erlang an error occurred when evaluating an arithmetic expression - erlang

i am a beginner of erlang.
this is my code:
-module(squsum).
-export([main/0]).
ssum(1) -> 1;
ssum(N) -> N*N + ssum(N-1).
main() ->
{_,T} = io:fread("","~d"),
io:fwrite("~p~n",[ssum(T)]).
why will it have such a problem?
** exception error: an error occurred when evaluating an arithmetic expression
in function squsum:ssum/1 (squsum.erl, line 5)
in call from squsum:main/0 (squsum.erl, line 9)

T is a list containing the value, I guess it is the symmetric point of view of IO:fwrite. so simply use:
main() -> {ok,[T]} = io:fread("","~d"), io:fwrite("~p~n",[ssum(T)]).

I'm not too familiar with erlang, but if it is at all possible for T to be negative, then your recursive function would never end.
Similarly, if T=0, the function would never end.

This is really on comment on Pascal's answer: just to add that io:fread/2 returns a list of the terms specified in the format string --- even if the format string has just one term, it returns a list with one element.
The erlang documentation is quite good. io:fread/2 is at http://erlang.org/doc/man/io.html#fread-2

Related

I don't understand this map tuple key compilation error, in F#

Here is a function:
let newPositions : PositionData list =
positions
|> List.filter (fun x ->
let key = (x.Instrument, x.Side)
match brain.Positions.TryGetValue key with
| false, _ ->
// if we don't know the position, it's new
true
| true, p when x.UpdateTime > p.UpdateTime ->
// it's newer than the version we have, it's new
true
| _ ->
false
)
it compiles at expected.
let's focus on two lines:
let key = (x.Instrument, x.Side)
match brain.Positions.TryGetValue key with
brain.Positions is a Map<Instrument * Side, PositionData> type
if I modify the second line to:
match brain.Positions.TryGetValue (x.Instrument, x.Side) with
then the code will not compile, with error:
[FS0001] This expression was expected to have type
'Instrument * Side'
but here has type
'Instrument'
but:
match brain.Positions.TryGetValue ((x.Instrument, x.Side)) with
will compile...
why is that?
This is due to method call syntax.
TryGetValue is not a function, but a method. A very different thing, and a much worse thing in general. And subject to some special syntactic rules.
This method, you see, actually has two parameters, not one. The first parameter is a key, as you expect. And the second parameter is what's known in C# as out parameter - i.e. kind of a second return value. The way it was originally meant to be called in C# is something like this:
Dictionary<int, string> map = ...
string val;
if (map.TryGetValue(42, out val)) { ... }
The "regular" return value of TryGetValue is a boolean signifying whether the key was even found. And the "extra" return value, denoted here out val, is the value corresponding to the key.
This is, of course, extremely awkward, but it did not stop the early .NET libraries from using this pattern very widely. So F# has special syntactic sugar for this pattern: if you pass just one parameter, then the result becomes a tuple consisting of the "actual" return value and the out parameter. Which is what you're matching against in your code.
But of course, F# cannot prevent you from using the method exactly as designed, so you're free to pass two parameters as well - the first one being the key and the second one being a byref cell (which is F# equivalent of out).
And here is where this clashes with the method call syntax. You see, in .NET all methods are uncurried, meaning their arguments are all effectively tupled. So when you call a method, you're passing a tuple.
And this is what happens in this case: as soon as you add parentheses, the compiler interprets that as an attempt to call a .NET method with tupled arguments:
brain.Positions.TryGetValue (x.Instrument, x.Side)
^ ^
first arg |
second arg
And in this case it expects the first argument to be of type Instrument * Side, but you're clearly passing just an Instrument. Which is exactly what the error message tells you: "expected to have type 'Instrument * Side'
but here has type 'Instrument'".
But when you add a second pair of parens, the meaning changes: now the outer parens are interpreted as "method call syntax", and the inner parens are interpreted as "denoting a tuple". So now the compiler interprets the whole thing as just a single argument, and all works as before.
Incidentally, the following will also work:
brain.Positions.TryGetValue <| (x.Instrument, x.Side)
This works because now it's no longer a "method call" syntax, because the parens do not immediately follow the method name.
But a much better solution is, as always, do not use methods, use functions instead!
In this particular example, instead of .TryGetValue, use Map.tryFind. It's the same thing, but in proper function form. Not a method. A function.
brain.Positions |> Map.tryFind (x.Instrument, x.Side)
Q: But why does this confusing method even exist?
Compatibility. As always with awkward and nonsensical things, the answer is: compatibility.
The standard .NET library has this interface System.Collections.Generic.IDictionary, and it's on that interface that the TryGetValue method is defined. And every dictionary-like type, including Map, is generally expected to implement that interface. So here you go.
In future, please consider the Stack Overflow guidelines provided under How to create a Minimal, Reproducible Example. Well, minimal and reproducible the code in your question is, but it shall also be complete...
…Complete – Provide all parts someone else needs to reproduce your
problem in the question itself
That being said, when given the following definitions, your code will compile:
type Instrument() = class end
type Side() = class end
type PositionData = { Instrument : Instrument; Side : Side; }
with member __.UpdateTime = 0
module brain =
let Positions = dict[(Instrument(), Side()), {Instrument = Instrument(); Side = Side()}]
let positions = []
Now, why is that? Technically, it is because of the mechanism described in the F# 4.1 Language Specification under §14.4 Method Application Resolution, 4. c., 2nd bullet point:
If all formal parameters in the suffix are “out” arguments with byref
type, remove the suffix from UnnamedFormalArgs and call it
ImplicitlyReturnedFormalArgs.
This is supported by the signature of the method call in question:
System.Collections.Generic.IDictionary.TryGetValue(key: Instrument * Side, value: byref<PositionData>)
Here, if the second argument is not provided, the compiler does the implicit conversion to a tuple return type as described in §14.4 5. g.
You are obviously familiar with this behaviour, but maybe not with the fact that if you specify two arguments, the compiler will see the second of them as the explicit byref "out" argument, and complains accordingly with its next error message:
Error 2 This expression was expected to have type
PositionData ref
but here has type
Side
This misunderstanding changes the return type of the method call from bool * PositionData to bool, which consequently elicits a third error:
Error 3 This expression was expected to have type
bool
but here has type
'a * 'b
In short, your self-discovered workaround with double parentheses is indeed the way to tell the compiler: No, I am giving you only one argument (a tuple), so that you can implicitly convert the byref "out" argument to a tuple return type.

