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recursion schemes for cats; to iterate is human, to recurse, divine
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package higherkindness.droste
package data
import cats.Functor
import cats.syntax.functor._
import meta.Meta
object Coattr {
def apply[F[_], A](f: Either[A, F[Coattr[F, A]]]): Coattr[F, A] =
macro Meta.fastCast
def un[F[_], A](f: Coattr[F, A]): Either[A, F[Coattr[F, A]]] =
macro Meta.fastCast
def pure[F[_], A](a: A): Coattr[F, A] = apply(Left(a))
def roll[F[_], A](fa: F[Coattr[F, A]]): Coattr[F, A] = apply(Right(fa))
def algebra[F[_], A]: Algebra[CoattrF[F, A, *], Coattr[F, A]] =
Algebra(fa => Coattr(CoattrF.un(fa)))
def coalgebra[F[_], A]: Coalgebra[CoattrF[F, A, *], Coattr[F, A]] =
Coalgebra(a => CoattrF(Coattr.un(a)))
def fromCats[F[_]: Functor, A](free: cats.free.Free[F, A]): Coattr[F, A] =
free.fold(
pure,
ffree => roll(ffree.map(fromCats(_)))
)
object Pure {
def unapply[F[_], A](f: Coattr[F, A]): Option[A] = un(f) match {
case Left(a) => Some(a)
case _ => None
}
}
object Roll {
def unapply[F[_], A](f: Coattr[F, A]): Option[F[Coattr[F, A]]] =
un(f) match {
case Right(fa) => Some(fa)
case _ => None
}
}
}
trait CoattrImplicits {
implicit final class CoattrOps[F[_], A](coattr: Coattr[F, A]) {
def fold[B](f: A => B, fffa: F[Coattr[F, A]] => B): B =
Coattr.un(coattr).fold(f, fffa)
def toCats(implicit ev: Functor[F]): cats.free.Free[F, A] =
fold(
cats.free.Free.pure,
fcoattr => cats.free.Free.roll(fcoattr.map(_.toCats))
)
}
}