/* A GNU-like <math.h>.

   Copyright (C) 2002-2003, 2007-2011 Free Software Foundation, Inc.

   This program is free software: you can redistribute it and/or modify
   it under the terms of the GNU General Public License as published by
   the Free Software Foundation; either version 3 of the License, or
   (at your option) any later version.

   This program 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 General Public License for more details.

   You should have received a copy of the GNU General Public License
   along with this program.  If not, see <http://www.gnu.org/licenses/>.  */

#ifndef _GL_MATH_H

#if __GNUC__ >= 3
@PRAGMA_SYSTEM_HEADER@
#endif
@PRAGMA_COLUMNS@

/* The include_next requires a split double-inclusion guard.  */
#@INCLUDE_NEXT_AS_FIRST_DIRECTIVE@ @NEXT_AS_FIRST_DIRECTIVE_MATH_H@

#ifndef _GL_MATH_H
#define _GL_MATH_H


/* The definitions of _GL_FUNCDECL_RPL etc. are copied here.  */

/* The definition of _GL_ARG_NONNULL is copied here.  */

/* The definition of _GL_WARN_ON_USE is copied here.  */

/* Helper macros to define a portability warning for the
   classification macro FUNC called with VALUE.  POSIX declares the
   classification macros with an argument of real-floating (that is,
   one of float, double, or long double).  */
#define _GL_WARN_REAL_FLOATING_DECL(func) \
static inline int                                                   \
rpl_ ## func ## f (float f)                                         \
{                                                                   \
  return func (f);                                                  \
}                                                                   \
static inline int                                                   \
rpl_ ## func ## d (double d)                                        \
{                                                                   \
  return func (d);                                                  \
}                                                                   \
static inline int                                                   \
rpl_ ## func ## l (long double l)                                   \
{                                                                   \
  return func (l);                                                  \
}                                                                   \
_GL_WARN_ON_USE (rpl_ ## func ## f, #func " is unportable - "       \
                 "use gnulib module " #func " for portability");    \
_GL_WARN_ON_USE (rpl_ ## func ## d, #func " is unportable - "       \
                 "use gnulib module " #func " for portability");    \
_GL_WARN_ON_USE (rpl_ ## func ## l, #func " is unportable - "       \
                 "use gnulib module " #func " for portability")
#define _GL_WARN_REAL_FLOATING_IMPL(func, value) \
  (sizeof (value) == sizeof (float) ? rpl_ ## func ## f (value)     \
   : sizeof (value) == sizeof (double) ? rpl_ ## func ## d (value)  \
   : rpl_ ## func ## l (value))


/* POSIX allows platforms that don't support NAN.  But all major
   machines in the past 15 years have supported something close to
   IEEE NaN, so we define this unconditionally.  We also must define
   it on platforms like Solaris 10, where NAN is present but defined
   as a function pointer rather than a floating point constant.  */
#if !defined NAN || @REPLACE_NAN@
# if !GNULIB_defined_NAN
#  undef NAN
  /* The Compaq (ex-DEC) C 6.4 compiler chokes on the expression 0.0 / 0.0.  */
#  ifdef __DECC
static float
_NaN ()
{
  static float zero = 0.0f;
  return zero / zero;
}
#   define NAN (_NaN())
#  else
#   define NAN (0.0f / 0.0f)
#  endif
#  define GNULIB_defined_NAN 1
# endif
#endif

/* Solaris 10 defines HUGE_VAL, but as a function pointer rather
   than a floating point constant.  */
#if @REPLACE_HUGE_VAL@
# undef HUGE_VAL
# define HUGE_VAL (1.0 / 0.0)
#endif


/* Write x as
     x = mantissa * 2^exp
   where
     If x finite and nonzero: 0.5 <= |mantissa| < 1.0.
     If x is zero: mantissa = x, exp = 0.
     If x is infinite or NaN: mantissa = x, exp unspecified.
   Store exp in *EXPPTR and return mantissa.  */
#if @GNULIB_FREXP@
# if @REPLACE_FREXP@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define frexp rpl_frexp
#  endif
_GL_FUNCDECL_RPL (frexp, double, (double x, int *expptr) _GL_ARG_NONNULL ((2)));
_GL_CXXALIAS_RPL (frexp, double, (double x, int *expptr));
# else
_GL_CXXALIAS_SYS (frexp, double, (double x, int *expptr));
# endif
_GL_CXXALIASWARN (frexp);
#elif defined GNULIB_POSIXCHECK
# undef frexp
/* Assume frexp is always declared.  */
_GL_WARN_ON_USE (frexp, "frexp is unportable - "
                 "use gnulib module frexp for portability");
#endif


