#define max(_a, _b) ((_a) > (_b) ? (_a) : (_b))
#define min(_a, _b) ((_a) < (_b) ? (_a) : (_b))

#if 100 * __GNUC__ + __GNUC_MINOR__ >= 303
#define NAN __builtin_nanf("")
#define INFINITY __builtin_inff()
#else
#define NAN (0.0f / 0.0f)
#define INFINITY 1e40f
#endif

#define HUGE_VALF INFINITY
#define HUGE_VAL ((double)INFINITY)
#define HUGE_VALL ((long double)INFINITY)

double ldexp(double x, int exp);
double fmin(double x, double y);