Mutual recursion with computation expressions - f#

Currently I have the following structure:
let rec foo x = State.state{
let rec bar =
//...
foo 5
//...
//...
bar
//...
}
I would like to extract the 'bar' function and obtain a structure such as:
let rec foo x = State.state{
//...
bar
//...
}
and bar = State.state{
//...
foo 5
//...
}
This would allow me to have another function foo2 that could also use bar and avoid code duplication.
The question is: my proposal does not compile in F# and apparently that is because of the State context. So what is the syntactically correct way to reach the desired code structure?

This works fine for me:
let rec foo x =
async {
return! bar x
}
and bar x =
async {
if x = 0
then printfn "bar"
else do! foo (x - 1)
}
Async.RunSynchronously (foo 10)
I had problems with the formatting first so make sure your indentations are correct and that your exclamation marks are at the right place, otherwise the type won't work out.

Related

What is missing using interfaces compared to true type-classes?

F# does not (currently) support type-classes. However, F# does support the OOP aspects of C#.
I was wondering, what is lost doing this approach compared to true type-classes?
// A concrete type
type Foo =
{
Foo : int
}
// "Trait" for things that can be shown
type IShowable =
abstract member Show : unit -> string
module Showable =
let show (showable : IShowable) =
showable.Show()
// "Witness" of IShowable for Foo
module Foo =
let asShowable (foo : Foo) =
{
new IShowable with
member this.Show() = string foo.Foo
}
// Slightly awkward usage
{ Foo = 123 }
|> Foo.asShowable
|> Showable.show
|> printfn "%s"
Your suggestion works for simple typeclasses that operate on a single value of a type, like Show. However, what happens when you need a typeclass that isn't so object-oriented? For example, when we want to add two numbers, neither one corresponds to OO's this object:
// not real F#
typeclass Numeric<'a> = // e.g. Numeric<int> or Numeric<float>
abstract member (+) : 'a -> 'a -> 'a // e.g. 2 + 3 = 5 or 2.0 + 3.0 = 5.0
...
Also, keep in mind that many useful typeclasses require higher-kinded types. For example, consider the monad typeclass, which would look something like this:
// not real F#
typeclass Monad<'m<_>> = // e.g. Monad<Option<_>> or Monad<Async<_>>
abstract member Return<'a> : 'a -> 'm<'a>
abstract member Bind<'a, 'b> : 'm<'a> -> ('a -> 'm<'b>) -> 'm<'b>
There's no good way to do this with .NET interfaces.
Higher-kinded type classes are indeed impossible to model with interfaces, but that's just because F# does not support higher-kindedness, not because of type classes themselves.
The deeper thing to note is that your encoding isn't actually correct. Sure, if you just need to call show directly, you can do asShowable like that, but that's just the simplest case. Imagine you needed to pass the value to another function that wanted to show it later? And then imagine it was a list of values, not a single one:
let needsToShow (showable: IShowable) (xs: 'a list) =
xs |> List.iter (fun x -> ??? how do I show `x` ???)
No, this wouldn't do of course. The key is that Show should be a function 'a -> string, not unit -> string. And this means that IShowable itself should be generic:
// Haskell: class Showable a where show :: a -> String
type IShowable<'a> with
abstract member Show : 'a -> string
// Haskell: instance Showable Foo where show (Foo i) = show i
module Foo =
let showable = { new IShowable<Foo> with member _.Show foo = string foo.Foo }
// Haskell: needsToShow :: Show a => [a] -> IO ()
let needsToShow (showable: IShowable<'a>) (xs: 'a list) =
xs |> List.iter (fun x -> printfn "%s" (showable.Show x))
// Haskell: needsToShow [Foo 1, Foo 42]
needsToShow Foo.showable [ { Foo: 1 }; { Foo: 42 } ]
And this is, essentially, what type classes are: they're indeed merely dictionaries of functions that are passed everywhere as extra parameters. Every type has such dictionary either available right away (like Foo above) or constructable from other such dictionaries, e.g.:
type Bar<'a> = Bar of 'a
// Haskell: instance Show a => Show (Bar a) where show (Bar a) = "Bar: " <> show a
module Bar =
let showable (showA: IShowable<'a>) =
{ new IShowable<Bar<'a>> with member _.Show (Bar a) = "Bar: " + showA.Show a }
This is completely equivalent to type classes. And in fact, this is exactly how they're implemented in languages like Haskell or PureScript in the first place: like dictionaries of functions being passed as extra parameters. It's not a coincidence that constraints on function type signatures even kinda look like parameters - just with a fat arrow instead of a thin one.
The only real difference is that in F# you have to do that yourself, while in Haskell the compiler figures out all the instances and passes them for you.
And this difference turns out to be kind of important in practice. I mean, sure, for such a simple example as Show for the immediate parameter, you can just pass the damn instance yourself. And even if it's more complicated, I guess you could suck it up and pass a dozen extra parameters.
But where this gets really inconvenient is operators. Operators are functions too, but with operators there is nowhere to stick an extra parameter (or dozen). Check this out:
x = getY >>= \y -> getZ y <&> \z -> y + 42 > z
Here I used four operators from four different classes:
>>= comes from Monad
<&> from Functor
+ from Num
> from Ord
An equivalent in F# with passing instances manually might look something like:
let x =
bind Foo.monad getY <| fun y ->
map Bar.functor (getZ y) <| fun z ->
gt Int.ord (add Int.num y 42) z
Having to do that everywhere is quite unreasonable, you have to agree.
And this is why many F# operators either use SRTPs (e.g. +) or rely on "known" interfaces (e.g. <) - all so you don't have to pass instances manually.

