Create list of objects - f#

Wondering how to create a list of instantiated objects
I have this
type myType = GoodState | BadState
let create =
seq {for i in 1 .. 100000 do yield new myType}
this doesnt seem to work
anyone know a way of doing this?
thanks

myType is a Discriminated Union, so you have to choose one of the options.
type myType = GoodState | BadState
//using your syntax to create a sequence of BadState
let create1 = seq{for _ in 1 .. 100000 do BadState} //yield is not required anymore
//another syntax to create a list of GoodState
let create2 = List.init 100000 (fun _ -> GoodState)
By the way, I used an underline "_" because I'm not using the index in this example, but you could replace for a variable name if you inted to use it for something.

You construct values of myType using one of the two constructors you defined - GoodState and BadState. Neither have any arguments so you create values with:
let good : myType = GoodState
let bad : myType = BadState
You can construct a sequence of such values with e.g.
let create = seq {for i in 1 .. 100000 do yield GoodState}

Related

Add calculated key to collection

Please consider this dataset, composed by man and woman, and that I filter in a second moment according to few variables:
type ls = JsonProvider<"...">
let dt = ls.GetSamples()
let dt2 =
dt |> Seq.filter (fun c -> c.Sex = "male" && c.Height > Some 150)
dt2
[{"sex":"male","height":180,"weight":85},
{"sex":"male","height":160" "weight":60},
{"sex":"male","height":180,"weight":85}]
Lets suppose that I would like to add a fourth key "body mass index" or "bmi", and that its value is roughly given by "weight"/"height". Hence I expect:
[{"sex":"male","height":180,"weight":85, "bmi":(180/85)},
{"sex":"male","height":160" "weight":60, "bmi":(160/60},
{"sex":"male","height":180,"weight":85, "bmi":(180/85)}]
I thought that map.Add may help.
let dt3 = dt2.Add("bmi", (dt2.Height/dt2.Weight))
Unfortunately, it returns an error:
error FS0039: The field, constructor or member 'Add' is not defined
I am sure there are further errors in my code, but without this function I cannot actually look for them. Am I, at least, approaching the problem correctly?
Creating modified versions of the JSON is sadly one thing that the F# Data type provider does not make particularly easy. What makes that hard is the fact that we can infer the type from the source JSON, but we cannot "predict" what kind of fields people might want to add.
To do this, you'll need to access the underlying representation of the JSON value and operate on that. For example:
type ls = JsonProvider<"""
[{"sex":"male","height":180,"weight":85},
{"sex":"male","height":160,"weight":60},
{"sex":"male","height":180,"weight":85}]""">
let dt = ls.GetSamples()
let newJson =
dt
|> Array.map (fun recd ->
// To do the calculation, you can access the fields via inferred types
let bmi = float recd.Height / float recd.Weight
// But now we need to look at the underlying value, check that it is
// a record and extract the properties, which is an array of key-value pairs
match recd.JsonValue with
| JsonValue.Record props ->
// Append the new property to the existing properties & re-create record
Array.append [| "bmi", JsonValue.Float bmi |] props
|> JsonValue.Record
| _ -> failwith "Unexpected format" )
// Re-create a new JSON array and format it as JSON
JsonValue.Array(newJson).ToString()

How to write an immutable TallySet (counting multiset) in FSharp

I am trying to create an immutable collection type that behaves as a hybrid
of multiset/bag and Map that records the number of occurrences of each item.
I can write a mutable one with code a little like below and I tried to write an immutable one by inheriting from Map but Map is sealed and will not let me define any overrides.
type TallySet<'k_t when 'k_t : comparison>() = class
// inherit Map<'k_t, int>
let m_map:((Map<'k_t, int>) ref) = ref (Map.empty)
member x.add item =
m_map :=
match (!m_map).TryFind item with
| None -> (!m_map).Add(item, 1)
| Some n -> (!m_map).Add(item, 1 + n)
!m_map
member x.Count with get() = Map.fold (fun cc k v -> cc + v) 0 !m_map
end
What should I write ?
Have a look at ExtCore.Collections.Multiset. As in your code, it's just a map with the value type set to the count. Multiset.add and Multiset.count correspond to the members in your example.

