P((float));
+extern float __ieee754_coshf __P((float));
+extern float __ieee754_fmodf __P((float,float));
+extern float __ieee754_powf __P((float,float));
+extern float __ieee754_lgammaf_r __P((float,int *));
+extern float __ieee754_gammaf_r __P((float,int *));
+extern float __ieee754_lgammaf __P((float));
+extern float __ieee754_gammaf __P((float));
+extern float __ieee754_log10f __P((float));
+extern float __ieee754_sinhf __P((float));
+extern float __ieee754_hypotf __P((float,float));
+extern float __ieee754_j0f __P((float));
+extern float __ieee754_j1f __P((float));
+extern float __ieee754_y0f __P((float));
+extern float __ieee754_y1f __P((float));
+extern float __ieee754_jnf __P((int,float));
+extern float __ieee754_ynf __P((int,float));
+extern float __ieee754_remainderf __P((float,float));
+extern int   __ieee754_rem_pio2f __P((float,float*));
+extern float __ieee754_scalbf __P((float,float));
+
+/* float versions of fdlibm kernel functions */
+extern float __kernel_sinf __P((float,float,int));
+extern float __kernel_cosf __P((float,float));
+extern float __kernel_tanf __P((float,float,int));
+extern int   __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
+
+#endif /* _MATH_PRIVATE_H_ */
--- a/math/mathcalls.h
+++ b/math/mathcalls.h
@ -0,0 +1,232 @@
+/* Prototype declarations for math functions; helper file for <math.h>.
+Copyright (C) 1996 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 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., 675 Mass Ave,
+Cambridge, MA 02139, USA.  */
+
+/* NOTE: Because of the special way this file is used by <math.h>, this
+   file must NOT be protected from multiple inclusion as header files
+   usually are.
+
+   This file provides prototype declarations for the math functions.
+   Most functions are declared using the macro:
+
+   __MATHCALL (NAME,[_r], (ARGS...));
+
+   This means there is a function `NAME' returning `double' and a function
+   `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the
+   prototype, that is actually `double' in the prototype for `NAME' and
+   `float' in the prototype for `NAMEf'.  Reentrant variant functions are
+   called `NAME_r' and `NAMEf_r'.
+
+   Functions returning other types like `int' are declared using the macro:
+
+   __MATHDECL (TYPE, NAME,[_r], (ARGS...));
+
+   This is just like __MATHCALL but for a function returning `TYPE'
+   instead of `_Mdouble_'.  In all of these cases, there is still
+   both a `NAME' and a `NAMEf' that takes `float' arguments.  */
+
+#ifndef _MATH_H
+ #error "Never include mathcalls.h directly; include <math.h> instead."
+#endif
+
+
+/* Trigonometric functions.  */
+
+/* Arc cosine of X.  */
+__MATHCALL (acos,, (_Mdouble_ __x));
+/* Arc sine of X.  */
+__MATHCALL (asin,, (_Mdouble_ __x));
+/* Arc tangent of X.  */
+__MATHCALL (atan,, (_Mdouble_ __x));
+/* Arc tangent of Y/X.  */
+__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
+
+/* Cosine of X.  */
+__MATHCALL (cos,, (_Mdouble_ __x));
+/* Sine of X.  */
+__MATHCALL (sin,, (_Mdouble_ __x));
+/* Tangent of X.  */
+__MATHCALL (tan,, (_Mdouble_ __x));
+
+
+/* Hyperbolic functions.  */
+
+/* Hyperbolic cosine of X.  */
+__MATHCALL (cosh,, (_Mdouble_ __x));
+/* Hyperbolic sine of X.  */
+__MATHCALL (sinh,, (_Mdouble_ __x));
+/* Hyperbolic tangent of X.  */
+__MATHCALL (tanh,, (_Mdouble_ __x));
+
+#ifdef	__USE_MISC
+/* Hyperbolic arc cosine of X.  */
+__MATHCALL (acosh,, (_Mdouble_ __x));
+/* Hyperbolic arc sine of X.  */
+__MATHCALL (asinh,, (_Mdouble_ __x));
+/* Hyperbolic arc tangent of X.  */
+__MATHCALL (atanh,, (_Mdouble_ __x));
+#endif
+
+/* Exponential and logarithmic functions.  */
+
+/* Exponentional function of X.  */
+__MATHCALL (exp,, (_Mdouble_ __x));
+
+/* Break VALUE into a normalized fraction and an integral power of 2.  */
+__MATHCALL (frexp,, (_Mdouble_ __value, int *__exp));
+
+/* X times (two to the EXP power).  */
+__MATHCALL (ldexp,, (_Mdouble_ __x, int __exp));
+
+/* Natural logarithm of X.  */
+__MATHCALL (log,, (_Mdouble_ __x));
+
+/* Base-ten logarithm of X.  */
+__MATHCALL (log10,, (_Mdouble_ __x));
+
+#ifdef	__USE_MISC
+/* Return exp(X) - 1.  */
+__MATHCALL (expm1,, (_Mdouble_ __x));
+
+/* Return log(1 + X).  */
+__MATHCALL (log1p,, (_Mdouble_ __x));
+#endif
+
+/* Break VALUE into integral and fractional parts.  */
+__MATHCALL (modf,, (_Mdouble_ __value, _Mdouble_ *__iptr));
+
+
+/* Power functions.  */
+
+/* Return X to the Y power.  */
+__MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the square root of X.  */
+__MATHCALL (sqrt,, (_Mdouble_ __x));
+
+#ifdef	__USE_MISC
+/* Return the cube root of X.  */
+__MATHCALL (cbrt,, (_Mdouble_ __x));
+#endif
+
+
+/* Nearest integer, absolute value, and remainder functions.  */
+
+/* Smallest integral value not less than X.  */
+__MATHCALL (ceil,, (_Mdouble_ __x));
+
+/* Absolute value of X.  */
+__MATHCALL (fabs,, (_Mdouble_ __x));
+
+/* Largest integer not greater than X.  */
+__MATHCALL (floor,, (_Mdouble_ __x));
+
+/* Floating-point modulo remainder of X/Y.  */
+__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
+
+
+#ifdef __USE_MISC
+
+/* Return 0 if VALUE is finite or NaN, +1 if it
+   is +Infinity, -1 if it is -Infinity.  */
+__MATHDECL (int, isinf,, (_Mdouble_ __value));
+
+/* Return nonzero if VALUE is not a number.  */
+__MATHDECL (int, isnan,, (_Mdouble_ __value));
+
+/* Return nonzero if VALUE is finite and not NaN.  */
+__MATHDECL (int, finite,, (_Mdouble_ __value));
+
+/* Deal with an infinite or NaN result.
+   If ERROR is ERANGE, result is +Inf;
+   if ERROR is - ERANGE, result is -Inf;
+   otherwise result is NaN.
+   This will set `errno' to either ERANGE or EDOM,
+   and may return an infinity or NaN, or may do something else.  */
+__MATHCALL (infnan,, (int __error));
+
+/* Return X with its signed changed to Y's.  */
+__MATHCALL (copysign,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return X times (2 to the Nth power).  */
+__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
+
+/* Return X times (2 to the Nth power).  */
+__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
+
+/* Return the remainder of X/Y.  */
+__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the base 2 signed integral exponent of X.  */
+__MATHCALL (logb,, (_Mdouble_ __x));
+
+/* Return the integer nearest X in the direction of the
+   prevailing rounding mode.  */
+__MATHCALL (rint,, (_Mdouble_ __x));
+
+/* Return `sqrt(X*X + Y*Y)'.  */
+__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
+
+struct __MATH_PRECNAME(__cabs_complex,)
+{
+  _Mdouble_ x, y;
+};
+
+/* Return `sqrt(X*X + Y*Y)'.  */
+__MATHCALL (cabs,, (struct __MATH_PRECNAME(__cabs_complex,)));
+
+
+/* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
+__MATHCALL (nextafter,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the remainder of integer divison X / Y with infinite precision.  */
+__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the binary exponent of X, which must be nonzero.  */
+__MATHDECL (int, ilogb,, (_Mdouble_ __x));
+
+/* Return the fractional part of X after dividing out `ilogb (X)'.  */
+__MATHCALL (significand,, (_Mdouble_ __x));
+
+
+
+/* Error, gamma, and Bessel functions.  */
+__MATHCALL (erf,, (_Mdouble_));
+__MATHCALL (erfc,, (_Mdouble_));
+__MATHCALL (gamma,, (_Mdouble_));
+__MATHCALL (j0,, (_Mdouble_));
+__MATHCALL (j1,, (_Mdouble_));
+__MATHCALL (jn,, (int, _Mdouble_));
+__MATHCALL (lgamma,, (_Mdouble_));
+__MATHCALL (y0,, (_Mdouble_));
+__MATHCALL (y1,, (_Mdouble_));
+__MATHCALL (yn,, (int, _Mdouble_));
+
+/* This variable is used by `gamma' and `lgamma'.  */
+extern int signgam;
+
+#ifdef __USE_REENTRANT
+
+/* Reentrant versions of gamma and lgamma.  Those functions use the global
+   variable `signgam'.  The reentrant versions instead take a pointer and
+   store the value through it.  */
+__MATHCALL (gamma,_r, (_Mdouble_, int *));
+__MATHCALL (lgamma,_r, (_Mdouble_, int *));
+#endif
+
+#endif /* Use misc.  */
--- a/mathcalls.h
+++ b/mathcalls.h
@ -0,0 +1 @@
+#include <math/mathcalls.h>
--- a/sysdeps/generic/Makefile
+++ b/sysdeps/generic/Makefile
@ -16,18 +16,6 @@
 # not, write to the Free Software Foundation, Inc., 675 Mass Ave,
 # Cambridge, MA 02139, USA.

-ifeq	($(subdir),math)
-ifndef	math-twiddled
-
-sysdep_routines += sincos asincos exp__E log__L
-elided-routines += acos asin cos sin
-
-math-twiddled := t
-override +gccwarn := -w
-endif
-
-endif
-
 ifeq (,$(filter-out $(sysdep_dir)/stub/ $(common-objpfx),\
 	$(dir $(firstword $(wildcard $(+sysdep_dirs:%=%/bytesex.h))))))

--- a/sysdeps/i386/fpu/Implies
+++ b/sysdeps/i386/fpu/Implies
@ -0,0 +1,2 @@
+# For x86 machines with FPU, use the i387 port of libm by JT Conklin.
+libm-i387
--- a/sysdeps/ieee754/Implies
+++ b/sysdeps/ieee754/Implies
@ -0,0 +1,2 @@
+# For all IEEE machines, use Sun's fdlibm code.
+libm-ieee754
--- a/sysdeps/libm-i387/e_acos.S
+++ b/sysdeps/libm-i387/e_acos.S
@ -0,0 +1,20 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_acos.S,v 1.4 1995/05/08 23:44:37 jtc Exp $")
+
+/* acos = atan (sqrt(1 - x^2) / x) */
+ENTRY(__ieee754_acos)
+	fldl	4(%esp)			/* x */
+	fst	%st(1)
+	fmul	%st(0)			/* x^2 */
+	fld1				
+	fsubp				/* 1 - x^2 */
+	fsqrt				/* sqrt (1 - x^2) */
+	fxch	%st(1)
+	fpatan
+	ret
--- a/sysdeps/libm-i387/e_asin.S
+++ b/sysdeps/libm-i387/e_asin.S
@ -0,0 +1,19 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_asin.S,v 1.4 1995/05/08 23:45:40 jtc Exp $")
+
+/* asin = atan (x / sqrt(1 - x^2)) */
+ENTRY(__ieee754_asin)
+	fldl	4(%esp)			/* x */
+	fst	%st(1)
+	fmul	%st(0)			/* x^2 */
+	fld1
+	fsubp				/* 1 - x^2 */
+	fsqrt				/* sqrt (1 - x^2) */
+	fpatan
+	ret
--- a/sysdeps/libm-i387/e_atan2.S
+++ b/sysdeps/libm-i387/e_atan2.S
@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_atan2.S,v 1.4 1995/05/08 23:46:28 jtc Exp $")
+
+ENTRY(__ieee754_atan2)
+	fldl	 4(%esp)
+	fldl	12(%esp)
+	fpatan
+	ret
--- a/sysdeps/libm-i387/e_atan2f.S
+++ b/sysdeps/libm-i387/e_atan2f.S
@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_atan2f.S,v 1.1 1995/05/08 23:35:10 jtc Exp $")
+
+ENTRY(__ieee754_atan2f)
+	flds	4(%esp)
+	flds	8(%esp)
+	fpatan
+	ret
--- a/sysdeps/libm-i387/e_exp.S
+++ b/sysdeps/libm-i387/e_exp.S
@ -0,0 +1,23 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_exp.S,v 1.4 1995/05/08 23:47:04 jtc Exp $")
+
+/* e^x = 2^(x * log2(e)) */
+ENTRY(__ieee754_exp)
+	fldl	4(%esp)
+	fldl2e
+	fmulp				/* x * log2(e) */
+	fstl	%st(1)
+	frndint				/* int(x * log2(e)) */
+	fstl	%st(2)
+	fsubrp				/* fract(x * log2(e)) */
+	f2xm1				/* 2^(fract(x * log2(e))) - 1 */ 
+	fld1
+	faddp				/* 2^(fract(x * log2(e))) */
+	fscale				/* e^x */
+	ret
--- a/sysdeps/libm-i387/e_fmod.S
+++ b/sysdeps/libm-i387/e_fmod.S
@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_fmod.S,v 1.4 1995/05/08 23:47:56 jtc Exp $")
+
+ENTRY(__ieee754_fmod)
+	fldl	12(%esp)
+	fldl	4(%esp)
+1:	fprem
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstpl	%st(1)
+	ret
--- a/sysdeps/libm-i387/e_log.S
+++ b/sysdeps/libm-i387/e_log.S
@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_log.S,v 1.4 1995/05/08 23:48:39 jtc Exp $")
+
+ENTRY(__ieee754_log)
+	fldln2
+	fldl	4(%esp)
+	fyl2x
+	ret
--- a/sysdeps/libm-i387/e_log10.S
+++ b/sysdeps/libm-i387/e_log10.S
@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_log10.S,v 1.4 1995/05/08 23:49:24 jtc Exp $")
+
+ENTRY(__ieee754_log10)
+	fldlg2
+	fldl	4(%esp)
+	fyl2x
+	ret
--- a/sysdeps/libm-i387/e_remainder.S
+++ b/sysdeps/libm-i387/e_remainder.S
@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_remainder.S,v 1.4 1995/05/08 23:49:37 jtc Exp $")
+
+ENTRY(__ieee754_remainder)
+	fldl	12(%esp)
+	fldl	4(%esp)
+1:	fprem1
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstpl	%st(1)
+	ret
--- a/sysdeps/libm-i387/e_remainderf.S
+++ b/sysdeps/libm-i387/e_remainderf.S
@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_remainderf.S,v 1.2 1995/05/08 23:49:47 jtc Exp $")
+
+ENTRY(__ieee754_remainderf)
+	flds	8(%esp)
+	flds	4(%esp)
+1:	fprem1
+	fstsw	%ax
+	sahf
+	jp	1b
+	fstpl	%st(1)
+	ret
--- a/sysdeps/libm-i387/e_scalb.S
+++ b/sysdeps/libm-i387/e_scalb.S
@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_scalb.S,v 1.4 1995/05/08 23:49:52 jtc Exp $")
+
+ENTRY(__ieee754_scalb)
+	fldl	12(%esp)
+	fldl	4(%esp)
+	fscale
+	ret
--- a/sysdeps/libm-i387/e_sqrt.S
+++ b/sysdeps/libm-i387/e_sqrt.S
@ -0,0 +1,13 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_sqrt.S,v 1.4 1995/05/08 23:49:57 jtc Exp $")
+
+ENTRY(__ieee754_sqrt)
+	fldl	4(%esp)
+	fsqrt
+	ret
--- a/sysdeps/libm-i387/e_sqrtf.S
+++ b/sysdeps/libm-i387/e_sqrtf.S
@ -0,0 +1,13 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_sqrtf.S,v 1.2 1995/05/08 23:50:14 jtc Exp $")
+
+ENTRY(__ieee754_sqrtf)
+	flds	4(%esp)
+	fsqrt
+	ret
--- a/sysdeps/libm-i387/s_atan.S
+++ b/sysdeps/libm-i387/s_atan.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_atan.S,v 1.4 1995/05/08 23:50:41 jtc Exp $")
+
+ENTRY(__atan)
+	fldl	4(%esp)
+	fld1
+	fpatan
+	ret
+weak_alias (__atan, atan)
--- a/sysdeps/libm-i387/s_atanf.S
+++ b/sysdeps/libm-i387/s_atanf.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_atanf.S,v 1.3 1995/05/08 23:51:33 jtc Exp $")
+
+ENTRY(__atanf)
+	flds	4(%esp)
+	fld1
+	fpatan
+	ret
+weak_alias (__atanf, atanf)
--- a/sysdeps/libm-i387/s_ceil.S
+++ b/sysdeps/libm-i387/s_ceil.S
@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_ceil.S,v 1.4 1995/05/08 23:52:13 jtc Exp $")
+
+ENTRY(__ceil)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-12(%ebp)		/* store fpu control word */
+	movw	-12(%ebp),%dx
+	orw	$0x0800,%dx		/* round towards +oo */
+	andw	$0xfbff,%dx
+	movw	%dx,-16(%ebp)
+	fldcw	-16(%ebp)		/* load modfied control word */
+
+	fldl	8(%ebp);		/* round */
+	frndint
+
+	fldcw	-12(%ebp)		/* restore original control word */
+
+	leave
+	ret
+weak_alias (__ceil, ceil)
--- a/sysdeps/libm-i387/s_ceilf.S
+++ b/sysdeps/libm-i387/s_ceilf.S
@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_ceilf.S,v 1.3 1995/05/08 23:52:44 jtc Exp $")
+
+ENTRY(__ceilf)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-12(%ebp)		/* store fpu control word */
+	movw	-12(%ebp),%dx
+	orw	$0x0800,%dx		/* round towards +oo */
+	andw	$0xfbff,%dx
+	movw	%dx,-16(%ebp)
+	fldcw	-16(%ebp)		/* load modfied control word */
+
+	flds	8(%ebp);		/* round */
+	frndint
+
+	fldcw	-12(%ebp)		/* restore original control word */
+
+	leave
+	ret
+weak_alias (__ceilf, ceilf)
--- a/sysdeps/libm-i387/s_copysign.S
+++ b/sysdeps/libm-i387/s_copysign.S
@ -0,0 +1,19 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_copysign.S,v 1.4 1995/05/08 23:53:02 jtc Exp $")
+
+ENTRY(__copysign)
+	movl	16(%esp),%edx
+	andl	$0x80000000,%edx
+	movl	8(%esp),%eax
+	andl	$0x7fffffff,%eax
+	orl	%edx,%eax
+	movl	%eax,8(%esp)
+	fldl	4(%esp)
+	ret
+weak_alias (__copysign, copysign)
--- a/sysdeps/libm-i387/s_copysignf.S
+++ b/sysdeps/libm-i387/s_copysignf.S
@ -0,0 +1,19 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_copysignf.S,v 1.3 1995/05/08 23:53:25 jtc Exp $")
+
+ENTRY(__copysignf)
+	movl	8(%esp),%edx
+	andl	$0x80000000,%edx
+	movl	4(%esp),%eax
+	andl	$0x7fffffff,%eax
+	orl	%edx,%eax
+	movl	%eax,4(%esp)
+	flds	4(%esp)
+	ret
+weak_alias (__copysignf, copysignf)
--- a/sysdeps/libm-i387/s_cos.S
+++ b/sysdeps/libm-i387/s_cos.S
@ -0,0 +1,27 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_cos.S,v 1.5 1995/05/08 23:54:00 jtc Exp $")
+
+ENTRY(__cos)
+	fldl	4(%esp)
+	fcos
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	1f
+	ret	
+1:	fldpi
+	fadd	%st(0)
+	fxch	%st(1)
+2:	fprem1
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	2b
+	fstp	%st(1)
+	fcos
+	ret
+weak_alias (__cos, cos)
--- a/sysdeps/libm-i387/s_cosf.S
+++ b/sysdeps/libm-i387/s_cosf.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_cosf.S,v 1.3 1995/05/08 23:55:16 jtc Exp $")
+
+/* A float's domain isn't large enough to require argument reduction. */
+ENTRY(__cosf)
+	flds	4(%esp)
+	fcos
+	ret	
+weak_alias (__cosf, cosf)
--- a/sysdeps/libm-i387/s_finite.S
+++ b/sysdeps/libm-i387/s_finite.S
@ -0,0 +1,17 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_finite.S,v 1.4 1995/05/08 23:57:41 jtc Exp $")
+
+ENTRY(__finite)
+	movl	8(%esp),%eax
+	andl	$0x7ff00000, %eax
+	cmpl	$0x7ff00000, %eax
+	setnel	%al
+	andl	$0x000000ff, %eax
+	ret
+weak_alias (__finite, finite)
--- a/sysdeps/libm-i387/s_finitef.S
+++ b/sysdeps/libm-i387/s_finitef.S
@ -0,0 +1,17 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_finitef.S,v 1.3 1995/05/09 00:00:02 jtc Exp $")
+
+ENTRY(__finitef)
+	movl	4(%esp),%eax
+	andl	$0x7ff00000, %eax
+	cmpl	$0x7ff00000, %eax
+	setnel	%al
+	andl	$0x000000ff, %eax
+	ret
+weak_alias (__finitef, finitef)
--- a/sysdeps/libm-i387/s_floor.S
+++ b/sysdeps/libm-i387/s_floor.S
@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_floor.S,v 1.4 1995/05/09 00:01:59 jtc Exp $")
+
+ENTRY(__floor)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-12(%ebp)		/* store fpu control word */
+	movw	-12(%ebp),%dx
+	orw	$0x0400,%dx		/* round towards -oo */
+	andw	$0xf7ff,%dx
+	movw	%dx,-16(%ebp)
+	fldcw	-16(%ebp)		/* load modfied control word */
+
+	fldl	8(%ebp);		/* round */
+	frndint
+
+	fldcw	-12(%ebp)		/* restore original control word */
+
+	leave
+	ret
+weak_alias (__floor, floor)
--- a/sysdeps/libm-i387/s_floorf.S
+++ b/sysdeps/libm-i387/s_floorf.S
@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_floorf.S,v 1.3 1995/05/09 00:04:32 jtc Exp $")
+
+ENTRY(__floorf)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$8,%esp
+
+	fstcw	-12(%ebp)		/* store fpu control word */
+	movw	-12(%ebp),%dx
+	orw	$0x0400,%dx		/* round towards -oo */
+	andw	$0xf7ff,%dx
+	movw	%dx,-16(%ebp)
+	fldcw	-16(%ebp)		/* load modfied control word */
+
+	flds	8(%ebp);		/* round */
+	frndint
+
+	fldcw	-12(%ebp)		/* restore original control word */
+
+	leave
+	ret
+weak_alias (__floorf, floorf)
--- a/sysdeps/libm-i387/s_ilogb.S
+++ b/sysdeps/libm-i387/s_ilogb.S
@ -0,0 +1,24 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_ilogb.S,v 1.5 1995/10/12 15:53:09 jtc Exp $")
+
+ENTRY(__ilogb)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$4,%esp
+
+	fldl	8(%ebp)
+	fxtract
+	fstpl	%st
+
+	fistpl	-4(%ebp)
+	movl	-4(%ebp),%eax
+
+	leave
+	ret
+weak_alias (__ilogb, ilogb)
--- a/sysdeps/libm-i387/s_ilogbf.S
+++ b/sysdeps/libm-i387/s_ilogbf.S
@ -0,0 +1,24 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_ilogbf.S,v 1.4 1995/10/22 20:32:43 pk Exp $")
+
+ENTRY(__ilogbf)
+	pushl	%ebp
+	movl	%esp,%ebp
+	subl	$4,%esp
+
+	flds	8(%ebp)
+	fxtract
+	fstpl	%st
+
+	fistpl	-4(%ebp)
+	movl	-4(%ebp),%eax
+
+	leave
+	ret
+weak_alias (__ilogbf, ilogbf)
--- a/sysdeps/libm-i387/s_log1p.S
+++ b/sysdeps/libm-i387/s_log1p.S
@ -0,0 +1,23 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_log1p.S,v 1.7 1995/05/09 00:10:58 jtc Exp $")
+
+/*
+ * Since the fyl2xp1 instruction has such a limited range:
+ *	-(1 - (sqrt(2) / 2)) <= x <= sqrt(2) - 1
+ * it's not worth trying to use it.  
+ */
+
+ENTRY(__log1p)
+	fldln2
+	fldl 4(%esp)
+	fld1
+	faddp
+	fyl2x
+	ret
+weak_alias (__log1p, log1p)
--- a/sysdeps/libm-i387/s_log1pf.S
+++ b/sysdeps/libm-i387/s_log1pf.S
@ -0,0 +1,23 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_log1pf.S,v 1.4 1995/05/09 00:13:05 jtc Exp $")
+
+/*
+ * Since the fyl2xp1 instruction has such a limited range:
+ *	-(1 - (sqrt(2) / 2)) <= x <= sqrt(2) - 1
+ * it's not worth trying to use it.  
+ */
+
+ENTRY(__log1pf)
+	fldln2
+	flds 4(%esp)
+	fld1
+	faddp
+	fyl2x
+	ret
+weak_alias (__log1pf, log1pf)
--- a/sysdeps/libm-i387/s_logb.S
+++ b/sysdeps/libm-i387/s_logb.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_logb.S,v 1.4 1995/05/09 00:14:30 jtc Exp $")
+
+ENTRY(__logb)
+	fldl	4(%esp)
+	fxtract
+	fstpl	%st
+	ret
+weak_alias (__logb, logb)
--- a/sysdeps/libm-i387/s_logbf.S
+++ b/sysdeps/libm-i387/s_logbf.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_logbf.S,v 1.3 1995/05/09 00:15:12 jtc Exp $")
+
+ENTRY(__logbf)
+	flds	4(%esp)
+	fxtract
+	fstpl	%st
+	ret
+weak_alias (__logbf, logbf)
--- a/sysdeps/libm-i387/s_rint.S
+++ b/sysdeps/libm-i387/s_rint.S
@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_rint.S,v 1.4 1995/05/09 00:16:08 jtc Exp $")
+
+ENTRY(__rint)
+	fldl	4(%esp)
+	frndint
+	ret
+weak_alias (__rint, rint)
--- a/sysdeps/libm-i387/s_rintf.S
+++ b/sysdeps/libm-i387/s_rintf.S
@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_rintf.S,v 1.3 1995/05/09 00:17:22 jtc Exp $")
+
+ENTRY(__rintf)
+	flds	4(%esp)
+	frndint
+	ret
+weak_alias (__rintf, rintf)
--- a/sysdeps/libm-i387/s_scalbn.S
+++ b/sysdeps/libm-i387/s_scalbn.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_scalbn.S,v 1.4 1995/05/09 00:19:06 jtc Exp $")
+
+ENTRY(__scalbn)
+	fildl	12(%esp)
+	fldl	4(%esp)
+	fscale
+	ret
+weak_alias (__scalbn, scalbn)
--- a/sysdeps/libm-i387/s_scalbnf.S
+++ b/sysdeps/libm-i387/s_scalbnf.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_scalbnf.S,v 1.3 1995/05/09 00:19:59 jtc Exp $")
+
+ENTRY(__scalbnf)
+	fildl	8(%esp)
+	flds	4(%esp)
+	fscale
+	ret
+weak_alias (__scalbnf, scalbnf)
--- a/sysdeps/libm-i387/s_significand.S
+++ b/sysdeps/libm-i387/s_significand.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_significand.S,v 1.4 1995/05/09 00:21:47 jtc Exp $")
+
+ENTRY(__significand)
+	fldl	4(%esp)
+	fxtract
+	fstpl	%st(1)
+	ret
+weak_alias (__significand, significand)
--- a/sysdeps/libm-i387/s_significandf.S
+++ b/sysdeps/libm-i387/s_significandf.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_significandf.S,v 1.3 1995/05/09 00:24:07 jtc Exp $")
+
+ENTRY(__significandf)
+	flds	4(%esp)
+	fxtract
+	fstpl	%st(1)
+	ret
+weak_alias (__significandf, significandf)
--- a/sysdeps/libm-i387/s_sin.S
+++ b/sysdeps/libm-i387/s_sin.S
@ -0,0 +1,27 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_sin.S,v 1.5 1995/05/09 00:25:54 jtc Exp $")
+
+ENTRY(__sin)
+	fldl	4(%esp)
+	fsin
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	1f
+	ret
+1:	fldpi
+	fadd	%st(0)
+	fxch	%st(1)
+2:	fprem1
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	2b
+	fstp	%st(1)
+	fsin
+	ret
+weak_alias (__sin, sin)
--- a/sysdeps/libm-i387/s_sinf.S
+++ b/sysdeps/libm-i387/s_sinf.S
@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_sinf.S,v 1.3 1995/05/09 00:27:53 jtc Exp $")
+
+/* A float's domain isn't large enough to require argument reduction. */
+ENTRY(__sinf)
+	flds	4(%esp)
+	fsin
+	ret
+weak_alias (__sinf, sinf)
--- a/sysdeps/libm-i387/s_tan.S
+++ b/sysdeps/libm-i387/s_tan.S
@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_tan.S,v 1.5 1995/05/09 00:30:00 jtc Exp $")
+
+ENTRY(__tan)
+	fldl	4(%esp)
+	fptan
+	fnstsw	%ax
+	andw	$0x400,%ax
+	jnz	1f
+	fstp	%st(0)
+	ret
+1:	fldpi
+	fadd	%st(0)
+	fxch	%st(1)
+2:	fprem1
+	fstsw	%ax
+	andw	$0x400,%ax
+	jnz	2b
+	fstp	%st(1)
+	fptan
+	fstp	%st(0)
+	ret
+weak_alias (__tan, tan)
--- a/sysdeps/libm-i387/s_tanf.S
+++ b/sysdeps/libm-i387/s_tanf.S
@ -0,0 +1,16 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_tanf.S,v 1.3 1995/05/09 00:31:09 jtc Exp $")
+
+/* A float's domain isn't large enough to require argument reduction. */
+ENTRY(__tanf)
+	flds	4(%esp)
+	fptan
+	fstp	%st(0)
+	ret
+weak_alias (__tanf, tanf)
--- a/sysdeps/libm-ieee754/e_acos.c
+++ b/sysdeps/libm-ieee754/e_acos.c
@ -0,0 +1,111 @@
+/* @(#)e_acos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_acos.c,v 1.9 1995/05/12 04:57:13 jtc Exp $";
+#endif
+
+/* __ieee754_acos(x)
+ * Method :                  
+ *	acos(x)  = pi/2 - asin(x)
+ *	acos(-x) = pi/2 + asin(x)
+ * For |x|<=0.5
+ *	acos(x) = pi/2 - (x + x*x^2*R(x^2))	(see asin.c)
+ * For x>0.5
+ * 	acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2)))
+ *		= 2asin(sqrt((1-x)/2))  
+ *		= 2s + 2s*z*R(z) 	...z=(1-x)/2, s=sqrt(z)
+ *		= 2f + (2c + 2s*z*R(z))
+ *     where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term
+ *     for f so that f+c ~ sqrt(z).
+ * For x<-0.5
+ *	acos(x) = pi - 2asin(sqrt((1-|x|)/2))
+ *		= pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z)
+ *
+ * Special cases:
+ *	if x is NaN, return x itself;
+ *	if |x|>1, return NaN with invalid signal.
+ *
+ * Function needed: __ieee754_sqrt
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double 
+#else
+static double 
+#endif
+one=  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi =  3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+pio2_hi =  1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+pio2_lo =  6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+pS0 =  1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+pS2 =  2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+pS4 =  7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+pS5 =  3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
+qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+qS2 =  2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+qS4 =  7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
+
+#ifdef __STDC__
+	double __ieee754_acos(double x)
+#else
+	double __ieee754_acos(x)
+	double x;
+#endif
+{
+	double z,p,q,r,w,s,c,df;
+	int32_t hx,ix;
+	GET_HIGH_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x3ff00000) {	/* |x| >= 1 */
+	    u_int32_t lx;
+	    GET_LOW_WORD(lx,x);
+	    if(((ix-0x3ff00000)|lx)==0) {	/* |x|==1 */
+		if(hx>0) return 0.0;		/* acos(1) = 0  */
+		else return pi+2.0*pio2_lo;	/* acos(-1)= pi */
+	    }
+	    return (x-x)/(x-x);		/* acos(|x|>1) is NaN */
+	}
+	if(ix<0x3fe00000) {	/* |x| < 0.5 */
+	    if(ix<=0x3c600000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
+	    z = x*x;
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    r = p/q;
+	    return pio2_hi - (x - (pio2_lo-x*r));
+	} else  if (hx<0) {		/* x < -0.5 */
+	    z = (one+x)*0.5;
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    s = __ieee754_sqrt(z);
+	    r = p/q;
+	    w = r*s-pio2_lo;
+	    return pi - 2.0*(s+w);
+	} else {			/* x > 0.5 */
+	    z = (one-x)*0.5;
+	    s = __ieee754_sqrt(z);
+	    df = s;
+	    SET_LOW_WORD(df,0);
+	    c  = (z-df*df)/(s+df);
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    r = p/q;
+	    w = r*s+c;
+	    return 2.0*(df+w);
+	}
+}
--- a/sysdeps/libm-ieee754/e_acosf.c
+++ b/sysdeps/libm-ieee754/e_acosf.c
@ -0,0 +1,89 @@
+/* e_acosf.c -- float version of e_acos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_acosf.c,v 1.5 1995/05/12 04:57:16 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+one =  1.0000000000e+00, /* 0x3F800000 */
+pi =  3.1415925026e+00, /* 0x40490fda */
+pio2_hi =  1.5707962513e+00, /* 0x3fc90fda */
+pio2_lo =  7.5497894159e-08, /* 0x33a22168 */
+pS0 =  1.6666667163e-01, /* 0x3e2aaaab */
+pS1 = -3.2556581497e-01, /* 0xbea6b090 */
+pS2 =  2.0121252537e-01, /* 0x3e4e0aa8 */
+pS3 = -4.0055535734e-02, /* 0xbd241146 */
+pS4 =  7.9153501429e-04, /* 0x3a4f7f04 */
+pS5 =  3.4793309169e-05, /* 0x3811ef08 */
+qS1 = -2.4033949375e+00, /* 0xc019d139 */
+qS2 =  2.0209457874e+00, /* 0x4001572d */
+qS3 = -6.8828397989e-01, /* 0xbf303361 */
+qS4 =  7.7038154006e-02; /* 0x3d9dc62e */
+
+#ifdef __STDC__
+	float __ieee754_acosf(float x)
+#else
+	float __ieee754_acosf(x)
+	float x;
+#endif
+{
+	float z,p,q,r,w,s,c,df;
+	int32_t hx,ix;
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix==0x3f800000) {		/* |x|==1 */
+	    if(hx>0) return 0.0;	/* acos(1) = 0  */
+	    else return pi+(float)2.0*pio2_lo;	/* acos(-1)= pi */
+	} else if(ix>0x3f800000) {	/* |x| >= 1 */
+	    return (x-x)/(x-x);		/* acos(|x|>1) is NaN */
+	}
+	if(ix<0x3f000000) {	/* |x| < 0.5 */
+	    if(ix<=0x23000000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
+	    z = x*x;
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    r = p/q;
+	    return pio2_hi - (x - (pio2_lo-x*r));
+	} else  if (hx<0) {		/* x < -0.5 */
+	    z = (one+x)*(float)0.5;
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    s = __ieee754_sqrtf(z);
+	    r = p/q;
+	    w = r*s-pio2_lo;
+	    return pi - (float)2.0*(s+w);
+	} else {			/* x > 0.5 */
+	    int32_t idf;
+	    z = (one-x)*(float)0.5;
+	    s = __ieee754_sqrtf(z);
+	    df = s;
+	    GET_FLOAT_WORD(idf,df);
+	    SET_FLOAT_WORD(df,idf&0xfffff000);
+	    c  = (z-df*df)/(s+df);
+	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+	    r = p/q;
+	    w = r*s+c;
+	    return (float)2.0*(df+w);
+	}
+}
--- a/sysdeps/libm-ieee754/e_acosh.c
+++ b/sysdeps/libm-ieee754/e_acosh.c
@ -0,0 +1,69 @@
+/* @(#)e_acosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_acosh.c,v 1.9 1995/05/12 04:57:18 jtc Exp $";
+#endif
+
+/* __ieee754_acosh(x)
+ * Method :
+ *	Based on 
+ *		acosh(x) = log [ x + sqrt(x*x-1) ]
+ *	we have
+ *		acosh(x) := log(x)+ln2,	if x is large; else
+ *		acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
+ *		acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
+ *
+ * Special cases:
+ *	acosh(x) is NaN with signal if x<1.
