--- /dev/null
+/* A GNU-like <math.h>.
+
+ Copyright (C) 2002-2003, 2007-2009 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
+
+/* 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 definition of GL_LINK_WARNING is copied here. */
+
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+/* 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@
+# 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
+#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@
+# define frexp rpl_frexp
+extern double frexp (double x, int *expptr);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef frexp
+# define frexp(x,e) \
+ (GL_LINK_WARNING ("frexp is unportable - " \
+ "use gnulib module frexp for portability"), \
+ frexp (x, e))
+#endif
+
+
+#if @GNULIB_MATHL@ || !@HAVE_DECL_ACOSL@
+extern long double acosl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef acosl
+# define acosl(x) \
+ (GL_LINK_WARNING ("acosl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ acosl (x))
+#endif
+
+
+#if @GNULIB_MATHL@ || !@HAVE_DECL_ASINL@
+extern long double asinl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef asinl
+# define asinl(x) \
+ (GL_LINK_WARNING ("asinl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ asinl (x))
+#endif
+
+
+#if @GNULIB_MATHL@ || !@HAVE_DECL_ATANL@
+extern long double atanl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef atanl
+# define atanl(x) \
+ (GL_LINK_WARNING ("atanl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ atanl (x))
+#endif
+
+
+#if @GNULIB_CEILF@
+# if @REPLACE_CEILF@
+# define ceilf rpl_ceilf
+extern float ceilf (float x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef ceilf
+# define ceilf(x) \
+ (GL_LINK_WARNING ("ceilf is unportable - " \
+ "use gnulib module ceilf for portability"), \
+ ceilf (x))
+#endif
+
+#if @GNULIB_CEILL@
+# if @REPLACE_CEILL@
+# define ceill rpl_ceill
+extern long double ceill (long double x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef ceill
+# define ceill(x) \
+ (GL_LINK_WARNING ("ceill is unportable - " \
+ "use gnulib module ceill for portability"), \
+ ceill (x))
+#endif
+
+
+#if @GNULIB_MATHL@ || (!@HAVE_DECL_COSL@ && !defined cosl)
+# undef cosl
+extern long double cosl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef cosl
+# define cosl(x) \
+ (GL_LINK_WARNING ("cosl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ cosl (x))
+#endif
+
+
+#if @GNULIB_MATHL@ || !@HAVE_DECL_EXPL@
+extern long double expl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef expl
+# define expl(x) \
+ (GL_LINK_WARNING ("expl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ expl (x))
+#endif
+
+
+#if @GNULIB_FLOORF@
+# if @REPLACE_FLOORF@
+# define floorf rpl_floorf
+extern float floorf (float x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef floorf
+# define floorf(x) \
+ (GL_LINK_WARNING ("floorf is unportable - " \
+ "use gnulib module floorf for portability"), \
+ floorf (x))
+#endif
+
+#if @GNULIB_FLOORL@
+# if @REPLACE_FLOORL@
+# define floorl rpl_floorl
+extern long double floorl (long double x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef floorl
+# define floorl(x) \
+ (GL_LINK_WARNING ("floorl is unportable - " \
+ "use gnulib module floorl for portability"), \
+ floorl (x))
+#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@
+# define frexpl rpl_frexpl
+#endif
+#if (@GNULIB_FREXPL@ && @REPLACE_FREXPL@) || !@HAVE_DECL_FREXPL@
+extern long double frexpl (long double x, int *expptr);
+#endif
+#if !@GNULIB_FREXPL@ && defined GNULIB_POSIXCHECK
+# undef frexpl
+# define frexpl(x,e) \
+ (GL_LINK_WARNING ("frexpl is unportable - " \
+ "use gnulib module frexpl for portability"), \
+ frexpl (x, e))
+#endif
+
+
+/* Return x * 2^exp. */
+#if @GNULIB_LDEXPL@ && @REPLACE_LDEXPL@
+# define ldexpl rpl_ldexpl
+#endif
+#if (@GNULIB_LDEXPL@ && @REPLACE_LDEXPL@) || !@HAVE_DECL_LDEXPL@
+extern long double ldexpl (long double x, int exp);
+#endif
+#if !@GNULIB_LDEXPL@ && defined GNULIB_POSIXCHECK
+# undef ldexpl
+# define ldexpl(x,e) \
+ (GL_LINK_WARNING ("ldexpl is unportable - " \
+ "use gnulib module ldexpl for portability"), \
+ ldexpl (x, e))
+#endif
+
+
+#if @GNULIB_MATHL@ || (!@HAVE_DECL_LOGL@ && !defined logl)
+# undef logl
+extern long double logl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef logl
+# define logl(x) \
+ (GL_LINK_WARNING ("logl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ logl (x))
+#endif
+
+
+#if @GNULIB_ROUNDF@
+# if @REPLACE_ROUNDF@
+# undef roundf
+# define roundf rpl_roundf
+extern float roundf (float x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef roundf
+# define roundf(x) \