How to define a proper data structure for a parameter set

I need a data structure for the following:
In a device that has memory slots, each of the slots has a set of parameters. These parameters have different types. The list of possible parameters is fixed, so there is no need for generic flexibility à la »Support of arbitrary parameters without change«. Also, for each parameter, the structure of the contents is known. Typical use cases are the retrieval and modification of one specific parameter as well as a transformation of the complete parameter set into a different (but already defined) data structure.
The natural choice of F# data structure would be a sum type like this:
type SomeParameterContentType = { Field1 : string, Field2 : int }
type SomeOtherParameterContentType = { Other1 : bool option, Other2 : double }
type Parameter =
| SomeParameter of SomeParameterContentType
| SomeOtherParameter of SomeOtherParameterContentType
This way I could create a set and store the parameters there with a very nice data structure. The question here is: Given this idea, how would looking for a specific parameter look like? I don't know of any way to specify a predicate for a find-function for sets. It would be possible to define another sum type listing just the Parameter Types without their contents using this as key for a Dictionary but I don't like this idea too much. Using strings instead of the second sum type doesn't make things better as it still would require providing the list of possible parameters twice.
Does anyone have a better idea?
Thx
--Mathias.
Sounds like all you want is a tryFind for a Set:
module Set =
let tryFind p =
Set.toList >> List.tryFind p
Usage:
let mySet = Set.ofList [1;2;3;4;5]
let m = mySet |> Set.tryFind (fun t -> t = 2)
val m : int option = Some 2
Usage with your Types:
let yourSet = Set.ofList [SomeParameter {Field1="hello";Field2=3}]
let mYours = yourSet |> Set.tryFind (fun t -> match t with
|SomeParameter p -> true
|SomeOtherParameter p -> false)
val mYours : Parameter option = Some (SomeParameter {Field1 = "hello";
Field2 = 3;})