+ *	acosh(NaN) is NaN without signal.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double 
+#else
+static double 
+#endif
+one	= 1.0,
+ln2	= 6.93147180559945286227e-01;  /* 0x3FE62E42, 0xFEFA39EF */
+
+#ifdef __STDC__
+	double __ieee754_acosh(double x)
+#else
+	double __ieee754_acosh(x)
+	double x;
+#endif
+{	
+	double t;
+	int32_t hx;
+	u_int32_t lx;
+	EXTRACT_WORDS(hx,lx,x);
+	if(hx<0x3ff00000) {		/* x < 1 */
+	    return (x-x)/(x-x);
+	} else if(hx >=0x41b00000) {	/* x > 2**28 */
+	    if(hx >=0x7ff00000) {	/* x is inf of NaN */
+	        return x+x;
+	    } else 
+		return __ieee754_log(x)+ln2;	/* acosh(huge)=log(2x) */
+	} else if(((hx-0x3ff00000)|lx)==0) {
+	    return 0.0;			/* acosh(1) = 0 */
+	} else if (hx > 0x40000000) {	/* 2**28 > x > 2 */
+	    t=x*x;
+	    return __ieee754_log(2.0*x-one/(x+__ieee754_sqrt(t-one)));
+	} else {			/* 1<x<2 */
+	    t = x-one;
+	    return __log1p(t+__sqrt(2.0*t+t*t));
+	}
+}
--- a/sysdeps/libm-ieee754/e_acoshf.c
+++ b/sysdeps/libm-ieee754/e_acoshf.c
@ -0,0 +1,57 @@
+/* e_acoshf.c -- float version of e_acosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_acoshf.c,v 1.5 1995/05/12 04:57:20 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+one	= 1.0,
+ln2	= 6.9314718246e-01;  /* 0x3f317218 */
+
+#ifdef __STDC__
+	float __ieee754_acoshf(float x)
+#else
+	float __ieee754_acoshf(x)
+	float x;
+#endif
+{	
+	float t;
+	int32_t hx;
+	GET_FLOAT_WORD(hx,x);
+	if(hx<0x3f800000) {		/* x < 1 */
+	    return (x-x)/(x-x);
+	} else if(hx >=0x4d800000) {	/* x > 2**28 */
+	    if(hx >=0x7f800000) {	/* x is inf of NaN */
+	        return x+x;
+	    } else 
+		return __ieee754_logf(x)+ln2;	/* acosh(huge)=log(2x) */
+	} else if (hx==0x3f800000) {
+	    return 0.0;			/* acosh(1) = 0 */
+	} else if (hx > 0x40000000) {	/* 2**28 > x > 2 */
+	    t=x*x;
+	    return __ieee754_logf((float)2.0*x-one/(x+__ieee754_sqrtf(t-one)));
+	} else {			/* 1<x<2 */
+	    t = x-one;
+	    return __log1pf(t+__sqrtf((float)2.0*t+t*t));
+	}
+}
--- a/sysdeps/libm-ieee754/e_asin.c
+++ b/sysdeps/libm-ieee754/e_asin.c
@ -0,0 +1,120 @@
+/* @(#)e_asin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_asin.c,v 1.9 1995/05/12 04:57:22 jtc Exp $";
+#endif
+
+/* __ieee754_asin(x)
+ * Method :                  
+ *	Since  asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ...
+ *	we approximate asin(x) on [0,0.5] by
+ *		asin(x) = x + x*x^2*R(x^2)
+ *	where
+ *		R(x^2) is a rational approximation of (asin(x)-x)/x^3 
+ *	and its remez error is bounded by
+ *		|(asin(x)-x)/x^3 - R(x^2)| < 2^(-58.75)
+ *
+ *	For x in [0.5,1]
+ *		asin(x) = pi/2-2*asin(sqrt((1-x)/2))
+ *	Let y = (1-x), z = y/2, s := sqrt(z), and pio2_hi+pio2_lo=pi/2;
+ *	then for x>0.98
+ *		asin(x) = pi/2 - 2*(s+s*z*R(z))
+ *			= pio2_hi - (2*(s+s*z*R(z)) - pio2_lo)
+ *	For x<=0.98, let pio4_hi = pio2_hi/2, then
+ *		f = hi part of s;
+ *		c = sqrt(z) - f = (z-f*f)/(s+f) 	...f+c=sqrt(z)
+ *	and
+ *		asin(x) = pi/2 - 2*(s+s*z*R(z))
+ *			= pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo)
+ *			= pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c))
+ *
+ * Special cases:
+ *	if x is NaN, return x itself;
+ *	if |x|>1, return NaN with invalid signal.
+ *
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double 
+#else
+static double 
+#endif
+one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+huge =  1.000e+300,
+pio2_hi =  1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+pio2_lo =  6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+pio4_hi =  7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
+	/* coefficient for R(x^2) */
+pS0 =  1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+pS2 =  2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+pS4 =  7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+pS5 =  3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
+qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+qS2 =  2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+qS4 =  7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
+
+#ifdef __STDC__
+	double __ieee754_asin(double x)
+#else
+	double __ieee754_asin(x)
+	double x;
+#endif
+{
+	double t,w,p,q,c,r,s;
+	int32_t hx,ix;
+	GET_HIGH_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>= 0x3ff00000) {		/* |x|>= 1 */
+	    u_int32_t lx;
+	    GET_LOW_WORD(lx,x);
+	    if(((ix-0x3ff00000)|lx)==0)
+		    /* asin(1)=+-pi/2 with inexact */
+		return x*pio2_hi+x*pio2_lo;	
+	    return (x-x)/(x-x);		/* asin(|x|>1) is NaN */   
+	} else if (ix<0x3fe00000) {	/* |x|<0.5 */
+	    if(ix<0x3e400000) {		/* if |x| < 2**-27 */
+		if(huge+x>one) return x;/* return x with inexact if x!=0*/
+	    } else 
+		t = x*x;
+		p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+		q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+		w = p/q;
+		return x+x*w;
+	}
+	/* 1> |x|>= 0.5 */
+	w = one-fabs(x);
+	t = w*0.5;
+	p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+	q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+	s = __ieee754_sqrt(t);
+	if(ix>=0x3FEF3333) { 	/* if |x| > 0.975 */
+	    w = p/q;
+	    t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
+	} else {
+	    w  = s;
+	    SET_LOW_WORD(w,0);
+	    c  = (t-w*w)/(s+w);
+	    r  = p/q;
+	    p  = 2.0*s*r-(pio2_lo-2.0*c);
+	    q  = pio4_hi-2.0*w;
+	    t  = pio4_hi-(p-q);
+	}    
+	if(hx>0) return t; else return -t;    
+}
--- a/sysdeps/libm-ieee754/e_asinf.c
+++ b/sysdeps/libm-ieee754/e_asinf.c
@ -0,0 +1,92 @@
+/* e_asinf.c -- float version of e_asin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_asinf.c,v 1.5 1995/05/12 04:57:25 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+one =  1.0000000000e+00, /* 0x3F800000 */
+huge =  1.000e+30,
+pio2_hi =  1.5707962513e+00, /* 0x3fc90fda */
+pio2_lo =  7.5497894159e-08, /* 0x33a22168 */
+pio4_hi =  7.8539818525e-01, /* 0x3f490fdb */
+	/* coefficient for R(x^2) */
+pS0 =  1.6666667163e-01, /* 0x3e2aaaab */
+pS1 = -3.2556581497e-01, /* 0xbea6b090 */
+pS2 =  2.0121252537e-01, /* 0x3e4e0aa8 */
+pS3 = -4.0055535734e-02, /* 0xbd241146 */
+pS4 =  7.9153501429e-04, /* 0x3a4f7f04 */
+pS5 =  3.4793309169e-05, /* 0x3811ef08 */
+qS1 = -2.4033949375e+00, /* 0xc019d139 */
+qS2 =  2.0209457874e+00, /* 0x4001572d */
+qS3 = -6.8828397989e-01, /* 0xbf303361 */
+qS4 =  7.7038154006e-02; /* 0x3d9dc62e */
+
+#ifdef __STDC__
+	float __ieee754_asinf(float x)
+#else
+	float __ieee754_asinf(x)
+	float x;
+#endif
+{
+	float t,w,p,q,c,r,s;
+	int32_t hx,ix;
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix==0x3f800000) {
+		/* asin(1)=+-pi/2 with inexact */
+	    return x*pio2_hi+x*pio2_lo;	
+	} else if(ix> 0x3f800000) {	/* |x|>= 1 */
+	    return (x-x)/(x-x);		/* asin(|x|>1) is NaN */   
+	} else if (ix<0x3f000000) {	/* |x|<0.5 */
+	    if(ix<0x32000000) {		/* if |x| < 2**-27 */
+		if(huge+x>one) return x;/* return x with inexact if x!=0*/
+	    } else 
+		t = x*x;
+		p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+		q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+		w = p/q;
+		return x+x*w;
+	}
+	/* 1> |x|>= 0.5 */
+	w = one-fabsf(x);
+	t = w*(float)0.5;
+	p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+	q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+	s = __ieee754_sqrtf(t);
+	if(ix>=0x3F79999A) { 	/* if |x| > 0.975 */
+	    w = p/q;
+	    t = pio2_hi-((float)2.0*(s+s*w)-pio2_lo);
+	} else {
+	    int32_t iw;
+	    w  = s;
+	    GET_FLOAT_WORD(iw,w);
+	    SET_FLOAT_WORD(w,iw&0xfffff000);
+	    c  = (t-w*w)/(s+w);
+	    r  = p/q;
+	    p  = (float)2.0*s*r-(pio2_lo-(float)2.0*c);
+	    q  = pio4_hi-(float)2.0*w;
+	    t  = pio4_hi-(p-q);
+	}    
+	if(hx>0) return t; else return -t;    
+}
--- a/sysdeps/libm-ieee754/e_atan2.c
+++ b/sysdeps/libm-ieee754/e_atan2.c
@ -0,0 +1,130 @@
+/* @(#)e_atan2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_atan2.c,v 1.8 1995/05/10 20:44:51 jtc Exp $";
+#endif
+
+/* __ieee754_atan2(y,x)
+ * Method :
+ *	1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
+ *	2. Reduce x to positive by (if x and y are unexceptional): 
+ *		ARG (x+iy) = arctan(y/x)   	   ... if x > 0,
+ *		ARG (x+iy) = pi - arctan[y/(-x)]   ... if x < 0,
+ *
+ * Special cases:
+ *
+ *	ATAN2((anything), NaN ) is NaN;
+ *	ATAN2(NAN , (anything) ) is NaN;
+ *	ATAN2(+-0, +(anything but NaN)) is +-0  ;
+ *	ATAN2(+-0, -(anything but NaN)) is +-pi ;
+ *	ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
+ *	ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
+ *	ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
+ *	ATAN2(+-INF,+INF ) is +-pi/4 ;
+ *	ATAN2(+-INF,-INF ) is +-3pi/4;
+ *	ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following 
+ * constants. The decimal values may be used, provided that the 
+ * compiler will convert from decimal to binary accurately enough 
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double 
+#else
+static double 
+#endif
+tiny  = 1.0e-300,
+zero  = 0.0,
+pi_o_4  = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */
+pi_o_2  = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */
+pi      = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */
+pi_lo   = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
+
+#ifdef __STDC__
+	double __ieee754_atan2(double y, double x)
+#else
+	double __ieee754_atan2(y,x)
+	double  y,x;
+#endif
+{  
+	double z;
+	int32_t k,m,hx,hy,ix,iy;
+	u_int32_t lx,ly;
+
+	EXTRACT_WORDS(hx,lx,x);
+	ix = hx&0x7fffffff;
+	EXTRACT_WORDS(hy,ly,y);
+	iy = hy&0x7fffffff;
+	if(((ix|((lx|-lx)>>31))>0x7ff00000)||
+	   ((iy|((ly|-ly)>>31))>0x7ff00000))	/* x or y is NaN */
+	   return x+y;
+	if((hx-0x3ff00000|lx)==0) return atan(y);   /* x=1.0 */
+	m = ((hy>>31)&1)|((hx>>30)&2);	/* 2*sign(x)+sign(y) */
+
+    /* when y = 0 */
+	if((iy|ly)==0) {
+	    switch(m) {
+		case 0: 
+		case 1: return y; 	/* atan(+-0,+anything)=+-0 */
+		case 2: return  pi+tiny;/* atan(+0,-anything) = pi */
+		case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+	    }
+	}
+    /* when x = 0 */
+	if((ix|lx)==0) return (hy<0)?  -pi_o_2-tiny: pi_o_2+tiny;
+	    
+    /* when x is INF */
+	if(ix==0x7ff00000) {
+	    if(iy==0x7ff00000) {
+		switch(m) {
+		    case 0: return  pi_o_4+tiny;/* atan(+INF,+INF) */
+		    case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+		    case 2: return  3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+		    case 3: return -3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+		}
+	    } else {
+		switch(m) {
+		    case 0: return  zero  ;	/* atan(+...,+INF) */
+		    case 1: return -zero  ;	/* atan(-...,+INF) */
+		    case 2: return  pi+tiny  ;	/* atan(+...,-INF) */
+		    case 3: return -pi-tiny  ;	/* atan(-...,-INF) */
+		}
+	    }
+	}
+    /* when y is INF */
+	if(iy==0x7ff00000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+    /* compute y/x */
+	k = (iy-ix)>>20;
+	if(k > 60) z=pi_o_2+0.5*pi_lo; 	/* |y/x| >  2**60 */
+	else if(hx<0&&k<-60) z=0.0; 	/* |y|/x < -2**60 */
+	else z=atan(fabs(y/x));		/* safe to do y/x */
+	switch (m) {
+	    case 0: return       z  ;	/* atan(+,+) */
+	    case 1: {
+	    	      u_int32_t zh;
+		      GET_HIGH_WORD(zh,z);
+		      SET_HIGH_WORD(z,zh ^ 0x80000000);
+		    }
+		    return       z  ;	/* atan(-,+) */
+	    case 2: return  pi-(z-pi_lo);/* atan(+,-) */
+	    default: /* case 3 */
+	    	    return  (z-pi_lo)-pi;/* atan(-,-) */
+	}
+}
--- a/sysdeps/libm-ieee754/e_atan2f.c
+++ b/sysdeps/libm-ieee754/e_atan2f.c
@ -0,0 +1,105 @@
+/* e_atan2f.c -- float version of e_atan2.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_atan2f.c,v 1.4 1995/05/10 20:44:53 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+tiny  = 1.0e-30,
+zero  = 0.0,
+pi_o_4  = 7.8539818525e-01, /* 0x3f490fdb */
+pi_o_2  = 1.5707963705e+00, /* 0x3fc90fdb */
+pi      = 3.1415925026e+00, /* 0x40490fda */
+pi_lo   = 1.5099578832e-07; /* 0x34222168 */
+
+#ifdef __STDC__
+	float __ieee754_atan2f(float y, float x)
+#else
+	float __ieee754_atan2f(y,x)
+	float  y,x;
+#endif
+{  
+	float z;
+	int32_t k,m,hx,hy,ix,iy;
+
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	GET_FLOAT_WORD(hy,y);
+	iy = hy&0x7fffffff;
+	if((ix>0x7f800000)||
+	   (iy>0x7f800000))	/* x or y is NaN */
+	   return x+y;
+	if(hx==0x3f800000) return atanf(y);   /* x=1.0 */
+	m = ((hy>>31)&1)|((hx>>30)&2);	/* 2*sign(x)+sign(y) */
+
+    /* when y = 0 */
+	if(iy==0) {
+	    switch(m) {
+		case 0: 
+		case 1: return y; 	/* atan(+-0,+anything)=+-0 */
+		case 2: return  pi+tiny;/* atan(+0,-anything) = pi */
+		case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+	    }
+	}
+    /* when x = 0 */
+	if(ix==0) return (hy<0)?  -pi_o_2-tiny: pi_o_2+tiny;
+	    
+    /* when x is INF */
+	if(ix==0x7f800000) {
+	    if(iy==0x7f800000) {
+		switch(m) {
+		    case 0: return  pi_o_4+tiny;/* atan(+INF,+INF) */
+		    case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+		    case 2: return  (float)3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+		    case 3: return (float)-3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+		}
+	    } else {
+		switch(m) {
+		    case 0: return  zero  ;	/* atan(+...,+INF) */
+		    case 1: return -zero  ;	/* atan(-...,+INF) */
+		    case 2: return  pi+tiny  ;	/* atan(+...,-INF) */
+		    case 3: return -pi-tiny  ;	/* atan(-...,-INF) */
+		}
+	    }
+	}
+    /* when y is INF */
+	if(iy==0x7f800000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+    /* compute y/x */
+	k = (iy-ix)>>23;
+	if(k > 60) z=pi_o_2+(float)0.5*pi_lo; 	/* |y/x| >  2**60 */
+	else if(hx<0&&k<-60) z=0.0; 	/* |y|/x < -2**60 */
+	else z=atanf(fabsf(y/x));	/* safe to do y/x */
+	switch (m) {
+	    case 0: return       z  ;	/* atan(+,+) */
+	    case 1: {
+	    	      u_int32_t zh;
+		      GET_FLOAT_WORD(zh,z);
+		      SET_FLOAT_WORD(z,zh ^ 0x80000000);
+		    }
+		    return       z  ;	/* atan(-,+) */
+	    case 2: return  pi-(z-pi_lo);/* atan(+,-) */
+	    default: /* case 3 */
+	    	    return  (z-pi_lo)-pi;/* atan(-,-) */
+	}
+}
--- a/sysdeps/libm-ieee754/e_atanh.c
+++ b/sysdeps/libm-ieee754/e_atanh.c
@ -0,0 +1,74 @@
+/* @(#)e_atanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_atanh.c,v 1.8 1995/05/10 20:44:55 jtc Exp $";
+#endif
+
+/* __ieee754_atanh(x)
+ * Method :
+ *    1.Reduced x to positive by atanh(-x) = -atanh(x)
+ *    2.For x>=0.5
+ *                  1              2x                          x
+ *	atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+ *                  2             1 - x                      1 - x
+ *	
+ * 	For x<0.5
+ *	atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
+ *
+ * Special cases:
+ *	atanh(x) is NaN if |x| > 1 with signal;
+ *	atanh(NaN) is that NaN with no signal;
+ *	atanh(+-1) is +-INF with signal.
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, huge = 1e300;
+#else
+static double one = 1.0, huge = 1e300;
+#endif
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_atanh(double x)
+#else
+	double __ieee754_atanh(x)
+	double x;
+#endif
+{
+	double t;
+	int32_t hx,ix;
+	u_int32_t lx;
+	EXTRACT_WORDS(hx,lx,x);
+	ix = hx&0x7fffffff;
+	if ((ix|((lx|(-lx))>>31))>0x3ff00000) /* |x|>1 */
+	    return (x-x)/(x-x);
+	if(ix==0x3ff00000) 
+	    return x/zero;
+	if(ix<0x3e300000&&(huge+x)>zero) return x;	/* x<2**-28 */
+	SET_HIGH_WORD(x,ix);
+	if(ix<0x3fe00000) {		/* x < 0.5 */
+	    t = x+x;
+	    t = 0.5*__log1p(t+t*x/(one-x));
+	} else 
+	    t = 0.5*__log1p((x+x)/(one-x));
+	if(hx>=0) return t; else return -t;
+}
--- a/sysdeps/libm-ieee754/e_atanhf.c
+++ b/sysdeps/libm-ieee754/e_atanhf.c
@ -0,0 +1,58 @@
+/* e_atanhf.c -- float version of e_atanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_atanhf.c,v 1.4 1995/05/10 20:44:56 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, huge = 1e30;
+#else
+static float one = 1.0, huge = 1e30;
+#endif
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_atanhf(float x)
+#else
+	float __ieee754_atanhf(x)
+	float x;
+#endif
+{
+	float t;
+	int32_t hx,ix;
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if (ix>0x3f800000) 		/* |x|>1 */
+	    return (x-x)/(x-x);
+	if(ix==0x3f800000) 
+	    return x/zero;
+	if(ix<0x31800000&&(huge+x)>zero) return x;	/* x<2**-28 */
+	SET_FLOAT_WORD(x,ix);
+	if(ix<0x3f000000) {		/* x < 0.5 */
+	    t = x+x;
+	    t = (float)0.5*__log1pf(t+t*x/(one-x));
+	} else 
+	    t = (float)0.5*__log1pf((x+x)/(one-x));
+	if(hx>=0) return t; else return -t;
+}
--- a/sysdeps/libm-ieee754/e_cosh.c
+++ b/sysdeps/libm-ieee754/e_cosh.c
@ -0,0 +1,93 @@
+/* @(#)e_cosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $";
+#endif
+
+/* __ieee754_cosh(x)
+ * Method : 
+ * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2
+ *	1. Replace x by |x| (cosh(x) = cosh(-x)). 
+ *	2. 
+ *		                                        [ exp(x) - 1 ]^2 
+ *	    0        <= x <= ln2/2  :  cosh(x) := 1 + -------------------
+ *			       			           2*exp(x)
+ *
+ *		                                  exp(x) +  1/exp(x)
+ *	    ln2/2    <= x <= 22     :  cosh(x) := -------------------
+ *			       			          2
+ *	    22       <= x <= lnovft :  cosh(x) := exp(x)/2 
+ *	    lnovft   <= x <= ln2ovft:  cosh(x) := exp(x/2)/2 * exp(x/2)
+ *	    ln2ovft  <  x	    :  cosh(x) := huge*huge (overflow)
+ *
+ * Special cases:
+ *	cosh(x) is |x| if x is +INF, -INF, or NaN.
+ *	only cosh(0)=1 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, half=0.5, huge = 1.0e300;
+#else
+static double one = 1.0, half=0.5, huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_cosh(double x)
+#else
+	double __ieee754_cosh(x)
+	double x;
+#endif
+{	
+	double t,w;
+	int32_t ix;
+	u_int32_t lx;
+
+    /* High word of |x|. */
+	GET_HIGH_WORD(ix,x);
+	ix &= 0x7fffffff;
+
+    /* x is INF or NaN */
+	if(ix>=0x7ff00000) return x*x;	
+
+    /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+	if(ix<0x3fd62e43) {
+	    t = __expm1(fabs(x));
+	    w = one+t;
+	    if (ix<0x3c800000) return w;	/* cosh(tiny) = 1 */
+	    return one+(t*t)/(w+w);
+	}
+
+    /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+	if (ix < 0x40360000) {
+		t = __ieee754_exp(fabs(x));
+		return half*t+half/t;
+	}
+
+    /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+	if (ix < 0x40862E42)  return half*__ieee754_exp(fabs(x));
+
+    /* |x| in [log(maxdouble), overflowthresold] */
+	GET_LOW_WORD(lx,x);
+	if (ix<0x408633CE || 
+	      (ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d)) {
+	    w = __ieee754_exp(half*fabs(x));
+	    t = half*w;
+	    return t*w;
+	}
+
+    /* |x| > overflowthresold, cosh(x) overflow */
+	return huge*huge;
+}
--- a/sysdeps/libm-ieee754/e_coshf.c
+++ b/sysdeps/libm-ieee754/e_coshf.c
@ -0,0 +1,72 @@
+/* e_coshf.c -- float version of e_cosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_coshf.c,v 1.5 1995/05/10 20:45:01 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const volatile float huge = 1.0e30;
+static const float one = 1.0, half=0.5;
+#else
+static float one = 1.0, half=0.5, huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_coshf(float x)
+#else
+	float __ieee754_coshf(x)
+	float x;
+#endif
+{	
+	float t,w;
+	int32_t ix;
+
+	GET_FLOAT_WORD(ix,x);
+	ix &= 0x7fffffff;
+
+    /* x is INF or NaN */
+	if(ix>=0x7f800000) return x*x;	
+
+    /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+	if(ix<0x3eb17218) {
+	    t = __expm1f(fabsf(x));
+	    w = one+t;
+	    if (ix<0x24000000) return w;	/* cosh(tiny) = 1 */
+	    return one+(t*t)/(w+w);
+	}
+
+    /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+	if (ix < 0x41b00000) {
+		t = __ieee754_expf(fabsf(x));
+		return half*t+half/t;
+	}
+
+    /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+	if (ix < 0x42b17180)  return half*__ieee754_expf(fabsf(x));
+
+    /* |x| in [log(maxdouble), overflowthresold] */
+	if (ix<=0x42b2d4fc) {
+	    w = __ieee754_expf(half*fabsf(x));
+	    t = half*w;
+	    return t*w;
+	}
+
+    /* |x| > overflowthresold, cosh(x) overflow */
+	return huge*huge;
+}
--- a/sysdeps/libm-ieee754/e_exp.c
+++ b/sysdeps/libm-ieee754/e_exp.c
@ -0,0 +1,167 @@
+/* @(#)e_exp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_exp.c,v 1.8 1995/05/10 20:45:03 jtc Exp $";
+#endif
+
+/* __ieee754_exp(x)
+ * Returns the exponential of x.
+ *
+ * Method
+ *   1. Argument reduction:
+ *      Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658.
+ *	Given x, find r and integer k such that
+ *
+ *               x = k*ln2 + r,  |r| <= 0.5*ln2.  
+ *
+ *      Here r will be represented as r = hi-lo for better 
+ *	accuracy.
+ *
+ *   2. Approximation of exp(r) by a special rational function on
+ *	the interval [0,0.34658]:
+ *	Write
+ *	    R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ...
+ *      We use a special Reme algorithm on [0,0.34658] to generate 
+ * 	a polynomial of degree 5 to approximate R. The maximum error 
+ *	of this polynomial approximation is bounded by 2**-59. In
+ *	other words,
+ *	    R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5
+ *  	(where z=r*r, and the values of P1 to P5 are listed below)
+ *	and
+ *	    |                  5          |     -59
+ *	    | 2.0+P1*z+...+P5*z   -  R(z) | <= 2 
+ *	    |                             |
+ *	The computation of exp(r) thus becomes
+ *                             2*r
+ *		exp(r) = 1 + -------
+ *		              R - r
+ *                                 r*R1(r)	
+ *		       = 1 + r + ----------- (for better accuracy)
+ *		                  2 - R1(r)
+ *	where
+ *			         2       4             10
+ *		R1(r) = r - (P1*r  + P2*r  + ... + P5*r   ).
+ *	
+ *   3. Scale back to obtain exp(x):
+ *	From step 1, we have
+ *	   exp(x) = 2^k * exp(r)
+ *
+ * Special cases:
+ *	exp(INF) is INF, exp(NaN) is NaN;
+ *	exp(-INF) is 0, and
+ *	for finite argument, only exp(0)=1 is exact.
+ *
+ * Accuracy:
+ *	according to an error analysis, the error is always less than
+ *	1 ulp (unit in the last place).
+ *
+ * Misc. info.
+ *	For IEEE double 
+ *	    if x >  7.09782712893383973096e+02 then exp(x) overflow
+ *	    if x < -7.45133219101941108420e+02 then exp(x) underflow
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following 
+ * constants. The decimal values may be used, provided that the 
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one	= 1.0,
+halF[2]	= {0.5,-0.5,},
+huge	= 1.0e+300,
+twom1000= 9.33263618503218878990e-302,     /* 2**-1000=0x01700000,0*/
+o_threshold=  7.09782712893383973096e+02,  /* 0x40862E42, 0xFEFA39EF */
+u_threshold= -7.45133219101941108420e+02,  /* 0xc0874910, 0xD52D3051 */
+ln2HI[2]   ={ 6.93147180369123816490e-01,  /* 0x3fe62e42, 0xfee00000 */
+	     -6.93147180369123816490e-01,},/* 0xbfe62e42, 0xfee00000 */
+ln2LO[2]   ={ 1.90821492927058770002e-10,  /* 0x3dea39ef, 0x35793c76 */
+	     -1.90821492927058770002e-10,},/* 0xbdea39ef, 0x35793c76 */
+invln2 =  1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
+P1   =  1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
+P2   = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
+P3   =  6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
+P4   = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
+P5   =  4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
+
+
+#ifdef __STDC__
+	double __ieee754_exp(double x)	/* default IEEE double exp */
+#else
+	double __ieee754_exp(x)	/* default IEEE double exp */
+	double x;
+#endif
+{
+	double y,hi,lo,c,t;
+	int32_t k,xsb;
+	u_int32_t hx;
+
+	GET_HIGH_WORD(hx,x);
+	xsb = (hx>>31)&1;		/* sign bit of x */
+	hx &= 0x7fffffff;		/* high word of |x| */
+
+    /* filter out non-finite argument */
+	if(hx >= 0x40862E42) {			/* if |x|>=709.78... */
+            if(hx>=0x7ff00000) {
+	        u_int32_t lx;
+		GET_LOW_WORD(lx,x);
+		if(((hx&0xfffff)|lx)!=0) 
+		     return x+x; 		/* NaN */
+		else return (xsb==0)? x:0.0;	/* exp(+-inf)={inf,0} */
+	    }
+	    if(x > o_threshold) return huge*huge; /* overflow */
+	    if(x < u_threshold) return twom1000*twom1000; /* underflow */
+	}
+
+    /* argument reduction */
+	if(hx > 0x3fd62e42) {		/* if  |x| > 0.5 ln2 */ 
+	    if(hx < 0x3FF0A2B2) {	/* and |x| < 1.5 ln2 */
+		hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
+	    } else {
+		k  = invln2*x+halF[xsb];
+		t  = k;
+		hi = x - t*ln2HI[0];	/* t*ln2HI is exact here */
+		lo = t*ln2LO[0];
+	    }
+	    x  = hi - lo;
+	} 
+	else if(hx < 0x3e300000)  {	/* when |x|<2**-28 */
+	    if(huge+x>one) return one+x;/* trigger inexact */
+	}
+	else k = 0;
+
+    /* x is now in primary range */
+	t  = x*x;
+	c  = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+	if(k==0) 	return one-((x*c)/(c-2.0)-x); 
+	else 		y = one-((lo-(x*c)/(2.0-c))-hi);
+	if(k >= -1021) {
+	    u_int32_t hy;
+	    GET_HIGH_WORD(hy,y);
+	    SET_HIGH_WORD(y,hy+(k<<20));	/* add k to y's exponent */
+	    return y;
+	} else {
+	    u_int32_t hy;
+	    GET_HIGH_WORD(hy,y);
+	    SET_HIGH_WORD(y,hy+((k+1000)<<20));	/* add k to y's exponent */
+	    return y*twom1000;
+	}
+}
--- a/sysdeps/libm-ieee754/e_expf.c
+++ b/sysdeps/libm-ieee754/e_expf.c
@ -0,0 +1,104 @@
+/* e_expf.c -- float version of e_exp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_expf.c,v 1.5 1995/05/10 20:45:05 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile float huge = 1.0e+30;
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one	= 1.0,
+halF[2]	= {0.5,-0.5,},
+twom100 = 7.8886090522e-31,      /* 2**-100=0x0d800000 */
+o_threshold=  8.8721679688e+01,  /* 0x42b17180 */
+u_threshold= -1.0397208405e+02,  /* 0xc2cff1b5 */
+ln2HI[2]   ={ 6.9313812256e-01,		/* 0x3f317180 */
+	     -6.9313812256e-01,},	/* 0xbf317180 */
+ln2LO[2]   ={ 9.0580006145e-06,  	/* 0x3717f7d1 */
+	     -9.0580006145e-06,},	/* 0xb717f7d1 */
+invln2 =  1.4426950216e+00, 		/* 0x3fb8aa3b */
+P1   =  1.6666667163e-01, /* 0x3e2aaaab */
+P2   = -2.7777778450e-03, /* 0xbb360b61 */
+P3   =  6.6137559770e-05, /* 0x388ab355 */
+P4   = -1.6533901999e-06, /* 0xb5ddea0e */
+P5   =  4.1381369442e-08; /* 0x3331bb4c */
+
+#ifdef __STDC__
+	float __ieee754_expf(float x)	/* default IEEE double exp */
+#else
+	float __ieee754_expf(x)	/* default IEEE double exp */
+	float x;
+#endif
+{
+	float y,hi,lo,c,t;
+	int32_t k,xsb;
+	u_int32_t hx;
+
+	GET_FLOAT_WORD(hx,x);
+	xsb = (hx>>31)&1;		/* sign bit of x */
+	hx &= 0x7fffffff;		/* high word of |x| */
+
+    /* filter out non-finite argument */
+	if(hx >= 0x42b17218) {			/* if |x|>=88.721... */
+	    if(hx>0x7f800000)
+		 return x+x;	 		/* NaN */
+            if(hx==0x7f800000)
+		return (xsb==0)? x:0.0;		/* exp(+-inf)={inf,0} */
+	    if(x > o_threshold) return huge*huge; /* overflow */
+	    if(x < u_threshold) return twom100*twom100; /* underflow */
+	}
+
+    /* argument reduction */
+	if(hx > 0x3eb17218) {		/* if  |x| > 0.5 ln2 */ 
+	    if(hx < 0x3F851592) {	/* and |x| < 1.5 ln2 */
+		hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
+	    } else {
+		k  = invln2*x+halF[xsb];
+		t  = k;
+		hi = x - t*ln2HI[0];	/* t*ln2HI is exact here */
+		lo = t*ln2LO[0];
+	    }
+	    x  = hi - lo;
+	} 
+	else if(hx < 0x31800000)  {	/* when |x|<2**-28 */
+	    if(huge+x>one) return one+x;/* trigger inexact */
+	}
+	else k = 0;
+
+    /* x is now in primary range */
+	t  = x*x;
+	c  = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+	if(k==0) 	return one-((x*c)/(c-(float)2.0)-x); 
+	else 		y = one-((lo-(x*c)/((float)2.0-c))-hi);
+	if(k >= -125) {
+	    u_int32_t hy;
+	    GET_FLOAT_WORD(hy,y);
+	    SET_FLOAT_WORD(y,hy+(k<<23));	/* add k to y's exponent */
+	    return y;
+	} else {
+	    u_int32_t hy;
+	    GET_FLOAT_WORD(hy,y);
+	    SET_FLOAT_WORD(y,hy+((k+100)<<23));	/* add k to y's exponent */
+	    return y*twom100;
+	}
+}
--- a/sysdeps/libm-ieee754/e_fmod.c
+++ b/sysdeps/libm-ieee754/e_fmod.c
@ -0,0 +1,140 @@
+/* @(#)e_fmod.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_fmod.c,v 1.8 1995/05/10 20:45:07 jtc Exp $";
+#endif
+
+/* 
+ * __ieee754_fmod(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, Zero[] = {0.0, -0.0,};
+#else
+static double one = 1.0, Zero[] = {0.0, -0.0,};
+#endif
+
+#ifdef __STDC__
+	double __ieee754_fmod(double x, double y)
+#else
+	double __ieee754_fmod(x,y)
+	double x,y ;
+#endif
+{
+	int32_t n,hx,hy,hz,ix,iy,sx,i;
+	u_int32_t lx,ly,lz;
+
+	EXTRACT_WORDS(hx,lx,x);
+	EXTRACT_WORDS(hy,ly,y);
+	sx = hx&0x80000000;		/* sign of x */
+	hx ^=sx;		/* |x| */
+	hy &= 0x7fffffff;	/* |y| */
+
+    /* purge off exception values */
+	if((hy|ly)==0||(hx>=0x7ff00000)||	/* y=0,or x not finite */
+	  ((hy|((ly|-ly)>>31))>0x7ff00000))	/* or y is NaN */
+	    return (x*y)/(x*y);
+	if(hx<=hy) {
+	    if((hx<hy)||(lx<ly)) return x;	/* |x|<|y| return x */
+	    if(lx==ly) 
+		return Zero[(u_int32_t)sx>>31];	/* |x|=|y| return x*0*/
+	}
+
+    /* determine ix = ilogb(x) */
+	if(hx<0x00100000) {	/* subnormal x */
+	    if(hx==0) {
+		for (ix = -1043, i=lx; i>0; i<<=1) ix -=1;
+	    } else {
+		for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1;
+	    }
+	} else ix = (hx>>20)-1023;
+
+    /* determine iy = ilogb(y) */
+	if(hy<0x00100000) {	/* subnormal y */
+	    if(hy==0) {
+		for (iy = -1043, i=ly; i>0; i<<=1) iy -=1;
+	    } else {
+		for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1;
+	    }
+	} else iy = (hy>>20)-1023;
+
+    /* set up {hx,lx}, {hy,ly} and align y to x */
+	if(ix >= -1022) 
+	    hx = 0x00100000|(0x000fffff&hx);
+	else {		/* subnormal x, shift x to normal */
+	    n = -1022-ix;
+	    if(n<=31) {
+	        hx = (hx<<n)|(lx>>(32-n));
+	        lx <<= n;
+	    } else {
+		hx = lx<<(n-32);
+		lx = 0;
+	    }
+	}
+	if(iy >= -1022) 
+	    hy = 0x00100000|(0x000fffff&hy);
+	else {		/* subnormal y, shift y to normal */
+	    n = -1022-iy;
+	    if(n<=31) {
+	        hy = (hy<<n)|(ly>>(32-n));
+	        ly <<= n;
+	    } else {
+		hy = ly<<(n-32);
+		ly = 0;
+	    }
+	}
+
+    /* fix point fmod */
+	n = ix - iy;
+	while(n--) {
+	    hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+	    if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;}
+	    else {
+	    	if((hz|lz)==0) 		/* return sign(x)*0 */
+		    return Zero[(u_int32_t)sx>>31];
+	    	hx = hz+hz+(lz>>31); lx = lz+lz;
+	    }
+	}
+	hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+	if(hz>=0) {hx=hz;lx=lz;}
+
+    /* convert back to floating value and restore the sign */
+	if((hx|lx)==0) 			/* return sign(x)*0 */
+	    return Zero[(u_int32_t)sx>>31];	
+	while(hx<0x00100000) {		/* normalize x */
+	    hx = hx+hx+(lx>>31); lx = lx+lx;
+	    iy -= 1;
+	}
+	if(iy>= -1022) {	/* normalize output */
+	    hx = ((hx-0x00100000)|((iy+1023)<<20));
+	    INSERT_WORDS(x,hx|sx,lx);
+	} else {		/* subnormal output */
+	    n = -1022 - iy;
+	    if(n<=20) {
+		lx = (lx>>n)|((u_int32_t)hx<<(32-n));
+		hx >>= n;
+	    } else if (n<=31) {
+		lx = (hx<<(32-n))|(lx>>n); hx = sx;
+	    } else {
+		lx = hx>>(n-32); hx = sx;
+	    }
+	    INSERT_WORDS(x,hx|sx,lx);
+	    x *= one;		/* create necessary signal */
+	}
+	return x;		/* exact output */
+}
--- a/sysdeps/libm-ieee754/e_fmodf.c
+++ b/sysdeps/libm-ieee754/e_fmodf.c
@ -0,0 +1,113 @@
+/* e_fmodf.c -- float version of e_fmod.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_fmodf.c,v 1.4 1995/05/10 20:45:10 jtc Exp $";
+#endif
+
+/* 
+ * __ieee754_fmodf(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, Zero[] = {0.0, -0.0,};
+#else
+static float one = 1.0, Zero[] = {0.0, -0.0,};
+#endif
+
+#ifdef __STDC__
+	float __ieee754_fmodf(float x, float y)
+#else
+	float __ieee754_fmodf(x,y)
+	float x,y ;
+#endif
+{
+	int32_t n,hx,hy,hz,ix,iy,sx,i;
+
+	GET_FLOAT_WORD(hx,x);
+	GET_FLOAT_WORD(hy,y);
+	sx = hx&0x80000000;		/* sign of x */
+	hx ^=sx;		/* |x| */
+	hy &= 0x7fffffff;	/* |y| */
+
+    /* purge off exception values */
+	if(hy==0||(hx>=0x7f800000)||		/* y=0,or x not finite */
+	   (hy>0x7f800000))			/* or y is NaN */
+	    return (x*y)/(x*y);
+	if(hx<hy) return x;			/* |x|<|y| return x */
+	if(hx==hy)
+	    return Zero[(u_int32_t)sx>>31];	/* |x|=|y| return x*0*/
+
+    /* determine ix = ilogb(x) */
+	if(hx<0x00800000) {	/* subnormal x */
+	    for (ix = -126,i=(hx<<8); i>0; i<<=1) ix -=1;
+	} else ix = (hx>>23)-127;
+
+    /* determine iy = ilogb(y) */
+	if(hy<0x00800000) {	/* subnormal y */
+	    for (iy = -126,i=(hy<<8); i>=0; i<<=1) iy -=1;
+	} else iy = (hy>>23)-127;
+
+    /* set up {hx,lx}, {hy,ly} and align y to x */
+	if(ix >= -126) 
+	    hx = 0x00800000|(0x007fffff&hx);
+	else {		/* subnormal x, shift x to normal */
+	    n = -126-ix;
+	    hx = hx<<n;
+	}
+	if(iy >= -126) 
+	    hy = 0x00800000|(0x007fffff&hy);
+	else {		/* subnormal y, shift y to normal */
+	    n = -126-iy;
+	    hy = hy<<n;
+	}
+
+    /* fix point fmod */
+	n = ix - iy;
+	while(n--) {
+	    hz=hx-hy;
+	    if(hz<0){hx = hx+hx;}
+	    else {
+	    	if(hz==0) 		/* return sign(x)*0 */
+		    return Zero[(u_int32_t)sx>>31];
+	    	hx = hz+hz;
+	    }
+	}
+	hz=hx-hy;
+	if(hz>=0) {hx=hz;}
+
+    /* convert back to floating value and restore the sign */
+	if(hx==0) 			/* return sign(x)*0 */
+	    return Zero[(u_int32_t)sx>>31];	
+	while(hx<0x00800000) {		/* normalize x */
+	    hx = hx+hx;
+	    iy -= 1;
+	}
+	if(iy>= -126) {		/* normalize output */
+	    hx = ((hx-0x00800000)|((iy+127)<<23));
+	    SET_FLOAT_WORD(x,hx|sx);
+	} else {		/* subnormal output */
+	    n = -126 - iy;
+	    hx >>= n;
+	    SET_FLOAT_WORD(x,hx|sx);
+	    x *= one;		/* create necessary signal */
+	}
+	return x;		/* exact output */
+}
--- a/sysdeps/libm-ieee754/e_hypot.c
+++ b/sysdeps/libm-ieee754/e_hypot.c
@ -0,0 +1,128 @@
+/* @(#)e_hypot.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_hypot.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
+#endif
+
+/* __ieee754_hypot(x,y)
+ *
+ * Method :                  
+ *	If (assume round-to-nearest) z=x*x+y*y 
+ *	has error less than sqrt(2)/2 ulp, than 
+ *	sqrt(z) has error less than 1 ulp (exercise).
