I am trying to delete the empty entries from a char list in sml.
This is my function but when I try to call it, it doesn't work and brings a fatal error.
fun no_spaces([]) = raise Empty
| no_spaces(e::f) = if(e = #" ") then no_spaces(f) else e::no_spaces(f);
no_spaces [#"a",#"a",#" ",#"d",#" "];
What am I doing wrong?
Thank you
P.S Or if this is not possible, then how can I delete empty spaces from a string?
I suspect that by raise Empty you meant to return the empty list rather than trigger a runtime error. You have indicated in the comments that you have fixed that particular bug, but it can't hurt to say a bit more about when you should return nil and when you should raise empty.
As a general rule of thumb, if you are defining a function which sends lists to lists and the output list is constructed by processing the elements of the input list one by one (e.g. return the list of even elements in an int list, which involves checking the parity of each element in turn) then your basis case should be something like fun f [] = [] because an empty input corresponds to nothing left to process, and if there is nothing left to process then there is nothing left to return.
But -- if the goal of the function on lists is to return an element of the list (such as the first even entry) then it is natural to raise Empty:
fun firstEven [] = raise Empty
| firstEven (x::xs) = if x mod 2 = 0 then x else firstEven xs;
Here raise Empty makes perfect: since [] doesn't contain any integer it doesn't contain a first even one to return. Thus, this is an error situation which (ideally) should be addressed with a handle somewhere in the calling function.
An argument could be made that raise Empty should never be used since SML provides an alternative error handling method which uses the option type constructor. The function firstEven could be rewritten
fun firstEven [] = NONE
| firstEven (x::xs) = if x mod 2 = 0 then SOME x else firstEven xs;
in this case the calling function would pattern match on the returned value(using the two patterns NONE and SOME x) rather than providing an exception handler. Conceptually this second approach is cleaner and possibly even more efficient (it seems to be in F#, see this, I'm not sure about SML).
See this for a discussion of the two error handling methods in SML.
Related
I am trying to return a value if something occurs when iterating through a list. Is it possible to return a string if X happens when iterating through the list, otherwise return another string if it never happens?
let f elem =
if not String.contains str elem then "false" in
List.iter f alphlist;
"true";
This is not working in my implemented method sadly.
OCaml is a functional language, so you pretty much need to concentrate on the values returned by functions. There are ways to return different values in exceptional cases, but (IMHO) the best way to learn is to start just with ordinary old nested function calls.
List.iter always returns the same value: (), which is known as unit.
For this reason, the expression List.iter f alphlist will also always return () no matter what f does.
There is another kind of list-handling function that works by maintaining a value across all the calls and returning that value at the end. It's called a fold.
So, if you want to compute some value that's a kind of summary of what it saw in all of the string lists in alphlist, you should probably be using a fold, say List.fold_left.
Here is a function any_has_7 that determines whether any one of the specified lists contains the integer 7:
let any_has_7 lists =
let has_7 sofar list =
sofar || List.mem 7 list
in
List.fold_left has_7 false lists
Here's how it looks when you run it:
# any_has_7 [[1;2]; [3;4]];;
- : bool = false
# any_has_7 [[1;2]; [5;7]; [8;9]];;
- : bool = true
In other words, this function does something a lot like what you're asking for. It returns true when one or more of the lists contains a certain value, and false when none of them contains the value.
I hope this helps.
I'm writing OCaml code that reads in a list and removes any char 'i's that appear at the beginning of the list. For instance, the list removeI['i';'i';'a';'c';'i'] should return -: int * char list = ['a';'c';'i'], because there are 2 'i's at the beginning of the list. I believe I know how to implement this properly; however, I want to return a tuple that includes the number of removed 'i's as well as the new list with the 'i's removed. I know that may sound confusing, but an example would be removeI['i';'i';'a';'c';'i'] -: int * char list = (2,['a';'c';'i']) There are 2 'i's removed and the new list with the removed 'i's.
So far, I have the following function:
let rec removeI list = match list with
| [] -> []
| x::[] -> x::[]
| x::y::t1 -> if x='i' then removeI (y::t1)
else list;;
This returns the list with the first 'i's removed, but I keep getting errors when I try to include the number of removed 'i's as part of a tuple. Could anyone push me in the right direction? Thanks!
Your recursive call will return the same type as the function overall. So if you change the function to reuturn (count, list), then the recursive call will return that also.
Generally you want to gather up the returned values and calculate a new value from them.
Right now you have just this:
removeI (y :: t1)
But you need something more like this:
let (count, list) = removeI (y :: t1) in
(* Newly calculated count and list *)
Note that your base cases also have to return a count and a list.
As a side comment, I don't actually understand your second base case. You don't want to remove an 'i' if it's the only thing in the list? That doesn't seem particularly consistent.
