Hi,
I don't have an F# compiler where I'm now, but as far as I can see:
1) RunningSumList should be a bigint, not a list. sum_tr just calculates the sum of the elements in the list. It does not give you a running sum, that you seem to be expecting.
2) This means that you can't call Length on it, or index it.
3) IncrementedSummedList is not declared anywhere, and in that line '=' means compare, not assign.
Try commenting out the for loop, and hover over RunningSumList. It should tell you it's of type bigint. Work from there.
hope this helps,
Kurt
Thanks Kurt, you're right. Now I found out how to get it working. I changed the recursion so accu is a list.
This code has the annoying feature that the list is reversed from original order: as I pull heads off the original list and stick heads onto the output list, the order of elements is reversed. I would prefer the output list to be [0; 1; 3; 6; 10; 15] .
To reverse a list, is the most efficient way to convert it to a string, reverse the string, and convert the string to a list? That would be ugly.
let rec sum_tr_aux (accu) = function
| [] -> accu
| h::t -> sum_tr_aux ( (h + (List.hd accu)) :: accu) t
let sum_tr list =
sum_tr_aux [0] list
let SummandList = [1; 2; 3; 4; 5]
let RunningSumList = sum_tr SummandList
print_any RunningSumList;;
val sum_tr_aux : int list -> int list -> int list
val sum_tr : int list -> int list
val SummandList : int list
val RunningSumList : int list
[15; 10; 6; 3; 1; 0]>
David
To reverse a list, just call List.rev.
It is common to write recursive list algorithms which generate the result in reverse order and then call "rev" as the last step.
Now I have that working, but I have a new problem. I want to make the recursion more complex by passing in another list and doing something with it. To do so, I defined a class containing two lists, and I want to access the object within the recursion, see the comments in the code below. But I get a complier error: "The type 'ListObject' is not defined"
How can I pass a user-defined object into a recursion and access its elements within the recursion? Thanks!
let List1 = [0.1; 0.2; 0.3; 0.4; 0.5]
let List2 = [1; 2; 3; 4; 5]
type ListPair =
val private _List1 : float list
val private _List2 : int list
new (List1, List2) =
{_List1 = List1; _List2 = List2}
member v.List1 = v._List1
member v.List2 = v._List2
let ListObject = new ListPair(List1, List2);
// I want to pass both lists List1 and List2 into the recursion so I pass the ListObject
let rec sum_tr_aux accu list_pair:ListPair =
let list_1 = list_pair.List1 // compiler says list_pair is of "indeterminate type"
let list_2 = list_pair.List2 // I want to use this also in the recursion; code to be added later
match list_1 with
| [] -> accu
| h::t -> sum_tr_aux ( (h + (List.hd accu)) :: accu ) t // compiler thinks something here is of type 'ListPair' but that is not what I intend. There should be only ints and int lists.
let sum_tr list =
sum_tr_aux [0] list
//let SummandList = [1; 2; 3; 4; 5]
let SummandList = ListObject.List2 // I don't want to have to break it out here.
let RunningSumList_rev = sum_tr SummandList
let RunningSumList = List.tl (List.rev RunningSumList_rev) // reverse the list and omit the first item
print_any RunningSumList
I am unclear of all the details, but your first stumbling point is
let rec sum_tr_aux accu list_pair:ListPair =
This declares the return type to be a ListPair. You really want this instead:
let rec sum_tr_aux accu (list_pair:ListPair) =
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I am trying to use tail-recursion as described in "F# for Scientists". In that book the function so defined is simply used interactively so my problem does not arise. (I can't seem to format this correctly in this composition window.)
How do I get the interpreter to understand that RunningSumList is a list not a float?
Thanks in advance ...
// -------------------------------------------------------------------------------
// Tail Recursion Example Code from book F# for Scientists
// -------------------------------------------------------------------------------
let rec sum_tr_aux (accu : bigint) = function
| [] -> accu
| h::t -> sum_tr_aux (h + accu) t
let sum_tr list =
sum_tr_aux 0I list
// Here is the code I added
let SummandList = [1I; 1I; 1I; 1I; 1I]
let RunningSumList = sum_tr SummandList
for element = 1 to RunningSumList.Length do
IncrementedSummedList.[element] = RunningSumList.[element] + 1