#if @GNULIB_LOGB@
# if !@HAVE_DECL_LOGB@
_GL_EXTERN_C double logb (double x);
# endif
#elif defined GNULIB_POSIXCHECK
# undef logb
# if HAVE_RAW_DECL_LOGB
_GL_WARN_ON_USE (logb, "logb is unportable - "
                 "use gnulib module logb for portability");
# endif
#endif


#if @GNULIB_ACOSL@
# if !@HAVE_ACOSL@ || !@HAVE_DECL_ACOSL@
_GL_FUNCDECL_SYS (acosl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (acosl, long double, (long double x));
_GL_CXXALIASWARN (acosl);
#elif defined GNULIB_POSIXCHECK
# undef acosl
# if HAVE_RAW_DECL_ACOSL
_GL_WARN_ON_USE (acosl, "acosl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_ASINL@
# if !@HAVE_ASINL@ || !@HAVE_DECL_ASINL@
_GL_FUNCDECL_SYS (asinl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (asinl, long double, (long double x));
_GL_CXXALIASWARN (asinl);
#elif defined GNULIB_POSIXCHECK
# undef asinl
# if HAVE_RAW_DECL_ASINL
_GL_WARN_ON_USE (asinl, "asinl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_ATANL@
# if !@HAVE_ATANL@ || !@HAVE_DECL_ATANL@
_GL_FUNCDECL_SYS (atanl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (atanl, long double, (long double x));
_GL_CXXALIASWARN (atanl);
#elif defined GNULIB_POSIXCHECK
# undef atanl
# if HAVE_RAW_DECL_ATANL
_GL_WARN_ON_USE (atanl, "atanl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_CEILF@
# if @REPLACE_CEILF@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define ceilf rpl_ceilf
#  endif
_GL_FUNCDECL_RPL (ceilf, float, (float x));
_GL_CXXALIAS_RPL (ceilf, float, (float x));
# else
#  if !@HAVE_DECL_CEILF@
_GL_FUNCDECL_SYS (ceilf, float, (float x));
#  endif
_GL_CXXALIAS_SYS (ceilf, float, (float x));
# endif
_GL_CXXALIASWARN (ceilf);
#elif defined GNULIB_POSIXCHECK
# undef ceilf
# if HAVE_RAW_DECL_CEILF
_GL_WARN_ON_USE (ceilf, "ceilf is unportable - "
                 "use gnulib module ceilf for portability");
# endif
#endif

#if @GNULIB_CEIL@
# if @REPLACE_CEIL@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define ceil rpl_ceil
#  endif
_GL_FUNCDECL_RPL (ceil, double, (double x));
_GL_CXXALIAS_RPL (ceil, double, (double x));
# else
_GL_CXXALIAS_SYS (ceil, double, (double x));
# endif
_GL_CXXALIASWARN (ceil);
#endif

#if @GNULIB_CEILL@
# if @REPLACE_CEILL@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define ceill rpl_ceill
#  endif
_GL_FUNCDECL_RPL (ceill, long double, (long double x));
_GL_CXXALIAS_RPL (ceill, long double, (long double x));
# else
#  if !@HAVE_DECL_CEILL@
_GL_FUNCDECL_SYS (ceill, long double, (long double x));
#  endif
_GL_CXXALIAS_SYS (ceill, long double, (long double x));
# endif
_GL_CXXALIASWARN (ceill);
#elif defined GNULIB_POSIXCHECK
# undef ceill
# if HAVE_RAW_DECL_CEILL
_GL_WARN_ON_USE (ceill, "ceill is unportable - "
                 "use gnulib module ceill for portability");
# endif
#endif