+ *
+ *	So, compute sqrt(x*x+y*y) with some care as 
+ *	follows to get the error below 1 ulp:
+ *
+ *	Assume x>y>0;
+ *	(if possible, set rounding to round-to-nearest)
+ *	1. if x > 2y  use
+ *		x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y
+ *	where x1 = x with lower 32 bits cleared, x2 = x-x1; else
+ *	2. if x <= 2y use
+ *		t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
+ *	where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, 
+ *	y1= y with lower 32 bits chopped, y2 = y-y1.
+ *		
+ *	NOTE: scaling may be necessary if some argument is too 
+ *	      large or too tiny
+ *
+ * Special cases:
+ *	hypot(x,y) is INF if x or y is +INF or -INF; else
+ *	hypot(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * 	hypot(x,y) returns sqrt(x^2+y^2) with error less 
+ * 	than 1 ulps (units in the last place) 
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+	double __ieee754_hypot(double x, double y)
+#else
+	double __ieee754_hypot(x,y)
+	double x, y;
+#endif
+{
+	double a=x,b=y,t1,t2,y1,y2,w;
+	int32_t j,k,ha,hb;
+
+	GET_HIGH_WORD(ha,x);
+	ha &= 0x7fffffff;
+	GET_HIGH_WORD(hb,y);
+	hb &= 0x7fffffff;
+	if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+	SET_HIGH_WORD(a,ha);	/* a <- |a| */
+	SET_HIGH_WORD(b,hb);	/* b <- |b| */
+	if((ha-hb)>0x3c00000) {return a+b;} /* x/y > 2**60 */
+	k=0;
+	if(ha > 0x5f300000) {	/* a>2**500 */
+	   if(ha >= 0x7ff00000) {	/* Inf or NaN */
+	       u_int32_t low;
+	       w = a+b;			/* for sNaN */
+	       GET_LOW_WORD(low,a);
+	       if(((ha&0xfffff)|low)==0) w = a;
+	       GET_LOW_WORD(low,b);
+	       if(((hb^0x7ff00000)|low)==0) w = b;
+	       return w;
+	   }
+	   /* scale a and b by 2**-600 */
+	   ha -= 0x25800000; hb -= 0x25800000;	k += 600;
+	   SET_HIGH_WORD(a,ha);
+	   SET_HIGH_WORD(b,hb);
+	}
+	if(hb < 0x20b00000) {	/* b < 2**-500 */
+	    if(hb <= 0x000fffff) {	/* subnormal b or 0 */	
+	        u_int32_t low;
+		GET_LOW_WORD(low,b);
+		if((hb|low)==0) return a;
+		t1=0;
+		SET_HIGH_WORD(t1,0x7fd00000);	/* t1=2^1022 */
+		b *= t1;
+		a *= t1;
+		k -= 1022;
+	    } else {		/* scale a and b by 2^600 */
+	        ha += 0x25800000; 	/* a *= 2^600 */
+		hb += 0x25800000;	/* b *= 2^600 */
+		k -= 600;
+		SET_HIGH_WORD(a,ha);
+		SET_HIGH_WORD(b,hb);
+	    }
+	}
+    /* medium size a and b */
+	w = a-b;
+	if (w>b) {
+	    t1 = 0;
+	    SET_HIGH_WORD(t1,ha);
+	    t2 = a-t1;
+	    w  = __ieee754_sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
+	} else {
+	    a  = a+a;
+	    y1 = 0;
+	    SET_HIGH_WORD(y1,hb);
+	    y2 = b - y1;
+	    t1 = 0;
+	    SET_HIGH_WORD(t1,ha+0x00100000);
+	    t2 = a - t1;
+	    w  = __ieee754_sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+	}
+	if(k!=0) {
+	    u_int32_t high;
+	    t1 = 1.0;
+	    GET_HIGH_WORD(high,t1);
+	    SET_HIGH_WORD(t1,high+(k<<20));
+	    return t1*w;
+	} else return w;
+}
--- a/sysdeps/libm-ieee754/e_hypotf.c
+++ b/sysdeps/libm-ieee754/e_hypotf.c
@ -0,0 +1,87 @@
+/* e_hypotf.c -- float version of e_hypot.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_hypotf.c,v 1.5 1995/05/12 04:57:30 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+	float __ieee754_hypotf(float x, float y)
+#else
+	float __ieee754_hypot(x,y)
+	float x, y;
+#endif
+{
+	float a=x,b=y,t1,t2,y1,y2,w;
+	int32_t j,k,ha,hb;
+
+	GET_FLOAT_WORD(ha,x);
+	ha &= 0x7fffffff;
+	GET_FLOAT_WORD(hb,y);
+	hb &= 0x7fffffff;
+	if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+	SET_FLOAT_WORD(a,ha);	/* a <- |a| */
+	SET_FLOAT_WORD(b,hb);	/* b <- |b| */
+	if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */
+	k=0;
+	if(ha > 0x58800000) {	/* a>2**50 */
+	   if(ha >= 0x7f800000) {	/* Inf or NaN */
+	       w = a+b;			/* for sNaN */
+	       if(ha == 0x7f800000) w = a;
+	       if(hb == 0x7f800000) w = b;
+	       return w;
+	   }
+	   /* scale a and b by 2**-60 */
+	   ha -= 0x5d800000; hb -= 0x5d800000;	k += 60;
+	   SET_FLOAT_WORD(a,ha);
+	   SET_FLOAT_WORD(b,hb);
+	}
+	if(hb < 0x26800000) {	/* b < 2**-50 */
+	    if(hb <= 0x007fffff) {	/* subnormal b or 0 */	
+	        if(hb==0) return a;
+		SET_FLOAT_WORD(t1,0x3f000000);	/* t1=2^126 */
+		b *= t1;
+		a *= t1;
+		k -= 126;
+	    } else {		/* scale a and b by 2^60 */
+	        ha += 0x5d800000; 	/* a *= 2^60 */
+		hb += 0x5d800000;	/* b *= 2^60 */
+		k -= 60;
+		SET_FLOAT_WORD(a,ha);
+		SET_FLOAT_WORD(b,hb);
+	    }
+	}
+    /* medium size a and b */
+	w = a-b;
+	if (w>b) {
+	    SET_FLOAT_WORD(t1,ha&0xfffff000);
+	    t2 = a-t1;
+	    w  = __ieee754_sqrtf(t1*t1-(b*(-b)-t2*(a+t1)));
+	} else {
+	    a  = a+a;
+	    SET_FLOAT_WORD(y1,hb&0xfffff000);
+	    y2 = b - y1;
+	    SET_FLOAT_WORD(t1,ha+0x00800000);
+	    t2 = a - t1;
+	    w  = __ieee754_sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+	}
+	if(k!=0) {
+	    SET_FLOAT_WORD(t1,0x3f800000+(k<<23));
+	    return t1*w;
+	} else return w;
+}
--- a/sysdeps/libm-ieee754/e_j0.c
+++ b/sysdeps/libm-ieee754/e_j0.c
@ -0,0 +1,487 @@
+/* @(#)e_j0.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_j0.c,v 1.8 1995/05/10 20:45:23 jtc Exp $";
+#endif
+
+/* __ieee754_j0(x), __ieee754_y0(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- j0(x):
+ *	1. For tiny x, we use j0(x) = 1 - x^2/4 + x^4/64 - ...
+ *	2. Reduce x to |x| since j0(x)=j0(-x),  and
+ *	   for x in (0,2)
+ *		j0(x) = 1-z/4+ z^2*R0/S0,  where z = x*x;
+ *	   (precision:  |j0-1+z/4-z^2R0/S0 |<2**-63.67 )
+ *	   for x in (2,inf)
+ * 		j0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)-q0(x)*sin(x0))
+ * 	   where x0 = x-pi/4. It is better to compute sin(x0),cos(x0)
+ *	   as follow:
+ *		cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ *			= 1/sqrt(2) * (cos(x) + sin(x))
+ *		sin(x0) = sin(x)cos(pi/4)-cos(x)sin(pi/4)
+ *			= 1/sqrt(2) * (sin(x) - cos(x))
+ * 	   (To avoid cancellation, use
+ *		sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * 	    to compute the worse one.)
+ *
+ *	3 Special cases
+ *		j0(nan)= nan
+ *		j0(0) = 1
+ *		j0(inf) = 0
+ *
+ * Method -- y0(x):
+ *	1. For x<2.
+ *	   Since
+ *		y0(x) = 2/pi*(j0(x)*(ln(x/2)+Euler) + x^2/4 - ...)
+ *	   therefore y0(x)-2/pi*j0(x)*ln(x) is an even function.
+ *	   We use the following function to approximate y0,
+ *		y0(x) = U(z)/V(z) + (2/pi)*(j0(x)*ln(x)), z= x^2
+ *	   where
+ *		U(z) = u00 + u01*z + ... + u06*z^6
+ *		V(z) = 1  + v01*z + ... + v04*z^4
+ *	   with absolute approximation error bounded by 2**-72.
+ *	   Note: For tiny x, U/V = u0 and j0(x)~1, hence
+ *		y0(tiny) = u0 + (2/pi)*ln(tiny), (choose tiny<2**-27)
+ *	2. For x>=2.
+ * 		y0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)+q0(x)*sin(x0))
+ * 	   where x0 = x-pi/4. It is better to compute sin(x0),cos(x0)
+ *	   by the method mentioned above.
+ *	3. Special cases: y0(0)=-inf, y0(x<0)=NaN, y0(inf)=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static double pzero(double), qzero(double);
+#else
+static double pzero(), qzero();
+#endif
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+huge 	= 1e300,
+one	= 1.0,
+invsqrtpi=  5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+tpi      =  6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+ 		/* R0/S0 on [0, 2.00] */
+R02  =  1.56249999999999947958e-02, /* 0x3F8FFFFF, 0xFFFFFFFD */
+R03  = -1.89979294238854721751e-04, /* 0xBF28E6A5, 0xB61AC6E9 */
+R04  =  1.82954049532700665670e-06, /* 0x3EBEB1D1, 0x0C503919 */
+R05  = -4.61832688532103189199e-09, /* 0xBE33D5E7, 0x73D63FCE */
+S01  =  1.56191029464890010492e-02, /* 0x3F8FFCE8, 0x82C8C2A4 */
+S02  =  1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */
+S03  =  5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */
+S04  =  1.16614003333790000205e-09; /* 0x3E1408BC, 0xF4745D8F */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_j0(double x)
+#else
+	double __ieee754_j0(x)
+	double x;
+#endif
+{
+	double z, s,c,ss,cc,r,u,v;
+	int32_t hx,ix;
+
+	GET_HIGH_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x7ff00000) return one/(x*x);
+	x = fabs(x);
+	if(ix >= 0x40000000) {	/* |x| >= 2.0 */
+		s = __sin(x);
+		c = __cos(x);
+		ss = s-c;
+		cc = s+c;
+		if(ix<0x7fe00000) {  /* make sure x+x not overflow */
+		    z = -__cos(x+x);
+		    if ((s*c)<zero) cc = z/ss;
+		    else 	    ss = z/cc;
+		}
+	/*
+	 * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+	 * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+	 */
+		if(ix>0x48000000) z = (invsqrtpi*cc)/__sqrt(x);
+		else {
+		    u = pzero(x); v = qzero(x);
+		    z = invsqrtpi*(u*cc-v*ss)/__sqrt(x);
+		}
+		return z;
+	}
+	if(ix<0x3f200000) {	/* |x| < 2**-13 */
+	    if(huge+x>one) {	/* raise inexact if x != 0 */
+	        if(ix<0x3e400000) return one;	/* |x|<2**-27 */
+	        else 	      return one - 0.25*x*x;
+	    }
+	}
+	z = x*x;
+	r =  z*(R02+z*(R03+z*(R04+z*R05)));
+	s =  one+z*(S01+z*(S02+z*(S03+z*S04)));
+	if(ix < 0x3FF00000) {	/* |x| < 1.00 */
+	    return one + z*(-0.25+(r/s));
+	} else {
+	    u = 0.5*x;
+	    return((one+u)*(one-u)+z*(r/s));
+	}
+}
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+u00  = -7.38042951086872317523e-02, /* 0xBFB2E4D6, 0x99CBD01F */
+u01  =  1.76666452509181115538e-01, /* 0x3FC69D01, 0x9DE9E3FC */
+u02  = -1.38185671945596898896e-02, /* 0xBF8C4CE8, 0xB16CFA97 */
+u03  =  3.47453432093683650238e-04, /* 0x3F36C54D, 0x20B29B6B */
+u04  = -3.81407053724364161125e-06, /* 0xBECFFEA7, 0x73D25CAD */
+u05  =  1.95590137035022920206e-08, /* 0x3E550057, 0x3B4EABD4 */
+u06  = -3.98205194132103398453e-11, /* 0xBDC5E43D, 0x693FB3C8 */
+v01  =  1.27304834834123699328e-02, /* 0x3F8A1270, 0x91C9C71A */
+v02  =  7.60068627350353253702e-05, /* 0x3F13ECBB, 0xF578C6C1 */
+v03  =  2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */
+v04  =  4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */
+
+#ifdef __STDC__
+	double __ieee754_y0(double x)
+#else
+	double __ieee754_y0(x)
+	double x;
+#endif
+{
+	double z, s,c,ss,cc,u,v;
+	int32_t hx,ix,lx;
+
+	EXTRACT_WORDS(hx,lx,x);
+        ix = 0x7fffffff&hx;
+    /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0  */
+	if(ix>=0x7ff00000) return  one/(x+x*x);
+        if((ix|lx)==0) return -one/zero;
+        if(hx<0) return zero/zero;
+        if(ix >= 0x40000000) {  /* |x| >= 2.0 */
+        /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+         * where x0 = x-pi/4
+         *      Better formula:
+         *              cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+         *                      =  1/sqrt(2) * (sin(x) + cos(x))
+         *              sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+         *                      =  1/sqrt(2) * (sin(x) - cos(x))
+         * To avoid cancellation, use
+         *              sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+         * to compute the worse one.
+         */
+                s = __sin(x);
+                c = __cos(x);
+                ss = s-c;
+                cc = s+c;
+	/*
+	 * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+	 * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+	 */
+                if(ix<0x7fe00000) {  /* make sure x+x not overflow */
+                    z = -__cos(x+x);
+                    if ((s*c)<zero) cc = z/ss;
+                    else            ss = z/cc;
+                }
+                if(ix>0x48000000) z = (invsqrtpi*ss)/__sqrt(x);
+                else {
+                    u = pzero(x); v = qzero(x);
+                    z = invsqrtpi*(u*ss+v*cc)/__sqrt(x);
+                }
+                return z;
+	}
+	if(ix<=0x3e400000) {	/* x < 2**-27 */
+	    return(u00 + tpi*__ieee754_log(x));
+	}
+	z = x*x;
+	u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
+	v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+	return(u/v + tpi*(__ieee754_j0(x)*__ieee754_log(x)));
+}
+
+/* The asymptotic expansions of pzero is
+ *	1 - 9/128 s^2 + 11025/98304 s^4 - ...,	where s = 1/x.
+ * For x >= 2, We approximate pzero by
+ * 	pzero(x) = 1 + (R/S)
+ * where  R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
+ * 	  S = 1 + pS0*s^2 + ... + pS4*s^10
+ * and
+ *	| pzero(x)-1-R/S | <= 2  ** ( -60.26)
+ */
+#ifdef __STDC__
+static const double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ -7.03124999999900357484e-02, /* 0xBFB1FFFF, 0xFFFFFD32 */
+ -8.08167041275349795626e+00, /* 0xC02029D0, 0xB44FA779 */
+ -2.57063105679704847262e+02, /* 0xC0701102, 0x7B19E863 */
+ -2.48521641009428822144e+03, /* 0xC0A36A6E, 0xCD4DCAFC */
+ -5.25304380490729545272e+03, /* 0xC0B4850B, 0x36CC643D */
+};
+#ifdef __STDC__
+static const double pS8[5] = {
+#else
+static double pS8[5] = {
+#endif
+  1.16534364619668181717e+02, /* 0x405D2233, 0x07A96751 */
+  3.83374475364121826715e+03, /* 0x40ADF37D, 0x50596938 */
+  4.05978572648472545552e+04, /* 0x40E3D2BB, 0x6EB6B05F */
+  1.16752972564375915681e+05, /* 0x40FC810F, 0x8F9FA9BD */
+  4.76277284146730962675e+04, /* 0x40E74177, 0x4F2C49DC */
+};
+
+#ifdef __STDC__
+static const double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -1.14125464691894502584e-11, /* 0xBDA918B1, 0x47E495CC */
+ -7.03124940873599280078e-02, /* 0xBFB1FFFF, 0xE69AFBC6 */
+ -4.15961064470587782438e+00, /* 0xC010A370, 0xF90C6BBF */
+ -6.76747652265167261021e+01, /* 0xC050EB2F, 0x5A7D1783 */
+ -3.31231299649172967747e+02, /* 0xC074B3B3, 0x6742CC63 */
+ -3.46433388365604912451e+02, /* 0xC075A6EF, 0x28A38BD7 */
+};
+#ifdef __STDC__
+static const double pS5[5] = {
+#else
+static double pS5[5] = {
+#endif
+  6.07539382692300335975e+01, /* 0x404E6081, 0x0C98C5DE */
+  1.05125230595704579173e+03, /* 0x40906D02, 0x5C7E2864 */
+  5.97897094333855784498e+03, /* 0x40B75AF8, 0x8FBE1D60 */
+  9.62544514357774460223e+03, /* 0x40C2CCB8, 0xFA76FA38 */
+  2.40605815922939109441e+03, /* 0x40A2CC1D, 0xC70BE864 */
+};
+
+#ifdef __STDC__
+static const double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -2.54704601771951915620e-09, /* 0xBE25E103, 0x6FE1AA86 */
+ -7.03119616381481654654e-02, /* 0xBFB1FFF6, 0xF7C0E24B */
+ -2.40903221549529611423e+00, /* 0xC00345B2, 0xAEA48074 */
+ -2.19659774734883086467e+01, /* 0xC035F74A, 0x4CB94E14 */
+ -5.80791704701737572236e+01, /* 0xC04D0A22, 0x420A1A45 */
+ -3.14479470594888503854e+01, /* 0xC03F72AC, 0xA892D80F */
+};
+#ifdef __STDC__
+static const double pS3[5] = {
+#else
+static double pS3[5] = {
+#endif
+  3.58560338055209726349e+01, /* 0x4041ED92, 0x84077DD3 */
+  3.61513983050303863820e+02, /* 0x40769839, 0x464A7C0E */
+  1.19360783792111533330e+03, /* 0x4092A66E, 0x6D1061D6 */
+  1.12799679856907414432e+03, /* 0x40919FFC, 0xB8C39B7E */
+  1.73580930813335754692e+02, /* 0x4065B296, 0xFC379081 */
+};
+
+#ifdef __STDC__
+static const double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -8.87534333032526411254e-08, /* 0xBE77D316, 0xE927026D */
+ -7.03030995483624743247e-02, /* 0xBFB1FF62, 0x495E1E42 */
+ -1.45073846780952986357e+00, /* 0xBFF73639, 0x8A24A843 */
+ -7.63569613823527770791e+00, /* 0xC01E8AF3, 0xEDAFA7F3 */
+ -1.11931668860356747786e+01, /* 0xC02662E6, 0xC5246303 */
+ -3.23364579351335335033e+00, /* 0xC009DE81, 0xAF8FE70F */
+};
+#ifdef __STDC__
+static const double pS2[5] = {
+#else
+static double pS2[5] = {
+#endif
+  2.22202997532088808441e+01, /* 0x40363865, 0x908B5959 */
+  1.36206794218215208048e+02, /* 0x4061069E, 0x0EE8878F */
+  2.70470278658083486789e+02, /* 0x4070E786, 0x42EA079B */
+  1.53875394208320329881e+02, /* 0x40633C03, 0x3AB6FAFF */
+  1.46576176948256193810e+01, /* 0x402D50B3, 0x44391809 */
+};
+
+#ifdef __STDC__
+	static double pzero(double x)
+#else
+	static double pzero(x)
+	double x;
+#endif
+{
+#ifdef __STDC__
+	const double *p,*q;
+#else
+	double *p,*q;
+#endif
+	double z,r,s;
+	int32_t ix;
+	GET_HIGH_WORD(ix,x);
+	ix &= 0x7fffffff;
+	if(ix>=0x40200000)     {p = pR8; q= pS8;}
+	else if(ix>=0x40122E8B){p = pR5; q= pS5;}
+	else if(ix>=0x4006DB6D){p = pR3; q= pS3;}
+	else if(ix>=0x40000000){p = pR2; q= pS2;}
+	z = one/(x*x);
+	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+	return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qzero is
+ *	-1/8 s + 75/1024 s^3 - ..., where s = 1/x.
+ * We approximate pzero by
+ * 	qzero(x) = s*(-1.25 + (R/S))
+ * where  R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
+ * 	  S = 1 + qS0*s^2 + ... + qS5*s^12
+ * and
+ *	| qzero(x)/s +1.25-R/S | <= 2  ** ( -61.22)
+ */
+#ifdef __STDC__
+static const double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+  7.32421874999935051953e-02, /* 0x3FB2BFFF, 0xFFFFFE2C */
+  1.17682064682252693899e+01, /* 0x40278952, 0x5BB334D6 */
+  5.57673380256401856059e+02, /* 0x40816D63, 0x15301825 */
+  8.85919720756468632317e+03, /* 0x40C14D99, 0x3E18F46D */
+  3.70146267776887834771e+04, /* 0x40E212D4, 0x0E901566 */
+};
+#ifdef __STDC__
+static const double qS8[6] = {
+#else
+static double qS8[6] = {
+#endif
+  1.63776026895689824414e+02, /* 0x406478D5, 0x365B39BC */
+  8.09834494656449805916e+03, /* 0x40BFA258, 0x4E6B0563 */
+  1.42538291419120476348e+05, /* 0x41016652, 0x54D38C3F */
+  8.03309257119514397345e+05, /* 0x412883DA, 0x83A52B43 */
+  8.40501579819060512818e+05, /* 0x4129A66B, 0x28DE0B3D */
+ -3.43899293537866615225e+05, /* 0xC114FD6D, 0x2C9530C5 */
+};
+
+#ifdef __STDC__
+static const double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+  1.84085963594515531381e-11, /* 0x3DB43D8F, 0x29CC8CD9 */
+  7.32421766612684765896e-02, /* 0x3FB2BFFF, 0xD172B04C */
+  5.83563508962056953777e+00, /* 0x401757B0, 0xB9953DD3 */
+  1.35111577286449829671e+02, /* 0x4060E392, 0x0A8788E9 */
+  1.02724376596164097464e+03, /* 0x40900CF9, 0x9DC8C481 */
+  1.98997785864605384631e+03, /* 0x409F17E9, 0x53C6E3A6 */
+};
+#ifdef __STDC__
+static const double qS5[6] = {
+#else
+static double qS5[6] = {
+#endif
+  8.27766102236537761883e+01, /* 0x4054B1B3, 0xFB5E1543 */
+  2.07781416421392987104e+03, /* 0x40A03BA0, 0xDA21C0CE */
+  1.88472887785718085070e+04, /* 0x40D267D2, 0x7B591E6D */
+  5.67511122894947329769e+04, /* 0x40EBB5E3, 0x97E02372 */
+  3.59767538425114471465e+04, /* 0x40E19118, 0x1F7A54A0 */
+ -5.35434275601944773371e+03, /* 0xC0B4EA57, 0xBEDBC609 */
+};
+
+#ifdef __STDC__
+static const double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+  4.37741014089738620906e-09, /* 0x3E32CD03, 0x6ADECB82 */
+  7.32411180042911447163e-02, /* 0x3FB2BFEE, 0x0E8D0842 */
+  3.34423137516170720929e+00, /* 0x400AC0FC, 0x61149CF5 */
+  4.26218440745412650017e+01, /* 0x40454F98, 0x962DAEDD */
+  1.70808091340565596283e+02, /* 0x406559DB, 0xE25EFD1F */
+  1.66733948696651168575e+02, /* 0x4064D77C, 0x81FA21E0 */
+};
+#ifdef __STDC__
+static const double qS3[6] = {
+#else
+static double qS3[6] = {
+#endif
+  4.87588729724587182091e+01, /* 0x40486122, 0xBFE343A6 */
+  7.09689221056606015736e+02, /* 0x40862D83, 0x86544EB3 */
+  3.70414822620111362994e+03, /* 0x40ACF04B, 0xE44DFC63 */
+  6.46042516752568917582e+03, /* 0x40B93C6C, 0xD7C76A28 */
+  2.51633368920368957333e+03, /* 0x40A3A8AA, 0xD94FB1C0 */
+ -1.49247451836156386662e+02, /* 0xC062A7EB, 0x201CF40F */
+};
+
+#ifdef __STDC__
+static const double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+  1.50444444886983272379e-07, /* 0x3E84313B, 0x54F76BDB */
+  7.32234265963079278272e-02, /* 0x3FB2BEC5, 0x3E883E34 */
+  1.99819174093815998816e+00, /* 0x3FFFF897, 0xE727779C */
+  1.44956029347885735348e+01, /* 0x402CFDBF, 0xAAF96FE5 */
+  3.16662317504781540833e+01, /* 0x403FAA8E, 0x29FBDC4A */
+  1.62527075710929267416e+01, /* 0x403040B1, 0x71814BB4 */
+};
+#ifdef __STDC__
+static const double qS2[6] = {
+#else
+static double qS2[6] = {
+#endif
+  3.03655848355219184498e+01, /* 0x403E5D96, 0xF7C07AED */
+  2.69348118608049844624e+02, /* 0x4070D591, 0xE4D14B40 */
+  8.44783757595320139444e+02, /* 0x408A6645, 0x22B3BF22 */
+  8.82935845112488550512e+02, /* 0x408B977C, 0x9C5CC214 */
+  2.12666388511798828631e+02, /* 0x406A9553, 0x0E001365 */
+ -5.31095493882666946917e+00, /* 0xC0153E6A, 0xF8B32931 */
+};
+
+#ifdef __STDC__
+	static double qzero(double x)
+#else
+	static double qzero(x)
+	double x;
+#endif
+{
+#ifdef __STDC__
+	const double *p,*q;
+#else
+	double *p,*q;
+#endif
+	double s,r,z;
+	int32_t ix;
+	GET_HIGH_WORD(ix,x);
+	ix &= 0x7fffffff;
+	if(ix>=0x40200000)     {p = qR8; q= qS8;}
+	else if(ix>=0x40122E8B){p = qR5; q= qS5;}
+	else if(ix>=0x4006DB6D){p = qR3; q= qS3;}
+	else if(ix>=0x40000000){p = qR2; q= qS2;}
+	z = one/(x*x);
+	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+	return (-.125 + r/s)/x;
+}
--- a/sysdeps/libm-ieee754/e_j0f.c
+++ b/sysdeps/libm-ieee754/e_j0f.c
@ -0,0 +1,444 @@
+/* e_j0f.c -- float version of e_j0.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_j0f.c,v 1.4 1995/05/10 20:45:25 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static float pzerof(float), qzerof(float);
+#else
+static float pzerof(), qzerof();
+#endif
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+huge 	= 1e30,
+one	= 1.0,
+invsqrtpi=  5.6418961287e-01, /* 0x3f106ebb */
+tpi      =  6.3661974669e-01, /* 0x3f22f983 */
+ 		/* R0/S0 on [0, 2.00] */
+R02  =  1.5625000000e-02, /* 0x3c800000 */
+R03  = -1.8997929874e-04, /* 0xb947352e */
+R04  =  1.8295404516e-06, /* 0x35f58e88 */
+R05  = -4.6183270541e-09, /* 0xb19eaf3c */
+S01  =  1.5619102865e-02, /* 0x3c7fe744 */
+S02  =  1.1692678527e-04, /* 0x38f53697 */
+S03  =  5.1354652442e-07, /* 0x3509daa6 */
+S04  =  1.1661400734e-09; /* 0x30a045e8 */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_j0f(float x) 
+#else
+	float __ieee754_j0f(x) 
+	float x;
+#endif
+{
+	float z, s,c,ss,cc,r,u,v;
+	int32_t hx,ix;
+
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x7f800000) return one/(x*x);
+	x = fabsf(x);
+	if(ix >= 0x40000000) {	/* |x| >= 2.0 */
+		s = __sinf(x);
+		c = __cosf(x);
+		ss = s-c;
+		cc = s+c;
+		if(ix<0x7f000000) {  /* make sure x+x not overflow */
+		    z = -__cosf(x+x);
+		    if ((s*c)<zero) cc = z/ss;
+		    else 	    ss = z/cc;
+		}
+	/*
+	 * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+	 * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+	 */
+		if(ix>0x80000000) z = (invsqrtpi*cc)/__sqrtf(x);
+		else {
+		    u = pzerof(x); v = qzerof(x);
+		    z = invsqrtpi*(u*cc-v*ss)/__sqrtf(x);
+		}
+		return z;
+	}
+	if(ix<0x39000000) {	/* |x| < 2**-13 */
+	    if(huge+x>one) {	/* raise inexact if x != 0 */
+	        if(ix<0x32000000) return one;	/* |x|<2**-27 */
+	        else 	      return one - (float)0.25*x*x;
+	    }
+	}
+	z = x*x;
+	r =  z*(R02+z*(R03+z*(R04+z*R05)));
+	s =  one+z*(S01+z*(S02+z*(S03+z*S04)));
+	if(ix < 0x3F800000) {	/* |x| < 1.00 */
+	    return one + z*((float)-0.25+(r/s));
+	} else {
+	    u = (float)0.5*x;
+	    return((one+u)*(one-u)+z*(r/s));
+	}
+}
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+u00  = -7.3804296553e-02, /* 0xbd9726b5 */
+u01  =  1.7666645348e-01, /* 0x3e34e80d */
+u02  = -1.3818567619e-02, /* 0xbc626746 */
+u03  =  3.4745343146e-04, /* 0x39b62a69 */
+u04  = -3.8140706238e-06, /* 0xb67ff53c */
+u05  =  1.9559013964e-08, /* 0x32a802ba */
+u06  = -3.9820518410e-11, /* 0xae2f21eb */
+v01  =  1.2730483897e-02, /* 0x3c509385 */
+v02  =  7.6006865129e-05, /* 0x389f65e0 */
+v03  =  2.5915085189e-07, /* 0x348b216c */
+v04  =  4.4111031494e-10; /* 0x2ff280c2 */
+
+#ifdef __STDC__
+	float __ieee754_y0f(float x) 
+#else
+	float __ieee754_y0f(x) 
+	float x;
+#endif
+{
+	float z, s,c,ss,cc,u,v;
+	int32_t hx,ix;
+
+	GET_FLOAT_WORD(hx,x);
+        ix = 0x7fffffff&hx;
+    /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0  */
+	if(ix>=0x7f800000) return  one/(x+x*x); 
+        if(ix==0) return -one/zero;
+        if(hx<0) return zero/zero;
+        if(ix >= 0x40000000) {  /* |x| >= 2.0 */
+        /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+         * where x0 = x-pi/4
+         *      Better formula:
+         *              cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+         *                      =  1/sqrt(2) * (sin(x) + cos(x))
+         *              sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+         *                      =  1/sqrt(2) * (sin(x) - cos(x))
+         * To avoid cancellation, use
+         *              sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+         * to compute the worse one.
+         */
+                s = __sinf(x);
+                c = __cosf(x);
+                ss = s-c;
+                cc = s+c;
+	/*
+	 * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+	 * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+	 */
+                if(ix<0x7f000000) {  /* make sure x+x not overflow */
+                    z = -__cosf(x+x);
+                    if ((s*c)<zero) cc = z/ss;
+                    else            ss = z/cc;
+                }
+                if(ix>0x80000000) z = (invsqrtpi*ss)/__sqrtf(x);
+                else {
+                    u = pzerof(x); v = qzerof(x);
+                    z = invsqrtpi*(u*ss+v*cc)/__sqrtf(x);
+                }
+                return z;
+	}
+	if(ix<=0x32000000) {	/* x < 2**-27 */
+	    return(u00 + tpi*__ieee754_logf(x));
+	}
+	z = x*x;
+	u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
+	v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+	return(u/v + tpi*(__ieee754_j0f(x)*__ieee754_logf(x)));
+}
+
+/* The asymptotic expansions of pzero is
+ *	1 - 9/128 s^2 + 11025/98304 s^4 - ...,	where s = 1/x.