Here's what I've got so far...
fun positive l1 = positive(l1,[],[])
| positive (l1, p, n) =
if hd(l1) < 0
then positive(tl(l1), p, n # [hd(l1])
else if hd(l1) >= 0
then positive(tl(l1), p # [hd(l1)], n)
else if null (h1(l1))
then p
Yes, this is for my educational purposes. I'm taking an ML class in college and we had to write a program that would return the biggest integer in a list and I want to go above and beyond that to see if I can remove the positives from it as well.
Also, if possible, can anyone point me to a decent ML book or primer? Our class text doesn't explain things well at all.
You fail to mention that your code doesn't type.
Your first function clause just has the variable l1, which is used in the recursive. However here it is used as the first element of the triple, which is given as the argument. This doesn't really go hand in hand with the Hindley–Milner type system that SML uses. This is perhaps better seen by the following informal thoughts:
Lets start by assuming that l1 has the type 'a, and thus the function must take arguments of that type and return something unknown 'a -> .... However on the right hand side you create an argument (l1, [], []) which must have the type 'a * 'b list * 'c list. But since it is passed as an argument to the function, that must also mean that 'a is equal to 'a * 'b list * 'c list, which clearly is not the case.
Clearly this was not your original intent. It seems that your intent was to have a function that takes an list as argument, and then at the same time have a recursive helper function, which takes two extra accumulation arguments, namely a list of positive and negative numbers in the original list.
To do this, you at least need to give your helper function another name, such that its definition won't rebind the definition of the original function.
Then you have some options, as to which scope this helper function should be in. In general if it doesn't make any sense to be calling this helper function other than from the "main" function, then it should not be places in a scope outside the "main" function. This can be done using a let binding like this:
fun positive xs =
let
fun positive' ys p n = ...
in
positive' xs [] []
end
This way the helper function positives' can't be called outside of the positive function.
With this take care of there are some more issues with your original code.
Since you are only returning the list of positive integers, there is no need to keep track of the
negative ones.
You should be using pattern matching to decompose the list elements. This way you eliminate the
use of taking the head and tail of the list, and also the need to verify whether there actually is
a head and tail in the list.
fun foo [] = ... (* input list is empty *)
| foo (x::xs) = ... (* x is now the head, and xs is the tail *)
You should not use the append operator (#), whenever you can avoid it (which you always can).
The problem is that it has a terrible running time when you have a huge list on the left hand
side and a small list on the right hand side (which is often the case for the right hand side, as
it is mostly used to append a single element). Thus it should in general be considered bad
practice to use it.
However there exists a very simple solution to this, which is to always concatenate the element
in front of the list (constructing the list in reverse order), and then just reversing the list
when returning it as the last thing (making it in expected order):
fun foo [] acc = rev acc
| foo (x::xs) acc = foo xs (x::acc)
Given these small notes, we end up with a function that looks something like this
fun positive xs =
let
fun positive' [] p = rev p
| positive' (y::ys) p =
if y < 0 then
positive' ys p
else
positive' ys (y :: p)
in
positive' xs []
end
Have you learned about List.filter? It might be appropriate here - it takes a function (which is a predicate) of type 'a -> bool and a list of type 'a list, and returns a list consisting of only the elements for which the predicate evaluates to true. For example:
List.filter (fn x => Real.>= (x, 0.0)) [1.0, 4.5, ~3.4, 42.0, ~9.0]
Your existing code won't work because you're comparing to integers using the intversion of <. The code hd(l1) < 0 will work over a list of int, not a list of real. Numeric literals are not automatically coerced by Standard ML. One must explicitly write 0.0, and use Real.< (hd(l1), 0.0) for your test.
If you don't want to use filter from the standard library, you could consider how one might implement filter yourself. Here's one way:
fun filter f [] = []
| filter f (h::t) =
if f h
then h :: filter f t
else filter f t
I´m a newbie in SML and I´d like to update my function so that it has two outputs: a list AND 1 or 0. The function was proposed here: SML: Remove the entry from the List. It returns an updated list without a row that contains ´elem´.
fun removeElem elem myList = filter (fn x => x <> elem) myList
The function should return a new list AND 1, if a raw has been deleted. Otherwise, it should return an old list AND 0.
Any hint or example is highly appreciated. Thanks.
Note that all SML functions take a single input and return a single output. Instead, think of returning a tuple containing the new list and a flag indicating whether any elements were removed. One possibility is to use a couple of functions from the standard basis to test whether elem is in myList and build up a tuple consisting of that and the results from the filter shown in the question. The test might look like:
Option.isSome (List.find (fn x => x = elem) myList)
There are more concise ways to write that, but it shows the idea. Note that it returns a bool instead of an int; this is more precise, so I won't convert to the integers requested in the question.