#if @GNULIB_COSL@
# if !@HAVE_COSL@ || !@HAVE_DECL_COSL@
_GL_FUNCDECL_SYS (cosl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (cosl, long double, (long double x));
_GL_CXXALIASWARN (cosl);
#elif defined GNULIB_POSIXCHECK
# undef cosl
# if HAVE_RAW_DECL_COSL
_GL_WARN_ON_USE (cosl, "cosl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_EXPL@
# if !@HAVE_EXPL@ || !@HAVE_DECL_EXPL@
_GL_FUNCDECL_SYS (expl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (expl, long double, (long double x));
_GL_CXXALIASWARN (expl);
#elif defined GNULIB_POSIXCHECK
# undef expl
# if HAVE_RAW_DECL_EXPL
_GL_WARN_ON_USE (expl, "expl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_FLOORF@
# if @REPLACE_FLOORF@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define floorf rpl_floorf
#  endif
_GL_FUNCDECL_RPL (floorf, float, (float x));
_GL_CXXALIAS_RPL (floorf, float, (float x));
# else
#  if !@HAVE_DECL_FLOORF@
_GL_FUNCDECL_SYS (floorf, float, (float x));
#  endif
_GL_CXXALIAS_SYS (floorf, float, (float x));
# endif
_GL_CXXALIASWARN (floorf);
#elif defined GNULIB_POSIXCHECK
# undef floorf
# if HAVE_RAW_DECL_FLOORF
_GL_WARN_ON_USE (floorf, "floorf is unportable - "
                 "use gnulib module floorf for portability");
# endif
#endif

#if @GNULIB_FLOOR@
# if @REPLACE_FLOOR@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define floor rpl_floor
#  endif
_GL_FUNCDECL_RPL (floor, double, (double x));
_GL_CXXALIAS_RPL (floor, double, (double x));
# else
_GL_CXXALIAS_SYS (floor, double, (double x));
# endif
_GL_CXXALIASWARN (floor);
#endif

#if @GNULIB_FLOORL@
# if @REPLACE_FLOORL@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define floorl rpl_floorl
#  endif
_GL_FUNCDECL_RPL (floorl, long double, (long double x));
_GL_CXXALIAS_RPL (floorl, long double, (long double x));
# else
#  if !@HAVE_DECL_FLOORL@
_GL_FUNCDECL_SYS (floorl, long double, (long double x));
#  endif
_GL_CXXALIAS_SYS (floorl, long double, (long double x));
# endif
_GL_CXXALIASWARN (floorl);
#elif defined GNULIB_POSIXCHECK
# undef floorl
# if HAVE_RAW_DECL_FLOORL
_GL_WARN_ON_USE (floorl, "floorl is unportable - "
                 "use gnulib module floorl for portability");
# endif
#endif


/* Write x as
     x = mantissa * 2^exp
   where
     If x finite and nonzero: 0.5 <= |mantissa| < 1.0.
     If x is zero: mantissa = x, exp = 0.
     If x is infinite or NaN: mantissa = x, exp unspecified.
   Store exp in *EXPPTR and return mantissa.  */
#if @GNULIB_FREXPL@ && @REPLACE_FREXPL@
# if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#  define frexpl rpl_frexpl
# endif
_GL_FUNCDECL_RPL (frexpl, long double,
                  (long double x, int *expptr) _GL_ARG_NONNULL ((2)));
_GL_CXXALIAS_RPL (frexpl, long double, (long double x, int *expptr));
#else
# if !@HAVE_DECL_FREXPL@
_GL_FUNCDECL_SYS (frexpl, long double,
                  (long double x, int *expptr) _GL_ARG_NONNULL ((2)));
# endif
# if @GNULIB_FREXPL@
_GL_CXXALIAS_SYS (frexpl, long double, (long double x, int *expptr));
# endif
#endif
#if @GNULIB_FREXPL@ && !(@REPLACE_FREXPL@ && !@HAVE_DECL_FREXPL@)
_GL_CXXALIASWARN (frexpl);
#endif
#if !@GNULIB_FREXPL@ && defined GNULIB_POSIXCHECK
# undef frexpl
# if HAVE_RAW_DECL_FREXPL
_GL_WARN_ON_USE (frexpl, "frexpl is unportable - "
                 "use gnulib module frexpl for portability");
# endif
#endif


