better 1-constructor types
Fundamental concepts are similar to Prior art:
A value is wrapped in the type Typed with a phantom tag.
A Typed ... Meters ... Float can't be called a Typed ... Kilos ... Float anymore!
For types with just 1 constructor with a value a Typed can be a good replacement.
type Special
= Special Value
extract (Special value) =
value
map alter (Special value) =
Special (alter value)
--...You get rid of writing and calling different mehods for those types:
naturalNumber |> NaturalNumber.toInt
height |> Meters.toFloat
oneWeight |> Kilos.map ((+) (Kilos.toFloat otherWeight))
if
(oneHeight |> Meters.toFloat)
> (otherHeight |> Meters.toFloat)
thenDo you really have to remind yourself every step that you're still operating on Meters or Kilos? With Typed:
val naturalNumber
val height
Typed.map2 (+) oneWeight otherWeight
if val2 (>) oneHeight otherHeight thenThere are 2 kinds of Typed:
Checked, if the type should only contain "validated" values
module NaturalNumber exposing (NaturalNumber)
type NaturalNumber =
-- nobody outside this module can call this constructor
NaturalNumber IntCreating & updating NaturalNumbers will only be possible inside that module.
Tagged, if you want to write
-- constructor can be used anywhere
type Meters =
Meters FloatUsers can update & create a new Meters everywhere
If you want users to access the value with val, use Public; use Internal to hide it from users.
import val
exposing
( Typed, Tagged, Public, Checked, Internal
, tag, val, val2, isChecked
)Tagged + Publictype alias Pixels =
Typed Tagged PixelsTag Public Int
type PixelsTag
= Pixels Never
-- use a type annotation to say what the result is
ratio : Int -> Int -> ( Pixels, Pixels )
ratio w h =
( tag w, tag h )-- annotate to say it's in Pixels
defaultWindowWidth : Pixels
defaultWindowWidth =
Typed.map2 (+)
(tag 700)
(borderWidth |> Typed.map ((*) 2))
borderWidth : Pixels
borderWidth =
tag 5
val defaultWindowWidth
--> 710Checked + Publicmodule Even exposing
( Even, zero, two
, multiply, add
)
type alias Even =
Typed Checked EvenTag Public Int
-- don't expose this
type EvenTag = Even
multiply : Int -> Even -> Even
multiply int =
Typed.map ((*) int) >> isChecked Even
add : Even -> Even -> Even
add toAdd =
Typed.map2 (+) toAdd >> isChecked Even
zero : Even
zero =
tag 0 |> isChecked Even
two : Even
two =
tag 2 |> isChecked EvenThen outside this module
cakeForEvenNumbers : Even -> Cake
cakeForEvenNumbers (tag 3)
--> compile-time error: isn't of type Typed ... Public ...
cakeForEvenNumbers
(Even.two |> Even.multiply -5)
--> CakeChecked + InternalA validated value that can't be directly accessed by a user.
A module that only exposes randomly generated unique Ids:
module Id exposing (Id, random, toBytes, toString)
import Random
type alias Id =
Typed Checked IdTag Internal String
type IdTag = Id
random : Random.Generator Id
random =
Random.list 16 ({-...-})
|> Random.map String.fromList
|> Random.map (isChecked Id)
-- the API stays the same even if the implementation changes
toBytes --...
toString --...No Id can be created outside this package!
Tagged + Internalmodule Password exposing (UncheckedPassword, GoodPassword, isGood, toOnlyDots)
type alias Password goodOrUnchecked =
Typed goodOrUnchecked PasswordTag Internal String
-- don't expose the tag
type PasswordTag
= Password
type alias GoodPassword =
Password Checked
type alias UncheckedPassword =
Password Tagged
isGood :
UncheckedPassword -> Result String GoodPassword
isGood passwordToTest =
let
passwordString =
Typed.internal Password passwordToTest
in
if (passwordString |> String.length) < 10 then
Err "Use at lest 10 letters & symbols."
else if Set.member passwordString commonPasswords then
Err "Choose a less common password."
else
Ok (passwordToTest |> isChecked Password)
commonPasswords =
Set.fromList
[ "password1234", "secret1234"
, "c001_p4ssw0rd", "1234567890"
--...
]You can then decide that only a part of the information should be accessible.
-- doesn't expose too much information.
toOnlyDots : Password goodOrUnchecked -> String
toOnlyDots =
Typed.internal Password
>> String.length
>> (\length ->
List.repeat length '·'
|> String.fromList
)In another module
type alias Model =
{ passwordTypedIntoRegister : UncheckedPassword
--cannot access the password the user typed
, loggedIn : LoggedIn
}
type LoggedIn
= LoggedIn { userPassword : GoodPassword }
--there can't be a user with an insecure password
| NotLoggedIn
type Msg
= PasswordTypedIntoRegisterChanged UncheckedPassword
| Register GoodPassword
update msg model =
case msg of
PasswordTypedIntoRegisterChanged uncheckedPassword ->
{ model
| passwordTypedIntoRegister = uncheckedPassword
}
Register goodPassword ->
{ model
| passwordTypedIntoRegister = tag ""
, loggedIn =
LoggedIn { userPassword = goodPassword }
}
view { passwordTypedIntoRegister } =
Html.div []
[ Html.div [] [ Html.text "register" ]
, Html.input
[ onInput
--not accessible from now on
(tag >> PasswordTypedIntoRegisterChanged)
, Html.value (Password.toOnlyDots passwordTypedIntoRegister)
]
[]
, case Password.isGood passwordTypedIntoRegister of
Ok goodPassword ->
Html.button
[ onClick (Register goodPassword) ]
[ Html.text "Create account" ]
Err message ->
text message
]
leak (val passwordTypedIntoRegister)
-- or
leak (val userPassword)→ compile-time error: Can't access the value inside a Internal.
CheckedThere might be a type that can guarantee these promises even if created by users.
Example GoodPassword:
type alias GoodPassword howMuchLongerThan10 maxLength lengthMaybeN =
Arr
(In (Nat10Plus howMuchLongerThan10)
maxLength
lengthMaybeN
)
CharUsed: elm-bounded-array.
This package wouldn't exist without a lot of inspiration from those packages.
especially