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Type Class Ops

We'll be wanting Operation wrappers for our type classes to enable us to use infix notation (arrow1 <+> arrow2). There are a few ways to do this and I don't know what the tradeoffs are.

Scalaz does it like this:

trait ArrowPlusOps[F[-_, +_], A, B] extends Ops[F[A, B]] {
   implicit def F : ArrowPlus[F]

   final def <+>(other : F[A, B]) = F.<+>(self, other)
}

trait ToArrowPlusOps {
   implicit def ToArrowPlusOps[F[-_, +_], A, B](v : F[A, B])(implicit ev : ArrowPlus[F]) =
      new ArrowPlusOps[F, A, B] { def self = v; implicit def F : ArrowPlus[F] = ev }
}

Scalaz perdates implicit classes which might be the only reason they don't use them.

There are also two ways to structure this with implicit classes (depending on where you ask for the evidence):

trait ToArrowPlusOps {
   implicit class ArrowPlusOps[F[-_, +_] : ArrowPlus, A, B](v : F[A, B]) {
      final def <+>(other : F[A, B]) = implicitly[ArrowPlus[F]].<+>(v, other)
   }
}

and

trait ToArrowPlusOps {
   implicit class ArrowPlusOps[F[-_, +_], A, B](v : F[A, B]) {
      final def <+>(other : F[A, B])(ev : ArrowPlus[F]) = ev.<+>(v, other)
   }
}

The main things to consider here are type inference, error messages, and modularity.

Documentation

We'll need some documentation once we have a working library. We can use dotlit to write our examples in Literate Scala.

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