/* Return x * 2^exp.  */
#if @GNULIB_LDEXPL@ && @REPLACE_LDEXPL@
# if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#  define ldexpl rpl_ldexpl
# endif
_GL_FUNCDECL_RPL (ldexpl, long double, (long double x, int exp));
_GL_CXXALIAS_RPL (ldexpl, long double, (long double x, int exp));
#else
# if !@HAVE_DECL_LDEXPL@
_GL_FUNCDECL_SYS (ldexpl, long double, (long double x, int exp));
# endif
# if @GNULIB_LDEXPL@
_GL_CXXALIAS_SYS (ldexpl, long double, (long double x, int exp));
# endif
#endif
#if @GNULIB_LDEXPL@
_GL_CXXALIASWARN (ldexpl);
#endif
#if !@GNULIB_LDEXPL@ && defined GNULIB_POSIXCHECK
# undef ldexpl
# if HAVE_RAW_DECL_LDEXPL
_GL_WARN_ON_USE (ldexpl, "ldexpl is unportable - "
                 "use gnulib module ldexpl for portability");
# endif
#endif


#if @GNULIB_LOGL@
# if !@HAVE_LOGL@ || !@HAVE_DECL_LOGL@
_GL_FUNCDECL_SYS (logl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (logl, long double, (long double x));
_GL_CXXALIASWARN (logl);
#elif defined GNULIB_POSIXCHECK
# undef logl
# if HAVE_RAW_DECL_LOGL
_GL_WARN_ON_USE (logl, "logl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_ROUNDF@
# if @REPLACE_ROUNDF@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   undef roundf
#   define roundf rpl_roundf
#  endif
_GL_FUNCDECL_RPL (roundf, float, (float x));
_GL_CXXALIAS_RPL (roundf, float, (float x));
# else
#  if !@HAVE_DECL_ROUNDF@
_GL_FUNCDECL_SYS (roundf, float, (float x));
#  endif
_GL_CXXALIAS_SYS (roundf, float, (float x));
# endif
_GL_CXXALIASWARN (roundf);
#elif defined GNULIB_POSIXCHECK
# undef roundf
# if HAVE_RAW_DECL_ROUNDF
_GL_WARN_ON_USE (roundf, "roundf is unportable - "
                 "use gnulib module roundf for portability");
# endif
#endif

#if @GNULIB_ROUND@
# if @REPLACE_ROUND@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   undef round
#   define round rpl_round
#  endif
_GL_FUNCDECL_RPL (round, double, (double x));
_GL_CXXALIAS_RPL (round, double, (double x));
# else
#  if !@HAVE_DECL_ROUND@
_GL_FUNCDECL_SYS (round, double, (double x));
#  endif
_GL_CXXALIAS_SYS (round, double, (double x));
# endif
_GL_CXXALIASWARN (round);
#elif defined GNULIB_POSIXCHECK
# undef round
# if HAVE_RAW_DECL_ROUND
_GL_WARN_ON_USE (round, "round is unportable - "
                 "use gnulib module round for portability");
# endif
#endif

#if @GNULIB_ROUNDL@
# if @REPLACE_ROUNDL@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   undef roundl
#   define roundl rpl_roundl
#  endif
_GL_FUNCDECL_RPL (roundl, long double, (long double x));
_GL_CXXALIAS_RPL (roundl, long double, (long double x));
# else
#  if !@HAVE_DECL_ROUNDL@
_GL_FUNCDECL_SYS (roundl, long double, (long double x));
#  endif
_GL_CXXALIAS_SYS (roundl, long double, (long double x));
# endif
_GL_CXXALIASWARN (roundl);
#elif defined GNULIB_POSIXCHECK
# undef roundl
# if HAVE_RAW_DECL_ROUNDL
_GL_WARN_ON_USE (roundl, "roundl is unportable - "
                 "use gnulib module roundl for portability");
# endif
#endif