A drawback of the above is that it requires traversing the list twice. To avoid that, consider the type that the function must return: a tuple of a list without elem and a flag showing whether any elems have been removed. We can then write a function that take a new value and a (valid) tuple, and returns a valid tuple. One possibility:
fun update(x, (acc, flag)) = if x = elem then (acc, true) else (x :: acc, flag)
We can then apply update to each element of myList one-by-one. Since we want the order of the list to stay the same, apart from the removed elements, we should work through myList from right to left, accumulating the results into an initially empty list. The function foldr will do this directly:
foldr update ([], false) myList
However, there is a lot of logic hidden in the foldr higher-order function.
To use this as a learning exercise, I'd suggest using this problem to implement the function in a few ways:
as a recursive function
as a tail-recursive function
using the higher order functions foldl and foldr
Understanding the differences between these versions will shed a lot of light on how SML works. For each version, let the types guide you.
As has been stated in some of your previous questions; Returning 0 or 1 as an indicator for what happened is a really bad design, as you don't get any guarantees from the types, whether or not you will get -42 as the result. Since you are working with a strongly typed language, you might as well use this to your advantage:
The most obvious thing to do instead would be to return a boolean, as that is actually what you are emulating with 0 and 1. In this case you could return the pair (true, modified_list) or (false, original_list).
Since you want to associate some data with the result, there is another -- perhaps, for some, less -- obvious thing to do; Return the result as an option, indication a change in the list as SOME modified_list and indication no change as NONE.
In either case you would have to "remember" whether or not you actually removed any elements from the original list, and thus you can't use the filter function. Instead you would have to do this for yourself using somewhat the same code as you originally posted.
One way would be like this
fun removeElem _ [] = (false, [])
| removeElem elem (x::xs) =
let
val (b, xs') = removeElem elem xs
in
if elem = x then
(true, xs')
else
(b, x::xs')
end
Another way would be to use a accumulator parameter to store the resulting list
fun removeElem elem xs =
let
fun removeElem' [] true res = SOME (rev res)
| removeElem' [] false _ = NONE
| removeElem' (x::xs) b res =
if elem = x then
removeElem' xs true res
else
removeElem' xs b (x::res)
in
removeElem' xs false []
end
Since the solution is being built in the reverse order, we reverse the result just before we return it. This makes sure that we don't have to use the costly append operation when adding elements to the result list: res # [x]
I need a function that recursively returns (not prints) all values in a list with each iteration. However, every time I try programming this my function returns a list instead.
let rec elements list = match list with
| [] -> []
| h::t -> h; elements t;;
I need to use each element each time it is returned in another function that I wrote, so I need these elements one at a time, but I can't figure this part out. Any help would be appreciated.
Your function is equivalent to :
let rec elements list =
match list with
| [] -> []
| h :: t -> elements t
This happens because a ; b evaluates a (and discards the result) and then evaluates and returns b. Obviously, this is in turn equivalent to:
let elements (list : 'a list) = []
This is not a very useful function.
Before you try solving this, however, please understand that Objective Caml functions can only return one value. Returning more than one value is impossible.
There are ways to work around this limitation. One solution is to pack all the values you wish to return into a single value: a tuple or a list, usually. So, if you need to return an arbitrary number of elements, you would pack them together into a list and have the calling code process that list:
let my_function () = [ 1 ; 2; 3; 4 ] in (* Return four values *)
List.iter print_int (my_function ()) (* Print four values *)
Another less frequent solution is to provide a function and call it on every result:
let my_function action =
action 1 ;
action 2 ;
action 3 ;
action 4
in
my_function print_int
This is less flexible, but arguably faster, than returning a list : lists can be filtered, sorted, stored...
Your question is kind of confusing - you want a function that returns all the values in a list. Well the easiest way of returning a variable number of values is using a list! Are you perhaps trying to emulate Python generators? OCaml doesn't have anything similar to yield, but instead usually accomplishes the same by "passing" a function to the value (using iter, fold or map).
What you have currently written is equivalent to this in Python:
def elements(list):
if(len(list) == 0):
return []
else:
list[0]
return elements(list[1:])
If you are trying to do this:
def elements(list):
if(len(list) > 0):
yield list[0]
# this part is pretty silly but elements returns a generator
for e in elements(list[1:]):
yield e
for x in elements([1,2,3,4,5]):
dosomething(x)
The equivalent in OCaml would be like this:
List.iter dosomething [1;2;3;4;5]
If you are trying to determine if list a is a subset of list b (as I've gathered from your comments), then you can take advantage of List.mem and List.for_all:
List.for_all (fun x -> List.mem x b) a
fun x -> List.mem x b defines a function that returns true if the value x is equal to any element in (is a member of) b. List.for_all takes a function that returns a bool (in our case, the membership function we just defined) and a list. It applies that function to each element in the list. If that function returns true for every value in the list, then for_all returns true.
So what we have done is: for all elements in a, check if they are a member of b. If you are interested in how to write these functions yourself, then I suggest reading the source of list.ml, which (assuming *nix) is probably located in /usr/local/lib/ocaml or /usr/lib/ocaml.