Missing entries in the stack trace in Erlang

When I compile the following module:
-module(x).
-export([inp/0]).
f(X) ->
g(X).
g(X) ->
error(X).
inp() ->
f(123).
And evaluate x:inp() I get the following output:
[{x,g,1,[{file,"x.erl"},{line,8}]},
{erl_eval,do_apply,6,[{file,"erl_eval.erl"},{line,689}]},
{erl_eval,try_clauses,8,[{file,"erl_eval.erl"},{line,919}]},
{shell,exprs,7,[{file,"shell.erl"},{line,686}]},
{shell,eval_exprs,7,[{file,"shell.erl"},{line,642}]},
{shell,eval_loop,3,[{file,"shell.erl"},{line,627}]}]
Where did the calls to f and inp go? This behavior makes it significantly harder to track the causes of errors in my case, how can I get the full stacktrace?
I am using OTP24
This is because of Erlang's compiler optimization. The compiler deduces that, in this specific case, functions f() and inp() are only used to pass a number to function g() and they cannot be used for anything else, not even theoretically. So the compiler "optimizes them away" and de facto only compiles function g().

.fsx script ignoring a function call when I add a parameter to it

Alright, so I'm a happy fsx-script programmer, because I love how I can have the compiler shout at me when I do mistakes before they show up at runtime.
However I've found a case which really bothers me because I was expecting that by doing some refactoring (i.e.: adding an argument to a function) I was going to be warned by the compiler about all the places where I need to put the new argument. But, not only this did not happen, fsharpi ran my script and ignored the function call completely!! :(
How can I expect to refactor my scripts if this happens?
Here is my code:
let Foo (bar: string) =
Console.WriteLine("I received " + bar)
Foo("hey")
It works.
Now, later, I decide to add a second argument to the function (but I forget to add the argument to all the calls to it):
let Foo (bar: string) (baz: bool) =
Console.WriteLine("I received " + bar)
Foo("hey")
The result of this is: instead of the compiler telling me that I'm missing an argument, it is fsharpi running the script and ignoring the call to Foo! Why?
PS: I know the difference between currying and tuples, so I know Foo("hey") becomes a function (instead of a function call), because of partial application. But I want to understand better why the compiler is not expecting a function evaluation here, instead of seeing a function and ignoring it. Can I enable a warningAsError somehow? I would like to avoid resorting to using tuples in order to workaround this problem.
The fsharpi (or fsi if you're on Windows) interpreter makes no distinction between running a script and typing code at the interactive prompt (or, most often, submitting code from your editor via a select-and-hit-Alt-Enter keyboard shortcut).
Therefore, if you got what you're asking for -- fsharpi issuing a warning whenever a script line has a return value that isn't () -- it would ruin the value of fsharpi for the most common use case, which is people using an interactive fsharpi session to test their code, and rapidly iterate through non-working prototypes to get to one that works correctly. This is one of F#'s great strengths, and giving you what you're asking for would eliminate that strength. It is therefore never going to happen.
BUT... that doesn't mean that you're sunk. If you have functions that return unit, and you want fsharpi to give you a compile-time error when you refactor them to take more arguments, you can do it this way. Replace all occurrences of:
Foo("hey")
with:
() = Foo("hey")
As long as the function Foo has only one argument (and returns null), this will evaluate to true; the true value will be happily ignored by fsharpi, and your script will run. However, if you then change Foo to take two arguments, so that Foo("hey") now returns a function, the () = Foo("hey") line will no longer compile, and you'll get an error like:
error FS0001: This expression was expected to have type
unit
but here has type
'a -> unit
So if you want fsharpi to refuse to compile your script when you refactor a function, go through and change your calls to () = myfunc arg1 arg2. For functions that don't return unit, make the value you're testing against a value of that function's return type. For example, given this function:
let f x = x * 2
You could do
0 = f 5
This will be false, of course, but it will compile. But if you refactor f:
let f x y = x * 2 + y
Now the line 0 = f 5 will not compile, but will give you the error message:
error FS0001: This expression was expected to have type
int
but here has type
int -> int
To summarize: you won't ever get the feature you're looking for, because it would harm the language. But with a bit of work, you can do something that fits your needs.
Or in other words, as the famous philosopher Mick Jagger once put it:
You can't always get what you want. But if you try, sometimes you might find you get what you need.

Erlang Dialyzer: only accept certain integers?