#if @GNULIB_SINL@
# if !@HAVE_SINL@ || !@HAVE_DECL_SINL@
_GL_FUNCDECL_SYS (sinl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (sinl, long double, (long double x));
_GL_CXXALIASWARN (sinl);
#elif defined GNULIB_POSIXCHECK
# undef sinl
# if HAVE_RAW_DECL_SINL
_GL_WARN_ON_USE (sinl, "sinl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_SQRTL@
# if !@HAVE_SQRTL@ || !@HAVE_DECL_SQRTL@
_GL_FUNCDECL_SYS (sqrtl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (sqrtl, long double, (long double x));
_GL_CXXALIASWARN (sqrtl);
#elif defined GNULIB_POSIXCHECK
# undef sqrtl
# if HAVE_RAW_DECL_SQRTL
_GL_WARN_ON_USE (sqrtl, "sqrtl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_TANL@
# if !@HAVE_TANL@ || !@HAVE_DECL_TANL@
_GL_FUNCDECL_SYS (tanl, long double, (long double x));
# endif
_GL_CXXALIAS_SYS (tanl, long double, (long double x));
_GL_CXXALIASWARN (tanl);
#elif defined GNULIB_POSIXCHECK
# undef tanl
# if HAVE_RAW_DECL_TANL
_GL_WARN_ON_USE (tanl, "tanl is unportable - "
                 "use gnulib module mathl for portability");
# endif
#endif


#if @GNULIB_TRUNCF@
# if @REPLACE_TRUNCF@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define truncf rpl_truncf
#  endif
_GL_FUNCDECL_RPL (truncf, float, (float x));
_GL_CXXALIAS_RPL (truncf, float, (float x));
# else
#  if !@HAVE_DECL_TRUNCF@
_GL_FUNCDECL_SYS (truncf, float, (float x));
#  endif
_GL_CXXALIAS_SYS (truncf, float, (float x));
# endif
_GL_CXXALIASWARN (truncf);
#elif defined GNULIB_POSIXCHECK
# undef truncf
# if HAVE_RAW_DECL_TRUNCF
_GL_WARN_ON_USE (truncf, "truncf is unportable - "
                 "use gnulib module truncf for portability");
# endif
#endif

#if @GNULIB_TRUNC@
# if @REPLACE_TRUNC@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   define trunc rpl_trunc
#  endif
_GL_FUNCDECL_RPL (trunc, double, (double x));
_GL_CXXALIAS_RPL (trunc, double, (double x));
# else
#  if !@HAVE_DECL_TRUNC@
_GL_FUNCDECL_SYS (trunc, double, (double x));
#  endif
_GL_CXXALIAS_SYS (trunc, double, (double x));
# endif
_GL_CXXALIASWARN (trunc);
#elif defined GNULIB_POSIXCHECK
# undef trunc
# if HAVE_RAW_DECL_TRUNC
_GL_WARN_ON_USE (trunc, "trunc is unportable - "
                 "use gnulib module trunc for portability");
# endif
#endif

#if @GNULIB_TRUNCL@
# if @REPLACE_TRUNCL@
#  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
#   undef truncl
#   define truncl rpl_truncl
#  endif
_GL_FUNCDECL_RPL (truncl, long double, (long double x));
_GL_CXXALIAS_RPL (truncl, long double, (long double x));
# else
#  if !@HAVE_DECL_TRUNCL@
_GL_FUNCDECL_SYS (truncl, long double, (long double x));
#  endif
_GL_CXXALIAS_SYS (truncl, long double, (long double x));
# endif
_GL_CXXALIASWARN (truncl);
#elif defined GNULIB_POSIXCHECK
# undef truncl
# if HAVE_RAW_DECL_TRUNCL
_GL_WARN_ON_USE (truncl, "truncl is unportable - "
                 "use gnulib module truncl for portability");
# endif
#endif


#if @GNULIB_ISFINITE@
# if @REPLACE_ISFINITE@
_GL_EXTERN_C int gl_isfinitef (float x);
_GL_EXTERN_C int gl_isfinited (double x);
_GL_EXTERN_C int gl_isfinitel (long double x);
#  undef isfinite
#  define isfinite(x) \
   (sizeof (x) == sizeof (long double) ? gl_isfinitel (x) : \
    sizeof (x) == sizeof (double) ? gl_isfinited (x) : \
    gl_isfinitef (x))
# endif
#elif defined GNULIB_POSIXCHECK
# if defined isfinite
_GL_WARN_REAL_FLOATING_DECL (isfinite);
#  undef isfinite
#  define isfinite(x) _GL_WARN_REAL_FLOATING_IMPL (isfinite, x)
# endif
#endif


