Data.Diverse.Many

Re-export Many without the constructor

Many type

data Many xs

A Many is an anonymous product type (also know as polymorphic record), with no limit on the number of fields.

The following functions are available can be used to manipulate unique fields

• getter/setter for single field: fetch and replace
• getter/setter for multiple fields: select and amend
• folds: forMany or collect

These functions are type specified. This means labels are not required because the types themselves can be used to access the 'Many. It is a compile error to use those functions for duplicate fields.

For duplicate fields, Nat-indexed versions of the functions are available:

• getter/setter for single field: fetchN and replaceN
• getter/setter for multiple fields: selectN and amendN
• folds: forManyN or collectN

Encoding: The record is encoded as (Offset, Map Int Any). This encoding should reasonabily efficient for any number of fields.

The map Key is index + offset of the type in the typelist. The Offset is used to allow efficient cons prefix.

Key = Index of type in typelist + Offset

The constructor will guarantee the correct number and types of the elements. The constructor is only exported in the Data.Diverse.Many.Internal module

Instances

Eq (Many_ xs) => Eq (Many xs)

Two Manys are equal if all their fields equal

Methods

(==) :: Many xs -> Many xs -> Bool

(/=) :: Many xs -> Many xs -> Bool

Ord (Many_ xs) => Ord (Many xs)

Two Manys are ordered by compareing their fields in index order

Methods

compare :: Many xs -> Many xs -> Ordering

(<) :: Many xs -> Many xs -> Bool

(<=) :: Many xs -> Many xs -> Bool

(>) :: Many xs -> Many xs -> Bool

(>=) :: Many xs -> Many xs -> Bool

max :: Many xs -> Many xs -> Many xs

min :: Many xs -> Many xs -> Many xs

Read (Many_ xs) => Read (Many xs)

read "5 . False . X . Just O . nil" == (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil

Methods

readsPrec :: Int -> ReadS (Many xs)

readList :: ReadS [Many xs]

readPrec :: ReadPrec (Many xs)

readListPrec :: ReadPrec [Many xs]

Show (Many_ xs) => Show (Many xs)

Two Manys are equal if all their fields equal

Methods

showsPrec :: Int -> Many xs -> ShowS

show :: Many xs -> String

showList :: [Many xs] -> ShowS

Generic (Many ((:) Type x xs))

A Generic instance encoded as the front value :*: with the aft Many. The C1 and S1 metadata are not encoded.

Associated Types

type Rep (Many ((:) Type x xs)) :: * -> *

Methods

from :: Many ((Type ': x) xs) -> Rep (Many ((Type ': x) xs)) x

to :: Rep (Many ((Type ': x) xs)) x -> Many ((Type ': x) xs)

Generic (Many ([] Type))

A terminating Generic instance encoded as a nil.

Associated Types

type Rep (Many ([] Type)) :: * -> *

Methods

from :: Many [Type] -> Rep (Many [Type]) x

to :: Rep (Many [Type]) x -> Many [Type]

type Rep (Many ((:) Type x xs))

type Rep (Many ((:) Type x xs)) = (:*:) (Rec0 x) (Rec0 (Many xs))

type Rep (Many ([] Type))

type Rep (Many ([] Type)) = U1

Isomorphism

class IsMany t xs a where

This instance allows converting to and from Many There are instances for converting tuples of up to size 15.

Minimal complete definition

toMany, fromMany

Methods

toMany :: t xs a -> Many xs

fromMany :: Many xs -> t xs a

Instances

IsMany * (Tagged [Type]) ([] Type) ()

These instances add about 7 seconds to the compile time!

Methods

toMany :: [Type] () a -> Many ()

fromMany :: Many () -> [Type] () a

IsMany * (Tagged [Type]) ((:) Type a ([] Type)) a

This single field instance is the reason for Tagged wrapper. Otherwise this instance will overlap.

Methods

toMany :: (Type ': a) [Type] a a -> Many a

fromMany :: Many a -> (Type ': a) [Type] a a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ([] Type))) (a, b)

Methods

toMany :: (Type ': a) ((Type ': b) [Type]) (a, b) a -> Many (a, b)

fromMany :: Many (a, b) -> (Type ': a) ((Type ': b) [Type]) (a, b) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ([] Type)))) (a, b, c)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) [Type])) (a, b, c) a -> Many (a, b, c)

fromMany :: Many (a, b, c) -> (Type ': a) ((Type ': b) ((Type ': c) [Type])) (a, b, c) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ([] Type))))) (a, b, c, d)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) [Type]))) (a, b, c, d) a -> Many (a, b, c, d)

fromMany :: Many (a, b, c, d) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) [Type]))) (a, b, c, d) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ([] Type)))))) (a, b, c, d, e)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) [Type])))) (a, b, c, d, e) a -> Many (a, b, c, d, e)

fromMany :: Many (a, b, c, d, e) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) [Type])))) (a, b, c, d, e) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ([] Type))))))) (a, b, c, d, e, f)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) [Type]))))) (a, b, c, d, e, f) a -> Many (a, b, c, d, e, f)

fromMany :: Many (a, b, c, d, e, f) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) [Type]))))) (a, b, c, d, e, f) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ([] Type)))))))) (a, b, c, d, e, f, g)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) [Type])))))) (a, b, c, d, e, f, g) a -> Many (a, b, c, d, e, f, g)

fromMany :: Many (a, b, c, d, e, f, g) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) [Type])))))) (a, b, c, d, e, f, g) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ((:) Type h ([] Type))))))))) (a, b, c, d, e, f, g, h)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) [Type]))))))) (a, b, c, d, e, f, g, h) a -> Many (a, b, c, d, e, f, g, h)

