Was point free functions able to inline? - f#

let inline myfunction x y = ...
let inline mycurried = myfunction x // error, only functions may be marked inline
It seems impossible to explicitly inline curried functions.
So whenever mycurried is called, it won't get inlined even if myfunction is inlined properly, is it correct?
So can this be regarded as one of the drawback of curried function?

I think your question is whether a point-free function can be inlined or not.
The limitation you found is not because of the curried function.
Note that in your example the curried function is on the right side, on the left side you have a point-free function.
F# only allows functions to be inline, not constants.
I principle you may think this could be considered as a bug given that type inference is smart enough to find out that is a (point-free) function, but read the notes from Tomas regarding side-effects.
Apparently when the compiler finds on the left side only an identifier it fails with this error:
let inline myfunction x y = x + y
let inline mycurried = myfunction 1
--> Only functions may be marked 'inline'
As Brian said a workaround is adding an explicit parameter on both sides:
let inline mycurried x = (myfunction 1) x
but then your function is no longer point-free, it's the same as:
let inline mycurried x = myfunction 1 x
Another way might be to add an explicit generic parameter:
let inline mycurried<'a> = myfunction 1
when generic parameters are present explicitly on the left side it compiles.
I wish they remove the error message and turn it a warning, something like:
Since only functions can be 'inline' this value will be compiled as a function.
UPDATE
Thanks Tomas for your answer (and your downvote).
My personal opinion is this should be a warning, so you are aware that the semantic of your code will eventually change, but then it's up to you to decide what to do.
You say that inline is "just an optimization" but that's not entirely true:
. Simply turning all your functions inline does not guarantee optimal code.
. You may want to use static constraints and then you have to use inline.
I would like to be able to define my (kind-of) generic constants, as F# library already does (ie: GenericZero and GenericOne). I know my code will be pure, so I don't care if it is executed each time.

I think you just need to add an explicit parameter to both sides (though I have not tried):
let inline myfunction x y = ...
let inline mycurried y = myfunction 42 y // or whatever value (42)

The compiler only allows inline on let bindings that define a function. This is essentially the same thing as what is happening with F# value restriction (and see also here). As Brian says, you can easily workaround this by adding a parameter to your function.
Why does this restriction exist? If it was not there, then adding inline would change the meaning of your programs and that would be bad!
For example, say you have a function like this (which creates mutable state and returns a counter function):
let createCounter n =
let state = ref n
(fun () -> incr state; !state)
Now, the following code:
let counter = createCounter 0
... creates a single global function that you can use multiple times (call counter()) and it will give you unique integers starting from 1. If you could mark it as inline:
let inline counter = createCounter 0
... then every time you use counter(), the compiler should replace that with createCounter 0 () and so you would get 1 every time you call the counter!

Related

Creating an 'add' computation expression

I'd like the example computation expression and values below to return 6. For some the numbers aren't yielding like I'd expect. What's the step I'm missing to get my result? Thanks!
type AddBuilder() =
let mutable x = 0
member _.Yield i = x <- x + i
member _.Zero() = 0
member _.Return() = x
let add = AddBuilder()
(* Compiler tells me that each of the numbers in add don't do anything
and suggests putting '|> ignore' in front of each *)
let result = add { 1; 2; 3 }
(* Currently the result is 0 *)
printfn "%i should be 6" result
Note: This is just for creating my own computation expression to expand my learning. Seq.sum would be a better approach. I'm open to the idea that this example completely misses the value of computation expressions and is no good for learning.
There is a lot wrong here.
First, let's start with mere mechanics.
In order for the Yield method to be called, the code inside the curly braces must use the yield keyword:
let result = add { yield 1; yield 2; yield 3 }
But now the compiler will complain that you also need a Combine method. See, the semantics of yield is that each of them produces a finished computation, a resulting value. And therefore, if you want to have more than one, you need some way to "glue" them together. This is what the Combine method does.
Since your computation builder doesn't actually produce any results, but instead mutates its internal variable, the ultimate result of the computation should be the value of that internal variable. So that's what Combine needs to return:
member _.Combine(a, b) = x
But now the compiler complains again: you need a Delay method. Delay is not strictly necessary, but it's required in order to mitigate performance pitfalls. When the computation consists of many "parts" (like in the case of multiple yields), it's often the case that some of them should be discarded. In these situation, it would be inefficient to evaluate all of them and then discard some. So the compiler inserts a call to Delay: it receives a function, which, when called, would evaluate a "part" of the computation, and Delay has the opportunity to put this function in some sort of deferred container, so that later Combine can decide which of those containers to discard and which to evaluate.
In your case, however, since the result of the computation doesn't matter (remember: you're not returning any results, you're just mutating the internal variable), Delay can just execute the function it receives to have it produce the side effects (which are - mutating the variable):
member _.Delay(f) = f ()
And now the computation finally compiles, and behold: its result is 6. This result comes from whatever Combine is returning. Try modifying it like this:
member _.Combine(a, b) = "foo"
Now suddenly the result of your computation becomes "foo".
And now, let's move on to semantics.
The above modifications will let your program compile and even produce expected result. However, I think you misunderstood the whole idea of the computation expressions in the first place.
The builder isn't supposed to have any internal state. Instead, its methods are supposed to manipulate complex values of some sort, some methods creating new values, some modifying existing ones. For example, the seq builder1 manipulates sequences. That's the type of values it handles. Different methods create new sequences (Yield) or transform them in some way (e.g. Combine), and the ultimate result is also a sequence.
In your case, it looks like the values that your builder needs to manipulate are numbers. And the ultimate result would also be a number.
So let's look at the methods' semantics.
The Yield method is supposed to create one of those values that you're manipulating. Since your values are numbers, that's what Yield should return:
member _.Yield x = x
The Combine method, as explained above, is supposed to combine two of such values that got created by different parts of the expression. In your case, since you want the ultimate result to be a sum, that's what Combine should do:
member _.Combine(a, b) = a + b
Finally, the Delay method should just execute the provided function. In your case, since your values are numbers, it doesn't make sense to discard any of them:
member _.Delay(f) = f()
And that's it! With these three methods, you can add numbers:
type AddBuilder() =
member _.Yield x = x
member _.Combine(a, b) = a + b
member _.Delay(f) = f ()
let add = AddBuilder()
let result = add { yield 1; yield 2; yield 3 }
I think numbers are not a very good example for learning about computation expressions, because numbers lack the inner structure that computation expressions are supposed to handle. Try instead creating a maybe builder to manipulate Option<'a> values.
Added bonus - there are already implementations you can find online and use for reference.
1 seq is not actually a computation expression. It predates computation expressions and is treated in a special way by the compiler. But good enough for examples and comparisons.