error with f# generic follow Expert Fsharp book example

I'm reading Expert F# book and I found this code
open System.Collections.Generic
let divideIntoEquivalenceClasses keyf seq =
// The dictionary to hold the equivalence classes
let dict = new Dictionary<'key,ResizeArray<'T>>()
// Build the groupings
seq |> Seq.iter (fun v ->
let key = keyf v
let ok,prev = dict.TryGetValue(key)
if ok then prev.Add(v)
else let prev = new ResizeArray<'T>()
dict.[key] <- prev
prev.Add(v))
dict |> Seq.map (fun group -> group.Key, Seq.readonly group.Value)
and the example use:
> divideIntoEquivalenceClasses (fun n -> n % 3) [ 0 .. 10 ];;
val it : seq<int * seq<int>>
= seq [(0, seq [0; 3; 6; 9]); (1, seq [1; 4; 7; 10]); (2, seq [2; 5; 8])]
first for me this code is really ugly, even if this is safe, It looks more similar to imperative languages than to functional lang..specially compared to clojure. But the problem is not this...I'm having problems with the Dictionary definition
when I type this:
let dict = new Dictionary<'key,ResizeArray<'T>>();;
I get this:
pruebafs2a.fs(32,5): error FS0030: Value restriction. The value 'dict' has been inferred to have generic type
val dict : Dictionary<'_key,ResizeArray<'_T>> when '_key : equality
Either define 'dict' as a simple data term, make it a function with explicit arguments or, if you do not intend for it to be generic, add a type annotation.
is It ok?...
thanks so much
improve question:
Ok I've been reading about value restriction and I found this helpfull information
In particular, only function definitions and simple immutable data
expressions are automatically generalized
...ok..this explains why
let dict = new Dictionary<'key,ResizeArray<'T>>();;
doesn't work...and show 4 different techniques, although in my opinion they only resolve the error but aren't solutions for use generic code:
Technique 1: Constrain Values to Be Nongeneric
let empties : int list [] = Array.create 100 []
Technique 3: Add Dummy Arguments to Generic Functions When Necessary
let empties () = Array.create 100 []
let intEmpties : int list [] = empties()
Technique 4: Add Explicit Type Arguments When Necessary (similar to tec 3)
let emptyLists = Seq.init 100 (fun _ -> [])
> emptyLists<int>;;
val it : seq<int list> = seq [[]; []; []; []; ...]
----- and the only one than let me use real generic code ------
Technique 2: Ensure Generic Functions Have Explicit Arguments
let mapFirst = List.map fst //doesn't work
let mapFirst inp = List.map fst inp
Ok, in 3 of 4 techniques I need resolve the generic code before can work with this...now...returning to book example...when the compile knows the value for 'key and 'T
let dict = new Dictionary<'key,ResizeArray<'T>>()
in the scope the code is very generic for let key be any type, the same happen with 'T
and the biggest dummy question is :
when I enclose the code in a function (technique 3):
let empties = Array.create 100 [] //doesn't work
let empties () = Array.create 100 []
val empties : unit -> 'a list []
I need define the type before begin use it
let intEmpties : int list [] = empties()
for me (admittedly I'm a little dummy with static type languages) this is not real generic because it can't infer the type when I use it, I need define the type and then pass values (not define its type based in the passed values) exist other way define type without be so explicit..
thanks so much..really appreciate any help
This line
let dict = new Dictionary<'key,ResizeArray<'T>>();;
fails because when you type the ;; the compiler doesn't know what 'key and 'T are. As the error message states you need to add a type annotation, or allow the compiler to infer the type by using it later or make it a function
Examples
Type annotation change
let dict = new Dictionary<int,ResizeArray<int>>();;
Using types later
let dict = new Dictionary<'key,ResizeArray<'T>>()
dict.[1] <- 2
using a function
let dict() = new Dictionary<'key,ResizeArray<'T>>();;
This actually doesn't cause an issue when it's defined all together. That is, select the entire block that you posted and send it to FSI in one go. I get this:
val divideIntoEquivalenceClasses :
('T -> 'key) -> seq<'T> -> seq<'key * seq<'T>> when 'key : equality
However, if you type these individually into FSI then as John Palmer says there is not enough information in that isolated line for the interpreter to determine the type constraints. John's suggestions will work, but the original code is doing it correctly - defining the variable and using it in the same scope so that the types can be inferred.
for me this code is really ugly, even if this is safe, It looks more similar to imperative languages than to functional lang.
I agree completely – it's slightly tangential to your direct question, but I think a more idiomatic (functional) approach would be:
let divideIntoEquivalenceClasses keyf seq =
(System.Collections.Generic.Dictionary(), seq)
||> Seq.fold (fun dict v ->
let key = keyf v
match dict.TryGetValue key with
| false, _ -> dict.Add (key, ResizeArray(Seq.singleton v))
| _, prev -> prev.Add v
dict)
|> Seq.map (function KeyValue (k, v) -> k, Seq.readonly v)
This allows sufficient type inference to obviate the need for your question in the first place.
The workarounds proposed by the other answers are all good. Just to clarify based on your latest updates, let's consider two blocks of code:
let empties = Array.create 100 []
as opposed to:
let empties = Array.create 100 []
empties.[0] <- [1]
In the second case, the compiler can infer that empties : int list [], because we are inserting an int list into the array in the second line, which constrains the element type.
It sounds like you'd like the compiler to infer a generic value empties : 'a list [] in the first case, but this would be unsound. Consider what would happen if the compiler did that and we then entered the following two lines in another batch:
empties.[0] <- [1] // treat 'a list [] as int list []
List.iter (printfn "%s") empties.[0] // treat 'a list [] as string list []
Each of these lines unifies the generic type parameter 'a with a different concrete type (int and string). Either of these unifications is fine in isolation, but they are incompatible with each other and would result in treating the int value 1 inserted by the first line as a string when the second line is executed, which is clearly a violation of type safety.
Contrast this with an empty list, which really is generic:
let empty = []
Then in this case, the compiler does infer empty : 'a list, because it's safe to treat empty as a list of different types in different locations in your code without ever impacting type safety:
let l1 : int list = empty
let l2 : string list = empty
let l3 = 'a' :: empty
In the case where you make empties the return value of a generic function:
let empties() = Array.create 100 []
it is again safe to infer a generic type, since if we try our problematic scenario from before:
empties().[0] <- [1]
List.iter (printfn "%s") (empties().[0])
we are creating a new array on each line, so the types can be different without breaking the type system.
Hopefully this helps explain the reasons behind the limitation a bit more.