#if @GNULIB_ISINF@
# if @REPLACE_ISINF@
_GL_EXTERN_C int gl_isinff (float x);
_GL_EXTERN_C int gl_isinfd (double x);
_GL_EXTERN_C int gl_isinfl (long double x);
#  undef isinf
#  define isinf(x) \
   (sizeof (x) == sizeof (long double) ? gl_isinfl (x) : \
    sizeof (x) == sizeof (double) ? gl_isinfd (x) : \
    gl_isinff (x))
# endif
#elif defined GNULIB_POSIXCHECK
# if defined isinf
_GL_WARN_REAL_FLOATING_DECL (isinf);
#  undef isinf
#  define isinf(x) _GL_WARN_REAL_FLOATING_IMPL (isinf, x)
# endif
#endif


#if @GNULIB_ISNANF@
/* Test for NaN for 'float' numbers.  */
# if @HAVE_ISNANF@
/* The original <math.h> included above provides a declaration of isnan macro
   or (older) isnanf function.  */
#  if __GNUC__ >= 4
    /* GCC 4.0 and newer provides three built-ins for isnan.  */
#   undef isnanf
#   define isnanf(x) __builtin_isnanf ((float)(x))
#  elif defined isnan
#   undef isnanf
#   define isnanf(x) isnan ((float)(x))
#  endif
# else
/* Test whether X is a NaN.  */
#  undef isnanf
#  define isnanf rpl_isnanf
_GL_EXTERN_C int isnanf (float x);
# endif
#endif

#if @GNULIB_ISNAND@
/* Test for NaN for 'double' numbers.
   This function is a gnulib extension, unlike isnan() which applied only
   to 'double' numbers earlier but now is a type-generic macro.  */
# if @HAVE_ISNAND@
/* The original <math.h> included above provides a declaration of isnan
   macro.  */
#  if __GNUC__ >= 4
    /* GCC 4.0 and newer provides three built-ins for isnan.  */
#   undef isnand
#   define isnand(x) __builtin_isnan ((double)(x))
#  else
#   undef isnand
#   define isnand(x) isnan ((double)(x))
#  endif
# else
/* Test whether X is a NaN.  */
#  undef isnand
#  define isnand rpl_isnand
_GL_EXTERN_C int isnand (double x);
# endif
#endif

#if @GNULIB_ISNANL@
/* Test for NaN for 'long double' numbers.  */
# if @HAVE_ISNANL@
/* The original <math.h> included above provides a declaration of isnan
   macro or (older) isnanl function.  */
#  if __GNUC__ >= 4
    /* GCC 4.0 and newer provides three built-ins for isnan.  */
#   undef isnanl
#   define isnanl(x) __builtin_isnanl ((long double)(x))
#  elif defined isnan
#   undef isnanl
#   define isnanl(x) isnan ((long double)(x))
#  endif
# else
/* Test whether X is a NaN.  */
#  undef isnanl
#  define isnanl rpl_isnanl
_GL_EXTERN_C int isnanl (long double x);
# endif
#endif

/* This must come *after* the snippets for GNULIB_ISNANF and GNULIB_ISNANL!  */
#if @GNULIB_ISNAN@
# if @REPLACE_ISNAN@
/* We can't just use the isnanf macro (e.g.) as exposed by
   isnanf.h (e.g.) here, because those may end up being macros
   that recursively expand back to isnan.  So use the gnulib
   replacements for them directly. */
#  if @HAVE_ISNANF@ && __GNUC__ >= 4
#   define gl_isnan_f(x) __builtin_isnanf ((float)(x))
#  else
_GL_EXTERN_C int rpl_isnanf (float x);
#   define gl_isnan_f(x) rpl_isnanf (x)
#  endif
#  if @HAVE_ISNAND@ && __GNUC__ >= 4
#   define gl_isnan_d(x) __builtin_isnan ((double)(x))
#  else
_GL_EXTERN_C int rpl_isnand (double x);
#   define gl_isnan_d(x) rpl_isnand (x)
#  endif
#  if @HAVE_ISNANL@ && __GNUC__ >= 4
#   define gl_isnan_l(x) __builtin_isnanl ((long double)(x))
#  else
_GL_EXTERN_C int rpl_isnanl (long double x);
#   define gl_isnan_l(x) rpl_isnanl (x)
#  endif
#  undef isnan
#  define isnan(x) \
   (sizeof (x) == sizeof (long double) ? gl_isnan_l (x) : \
    sizeof (x) == sizeof (double) ? gl_isnan_d (x) : \
    gl_isnan_f (x))
# elif __GNUC__ >= 4
#  undef isnan
#  define isnan(x) \
   (sizeof (x) == sizeof (long double) ? __builtin_isnanl ((long double)(x)) : \
    sizeof (x) == sizeof (double) ? __builtin_isnan ((double)(x)) : \
    __builtin_isnanf ((float)(x)))
# endif
/* Ensure isnan is a macro.  */
# ifndef isnan
#  define isnan isnan
# endif
#elif defined GNULIB_POSIXCHECK
# if defined isnan
_GL_WARN_REAL_FLOATING_DECL (isnan);
#  undef isnan
#  define isnan(x) _GL_WARN_REAL_FLOATING_IMPL (isnan, x)
# endif
#endif