When to use parentheses when calling a function in f#?

I'm learning about f# and I understand you don't need to use parentheses when calling a function.
Ex
let addOne arg1 =
arg1 + 1
addOne 1
vs
this.GetType()
Why do I have to use parentheses on the second function?
There is a bit of a mismatch between working with .NET libraries and working with F# libraries when it comes to parameters, but you can generally see () not as parentheses, but as a special value of type unit that means "no useful information".
This means that when you say:
addOne 1
You are calling addOne with a value - number 1 - as a parameter. Now, when you apply the same reading to the second example:
this.GetType()
You can read this as calling this.GetType with a value - the special () unit value as a parameter. If you wanted to be consistent, you could write this with space too:
this.GetType ()
In practice, most people will omit the space when calling .NET libraries. When you do not write the space, F# also supports method chaining so you can write e.g. foo().bar().
Many F# functions taking multiple parameters will use the "curried" form, which means that the parameters need to be separated by spaces. For example:
let add a b = a + b
let mul a b = a * b
add 10 (mul 20 3)
Here, you need parentheses around the second expression, so that the compiler knows how to parse the code. This is in contrast with typical .NET methods, which take parameters as a tuple. F# tuples are written as (10, "hello") and so you can see a method call as an ordinary call accepting a tuple:
some.Operation (10, "Hello")
Again, typically you wouldn't write the space here, because you know this is actually a .NET method call, rather than "passing tuple to a function", but conceptually, you can think of it in both ways.
This is the summary - there are a few corner cases where method calls do not really behave like tuples (e.g. when it comes to named parameters), but this way of thinking about it should give you an idea about how things work.

Passing inline function to inline function in F#

Is there any way to trick the compiler to take inline function A as a parameter of inline function B and create one big inline function with no calls?
Let's assume we have piece of code defines as below:
let inline action i = printfn "%d" i // printfn is for demo, originally some math
let inline iter lo hi func = for i = lo to hi do func i
iter 0 10 action
Usually, inline functions cannot be passed as function (they can, but they are not inline anymore, as they cannot be inlined into existing, already compiled function, so they get passed as "regular" collapsed function).
In this this case though, both function are inline so when iter gets expanded it is technically possible to inline action into it. It does not happen (generated IL definitely CALLS action) and JIT compiler doesn't seem to inline action either.
I wouldn't care but this iter contains some additional logic which needs to be hidden, but action is very short and whole thing is time critical.
Anyway, imperative code which I would expect the inline version to be expanded to is 100% faster (takes 50% of the time).
for i = lo to hi do action i
Suggestions? F# 4.0 maybe? Some magic keywords?

Why should successive arguments involving method application be parenthesized?