+ * For x >= 2, We approximate pzero by
+ * 	pzero(x) = 1 + (R/S)
+ * where  R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
+ * 	  S = 1 + pS0*s^2 + ... + pS4*s^10
+ * and
+ *	| pzero(x)-1-R/S | <= 2  ** ( -60.26)
+ */
+#ifdef __STDC__
+static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+  0.0000000000e+00, /* 0x00000000 */
+ -7.0312500000e-02, /* 0xbd900000 */
+ -8.0816707611e+00, /* 0xc1014e86 */
+ -2.5706311035e+02, /* 0xc3808814 */
+ -2.4852163086e+03, /* 0xc51b5376 */
+ -5.2530439453e+03, /* 0xc5a4285a */
+};
+#ifdef __STDC__
+static const float pS8[5] = {
+#else
+static float pS8[5] = {
+#endif
+  1.1653436279e+02, /* 0x42e91198 */
+  3.8337448730e+03, /* 0x456f9beb */
+  4.0597855469e+04, /* 0x471e95db */
+  1.1675296875e+05, /* 0x47e4087c */
+  4.7627726562e+04, /* 0x473a0bba */
+};
+#ifdef __STDC__
+static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -1.1412546255e-11, /* 0xad48c58a */
+ -7.0312492549e-02, /* 0xbd8fffff */
+ -4.1596107483e+00, /* 0xc0851b88 */
+ -6.7674766541e+01, /* 0xc287597b */
+ -3.3123129272e+02, /* 0xc3a59d9b */
+ -3.4643338013e+02, /* 0xc3ad3779 */
+};
+#ifdef __STDC__
+static const float pS5[5] = {
+#else
+static float pS5[5] = {
+#endif
+  6.0753936768e+01, /* 0x42730408 */
+  1.0512523193e+03, /* 0x44836813 */
+  5.9789707031e+03, /* 0x45bad7c4 */
+  9.6254453125e+03, /* 0x461665c8 */
+  2.4060581055e+03, /* 0x451660ee */
+};
+
+#ifdef __STDC__
+static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -2.5470459075e-09, /* 0xb12f081b */
+ -7.0311963558e-02, /* 0xbd8fffb8 */
+ -2.4090321064e+00, /* 0xc01a2d95 */
+ -2.1965976715e+01, /* 0xc1afba52 */
+ -5.8079170227e+01, /* 0xc2685112 */
+ -3.1447946548e+01, /* 0xc1fb9565 */
+};
+#ifdef __STDC__
+static const float pS3[5] = {
+#else
+static float pS3[5] = {
+#endif
+  3.5856033325e+01, /* 0x420f6c94 */
+  3.6151397705e+02, /* 0x43b4c1ca */
+  1.1936077881e+03, /* 0x44953373 */
+  1.1279968262e+03, /* 0x448cffe6 */
+  1.7358093262e+02, /* 0x432d94b8 */
+};
+
+#ifdef __STDC__
+static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -8.8753431271e-08, /* 0xb3be98b7 */
+ -7.0303097367e-02, /* 0xbd8ffb12 */
+ -1.4507384300e+00, /* 0xbfb9b1cc */
+ -7.6356959343e+00, /* 0xc0f4579f */
+ -1.1193166733e+01, /* 0xc1331736 */
+ -3.2336456776e+00, /* 0xc04ef40d */
+};
+#ifdef __STDC__
+static const float pS2[5] = {
+#else
+static float pS2[5] = {
+#endif
+  2.2220300674e+01, /* 0x41b1c32d */
+  1.3620678711e+02, /* 0x430834f0 */
+  2.7047027588e+02, /* 0x43873c32 */
+  1.5387539673e+02, /* 0x4319e01a */
+  1.4657617569e+01, /* 0x416a859a */
+};
+
+#ifdef __STDC__
+	static float pzerof(float x)
+#else
+	static float pzerof(x)
+	float x;
+#endif
+{
+#ifdef __STDC__
+	const float *p,*q;
+#else
+	float *p,*q;
+#endif
+	float z,r,s;
+	int32_t ix;
+	GET_FLOAT_WORD(ix,x);
+	ix &= 0x7fffffff;
+	if(ix>=0x41000000)     {p = pR8; q= pS8;}
+	else if(ix>=0x40f71c58){p = pR5; q= pS5;}
+	else if(ix>=0x4036db68){p = pR3; q= pS3;}
+	else if(ix>=0x40000000){p = pR2; q= pS2;}
+	z = one/(x*x);
+	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+	return one+ r/s;
+}
+		
+
+/* For x >= 8, the asymptotic expansions of qzero is
+ *	-1/8 s + 75/1024 s^3 - ..., where s = 1/x.
+ * We approximate pzero by
+ * 	qzero(x) = s*(-1.25 + (R/S))
+ * where  R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
+ * 	  S = 1 + qS0*s^2 + ... + qS5*s^12
+ * and
+ *	| qzero(x)/s +1.25-R/S | <= 2  ** ( -61.22)
+ */
+#ifdef __STDC__
+static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+  0.0000000000e+00, /* 0x00000000 */
+  7.3242187500e-02, /* 0x3d960000 */
+  1.1768206596e+01, /* 0x413c4a93 */
+  5.5767340088e+02, /* 0x440b6b19 */
+  8.8591972656e+03, /* 0x460a6cca */
+  3.7014625000e+04, /* 0x471096a0 */
+};
+#ifdef __STDC__
+static const float qS8[6] = {
+#else
+static float qS8[6] = {
+#endif
+  1.6377603149e+02, /* 0x4323c6aa */
+  8.0983447266e+03, /* 0x45fd12c2 */
+  1.4253829688e+05, /* 0x480b3293 */
+  8.0330925000e+05, /* 0x49441ed4 */
+  8.4050156250e+05, /* 0x494d3359 */
+ -3.4389928125e+05, /* 0xc8a7eb69 */
+};
+
+#ifdef __STDC__
+static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+  1.8408595828e-11, /* 0x2da1ec79 */
+  7.3242180049e-02, /* 0x3d95ffff */
+  5.8356351852e+00, /* 0x40babd86 */
+  1.3511157227e+02, /* 0x43071c90 */
+  1.0272437744e+03, /* 0x448067cd */
+  1.9899779053e+03, /* 0x44f8bf4b */
+};
+#ifdef __STDC__
+static const float qS5[6] = {
+#else
+static float qS5[6] = {
+#endif
+  8.2776611328e+01, /* 0x42a58da0 */
+  2.0778142090e+03, /* 0x4501dd07 */
+  1.8847289062e+04, /* 0x46933e94 */
+  5.6751113281e+04, /* 0x475daf1d */
+  3.5976753906e+04, /* 0x470c88c1 */
+ -5.3543427734e+03, /* 0xc5a752be */
+};
+
+#ifdef __STDC__
+static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+  4.3774099900e-09, /* 0x3196681b */
+  7.3241114616e-02, /* 0x3d95ff70 */
+  3.3442313671e+00, /* 0x405607e3 */
+  4.2621845245e+01, /* 0x422a7cc5 */
+  1.7080809021e+02, /* 0x432acedf */
+  1.6673394775e+02, /* 0x4326bbe4 */
+};
+#ifdef __STDC__
+static const float qS3[6] = {
+#else
+static float qS3[6] = {
+#endif
+  4.8758872986e+01, /* 0x42430916 */
+  7.0968920898e+02, /* 0x44316c1c */
+  3.7041481934e+03, /* 0x4567825f */
+  6.4604252930e+03, /* 0x45c9e367 */
+  2.5163337402e+03, /* 0x451d4557 */
+ -1.4924745178e+02, /* 0xc3153f59 */
+};
+
+#ifdef __STDC__
+static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+  1.5044444979e-07, /* 0x342189db */
+  7.3223426938e-02, /* 0x3d95f62a */
+  1.9981917143e+00, /* 0x3fffc4bf */
+  1.4495602608e+01, /* 0x4167edfd */
+  3.1666231155e+01, /* 0x41fd5471 */
+  1.6252708435e+01, /* 0x4182058c */
+};
+#ifdef __STDC__
+static const float qS2[6] = {
+#else
+static float qS2[6] = {
+#endif
+  3.0365585327e+01, /* 0x41f2ecb8 */
+  2.6934811401e+02, /* 0x4386ac8f */
+  8.4478375244e+02, /* 0x44533229 */
+  8.8293585205e+02, /* 0x445cbbe5 */
+  2.1266638184e+02, /* 0x4354aa98 */
+ -5.3109550476e+00, /* 0xc0a9f358 */
+};
+
+#ifdef __STDC__
+	static float qzerof(float x)
+#else
+	static float qzerof(x)
+	float x;
+#endif
+{
+#ifdef __STDC__
+	const float *p,*q;
+#else
+	float *p,*q;
+#endif
+	float s,r,z;
+	int32_t ix;
+	GET_FLOAT_WORD(ix,x);
+	ix &= 0x7fffffff;
+	if(ix>=0x41000000)     {p = qR8; q= qS8;}
+	else if(ix>=0x40f71c58){p = qR5; q= qS5;}
+	else if(ix>=0x4036db68){p = qR3; q= qS3;}
+	else if(ix>=0x40000000){p = qR2; q= qS2;}
+	z = one/(x*x);
+	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+	return (-(float).125 + r/s)/x;
+}
--- a/sysdeps/libm-ieee754/e_j1.c
+++ b/sysdeps/libm-ieee754/e_j1.c
@ -0,0 +1,486 @@
+/* @(#)e_j1.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_j1.c,v 1.8 1995/05/10 20:45:27 jtc Exp $";
+#endif
+
+/* __ieee754_j1(x), __ieee754_y1(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- j1(x):
+ *	1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ...
+ *	2. Reduce x to |x| since j1(x)=-j1(-x),  and
+ *	   for x in (0,2)
+ *		j1(x) = x/2 + x*z*R0/S0,  where z = x*x;
+ *	   (precision:  |j1/x - 1/2 - R0/S0 |<2**-61.51 )
+ *	   for x in (2,inf)
+ * 		j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1))
+ * 		y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
+ * 	   where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
+ *	   as follow:
+ *		cos(x1) =  cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ *			=  1/sqrt(2) * (sin(x) - cos(x))
+ *		sin(x1) =  sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ *			= -1/sqrt(2) * (sin(x) + cos(x))
+ * 	   (To avoid cancellation, use
+ *		sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * 	    to compute the worse one.)
+ *
+ *	3 Special cases
+ *		j1(nan)= nan
+ *		j1(0) = 0
+ *		j1(inf) = 0
+ *
+ * Method -- y1(x):
+ *	1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN
+ *	2. For x<2.
+ *	   Since
+ *		y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...)
+ *	   therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function.
+ *	   We use the following function to approximate y1,
+ *		y1(x) = x*U(z)/V(z) + (2/pi)*(j1(x)*ln(x)-1/x), z= x^2
+ *	   where for x in [0,2] (abs err less than 2**-65.89)
+ *		U(z) = U0[0] + U0[1]*z + ... + U0[4]*z^4
+ *		V(z) = 1  + v0[0]*z + ... + v0[4]*z^5
+ *	   Note: For tiny x, 1/x dominate y1 and hence
+ *		y1(tiny) = -2/pi/tiny, (choose tiny<2**-54)
+ *	3. For x>=2.
+ * 		y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
+ * 	   where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
+ *	   by method mentioned above.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static double pone(double), qone(double);
+#else
+static double pone(), qone();
+#endif
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+huge    = 1e300,
+one	= 1.0,
+invsqrtpi=  5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+tpi      =  6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+	/* R0/S0 on [0,2] */
+r00  = -6.25000000000000000000e-02, /* 0xBFB00000, 0x00000000 */
+r01  =  1.40705666955189706048e-03, /* 0x3F570D9F, 0x98472C61 */
+r02  = -1.59955631084035597520e-05, /* 0xBEF0C5C6, 0xBA169668 */
+r03  =  4.96727999609584448412e-08, /* 0x3E6AAAFA, 0x46CA0BD9 */
+s01  =  1.91537599538363460805e-02, /* 0x3F939D0B, 0x12637E53 */
+s02  =  1.85946785588630915560e-04, /* 0x3F285F56, 0xB9CDF664 */
+s03  =  1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */
+s04  =  5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */
+s05  =  1.23542274426137913908e-11; /* 0x3DAB2ACF, 0xCFB97ED8 */
+
+#ifdef __STDC__
+static const double zero    = 0.0;
+#else
+static double zero    = 0.0;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_j1(double x)
+#else
+	double __ieee754_j1(x)
+	double x;
+#endif
+{
+	double z, s,c,ss,cc,r,u,v,y;
+	int32_t hx,ix;
+
+	GET_HIGH_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x7ff00000) return one/x;
+	y = fabs(x);
+	if(ix >= 0x40000000) {	/* |x| >= 2.0 */
+		s = __sin(y);
+		c = __cos(y);
+		ss = -s-c;
+		cc = s-c;
+		if(ix<0x7fe00000) {  /* make sure y+y not overflow */
+		    z = __cos(y+y);
+		    if ((s*c)>zero) cc = z/ss;
+		    else 	    ss = z/cc;
+		}
+	/*
+	 * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
+	 * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
+	 */
+		if(ix>0x48000000) z = (invsqrtpi*cc)/__sqrt(y);
+		else {
+		    u = pone(y); v = qone(y);
+		    z = invsqrtpi*(u*cc-v*ss)/__sqrt(y);
+		}
+		if(hx<0) return -z;
+		else  	 return  z;
+	}
+	if(ix<0x3e400000) {	/* |x|<2**-27 */
+	    if(huge+x>one) return 0.5*x;/* inexact if x!=0 necessary */
+	}
+	z = x*x;
+	r =  z*(r00+z*(r01+z*(r02+z*r03)));
+	s =  one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+	r *= x;
+	return(x*0.5+r/s);
+}
+
+#ifdef __STDC__
+static const double U0[5] = {
+#else
+static double U0[5] = {
+#endif
+ -1.96057090646238940668e-01, /* 0xBFC91866, 0x143CBC8A */
+  5.04438716639811282616e-02, /* 0x3FA9D3C7, 0x76292CD1 */
+ -1.91256895875763547298e-03, /* 0xBF5F55E5, 0x4844F50F */
+  2.35252600561610495928e-05, /* 0x3EF8AB03, 0x8FA6B88E */
+ -9.19099158039878874504e-08, /* 0xBE78AC00, 0x569105B8 */
+};
+#ifdef __STDC__
+static const double V0[5] = {
+#else
+static double V0[5] = {
+#endif
+  1.99167318236649903973e-02, /* 0x3F94650D, 0x3F4DA9F0 */
+  2.02552581025135171496e-04, /* 0x3F2A8C89, 0x6C257764 */
+  1.35608801097516229404e-06, /* 0x3EB6C05A, 0x894E8CA6 */
+  6.22741452364621501295e-09, /* 0x3E3ABF1D, 0x5BA69A86 */
+  1.66559246207992079114e-11, /* 0x3DB25039, 0xDACA772A */
+};
+
+#ifdef __STDC__
+	double __ieee754_y1(double x)
+#else
+	double __ieee754_y1(x)
+	double x;
+#endif
+{
+	double z, s,c,ss,cc,u,v;
+	int32_t hx,ix,lx;
+
+	EXTRACT_WORDS(hx,lx,x);
+        ix = 0x7fffffff&hx;
+    /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
+	if(ix>=0x7ff00000) return  one/(x+x*x);
+        if((ix|lx)==0) return -one/zero;
+        if(hx<0) return zero/zero;
+        if(ix >= 0x40000000) {  /* |x| >= 2.0 */
+                s = __sin(x);
+                c = __cos(x);
+                ss = -s-c;
+                cc = s-c;
+                if(ix<0x7fe00000) {  /* make sure x+x not overflow */
+                    z = __cos(x+x);
+                    if ((s*c)>zero) cc = z/ss;
+                    else            ss = z/cc;
+                }
+        /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
+         * where x0 = x-3pi/4
+         *      Better formula:
+         *              cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+         *                      =  1/sqrt(2) * (sin(x) - cos(x))
+         *              sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+         *                      = -1/sqrt(2) * (cos(x) + sin(x))
+         * To avoid cancellation, use
+         *              sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+         * to compute the worse one.
+         */
+                if(ix>0x48000000) z = (invsqrtpi*ss)/__sqrt(x);
+                else {
+                    u = pone(x); v = qone(x);
+                    z = invsqrtpi*(u*ss+v*cc)/__sqrt(x);
+                }
+                return z;
+        }
+        if(ix<=0x3c900000) {    /* x < 2**-54 */
+            return(-tpi/x);
+        }
+        z = x*x;
+        u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
+        v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+        return(x*(u/v) + tpi*(__ieee754_j1(x)*__ieee754_log(x)-one/x));
+}
+
+/* For x >= 8, the asymptotic expansions of pone is
+ *	1 + 15/128 s^2 - 4725/2^15 s^4 - ...,	where s = 1/x.
+ * We approximate pone by
+ * 	pone(x) = 1 + (R/S)
+ * where  R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
+ * 	  S = 1 + ps0*s^2 + ... + ps4*s^10
+ * and
+ *	| pone(x)-1-R/S | <= 2  ** ( -60.06)
+ */
+
+#ifdef __STDC__
+static const double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+  1.17187499999988647970e-01, /* 0x3FBDFFFF, 0xFFFFFCCE */
+  1.32394806593073575129e+01, /* 0x402A7A9D, 0x357F7FCE */
+  4.12051854307378562225e+02, /* 0x4079C0D4, 0x652EA590 */
+  3.87474538913960532227e+03, /* 0x40AE457D, 0xA3A532CC */
+  7.91447954031891731574e+03, /* 0x40BEEA7A, 0xC32782DD */
+};
+#ifdef __STDC__
+static const double ps8[5] = {
+#else
+static double ps8[5] = {
+#endif
+  1.14207370375678408436e+02, /* 0x405C8D45, 0x8E656CAC */
+  3.65093083420853463394e+03, /* 0x40AC85DC, 0x964D274F */
+  3.69562060269033463555e+04, /* 0x40E20B86, 0x97C5BB7F */
+  9.76027935934950801311e+04, /* 0x40F7D42C, 0xB28F17BB */
+  3.08042720627888811578e+04, /* 0x40DE1511, 0x697A0B2D */
+};
+
+#ifdef __STDC__
+static const double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+  1.31990519556243522749e-11, /* 0x3DAD0667, 0xDAE1CA7D */
+  1.17187493190614097638e-01, /* 0x3FBDFFFF, 0xE2C10043 */
+  6.80275127868432871736e+00, /* 0x401B3604, 0x6E6315E3 */
+  1.08308182990189109773e+02, /* 0x405B13B9, 0x452602ED */
+  5.17636139533199752805e+02, /* 0x40802D16, 0xD052D649 */
+  5.28715201363337541807e+02, /* 0x408085B8, 0xBB7E0CB7 */
+};
+#ifdef __STDC__
+static const double ps5[5] = {
+#else
+static double ps5[5] = {
+#endif
+  5.92805987221131331921e+01, /* 0x404DA3EA, 0xA8AF633D */
+  9.91401418733614377743e+02, /* 0x408EFB36, 0x1B066701 */
+  5.35326695291487976647e+03, /* 0x40B4E944, 0x5706B6FB */
+  7.84469031749551231769e+03, /* 0x40BEA4B0, 0xB8A5BB15 */
+  1.50404688810361062679e+03, /* 0x40978030, 0x036F5E51 */
+};
+
+#ifdef __STDC__
+static const double pr3[6] = {
+#else
+static double pr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+  3.02503916137373618024e-09, /* 0x3E29FC21, 0xA7AD9EDD */
+  1.17186865567253592491e-01, /* 0x3FBDFFF5, 0x5B21D17B */
+  3.93297750033315640650e+00, /* 0x400F76BC, 0xE85EAD8A */
+  3.51194035591636932736e+01, /* 0x40418F48, 0x9DA6D129 */
+  9.10550110750781271918e+01, /* 0x4056C385, 0x4D2C1837 */
+  4.85590685197364919645e+01, /* 0x4048478F, 0x8EA83EE5 */
+};
+#ifdef __STDC__
+static const double ps3[5] = {
+#else
+static double ps3[5] = {
+#endif
+  3.47913095001251519989e+01, /* 0x40416549, 0xA134069C */
+  3.36762458747825746741e+02, /* 0x40750C33, 0x07F1A75F */
+  1.04687139975775130551e+03, /* 0x40905B7C, 0x5037D523 */
+  8.90811346398256432622e+02, /* 0x408BD67D, 0xA32E31E9 */
+  1.03787932439639277504e+02, /* 0x4059F26D, 0x7C2EED53 */
+};
+
+#ifdef __STDC__
+static const double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+  1.07710830106873743082e-07, /* 0x3E7CE9D4, 0xF65544F4 */
+  1.17176219462683348094e-01, /* 0x3FBDFF42, 0xBE760D83 */
+  2.36851496667608785174e+00, /* 0x4002F2B7, 0xF98FAEC0 */
+  1.22426109148261232917e+01, /* 0x40287C37, 0x7F71A964 */
+  1.76939711271687727390e+01, /* 0x4031B1A8, 0x177F8EE2 */
+  5.07352312588818499250e+00, /* 0x40144B49, 0xA574C1FE */
+};
+#ifdef __STDC__
+static const double ps2[5] = {
+#else
+static double ps2[5] = {
+#endif
+  2.14364859363821409488e+01, /* 0x40356FBD, 0x8AD5ECDC */
+  1.25290227168402751090e+02, /* 0x405F5293, 0x14F92CD5 */
+  2.32276469057162813669e+02, /* 0x406D08D8, 0xD5A2DBD9 */
+  1.17679373287147100768e+02, /* 0x405D6B7A, 0xDA1884A9 */
+  8.36463893371618283368e+00, /* 0x4020BAB1, 0xF44E5192 */
+};
+
+#ifdef __STDC__
+	static double pone(double x)
+#else
+	static double pone(x)
+	double x;
+#endif
+{
+#ifdef __STDC__
+	const double *p,*q;
+#else
+	double *p,*q;
+#endif
+	double z,r,s;
+        int32_t ix;
+	GET_HIGH_WORD(ix,x);
+	ix &= 0x7fffffff;
+        if(ix>=0x40200000)     {p = pr8; q= ps8;}
+        else if(ix>=0x40122E8B){p = pr5; q= ps5;}
+        else if(ix>=0x4006DB6D){p = pr3; q= ps3;}
+        else if(ix>=0x40000000){p = pr2; q= ps2;}
+        z = one/(x*x);
+        r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+        s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+        return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qone is
+ *	3/8 s - 105/1024 s^3 - ..., where s = 1/x.
+ * We approximate pone by
+ * 	qone(x) = s*(0.375 + (R/S))
+ * where  R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
+ * 	  S = 1 + qs1*s^2 + ... + qs6*s^12
+ * and
+ *	| qone(x)/s -0.375-R/S | <= 2  ** ( -61.13)
+ */
+
+#ifdef __STDC__
+static const double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ -1.02539062499992714161e-01, /* 0xBFBA3FFF, 0xFFFFFDF3 */
+ -1.62717534544589987888e+01, /* 0xC0304591, 0xA26779F7 */
+ -7.59601722513950107896e+02, /* 0xC087BCD0, 0x53E4B576 */
+ -1.18498066702429587167e+04, /* 0xC0C724E7, 0x40F87415 */
+ -4.84385124285750353010e+04, /* 0xC0E7A6D0, 0x65D09C6A */
+};
+#ifdef __STDC__
+static const double qs8[6] = {
+#else
+static double qs8[6] = {
+#endif
+  1.61395369700722909556e+02, /* 0x40642CA6, 0xDE5BCDE5 */
+  7.82538599923348465381e+03, /* 0x40BE9162, 0xD0D88419 */
+  1.33875336287249578163e+05, /* 0x4100579A, 0xB0B75E98 */
+  7.19657723683240939863e+05, /* 0x4125F653, 0x72869C19 */
+  6.66601232617776375264e+05, /* 0x412457D2, 0x7719AD5C */
+ -2.94490264303834643215e+05, /* 0xC111F969, 0x0EA5AA18 */
+};
+
+#ifdef __STDC__
+static const double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -2.08979931141764104297e-11, /* 0xBDB6FA43, 0x1AA1A098 */
+ -1.02539050241375426231e-01, /* 0xBFBA3FFF, 0xCB597FEF */
+ -8.05644828123936029840e+00, /* 0xC0201CE6, 0xCA03AD4B */
+ -1.83669607474888380239e+02, /* 0xC066F56D, 0x6CA7B9B0 */
+ -1.37319376065508163265e+03, /* 0xC09574C6, 0x6931734F */
+ -2.61244440453215656817e+03, /* 0xC0A468E3, 0x88FDA79D */
+};
+#ifdef __STDC__
+static const double qs5[6] = {
+#else
+static double qs5[6] = {
+#endif
+  8.12765501384335777857e+01, /* 0x405451B2, 0xFF5A11B2 */
+  1.99179873460485964642e+03, /* 0x409F1F31, 0xE77BF839 */
+  1.74684851924908907677e+04, /* 0x40D10F1F, 0x0D64CE29 */
+  4.98514270910352279316e+04, /* 0x40E8576D, 0xAABAD197 */
+  2.79480751638918118260e+04, /* 0x40DB4B04, 0xCF7C364B */
+ -4.71918354795128470869e+03, /* 0xC0B26F2E, 0xFCFFA004 */
+};
+
+#ifdef __STDC__
+static const double qr3[6] = {
+#else
+static double qr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -5.07831226461766561369e-09, /* 0xBE35CFA9, 0xD38FC84F */
+ -1.02537829820837089745e-01, /* 0xBFBA3FEB, 0x51AEED54 */
+ -4.61011581139473403113e+00, /* 0xC01270C2, 0x3302D9FF */
+ -5.78472216562783643212e+01, /* 0xC04CEC71, 0xC25D16DA */
+ -2.28244540737631695038e+02, /* 0xC06C87D3, 0x4718D55F */
+ -2.19210128478909325622e+02, /* 0xC06B66B9, 0x5F5C1BF6 */
+};
+#ifdef __STDC__
+static const double qs3[6] = {
+#else
+static double qs3[6] = {
+#endif
+  4.76651550323729509273e+01, /* 0x4047D523, 0xCCD367E4 */
+  6.73865112676699709482e+02, /* 0x40850EEB, 0xC031EE3E */
+  3.38015286679526343505e+03, /* 0x40AA684E, 0x448E7C9A */
+  5.54772909720722782367e+03, /* 0x40B5ABBA, 0xA61D54A6 */
+  1.90311919338810798763e+03, /* 0x409DBC7A, 0x0DD4DF4B */
+ -1.35201191444307340817e+02, /* 0xC060E670, 0x290A311F */
+};
+
+#ifdef __STDC__
+static const double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -1.78381727510958865572e-07, /* 0xBE87F126, 0x44C626D2 */
+ -1.02517042607985553460e-01, /* 0xBFBA3E8E, 0x9148B010 */
+ -2.75220568278187460720e+00, /* 0xC0060484, 0x69BB4EDA */
+ -1.96636162643703720221e+01, /* 0xC033A9E2, 0xC168907F */
+ -4.23253133372830490089e+01, /* 0xC04529A3, 0xDE104AAA */
+ -2.13719211703704061733e+01, /* 0xC0355F36, 0x39CF6E52 */
+};
+#ifdef __STDC__
+static const double qs2[6] = {
+#else
+static double qs2[6] = {
+#endif
+  2.95333629060523854548e+01, /* 0x403D888A, 0x78AE64FF */
+  2.52981549982190529136e+02, /* 0x406F9F68, 0xDB821CBA */
+  7.57502834868645436472e+02, /* 0x4087AC05, 0xCE49A0F7 */
+  7.39393205320467245656e+02, /* 0x40871B25, 0x48D4C029 */
+  1.55949003336666123687e+02, /* 0x40637E5E, 0x3C3ED8D4 */
+ -4.95949898822628210127e+00, /* 0xC013D686, 0xE71BE86B */
+};
+
+#ifdef __STDC__
+	static double qone(double x)
+#else
+	static double qone(x)
+	double x;
+#endif
+{
+#ifdef __STDC__
+	const double *p,*q;
+#else
+	double *p,*q;
+#endif
+	double  s,r,z;
+	int32_t ix;
+	GET_HIGH_WORD(ix,x);
+	ix &= 0x7fffffff;
+	if(ix>=0x40200000)     {p = qr8; q= qs8;}
+	else if(ix>=0x40122E8B){p = qr5; q= qs5;}
+	else if(ix>=0x4006DB6D){p = qr3; q= qs3;}
+	else if(ix>=0x40000000){p = qr2; q= qs2;}
+	z = one/(x*x);
+	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+	return (.375 + r/s)/x;
+}
--- a/sysdeps/libm-ieee754/e_j1f.c
+++ b/sysdeps/libm-ieee754/e_j1f.c
@ -0,0 +1,444 @@
+/* e_j1f.c -- float version of e_j1.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_j1f.c,v 1.4 1995/05/10 20:45:31 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static float ponef(float), qonef(float);
+#else
+static float ponef(), qonef();
+#endif
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+huge    = 1e30,
+one	= 1.0,
+invsqrtpi=  5.6418961287e-01, /* 0x3f106ebb */
+tpi      =  6.3661974669e-01, /* 0x3f22f983 */
+	/* R0/S0 on [0,2] */
+r00  = -6.2500000000e-02, /* 0xbd800000 */
+r01  =  1.4070566976e-03, /* 0x3ab86cfd */
+r02  = -1.5995563444e-05, /* 0xb7862e36 */
+r03  =  4.9672799207e-08, /* 0x335557d2 */
+s01  =  1.9153760746e-02, /* 0x3c9ce859 */
+s02  =  1.8594678841e-04, /* 0x3942fab6 */
+s03  =  1.1771846857e-06, /* 0x359dffc2 */
+s04  =  5.0463624390e-09, /* 0x31ad6446 */
+s05  =  1.2354227016e-11; /* 0x2d59567e */
+
+#ifdef __STDC__
+static const float zero    = 0.0;
+#else
+static float zero    = 0.0;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_j1f(float x) 
+#else
+	float __ieee754_j1f(x) 
+	float x;
+#endif
+{
+	float z, s,c,ss,cc,r,u,v,y;
+	int32_t hx,ix;
+
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x7f800000) return one/x;
+	y = fabsf(x);
+	if(ix >= 0x40000000) {	/* |x| >= 2.0 */
+		s = __sinf(y);
+		c = __cosf(y);
+		ss = -s-c;
+		cc = s-c;
+		if(ix<0x7f000000) {  /* make sure y+y not overflow */
+		    z = __cosf(y+y);
+		    if ((s*c)>zero) cc = z/ss;
+		    else 	    ss = z/cc;
+		}
+	/*
+	 * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
+	 * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
+	 */
+		if(ix>0x80000000) z = (invsqrtpi*cc)/__sqrtf(y);
+		else {
+		    u = ponef(y); v = qonef(y);
+		    z = invsqrtpi*(u*cc-v*ss)/__sqrtf(y);
+		}
+		if(hx<0) return -z;
+		else  	 return  z;
+	}
+	if(ix<0x32000000) {	/* |x|<2**-27 */
+	    if(huge+x>one) return (float)0.5*x;/* inexact if x!=0 necessary */
+	}
+	z = x*x;
+	r =  z*(r00+z*(r01+z*(r02+z*r03)));
+	s =  one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+	r *= x;
+	return(x*(float)0.5+r/s);
+}
+
+#ifdef __STDC__
+static const float U0[5] = {
+#else
+static float U0[5] = {
+#endif
+ -1.9605709612e-01, /* 0xbe48c331 */
+  5.0443872809e-02, /* 0x3d4e9e3c */
+ -1.9125689287e-03, /* 0xbafaaf2a */
+  2.3525259166e-05, /* 0x37c5581c */
+ -9.1909917899e-08, /* 0xb3c56003 */
+};
+#ifdef __STDC__
+static const float V0[5] = {
+#else
+static float V0[5] = {
+#endif
+  1.9916731864e-02, /* 0x3ca3286a */
+  2.0255257550e-04, /* 0x3954644b */
+  1.3560879779e-06, /* 0x35b602d4 */
+  6.2274145840e-09, /* 0x31d5f8eb */
+  1.6655924903e-11, /* 0x2d9281cf */
+};
+
+#ifdef __STDC__
+	float __ieee754_y1f(float x) 
+#else
+	float __ieee754_y1f(x) 
+	float x;
+#endif
+{
+	float z, s,c,ss,cc,u,v;
+	int32_t hx,ix;
+
+	GET_FLOAT_WORD(hx,x);
+        ix = 0x7fffffff&hx;
+    /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
+	if(ix>=0x7f800000) return  one/(x+x*x); 
+        if(ix==0) return -one/zero;
+        if(hx<0) return zero/zero;
+        if(ix >= 0x40000000) {  /* |x| >= 2.0 */
+                s = __sinf(x);
+                c = __cosf(x);
+                ss = -s-c;
+                cc = s-c;
+                if(ix<0x7f000000) {  /* make sure x+x not overflow */
+                    z = __cosf(x+x);
+                    if ((s*c)>zero) cc = z/ss;
+                    else            ss = z/cc;
+                }
+        /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
+         * where x0 = x-3pi/4
+         *      Better formula:
+         *              cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+         *                      =  1/sqrt(2) * (sin(x) - cos(x))
+         *              sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+         *                      = -1/sqrt(2) * (cos(x) + sin(x))
+         * To avoid cancellation, use
+         *              sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+         * to compute the worse one.
+         */
+                if(ix>0x48000000) z = (invsqrtpi*ss)/__sqrtf(x);
+                else {
+                    u = ponef(x); v = qonef(x);
+                    z = invsqrtpi*(u*ss+v*cc)/__sqrtf(x);
+                }
+                return z;
+        } 
+        if(ix<=0x24800000) {    /* x < 2**-54 */
+            return(-tpi/x);
+        } 
+        z = x*x;
+        u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
+        v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+        return(x*(u/v) + tpi*(__ieee754_j1f(x)*__ieee754_logf(x)-one/x));
+}
+
+/* For x >= 8, the asymptotic expansions of pone is
+ *	1 + 15/128 s^2 - 4725/2^15 s^4 - ...,	where s = 1/x.
+ * We approximate pone by
+ * 	pone(x) = 1 + (R/S)
+ * where  R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
+ * 	  S = 1 + ps0*s^2 + ... + ps4*s^10
+ * and
+ *	| pone(x)-1-R/S | <= 2  ** ( -60.06)
+ */
+
+#ifdef __STDC__
+static const float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+  0.0000000000e+00, /* 0x00000000 */
+  1.1718750000e-01, /* 0x3df00000 */
+  1.3239480972e+01, /* 0x4153d4ea */
+  4.1205184937e+02, /* 0x43ce06a3 */
+  3.8747453613e+03, /* 0x45722bed */
+  7.9144794922e+03, /* 0x45f753d6 */
+};
+#ifdef __STDC__
+static const float ps8[5] = {
+#else
+static float ps8[5] = {
+#endif
+  1.1420736694e+02, /* 0x42e46a2c */
+  3.6509309082e+03, /* 0x45642ee5 */
+  3.6956207031e+04, /* 0x47105c35 */
+  9.7602796875e+04, /* 0x47bea166 */
+  3.0804271484e+04, /* 0x46f0a88b */
+};
+
+#ifdef __STDC__
+static const float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+  1.3199052094e-11, /* 0x2d68333f */
+  1.1718749255e-01, /* 0x3defffff */
+  6.8027510643e+00, /* 0x40d9b023 */
+  1.0830818176e+02, /* 0x42d89dca */
+  5.1763616943e+02, /* 0x440168b7 */
+  5.2871520996e+02, /* 0x44042dc6 */
+};
+#ifdef __STDC__
+static const float ps5[5] = {
+#else
+static float ps5[5] = {
+#endif
+  5.9280597687e+01, /* 0x426d1f55 */
+  9.9140142822e+02, /* 0x4477d9b1 */
+  5.3532670898e+03, /* 0x45a74a23 */
+  7.8446904297e+03, /* 0x45f52586 */
+  1.5040468750e+03, /* 0x44bc0180 */
+};
+
+#ifdef __STDC__
+static const float pr3[6] = {
+#else
+static float pr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+  3.0250391081e-09, /* 0x314fe10d */
+  1.1718686670e-01, /* 0x3defffab */
+  3.9329774380e+00, /* 0x407bb5e7 */
+  3.5119403839e+01, /* 0x420c7a45 */
+  9.1055007935e+01, /* 0x42b61c2a */
+  4.8559066772e+01, /* 0x42423c7c */
+};
+#ifdef __STDC__
+static const float ps3[5] = {
+#else
+static float ps3[5] = {
+#endif
+  3.4791309357e+01, /* 0x420b2a4d */
+  3.3676245117e+02, /* 0x43a86198 */
+  1.0468714600e+03, /* 0x4482dbe3 */
+  8.9081134033e+02, /* 0x445eb3ed */
+  1.0378793335e+02, /* 0x42cf936c */
+};
+
+#ifdef __STDC__
+static const float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+  1.0771083225e-07, /* 0x33e74ea8 */
+  1.1717621982e-01, /* 0x3deffa16 */
+  2.3685150146e+00, /* 0x401795c0 */
+  1.2242610931e+01, /* 0x4143e1bc */
+  1.7693971634e+01, /* 0x418d8d41 */
+  5.0735230446e+00, /* 0x40a25a4d */
+};
+#ifdef __STDC__
+static const float ps2[5] = {
+#else
+static float ps2[5] = {
+#endif
+  2.1436485291e+01, /* 0x41ab7dec */
+  1.2529022980e+02, /* 0x42fa9499 */
+  2.3227647400e+02, /* 0x436846c7 */
+  1.1767937469e+02, /* 0x42eb5bd7 */
+  8.3646392822e+00, /* 0x4105d590 */
+};
+
+#ifdef __STDC__
+	static float ponef(float x)
+#else
+	static float ponef(x)
+	float x;
+#endif
+{
+#ifdef __STDC__
+	const float *p,*q;
+#else
+	float *p,*q;
+#endif
+	float z,r,s;
+        int32_t ix;
+	GET_FLOAT_WORD(ix,x);
+	ix &= 0x7fffffff;
+        if(ix>=0x41000000)     {p = pr8; q= ps8;}
+        else if(ix>=0x40f71c58){p = pr5; q= ps5;}
+        else if(ix>=0x4036db68){p = pr3; q= ps3;}
+        else if(ix>=0x40000000){p = pr2; q= ps2;}
+        z = one/(x*x);
+        r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+        s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+        return one+ r/s;
+}
+		
+
+/* For x >= 8, the asymptotic expansions of qone is
+ *	3/8 s - 105/1024 s^3 - ..., where s = 1/x.
