+#define isinf(x) ( \
+ sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
+ sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<<52 : \
+ __fpclassifyl(x) == FP_INFINITE)
+
+#define isnan(x) ( \
+ sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
+ sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<52 : \
+ __fpclassifyl(x) == FP_NAN)
+
+#define isnormal(x) ( \
+ sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
+ sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1) >= 1ULL<<53 : \
+ __fpclassifyl(x) == FP_NORMAL)
+
+#define isfinite(x) ( \
+ sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
+ sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<52 : \
+ __fpclassifyl(x) > FP_INFINITE)
+
+int __signbit(double);
+int __signbitf(float);
+int __signbitl(long double);
+
+#define signbit(x) ( \
+ sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
+ sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
+ __signbitl(x) )
+
+#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
+
+#define __ISREL_DEF(rel, op, type) \
+static __inline int __is##rel(type __x, type __y) \
+{ return !isunordered(__x,__y) && __x op __y; }
+
+__ISREL_DEF(lessf, <, float_t)
+__ISREL_DEF(less, <, double_t)
+__ISREL_DEF(lessl, <, long double)
+__ISREL_DEF(lessequalf, <=, float_t)
+__ISREL_DEF(lessequal, <=, double_t)
+__ISREL_DEF(lessequall, <=, long double)
+__ISREL_DEF(lessgreaterf, !=, float_t)
+__ISREL_DEF(lessgreater, !=, double_t)
+__ISREL_DEF(lessgreaterl, !=, long double)
+__ISREL_DEF(greaterf, >, float_t)
+__ISREL_DEF(greater, >, double_t)
+__ISREL_DEF(greaterl, >, long double)
+__ISREL_DEF(greaterequalf, >=, float_t)
+__ISREL_DEF(greaterequal, >=, double_t)
+__ISREL_DEF(greaterequall, >=, long double)
+
+#define __tg_pred_2(x, y, p) ( \
+ sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
+ sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
+ p##l(x, y) )
+
+#define isless(x, y) __tg_pred_2(x, y, __isless)
+#define islessequal(x, y) __tg_pred_2(x, y, __islessequal)
+#define islessgreater(x, y) __tg_pred_2(x, y, __islessgreater)
+#define isgreater(x, y) __tg_pred_2(x, y, __isgreater)
+#define isgreaterequal(x, y) __tg_pred_2(x, y, __isgreaterequal)