F# match with mutable

Just started playing with F# and I want to create some mutable model inside my app to play with, using F# discriminated union instead of class hierarchy. However there seems no way to "downcast" a discriminated union and "match with" doesn't propagate mutability. What should I do?
type Foo = {
mutable x: int
}
type FooBar =
| Foo of Foo
| Bar
let f = {x = 2};
do f.x <- 3; //All ok
let fb = Foo {x = 1}
do match fb with
| Foo {x = x} -> x <- 2 //"This value is not mutable"
| Bar -> ()
your problem is, that you match/deconstruct fb into a new pattern/value x : int (that is not the same as the f.x at all!) which will of course be immutable (as bindings/values in F# are by default).
you probably see this much better if you don't give both (the value and the pattern) the same name:
> match fb with Foo { x = y } -> y;;
val it : int = 1
see you match x against y so y will get the value of x (but will not be mutable)
situation in C#
let's look at what would be a similar situation in C#
assuming you have a Foo class:
class Foo { public int x { get; set; } }
and a FooBar base-class with
class Foo2 : FooBar
{
public Foo Value { get; }
}
(I striped the ctors because I am to lazy - you get the idea)
now you would do this:
var fb = new Foo2(new Foo(1));
var x = fb.Value.x;
x := 2;
do you think that fb.Value.x will be 2 or 1? ;)
how to pattern-match / mutate
use
let fb = Foo {x = 1}
do match fb with
| Foo f -> f.x <- 2
| Bar -> ()
instead - this will deconstruct f out of fb and then you can set the mutable record-field f.x
But I would suggest not starting to learn F# by trying out how to use mutable values - try to learn using immutability as much as you can istead :)

Change async workflow builder to count steps?

My understanding is that what a workflow builder does is that it first "builds" the expression, and then subsequently executes it. So given that it first builds the expression, it should be able to count the number of let! statements before actually executing, right? And then it should be able to inject some logging that monitors progress? So is it possible to rework the async builder to automatically report progress and kill the printfn redundancy below?
async {
let! a = doSomething1 ()
printfn "%d/%d" 1 4
let! b = doSomething2 a
printfn "%d/%d" 2 4
let! c = doSomething3 b
printfn "%d/%d" 3 4
let! d = doSomething4 c
printfn "%d/%d" 4 4
return d
}
For loops, I guess just assume that the whole loop is a single step. Only top-level expressions count as steps here.
(Note if there's a way to do this without making a whole new workflow builder I guess that's fine too).
Note I've already gone through the path of a) making a "Task" iterator that just iterates tasks (but then you lose e.g. use handling, so it ended up being inadequate), and b) making a task counter, but that always had to be seeded and iterated manually so I'm hoping for something better.
As you tagged the question with the tag monads, I'll start by a theoretical nitpick. What you want to do would not actually be a monad. The problem is that monads require certain laws (see the Haskell page on monads). For F#, this means that the following two snippets should mean the same thing:
let computation1 =
async { let! x = m
return x }
let computation2 = m
This would not be the case for the extension you suggest, because computation1 has one more let! than computation2. Now, I do not think this is actually a problem - the logging could still be useful (even if it may give different results than you'd expect in some cases).
Adding this feature to F# async is not as easy - the problem is that you'd need to define your own type that replaces (or wraps) standard Async<'T>. The type needs to store the number of steps. If you can store the number of steps somewhere else (e.g. some mutable counter), then you just need to redefine the computation builder for async.
Here is a minimal example that does something like this - it just prints "step" for each let!:
// A custom computation builder that redirects all operations to
// the standard 'async' builder, but prints "step" in the Bind method
type LogAsyncBuilder() =
member x.Bind(c1, f) = async {
let! arg = c1
printfn "step!"
return! f arg }
member x.Return(v) = async.Return(v)
member x.ReturnFrom(c) = async.ReturnFrom(c)
// An instance of our custom computation builder
let logAsync = LogAsyncBuilder()
// Example that prints 'step' 4 times (for every Bind - let!)
let doSomething n = logAsync {
return n + 10 }
logAsync {
let! a = doSomething 0
let! b = doSomething a
let! c = doSomething b
let! d = doSomething c
return d }
|> Async.RunSynchronously
You could use a tuple ('a, int, int) to track the current result, the total number of steps and the number executed so far. Then you could write a function to take the current state, and the next async function to execute e.g.
//create the initial state
let startCount steps = ((), 0, steps)
let withCount af (a, c, steps) = async {
let nc = c + 1
let! res = af a
do printfn "%d %d" nc steps
return (res, nc, steps)
}
withCount takes a function which returns the next async operation, and the current state. It creates the next workflow, increments the number of executed steps and prints the status before returning the new state.
You can then use it like:
async {
let init = startCount 4
let! t = withCount doSomething init
let! t2 = withCount doSomething2 t
let! (r, _, _) = withCount doSomething3 t2
return r
}

