How do you create an F # workflow that allows something like a one-step?

Question

I would like to create a builder that builds expressions that return something like a continuation after each step.

Something like that:

module TwoSteps = 
  let x = stepwise {
    let! y = "foo"
    printfn "got: %A" y
    let! z = y + "bar"
    printfn "got: %A" z
    return z
  }

  printfn "two steps"
  let a = x()
  printfn "something inbetween"
  let b = a()

If the string 'let a' returns something containing the rest of the expressions for further evaluation.

Doing this with a separate type for each number of steps is simple, but certainly not particularly useful:

type Stepwise() =
  let bnd (v: 'a) rest = fun () -> rest v
  let rtn v = fun () -> Some v
  member x.Bind(v, rest) = 
    bnd v rest
  member x.Return v = rtn v

let stepwise = Stepwise()

module TwoSteps = 
  let x = stepwise {
    let! y = "foo"
    printfn "got: %A" y
    let! z = y + "bar"
    printfn "got: %A" z
    return z
  }

  printfn "two steps"
  let a = x()
  printfn "something inbetween"
  let b = a()

module ThreeSteps = 
  let x = stepwise {
    let! y = "foo"
    printfn "got: %A" y
    let! z = y + "bar"
    printfn "got: %A" z
    let! z' = z + "third"
    printfn "got: %A" z'
    return z
  }

  printfn "three steps"
  let a = x()
  printfn "something inbetween"
  let b = a()
  printfn "something inbetween"
  let c = b()

And the results are what I'm looking for:

two steps
got: "foo"
something inbetween
got: "foobar"
three steps
got: "foo"
something inbetween
got: "foobar"
something inbetween
got: "foobarthird"

But I cannot understand what the general case of this will be.

I would like for me to be able to send events to this workflow so that you can write something like:

let someHandler = Stepwise<someMergedEventStream>() {
  let! touchLocation = swallowEverythingUntilYouGetATouch()
  startSomeSound()
  let! nextTouchLocation = swallowEverythingUntilYouGetATouch()
  stopSomeSound()
}

. ( , MonoTouch - F # iPhone. objc .)

Answer 1

, "unit → " a " Bind, ( , monad/computation).

, . : , ( return). seq<option<'a>>. , . None, , Some(value), , return.

- Bind. , , , ( let! a = 1), . :

let foo() = stepwise { 
  return 1; }
let bar() = stepwise { 
  let! a = foo()
  return a + 10 }

, , . , , Bind return , :

type Stepwise() = 
  member x.Bind(v:seq<option<_>>, rest:(_ -> seq<option<_>>)) = seq {
    let en = v.GetEnumerator()
    let nextVal() = 
      if en.MoveNext() then en.Current
      else failwith "Unexpected end!" 
    let last = ref (nextVal())
    while Option.isNone !last do
      // yield None for each step of the source 'stepwise' computation
      yield None
      last := next()
    // yield one more None for this step
    yield None      
    // run the rest of the computation
    yield! rest (Option.get !last) }
  member x.Return v = seq { 
    // single-step computation that yields the result
    yield Some(v) }

let stepwise = Stepwise() 
// simple function for creating single-step computations
let one v = stepwise.Return(v)

:

let oneStep = stepwise {
  // NOTE: we need to explicitly create single-step 
  // computations when we call the let! binder
  let! y = one( "foo" ) 
  printfn "got: %A" y 
  return y + "bar" } 

let threeSteps = stepwise { 
  let! x = oneStep // compose computations :-)
  printfn "got: %A" x 
  let! y = one( x + "third" )
  printfn "got: %A" y
  return "returning " + y } 

, , , F # for. :

for step, idx in Seq.zip threeSteps [ 1 .. 10] do
  printf "STEP %d: " idx
  match step with
  | None _ -> ()
  | Some(v) -> printfn "Final result: %s" v

, !

PS: ! , (http://tomasp.net/blog)? !

Answer 2

, -, SO. , .

, Click , . 4 . FSI .

open System.Collections.Generic
open System.Windows.Forms

type ActionQueue(actions: (System.EventArgs -> unit) list) =
    let actions = new Queue<System.EventArgs -> unit>(actions) //'a contains event properties
    with
        member hq.Add(action: System.EventArgs -> unit) = 
           actions.Enqueue(action)
        member hq.NextAction = 
            if actions.Count=0 
                then fun _ -> ()
                else actions.Dequeue()

//test code
let frm = new System.Windows.Forms.Form()

let myActions = [
    fun (e:System.EventArgs) -> printfn "You clicked with %A" (e :?> MouseEventArgs).Button
    fun _ -> printfn "Stop clicking me!!"
    fun _ -> printfn "I mean it!"
    fun _ -> printfn "I'll stop talking to you now."
    ]

let aq = new ActionQueue(myActions)

frm.Click.Add(fun e -> aq.NextAction e)

//frm.Click now executes the 4 actions in myActions in order and then does nothing on further clicks
frm.Show()

4 , . , :

let moreActions = [
    fun _ -> printfn "Ok, I'll talk to you again. Just don't click anymore, ever!"
    fun _ -> printfn "That it. I'm done with you."
    ]

moreActions |> List.iter (aq.Add)