+ * We approximate pone by
+ * 	qone(x) = s*(0.375 + (R/S))
+ * where  R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
+ * 	  S = 1 + qs1*s^2 + ... + qs6*s^12
+ * and
+ *	| qone(x)/s -0.375-R/S | <= 2  ** ( -61.13)
+ */
+
+#ifdef __STDC__
+static const float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+  0.0000000000e+00, /* 0x00000000 */
+ -1.0253906250e-01, /* 0xbdd20000 */
+ -1.6271753311e+01, /* 0xc1822c8d */
+ -7.5960174561e+02, /* 0xc43de683 */
+ -1.1849806641e+04, /* 0xc639273a */
+ -4.8438511719e+04, /* 0xc73d3683 */
+};
+#ifdef __STDC__
+static const float qs8[6] = {
+#else
+static float qs8[6] = {
+#endif
+  1.6139537048e+02, /* 0x43216537 */
+  7.8253862305e+03, /* 0x45f48b17 */
+  1.3387534375e+05, /* 0x4802bcd6 */
+  7.1965775000e+05, /* 0x492fb29c */
+  6.6660125000e+05, /* 0x4922be94 */
+ -2.9449025000e+05, /* 0xc88fcb48 */
+};
+
+#ifdef __STDC__
+static const float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -2.0897993405e-11, /* 0xadb7d219 */
+ -1.0253904760e-01, /* 0xbdd1fffe */
+ -8.0564479828e+00, /* 0xc100e736 */
+ -1.8366960144e+02, /* 0xc337ab6b */
+ -1.3731937256e+03, /* 0xc4aba633 */
+ -2.6124443359e+03, /* 0xc523471c */
+};
+#ifdef __STDC__
+static const float qs5[6] = {
+#else
+static float qs5[6] = {
+#endif
+  8.1276550293e+01, /* 0x42a28d98 */
+  1.9917987061e+03, /* 0x44f8f98f */
+  1.7468484375e+04, /* 0x468878f8 */
+  4.9851425781e+04, /* 0x4742bb6d */
+  2.7948074219e+04, /* 0x46da5826 */
+ -4.7191835938e+03, /* 0xc5937978 */
+};
+
+#ifdef __STDC__
+static const float qr3[6] = {
+#else
+static float qr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -5.0783124372e-09, /* 0xb1ae7d4f */
+ -1.0253783315e-01, /* 0xbdd1ff5b */
+ -4.6101160049e+00, /* 0xc0938612 */
+ -5.7847221375e+01, /* 0xc267638e */
+ -2.2824453735e+02, /* 0xc3643e9a */
+ -2.1921012878e+02, /* 0xc35b35cb */
+};
+#ifdef __STDC__
+static const float qs3[6] = {
+#else
+static float qs3[6] = {
+#endif
+  4.7665153503e+01, /* 0x423ea91e */
+  6.7386511230e+02, /* 0x4428775e */
+  3.3801528320e+03, /* 0x45534272 */
+  5.5477290039e+03, /* 0x45ad5dd5 */
+  1.9031191406e+03, /* 0x44ede3d0 */
+ -1.3520118713e+02, /* 0xc3073381 */
+};
+
+#ifdef __STDC__
+static const float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -1.7838172539e-07, /* 0xb43f8932 */
+ -1.0251704603e-01, /* 0xbdd1f475 */
+ -2.7522056103e+00, /* 0xc0302423 */
+ -1.9663616180e+01, /* 0xc19d4f16 */
+ -4.2325313568e+01, /* 0xc2294d1f */
+ -2.1371921539e+01, /* 0xc1aaf9b2 */
+};
+#ifdef __STDC__
+static const float qs2[6] = {
+#else
+static float qs2[6] = {
+#endif
+  2.9533363342e+01, /* 0x41ec4454 */
+  2.5298155212e+02, /* 0x437cfb47 */
+  7.5750280762e+02, /* 0x443d602e */
+  7.3939318848e+02, /* 0x4438d92a */
+  1.5594900513e+02, /* 0x431bf2f2 */
+ -4.9594988823e+00, /* 0xc09eb437 */
+};
+
+#ifdef __STDC__
+	static float qonef(float x)
+#else
+	static float qonef(x)
+	float x;
+#endif
+{
+#ifdef __STDC__
+	const float *p,*q;
+#else
+	float *p,*q;
+#endif
+	float  s,r,z;
+	int32_t ix;
+	GET_FLOAT_WORD(ix,x);
+	ix &= 0x7fffffff;
+	if(ix>=0x40200000)     {p = qr8; q= qs8;}
+	else if(ix>=0x40f71c58){p = qr5; q= qs5;}
+	else if(ix>=0x4036db68){p = qr3; q= qs3;}
+	else if(ix>=0x40000000){p = qr2; q= qs2;}
+	z = one/(x*x);
+	r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+	s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+	return ((float).375 + r/s)/x;
+}
--- a/sysdeps/libm-ieee754/e_jn.c
+++ b/sysdeps/libm-ieee754/e_jn.c
@ -0,0 +1,281 @@
+/* @(#)e_jn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_jn.c,v 1.9 1995/05/10 20:45:34 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_jn(n, x), __ieee754_yn(n, x)
+ * floating point Bessel's function of the 1st and 2nd kind
+ * of order n
+ *          
+ * Special cases:
+ *	y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
+ *	y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
+ * Note 2. About jn(n,x), yn(n,x)
+ *	For n=0, j0(x) is called,
+ *	for n=1, j1(x) is called,
+ *	for n<x, forward recursion us used starting
+ *	from values of j0(x) and j1(x).
+ *	for n>x, a continued fraction approximation to
+ *	j(n,x)/j(n-1,x) is evaluated and then backward
+ *	recursion is used starting from a supposed value
+ *	for j(n,x). The resulting value of j(0,x) is
+ *	compared with the actual value to correct the
+ *	supposed value of j(n,x).
+ *
+ *	yn(n,x) is similar in all respects, except
+ *	that forward recursion is used for all
+ *	values of n>1.
+ *	
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+invsqrtpi=  5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+two   =  2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */
+one   =  1.00000000000000000000e+00; /* 0x3FF00000, 0x00000000 */
+
+#ifdef __STDC__
+static const double zero  =  0.00000000000000000000e+00;
+#else
+static double zero  =  0.00000000000000000000e+00;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_jn(int n, double x)
+#else
+	double __ieee754_jn(n,x)
+	int n; double x;
+#endif
+{
+	int32_t i,hx,ix,lx, sgn;
+	double a, b, temp, di;
+	double z, w;
+
+    /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
+     * Thus, J(-n,x) = J(n,-x)
+     */
+	EXTRACT_WORDS(hx,lx,x);
+	ix = 0x7fffffff&hx;
+    /* if J(n,NaN) is NaN */
+	if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x;
+	if(n<0){		
+		n = -n;
+		x = -x;
+		hx ^= 0x80000000;
+	}
+	if(n==0) return(__ieee754_j0(x));
+	if(n==1) return(__ieee754_j1(x));
+	sgn = (n&1)&(hx>>31);	/* even n -- 0, odd n -- sign(x) */
+	x = fabs(x);
+	if((ix|lx)==0||ix>=0x7ff00000) 	/* if x is 0 or inf */
+	    b = zero;
+	else if((double)n<=x) {   
+		/* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
+	    if(ix>=0x52D00000) { /* x > 2**302 */
+    /* (x >> n**2) 
+     *	    Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+     *	    Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+     *	    Let s=sin(x), c=cos(x), 
+     *		xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+     *
+     *		   n	sin(xn)*sqt2	cos(xn)*sqt2
+     *		----------------------------------
+     *		   0	 s-c		 c+s
+     *		   1	-s-c 		-c+s
+     *		   2	-s+c		-c-s
+     *		   3	 s+c		 c-s
+     */
+		switch(n&3) {
+		    case 0: temp =  __cos(x)+__sin(x); break;
+		    case 1: temp = -__cos(x)+__sin(x); break;
+		    case 2: temp = -__cos(x)-__sin(x); break;
+		    case 3: temp =  __cos(x)-__sin(x); break;
+		}
+		b = invsqrtpi*temp/__sqrt(x);
+	    } else {	
+	        a = __ieee754_j0(x);
+	        b = __ieee754_j1(x);
+	        for(i=1;i<n;i++){
+		    temp = b;
+		    b = b*((double)(i+i)/x) - a; /* avoid underflow */
+		    a = temp;
+	        }
+	    }
+	} else {
+	    if(ix<0x3e100000) {	/* x < 2**-29 */
+    /* x is tiny, return the first Taylor expansion of J(n,x) 
+     * J(n,x) = 1/n!*(x/2)^n  - ...
+     */
+		if(n>33)	/* underflow */
+		    b = zero;
+		else {
+		    temp = x*0.5; b = temp;
+		    for (a=one,i=2;i<=n;i++) {
+			a *= (double)i;		/* a = n! */
+			b *= temp;		/* b = (x/2)^n */
+		    }
+		    b = b/a;
+		}
+	    } else {
+		/* use backward recurrence */
+		/* 			x      x^2      x^2       
+		 *  J(n,x)/J(n-1,x) =  ----   ------   ------   .....
+		 *			2n  - 2(n+1) - 2(n+2)
+		 *
+		 * 			1      1        1       
+		 *  (for large x)   =  ----  ------   ------   .....
+		 *			2n   2(n+1)   2(n+2)
+		 *			-- - ------ - ------ - 
+		 *			 x     x         x
+		 *
+		 * Let w = 2n/x and h=2/x, then the above quotient
+		 * is equal to the continued fraction:
+		 *		    1
+		 *	= -----------------------
+		 *		       1
+		 *	   w - -----------------
+		 *			  1
+		 * 	        w+h - ---------
+		 *		       w+2h - ...
+		 *
+		 * To determine how many terms needed, let
+		 * Q(0) = w, Q(1) = w(w+h) - 1,
+		 * Q(k) = (w+k*h)*Q(k-1) - Q(k-2),
+		 * When Q(k) > 1e4	good for single 
+		 * When Q(k) > 1e9	good for double 
+		 * When Q(k) > 1e17	good for quadruple 
+		 */
+	    /* determine k */
+		double t,v;
+		double q0,q1,h,tmp; int32_t k,m;
+		w  = (n+n)/(double)x; h = 2.0/(double)x;
+		q0 = w;  z = w+h; q1 = w*z - 1.0; k=1;
+		while(q1<1.0e9) {
+			k += 1; z += h;
+			tmp = z*q1 - q0;
+			q0 = q1;
+			q1 = tmp;
+		}
+		m = n+n;
+		for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t);
+		a = t;
+		b = one;
+		/*  estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
+		 *  Hence, if n*(log(2n/x)) > ...
+		 *  single 8.8722839355e+01
+		 *  double 7.09782712893383973096e+02
+		 *  long double 1.1356523406294143949491931077970765006170e+04
+		 *  then recurrent value may overflow and the result is 
+		 *  likely underflow to zero
+		 */
+		tmp = n;
+		v = two/x;
+		tmp = tmp*__ieee754_log(fabs(v*tmp));
+		if(tmp<7.09782712893383973096e+02) {
+	    	    for(i=n-1,di=(double)(i+i);i>0;i--){
+		        temp = b;
+			b *= di;
+			b  = b/x - a;
+		        a = temp;
+			di -= two;
+	     	    }
+		} else {
+	    	    for(i=n-1,di=(double)(i+i);i>0;i--){
+		        temp = b;
+			b *= di;
+			b  = b/x - a;
+		        a = temp;
+			di -= two;
+		    /* scale b to avoid spurious overflow */
+			if(b>1e100) {
+			    a /= b;
+			    t /= b;
+			    b  = one;
+			}
+	     	    }
+		}
+	    	b = (t*__ieee754_j0(x)/b);
+	    }
+	}
+	if(sgn==1) return -b; else return b;
+}
+
+#ifdef __STDC__
+	double __ieee754_yn(int n, double x) 
+#else
+	double __ieee754_yn(n,x) 
+	int n; double x;
+#endif
+{
+	int32_t i,hx,ix,lx;
+	int32_t sign;
+	double a, b, temp;
+
+	EXTRACT_WORDS(hx,lx,x);
+	ix = 0x7fffffff&hx;
+    /* if Y(n,NaN) is NaN */
+	if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x;
+	if((ix|lx)==0) return -one/zero;
+	if(hx<0) return zero/zero;
+	sign = 1;
+	if(n<0){
+		n = -n;
+		sign = 1 - ((n&1)<<1);
+	}
+	if(n==0) return(__ieee754_y0(x));
+	if(n==1) return(sign*__ieee754_y1(x));
+	if(ix==0x7ff00000) return zero;
+	if(ix>=0x52D00000) { /* x > 2**302 */
+    /* (x >> n**2) 
+     *	    Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+     *	    Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+     *	    Let s=sin(x), c=cos(x), 
+     *		xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+     *
+     *		   n	sin(xn)*sqt2	cos(xn)*sqt2
+     *		----------------------------------
+     *		   0	 s-c		 c+s
+     *		   1	-s-c 		-c+s
+     *		   2	-s+c		-c-s
+     *		   3	 s+c		 c-s
+     */
+		switch(n&3) {
+		    case 0: temp =  __sin(x)-__cos(x); break;
+		    case 1: temp = -__sin(x)-__cos(x); break;
+		    case 2: temp = -__sin(x)+__cos(x); break;
+		    case 3: temp =  __sin(x)+__cos(x); break;
+		}
+		b = invsqrtpi*temp/__sqrt(x);
+	} else {
+	    u_int32_t high;
+	    a = __ieee754_y0(x);
+	    b = __ieee754_y1(x);
+	/* quit if b is -inf */
+	    GET_HIGH_WORD(high,b);
+	    for(i=1;i<n&&high!=0xfff00000;i++){ 
+		temp = b;
+		b = ((double)(i+i)/x)*b - a;
+		GET_HIGH_WORD(high,b);
+		a = temp;
+	    }
+	}
+	if(sign>0) return b; else return -b;
+}
--- a/sysdeps/libm-ieee754/e_jnf.c
+++ b/sysdeps/libm-ieee754/e_jnf.c
@ -0,0 +1,212 @@
+/* e_jnf.c -- float version of e_jn.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_jnf.c,v 1.5 1995/05/10 20:45:37 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+invsqrtpi=  5.6418961287e-01, /* 0x3f106ebb */
+two   =  2.0000000000e+00, /* 0x40000000 */
+one   =  1.0000000000e+00; /* 0x3F800000 */
+
+#ifdef __STDC__
+static const float zero  =  0.0000000000e+00;
+#else
+static float zero  =  0.0000000000e+00;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_jnf(int n, float x)
+#else
+	float __ieee754_jnf(n,x)
+	int n; float x;
+#endif
+{
+	int32_t i,hx,ix, sgn;
+	float a, b, temp, di;
+	float z, w;
+
+    /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
+     * Thus, J(-n,x) = J(n,-x)
+     */
+	GET_FLOAT_WORD(hx,x);
+	ix = 0x7fffffff&hx;
+    /* if J(n,NaN) is NaN */
+	if(ix>0x7f800000) return x+x;
+	if(n<0){		
+		n = -n;
+		x = -x;
+		hx ^= 0x80000000;
+	}
+	if(n==0) return(__ieee754_j0f(x));
+	if(n==1) return(__ieee754_j1f(x));
+	sgn = (n&1)&(hx>>31);	/* even n -- 0, odd n -- sign(x) */
+	x = fabsf(x);
+	if(ix==0||ix>=0x7f800000) 	/* if x is 0 or inf */
+	    b = zero;
+	else if((float)n<=x) {   
+		/* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
+	    a = __ieee754_j0f(x);
+	    b = __ieee754_j1f(x);
+	    for(i=1;i<n;i++){
+		temp = b;
+		b = b*((float)(i+i)/x) - a; /* avoid underflow */
+		a = temp;
+	    }
+	} else {
+	    if(ix<0x30800000) {	/* x < 2**-29 */
+    /* x is tiny, return the first Taylor expansion of J(n,x) 
+     * J(n,x) = 1/n!*(x/2)^n  - ...
+     */
+		if(n>33)	/* underflow */
+		    b = zero;
+		else {
+		    temp = x*(float)0.5; b = temp;
+		    for (a=one,i=2;i<=n;i++) {
+			a *= (float)i;		/* a = n! */
+			b *= temp;		/* b = (x/2)^n */
+		    }
+		    b = b/a;
+		}
+	    } else {
+		/* use backward recurrence */
+		/* 			x      x^2      x^2       
+		 *  J(n,x)/J(n-1,x) =  ----   ------   ------   .....
+		 *			2n  - 2(n+1) - 2(n+2)
+		 *
+		 * 			1      1        1       
+		 *  (for large x)   =  ----  ------   ------   .....
+		 *			2n   2(n+1)   2(n+2)
+		 *			-- - ------ - ------ - 
+		 *			 x     x         x
+		 *
+		 * Let w = 2n/x and h=2/x, then the above quotient
+		 * is equal to the continued fraction:
+		 *		    1
+		 *	= -----------------------
+		 *		       1
+		 *	   w - -----------------
+		 *			  1
+		 * 	        w+h - ---------
+		 *		       w+2h - ...
+		 *
+		 * To determine how many terms needed, let
+		 * Q(0) = w, Q(1) = w(w+h) - 1,
+		 * Q(k) = (w+k*h)*Q(k-1) - Q(k-2),
+		 * When Q(k) > 1e4	good for single 
+		 * When Q(k) > 1e9	good for double 
+		 * When Q(k) > 1e17	good for quadruple 
+		 */
+	    /* determine k */
+		float t,v;
+		float q0,q1,h,tmp; int32_t k,m;
+		w  = (n+n)/(float)x; h = (float)2.0/(float)x;
+		q0 = w;  z = w+h; q1 = w*z - (float)1.0; k=1;
+		while(q1<(float)1.0e9) {
+			k += 1; z += h;
+			tmp = z*q1 - q0;
+			q0 = q1;
+			q1 = tmp;
+		}
+		m = n+n;
+		for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t);
+		a = t;
+		b = one;
+		/*  estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
+		 *  Hence, if n*(log(2n/x)) > ...
+		 *  single 8.8722839355e+01
+		 *  double 7.09782712893383973096e+02
+		 *  long double 1.1356523406294143949491931077970765006170e+04
+		 *  then recurrent value may overflow and the result is 
+		 *  likely underflow to zero
+		 */
+		tmp = n;
+		v = two/x;
+		tmp = tmp*__ieee754_logf(fabsf(v*tmp));
+		if(tmp<(float)8.8721679688e+01) {
+	    	    for(i=n-1,di=(float)(i+i);i>0;i--){
+		        temp = b;
+			b *= di;
+			b  = b/x - a;
+		        a = temp;
+			di -= two;
+	     	    }
+		} else {
+	    	    for(i=n-1,di=(float)(i+i);i>0;i--){
+		        temp = b;
+			b *= di;
+			b  = b/x - a;
+		        a = temp;
+			di -= two;
+		    /* scale b to avoid spurious overflow */
+			if(b>(float)1e10) {
+			    a /= b;
+			    t /= b;
+			    b  = one;
+			}
+	     	    }
+		}
+	    	b = (t*__ieee754_j0f(x)/b);
+	    }
+	}
+	if(sgn==1) return -b; else return b;
+}
+
+#ifdef __STDC__
+	float __ieee754_ynf(int n, float x) 
+#else
+	float __ieee754_ynf(n,x) 
+	int n; float x;
+#endif
+{
+	int32_t i,hx,ix,ib;
+	int32_t sign;
+	float a, b, temp;
+
+	GET_FLOAT_WORD(hx,x);
+	ix = 0x7fffffff&hx;
+    /* if Y(n,NaN) is NaN */
+	if(ix>0x7f800000) return x+x;
+	if(ix==0) return -one/zero;
+	if(hx<0) return zero/zero;
+	sign = 1;
+	if(n<0){
+		n = -n;
+		sign = 1 - ((n&1)<<1);
+	}
+	if(n==0) return(__ieee754_y0f(x));
+	if(n==1) return(sign*__ieee754_y1f(x));
+	if(ix==0x7f800000) return zero;
+
+	a = __ieee754_y0f(x);
+	b = __ieee754_y1f(x);
+	/* quit if b is -inf */
+	GET_FLOAT_WORD(ib,b);
+	for(i=1;i<n&&ib!=0xff800000;i++){ 
+	    temp = b;
+	    b = ((float)(i+i)/x)*b - a;
+	    GET_FLOAT_WORD(ib,b);
+	    a = temp;
+	}
+	if(sign>0) return b; else return -b;
+}
--- a/sysdeps/libm-ieee754/e_lgamma_r.c
+++ b/sysdeps/libm-ieee754/e_lgamma_r.c
@ -0,0 +1,312 @@
+/* @(#)er_lgamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_lgamma_r.c,v 1.7 1995/05/10 20:45:42 jtc Exp $";
+#endif
+
+/* __ieee754_lgamma_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function 
+ * with user provide pointer for the sign of Gamma(x). 
+ *
+ * Method:
+ *   1. Argument Reduction for 0 < x <= 8
+ * 	Since gamma(1+s)=s*gamma(s), for x in [0,8], we may 
+ * 	reduce x to a number in [1.5,2.5] by
+ * 		lgamma(1+s) = log(s) + lgamma(s)
+ *	for example,
+ *		lgamma(7.3) = log(6.3) + lgamma(6.3)
+ *			    = log(6.3*5.3) + lgamma(5.3)
+ *			    = log(6.3*5.3*4.3*3.3*2.3) + lgamma(2.3)
+ *   2. Polynomial approximation of lgamma around its
+ *	minimun ymin=1.461632144968362245 to maintain monotonicity.
+ *	On [ymin-0.23, ymin+0.27] (i.e., [1.23164,1.73163]), use
+ *		Let z = x-ymin;
+ *		lgamma(x) = -1.214862905358496078218 + z^2*poly(z)
+ *	where
+ *		poly(z) is a 14 degree polynomial.
+ *   2. Rational approximation in the primary interval [2,3]
+ *	We use the following approximation:
+ *		s = x-2.0;
+ *		lgamma(x) = 0.5*s + s*P(s)/Q(s)
+ *	with accuracy
+ *		|P/Q - (lgamma(x)-0.5s)| < 2**-61.71
+ *	Our algorithms are based on the following observation
+ *
+ *                             zeta(2)-1    2    zeta(3)-1    3
+ * lgamma(2+s) = s*(1-Euler) + --------- * s  -  --------- * s  + ...
+ *                                 2                 3
+ *
+ *	where Euler = 0.5771... is the Euler constant, which is very
+ *	close to 0.5.
+ *
+ *   3. For x>=8, we have
+ *	lgamma(x)~(x-0.5)log(x)-x+0.5*log(2pi)+1/(12x)-1/(360x**3)+....
+ *	(better formula:
+ *	   lgamma(x)~(x-0.5)*(log(x)-1)-.5*(log(2pi)-1) + ...)
+ *	Let z = 1/x, then we approximation
+ *		f(z) = lgamma(x) - (x-0.5)(log(x)-1)
+ *	by
+ *	  			    3       5             11
+ *		w = w0 + w1*z + w2*z  + w3*z  + ... + w6*z
+ *	where 
+ *		|w - f(z)| < 2**-58.74
+ *		
+ *   4. For negative x, since (G is gamma function)
+ *		-x*G(-x)*G(x) = pi/sin(pi*x),
+ * 	we have
+ * 		G(x) = pi/(sin(pi*x)*(-x)*G(-x))
+ *	since G(-x) is positive, sign(G(x)) = sign(sin(pi*x)) for x<0
+ *	Hence, for x<0, signgam = sign(sin(pi*x)) and 
+ *		lgamma(x) = log(|Gamma(x)|)
+ *			  = log(pi/(|x*sin(pi*x)|)) - lgamma(-x);
+ *	Note: one should avoid compute pi*(-x) directly in the 
+ *	      computation of sin(pi*(-x)).
+ *		
+ *   5. Special Cases
+ *		lgamma(2+s) ~ s*(1-Euler) for tiny s
+ *		lgamma(1)=lgamma(2)=0
+ *		lgamma(x) ~ -log(x) for tiny x
+ *		lgamma(0) = lgamma(inf) = inf
+ *	 	lgamma(-integer) = +-inf
+ *	
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double 
+#else
+static double 
+#endif
+two52=  4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+half=  5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi  =  3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+a0  =  7.72156649015328655494e-02, /* 0x3FB3C467, 0xE37DB0C8 */
+a1  =  3.22467033424113591611e-01, /* 0x3FD4A34C, 0xC4A60FAD */
+a2  =  6.73523010531292681824e-02, /* 0x3FB13E00, 0x1A5562A7 */
+a3  =  2.05808084325167332806e-02, /* 0x3F951322, 0xAC92547B */
+a4  =  7.38555086081402883957e-03, /* 0x3F7E404F, 0xB68FEFE8 */
+a5  =  2.89051383673415629091e-03, /* 0x3F67ADD8, 0xCCB7926B */
+a6  =  1.19270763183362067845e-03, /* 0x3F538A94, 0x116F3F5D */
+a7  =  5.10069792153511336608e-04, /* 0x3F40B6C6, 0x89B99C00 */
+a8  =  2.20862790713908385557e-04, /* 0x3F2CF2EC, 0xED10E54D */
+a9  =  1.08011567247583939954e-04, /* 0x3F1C5088, 0x987DFB07 */
+a10 =  2.52144565451257326939e-05, /* 0x3EFA7074, 0x428CFA52 */
+a11 =  4.48640949618915160150e-05, /* 0x3F07858E, 0x90A45837 */
+tc  =  1.46163214496836224576e+00, /* 0x3FF762D8, 0x6356BE3F */
+tf  = -1.21486290535849611461e-01, /* 0xBFBF19B9, 0xBCC38A42 */
+/* tt = -(tail of tf) */
+tt  = -3.63867699703950536541e-18, /* 0xBC50C7CA, 0xA48A971F */
+t0  =  4.83836122723810047042e-01, /* 0x3FDEF72B, 0xC8EE38A2 */
+t1  = -1.47587722994593911752e-01, /* 0xBFC2E427, 0x8DC6C509 */
+t2  =  6.46249402391333854778e-02, /* 0x3FB08B42, 0x94D5419B */
+t3  = -3.27885410759859649565e-02, /* 0xBFA0C9A8, 0xDF35B713 */
+t4  =  1.79706750811820387126e-02, /* 0x3F9266E7, 0x970AF9EC */
+t5  = -1.03142241298341437450e-02, /* 0xBF851F9F, 0xBA91EC6A */
+t6  =  6.10053870246291332635e-03, /* 0x3F78FCE0, 0xE370E344 */
+t7  = -3.68452016781138256760e-03, /* 0xBF6E2EFF, 0xB3E914D7 */
+t8  =  2.25964780900612472250e-03, /* 0x3F6282D3, 0x2E15C915 */
+t9  = -1.40346469989232843813e-03, /* 0xBF56FE8E, 0xBF2D1AF1 */
+t10 =  8.81081882437654011382e-04, /* 0x3F4CDF0C, 0xEF61A8E9 */
+t11 = -5.38595305356740546715e-04, /* 0xBF41A610, 0x9C73E0EC */
+t12 =  3.15632070903625950361e-04, /* 0x3F34AF6D, 0x6C0EBBF7 */
+t13 = -3.12754168375120860518e-04, /* 0xBF347F24, 0xECC38C38 */
+t14 =  3.35529192635519073543e-04, /* 0x3F35FD3E, 0xE8C2D3F4 */
+u0  = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+u1  =  6.32827064025093366517e-01, /* 0x3FE4401E, 0x8B005DFF */
+u2  =  1.45492250137234768737e+00, /* 0x3FF7475C, 0xD119BD6F */
+u3  =  9.77717527963372745603e-01, /* 0x3FEF4976, 0x44EA8450 */
+u4  =  2.28963728064692451092e-01, /* 0x3FCD4EAE, 0xF6010924 */
+u5  =  1.33810918536787660377e-02, /* 0x3F8B678B, 0xBF2BAB09 */
+v1  =  2.45597793713041134822e+00, /* 0x4003A5D7, 0xC2BD619C */
+v2  =  2.12848976379893395361e+00, /* 0x40010725, 0xA42B18F5 */
+v3  =  7.69285150456672783825e-01, /* 0x3FE89DFB, 0xE45050AF */
+v4  =  1.04222645593369134254e-01, /* 0x3FBAAE55, 0xD6537C88 */
+v5  =  3.21709242282423911810e-03, /* 0x3F6A5ABB, 0x57D0CF61 */
+s0  = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+s1  =  2.14982415960608852501e-01, /* 0x3FCB848B, 0x36E20878 */
+s2  =  3.25778796408930981787e-01, /* 0x3FD4D98F, 0x4F139F59 */
+s3  =  1.46350472652464452805e-01, /* 0x3FC2BB9C, 0xBEE5F2F7 */
+s4  =  2.66422703033638609560e-02, /* 0x3F9B481C, 0x7E939961 */
+s5  =  1.84028451407337715652e-03, /* 0x3F5E26B6, 0x7368F239 */
+s6  =  3.19475326584100867617e-05, /* 0x3F00BFEC, 0xDD17E945 */
+r1  =  1.39200533467621045958e+00, /* 0x3FF645A7, 0x62C4AB74 */
+r2  =  7.21935547567138069525e-01, /* 0x3FE71A18, 0x93D3DCDC */
+r3  =  1.71933865632803078993e-01, /* 0x3FC601ED, 0xCCFBDF27 */
+r4  =  1.86459191715652901344e-02, /* 0x3F9317EA, 0x742ED475 */
+r5  =  7.77942496381893596434e-04, /* 0x3F497DDA, 0xCA41A95B */
+r6  =  7.32668430744625636189e-06, /* 0x3EDEBAF7, 0xA5B38140 */
+w0  =  4.18938533204672725052e-01, /* 0x3FDACFE3, 0x90C97D69 */
+w1  =  8.33333333333329678849e-02, /* 0x3FB55555, 0x5555553B */
+w2  = -2.77777777728775536470e-03, /* 0xBF66C16C, 0x16B02E5C */
+w3  =  7.93650558643019558500e-04, /* 0x3F4A019F, 0x98CF38B6 */
+w4  = -5.95187557450339963135e-04, /* 0xBF4380CB, 0x8C0FE741 */
+w5  =  8.36339918996282139126e-04, /* 0x3F4B67BA, 0x4CDAD5D1 */
+w6  = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */
+
+#ifdef __STDC__
+static const double zero=  0.00000000000000000000e+00;
+#else
+static double zero=  0.00000000000000000000e+00;
+#endif
+
+#ifdef __STDC__
+	static double sin_pi(double x)
+#else
+	static double sin_pi(x)
+	double x;
+#endif
+{
+	double y,z;
+	int n,ix;
+
+	GET_HIGH_WORD(ix,x);
+	ix &= 0x7fffffff;
+
+	if(ix<0x3fd00000) return __kernel_sin(pi*x,zero,0);
+	y = -x;		/* x is assume negative */
+
+    /*
+     * argument reduction, make sure inexact flag not raised if input
+     * is an integer
+     */
+	z = __floor(y);
+	if(z!=y) {				/* inexact anyway */
+	    y  *= 0.5;
+	    y   = 2.0*(y - __floor(y));		/* y = |x| mod 2.0 */
+	    n   = (int) (y*4.0);
+	} else {
+            if(ix>=0x43400000) {
+                y = zero; n = 0;                 /* y must be even */
+            } else {
+                if(ix<0x43300000) z = y+two52;	/* exact */
+		GET_LOW_WORD(n,z);
+		n &= 1;
+                y  = n;
+                n<<= 2;
+            }
+        }
+	switch (n) {
+	    case 0:   y =  __kernel_sin(pi*y,zero,0); break;
+	    case 1:   
+	    case 2:   y =  __kernel_cos(pi*(0.5-y),zero); break;
+	    case 3:  
+	    case 4:   y =  __kernel_sin(pi*(one-y),zero,0); break;
+	    case 5:
+	    case 6:   y = -__kernel_cos(pi*(y-1.5),zero); break;
+	    default:  y =  __kernel_sin(pi*(y-2.0),zero,0); break;
+	    }
+	return -y;
+}
+
+
+#ifdef __STDC__
+	double __ieee754_lgamma_r(double x, int *signgamp)
+#else
+	double __ieee754_lgamma_r(x,signgamp)
+	double x; int *signgamp;
+#endif
+{
+	double t,y,z,nadj,p,p1,p2,p3,q,r,w;
+	int i,hx,lx,ix;
+
+	EXTRACT_WORDS(hx,lx,x);
+
+    /* purge off +-inf, NaN, +-0, and negative arguments */
+	*signgamp = 1;
+	ix = hx&0x7fffffff;
+	if(ix>=0x7ff00000) return x*x;
+	if((ix|lx)==0) return one/zero;
+	if(ix<0x3b900000) {	/* |x|<2**-70, return -log(|x|) */
+	    if(hx<0) {
+	        *signgamp = -1;
+	        return -__ieee754_log(-x);
+	    } else return -__ieee754_log(x);
+	}
+	if(hx<0) {
+	    if(ix>=0x43300000) 	/* |x|>=2**52, must be -integer */
+		return one/zero;
+	    t = sin_pi(x);
+	    if(t==zero) return one/zero; /* -integer */
+	    nadj = __ieee754_log(pi/fabs(t*x));
+	    if(t<zero) *signgamp = -1;
+	    x = -x;
+	}
+
+    /* purge off 1 and 2 */
+	if((((ix-0x3ff00000)|lx)==0)||(((ix-0x40000000)|lx)==0)) r = 0;
+    /* for x < 2.0 */
+	else if(ix<0x40000000) {
+	    if(ix<=0x3feccccc) { 	/* lgamma(x) = lgamma(x+1)-log(x) */
+		r = -__ieee754_log(x);
+		if(ix>=0x3FE76944) {y = one-x; i= 0;}
+		else if(ix>=0x3FCDA661) {y= x-(tc-one); i=1;}
+	  	else {y = x; i=2;}
+	    } else {
+	  	r = zero;
+	        if(ix>=0x3FFBB4C3) {y=2.0-x;i=0;} /* [1.7316,2] */
+	        else if(ix>=0x3FF3B4C4) {y=x-tc;i=1;} /* [1.23,1.73] */
+		else {y=x-one;i=2;}
+	    }
+	    switch(i) {
+	      case 0:
+		z = y*y;
+		p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
+		p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+		p  = y*p1+p2;
+		r  += (p-0.5*y); break;
+	      case 1:
+		z = y*y;
+		w = z*y;
+		p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12)));	/* parallel comp */
+		p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
+		p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
+		p  = z*p1-(tt-w*(p2+y*p3));
+		r += (tf + p); break;
+	      case 2:	
+		p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
+		p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+		r += (-0.5*y + p1/p2);
+	    }
+	}
+	else if(ix<0x40200000) { 			/* x < 8.0 */
+	    i = (int)x;
+	    t = zero;
+	    y = x-(double)i;
+	    p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
+	    q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+	    r = half*y+p/q;
+	    z = one;	/* lgamma(1+s) = log(s) + lgamma(s) */
+	    switch(i) {
+	    case 7: z *= (y+6.0);	/* FALLTHRU */
+	    case 6: z *= (y+5.0);	/* FALLTHRU */
+	    case 5: z *= (y+4.0);	/* FALLTHRU */
+	    case 4: z *= (y+3.0);	/* FALLTHRU */
+	    case 3: z *= (y+2.0);	/* FALLTHRU */
+		    r += __ieee754_log(z); break;
+	    }
+    /* 8.0 <= x < 2**58 */
+	} else if (ix < 0x43900000) {
+	    t = __ieee754_log(x);
+	    z = one/x;
+	    y = z*z;
+	    w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+	    r = (x-half)*(t-one)+w;
+	} else 
+    /* 2**58 <= x <= inf */
+	    r =  x*(__ieee754_log(x)-one);
+	if(hx<0) r = nadj - r;
+	return r;
+}
--- a/sysdeps/libm-ieee754/e_lgammaf_r.c
+++ b/sysdeps/libm-ieee754/e_lgammaf_r.c
@ -0,0 +1,248 @@
+/* e_lgammaf_r.c -- float version of e_lgamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_lgammaf_r.c,v 1.3 1995/05/10 20:45:47 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+two23=  8.3886080000e+06, /* 0x4b000000 */
+half=  5.0000000000e-01, /* 0x3f000000 */
+one =  1.0000000000e+00, /* 0x3f800000 */
+pi  =  3.1415927410e+00, /* 0x40490fdb */
+a0  =  7.7215664089e-02, /* 0x3d9e233f */
+a1  =  3.2246702909e-01, /* 0x3ea51a66 */
+a2  =  6.7352302372e-02, /* 0x3d89f001 */
+a3  =  2.0580807701e-02, /* 0x3ca89915 */
+a4  =  7.3855509982e-03, /* 0x3bf2027e */
+a5  =  2.8905137442e-03, /* 0x3b3d6ec6 */
+a6  =  1.1927076848e-03, /* 0x3a9c54a1 */
+a7  =  5.1006977446e-04, /* 0x3a05b634 */
+a8  =  2.2086278477e-04, /* 0x39679767 */
+a9  =  1.0801156895e-04, /* 0x38e28445 */
+a10 =  2.5214456400e-05, /* 0x37d383a2 */
+a11 =  4.4864096708e-05, /* 0x383c2c75 */
+tc  =  1.4616321325e+00, /* 0x3fbb16c3 */
+tf  = -1.2148628384e-01, /* 0xbdf8cdcd */
+/* tt = -(tail of tf) */
+tt  =  6.6971006518e-09, /* 0x31e61c52 */
+t0  =  4.8383611441e-01, /* 0x3ef7b95e */
+t1  = -1.4758771658e-01, /* 0xbe17213c */
+t2  =  6.4624942839e-02, /* 0x3d845a15 */
+t3  = -3.2788541168e-02, /* 0xbd064d47 */
+t4  =  1.7970675603e-02, /* 0x3c93373d */
+t5  = -1.0314224288e-02, /* 0xbc28fcfe */
+t6  =  6.1005386524e-03, /* 0x3bc7e707 */
+t7  = -3.6845202558e-03, /* 0xbb7177fe */
+t8  =  2.2596477065e-03, /* 0x3b141699 */
+t9  = -1.4034647029e-03, /* 0xbab7f476 */
+t10 =  8.8108185446e-04, /* 0x3a66f867 */
+t11 = -5.3859531181e-04, /* 0xba0d3085 */
+t12 =  3.1563205994e-04, /* 0x39a57b6b */
+t13 = -3.1275415677e-04, /* 0xb9a3f927 */
+t14 =  3.3552918467e-04, /* 0x39afe9f7 */
+u0  = -7.7215664089e-02, /* 0xbd9e233f */
+u1  =  6.3282704353e-01, /* 0x3f2200f4 */
+u2  =  1.4549225569e+00, /* 0x3fba3ae7 */
+u3  =  9.7771751881e-01, /* 0x3f7a4bb2 */
+u4  =  2.2896373272e-01, /* 0x3e6a7578 */
+u5  =  1.3381091878e-02, /* 0x3c5b3c5e */
+v1  =  2.4559779167e+00, /* 0x401d2ebe */
+v2  =  2.1284897327e+00, /* 0x4008392d */
+v3  =  7.6928514242e-01, /* 0x3f44efdf */
+v4  =  1.0422264785e-01, /* 0x3dd572af */
+v5  =  3.2170924824e-03, /* 0x3b52d5db */
+s0  = -7.7215664089e-02, /* 0xbd9e233f */
+s1  =  2.1498242021e-01, /* 0x3e5c245a */
+s2  =  3.2577878237e-01, /* 0x3ea6cc7a */
+s3  =  1.4635047317e-01, /* 0x3e15dce6 */
+s4  =  2.6642270386e-02, /* 0x3cda40e4 */
+s5  =  1.8402845599e-03, /* 0x3af135b4 */
+s6  =  3.1947532989e-05, /* 0x3805ff67 */
+r1  =  1.3920053244e+00, /* 0x3fb22d3b */
+r2  =  7.2193557024e-01, /* 0x3f38d0c5 */
+r3  =  1.7193385959e-01, /* 0x3e300f6e */
+r4  =  1.8645919859e-02, /* 0x3c98bf54 */
+r5  =  7.7794247773e-04, /* 0x3a4beed6 */
+r6  =  7.3266842264e-06, /* 0x36f5d7bd */
+w0  =  4.1893854737e-01, /* 0x3ed67f1d */
+w1  =  8.3333335817e-02, /* 0x3daaaaab */
+w2  = -2.7777778450e-03, /* 0xbb360b61 */
+w3  =  7.9365057172e-04, /* 0x3a500cfd */
+w4  = -5.9518753551e-04, /* 0xba1c065c */
+w5  =  8.3633989561e-04, /* 0x3a5b3dd2 */
+w6  = -1.6309292987e-03; /* 0xbad5c4e8 */
+
+#ifdef __STDC__
+static const float zero=  0.0000000000e+00;
+#else
+static float zero=  0.0000000000e+00;
+#endif
+
+#ifdef __STDC__
+	static float sin_pif(float x)
+#else
+	static float sin_pif(x)
+	float x;
+#endif
+{
+	float y,z;
+	int n,ix;
+
+	GET_FLOAT_WORD(ix,x);
+	ix &= 0x7fffffff;
+
+	if(ix<0x3e800000) return __kernel_sinf(pi*x,zero,0);
+	y = -x;		/* x is assume negative */
+
+    /*
+     * argument reduction, make sure inexact flag not raised if input
+     * is an integer
+     */
+	z = __floorf(y);
+	if(z!=y) {				/* inexact anyway */
+	    y  *= (float)0.5;
+	    y   = (float)2.0*(y - __floorf(y));	/* y = |x| mod 2.0 */
+	    n   = (int) (y*(float)4.0);
+	} else {
+            if(ix>=0x4b800000) {
+                y = zero; n = 0;                 /* y must be even */
+            } else {
+                if(ix<0x4b000000) z = y+two23;	/* exact */
+		GET_FLOAT_WORD(n,z);
+		n &= 1;
+                y  = n;
+                n<<= 2;
+            }
+        }
+	switch (n) {
+	    case 0:   y =  __kernel_sinf(pi*y,zero,0); break;
+	    case 1:   
+	    case 2:   y =  __kernel_cosf(pi*((float)0.5-y),zero); break;
+	    case 3:  
+	    case 4:   y =  __kernel_sinf(pi*(one-y),zero,0); break;
+	    case 5:
+	    case 6:   y = -__kernel_cosf(pi*(y-(float)1.5),zero); break;
+	    default:  y =  __kernel_sinf(pi*(y-(float)2.0),zero,0); break;
+	    }
+	return -y;
+}
+
+
+#ifdef __STDC__
+	float __ieee754_lgammaf_r(float x, int *signgamp)
+#else
+	float __ieee754_lgammaf_r(x,signgamp)
+	float x; int *signgamp;
+#endif
+{
+	float t,y,z,nadj,p,p1,p2,p3,q,r,w;
+	int i,hx,ix;
+
+	GET_FLOAT_WORD(hx,x);
+
+    /* purge off +-inf, NaN, +-0, and negative arguments */
+	*signgamp = 1;
+	ix = hx&0x7fffffff;
+	if(ix>=0x7f800000) return x*x;
+	if(ix==0) return one/zero;
+	if(ix<0x1c800000) {	/* |x|<2**-70, return -log(|x|) */
+	    if(hx<0) {
+	        *signgamp = -1;
+	        return -__ieee754_logf(-x);
+	    } else return -__ieee754_logf(x);
+	}
+	if(hx<0) {
+	    if(ix>=0x4b000000) 	/* |x|>=2**23, must be -integer */
+		return one/zero;
+	    t = sin_pif(x);
+	    if(t==zero) return one/zero; /* -integer */
+	    nadj = __ieee754_logf(pi/fabsf(t*x));
+	    if(t<zero) *signgamp = -1;
+	    x = -x;
+	}
+
+    /* purge off 1 and 2 */
+	if (ix==0x3f800000||ix==0x40000000) r = 0;
+    /* for x < 2.0 */
+	else if(ix<0x40000000) {
+	    if(ix<=0x3f666666) { 	/* lgamma(x) = lgamma(x+1)-log(x) */
+		r = -__ieee754_logf(x);
+		if(ix>=0x3f3b4a20) {y = one-x; i= 0;}
+		else if(ix>=0x3e6d3308) {y= x-(tc-one); i=1;}
+	  	else {y = x; i=2;}
+	    } else {
+	  	r = zero;
+	        if(ix>=0x3fdda618) {y=(float)2.0-x;i=0;} /* [1.7316,2] */
+	        else if(ix>=0x3F9da620) {y=x-tc;i=1;} /* [1.23,1.73] */
+		else {y=x-one;i=2;}
+	    }
+	    switch(i) {
+	      case 0:
+		z = y*y;
+		p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
+		p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+		p  = y*p1+p2;
+		r  += (p-(float)0.5*y); break;
+	      case 1:
+		z = y*y;
+		w = z*y;
+		p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12)));	/* parallel comp */
+		p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
+		p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
+		p  = z*p1-(tt-w*(p2+y*p3));
+		r += (tf + p); break;
+	      case 2:	
+		p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
+		p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+		r += (-(float)0.5*y + p1/p2);
+	    }
+	}
+	else if(ix<0x41000000) { 			/* x < 8.0 */
+	    i = (int)x;
+	    t = zero;
+	    y = x-(float)i;
+	    p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
+	    q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+	    r = half*y+p/q;
+	    z = one;	/* lgamma(1+s) = log(s) + lgamma(s) */
+	    switch(i) {
+	    case 7: z *= (y+(float)6.0);	/* FALLTHRU */
+	    case 6: z *= (y+(float)5.0);	/* FALLTHRU */
+	    case 5: z *= (y+(float)4.0);	/* FALLTHRU */
+	    case 4: z *= (y+(float)3.0);	/* FALLTHRU */
+	    case 3: z *= (y+(float)2.0);	/* FALLTHRU */
+		    r += __ieee754_logf(z); break;
+	    }
+    /* 8.0 <= x < 2**58 */
+	} else if (ix < 0x5c800000) {
+	    t = __ieee754_logf(x);
+	    z = one/x;
+	    y = z*z;
+	    w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+	    r = (x-half)*(t-one)+w;
+	} else 
+    /* 2**58 <= x <= inf */
+	    r =  x*(__ieee754_logf(x)-one);
+	if(hx<0) r = nadj - r;
+	return r;
+}
--- a/sysdeps/libm-ieee754/e_log.c
+++ b/sysdeps/libm-ieee754/e_log.c
@ -0,0 +1,146 @@
+/* @(#)e_log.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_log.c,v 1.8 1995/05/10 20:45:49 jtc Exp $";
+#endif
+
+/* __ieee754_log(x)
+ * Return the logrithm of x
+ *
+ * Method :                  
+ *   1. Argument Reduction: find k and f such that 
+ *			x = 2^k * (1+f), 
+ *	   where  sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ *   2. Approximation of log(1+f).
