Fraction[T] = object
  num*, den*: T

CPLIB_MATH_FRACTIONS = 1

proc `$`[T](x: Fraction[T]): string

proc `*=`[T](x: var Fraction[T]; y: Fraction[T])

proc `*=`[T](x: var Fraction[T]; y: T)

proc `*`[T](x, y: Fraction[T]): Fraction[T]

proc `*`[T](x: Fraction[T]; y: T): Fraction[T]

proc `*`[T](x: T; y: Fraction[T]): Fraction[T]

proc `+=`[T](x: var Fraction[T]; y: Fraction[T])

proc `+=`[T](x: var Fraction[T]; y: T)

proc `+`[T](x, y: Fraction[T]): Fraction[T]

proc `+`[T](x: Fraction[T]; y: T): Fraction[T]

proc `+`[T](x: T; y: Fraction[T]): Fraction[T]

proc `-=`[T](x: var Fraction[T]; y: Fraction[T])

proc `-=`[T](x: var Fraction[T]; y: T)

proc `-`[T](x, y: Fraction[T]): Fraction[T]

proc `-`[T](x: Fraction[T]): Fraction[T]

proc `-`[T](x: Fraction[T]; y: T): Fraction[T]

proc `-`[T](x: T; y: Fraction[T]): Fraction[T]

proc `/=`[T](x: var Fraction[T]; y: Fraction[T])

proc `/=`[T](x: var Fraction[T]; y: T)

proc `/`[T](x, y: Fraction[T]): Fraction[T]

proc `/`[T](x: Fraction[T]; y: T): Fraction[T]

proc `/`[T](x: T; y: Fraction[T]): Fraction[T]

proc `<=`[T](x: Fraction[T]; y: Fraction[T] or T): bool

proc `<=`[T](x: T; y: Fraction[T]): bool

proc `<`[T](x, y: Fraction[T]): bool

proc `<`[T](x: Fraction[T]; y: T): bool

proc `<`[T](x: T; y: Fraction[T]): bool

proc `==`[T](x, y: Fraction[T]): bool

proc `==`[T](x: Fraction[T]; y: T): bool

proc `==`[T](x: T; y: Fraction[T]): bool

proc `>=`[T](x: Fraction[T]; y: Fraction[T] or T): bool

proc `>=`[T](x: T; y: Fraction[T]): bool

proc `>`[T](x, y: Fraction[T]): bool

proc `>`[T](x: Fraction[T]; y: T): bool

proc `>`[T](x: T; y: Fraction[T]): bool

proc abs[T](x: Fraction[T]): Fraction[T]

proc cmp[T](x, y: Fraction[T]): int

proc cmp[T](x: Fraction[T]; y: T): int

proc cmp[T](x: T; y: Fraction[T]): int

proc hash[T](x: Fraction[T]): Hash

proc initFraction[T](num, den: T; reduce: bool = true): Fraction[T]

proc initFraction[T](num: T): Fraction[T]

proc inv[T](x: Fraction[T]): Fraction[T]

proc isNaN(x: Fraction): bool

proc pow[T](x: Fraction[T]; n: int): Fraction[T]

proc reduce[T](self: var Fraction[T])

proc toFloat[T](x: Fraction[T]): float