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wip Free MonadPlus. add FreePlus.Gosub
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xuwei-k committed Jan 29, 2014
1 parent fc61379 commit b42d789
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Showing 2 changed files with 43 additions and 24 deletions.
58 changes: 38 additions & 20 deletions core/src/main/scala/scalaz/FreePlus.scala
Original file line number Diff line number Diff line change
Expand Up @@ -4,34 +4,51 @@ object FreePlus extends FreePlusInstances {
private[scalaz] final case class Pure[F[_], A](a: A) extends FreePlus[F, A]
private[scalaz] final case class Suspend[F[_], A](a: F[FreePlus[F, A]]) extends FreePlus[F, A]
private[scalaz] final case class Plus[F[_], A](a: IList[FreePlus[F, A]]) extends FreePlus[F, A]
private[scalaz] final case class Gosub[F[_], A, B](a: () => FreePlus[F, A], f: A => FreePlus[F, B]) extends FreePlus[F, B]

private[this] val nil = Plus[Nothing, Nothing](INil())

def pure[F[_], A](a: A): FreePlus[F, A] = Pure(a)
def point[F[_]] = new (Id.Id ~> ({type λ[α] = FreePlus[F, α]})#λ) {
def apply[A](a: A) = Pure(a)
}
def suspend[F[_], A](a: F[FreePlus[F, A]]): FreePlus[F, A] = Suspend(a)
def plus[F[_], A](a: IList[FreePlus[F, A]]): FreePlus[F, A] = Plus(a)

def empty[F[_], A]: FreePlus[F, A] = nil.asInstanceOf[FreePlus[F, A]]
}

sealed abstract class FreePlus[F[_], A] {
import FreePlus._

def map[B](f: A => B)(implicit F: Functor[F]): FreePlus[F, B] = this match {
case Pure(a) => Pure(f(a))
case Suspend(a) => Suspend(F.map(a)(_.map(f)))
case Plus(a) => Plus(a.map(_.map(f)))
}
final def map[B](f: A => B)(implicit F: Functor[F]): FreePlus[F, B] =
flatMap(a => Pure(f(a)))

def flatMap[B](f: A => FreePlus[F, B])(implicit F: Functor[F]): FreePlus[F, B] = this match {
case Pure(a) => f(a)
case Suspend(a) => Suspend(F.map(a)(_.flatMap(f)))
case Plus(a) => Plus(a.map(_.flatMap(f)))
final def flatMap[B](f: A => FreePlus[F, B])(implicit F: Functor[F]): FreePlus[F, B] = this match {
case Gosub(a, g) => Gosub(a, (x: Any) => Gosub(() => g(x), f))
case a => Gosub(() => a, f)
}

def plus(that: FreePlus[F, A]): FreePlus[F, A] = (this, that) match {
case (Plus(INil()), _ ) => that
case (_ , Plus(INil())) => this
case (Plus(a) , Plus(b) ) => Plus(a ::: b)
case (_ , _ ) => Plus(this :: that :: IList.empty)
final def plus(that: FreePlus[F, A])(implicit F: Functor[F]): FreePlus[F, A] = (this.resume, that.resume) match {
case (Right3(INil()), _ ) => that
case (_ , Right3(INil())) => this
case (Right3(a) , Right3(b) ) => Plus(a ::: b)
case (_ , _ ) => Plus(this :: that :: IList.empty)
}

@annotation.tailrec
final def resume(implicit F: Functor[F]): Either3[A, F[FreePlus[F, A]], IList[FreePlus[F, A]]] = this match {
case Pure(a) => Left3(a)
case Suspend(a) => Middle3(a)
case Plus(a) => Right3(a)
case a Gosub f => a() match {
case Pure(b) => f(b).resume
case Suspend(b) => Middle3(F.map(b)(((_: FreePlus[F, Any]) flatMap f)))
case Plus(b) => Right3(b.map(_.flatMap(f)))
case b Gosub g => b().flatMap((x: Any) => g(x) flatMap f).resume
}
}

}

sealed abstract class FreePlusInstances {
Expand All @@ -43,12 +60,13 @@ sealed abstract class FreePlusInstances {
}

implicit def freePlusEqual[F[_], A](implicit A: Equal[A], N: Equal ~> ({type λ[α] = Equal[F[α]]})#λ, F: Functor[F]): Equal[FreePlus[F, A]] = {
implicit val f: Equal[FreePlus[F, A]] = freePlusEqual[F, A]
Equal.equal{
case (Pure(a) , Pure(b) ) => A.equal(a, b)
case (Suspend(a), Suspend(b)) => N(freePlusEqual[F, A]).equal(a, b)
case (Plus(a) , Plus(b) ) => IList.equal(freePlusEqual[F, A]).equal(a, b)
case (_ , _ ) => false
Equal.equal{ (aa, bb) =>
(aa.resume, bb.resume) match {
case (Left3(a) , Left3(b) ) => A.equal(a, b)
case (Middle3(a), Middle3(b)) => N(freePlusEqual[F, A]).equal(a, b)
case (Right3(a) , Right3(b) ) => IList.equal(freePlusEqual[F, A]).equal(a, b)
case (_ , _ ) => false
}
}
}
}
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9 changes: 5 additions & 4 deletions tests/src/test/scala/scalaz/FreePlusTest.scala
Original file line number Diff line number Diff line change
Expand Up @@ -18,11 +18,12 @@ object FreePlusTest extends SpecLite {
import FreePlus._
def loop(pure: Int, suspend: Int, plus: Int): Arbitrary[FreePlus[F, A]] =
Arbitrary(Gen.frequency(
(10, Functor[Arbitrary].map(A)(Pure[F, A](_)).arbitrary),
(suspend, Functor[Arbitrary].map(F(loop(pure + 1, suspend, plus)))(Suspend[F, A](_)).arbitrary),
(plus, Functor[Arbitrary].map(loop(pure + 1, suspend, plus))(a => FreePlus.Plus[F, A](IList(a))).arbitrary)
(pure, Functor[Arbitrary].map(A)(Pure[F, A](_)).arbitrary)
// (suspend, Functor[Arbitrary].map(F(loop(pure * 2, suspend / 2, plus / 2)))(Suspend[F, A](_)).arbitrary),
// (plus, Functor[Arbitrary].map(loop(pure * 2, suspend / 2, plus / 2))(a => FreePlus.Plus[F, A](IList(a))).arbitrary)
// TODO stack overflow
))
loop(1, 1, 1)
loop(10, 1, 1)
}

implicit val optionEq = new Template[Option, Equal] {
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