Sorry my response has been slow.
Let's break your code out as you have started.
Line 1:
Define a recursive function that takes one argument xs
Line 2:
Attempt to resolve the return value for this recursive function based on a match of the argument.
Line 3:
If xs matches an empty list, return a 0 value.
Line 4:
This is the "for all else" case, i.e. for all other xs that are not an empty list, handle the argument with the rest of this line. The "::" is the list head operator, i.e. if I state
"Hello" :: ["World"]
I get a new list
["Hello"; "World"]
So, "y::ys -> y + sumList ys" will result as (in simple terms), "Take the first item from the list" (y::), "Define a function that results in ys" (ys ->), "that is the addition of y (the extracted first value) and recursive accumulation of ys" (y + SumList ys). Note that when I say "recursive" here, I mean "for the next iteration of y" for the evaluation. The recursion will cause this to execute over each item in the list and perform the evaluation. The tail-call here keeps "pushing" down until the list is exhausted and then upon return from each "pop", the function performs the addition until the stack has nothing left to pop.
In this context, F# (and OCaml) run the function until the list is exhausted (left hand side of "::" provides no more instances of y) as no other termination criteria have been specified.
Further references on this can be found here:
Let me know if further information is needed. I'm also trying to describe this in simple terms, so let me know if my language is not concise/precise.
"Where do you find out what :: means" - a good question. You can't exactly google for '::' I guess we need to place this higher up the quick start material...
The bottom-line answer is of course the source - the following is the definition of lists in prim-types.fs
1 2 3 4 5 6 7
type 'a list = | ([]) : 'a list | (::) : 'a * 'a list -> 'a list
This is the definition of F# lists. The first line says we're defining a type, where the elements carried by the list are of some variable type ('a)
1 2 3
type 'a list =
the start of each of the next two lines says the list is either empty '[]' or a cons '::'
1 2 3 4
| ([]) | (::)
The bits to the right of these says what's involved in being an empty list or a cons node in a list. An empty list carries no data, so it's just a list and nothing else:
1 2 3
| ([]) : 'a list
A cons cell of a list is constructed from a pair of a head element and a tail list:
1 2 3
| (::) : 'a * 'a list -> 'a list
So that's what '::' means - it's represents the head and tail of a list.
Ahhhh I begin to see now. So am I correct in saying:
1
let myList = x::y
is the equivalent of the following in Lisp?:
(setq myList (cons x y) )
I will print out and read that online book that optionsScalper linked to. I'm sure I will have more questions as I read it. Thank you guys for the responses so far.
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I need some help with how to speak F#. First where do I find out what the operators mean?
IE where do I find out what -> means?
By speaking I mean if I see this:
let rec sumList xs =
match xs with
[] -> 0
| y::ys -> y + sumList ys
I can speak that like:
Line 1:
let the function sumList equal the results of the following
Line 2:
match the list argument xs with
Line 3:
if xs matches an empty list return 0
Line 4:
***this is where I am stuck*** what does the operator :: mean? does it mean the first value in a list where the left side is the value and the right side is the list? Where does ys come from? does it just mean any list where the type matches xs? Also the call looks recursive how is ys being incremented to the next object in the list when it's being passed to sumList? Does the :: operator do this? Is it like a car that truncates the list and yields the first element?
All and any help will be much appreciated.