Cyclic lists in F#

Is it just me, or does F# not cater for cyclic lists?
I looked at the FSharpList<T> class via reflector, and noticed, that neither the 'structural equals' or the length methods check for cycles. I can only guess if 2 such primitive functions does not check, that most list functions would not do this either.
If cyclic lists are not supported, why is that?
Thanks
PS: Am I even looking at the right list class?
There are many different lists/collection types in F#.
F# list type. As Chris said, you cannot initialize a recursive value of this type, because the type is not lazy and not mutable (Immutability means that you have to create it at once and the fact that it's not lazy means that you can't use F# recursive values using let rec). As ssp said, you could use Reflection to hack it, but that's probably a case that we don't want to discuss.
Another type is seq (which is actually IEnumerable) or the LazyList type from PowerPack. These are lazy, so you can use let rec to create a cyclic value. However, (as far as I know) none of the functions working with them take cyclic lists into account - if you create a cyclic list, it simply means that you're creating an infinite list, so the result of (e.g.) map will be a potentially infinite list.
Here is an example for LazyList type:
#r "FSharp.PowerPack.dll"
// Valid use of value recursion
let rec ones = LazyList.consDelayed 1 (fun () -> ones)
Seq.take 5 l // Gives [1; 1; 1; 1; 1]
The question is what data types can you define yourself. Chris shows a mutable list and if you write operations that modify it, they will affect the entire list (if you interpret it as an infinite data structure).
You can also define a lazy (potentionally cyclic) data type and implement operations that handle cycles, so when you create a cyclic list and project it into another list, it will create cyclic list as a result (and not a potentionally infinite data structure).
The type declaration may look like this (I'm using object type, so that we can use reference equality when checking for cycles):
type CyclicListValue<'a> =
Nil | Cons of 'a * Lazy<CyclicList<'a>>
and CyclicList<'a>(value:CyclicListValue<'a>) =
member x.Value = value
The following map function handles cycles - if you give it a cyclic list, it will return a newly created list with the same cyclic structure:
let map f (cl:CyclicList<_>) =
// 'start' is the first element of the list (used for cycle checking)
// 'l' is the list we're processing
// 'lazyRes' is a function that returns the first cell of the resulting list
// (which is not available on the first call, but can be accessed
// later, because the list is constructed lazily)
let rec mapAux start (l:CyclicList<_>) lazyRes =
match l.Value with
| Nil -> new CyclicList<_>(Nil)
| Cons(v, rest) when rest.Value = start -> lazyRes()
| Cons(v, rest) ->
let value = Cons(f v, lazy mapAux start rest.Value lazyRes)
new CyclicList<_>(value)
let rec res = mapAux cl cl (fun () -> res)
res
The F# list type is essentially a linked list, where each node has a 'next'. This in theory would allow you to create cycles. However, F# lists are immutable. So you could never 'make' this cycle by mutation, you would have to do it at construction time. (Since you couldn't update the last node to loop around to the front.)
You could write this to do it, however the compiler specifically prevents it:
let rec x = 1 :: 2 :: 3 :: x;;
let rec x = 1 :: 2 :: 3 :: x;;
------------------------^^
stdin(1,25): error FS0260: Recursive values cannot appear directly as a construction of the type 'List`1' within a recursive binding. This feature has been removed from the F# language. Consider using a record instead.
If you do want to create a cycle, you could do the following:
> type CustomListNode = { Value : int; mutable Next : CustomListNode option };;
type CustomListNode =
{Value: int;
mutable Next: CustomListNode option;}
> let head = { Value = 1; Next = None };;
val head : CustomListNode = {Value = 1;
Next = null;}
> let head2 = { Value = 2; Next = Some(head) } ;;
val head2 : CustomListNode = {Value = 2;
Next = Some {Value = 1;
Next = null;};}
> head.Next <- Some(head2);;
val it : unit = ()
> head;;
val it : CustomListNode = {Value = 1;
Next = Some {Value = 2;
Next = Some ...;};}
The answer is same for all languages with tail-call optimization support and first-class functions (function types) support: it's so easy to emulate cyclic structures.
let rec x = seq { yield 1; yield! x};;
It's simplest way to emulate that structure by using laziness of seq.
Of course you can hack list representation as described here.
As was said before, your problem here is that the list type is immutable, and for a list to be cyclic you'd have to have it stick itself into its last element, so that doesn't work. You can use sequences, of course.
If you have an existing list and want to create an infinite sequence on top of it that cycles through the list's elements, here's how you could do it:
let round_robin lst =
let rec inner_rr l =
seq {
match l with
| [] ->
yield! inner_rr lst
| h::t ->
yield h
yield! inner_rr t
}
if lst.IsEmpty then Seq.empty else inner_rr []
let listcycler_sequence = round_robin [1;2;3;4;5;6]

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