+ *	Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
+ *		 = 2s + 2/3 s**3 + 2/5 s**5 + .....,
+ *	     	 = 2s + s*R
+ *      We use a special Reme algorithm on [0,0.1716] to generate 
+ * 	a polynomial of degree 14 to approximate R The maximum error 
+ *	of this polynomial approximation is bounded by 2**-58.45. In
+ *	other words,
+ *		        2      4      6      8      10      12      14
+ *	    R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s  +Lg6*s  +Lg7*s
+ *  	(the values of Lg1 to Lg7 are listed in the program)
+ *	and
+ *	    |      2          14          |     -58.45
+ *	    | Lg1*s +...+Lg7*s    -  R(z) | <= 2 
+ *	    |                             |
+ *	Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
+ *	In order to guarantee error in log below 1ulp, we compute log
+ *	by
+ *		log(1+f) = f - s*(f - R)	(if f is not too large)
+ *		log(1+f) = f - (hfsq - s*(hfsq+R)).	(better accuracy)
+ *	
+ *	3. Finally,  log(x) = k*ln2 + log(1+f).  
+ *			    = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo)))
+ *	   Here ln2 is split into two floating point number: 
+ *			ln2_hi + ln2_lo,
+ *	   where n*ln2_hi is always exact for |n| < 2000.
+ *
+ * Special cases:
+ *	log(x) is NaN with signal if x < 0 (including -INF) ; 
+ *	log(+INF) is +INF; log(0) is -INF with signal;
+ *	log(NaN) is that NaN with no signal.
+ *
+ * Accuracy:
+ *	according to an error analysis, the error is always less than
+ *	1 ulp (unit in the last place).
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following 
+ * constants. The decimal values may be used, provided that the 
+ * compiler will convert from decimal to binary accurately enough 
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+ln2_hi  =  6.93147180369123816490e-01,	/* 3fe62e42 fee00000 */
+ln2_lo  =  1.90821492927058770002e-10,	/* 3dea39ef 35793c76 */
+two54   =  1.80143985094819840000e+16,  /* 43500000 00000000 */
+Lg1 = 6.666666666666735130e-01,  /* 3FE55555 55555593 */
+Lg2 = 3.999999999940941908e-01,  /* 3FD99999 9997FA04 */
+Lg3 = 2.857142874366239149e-01,  /* 3FD24924 94229359 */
+Lg4 = 2.222219843214978396e-01,  /* 3FCC71C5 1D8E78AF */
+Lg5 = 1.818357216161805012e-01,  /* 3FC74664 96CB03DE */
+Lg6 = 1.531383769920937332e-01,  /* 3FC39A09 D078C69F */
+Lg7 = 1.479819860511658591e-01;  /* 3FC2F112 DF3E5244 */
+
+#ifdef __STDC__
+static const double zero   =  0.0;
+#else
+static double zero   =  0.0;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_log(double x)
+#else
+	double __ieee754_log(x)
+	double x;
+#endif
+{
+	double hfsq,f,s,z,R,w,t1,t2,dk;
+	int32_t k,hx,i,j;
+	u_int32_t lx;
+
+	EXTRACT_WORDS(hx,lx,x);
+
+	k=0;
+	if (hx < 0x00100000) {			/* x < 2**-1022  */
+	    if (((hx&0x7fffffff)|lx)==0) 
+		return -two54/zero;		/* log(+-0)=-inf */
+	    if (hx<0) return (x-x)/zero;	/* log(-#) = NaN */
+	    k -= 54; x *= two54; /* subnormal number, scale up x */
+	    GET_HIGH_WORD(hx,x);
+	} 
+	if (hx >= 0x7ff00000) return x+x;
+	k += (hx>>20)-1023;
+	hx &= 0x000fffff;
+	i = (hx+0x95f64)&0x100000;
+	SET_HIGH_WORD(x,hx|(i^0x3ff00000));	/* normalize x or x/2 */
+	k += (i>>20);
+	f = x-1.0;
+	if((0x000fffff&(2+hx))<3) {	/* |f| < 2**-20 */
+	    if(f==zero) if(k==0) return zero;  else {dk=(double)k;
+				 return dk*ln2_hi+dk*ln2_lo;}
+	    R = f*f*(0.5-0.33333333333333333*f);
+	    if(k==0) return f-R; else {dk=(double)k;
+	    	     return dk*ln2_hi-((R-dk*ln2_lo)-f);}
+	}
+ 	s = f/(2.0+f); 
+	dk = (double)k;
+	z = s*s;
+	i = hx-0x6147a;
+	w = z*z;
+	j = 0x6b851-hx;
+	t1= w*(Lg2+w*(Lg4+w*Lg6)); 
+	t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7))); 
+	i |= j;
+	R = t2+t1;
+	if(i>0) {
+	    hfsq=0.5*f*f;
+	    if(k==0) return f-(hfsq-s*(hfsq+R)); else
+		     return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
+	} else {
+	    if(k==0) return f-s*(f-R); else
+		     return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
+	}
+}
--- a/sysdeps/libm-ieee754/e_log10.c
+++ b/sysdeps/libm-ieee754/e_log10.c
@ -0,0 +1,98 @@
+/* @(#)e_log10.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_log10.c,v 1.9 1995/05/10 20:45:51 jtc Exp $";
+#endif
+
+/* __ieee754_log10(x)
+ * Return the base 10 logarithm of x
+ * 
+ * Method :
+ *	Let log10_2hi = leading 40 bits of log10(2) and
+ *	    log10_2lo = log10(2) - log10_2hi,
+ *	    ivln10   = 1/log(10) rounded.
+ *	Then
+ *		n = ilogb(x), 
+ *		if(n<0)  n = n+1;
+ *		x = scalbn(x,-n);
+ *		log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x))
+ *
+ * Note 1:
+ *	To guarantee log10(10**n)=n, where 10**n is normal, the rounding 
+ *	mode must set to Round-to-Nearest.
+ * Note 2:
+ *	[1/log(10)] rounded to 53 bits has error  .198   ulps;
+ *	log10 is monotonic at all binary break points.
+ *
+ * Special cases:
+ *	log10(x) is NaN with signal if x < 0; 
+ *	log10(+INF) is +INF with no signal; log10(0) is -INF with signal;
+ *	log10(NaN) is that NaN with no signal;
+ *	log10(10**N) = N  for N=0,1,...,22.
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following constants.
+ * The decimal values may be used, provided that the compiler will convert
+ * from decimal to binary accurately enough to produce the hexadecimal values
+ * shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two54      =  1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+ivln10     =  4.34294481903251816668e-01, /* 0x3FDBCB7B, 0x1526E50E */
+log10_2hi  =  3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */
+log10_2lo  =  3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */
+
+#ifdef __STDC__
+static const double zero   =  0.0;
+#else
+static double zero   =  0.0;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_log10(double x)
+#else
+	double __ieee754_log10(x)
+	double x;
+#endif
+{
+	double y,z;
+	int32_t i,k,hx;
+	u_int32_t lx;
+
+	EXTRACT_WORDS(hx,lx,x);
+
+        k=0;
+        if (hx < 0x00100000) {                  /* x < 2**-1022  */
+            if (((hx&0x7fffffff)|lx)==0)
+                return -two54/zero;             /* log(+-0)=-inf */
+            if (hx<0) return (x-x)/zero;        /* log(-#) = NaN */
+            k -= 54; x *= two54; /* subnormal number, scale up x */
+	    GET_HIGH_WORD(hx,x);
+        }
+	if (hx >= 0x7ff00000) return x+x;
+	k += (hx>>20)-1023;
+	i  = ((u_int32_t)k&0x80000000)>>31;
+        hx = (hx&0x000fffff)|((0x3ff-i)<<20);
+        y  = (double)(k+i);
+	SET_HIGH_WORD(x,hx);
+	z  = y*log10_2lo + ivln10*__ieee754_log(x);
+	return  z+y*log10_2hi;
+}
--- a/sysdeps/libm-ieee754/e_log10f.c
+++ b/sysdeps/libm-ieee754/e_log10f.c
@ -0,0 +1,67 @@
+/* e_log10f.c -- float version of e_log10.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_log10f.c,v 1.5 1995/05/10 20:45:53 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two25      =  3.3554432000e+07, /* 0x4c000000 */
+ivln10     =  4.3429449201e-01, /* 0x3ede5bd9 */
+log10_2hi  =  3.0102920532e-01, /* 0x3e9a2080 */
+log10_2lo  =  7.9034151668e-07; /* 0x355427db */
+
+#ifdef __STDC__
+static const float zero   =  0.0;
+#else
+static float zero   =  0.0;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_log10f(float x)
+#else
+	float __ieee754_log10f(x)
+	float x;
+#endif
+{
+	float y,z;
+	int32_t i,k,hx;
+
+	GET_FLOAT_WORD(hx,x);
+
+        k=0;
+        if (hx < 0x00800000) {                  /* x < 2**-126  */
+            if ((hx&0x7fffffff)==0)
+                return -two25/zero;             /* log(+-0)=-inf */
+            if (hx<0) return (x-x)/zero;        /* log(-#) = NaN */
+            k -= 25; x *= two25; /* subnormal number, scale up x */
+	    GET_FLOAT_WORD(hx,x);
+        }
+	if (hx >= 0x7f800000) return x+x;
+	k += (hx>>23)-127;
+	i  = ((u_int32_t)k&0x80000000)>>31;
+        hx = (hx&0x007fffff)|((0x7f-i)<<23);
+        y  = (float)(k+i);
+	SET_FLOAT_WORD(x,hx);
+	z  = y*log10_2lo + ivln10*__ieee754_logf(x);
+	return  z+y*log10_2hi;
+}
--- a/sysdeps/libm-ieee754/e_logf.c
+++ b/sysdeps/libm-ieee754/e_logf.c
@ -0,0 +1,97 @@
+/* e_logf.c -- float version of e_log.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_logf.c,v 1.4 1995/05/10 20:45:54 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+ln2_hi =   6.9313812256e-01,	/* 0x3f317180 */
+ln2_lo =   9.0580006145e-06,	/* 0x3717f7d1 */
+two25 =    3.355443200e+07,	/* 0x4c000000 */
+Lg1 = 6.6666668653e-01,	/* 3F2AAAAB */
+Lg2 = 4.0000000596e-01,	/* 3ECCCCCD */
+Lg3 = 2.8571429849e-01, /* 3E924925 */
+Lg4 = 2.2222198546e-01, /* 3E638E29 */
+Lg5 = 1.8183572590e-01, /* 3E3A3325 */
+Lg6 = 1.5313838422e-01, /* 3E1CD04F */
+Lg7 = 1.4798198640e-01; /* 3E178897 */
+
+#ifdef __STDC__
+static const float zero   =  0.0;
+#else
+static float zero   =  0.0;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_logf(float x)
+#else
+	float __ieee754_logf(x)
+	float x;
+#endif
+{
+	float hfsq,f,s,z,R,w,t1,t2,dk;
+	int32_t k,ix,i,j;
+
+	GET_FLOAT_WORD(ix,x);
+
+	k=0;
+	if (ix < 0x00800000) {			/* x < 2**-126  */
+	    if ((ix&0x7fffffff)==0) 
+		return -two25/zero;		/* log(+-0)=-inf */
+	    if (ix<0) return (x-x)/zero;	/* log(-#) = NaN */
+	    k -= 25; x *= two25; /* subnormal number, scale up x */
+	    GET_FLOAT_WORD(ix,x);
+	} 
+	if (ix >= 0x7f800000) return x+x;
+	k += (ix>>23)-127;
+	ix &= 0x007fffff;
+	i = (ix+(0x95f64<<3))&0x800000;
+	SET_FLOAT_WORD(x,ix|(i^0x3f800000));	/* normalize x or x/2 */
+	k += (i>>23);
+	f = x-(float)1.0;
+	if((0x007fffff&(15+ix))<16) {	/* |f| < 2**-20 */
+	    if(f==zero) if(k==0) return zero;  else {dk=(float)k;
+				 return dk*ln2_hi+dk*ln2_lo;}
+	    R = f*f*((float)0.5-(float)0.33333333333333333*f);
+	    if(k==0) return f-R; else {dk=(float)k;
+	    	     return dk*ln2_hi-((R-dk*ln2_lo)-f);}
+	}
+ 	s = f/((float)2.0+f); 
+	dk = (float)k;
+	z = s*s;
+	i = ix-(0x6147a<<3);
+	w = z*z;
+	j = (0x6b851<<3)-ix;
+	t1= w*(Lg2+w*(Lg4+w*Lg6)); 
+	t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7))); 
+	i |= j;
+	R = t2+t1;
+	if(i>0) {
+	    hfsq=(float)0.5*f*f;
+	    if(k==0) return f-(hfsq-s*(hfsq+R)); else
+		     return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
+	} else {
+	    if(k==0) return f-s*(f-R); else
+		     return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
+	}
+}
--- a/sysdeps/libm-ieee754/e_pow.c
+++ b/sysdeps/libm-ieee754/e_pow.c
@ -0,0 +1,308 @@
+/* @(#)e_pow.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_pow.c,v 1.9 1995/05/12 04:57:32 jtc Exp $";
+#endif
+
+/* __ieee754_pow(x,y) return x**y
+ *
+ *		      n
+ * Method:  Let x =  2   * (1+f)
+ *	1. Compute and return log2(x) in two pieces:
+ *		log2(x) = w1 + w2,
+ *	   where w1 has 53-24 = 29 bit trailing zeros.
+ *	2. Perform y*log2(x) = n+y' by simulating muti-precision 
+ *	   arithmetic, where |y'|<=0.5.
+ *	3. Return x**y = 2**n*exp(y'*log2)
+ *
+ * Special cases:
+ *	1.  (anything) ** 0  is 1
+ *	2.  (anything) ** 1  is itself
+ *	3.  (anything) ** NAN is NAN
+ *	4.  NAN ** (anything except 0) is NAN
+ *	5.  +-(|x| > 1) **  +INF is +INF
+ *	6.  +-(|x| > 1) **  -INF is +0
+ *	7.  +-(|x| < 1) **  +INF is +0
+ *	8.  +-(|x| < 1) **  -INF is +INF
+ *	9.  +-1         ** +-INF is NAN
+ *	10. +0 ** (+anything except 0, NAN)               is +0
+ *	11. -0 ** (+anything except 0, NAN, odd integer)  is +0
+ *	12. +0 ** (-anything except 0, NAN)               is +INF
+ *	13. -0 ** (-anything except 0, NAN, odd integer)  is +INF
+ *	14. -0 ** (odd integer) = -( +0 ** (odd integer) )
+ *	15. +INF ** (+anything except 0,NAN) is +INF
+ *	16. +INF ** (-anything except 0,NAN) is +0
+ *	17. -INF ** (anything)  = -0 ** (-anything)
+ *	18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
+ *	19. (-anything except 0 and inf) ** (non-integer) is NAN
+ *
+ * Accuracy:
+ *	pow(x,y) returns x**y nearly rounded. In particular
+ *			pow(integer,integer)
+ *	always returns the correct integer provided it is 
+ *	representable.
+ *
+ * Constants :
+ * The hexadecimal values are the intended ones for the following 
+ * constants. The decimal values may be used, provided that the 
+ * compiler will convert from decimal to binary accurately enough 
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double 
+#else
+static double 
+#endif
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
+dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
+zero    =  0.0,
+one	=  1.0,
+two	=  2.0,
+two53	=  9007199254740992.0,	/* 0x43400000, 0x00000000 */
+huge	=  1.0e300,
+tiny    =  1.0e-300,
+	/* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1  =  5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */
+L2  =  4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */
+L3  =  3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */
+L4  =  2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */
+L5  =  2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */
+L6  =  2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */
+P1   =  1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
+P2   = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
+P3   =  6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
+P4   = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
+P5   =  4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */
+lg2  =  6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+lg2_h  =  6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */
+lg2_l  = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */
+ovt =  8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */
+cp    =  9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */
+cp_h  =  9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */
+cp_l  = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/
+ivln2    =  1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */
+ivln2_h  =  1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/
+ivln2_l  =  1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/
+
+#ifdef __STDC__
+	double __ieee754_pow(double x, double y)
+#else
+	double __ieee754_pow(x,y)
+	double x, y;
+#endif
+{
+	double z,ax,z_h,z_l,p_h,p_l;
+	double y1,t1,t2,r,s,t,u,v,w;
+	int32_t i,j,k,yisint,n;
+	int32_t hx,hy,ix,iy;
+	u_int32_t lx,ly;
+
+	EXTRACT_WORDS(hx,lx,x);
+	EXTRACT_WORDS(hy,ly,y);
+	ix = hx&0x7fffffff;  iy = hy&0x7fffffff;
+
+    /* y==zero: x**0 = 1 */
+	if((iy|ly)==0) return one; 	
+
+    /* +-NaN return x+y */
+	if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
+	   iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0))) 
+		return x+y;	
+
+    /* determine if y is an odd int when x < 0
+     * yisint = 0	... y is not an integer
+     * yisint = 1	... y is an odd int
+     * yisint = 2	... y is an even int
+     */
+	yisint  = 0;
+	if(hx<0) {	
+	    if(iy>=0x43400000) yisint = 2; /* even integer y */
+	    else if(iy>=0x3ff00000) {
+		k = (iy>>20)-0x3ff;	   /* exponent */
+		if(k>20) {
+		    j = ly>>(52-k);
+		    if((j<<(52-k))==ly) yisint = 2-(j&1);
+		} else if(ly==0) {
+		    j = iy>>(20-k);
+		    if((j<<(20-k))==iy) yisint = 2-(j&1);
+		}
+	    }		
+	} 
+
+    /* special value of y */
+	if(ly==0) { 	
+	    if (iy==0x7ff00000) {	/* y is +-inf */
+	        if(((ix-0x3ff00000)|lx)==0)
+		    return  y - y;	/* inf**+-1 is NaN */
+	        else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */
+		    return (hy>=0)? y: zero;
+	        else			/* (|x|<1)**-,+inf = inf,0 */
+		    return (hy<0)?-y: zero;
+	    } 
+	    if(iy==0x3ff00000) {	/* y is  +-1 */
+		if(hy<0) return one/x; else return x;
+	    }
+	    if(hy==0x40000000) return x*x; /* y is  2 */
+	    if(hy==0x3fe00000) {	/* y is  0.5 */
+		if(hx>=0)	/* x >= +0 */
+		return __ieee754_sqrt(x);	
+	    }
+	}
+
+	ax   = fabs(x);
+    /* special value of x */
+	if(lx==0) {
+	    if(ix==0x7ff00000||ix==0||ix==0x3ff00000){
+		z = ax;			/*x is +-0,+-inf,+-1*/
+		if(hy<0) z = one/z;	/* z = (1/|x|) */
+		if(hx<0) {
+		    if(((ix-0x3ff00000)|yisint)==0) {
+			z = (z-z)/(z-z); /* (-1)**non-int is NaN */
+		    } else if(yisint==1) 
+			z = -z;		/* (x<0)**odd = -(|x|**odd) */
+		}
+		return z;
+	    }
+	}
+    
+    /* (x<0)**(non-int) is NaN */
+	if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x);
+
+    /* |y| is huge */
+	if(iy>0x41e00000) { /* if |y| > 2**31 */
+	    if(iy>0x43f00000){	/* if |y| > 2**64, must o/uflow */
+		if(ix<=0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
+		if(ix>=0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
+	    }
+	/* over/underflow if x is not close to one */
+	    if(ix<0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
+	    if(ix>0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
+	/* now |1-x| is tiny <= 2**-20, suffice to compute 
+	   log(x) by x-x^2/2+x^3/3-x^4/4 */
+	    t = x-1;		/* t has 20 trailing zeros */
+	    w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25));
+	    u = ivln2_h*t;	/* ivln2_h has 21 sig. bits */
+	    v = t*ivln2_l-w*ivln2;
+	    t1 = u+v;
+	    SET_LOW_WORD(t1,0);
+	    t2 = v-(t1-u);
+	} else {
+	    double s2,s_h,s_l,t_h,t_l;
+	    n = 0;
+	/* take care subnormal number */
+	    if(ix<0x00100000)
+		{ax *= two53; n -= 53; GET_HIGH_WORD(ix,ax); }
+	    n  += ((ix)>>20)-0x3ff;
+	    j  = ix&0x000fffff;
+	/* determine interval */
+	    ix = j|0x3ff00000;		/* normalize ix */
+	    if(j<=0x3988E) k=0;		/* |x|<sqrt(3/2) */
+	    else if(j<0xBB67A) k=1;	/* |x|<sqrt(3)   */
+	    else {k=0;n+=1;ix -= 0x00100000;}
+	    SET_HIGH_WORD(ax,ix);
+
+	/* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+	    u = ax-bp[k];		/* bp[0]=1.0, bp[1]=1.5 */
+	    v = one/(ax+bp[k]);
+	    s = u*v;
+	    s_h = s;
+	    SET_LOW_WORD(s_h,0);
+	/* t_h=ax+bp[k] High */
+	    t_h = zero;
+	    SET_HIGH_WORD(t_h,((ix>>1)|0x20000000)+0x00080000+(k<<18));
+	    t_l = ax - (t_h-bp[k]);
+	    s_l = v*((u-s_h*t_h)-s_h*t_l);
+	/* compute log(ax) */
+	    s2 = s*s;
+	    r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+	    r += s_l*(s_h+s);
+	    s2  = s_h*s_h;
+	    t_h = 3.0+s2+r;
+	    SET_LOW_WORD(t_h,0);
+	    t_l = r-((t_h-3.0)-s2);
+	/* u+v = s*(1+...) */
+	    u = s_h*t_h;
+	    v = s_l*t_h+t_l*s;
+	/* 2/(3log2)*(s+...) */
+	    p_h = u+v;
+	    SET_LOW_WORD(p_h,0);
+	    p_l = v-(p_h-u);
+	    z_h = cp_h*p_h;		/* cp_h+cp_l = 2/(3*log2) */
+	    z_l = cp_l*p_h+p_l*cp+dp_l[k];
+	/* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+	    t = (double)n;
+	    t1 = (((z_h+z_l)+dp_h[k])+t);
+	    SET_LOW_WORD(t1,0);
+	    t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+	}
+
+	s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+	if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0)
+	    s = -one;/* (-ve)**(odd int) */
+
+    /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+	y1  = y;
+	SET_LOW_WORD(y1,0);
+	p_l = (y-y1)*t1+y*t2;
+	p_h = y1*t1;
+	z = p_l+p_h;
+	EXTRACT_WORDS(j,i,z);
+	if (j>=0x40900000) {				/* z >= 1024 */
+	    if(((j-0x40900000)|i)!=0)			/* if z > 1024 */
+		return s*huge*huge;			/* overflow */
+	    else {
+		if(p_l+ovt>z-p_h) return s*huge*huge;	/* overflow */
+	    }
+	} else if((j&0x7fffffff)>=0x4090cc00 ) {	/* z <= -1075 */
+	    if(((j-0xc090cc00)|i)!=0) 		/* z < -1075 */
+		return s*tiny*tiny;		/* underflow */
+	    else {
+		if(p_l<=z-p_h) return s*tiny*tiny;	/* underflow */
+	    }
+	}
+    /*
+     * compute 2**(p_h+p_l)
+     */
+	i = j&0x7fffffff;
+	k = (i>>20)-0x3ff;
+	n = 0;
+	if(i>0x3fe00000) {		/* if |z| > 0.5, set n = [z+0.5] */
+	    n = j+(0x00100000>>(k+1));
+	    k = ((n&0x7fffffff)>>20)-0x3ff;	/* new k for n */
+	    t = zero;
+	    SET_HIGH_WORD(t,n&~(0x000fffff>>k));
+	    n = ((n&0x000fffff)|0x00100000)>>(20-k);
+	    if(j<0) n = -n;
+	    p_h -= t;
+	} 
+	t = p_l+p_h;
+	SET_LOW_WORD(t,0);
+	u = t*lg2_h;
+	v = (p_l-(t-p_h))*lg2+t*lg2_l;
+	z = u+v;
+	w = v-(z-u);
+	t  = z*z;
+	t1  = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+	r  = (z*t1)/(t1-two)-(w+z*w);
+	z  = one-(r-z);
+	GET_HIGH_WORD(j,z);
+	j += (n<<20);
+	if((j>>20)<=0) z = __scalbn(z,n);	/* subnormal output */
+	else SET_HIGH_WORD(z,j);
+	return s*z;
+}
--- a/sysdeps/libm-ieee754/e_powf.c
+++ b/sysdeps/libm-ieee754/e_powf.c
@ -0,0 +1,253 @@
+/* e_powf.c -- float version of e_pow.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_powf.c,v 1.6 1995/05/12 04:57:35 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile float huge = 1.0e+30, tiny = 1.0e-30;
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
+dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
+zero    =  0.0,
+one	=  1.0,
+two	=  2.0,
+two24	=  16777216.0,	/* 0x4b800000 */
+	/* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1  =  6.0000002384e-01, /* 0x3f19999a */
+L2  =  4.2857143283e-01, /* 0x3edb6db7 */
+L3  =  3.3333334327e-01, /* 0x3eaaaaab */
+L4  =  2.7272811532e-01, /* 0x3e8ba305 */
+L5  =  2.3066075146e-01, /* 0x3e6c3255 */
+L6  =  2.0697501302e-01, /* 0x3e53f142 */
+P1   =  1.6666667163e-01, /* 0x3e2aaaab */
+P2   = -2.7777778450e-03, /* 0xbb360b61 */
+P3   =  6.6137559770e-05, /* 0x388ab355 */
+P4   = -1.6533901999e-06, /* 0xb5ddea0e */
+P5   =  4.1381369442e-08, /* 0x3331bb4c */
+lg2  =  6.9314718246e-01, /* 0x3f317218 */
+lg2_h  =  6.93145752e-01, /* 0x3f317200 */
+lg2_l  =  1.42860654e-06, /* 0x35bfbe8c */
+ovt =  4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */
+cp    =  9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */
+cp_h  =  9.6179199219e-01, /* 0x3f763800 =head of cp */
+cp_l  =  4.7017383622e-06, /* 0x369dc3a0 =tail of cp_h */
+ivln2    =  1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */
+ivln2_h  =  1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/
+ivln2_l  =  7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/
+
+#ifdef __STDC__
+	float __ieee754_powf(float x, float y)
+#else
+	float __ieee754_powf(x,y)
+	float x, y;
+#endif
+{
+	float z,ax,z_h,z_l,p_h,p_l;
+	float y1,t1,t2,r,s,t,u,v,w;
+	int32_t i,j,k,yisint,n;
+	int32_t hx,hy,ix,iy,is;
+
+	GET_FLOAT_WORD(hx,x);
+	GET_FLOAT_WORD(hy,y);
+	ix = hx&0x7fffffff;  iy = hy&0x7fffffff;
+
+    /* y==zero: x**0 = 1 */
+	if(iy==0) return one; 	
+
+    /* +-NaN return x+y */
+	if(ix > 0x7f800000 ||
+	   iy > 0x7f800000)
+		return x+y;	
+
+    /* determine if y is an odd int when x < 0
+     * yisint = 0	... y is not an integer
+     * yisint = 1	... y is an odd int
+     * yisint = 2	... y is an even int
+     */
+	yisint  = 0;
+	if(hx<0) {	
+	    if(iy>=0x4b800000) yisint = 2; /* even integer y */
+	    else if(iy>=0x3f800000) {
+		k = (iy>>23)-0x7f;	   /* exponent */
+		j = iy>>(23-k);
+		if((j<<(23-k))==iy) yisint = 2-(j&1);
+	    }		
+	} 
+
+    /* special value of y */
+	if (iy==0x7f800000) {	/* y is +-inf */
+	    if (ix==0x3f800000)
+	        return  y - y;	/* inf**+-1 is NaN */
+	    else if (ix > 0x3f800000)/* (|x|>1)**+-inf = inf,0 */
+	        return (hy>=0)? y: zero;
+	    else			/* (|x|<1)**-,+inf = inf,0 */
+	        return (hy<0)?-y: zero;
+	} 
+	if(iy==0x3f800000) {	/* y is  +-1 */
+	    if(hy<0) return one/x; else return x;
+	}
+	if(hy==0x40000000) return x*x; /* y is  2 */
+	if(hy==0x3f000000) {	/* y is  0.5 */
+	    if(hx>=0)	/* x >= +0 */
+	    return __ieee754_sqrtf(x);	
+	}
+
+	ax   = fabsf(x);
+    /* special value of x */
+	if(ix==0x7f800000||ix==0||ix==0x3f800000){
+	    z = ax;			/*x is +-0,+-inf,+-1*/
+	    if(hy<0) z = one/z;	/* z = (1/|x|) */
+	    if(hx<0) {
+		if(((ix-0x3f800000)|yisint)==0) {
+		    z = (z-z)/(z-z); /* (-1)**non-int is NaN */
+		} else if(yisint==1) 
+		    z = -z;		/* (x<0)**odd = -(|x|**odd) */
+	    }
+	    return z;
+	}
+    
+    /* (x<0)**(non-int) is NaN */
+	if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x);
+
+    /* |y| is huge */
+	if(iy>0x4d000000) { /* if |y| > 2**27 */
+	/* over/underflow if x is not close to one */
+	    if(ix<0x3f7ffff8) return (hy<0)? huge*huge:tiny*tiny;
+	    if(ix>0x3f800007) return (hy>0)? huge*huge:tiny*tiny;
+	/* now |1-x| is tiny <= 2**-20, suffice to compute 
+	   log(x) by x-x^2/2+x^3/3-x^4/4 */
+	    t = x-1;		/* t has 20 trailing zeros */
+	    w = (t*t)*((float)0.5-t*((float)0.333333333333-t*(float)0.25));
+	    u = ivln2_h*t;	/* ivln2_h has 16 sig. bits */
+	    v = t*ivln2_l-w*ivln2;
+	    t1 = u+v;
+	    GET_FLOAT_WORD(is,t1);
+	    SET_FLOAT_WORD(t1,is&0xfffff000);
+	    t2 = v-(t1-u);
+	} else {
+	    float s2,s_h,s_l,t_h,t_l;
+	    n = 0;
+	/* take care subnormal number */
+	    if(ix<0x00800000)
+		{ax *= two24; n -= 24; GET_FLOAT_WORD(ix,ax); }
+	    n  += ((ix)>>23)-0x7f;
+	    j  = ix&0x007fffff;
+	/* determine interval */
+	    ix = j|0x3f800000;		/* normalize ix */
+	    if(j<=0x1cc471) k=0;	/* |x|<sqrt(3/2) */
+	    else if(j<0x5db3d7) k=1;	/* |x|<sqrt(3)   */
+	    else {k=0;n+=1;ix -= 0x00800000;}
+	    SET_FLOAT_WORD(ax,ix);
+
+	/* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+	    u = ax-bp[k];		/* bp[0]=1.0, bp[1]=1.5 */
+	    v = one/(ax+bp[k]);
+	    s = u*v;
+	    s_h = s;
+	    GET_FLOAT_WORD(is,s_h);
+	    SET_FLOAT_WORD(s_h,is&0xfffff000);
+	/* t_h=ax+bp[k] High */
+	    SET_FLOAT_WORD(t_h,((ix>>1)|0x20000000)+0x0040000+(k<<21));
+	    t_l = ax - (t_h-bp[k]);
+	    s_l = v*((u-s_h*t_h)-s_h*t_l);
+	/* compute log(ax) */
+	    s2 = s*s;
+	    r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+	    r += s_l*(s_h+s);
+	    s2  = s_h*s_h;
+	    t_h = (float)3.0+s2+r;
+	    GET_FLOAT_WORD(is,t_h);
+	    SET_FLOAT_WORD(t_h,is&0xfffff000);
+	    t_l = r-((t_h-(float)3.0)-s2);
+	/* u+v = s*(1+...) */
+	    u = s_h*t_h;
+	    v = s_l*t_h+t_l*s;
+	/* 2/(3log2)*(s+...) */
+	    p_h = u+v;
+	    GET_FLOAT_WORD(is,p_h);
+	    SET_FLOAT_WORD(p_h,is&0xfffff000);
+	    p_l = v-(p_h-u);
+	    z_h = cp_h*p_h;		/* cp_h+cp_l = 2/(3*log2) */
+	    z_l = cp_l*p_h+p_l*cp+dp_l[k];
+	/* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+	    t = (float)n;
+	    t1 = (((z_h+z_l)+dp_h[k])+t);
+	    GET_FLOAT_WORD(is,t1);
+	    SET_FLOAT_WORD(t1,is&0xfffff000);
+	    t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+	}
+
+	s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+	if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0)
+	    s = -one;	/* (-ve)**(odd int) */
+
+    /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+	GET_FLOAT_WORD(is,y);
+	SET_FLOAT_WORD(y1,is&0xfffff000);
+	p_l = (y-y1)*t1+y*t2;
