Add map + flatMap to Function1-3 with no overhead

gistfile1.scala

object RichF {
  implicit class RichF1[A, Z](val f: A => Z) extends AnyVal {
    def map[Y](g: Z => Y): A => Y =
      (a: A) => g(f(a))
    def flatMap[Y](g: Z => A => Y): A => Y =
      (a: A) => g(f(a))(a)
  }

  implicit class RichF2[A, B, Z](val f: (A, B) => Z) extends AnyVal {
    def map[Y](g: Z => Y): (A, B) => Y =
      (a: A, b: B) => g(f(a, b))
    def flatMap[Y](g: Z => (A, B) => Y): (A, B) => Y =
      (a: A, b: B) => g(f(a, b))(a, b)
  }

  implicit class RichF3[A, B, C, Z](val f: (A, B, C) => Z) extends AnyVal {
    def map[Y](g: Z => Y): (A, B, C) => Y =
      (a: A, b: B, c: C) => g(f(a, b, c))
    def flatMap[Y](g: Z => (A, B, C) => Y): (A, B, C) => Y =
      (a: A, b: B, c: C) => g(f(a, b, c))(a, b, c)
  }
}