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module Triple.Extra exposing | ||
( Triple | ||
, triple, from | ||
, first, second, third | ||
, apply, sortWith | ||
, map, mapFirst, mapSecond, mapThird | ||
, toList | ||
) | ||
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{-| Convenience functions for 3-Tuples (also known as Triple). | ||
Please remember the following from the Tuple documentation: | ||
> For more complex data, it is best to switch to records. So instead of representing a 3D point as `(3,4,5)` and not having any helper functions, represent it as `{ x = 3, y = 4, z = 5 }` and use all the built-in record syntax! | ||
This is good advice! However triples do have their usecases for anonymous groupings and as such having some helper functions can be quite helpful. | ||
@docs Triple | ||
# Create | ||
@docs triple, from | ||
# Access | ||
@docs first, second, third | ||
# Manipulating | ||
@docs apply, sortWith | ||
# Mapping | ||
@docs map, mapFirst, mapSecond, mapThird | ||
# Lists | ||
@docs toList | ||
-} | ||
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-- Types ----------------------------------------------------------------------- | ||
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{-| By type aliasing Triples into a "normal" type, we remove the (small) effort | ||
required in reading types and signatures that have Triples in. This | ||
is most beneficial when a Triple is nested inside another type. Visually, the | ||
Triple type is now no different to List, Maybe, or Result. | ||
For example, this: | ||
List (Maybe ( String, Int, Char )) | ||
becomes: | ||
List (Maybe (Triple String Int Char)) | ||
-} | ||
type alias Triple a b c = | ||
( a, b, c ) | ||
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{-| Create a triple. | ||
-} | ||
triple : a -> b -> c -> ( a, b, c ) | ||
triple a b c = | ||
( a, b, c ) | ||
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{-| Occasionally you might want to create a Triple from a single value. This does | ||
just that. | ||
Triple.Extra.from 1 --> ( 1, 1, 1 ) | ||
-} | ||
from : a -> ( a, a, a ) | ||
from a = | ||
( a, a, a ) | ||
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-- Access ---------------------------------------------------------------------- | ||
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{-| Extract the first value from a triple. | ||
-} | ||
first : ( a, b, c ) -> a | ||
first ( a, _, _ ) = | ||
a | ||
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{-| Extract the second value from a triple. | ||
-} | ||
second : ( a, b, c ) -> b | ||
second ( _, b, _ ) = | ||
b | ||
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{-| Extract the third value from a triple. | ||
-} | ||
third : ( a, b, c ) -> c | ||
third ( _, _, c ) = | ||
c | ||
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-- Manipulating ---------------------------------------------------------------- | ||
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{-| Given a function that takes three arguments, apply that function to the three | ||
values contained in a Triple. | ||
( 1, 2, Array.fromList [0,1,2,3,4] ) | ||
|> Triple.Extra.apply Array.slice | ||
--> Array.fromList [1,2,3] | ||
-} | ||
apply : (a -> b -> c -> d) -> ( a, b, c ) -> d | ||
apply f ( a, b, c ) = | ||
f a b c | ||
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{-| Similar to List.sortWith but for Triples instead of lists. Instead of | ||
converting values contained in a Triple to `comparable`s, instead supply a | ||
function that will produce an `Order` directly. | ||
Triple.Extra.sortWith Basics.compare ( 2, 1, 3 ) | ||
--> ( 1, 2, 3 ) | ||
-} | ||
sortWith : (a -> a -> Order) -> ( a, a, a ) -> ( a, a, a ) | ||
sortWith toOrder ( a, b, c ) = | ||
case ( toOrder a b, toOrder b c ) of | ||
( LT, LT ) -> | ||
( a, b, c ) | ||
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( GT, GT ) -> | ||
( c, b, a ) | ||
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( EQ, EQ ) -> | ||
( a, b, c ) | ||
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( LT, EQ ) -> | ||
( a, b, c ) | ||
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( EQ, LT ) -> | ||
( a, b, c ) | ||
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( EQ, GT ) -> | ||
( c, a, b ) | ||
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( GT, EQ ) -> | ||
( c, b, a ) | ||
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( GT, LT ) -> | ||
case toOrder a c of | ||
GT -> | ||
( b, c, a ) | ||
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_ -> | ||
( b, a, c ) | ||
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( LT, GT ) -> | ||
case toOrder a c of | ||
GT -> | ||
( c, a, b ) | ||
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_ -> | ||
( a, c, b ) | ||
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-- Mapping --------------------------------------------------------------------- | ||
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{-| Transform the first value in a triple. | ||
Triple.Extra.mapFirst negate ( -3, 10, '9' ) | ||
--> ( 3, 10, '9' ) | ||
-} | ||
mapFirst : (a -> x) -> ( a, b, c ) -> ( x, b, c ) | ||
mapFirst f ( a, b, c ) = | ||
( f a, b, c ) | ||
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{-| Transform the second value in a triple. | ||
Triple.Extra.mapSecond negate ( -3, 10, '9' ) | ||
--> ( -3, 010, '9' ) | ||
-} | ||
mapSecond : (b -> x) -> ( a, b, c ) -> ( a, x, c ) | ||
mapSecond f ( a, b, c ) = | ||
( a, f b, c ) | ||
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{-| Transform the third value in a triple. | ||
Triple.Extra.mapThird String.toUpper ( -3, 10, "a" ) | ||
--> ( -3, 10, "A" ) | ||
-} | ||
mapThird : (c -> x) -> ( a, b, c ) -> ( a, b, x ) | ||
mapThird f ( a, b, c ) = | ||
( a, b, f c ) | ||
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{-| Apply a function to all values contained in a Triple. | ||
Triple.Extra.map negate ( -3, 10, -7 ) | ||
--> ( 3, -10, 7 ) | ||
-} | ||
map : (a -> b) -> ( a, a, a ) -> ( b, b, b ) | ||
map f ( a, b, c ) = | ||
( f a, f b, f c ) | ||
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-- List conversion -------------------------------------------------------------- | ||
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{-| Turns a triple into a list of three elements. | ||
Triple.Extra.toList ( 1, 2, 3 ) | ||
--> [ 1, 2, 3 ] | ||
-} | ||
toList : ( a, a, a ) -> List a | ||
toList ( a, b, c ) = | ||
[ a, b, c ] |
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module TripleTests exposing (suite) | ||
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import Expect | ||
import Fuzz | ||
import Test exposing (Test, describe) | ||
import Triple.Extra | ||
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suite : Test | ||
suite = | ||
describe "Triple.Extra" | ||
[ Test.fuzz (Fuzz.triple Fuzz.int Fuzz.int Fuzz.int) "sortWith behaves like list sort" <| | ||
\triple -> | ||
triple | ||
|> Triple.Extra.toList | ||
|> List.sort | ||
|> Expect.equal (Triple.Extra.sortWith compare triple |> Triple.Extra.toList) | ||
] |