typelevel / kittens

Automatic type class derivation for Cats

Version Matrix

Kittens: automatic type class derivation for Cats

Kittens is a Scala library which provides instances of type classes from the Cats library for arbitrary algebraic data types (ADTs) using shapeless-based automatic type class derivation. It also provides utility functions related to Applicative such as lift, traverse and sequence to HList, Record and case classes.

kittens image

Kittens is part of the Typelevel family of projects. It is an Open Source project under the Apache License v2, hosted on GitHub. Binary artifacts will be published to the Sonatype OSS Repository Hosting service and synced to Maven Central.

It is available for Scala 2.12, 2.13 and Scala.js.

To get started with sbt, simply add the following to your build.sbt file:

libraryDependencies += "org.typelevel" %% "kittens" % "2.2.1"

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Instance derivations are available for the following type classes:

  • Eq, PartialOrder, Order, Hash
  • Show, pretty Show
  • Empty, EmptyK (from Alleycats)
  • Semigroup, CommutativeSemigroup, SemigroupK
  • Monoid, CommutativeMonoid, MonoidK
  • Functor, Contravariant, Invariant
  • Pure (from Alleycats), Apply, Applicative
  • Foldable, Reducible
  • Traverse, NonEmptyTraverse
  • ConsK (from Alleycats)

See the Type class support matrix for more details.

Derivation examples

scala> import cats.implicits._, cats._, cats.derived._

scala> case class Cat[Food](food: Food, foods: List[Food])
defined class Cat

scala> val cat = Cat(1, List(2, 3))
cat: Cat[Int] = Cat(1,List(2, 3))

Derive Functor

scala> implicit val fc: Functor[Cat] = semiauto.functor
FC: cats.Functor[Cat] = cats.derived.MkFunctor2$$anon$4@1c60573f

scala> cat.map(_ + 1)
res0: Cat[Int] = Cat(2,List(3, 4))

Derive Show

Note that the derived Show also prints out field names, so it might be preferable to the default toString:

scala> case class Address(street: String, city: String, state: String)
scala> case class ContactInfo(phoneNumber: String, address: Address)
scala> case class People(name: String, contactInfo: ContactInfo)

scala> val mike = People("Mike", ContactInfo("202-295-3928", Address("1 Main ST", "Chicago", "IL")))

scala> // existing Show instance for Address
scala> implicit val addressShow: Show[Address] =
         a => s"${a.street}, ${a.city}, ${a.state}"

scala> implicit val peopleShow: Show[People] = semiauto.show // auto derive Show for People

scala> mike.show
res0: String = People(name = Mike, contactInfo = ContactInfo(phoneNumber = 202-295-3928, address = 1 Main ST, Chicago, IL))

Note that in this example, the derivation generated instances for all referenced classes but still respected the existing instance in scope. For different ways to derive instances please see the three modes of derivation below.

Sequence examples

Note that to run these examples you need partial unification enabled. For Scala 2.12 you should add the following to your build.sbt:

scalacOptions += "-Ypartial-unification"
scala> import cats.implicits._, cats.sequence._
import cats.implicits._
import cats.sequence._

scala> val f1 = (_: String).length
f1: String => Int = <function1>

scala> val f2 = (_: String).reverse
f2: String => String = <function1>

scala> val f3 = (_: String).toFloat
f3: String => Double = <function1>

scala> val f = sequence(f1, f2, f3)
f: String => shapeless.::[Int,shapeless.::[String,shapeless.::[Float,shapeless.HNil]]] = <function1>

scala> f("42.0")
res0: shapeless.::[Int,shapeless.::[String,shapeless.::[Float,shapeless.HNil]]] = 4 :: 0.24 :: 42.0 :: HNil

//or generic over ADTs
scala>  case class MyCase(a: Int, b: String, c: Float)
defined class MyCase

scala>  val myGen = sequenceGeneric[MyCase]
myGen: cats.sequence.sequenceGen[MyCase] = cats.sequence.SequenceOps$sequenceGen@63ae3243

scala> val f = myGen(a = f1, b = f2, c = f3)
f: String => MyCase = <function1>

scala> f("42.0")
res1: MyCase = MyCase(4,0.24,42.0)

Traverse works similarly except you need a shapeless.Poly.