Say I have a function,foo/1, whose spec is -spec foo(atom()) -> #r{}., where #r{} is a record defined as -record(r, {a :: 1..789})., however, I have foo(a) -> 800. in my code, when I run dialyzer against it, it didn't warn me about this, (800 is not a "valid" return value for function foo/1), can I make dialyzer warn me about this?
Edit
Learn You Some Erlang says:
Dialyzer reserves the right to expand this range into a bigger one.
But I couldn't find how to disable this.
As of Erlang 18, the handling of integer ranges is done by erl_types:t_from_range/2. As you can see, there are a lot of generalizations happening to get a "safe" overapproximation of a range.
If you tried to ?USE_UNSAFE_RANGES (see the code) it is likely that your particular error would be caught, but at a terrible cost: native compilation and dialyzing of recursive integer functions would not ever finish!
The reason is that the type analysis for recursive functions uses a simple fixpoint approach, where the initial types accept the base cases and are repeatedly expanded using the recursive cases to include more values. At some point overapproximations must happen if the process is to terminate. Here is a concrete example:
fact(1) -> 1;
fact(N) -> N * fact(N - 1).
Initially fact/1 is assumed to have type fun(none()) -> none(). Using that to analyse the code, the second clause is 'failing' and only the first one is ok. Therefore after the first iteration the new type is fun(1) -> 1. Using the new type the second clause can succeed, expanding the type to fun(1|2) -> 1|2. Then fun(1|2|3) -> 1|2|6 this continues until the ?SET_LIMIT is reached in which case t_from_range stops using the individual values and type becomes fun(1..255) -> pos_integer(). The next iteration expands 1..255 to pos_integer() and then fun(pos_integer()) -> pos_integer() is a fixpoint!
Incorrect answer follows (explains the first comment below):
You should get a warning for this code if you use the -Woverspecs option. This option is not enabled by default, since Dialyzer operates under the assumption that it is 'ok' to over-approximate the return values of a function. In your particular case, however, you actually want any extra values to produce warnings.

F#, how far is it reasonable to go when checking for valid arguments?

I'm trying to learn a little of the mindset of functional programming in F#, so any tips are appreciated. Right now I'm making a simple recursive function which takes a list and returns the i:th element.
let rec nth(list, i) =
match (list, i) with
| (x::xs, 0) -> x
| (x::xs, i) -> nth(xs, i-1)
The function itself seems to work, but it warns me about an incomplete pattern. I'm not sure what to return when I match the empty list in this case, since if I for example do the following:
| ([], _) -> ()
The whole function is treated like a function that takes a unit as argument. I want it to treat is as a polymorphic function.
While I'm at it, I may as well ask how far is reasonable to go to check for valid arguments when designing a function when developing seriously. Should I check for everything, so "misuse" of the function is prevented? In the above example I could for example specify the function to try to access an element in the list that is larger than its size. I hope my question isn't too confusing :)
You can learn a lot about the "usual" library design by looking at the standard F# libraries. There is already a function that does what you want called List.nth, but even if you're implementing this as an exercise, you can check how the function behaves:
> List.nth [ 1 .. 3 ] 10;;
System.ArgumentException: The index was outside the range
of elements in the list. Parameter name: index
The function throws System.ArgumentException with some additional information about the exception, so that users can easily find out what went wrong. To implement the same functionality, you can use the invalidArg function:
| _ -> invalidArg "index" "Index is out of range."
This is probably better than just using failwith which throws a more general exception. When using invalidArg, users can check for a specific type of exceptions.
As kvb noted, another option is to return option 'a. Many standard library functions provide both a version that returns option and a version that throws an exception. For example List.pick and List.tryPick. So, maybe a good design in your case would be to have two functions - nth and tryNth.
If you want your function to return a meaningful result and to have the same type as it has now, then you have no alternative but to throw an exception in the remaining case. A matching failure will throw an exception, so you don't need to change it, but you may find it preferable to throw an exception with more relevant information:
| _ -> failwith "Invalid list index"
If you expect invalid list indices to be rare, then this is probably good enough. However, another alternative would be to change your function so that it returns an 'a option:
let rec nth = function
| x::xs, 0 -> Some(x)
| [],_ -> None
| _::xs, i -> nth(xs, i-1)
This places an additional burden on the caller, who must now explicitly deal with the possibility of failure.
Presumably, if taking an empty list is invalid, you're best off just throwing an exception?
Generally the rules for how defensive you should be don't really change from language to language - I always go by the guideline that if it's public be paranoid about validating input, but if it's private code, you can be less strict. (Actually if it's a large project, and it's private code, be a little strict... basically strictness is proportional to the number of developers who might call your code.)

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