How do I use an async workflow in a Seq.pick in F#

I am new to functional programming in general and started learning F# recently. I wanted to use an async workflow returning Async<'U option> to pick an item in a Sequence. I find a nice Seq.pick function, but I am not sure how I could use that with an async workflow.
If that is not possible, is there another alternative to using an imperative style program to pick the item from the list. The following is a modified variation of my program. Any feedback is highly appreciated.
let run = async {
while not stopped do
use! resource = acquireResourceLockAsync
let! items = fetchItemsAsync 5
let! item = Seq.pick returnIfLocked items
let! status = performTaskAsync item
do! updateStatusAsync status
do! Async.Sleep 1000
}
Thanks in anticipation.
EDIT: Updated my question based on the answer by jpalmer. I noticed both Seq.filter and Seq.pick earlier and decided that Seq.pick will meet my need better, as I need the first item that I am able to lock. However, I forgot to change the return value of my function - instead of returning true, it should return Some(item). Now with that update, is there an elegant way to approach this without 1) blocking a thread to convert Async<'U option> to 'U and 2) resorting to an imperative style looping?
I am unclear exactly what you are trying to do. If you want to convert from Async<'T> to 'T non-blocking, then you want to use let! in an async workflow. So the seq-like logic probably needs to be written as its own loop, as suggested below. If that doesn't help, then perhaps share more code, especially the intended types of items/item/returnIfLocked, as I'm unclear what's async in your example.
let asyncPick f (s:seq<_>) =
async {
use e = s.GetEnumerator()
let r = ref None
while Option.isNone(!r) && e.MoveNext() do
let! x = f e.Current
r := x
match !r with
| Some z -> return z
| None -> return failwith "no matching item found"
}
let chooser ax =
async {
let! x = ax
if x%3 = 0 then
return Some x
else
return None
}
let s = seq { for i in 1..10 do yield async { return i } }
let main() =
async {
let! firstChosen = s |> asyncPick chooser
return firstChosen
}
|> Async.RunSynchronously
|> printfn "%d"
main()
It is important to look at the signature of the function you are using,
Seq.pick expects a function which returns option<'t>, you want to use Seq.Filter which takes a function which returns a bool.
You will still have another problem though in that you have Async<bool> - you will need to convert that to a normal bool, but you could do this inside your 'Seq.Filter' function

Is it possible to use the pipeline operator to call a method on a returned object?

Is it possible to call a method on a returned object using the pipeline infix operator?
Example, I have a .Net class (Class1) with a method (Method1). I can currently code it like this:
let myclass = new Class1()
let val = myclass.Method1()
I know I could also code it as such
let val = new Class1().Method1()
However I would like to do be able to pipeline it (I am using the ? below where I don't know what to do):
new Class1()
|> ?.Method1()
Furthermore, say I had a method which returns an object, and I want to only reference it if that method didn't return null (otherwise bail?)
new Class1()
|> ?.Method1()
|> ?? ?.Method2()
Or to make it clearer, here is some C# code:
public void foo()
{
var myclass = new Class1();
Class2 class2 = myclass.Method1();
if (class2 == null)
{
return;
}
class2.Method2();
}
You can define something similar to your (??) operator fairly easily (but operators can't start with a question mark):
let (~??) f x =
if (x <> null) then
f x
Unfortunately, your pipelined code will need to be a bit more verbose (also, note that you can drop the new keyword for calling constructors):
Class1()
|> fun x -> x.Method1()
Putting it all together:
Class1()
|> fun x -> x.Method1()
|> ~?? (fun x -> x.Method2())
Using a custom operator as 'kvb' suggests is definitely an option. Another approach that you may find interesting in this case is to define your own 'computation expression' that automatically performs the check for null value at every point you specify. The code that uses it would look like this:
open System.Windows.Forms
// this function returns (0) null, or (1) btn whose parent is
// null or (2) button whose parent is not null
let test = function
| 1 -> new Button(Text = "Button")
| 2 -> new Button(Text = "Button", Parent = new Button(Text = "Parent"))
| _ -> null
let res =
safe { let! btn = test(2) // specify number here for testing
// if btn = null, this part of the computation will not execute
// and the computation expression immediately returns null
printfn "Text = %s" btn.Text
let! parent = btn.Parent // safe access to parent
printfn "Parent = %s" parent.Text // will never be null!
return parent }
As you can see, when you want to use a value that can potentially be 'null', you use let! inside the computation expression. The computation expression can be defined so that it immediately returns null if the value is null and runs the rest of the computation otherwise. Here is the code:
type SafeNullBuilder() =
member x.Return(v) = v
member x.Bind(v, f) =
if v = null then null else f(v)
let safe = new SafeNullBuilder()
BTW: If you want to learn more about this, it is very similar to 'Maybe' monad in Haskell (or computation working with F# option type).

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