Lift examples

scala> import cats._, implicits._, lift._
import cats._
import implicits._
import lift._

scala> def foo(x: Int, y: String, z: Float) = s"$x - $y - $z"

scala> val lifted = Applicative[Option].liftA(foo _)
lifted: (Option[Int], Option[String], Option[Float]) => Option[String] = <function3>

scala> lifted(Some(1), Some("a"), Some(3.2f))
res0: Option[String] = Some(1 - a - 3.2)

Three modes of derivation

Kittens provides three objects for derivation cats.derived.auto, cats.derived.cached and cats.derived.semi The recommended best practice is going to be a semi auto one:

import cats.derived

implicit val showFoo: Show[Foo] = {
   import derived.auto.show._

This will respect all existing instances even if the field is a type constructor. For example Show[List[A]] will use the native Show instance for List and derived instance for A. And it manually caches the result to the val showFoo. Downside user will need to write one for every type they directly need a Show instance.

There are 3 alternatives:

  1. full auto:
import derived.auto.show._

The downside is that it will re-derive for every use site, which multiples the compilation time cost.

  1. full auto cached
import derived.cached.show._

Use this one with caution. It caches the derived instance globally. So it's only applicable if the instance is global in the application. This could be problematic for libraries, which has no control over the uniqueness of an instance on use site. It relies on shapeless.Cached which is buggy.

  1. manual semi
implicit val showFoo: Show[Foo] =  derived.semiauto.show

It has the same downside as the recommenced semi-auto practice but also suffers from the type constructor field issue. I.e. if a field type is a type constructor whose native instance relies on the instance of the parameter type, this approach will by default derive an instance for the type constructor one. To overcome this user have to first derive the instance for type parameter. e.g. given:

case class Foo(bars: List[Bar])
case class Bar(a: String)

Since the bars field of Foo is a List of Bar which breaks the chains of auto derivation, you will need to derive Bar first and then Foo.

implicit val showBar: Show[Bar] =  semiauto.show
implicit val showFoo: Show[Foo] =  semiauto.show

This way the native instance for Show[List] would be used.

Type class support matrix


  • - all must satisfy a constraint
  • - at lest one must satisfy a constraint
  • ∃! - exactly one must satisfy a constraint
  • - both constraints must be satisfied
  • - either constraint must be satisfied

For monomorphic types

Type Class Case Classes Sealed Traits
CommutativeMonoid ∀ fields: CommutativeMonoid
CommutativeSemigroup ∀ fields: CommutativeSemigroup
Empty ∀ fields: Empty ∃ variant: Empty
Eq ∀ fields: Eq ∀ variants: Eq
Hash ∀ fields: Hash ∀ variants: Hash
Monoid ∀ fields: Monoid
Order ∀ fields: Order ∃! variant: Order
PartialOrder ∀ fields: PartialOrder ∀ variants: PartialOrder
Semigroup ∀ fields: Semigroup
Show ∀ fields: Show ∀ variants: Show
ShowPretty ∀ fields: ShowPretty ∀ variants: ShowPretty

For polymorphic types

Type Class Case Classes Sealed Traits Constant Types λ[x => T] Nested Types λ[x => F[G[x]]]
Applicative ∀ fields: Applicative for T: Monoid for F: Applicative and G: Applicative
Apply ∀ fields: Apply for T: Semigroup for F: Apply and G: Apply
Contravariant ∀ fields: Contravariant ∀ variants: Contravariant for any T for F: Functor and G: Contravariant
EmptyK ∀ fields: EmptyK for T: Empty for F: EmptyK and any G ∨ for F: Pure and G: EmptyK
Foldable ∀ fields: Foldable ∀ variants: Foldable for any T for F: Foldable and G: Foldable
Functor ∀ fields: Functor ∀ variants: Functor for any T for F: Functor and G: Functor ∨ for F: Contravariant and G: Contravariant
Invariant ∀ fields: Invariant ∀ variants: Invariant for any T for F: Invariant and G: Invariant
MonoidK ∀ fields: MonoidK for T: Monoid for F: MonoidK and any G ∨ for F: Applicative and G: MonoidK
NonEmptyTraverse ∃ field: NonEmptyTraverse ∧ ∀ fields: Traverse ∀ variants: NonEmptyTraverse for F: NonEmptyTraverse and G: NonEmptyTraverse
Pure ∀ fields: Pure for T: Empty for F: Pure and G: Pure
Reducible ∃ field: Reducible ∧ ∀ fields: Foldable ∀ variants: Reducible for F: Reducible and G: Reducible
SemigroupK ∀ fields: SemigroupK for T: Semigroup for F: SemigroupK and any G ∨ for F: Apply and G: SemigroupK
Traverse ∀ fields: Traverse ∀ variants: Traverse for any T for F: Traverse and G: Traverse


The Kittens project supports the Scala code of conduct and wants all of its channels (mailing list, Gitter, GitHub, etc.) to be welcoming environments for everyone.

Building kittens

Kittens is built with SBT 1.x, and its master branch is built with Scala 2.13 by default.