Cats Apply, does cartesian maps, extends Functor and Semigroupal (which does cartesian joins, unlike pairwise Align)

CatsAp.scala

import cats._
import cats.implicits._

// Cats Apply, does cartesian maps, extends Functor and Semigroupal (which does cartesian joins, unlike pairwise Align)

object CatsAp extends App {

  val apOption=Apply[Option]

  val option1: Option[(Int, Int)] =apOption.product(Option(1), Option(2))

  println(option1)

  val option2: Option[(Int, Nothing)] =apOption.product(Option(1), None)

  println(option2)

  val option3: Option[(Nothing, Nothing)] =apOption.product(None, None)

  println(option3)

  val apList=Apply[List]

  val l1=List(1,2)

  val l2=List(10,11,12)

  val tupleList: List[(Int, Int)] =apList.product(l1, l2)

  println(tupleList)

  val out1=apOption.ap[Int,Int](Option(_+100))(23.some)

  println(out1)

  val out2=apList.ap[Int,Int](List(_+1,_+100))(l1)

  println(out2)

}

output,txt

Some((1,2))
None
None
List((1,10), (1,11), (1,12), (2,10), (2,11), (2,12))
Some(123)
List(2, 3, 101, 102)