Suppose the following F# function:
let f (x:int) (y:int) = 42
I suspect that the reason I need to parenthesize the arguments in example z2 below is because of type inference; my example might not be great, but it's easy to imagine how things could get very hairy:
let z1 = f 2 3
let z2 = f 2 (f 3 5)
However, the following case is less clear to me:
let rng = System.Random()
let z3 = f 1 rng.Next(5)
z3 doesn't work, with a clear error message:
error FS0597: Successive arguments should be separated by spaces or
tupled, and arguments involving function or method applications should
be parenthesized.
Fixing it is trivial (parenthesize all the things), but what I am not clear about is why such an expression is a problem. I assume this has to do with type inference again, but naively, it seems to me that here, methods having a list of arguments surrounded by a parenthesis would actually make things less potentially ambiguous. Does this have to do with the fact that rng.Next(5) is equivalent to rng.Next 5?
Can someone hint, give an example or explain why this rule is needed, or what type of problems would arise if it were not there?
I think that the problem here is that the code could be treated as:
let z3 = f 1 rng.Next (5)
This would be equivalent to omitting the parentheses and so it would be calling f with 3 arguments (the second being a function value). This sounds a bit silly, but the compiler actually does not strictly insist on having a space between parameters. For example:
let second a b = b
add 5(1) // This works fine and calls 'add 5 1'
add id(1) // error FS0597
add rng.Next(5) // error FS0597
add (rng.Next(5)) // This works fine (partial application)
I think the problem is that if you look at the sequence of the 4 examples in the above snippet, it is not clear which behavior should you get in the second and the third case.
The call rng.Next(5) is still treated in a special way, because F# allows you to chain calls if they are formed by single-parameter application without space. For example rng.Next(5).ToString(). But, for example, writing second(1)(2) is allowed, but second(1)(2).ToString() will not work.

F# Functions vs. Values

This is a pretty simple question, and I just wanted to check that what I'm doing and how I'm interpreting the F# makes sense. If I have the statement
let printRandom =
x = MyApplication.getRandom()
printfn "%d" x
x
Instead of creating printRandom as a function, F# runs it once and then assigns it a value. So, now, when I call printRandom, instead of getting a new random value and printing it, I simply get whatever was returned the first time. I can get around this my defining it as such:
let printRandom() =
x = MyApplication.getRandom()
printfn "%d" x
x
Is this the proper way to draw this distinction between parameter-less functions and values? This seems less than ideal to me. Does it have consequences in currying, composition, etc?
The right way to look at this is that F# has no such thing as parameter-less functions. All functions have to take a parameter, but sometimes you don't care what it is, so you use () (the singleton value of type unit). You could also make a function like this:
let printRandom unused =
x = MyApplication.getRandom()
printfn "%d" x
x
or this:
let printRandom _ =
x = MyApplication.getRandom()
printfn "%d" x
x
But () is the default way to express that you don't use the parameter. It expresses that fact to the caller, because the type is unit -> int not 'a -> int; as well as to the reader, because the call site is printRandom () not printRandom "unused".
Currying and composition do in fact rely on the fact that all functions take one parameter and return one value.
The most common way to write calls with unit, by the way, is with a space, especially in the non .NET relatives of F# like Caml, SML and Haskell. That's because () is a singleton value, not a syntactic thing like it is in C#.
Your analysis is correct.
The first instance defines a value and not a function. I admit this caught me a few times when I started with F# as well. Coming from C# it seems very natural that an assignment expression which contains multiple statements must be a lambda and hence delay evaluated.
This is just not the case in F#. Statements can be almost arbitrarily nested (and it rocks for having locally scoped functions and values). Once you get comfortable with this you start to see it as an advantage as you can create functions and continuations which are inaccessible to the rest of the function.
The second approach is the standard way for creating a function which logically takes no arguments. I don't know the precise terminology the F# team would use for this declaration though (perhaps a function taking a single argument of type unit). So I can't really comment on how it would affect currying.
Is this the proper way to draw this
distinction between parameter-less
functions and values? This seems less
than ideal to me. Does it have
consequences in currying, composition,
etc?
Yes, what you describe is correct.
For what its worth, it has a very interesting consequence able to partially evaluate functions on declaration. Compare these two functions:
// val contains : string -> bool
let contains =
let people = set ["Juliet"; "Joe"; "Bob"; "Jack"]
fun person -> people.Contains(person)
// val contains2 : string -> bool
let contains2 person =
let people = set ["Juliet"; "Joe"; "Bob"; "Jack"]
people.Contains(person)
Both functions produce identical results, contains creates its people set on declaration and reuses it, whereas contains2 creates its people set everytime you call the function. End result: contains is slightly faster. So knowing the distinction here can help you write faster code.
Assignment bodies looking like function bodies have cought a few programmers unaware. You can make things even more interesting by having the assignment return a function:
let foo =
printfn "This runs at startup"
(fun () -> printfn "This runs every time you call foo ()")
I just wrote a blog post about it at http://blog.wezeku.com/2010/08/23/values-functions-and-a-bit-of-both/.

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