#if @GNULIB_SIGNBIT@
# if @REPLACE_SIGNBIT_USING_GCC@
#  undef signbit
   /* GCC 4.0 and newer provides three built-ins for signbit.  */
#  define signbit(x) \
   (sizeof (x) == sizeof (long double) ? __builtin_signbitl (x) : \
    sizeof (x) == sizeof (double) ? __builtin_signbit (x) : \
    __builtin_signbitf (x))
# endif
# if @REPLACE_SIGNBIT@
#  undef signbit
_GL_EXTERN_C int gl_signbitf (float arg);
_GL_EXTERN_C int gl_signbitd (double arg);
_GL_EXTERN_C int gl_signbitl (long double arg);
#  if __GNUC__ >= 2 && !__STRICT_ANSI__
#   define _GL_NUM_UINT_WORDS(type) \
      ((sizeof (type) + sizeof (unsigned int) - 1) / sizeof (unsigned int))
#   if defined FLT_SIGNBIT_WORD && defined FLT_SIGNBIT_BIT && !defined gl_signbitf
#    define gl_signbitf_OPTIMIZED_MACRO
#    define gl_signbitf(arg) \
       ({ union { float _value;                                         \
                  unsigned int _word[_GL_NUM_UINT_WORDS (float)];       \
                } _m;                                                   \
          _m._value = (arg);                                            \
          (_m._word[FLT_SIGNBIT_WORD] >> FLT_SIGNBIT_BIT) & 1;          \
        })
#   endif
#   if defined DBL_SIGNBIT_WORD && defined DBL_SIGNBIT_BIT && !defined gl_signbitd
#    define gl_signbitd_OPTIMIZED_MACRO
#    define gl_signbitd(arg) \
       ({ union { double _value;                                        \
                  unsigned int _word[_GL_NUM_UINT_WORDS (double)];      \
                } _m;                                                   \
          _m._value = (arg);                                            \
          (_m._word[DBL_SIGNBIT_WORD] >> DBL_SIGNBIT_BIT) & 1;          \
        })
#   endif
#   if defined LDBL_SIGNBIT_WORD && defined LDBL_SIGNBIT_BIT && !defined gl_signbitl
#    define gl_signbitl_OPTIMIZED_MACRO
#    define gl_signbitl(arg) \
       ({ union { long double _value;                                   \
                  unsigned int _word[_GL_NUM_UINT_WORDS (long double)]; \
                } _m;                                                   \
          _m._value = (arg);                                            \
          (_m._word[LDBL_SIGNBIT_WORD] >> LDBL_SIGNBIT_BIT) & 1;        \
        })
#   endif
#  endif
#  define signbit(x) \
   (sizeof (x) == sizeof (long double) ? gl_signbitl (x) : \
    sizeof (x) == sizeof (double) ? gl_signbitd (x) : \
    gl_signbitf (x))
# endif
#elif defined GNULIB_POSIXCHECK
# if defined signbit
_GL_WARN_REAL_FLOATING_DECL (signbit);
#  undef signbit
#  define signbit(x) _GL_WARN_REAL_FLOATING_IMPL (signbit, x)
# endif
#endif


#endif /* _GL_MATH_H */
#endif /* _GL_MATH_H */