+	p_h = y1*t1;
+	z = p_l+p_h;
+	GET_FLOAT_WORD(j,z);
+	if (j>0x43000000)				/* if z > 128 */
+	    return s*huge*huge;				/* overflow */
+	else if (j==0x43000000) {			/* if z == 128 */
+	    if(p_l+ovt>z-p_h) return s*huge*huge;	/* overflow */
+	}
+	else if ((j&0x7fffffff)>0x43160000)		/* z <= -150 */
+	    return s*tiny*tiny;				/* underflow */
+	else if (j==0xc3160000){			/* z == -150 */
+	    if(p_l<=z-p_h) return s*tiny*tiny;		/* underflow */
+	}
+    /*
+     * compute 2**(p_h+p_l)
+     */
+	i = j&0x7fffffff;
+	k = (i>>23)-0x7f;
+	n = 0;
+	if(i>0x3f000000) {		/* if |z| > 0.5, set n = [z+0.5] */
+	    n = j+(0x00800000>>(k+1));
+	    k = ((n&0x7fffffff)>>23)-0x7f;	/* new k for n */
+	    SET_FLOAT_WORD(t,n&~(0x007fffff>>k));
+	    n = ((n&0x007fffff)|0x00800000)>>(23-k);
+	    if(j<0) n = -n;
+	    p_h -= t;
+	} 
+	t = p_l+p_h;
+	GET_FLOAT_WORD(is,t);
+	SET_FLOAT_WORD(t,is&0xfffff000);
+	u = t*lg2_h;
+	v = (p_l-(t-p_h))*lg2+t*lg2_l;
+	z = u+v;
+	w = v-(z-u);
+	t  = z*z;
+	t1  = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+	r  = (z*t1)/(t1-two)-(w+z*w);
+	z  = one-(r-z);
+	GET_FLOAT_WORD(j,z);
+	j += (n<<23);
+	if((j>>23)<=0) z = __scalbnf(z,n);	/* subnormal output */
+	else SET_FLOAT_WORD(z,j);
+	return s*z;
+}
--- a/sysdeps/libm-ieee754/e_rem_pio2.c
+++ b/sysdeps/libm-ieee754/e_rem_pio2.c
@ -0,0 +1,183 @@
+/* @(#)e_rem_pio2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_rem_pio2.c,v 1.8 1995/05/10 20:46:02 jtc Exp $";
+#endif
+
+/* __ieee754_rem_pio2(x,y)
+ * 
+ * return the remainder of x rem pi/2 in y[0]+y[1] 
+ * use __kernel_rem_pio2()
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi 
+ */
+#ifdef __STDC__
+static const int32_t two_over_pi[] = {
+#else
+static int32_t two_over_pi[] = {
+#endif
+0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, 
+0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, 
+0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, 
+0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41, 
+0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8, 
+0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF, 
+0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, 
+0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, 
+0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, 
+0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, 
+0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B, 
+};
+
+#ifdef __STDC__
+static const int32_t npio2_hw[] = {
+#else
+static int32_t npio2_hw[] = {
+#endif
+0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C,
+0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C,
+0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A,
+0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C,
+0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB,
+0x404858EB, 0x404921FB,
+};
+
+/*
+ * invpio2:  53 bits of 2/pi
+ * pio2_1:   first  33 bit of pi/2
+ * pio2_1t:  pi/2 - pio2_1
+ * pio2_2:   second 33 bit of pi/2
+ * pio2_2t:  pi/2 - (pio2_1+pio2_2)
+ * pio2_3:   third  33 bit of pi/2
+ * pio2_3t:  pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+#ifdef __STDC__
+static const double 
+#else
+static double 
+#endif
+zero =  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+half =  5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+two24 =  1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+invpio2 =  6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+pio2_1  =  1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
+pio2_1t =  6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
+pio2_2  =  6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
+pio2_2t =  2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
+pio2_3  =  2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
+pio2_3t =  8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
+
+#ifdef __STDC__
+	int32_t __ieee754_rem_pio2(double x, double *y)
+#else
+	int32_t __ieee754_rem_pio2(x,y)
+	double x,y[];
+#endif
+{
+	double z,w,t,r,fn;
+	double tx[3];
+	int32_t e0,i,j,nx,n,ix,hx;
+	u_int32_t low;
+
+	GET_HIGH_WORD(hx,x);		/* high word of x */
+	ix = hx&0x7fffffff;
+	if(ix<=0x3fe921fb)   /* |x| ~<= pi/4 , no need for reduction */
+	    {y[0] = x; y[1] = 0; return 0;}
+	if(ix<0x4002d97c) {  /* |x| < 3pi/4, special case with n=+-1 */
+	    if(hx>0) { 
+		z = x - pio2_1;
+		if(ix!=0x3ff921fb) { 	/* 33+53 bit pi is good enough */
+		    y[0] = z - pio2_1t;
+		    y[1] = (z-y[0])-pio2_1t;
+		} else {		/* near pi/2, use 33+33+53 bit pi */
+		    z -= pio2_2;
+		    y[0] = z - pio2_2t;
+		    y[1] = (z-y[0])-pio2_2t;
+		}
+		return 1;
+	    } else {	/* negative x */
+		z = x + pio2_1;
+		if(ix!=0x3ff921fb) { 	/* 33+53 bit pi is good enough */
+		    y[0] = z + pio2_1t;
+		    y[1] = (z-y[0])+pio2_1t;
+		} else {		/* near pi/2, use 33+33+53 bit pi */
+		    z += pio2_2;
+		    y[0] = z + pio2_2t;
+		    y[1] = (z-y[0])+pio2_2t;
+		}
+		return -1;
+	    }
+	}
+	if(ix<=0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */
+	    t  = fabs(x);
+	    n  = (int32_t) (t*invpio2+half);
+	    fn = (double)n;
+	    r  = t-fn*pio2_1;
+	    w  = fn*pio2_1t;	/* 1st round good to 85 bit */
+	    if(n<32&&ix!=npio2_hw[n-1]) {	
+		y[0] = r-w;	/* quick check no cancellation */
+	    } else {
+	        u_int32_t high;
+	        j  = ix>>20;
+	        y[0] = r-w; 
+		GET_HIGH_WORD(high,y[0]);
+	        i = j-((high>>20)&0x7ff);
+	        if(i>16) {  /* 2nd iteration needed, good to 118 */
+		    t  = r;
+		    w  = fn*pio2_2;	
+		    r  = t-w;
+		    w  = fn*pio2_2t-((t-r)-w);	
+		    y[0] = r-w;
+		    GET_HIGH_WORD(high,y[0]);
+		    i = j-((high>>20)&0x7ff);
+		    if(i>49)  {	/* 3rd iteration need, 151 bits acc */
+		    	t  = r;	/* will cover all possible cases */
+		    	w  = fn*pio2_3;	
+		    	r  = t-w;
+		    	w  = fn*pio2_3t-((t-r)-w);	
+		    	y[0] = r-w;
+		    }
+		}
+	    }
+	    y[1] = (r-y[0])-w;
+	    if(hx<0) 	{y[0] = -y[0]; y[1] = -y[1]; return -n;}
+	    else	 return n;
+	}
+    /* 
+     * all other (large) arguments
+     */
+	if(ix>=0x7ff00000) {		/* x is inf or NaN */
+	    y[0]=y[1]=x-x; return 0;
+	}
+    /* set z = scalbn(|x|,ilogb(x)-23) */
+	GET_LOW_WORD(low,x);
+	SET_LOW_WORD(z,low);
+	e0 	= (ix>>20)-1046;	/* e0 = ilogb(z)-23; */
+	SET_HIGH_WORD(z, ix - ((int32_t)(e0<<20)));
+	for(i=0;i<2;i++) {
+		tx[i] = (double)((int32_t)(z));
+		z     = (z-tx[i])*two24;
+	}
+	tx[2] = z;
+	nx = 3;
+	while(tx[nx-1]==zero) nx--;	/* skip zero term */
+	n  =  __kernel_rem_pio2(tx,y,e0,nx,2,two_over_pi);
+	if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+	return n;
+}
--- a/sysdeps/libm-ieee754/e_rem_pio2f.c
+++ b/sysdeps/libm-ieee754/e_rem_pio2f.c
@ -0,0 +1,196 @@
+/* e_rem_pio2f.c -- float version of e_rem_pio2.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_rem_pio2f.c,v 1.5 1995/05/10 20:46:03 jtc Exp $";
+#endif
+
+/* __ieee754_rem_pio2f(x,y)
+ * 
+ * return the remainder of x rem pi/2 in y[0]+y[1] 
+ * use __kernel_rem_pio2f()
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi 
+ */
+#ifdef __STDC__
+static const int32_t two_over_pi[] = {
+#else
+static int32_t two_over_pi[] = {
+#endif
+0xA2, 0xF9, 0x83, 0x6E, 0x4E, 0x44, 0x15, 0x29, 0xFC,
+0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62, 
+0x95, 0x99, 0x3C, 0x43, 0x90, 0x41, 0xFE, 0x51, 0x63,
+0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A, 
+0x42, 0x4D, 0xD2, 0xE0, 0x06, 0x49, 0x2E, 0xEA, 0x09,
+0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29, 
+0xA7, 0x3E, 0xE8, 0x82, 0x35, 0xF5, 0x2E, 0xBB, 0x44,
+0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41, 
+0x39, 0x91, 0xD6, 0x39, 0x83, 0x53, 0x39, 0xF4, 0x9C,
+0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8, 
+0x97, 0xFF, 0xDE, 0x05, 0x98, 0x0F, 0xEF, 0x2F, 0x11,
+0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF, 
+0x27, 0xCB, 0x09, 0xB7, 0x4F, 0x46, 0x3F, 0x66, 0x9E,
+0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5, 
+0xF1, 0x7B, 0x3D, 0x07, 0x39, 0xF7, 0x8A, 0x52, 0x92,
+0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08, 
+0x56, 0x03, 0x30, 0x46, 0xFC, 0x7B, 0x6B, 0xAB, 0xF0,
+0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3, 
+0x91, 0x61, 0x5E, 0xE6, 0x1B, 0x08, 0x65, 0x99, 0x85,
+0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80, 
+0x4D, 0x73, 0x27, 0x31, 0x06, 0x06, 0x15, 0x56, 0xCA,
+0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B, 
+};
+
+/* This array is like the one in e_rem_pio2.c, but the numbers are
+   single precision and the last 8 bits are forced to 0.  */
+#ifdef __STDC__
+static const int32_t npio2_hw[] = {
+#else
+static int32_t npio2_hw[] = {
+#endif
+0x3fc90f00, 0x40490f00, 0x4096cb00, 0x40c90f00, 0x40fb5300, 0x4116cb00,
+0x412fed00, 0x41490f00, 0x41623100, 0x417b5300, 0x418a3a00, 0x4196cb00,
+0x41a35c00, 0x41afed00, 0x41bc7e00, 0x41c90f00, 0x41d5a000, 0x41e23100,
+0x41eec200, 0x41fb5300, 0x4203f200, 0x420a3a00, 0x42108300, 0x4216cb00,
+0x421d1400, 0x42235c00, 0x4229a500, 0x422fed00, 0x42363600, 0x423c7e00,
+0x4242c700, 0x42490f00
+};
+
+/*
+ * invpio2:  24 bits of 2/pi
+ * pio2_1:   first  17 bit of pi/2
+ * pio2_1t:  pi/2 - pio2_1
+ * pio2_2:   second 17 bit of pi/2
+ * pio2_2t:  pi/2 - (pio2_1+pio2_2)
+ * pio2_3:   third  17 bit of pi/2
+ * pio2_3t:  pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+zero =  0.0000000000e+00, /* 0x00000000 */
+half =  5.0000000000e-01, /* 0x3f000000 */
+two8 =  2.5600000000e+02, /* 0x43800000 */
+invpio2 =  6.3661980629e-01, /* 0x3f22f984 */
+pio2_1  =  1.5707855225e+00, /* 0x3fc90f80 */
+pio2_1t =  1.0804334124e-05, /* 0x37354443 */
+pio2_2  =  1.0804273188e-05, /* 0x37354400 */
+pio2_2t =  6.0770999344e-11, /* 0x2e85a308 */
+pio2_3  =  6.0770943833e-11, /* 0x2e85a300 */
+pio2_3t =  6.1232342629e-17; /* 0x248d3132 */
+
+#ifdef __STDC__
+	int32_t __ieee754_rem_pio2f(float x, float *y)
+#else
+	int32_t __ieee754_rem_pio2f(x,y)
+	float x,y[];
+#endif
+{
+	float z,w,t,r,fn;
+	float tx[3];
+	int32_t e0,i,j,nx,n,ix,hx;
+
+	GET_FLOAT_WORD(hx,x);
+	ix = hx&0x7fffffff;
+	if(ix<=0x3f490fd8)   /* |x| ~<= pi/4 , no need for reduction */
+	    {y[0] = x; y[1] = 0; return 0;}
+	if(ix<0x4016cbe4) {  /* |x| < 3pi/4, special case with n=+-1 */
+	    if(hx>0) { 
+		z = x - pio2_1;
+		if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
+		    y[0] = z - pio2_1t;
+		    y[1] = (z-y[0])-pio2_1t;
+		} else {		/* near pi/2, use 24+24+24 bit pi */
+		    z -= pio2_2;
+		    y[0] = z - pio2_2t;
+		    y[1] = (z-y[0])-pio2_2t;
+		}
+		return 1;
+	    } else {	/* negative x */
+		z = x + pio2_1;
+		if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
+		    y[0] = z + pio2_1t;
+		    y[1] = (z-y[0])+pio2_1t;
+		} else {		/* near pi/2, use 24+24+24 bit pi */
+		    z += pio2_2;
+		    y[0] = z + pio2_2t;
+		    y[1] = (z-y[0])+pio2_2t;
+		}
+		return -1;
+	    }
+	}
+	if(ix<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */
+	    t  = fabsf(x);
+	    n  = (int32_t) (t*invpio2+half);
+	    fn = (float)n;
+	    r  = t-fn*pio2_1;
+	    w  = fn*pio2_1t;	/* 1st round good to 40 bit */
+	    if(n<32&&(ix&0xffffff00)!=npio2_hw[n-1]) {	
+		y[0] = r-w;	/* quick check no cancellation */
+	    } else {
+	        u_int32_t high;
+	        j  = ix>>23;
+	        y[0] = r-w; 
+		GET_FLOAT_WORD(high,y[0]);
+	        i = j-((high>>23)&0xff);
+	        if(i>8) {  /* 2nd iteration needed, good to 57 */
+		    t  = r;
+		    w  = fn*pio2_2;	
+		    r  = t-w;
+		    w  = fn*pio2_2t-((t-r)-w);	
+		    y[0] = r-w;
+		    GET_FLOAT_WORD(high,y[0]);
+		    i = j-((high>>23)&0xff);
+		    if(i>25)  {	/* 3rd iteration need, 74 bits acc */
+		    	t  = r;	/* will cover all possible cases */
+		    	w  = fn*pio2_3;	
+		    	r  = t-w;
+		    	w  = fn*pio2_3t-((t-r)-w);	
+		    	y[0] = r-w;
+		    }
+		}
+	    }
+	    y[1] = (r-y[0])-w;
+	    if(hx<0) 	{y[0] = -y[0]; y[1] = -y[1]; return -n;}
+	    else	 return n;
+	}
+    /* 
+     * all other (large) arguments
+     */
+	if(ix>=0x7f800000) {		/* x is inf or NaN */
+	    y[0]=y[1]=x-x; return 0;
+	}
+    /* set z = scalbn(|x|,ilogb(x)-7) */
+	e0 	= (ix>>23)-134;		/* e0 = ilogb(z)-7; */
+	SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23)));
+	for(i=0;i<2;i++) {
+		tx[i] = (float)((int32_t)(z));
+		z     = (z-tx[i])*two8;
+	}
+	tx[2] = z;
+	nx = 3;
+	while(tx[nx-1]==zero) nx--;	/* skip zero term */
+	n  =  __kernel_rem_pio2f(tx,y,e0,nx,2,two_over_pi);
+	if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+	return n;
+}
--- a/sysdeps/libm-ieee754/e_remainder.c
+++ b/sysdeps/libm-ieee754/e_remainder.c
@ -0,0 +1,80 @@
+/* @(#)e_remainder.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_remainder.c,v 1.8 1995/05/10 20:46:05 jtc Exp $";
+#endif
+
+/* __ieee754_remainder(x,p)
+ * Return :                  
+ * 	returns  x REM p  =  x - [x/p]*p as if in infinite 
+ * 	precise arithmetic, where [x/p] is the (infinite bit) 
+ *	integer nearest x/p (in half way case choose the even one).
+ * Method : 
+ *	Based on fmod() return x-[x/p]chopped*p exactlp.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+
+#ifdef __STDC__
+	double __ieee754_remainder(double x, double p)
+#else
+	double __ieee754_remainder(x,p)
+	double x,p;
+#endif
+{
+	int32_t hx,hp;
+	u_int32_t sx,lx,lp;
+	double p_half;
+
+	EXTRACT_WORDS(hx,lx,x);
+	EXTRACT_WORDS(hp,lp,p);
+	sx = hx&0x80000000;
+	hp &= 0x7fffffff;
+	hx &= 0x7fffffff;
+
+    /* purge off exception values */
+	if((hp|lp)==0) return (x*p)/(x*p); 	/* p = 0 */
+	if((hx>=0x7ff00000)||			/* x not finite */
+	  ((hp>=0x7ff00000)&&			/* p is NaN */
+	  (((hp-0x7ff00000)|lp)!=0)))
+	    return (x*p)/(x*p);
+
+
+	if (hp<=0x7fdfffff) x = __ieee754_fmod(x,p+p);	/* now x < 2p */
+	if (((hx-hp)|(lx-lp))==0) return zero*x;
+	x  = fabs(x);
+	p  = fabs(p);
+	if (hp<0x00200000) {
+	    if(x+x>p) {
+		x-=p;
+		if(x+x>=p) x -= p;
+	    }
+	} else {
+	    p_half = 0.5*p;
+	    if(x>p_half) {
+		x-=p;
+		if(x>=p_half) x -= p;
+	    }
+	}
+	GET_HIGH_WORD(hx,x);
+	SET_HIGH_WORD(x,hx^sx);
+	return x;
+}
--- a/sysdeps/libm-ieee754/e_remainderf.c
+++ b/sysdeps/libm-ieee754/e_remainderf.c
@ -0,0 +1,73 @@
+/* e_remainderf.c -- float version of e_remainder.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_remainderf.c,v 1.4 1995/05/10 20:46:08 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+
+#ifdef __STDC__
+	float __ieee754_remainderf(float x, float p)
+#else
+	float __ieee754_remainderf(x,p)
+	float x,p;
+#endif
+{
+	int32_t hx,hp;
+	u_int32_t sx;
+	float p_half;
+
+	GET_FLOAT_WORD(hx,x);
+	GET_FLOAT_WORD(hp,p);
+	sx = hx&0x80000000;
+	hp &= 0x7fffffff;
+	hx &= 0x7fffffff;
+
+    /* purge off exception values */
+	if(hp==0) return (x*p)/(x*p);	 	/* p = 0 */
+	if((hx>=0x7f800000)||			/* x not finite */
+	  ((hp>0x7f800000)))			/* p is NaN */
+	    return (x*p)/(x*p);
+
+
+	if (hp<=0x7effffff) x = __ieee754_fmodf(x,p+p);	/* now x < 2p */
+	if ((hx-hp)==0) return zero*x;
+	x  = fabsf(x);
+	p  = fabsf(p);
+	if (hp<0x01000000) {
+	    if(x+x>p) {
+		x-=p;
+		if(x+x>=p) x -= p;
+	    }
+	} else {
+	    p_half = (float)0.5*p;
+	    if(x>p_half) {
+		x-=p;
+		if(x>=p_half) x -= p;
+	    }
+	}
+	GET_FLOAT_WORD(hx,x);
+	SET_FLOAT_WORD(x,hx^sx);
+	return x;
+}
--- a/sysdeps/libm-ieee754/e_scalb.c
+++ b/sysdeps/libm-ieee754/e_scalb.c
@ -0,0 +1,55 @@
+/* @(#)e_scalb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_scalb.c,v 1.6 1995/05/10 20:46:09 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_scalb(x, fn) is provide for
+ * passing various standard test suite. One 
+ * should use scalbn() instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef _SCALB_INT
+#ifdef __STDC__
+	double __ieee754_scalb(double x, int fn)
+#else
+	double __ieee754_scalb(x,fn)
+	double x; int fn;
+#endif
+#else
+#ifdef __STDC__
+	double __ieee754_scalb(double x, double fn)
+#else
+	double __ieee754_scalb(x,fn)
+	double x, fn;
+#endif
+#endif
+{
+#ifdef _SCALB_INT
+	return scalbn(x,fn);
+#else
+	if (isnan(x)||isnan(fn)) return x*fn;
+	if (!finite(fn)) {
+	    if(fn>0.0) return x*fn;
+	    else       return x/(-fn);
+	}
+	if (rint(fn)!=fn) return (fn-fn)/(fn-fn);
+	if ( fn > 65000.0) return scalbn(x, 65000);
+	if (-fn > 65000.0) return scalbn(x,-65000);
+	return scalbn(x,(int)fn);
+#endif
+}
--- a/sysdeps/libm-ieee754/e_scalbf.c
+++ b/sysdeps/libm-ieee754/e_scalbf.c
@ -0,0 +1,52 @@
+/* e_scalbf.c -- float version of e_scalb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_scalbf.c,v 1.3 1995/05/10 20:46:12 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef _SCALB_INT
+#ifdef __STDC__
+	float __ieee754_scalbf(float x, int fn)
+#else
+	float __ieee754_scalbf(x,fn)
+	float x; int fn;
+#endif
+#else
+#ifdef __STDC__
+	float __ieee754_scalbf(float x, float fn)
+#else
+	float __ieee754_scalbf(x,fn)
+	float x, fn;
+#endif
+#endif
+{
+#ifdef _SCALB_INT
+	return __scalbnf(x,fn);
+#else
+	if (__isnanf(x)||__isnanf(fn)) return x*fn;
+	if (!__finitef(fn)) {
+	    if(fn>(float)0.0) return x*fn;
+	    else       return x/(-fn);
+	}
+	if (__rintf(fn)!=fn) return (fn-fn)/(fn-fn);
+	if ( fn > (float)65000.0) return __scalbnf(x, 65000);
+	if (-fn > (float)65000.0) return __scalbnf(x,-65000);
+	return __scalbnf(x,(int)fn);
+#endif
+}
--- a/sysdeps/libm-ieee754/e_sinh.c
+++ b/sysdeps/libm-ieee754/e_sinh.c
@ -0,0 +1,86 @@
+/* @(#)e_sinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sinh.c,v 1.7 1995/05/10 20:46:13 jtc Exp $";
+#endif
+
+/* __ieee754_sinh(x)
+ * Method : 
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ *	1. Replace x by |x| (sinh(-x) = -sinh(x)). 
+ *	2. 
+ *		                                    E + E/(E+1)
+ *	    0        <= x <= 22     :  sinh(x) := --------------, E=expm1(x)
+ *			       			        2
+ *
+ *	    22       <= x <= lnovft :  sinh(x) := exp(x)/2 
+ *	    lnovft   <= x <= ln2ovft:  sinh(x) := exp(x/2)/2 * exp(x/2)
+ *	    ln2ovft  <  x	    :  sinh(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ *	sinh(x) is |x| if x is +INF, -INF, or NaN.
+ *	only sinh(0)=0 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, shuge = 1.0e307;
+#else
+static double one = 1.0, shuge = 1.0e307;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_sinh(double x)
+#else
+	double __ieee754_sinh(x)
+	double x;
+#endif
+{	
+	double t,w,h;
+	int32_t ix,jx;
+	u_int32_t lx;
+
+    /* High word of |x|. */
+	GET_HIGH_WORD(jx,x);
+	ix = jx&0x7fffffff;
+
+    /* x is INF or NaN */
+	if(ix>=0x7ff00000) return x+x;	
+
+	h = 0.5;
+	if (jx<0) h = -h;
+    /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+	if (ix < 0x40360000) {		/* |x|<22 */
+	    if (ix<0x3e300000) 		/* |x|<2**-28 */
+		if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+	    t = __expm1(fabs(x));
+	    if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
+	    return h*(t+t/(t+one));
+	}
+
+    /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+	if (ix < 0x40862E42)  return h*__ieee754_exp(fabs(x));
+
+    /* |x| in [log(maxdouble), overflowthresold] */
+	GET_LOW_WORD(lx,x);
+	if (ix<0x408633CE || (ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d)) {
+	    w = __ieee754_exp(0.5*fabs(x));
+	    t = h*w;
+	    return t*w;
+	}
+
+    /* |x| > overflowthresold, sinh(x) overflow */
+	return x*shuge;
+}
--- a/sysdeps/libm-ieee754/e_sinhf.c
+++ b/sysdeps/libm-ieee754/e_sinhf.c
@ -0,0 +1,68 @@
+/* e_sinhf.c -- float version of e_sinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sinhf.c,v 1.4 1995/05/10 20:46:15 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, shuge = 1.0e37;
+#else
+static float one = 1.0, shuge = 1.0e37;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_sinhf(float x)
+#else
+	float __ieee754_sinhf(x)
+	float x;
+#endif
+{	
+	float t,w,h;
+	int32_t ix,jx;
+
+	GET_FLOAT_WORD(jx,x);
+	ix = jx&0x7fffffff;
+
+    /* x is INF or NaN */
+	if(ix>=0x7f800000) return x+x;	
+
+	h = 0.5;
+	if (jx<0) h = -h;
+    /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+	if (ix < 0x41b00000) {		/* |x|<22 */
+	    if (ix<0x31800000) 		/* |x|<2**-28 */
+		if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+	    t = __expm1f(fabsf(x));
+	    if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
+	    return h*(t+t/(t+one));
+	}
+
+    /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+	if (ix < 0x42b17180)  return h*__ieee754_expf(fabsf(x));
+
+    /* |x| in [log(maxdouble), overflowthresold] */
+	if (ix<=0x42b2d4fc) {
+	    w = __ieee754_expf((float)0.5*fabsf(x));
+	    t = h*w;
+	    return t*w;
+	}
+
+    /* |x| > overflowthresold, sinh(x) overflow */
+	return x*shuge;
+}
--- a/sysdeps/libm-ieee754/e_sqrt.c
+++ b/sysdeps/libm-ieee754/e_sqrt.c
@ -0,0 +1,453 @@
+/* @(#)e_sqrt.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sqrt.c,v 1.8 1995/05/10 20:46:17 jtc Exp $";
+#endif
+
+/* __ieee754_sqrt(x)
+ * Return correctly rounded sqrt.
+ *           ------------------------------------------
+ *	     |  Use the hardware sqrt if you have one |
+ *           ------------------------------------------
+ * Method: 
+ *   Bit by bit method using integer arithmetic. (Slow, but portable) 
+ *   1. Normalization
+ *	Scale x to y in [1,4) with even powers of 2: 
+ *	find an integer k such that  1 <= (y=x*2^(2k)) < 4, then
+ *		sqrt(x) = 2^k * sqrt(y)
+ *   2. Bit by bit computation
+ *	Let q  = sqrt(y) truncated to i bit after binary point (q = 1),
+ *	     i							 0
+ *                                     i+1         2
+ *	    s  = 2*q , and	y  =  2   * ( y - q  ).		(1)
+ *	     i      i            i                 i
+ *                                                        
+ *	To compute q    from q , one checks whether 
+ *		    i+1       i                       
+ *
+ *			      -(i+1) 2
+ *			(q + 2      ) <= y.			(2)
+ *     			  i
+ *							      -(i+1)
+ *	If (2) is false, then q   = q ; otherwise q   = q  + 2      .
+ *		 	       i+1   i             i+1   i
+ *
+ *	With some algebric manipulation, it is not difficult to see
+ *	that (2) is equivalent to 
+ *                             -(i+1)
+ *			s  +  2       <= y			(3)
+ *			 i                i
+ *
+ *	The advantage of (3) is that s  and y  can be computed by 
+ *				      i      i
+ *	the following recurrence formula:
+ *	    if (3) is false
+ *
+ *	    s     =  s  ,	y    = y   ;			(4)
+ *	     i+1      i		 i+1    i
+ *
+ *	    otherwise,
+ *                         -i                     -(i+1)
+ *	    s	  =  s  + 2  ,  y    = y  -  s  - 2  		(5)
+ *           i+1      i          i+1    i     i
+ *				
+ *	One may easily use induction to prove (4) and (5). 
+ *	Note. Since the left hand side of (3) contain only i+2 bits,
+ *	      it does not necessary to do a full (53-bit) comparison 
+ *	      in (3).
+ *   3. Final rounding
+ *	After generating the 53 bits result, we compute one more bit.
+ *	Together with the remainder, we can decide whether the
+ *	result is exact, bigger than 1/2ulp, or less than 1/2ulp
+ *	(it will never equal to 1/2ulp).
+ *	The rounding mode can be detected by checking whether
+ *	huge + tiny is equal to huge, and whether huge - tiny is
+ *	equal to huge for some floating point number "huge" and "tiny".
+ *		
+ * Special cases:
+ *	sqrt(+-0) = +-0 	... exact
+ *	sqrt(inf) = inf
+ *	sqrt(-ve) = NaN		... with invalid signal
+ *	sqrt(NaN) = NaN		... with invalid signal for signaling NaN
+ *
+ * Other methods : see the appended file at the end of the program below.
+ *---------------
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static	const double	one	= 1.0, tiny=1.0e-300;
+#else
+static	double	one	= 1.0, tiny=1.0e-300;
+#endif
+
+#ifdef __STDC__
+	double __ieee754_sqrt(double x)
+#else
+	double __ieee754_sqrt(x)
+	double x;
+#endif
+{
+	double z;
+	int32_t sign = (int)0x80000000; 
+	int32_t ix0,s0,q,m,t,i;
+	u_int32_t r,t1,s1,ix1,q1;
+
+	EXTRACT_WORDS(ix0,ix1,x);
+
+    /* take care of Inf and NaN */
+	if((ix0&0x7ff00000)==0x7ff00000) {			
+	    return x*x+x;		/* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+					   sqrt(-inf)=sNaN */
+	} 
+    /* take care of zero */
+	if(ix0<=0) {
+	    if(((ix0&(~sign))|ix1)==0) return x;/* sqrt(+-0) = +-0 */
+	    else if(ix0<0)
+		return (x-x)/(x-x);		/* sqrt(-ve) = sNaN */
+	}
+    /* normalize x */
+	m = (ix0>>20);
+	if(m==0) {				/* subnormal x */
+	    while(ix0==0) {
+		m -= 21;
+		ix0 |= (ix1>>11); ix1 <<= 21;
+	    }
+	    for(i=0;(ix0&0x00100000)==0;i++) ix0<<=1;
+	    m -= i-1;
+	    ix0 |= (ix1>>(32-i));
+	    ix1 <<= i;
+	}
+	m -= 1023;	/* unbias exponent */
+	ix0 = (ix0&0x000fffff)|0x00100000;
+	if(m&1){	/* odd m, double x to make it even */
+	    ix0 += ix0 + ((ix1&sign)>>31);
+	    ix1 += ix1;
+	}
+	m >>= 1;	/* m = [m/2] */
+
+    /* generate sqrt(x) bit by bit */
+	ix0 += ix0 + ((ix1&sign)>>31);
+	ix1 += ix1;
+	q = q1 = s0 = s1 = 0;	/* [q,q1] = sqrt(x) */
+	r = 0x00200000;		/* r = moving bit from right to left */
+
+	while(r!=0) {
+	    t = s0+r; 
+	    if(t<=ix0) { 
+		s0   = t+r; 
+		ix0 -= t; 
+		q   += r; 
+	    } 
+	    ix0 += ix0 + ((ix1&sign)>>31);
+	    ix1 += ix1;
+	    r>>=1;
+	}
+
+	r = sign;
+	while(r!=0) {
+	    t1 = s1+r; 
+	    t  = s0;
+	    if((t<ix0)||((t==ix0)&&(t1<=ix1))) { 
+		s1  = t1+r;
+		if(((t1&sign)==sign)&&(s1&sign)==0) s0 += 1;
+		ix0 -= t;
+		if (ix1 < t1) ix0 -= 1;
+		ix1 -= t1;
+		q1  += r;
+	    }
+	    ix0 += ix0 + ((ix1&sign)>>31);
+	    ix1 += ix1;
+	    r>>=1;
+	}
+
+    /* use floating add to find out rounding direction */
+	if((ix0|ix1)!=0) {
+	    z = one-tiny; /* trigger inexact flag */
+	    if (z>=one) {
+	        z = one+tiny;
+	        if (q1==(u_int32_t)0xffffffff) { q1=0; q += 1;}
+		else if (z>one) {
+		    if (q1==(u_int32_t)0xfffffffe) q+=1;
+		    q1+=2; 
+		} else
+	            q1 += (q1&1);
+	    }
+	}
+	ix0 = (q>>1)+0x3fe00000;
+	ix1 =  q1>>1;
+	if ((q&1)==1) ix1 |= sign;
+	ix0 += (m <<20);
+	INSERT_WORDS(z,ix0,ix1);
+	return z;
+}
+
+/*
+Other methods  (use floating-point arithmetic)
+-------------
+(This is a copy of a drafted paper by Prof W. Kahan 
+and K.C. Ng, written in May, 1986)
+
+	Two algorithms are given here to implement sqrt(x) 
+	(IEEE double precision arithmetic) in software.