+ (GL_LINK_WARNING ("roundf is unportable - " \
+ "use gnulib module roundf for portability"), \
+ roundf (x))
+#endif
+
+#if @GNULIB_ROUND@
+# if @REPLACE_ROUND@
+# undef round
+# define round rpl_round
+extern double round (double x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef round
+# define round(x) \
+ (GL_LINK_WARNING ("round is unportable - " \
+ "use gnulib module round for portability"), \
+ round (x))
+#endif
+
+#if @GNULIB_ROUNDL@
+# if @REPLACE_ROUNDL@
+# undef roundl
+# define roundl rpl_roundl
+extern long double roundl (long double x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef roundl
+# define roundl(x) \
+ (GL_LINK_WARNING ("roundl is unportable - " \
+ "use gnulib module roundl for portability"), \
+ roundl (x))
+#endif
+
+
+#if @GNULIB_MATHL@ || (!@HAVE_DECL_SINL@ && !defined sinl)
+# undef sinl
+extern long double sinl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef sinl
+# define sinl(x) \
+ (GL_LINK_WARNING ("sinl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ sinl (x))
+#endif
+
+
+#if @GNULIB_MATHL@ || !@HAVE_DECL_SQRTL@
+extern long double sqrtl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef sqrtl
+# define sqrtl(x) \
+ (GL_LINK_WARNING ("sqrtl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ sqrtl (x))
+#endif
+
+
+#if @GNULIB_MATHL@ || !@HAVE_DECL_TANL@
+extern long double tanl (long double x);
+#endif
+#if !@GNULIB_MATHL@ && defined GNULIB_POSIXCHECK
+# undef tanl
+# define tanl(x) \
+ (GL_LINK_WARNING ("tanl is unportable - " \
+ "use gnulib module mathl for portability"), \
+ tanl (x))
+#endif
+
+
+#if @GNULIB_TRUNCF@
+# if !@HAVE_DECL_TRUNCF@
+# define truncf rpl_truncf
+extern float truncf (float x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef truncf
+# define truncf(x) \
+ (GL_LINK_WARNING ("truncf is unportable - " \
+ "use gnulib module truncf for portability"), \
+ truncf (x))
+#endif
+
+#if @GNULIB_TRUNC@
+# if !@HAVE_DECL_TRUNC@
+# define trunc rpl_trunc
+extern double trunc (double x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef trunc
+# define trunc(x) \
+ (GL_LINK_WARNING ("trunc is unportable - " \
+ "use gnulib module trunc for portability"), \
+ trunc (x))
+#endif
+
+#if @GNULIB_TRUNCL@
+# if @REPLACE_TRUNCL@
+# undef truncl
+# define truncl rpl_truncl
+extern long double truncl (long double x);
+# endif
+#elif defined GNULIB_POSIXCHECK
+# undef truncl
+# define truncl(x) \
+ (GL_LINK_WARNING ("truncl is unportable - " \
+ "use gnulib module truncl for portability"), \
+ truncl (x))
+#endif
+
+
+#if @GNULIB_ISFINITE@
+# if @REPLACE_ISFINITE@
+extern int gl_isfinitef (float x);
+extern int gl_isfinited (double x);
+extern 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
+ /* How to override a macro? */
+#endif
+
+
+#if @GNULIB_ISINF@
+# if @REPLACE_ISINF@
+extern int gl_isinff (float x);
+extern int gl_isinfd (double x);
+extern 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
+ /* How to override a macro? */
+#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. */
+# include <math.h>
+# 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
+extern 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. */
+# include <math.h>
+# 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
+extern 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. */
+# include <math.h>
+# 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
+extern 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_isnan ((float)(x))
+# else
+extern 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
+extern 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_isnan ((long double)(x))
+# else
+extern 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))
+# endif
+#elif defined GNULIB_POSIXCHECK
+ /* How to override a macro? */
+#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
+extern int gl_signbitf (float arg);
+extern int gl_signbitd (double arg);
+extern int gl_signbitl (long double arg);
+# if __GNUC__ >= 2 && !__STRICT_ANSI__
+# 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[(sizeof (float) + sizeof (unsigned int) - 1) / sizeof (unsigned int)]; \
+ } _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[(sizeof (double) + sizeof (unsigned int) - 1) / sizeof (unsigned int)]; \
+ } _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[(sizeof (long double) + sizeof (unsigned int) - 1) / sizeof (unsigned int)]; \
+ } _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
+ /* How to override a macro? */
+#endif
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* _GL_MATH_H */
+#endif /* _GL_MATH_H */
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