+	Both supply sqrt(x) correctly rounded. The first algorithm (in
+	Section A) uses newton iterations and involves four divisions.
+	The second one uses reciproot iterations to avoid division, but
+	requires more multiplications. Both algorithms need the ability
+	to chop results of arithmetic operations instead of round them, 
+	and the INEXACT flag to indicate when an arithmetic operation
+	is executed exactly with no roundoff error, all part of the 
+	standard (IEEE 754-1985). The ability to perform shift, add,
+	subtract and logical AND operations upon 32-bit words is needed
+	too, though not part of the standard.
+
+A.  sqrt(x) by Newton Iteration
+
+   (1)	Initial approximation
+
+	Let x0 and x1 be the leading and the trailing 32-bit words of
+	a floating point number x (in IEEE double format) respectively 
+
+	    1    11		     52				  ...widths
+	   ------------------------------------------------------
+	x: |s|	  e     |	      f				|
+	   ------------------------------------------------------
+	      msb    lsb  msb				      lsb ...order
+
+ 
+	     ------------------------  	     ------------------------
+	x0:  |s|   e    |    f1     |	 x1: |          f2           |
+	     ------------------------  	     ------------------------
+
+	By performing shifts and subtracts on x0 and x1 (both regarded
+	as integers), we obtain an 8-bit approximation of sqrt(x) as
+	follows.
+
+		k  := (x0>>1) + 0x1ff80000;
+		y0 := k - T1[31&(k>>15)].	... y ~ sqrt(x) to 8 bits
+	Here k is a 32-bit integer and T1[] is an integer array containing
+	correction terms. Now magically the floating value of y (y's
+	leading 32-bit word is y0, the value of its trailing word is 0)
+	approximates sqrt(x) to almost 8-bit.
+
+	Value of T1:
+	static int T1[32]= {
+	0,	1024,	3062,	5746,	9193,	13348,	18162,	23592,
+	29598,	36145,	43202,	50740,	58733,	67158,	75992,	85215,
+	83599,	71378,	60428,	50647,	41945,	34246,	27478,	21581,
+	16499,	12183,	8588,	5674,	3403,	1742,	661,	130,};
+
+    (2)	Iterative refinement
+
+	Apply Heron's rule three times to y, we have y approximates 
+	sqrt(x) to within 1 ulp (Unit in the Last Place):
+
+		y := (y+x/y)/2		... almost 17 sig. bits
+		y := (y+x/y)/2		... almost 35 sig. bits
+		y := y-(y-x/y)/2	... within 1 ulp
+
+
+	Remark 1.
+	    Another way to improve y to within 1 ulp is:
+
+		y := (y+x/y)		... almost 17 sig. bits to 2*sqrt(x)
+		y := y - 0x00100006	... almost 18 sig. bits to sqrt(x)
+
+				2
+			    (x-y )*y
+		y := y + 2* ----------	...within 1 ulp
+			       2
+			     3y  + x
+
+
+	This formula has one division fewer than the one above; however,
+	it requires more multiplications and additions. Also x must be
+	scaled in advance to avoid spurious overflow in evaluating the
+	expression 3y*y+x. Hence it is not recommended uless division
+	is slow. If division is very slow, then one should use the 
+	reciproot algorithm given in section B.
+
+    (3) Final adjustment
+
+	By twiddling y's last bit it is possible to force y to be 
+	correctly rounded according to the prevailing rounding mode
+	as follows. Let r and i be copies of the rounding mode and
+	inexact flag before entering the square root program. Also we
+	use the expression y+-ulp for the next representable floating
+	numbers (up and down) of y. Note that y+-ulp = either fixed
+	point y+-1, or multiply y by nextafter(1,+-inf) in chopped
+	mode.
+
+		I := FALSE;	... reset INEXACT flag I
+		R := RZ;	... set rounding mode to round-toward-zero
+		z := x/y;	... chopped quotient, possibly inexact
+		If(not I) then {	... if the quotient is exact
+		    if(z=y) {
+		        I := i;	 ... restore inexact flag
+		        R := r;  ... restore rounded mode
+		        return sqrt(x):=y.
+		    } else {
+			z := z - ulp;	... special rounding
+		    }
+		}
+		i := TRUE;		... sqrt(x) is inexact
+		If (r=RN) then z=z+ulp	... rounded-to-nearest
+		If (r=RP) then {	... round-toward-+inf
+		    y = y+ulp; z=z+ulp;
+		}
+		y := y+z;		... chopped sum
+		y0:=y0-0x00100000;	... y := y/2 is correctly rounded.
+	        I := i;	 		... restore inexact flag
+	        R := r;  		... restore rounded mode
+	        return sqrt(x):=y.
+		    
+    (4)	Special cases
+
+	Square root of +inf, +-0, or NaN is itself;
+	Square root of a negative number is NaN with invalid signal.
+
+
+B.  sqrt(x) by Reciproot Iteration
+
+   (1)	Initial approximation
+
+	Let x0 and x1 be the leading and the trailing 32-bit words of
+	a floating point number x (in IEEE double format) respectively
+	(see section A). By performing shifs and subtracts on x0 and y0,
+	we obtain a 7.8-bit approximation of 1/sqrt(x) as follows.
+
+	    k := 0x5fe80000 - (x0>>1);
+	    y0:= k - T2[63&(k>>14)].	... y ~ 1/sqrt(x) to 7.8 bits
+
+	Here k is a 32-bit integer and T2[] is an integer array 
+	containing correction terms. Now magically the floating
+	value of y (y's leading 32-bit word is y0, the value of
+	its trailing word y1 is set to zero) approximates 1/sqrt(x)
+	to almost 7.8-bit.
+
+	Value of T2:
+	static int T2[64]= {
+	0x1500,	0x2ef8,	0x4d67,	0x6b02,	0x87be,	0xa395,	0xbe7a,	0xd866,
+	0xf14a,	0x1091b,0x11fcd,0x13552,0x14999,0x15c98,0x16e34,0x17e5f,
+	0x18d03,0x19a01,0x1a545,0x1ae8a,0x1b5c4,0x1bb01,0x1bfde,0x1c28d,
+	0x1c2de,0x1c0db,0x1ba73,0x1b11c,0x1a4b5,0x1953d,0x18266,0x16be0,
+	0x1683e,0x179d8,0x18a4d,0x19992,0x1a789,0x1b445,0x1bf61,0x1c989,
+	0x1d16d,0x1d77b,0x1dddf,0x1e2ad,0x1e5bf,0x1e6e8,0x1e654,0x1e3cd,
+	0x1df2a,0x1d635,0x1cb16,0x1be2c,0x1ae4e,0x19bde,0x1868e,0x16e2e,
+	0x1527f,0x1334a,0x11051,0xe951,	0xbe01,	0x8e0d,	0x5924,	0x1edd,};
+
+    (2)	Iterative refinement
+
+	Apply Reciproot iteration three times to y and multiply the
+	result by x to get an approximation z that matches sqrt(x)
+	to about 1 ulp. To be exact, we will have 
+		-1ulp < sqrt(x)-z<1.0625ulp.
+	
+	... set rounding mode to Round-to-nearest
+	   y := y*(1.5-0.5*x*y*y)	... almost 15 sig. bits to 1/sqrt(x)
+	   y := y*((1.5-2^-30)+0.5*x*y*y)... about 29 sig. bits to 1/sqrt(x)
+	... special arrangement for better accuracy
+	   z := x*y			... 29 bits to sqrt(x), with z*y<1
+	   z := z + 0.5*z*(1-z*y)	... about 1 ulp to sqrt(x)
+
+	Remark 2. The constant 1.5-2^-30 is chosen to bias the error so that
+	(a) the term z*y in the final iteration is always less than 1; 
+	(b) the error in the final result is biased upward so that
+		-1 ulp < sqrt(x) - z < 1.0625 ulp
+	    instead of |sqrt(x)-z|<1.03125ulp.
+
+    (3)	Final adjustment
+
+	By twiddling y's last bit it is possible to force y to be 
+	correctly rounded according to the prevailing rounding mode
+	as follows. Let r and i be copies of the rounding mode and
+	inexact flag before entering the square root program. Also we
+	use the expression y+-ulp for the next representable floating
+	numbers (up and down) of y. Note that y+-ulp = either fixed
+	point y+-1, or multiply y by nextafter(1,+-inf) in chopped
+	mode.
+
+	R := RZ;		... set rounding mode to round-toward-zero
+	switch(r) {
+	    case RN:		... round-to-nearest
+	       if(x<= z*(z-ulp)...chopped) z = z - ulp; else
+	       if(x<= z*(z+ulp)...chopped) z = z; else z = z+ulp;
+	       break;
+	    case RZ:case RM:	... round-to-zero or round-to--inf
+	       R:=RP;		... reset rounding mod to round-to-+inf
+	       if(x<z*z ... rounded up) z = z - ulp; else
+	       if(x>=(z+ulp)*(z+ulp) ...rounded up) z = z+ulp;
+	       break;
+	    case RP:		... round-to-+inf
+	       if(x>(z+ulp)*(z+ulp)...chopped) z = z+2*ulp; else
+	       if(x>z*z ...chopped) z = z+ulp;
+	       break;
+	}
+
+	Remark 3. The above comparisons can be done in fixed point. For
+	example, to compare x and w=z*z chopped, it suffices to compare
+	x1 and w1 (the trailing parts of x and w), regarding them as
+	two's complement integers.
+
+	...Is z an exact square root?
+	To determine whether z is an exact square root of x, let z1 be the
+	trailing part of z, and also let x0 and x1 be the leading and
+	trailing parts of x.
+
+	If ((z1&0x03ffffff)!=0)	... not exact if trailing 26 bits of z!=0
+	    I := 1;		... Raise Inexact flag: z is not exact
+	else {
+	    j := 1 - [(x0>>20)&1]	... j = logb(x) mod 2
+	    k := z1 >> 26;		... get z's 25-th and 26-th 
+					    fraction bits
+	    I := i or (k&j) or ((k&(j+j+1))!=(x1&3));
+	}
+	R:= r		... restore rounded mode
+	return sqrt(x):=z.
+
+	If multiplication is cheaper then the foregoing red tape, the 
+	Inexact flag can be evaluated by
+
+	    I := i;
+	    I := (z*z!=x) or I.
+
+	Note that z*z can overwrite I; this value must be sensed if it is 
+	True.
+
+	Remark 4. If z*z = x exactly, then bit 25 to bit 0 of z1 must be
+	zero.
+
+		    --------------------
+		z1: |        f2        | 
+		    --------------------
+		bit 31		   bit 0
+
+	Further more, bit 27 and 26 of z1, bit 0 and 1 of x1, and the odd
+	or even of logb(x) have the following relations:
+
+	-------------------------------------------------
+	bit 27,26 of z1		bit 1,0 of x1	logb(x)
+	-------------------------------------------------
+	00			00		odd and even
+	01			01		even
+	10			10		odd
+	10			00		even
+	11			01		even
+	-------------------------------------------------
+
+    (4)	Special cases (see (4) of Section A).	
+ 
+ */
+ 
--- a/sysdeps/libm-ieee754/e_sqrtf.c
+++ b/sysdeps/libm-ieee754/e_sqrtf.c
@ -0,0 +1,97 @@
+/* e_sqrtf.c -- float version of e_sqrt.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sqrtf.c,v 1.4 1995/05/10 20:46:19 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static	const float	one	= 1.0, tiny=1.0e-30;
+#else
+static	float	one	= 1.0, tiny=1.0e-30;
+#endif
+
+#ifdef __STDC__
+	float __ieee754_sqrtf(float x)
+#else
+	float __ieee754_sqrtf(x)
+	float x;
+#endif
+{
+	float z;
+	int32_t sign = (int)0x80000000; 
+	int32_t ix,s,q,m,t,i;
+	u_int32_t r;
+
+	GET_FLOAT_WORD(ix,x);
+
+    /* take care of Inf and NaN */
+	if((ix&0x7f800000)==0x7f800000) {			
+	    return x*x+x;		/* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+					   sqrt(-inf)=sNaN */
+	} 
+    /* take care of zero */
+	if(ix<=0) {
+	    if((ix&(~sign))==0) return x;/* sqrt(+-0) = +-0 */
+	    else if(ix<0)
+		return (x-x)/(x-x);		/* sqrt(-ve) = sNaN */
+	}
+    /* normalize x */
+	m = (ix>>23);
+	if(m==0) {				/* subnormal x */
+	    for(i=0;(ix&0x00800000)==0;i++) ix<<=1;
+	    m -= i-1;
+	}
+	m -= 127;	/* unbias exponent */
+	ix = (ix&0x007fffff)|0x00800000;
+	if(m&1)	/* odd m, double x to make it even */
+	    ix += ix;
+	m >>= 1;	/* m = [m/2] */
+
+    /* generate sqrt(x) bit by bit */
+	ix += ix;
+	q = s = 0;		/* q = sqrt(x) */
+	r = 0x01000000;		/* r = moving bit from right to left */
+
+	while(r!=0) {
+	    t = s+r; 
+	    if(t<=ix) { 
+		s    = t+r; 
+		ix  -= t; 
+		q   += r; 
+	    } 
+	    ix += ix;
+	    r>>=1;
+	}
+
+    /* use floating add to find out rounding direction */
+	if(ix!=0) {
+	    z = one-tiny; /* trigger inexact flag */
+	    if (z>=one) {
+	        z = one+tiny;
+		if (z>one)
+		    q += 2;
+		else
+		    q += (q&1);
+	    }
+	}
+	ix = (q>>1)+0x3f000000;
+	ix += (m <<23);
+	SET_FLOAT_WORD(z,ix);
+	return z;
+}
--- a/sysdeps/libm-ieee754/k_cos.c
+++ b/sysdeps/libm-ieee754/k_cos.c
@ -0,0 +1,96 @@
+/* @(#)k_cos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_cos.c,v 1.8 1995/05/10 20:46:22 jtc Exp $";
+#endif
+
+/*
+ * __kernel_cos( x,  y )
+ * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x. 
+ *
+ * Algorithm
+ *	1. Since cos(-x) = cos(x), we need only to consider positive x.
+ *	2. if x < 2^-27 (hx<0x3e400000 0), return 1 with inexact if x!=0.
+ *	3. cos(x) is approximated by a polynomial of degree 14 on
+ *	   [0,pi/4]
+ *		  	                 4            14
+ *	   	cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x
+ *	   where the remez error is
+ *	
+ * 	|              2     4     6     8     10    12     14 |     -58
+ * 	|cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x  +C6*x  )| <= 2
+ * 	|    					               | 
+ * 
+ * 	               4     6     8     10    12     14 
+ *	4. let r = C1*x +C2*x +C3*x +C4*x +C5*x  +C6*x  , then
+ *	       cos(x) = 1 - x*x/2 + r
+ *	   since cos(x+y) ~ cos(x) - sin(x)*y 
+ *			  ~ cos(x) - x*y,
+ *	   a correction term is necessary in cos(x) and hence
+ *		cos(x+y) = 1 - (x*x/2 - (r - x*y))
+ *	   For better accuracy when x > 0.3, let qx = |x|/4 with
+ *	   the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125.
+ *	   Then
+ *		cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)).
+ *	   Note that 1-qx and (x*x/2-qx) is EXACT here, and the
+ *	   magnitude of the latter is at least a quarter of x*x/2,
+ *	   thus, reducing the rounding error in the subtraction.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double 
+#else
+static double 
+#endif
+one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+C1  =  4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
+C2  = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
+C3  =  2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
+C4  = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
+C5  =  2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
+C6  = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */
+
+#ifdef __STDC__
+	double __kernel_cos(double x, double y)
+#else
+	double __kernel_cos(x, y)
+	double x,y;
+#endif
+{
+	double a,hz,z,r,qx;
+	int32_t ix;
+	GET_HIGH_WORD(ix,x);
+	ix &= 0x7fffffff;			/* ix = |x|'s high word*/
+	if(ix<0x3e400000) {			/* if x < 2**27 */
+	    if(((int)x)==0) return one;		/* generate inexact */
+	}
+	z  = x*x;
+	r  = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+	if(ix < 0x3FD33333) 			/* if |x| < 0.3 */ 
+	    return one - (0.5*z - (z*r - x*y));
+	else {
+	    if(ix > 0x3fe90000) {		/* x > 0.78125 */
+		qx = 0.28125;
+	    } else {
+	        INSERT_WORDS(qx,ix-0x00200000,0);	/* x/4 */
+	    }
+	    hz = 0.5*z-qx;
+	    a  = one-qx;
+	    return a - (hz - (z*r-x*y));
+	}
+}
--- a/sysdeps/libm-ieee754/k_cosf.c
+++ b/sysdeps/libm-ieee754/k_cosf.c
@ -0,0 +1,64 @@
+/* k_cosf.c -- float version of k_cos.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_cosf.c,v 1.4 1995/05/10 20:46:23 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float 
+#else
+static float 
+#endif
+one =  1.0000000000e+00, /* 0x3f800000 */
+C1  =  4.1666667908e-02, /* 0x3d2aaaab */
+C2  = -1.3888889225e-03, /* 0xbab60b61 */
+C3  =  2.4801587642e-05, /* 0x37d00d01 */
+C4  = -2.7557314297e-07, /* 0xb493f27c */
+C5  =  2.0875723372e-09, /* 0x310f74f6 */
+C6  = -1.1359647598e-11; /* 0xad47d74e */
+
+#ifdef __STDC__
+	float __kernel_cosf(float x, float y)
+#else
+	float __kernel_cosf(x, y)
+	float x,y;
+#endif
+{
+	float a,hz,z,r,qx;
+	int32_t ix;
+	GET_FLOAT_WORD(ix,x);
+	ix &= 0x7fffffff;			/* ix = |x|'s high word*/
+	if(ix<0x32000000) {			/* if x < 2**27 */
+	    if(((int)x)==0) return one;		/* generate inexact */
+	}
+	z  = x*x;
+	r  = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+	if(ix < 0x3e99999a) 			/* if |x| < 0.3 */ 
+	    return one - ((float)0.5*z - (z*r - x*y));
+	else {
+	    if(ix > 0x3f480000) {		/* x > 0.78125 */
+		qx = (float)0.28125;
+	    } else {
+	        SET_FLOAT_WORD(qx,ix-0x01000000);	/* x/4 */
+	    }
+	    hz = (float)0.5*z-qx;
+	    a  = one-qx;
+	    return a - (hz - (z*r-x*y));
+	}
+}
--- a/sysdeps/libm-ieee754/k_rem_pio2.c
+++ b/sysdeps/libm-ieee754/k_rem_pio2.c
@ -0,0 +1,320 @@
+/* @(#)k_rem_pio2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_rem_pio2.c,v 1.7 1995/05/10 20:46:25 jtc Exp $";
+#endif
+
+/*
+ * __kernel_rem_pio2(x,y,e0,nx,prec,ipio2)
+ * double x[],y[]; int e0,nx,prec; int ipio2[];
+ * 
+ * __kernel_rem_pio2 return the last three digits of N with 
+ *		y = x - N*pi/2
+ * so that |y| < pi/2.
+ *
+ * The method is to compute the integer (mod 8) and fraction parts of 
+ * (2/pi)*x without doing the full multiplication. In general we
+ * skip the part of the product that are known to be a huge integer (
+ * more accurately, = 0 mod 8 ). Thus the number of operations are
+ * independent of the exponent of the input.
+ *
+ * (2/pi) is represented by an array of 24-bit integers in ipio2[].
+ *
+ * Input parameters:
+ * 	x[]	The input value (must be positive) is broken into nx 
+ *		pieces of 24-bit integers in double precision format.
+ *		x[i] will be the i-th 24 bit of x. The scaled exponent 
+ *		of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 
+ *		match x's up to 24 bits.
+ *
+ *		Example of breaking a double positive z into x[0]+x[1]+x[2]:
+ *			e0 = ilogb(z)-23
+ *			z  = scalbn(z,-e0)
+ *		for i = 0,1,2
+ *			x[i] = floor(z)
+ *			z    = (z-x[i])*2**24
+ *
+ *
+ *	y[]	ouput result in an array of double precision numbers.
+ *		The dimension of y[] is:
+ *			24-bit  precision	1
+ *			53-bit  precision	2
+ *			64-bit  precision	2
+ *			113-bit precision	3
+ *		The actual value is the sum of them. Thus for 113-bit
+ *		precison, one may have to do something like:
+ *
+ *		long double t,w,r_head, r_tail;
+ *		t = (long double)y[2] + (long double)y[1];
+ *		w = (long double)y[0];
+ *		r_head = t+w;
+ *		r_tail = w - (r_head - t);
+ *
+ *	e0	The exponent of x[0]
+ *
+ *	nx	dimension of x[]
+ *
+ *  	prec	an integer indicating the precision:
+ *			0	24  bits (single)
+ *			1	53  bits (double)
+ *			2	64  bits (extended)
+ *			3	113 bits (quad)
+ *
+ *	ipio2[]
+ *		integer array, contains the (24*i)-th to (24*i+23)-th 
+ *		bit of 2/pi after binary point. The corresponding 
+ *		floating value is
+ *
+ *			ipio2[i] * 2^(-24(i+1)).
+ *
+ * External function:
+ *	double scalbn(), floor();
+ *
+ *
+ * Here is the description of some local variables:
+ *
+ * 	jk	jk+1 is the initial number of terms of ipio2[] needed
+ *		in the computation. The recommended value is 2,3,4,
+ *		6 for single, double, extended,and quad.
+ *
+ * 	jz	local integer variable indicating the number of 
+ *		terms of ipio2[] used. 
+ *
+ *	jx	nx - 1
+ *
+ *	jv	index for pointing to the suitable ipio2[] for the
+ *		computation. In general, we want
+ *			( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8
+ *		is an integer. Thus
+ *			e0-3-24*jv >= 0 or (e0-3)/24 >= jv
+ *		Hence jv = max(0,(e0-3)/24).
+ *
+ *	jp	jp+1 is the number of terms in PIo2[] needed, jp = jk.
+ *
+ * 	q[]	double array with integral value, representing the
+ *		24-bits chunk of the product of x and 2/pi.
+ *
+ *	q0	the corresponding exponent of q[0]. Note that the
+ *		exponent for q[i] would be q0-24*i.
+ *
+ *	PIo2[]	double precision array, obtained by cutting pi/2
+ *		into 24 bits chunks. 
+ *
+ *	f[]	ipio2[] in floating point 
+ *
+ *	iq[]	integer array by breaking up q[] in 24-bits chunk.
+ *
+ *	fq[]	final product of x*(2/pi) in fq[0],..,fq[jk]
+ *
+ *	ih	integer. If >0 it indicates q[] is >= 0.5, hence
+ *		it also indicates the *sign* of the result.
+ *
+ */
+
+
+/*
+ * Constants:
+ * The hexadecimal values are the intended ones for the following 
+ * constants. The decimal values may be used, provided that the 
+ * compiler will convert from decimal to binary accurately enough 
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const int init_jk[] = {2,3,4,6}; /* initial value for jk */
+#else
+static int init_jk[] = {2,3,4,6}; 
+#endif
+
+#ifdef __STDC__
+static const double PIo2[] = {
+#else
+static double PIo2[] = {
+#endif
+  1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */
+  7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */
+  5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */
+  3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */
+  1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */
+  1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */
+  2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */
+  2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */
+};
+
+#ifdef __STDC__
+static const double			
+#else
+static double			
+#endif
+zero   = 0.0,
+one    = 1.0,
+two24   =  1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+twon24  =  5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
+
+#ifdef __STDC__
+	int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2) 
+#else
+	int __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) 	
+	double x[], y[]; int e0,nx,prec; int32_t ipio2[];
+#endif
+{
+	int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
+	double z,fw,f[20],fq[20],q[20];
+
+    /* initialize jk*/
+	jk = init_jk[prec];
+	jp = jk;
+
+    /* determine jx,jv,q0, note that 3>q0 */
+	jx =  nx-1;
+	jv = (e0-3)/24; if(jv<0) jv=0;
+	q0 =  e0-24*(jv+1);
+
+    /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
+	j = jv-jx; m = jx+jk;
+	for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (double) ipio2[j];
+
+    /* compute q[0],q[1],...q[jk] */
+	for (i=0;i<=jk;i++) {
+	    for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
+	}
+
+	jz = jk;
+recompute:
+    /* distill q[] into iq[] reversingly */
+	for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
+	    fw    =  (double)((int32_t)(twon24* z));
+	    iq[i] =  (int32_t)(z-two24*fw);
+	    z     =  q[j-1]+fw;
+	}
+
+    /* compute n */
+	z  = __scalbn(z,q0);		/* actual value of z */
+	z -= 8.0*__floor(z*0.125);		/* trim off integer >= 8 */
+	n  = (int32_t) z;
+	z -= (double)n;
+	ih = 0;
+	if(q0>0) {	/* need iq[jz-1] to determine n */
+	    i  = (iq[jz-1]>>(24-q0)); n += i;
+	    iq[jz-1] -= i<<(24-q0);
+	    ih = iq[jz-1]>>(23-q0);
+	} 
+	else if(q0==0) ih = iq[jz-1]>>23;
+	else if(z>=0.5) ih=2;
+
+	if(ih>0) {	/* q > 0.5 */
+	    n += 1; carry = 0;
+	    for(i=0;i<jz ;i++) {	/* compute 1-q */
+		j = iq[i];
+		if(carry==0) {
+		    if(j!=0) {
+			carry = 1; iq[i] = 0x1000000- j;
+		    }
+		} else  iq[i] = 0xffffff - j;
+	    }
+	    if(q0>0) {		/* rare case: chance is 1 in 12 */
+	        switch(q0) {
+	        case 1:
+	    	   iq[jz-1] &= 0x7fffff; break;
+	    	case 2:
+	    	   iq[jz-1] &= 0x3fffff; break;
+	        }
+	    }
+	    if(ih==2) {
+		z = one - z;
+		if(carry!=0) z -= __scalbn(one,q0);
+	    }
+	}
+
+    /* check if recomputation is needed */
+	if(z==zero) {
+	    j = 0;
+	    for (i=jz-1;i>=jk;i--) j |= iq[i];
+	    if(j==0) { /* need recomputation */
+		for(k=1;iq[jk-k]==0;k++);   /* k = no. of terms needed */
+
+		for(i=jz+1;i<=jz+k;i++) {   /* add q[jz+1] to q[jz+k] */
+		    f[jx+i] = (double) ipio2[jv+i];
+		    for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
+		    q[i] = fw;
+		}
+		jz += k;
+		goto recompute;
+	    }
+	}
+
+    /* chop off zero terms */
+	if(z==0.0) {
+	    jz -= 1; q0 -= 24;
+	    while(iq[jz]==0) { jz--; q0-=24;}
+	} else { /* break z into 24-bit if necessary */
+	    z = __scalbn(z,-q0);
+	    if(z>=two24) { 
+		fw = (double)((int32_t)(twon24*z));
+		iq[jz] = (int32_t)(z-two24*fw);
+		jz += 1; q0 += 24;
+		iq[jz] = (int32_t) fw;
+	    } else iq[jz] = (int32_t) z ;
+	}
+
+    /* convert integer "bit" chunk to floating-point value */
+	fw = __scalbn(one,q0);
+	for(i=jz;i>=0;i--) {
+	    q[i] = fw*(double)iq[i]; fw*=twon24;
+	}
+
+    /* compute PIo2[0,...,jp]*q[jz,...,0] */
+	for(i=jz;i>=0;i--) {
+	    for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
+	    fq[jz-i] = fw;
+	}
+
+    /* compress fq[] into y[] */
+	switch(prec) {
+	    case 0:
+		fw = 0.0;
+		for (i=jz;i>=0;i--) fw += fq[i];
+		y[0] = (ih==0)? fw: -fw; 
+		break;
+	    case 1:
+	    case 2:
+		fw = 0.0;
+		for (i=jz;i>=0;i--) fw += fq[i]; 
+		y[0] = (ih==0)? fw: -fw; 
+		fw = fq[0]-fw;
+		for (i=1;i<=jz;i++) fw += fq[i];
+		y[1] = (ih==0)? fw: -fw; 
+		break;
+	    case 3:	/* painful */
+		for (i=jz;i>0;i--) {
+		    fw      = fq[i-1]+fq[i]; 
+		    fq[i]  += fq[i-1]-fw;
+		    fq[i-1] = fw;
+		}
+		for (i=jz;i>1;i--) {
+		    fw      = fq[i-1]+fq[i]; 
+		    fq[i]  += fq[i-1]-fw;
+		    fq[i-1] = fw;
+		}
+		for (fw=0.0,i=jz;i>=2;i--) fw += fq[i]; 
+		if(ih==0) {
+		    y[0] =  fq[0]; y[1] =  fq[1]; y[2] =  fw;
+		} else {
+		    y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
+		}
+	}
+	return n&7;
+}
--- a/sysdeps/libm-ieee754/k_rem_pio2f.c
+++ b/sysdeps/libm-ieee754/k_rem_pio2f.c
@ -0,0 +1,213 @@
+/* k_rem_pio2f.c -- float version of k_rem_pio2.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_rem_pio2f.c,v 1.4 1995/05/10 20:46:28 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* In the float version, the input parameter x contains 8 bit
+   integers, not 24 bit integers.  113 bit precision is not supported.  */
+
+#ifdef __STDC__
+static const int init_jk[] = {4,7,9}; /* initial value for jk */
+#else
+static int init_jk[] = {4,7,9}; 
+#endif
+
+#ifdef __STDC__
+static const float PIo2[] = {
+#else
+static float PIo2[] = {
+#endif
+  1.5703125000e+00, /* 0x3fc90000 */
+  4.5776367188e-04, /* 0x39f00000 */
+  2.5987625122e-05, /* 0x37da0000 */
+  7.5437128544e-08, /* 0x33a20000 */
+  6.0026650317e-11, /* 0x2e840000 */
+  7.3896444519e-13, /* 0x2b500000 */
+  5.3845816694e-15, /* 0x27c20000 */
+  5.6378512969e-18, /* 0x22d00000 */
+  8.3009228831e-20, /* 0x1fc40000 */
+  3.2756352257e-22, /* 0x1bc60000 */
+  6.3331015649e-25, /* 0x17440000 */
+};
+
+#ifdef __STDC__
+static const float			
+#else
+static float			
+#endif
+zero   = 0.0,
+one    = 1.0,
+two8   =  2.5600000000e+02, /* 0x43800000 */
+twon8  =  3.9062500000e-03; /* 0x3b800000 */
+
+#ifdef __STDC__
+	int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const int32_t *ipio2) 
+#else
+	int __kernel_rem_pio2f(x,y,e0,nx,prec,ipio2) 	
+	float x[], y[]; int e0,nx,prec; int32_t ipio2[];
+#endif
+{
+	int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
+	float z,fw,f[20],fq[20],q[20];
+
+    /* initialize jk*/
+	jk = init_jk[prec];
+	jp = jk;
+
+    /* determine jx,jv,q0, note that 3>q0 */
+	jx =  nx-1;
+	jv = (e0-3)/8; if(jv<0) jv=0;
+	q0 =  e0-8*(jv+1);
+
+    /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
+	j = jv-jx; m = jx+jk;
+	for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (float) ipio2[j];
+
+    /* compute q[0],q[1],...q[jk] */
+	for (i=0;i<=jk;i++) {
+	    for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
+	}
+
+	jz = jk;
+recompute:
+    /* distill q[] into iq[] reversingly */
+	for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
+	    fw    =  (float)((int32_t)(twon8* z));
+	    iq[i] =  (int32_t)(z-two8*fw);
+	    z     =  q[j-1]+fw;
+	}
+
+    /* compute n */
+	z  = __scalbnf(z,q0);		/* actual value of z */
+	z -= (float)8.0*__floorf(z*(float)0.125);	/* trim off integer >= 8 */
+	n  = (int32_t) z;
+	z -= (float)n;
+	ih = 0;
+	if(q0>0) {	/* need iq[jz-1] to determine n */
+	    i  = (iq[jz-1]>>(8-q0)); n += i;
+	    iq[jz-1] -= i<<(8-q0);
+	    ih = iq[jz-1]>>(7-q0);
+	} 
+	else if(q0==0) ih = iq[jz-1]>>8;
+	else if(z>=(float)0.5) ih=2;
+
+	if(ih>0) {	/* q > 0.5 */
+	    n += 1; carry = 0;
+	    for(i=0;i<jz ;i++) {	/* compute 1-q */
+		j = iq[i];
+		if(carry==0) {
+		    if(j!=0) {
+			carry = 1; iq[i] = 0x100- j;
+		    }
+		} else  iq[i] = 0xff - j;
+	    }
+	    if(q0>0) {		/* rare case: chance is 1 in 12 */
+	        switch(q0) {
+	        case 1:
+	    	   iq[jz-1] &= 0x7f; break;
+	    	case 2:
+	    	   iq[jz-1] &= 0x3f; break;
+	        }
+	    }
+	    if(ih==2) {
+		z = one - z;
+		if(carry!=0) z -= __scalbnf(one,q0);
+	    }
+	}
+
+    /* check if recomputation is needed */
+	if(z==zero) {
+	    j = 0;
+	    for (i=jz-1;i>=jk;i--) j |= iq[i];
+	    if(j==0) { /* need recomputation */
+		for(k=1;iq[jk-k]==0;k++);   /* k = no. of terms needed */
+
+		for(i=jz+1;i<=jz+k;i++) {   /* add q[jz+1] to q[jz+k] */
+		    f[jx+i] = (float) ipio2[jv+i];
+		    for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
+		    q[i] = fw;
+		}
+		jz += k;
+		goto recompute;
+	    }
+	}
+
+    /* chop off zero terms */
+	if(z==(float)0.0) {
+	    jz -= 1; q0 -= 8;
+	    while(iq[jz]==0) { jz--; q0-=8;}
+	} else { /* break z into 8-bit if necessary */
+	    z = __scalbnf(z,-q0);
+	    if(z>=two8) { 
+		fw = (float)((int32_t)(twon8*z));
+		iq[jz] = (int32_t)(z-two8*fw);
+		jz += 1; q0 += 8;
+		iq[jz] = (int32_t) fw;
+	    } else iq[jz] = (int32_t) z ;
+	}
+
+    /* convert integer "bit" chunk to floating-point value */
+	fw = __scalbnf(one,q0);
+	for(i=jz;i>=0;i--) {
+	    q[i] = fw*(float)iq[i]; fw*=twon8;
+	}
+
+    /* compute PIo2[0,...,jp]*q[jz,...,0] */
+	for(i=jz;i>=0;i--) {
+	    for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
+	    fq[jz-i] = fw;
+	}
+
+    /* compress fq[] into y[] */
+	switch(prec) {
+	    case 0:
+		fw = 0.0;
+		for (i=jz;i>=0;i--) fw += fq[i];
+		y[0] = (ih==0)? fw: -fw; 
+		break;
+	    case 1:
+	    case 2:
+		fw = 0.0;
+		for (i=jz;i>=0;i--) fw += fq[i]; 
+		y[0] = (ih==0)? fw: -fw; 
+		fw = fq[0]-fw;
+		for (i=1;i<=jz;i++) fw += fq[i];
+		y[1] = (ih==0)? fw: -fw; 
+		break;
+	    case 3:	/* painful */
+		for (i=jz;i>0;i--) {
+		    fw      = fq[i-1]+fq[i]; 
+		    fq[i]  += fq[i-1]-fw;
+		    fq[i-1] = fw;
+		}
+		for (i=jz;i>1;i--) {
+		    fw      = fq[i-1]+fq[i]; 
+		    fq[i]  += fq[i-1]-fw;
+		    fq[i-1] = fw;
+		}
+		for (fw=0.0,i=jz;i>=2;i--) fw += fq[i]; 
+		if(ih==0) {
+		    y[0] =  fq[0]; y[1] =  fq[1]; y[2] =  fw;
+		} else {
+		    y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
+		}
+	}
+	return n&7;
+}
--- a/Show More
+++ b/Show More