fromMany :: Many (a, b, c, d, e, f, g, h) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) [Type]))))))) (a, b, c, d, e, f, g, h) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ((:) Type h ((:) Type i ([] Type)))))))))) (a, b, c, d, e, f, g, h, i)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) [Type])))))))) (a, b, c, d, e, f, g, h, i) a -> Many (a, b, c, d, e, f, g, h, i)

fromMany :: Many (a, b, c, d, e, f, g, h, i) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) [Type])))))))) (a, b, c, d, e, f, g, h, i) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ((:) Type h ((:) Type i ((:) Type j ([] Type))))))))))) (a, b, c, d, e, f, g, h, i, j)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) [Type]))))))))) (a, b, c, d, e, f, g, h, i, j) a -> Many (a, b, c, d, e, f, g, h, i, j)

fromMany :: Many (a, b, c, d, e, f, g, h, i, j) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) [Type]))))))))) (a, b, c, d, e, f, g, h, i, j) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ((:) Type h ((:) Type i ((:) Type j ((:) Type k ([] Type)))))))))))) (a, b, c, d, e, f, g, h, i, j, k)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) [Type])))))))))) (a, b, c, d, e, f, g, h, i, j, k) a -> Many (a, b, c, d, e, f, g, h, i, j, k)

fromMany :: Many (a, b, c, d, e, f, g, h, i, j, k) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) [Type])))))))))) (a, b, c, d, e, f, g, h, i, j, k) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ((:) Type h ((:) Type i ((:) Type j ((:) Type k ((:) Type l ([] Type))))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) ((Type ': l) [Type]))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l) a -> Many (a, b, c, d, e, f, g, h, i, j, k, l)

fromMany :: Many (a, b, c, d, e, f, g, h, i, j, k, l) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) ((Type ': l) [Type]))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ((:) Type h ((:) Type i ((:) Type j ((:) Type k ((:) Type l ((:) Type m ([] Type)))))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) ((Type ': l) ((Type ': m) [Type])))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m) a -> Many (a, b, c, d, e, f, g, h, i, j, k, l, m)

fromMany :: Many (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) ((Type ': l) ((Type ': m) [Type])))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ((:) Type h ((:) Type i ((:) Type j ((:) Type k ((:) Type l ((:) Type m ((:) Type n ([] Type))))))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) ((Type ': l) ((Type ': m) ((Type ': n) [Type]))))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m, n) a -> Many (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

fromMany :: Many (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) ((Type ': l) ((Type ': m) ((Type ': n) [Type]))))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m, n) a

IsMany * (Tagged [Type]) ((:) Type a ((:) Type b ((:) Type c ((:) Type d ((:) Type e ((:) Type f ((:) Type g ((:) Type h ((:) Type i ((:) Type j ((:) Type k ((:) Type l ((:) Type m ((:) Type n ((:) Type o ([] Type)))))))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

Methods

toMany :: (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) ((Type ': l) ((Type ': m) ((Type ': n) ((Type ': o) [Type])))))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) a -> Many (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

fromMany :: Many (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (Type ': a) ((Type ': b) ((Type ': c) ((Type ': d) ((Type ': e) ((Type ': f) ((Type ': g) ((Type ': h) ((Type ': i) ((Type ': j) ((Type ': k) ((Type ': l) ((Type ': m) ((Type ': n) ((Type ': o) [Type])))))))))))))) (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) a

fromMany' :: IsMany Tagged xs a => Many xs -> a

Converts from a Many to a value (eg a tuple), via a Tagged wrapper

toMany' :: IsMany Tagged xs a => a -> Many xs

Converts from a value (eg a tuple) to a Many, via a Tagged wrapper

_Many :: IsMany t xs a => Iso' (Many xs) (t xs a)

_Many = iso fromMany toMany

_Many' :: IsMany Tagged xs a => Iso' (Many xs) a

_Many' = iso fromMany' toMany'

Construction

nil :: Many '[]

Analogous to nill. Named nil to avoid conflicting with nill.

single :: x -> Many '[x]

Create a Many from a single value. Analogous to singleton

prefix :: x -> Many xs -> Many (x ': xs) infixr 5

Add an element to the left of a Many. Not named cons to avoid conflict with cons

(./) :: x -> Many xs -> Many (x ': xs) infixr 5

Infix version of prefix.

Mnemonic: Element on the left is smaller ./ than the larger Many to the right.

postfix :: Many xs -> y -> Many (Append xs '[y]) infixl 5

Add an element to the right of a Many Not named snoc to avoid conflict with snoc

(\.) :: Many xs -> y -> Many (Append xs '[y]) infixl 5

snoc mnemonic: Many is larger \. than the smaller element

append :: Many xs -> Many ys -> Many (Append xs ys) infixr 5

Appends two Manys together

(/./) :: Many xs -> Many ys -> Many (Append xs ys) infixr 5

append mnemonic: cons ./ with an extra slash (meaning Many) in front.

Simple queries

front :: Many (x ': xs) -> x

Extract the first element of a Many, which guaranteed to be non-empty. Analogous to head

back :: Many (x ': xs) -> Last (x ': xs)

Extract the back element of a Many, which guaranteed to be non-empty. Analogous to last

aft :: Many (x ': xs) -> Many xs

Extract the elements after the front of a Many, which guaranteed to be non-empty. Analogous to tail

fore :: Many (x ': xs) -> Many (Init (x ': xs))

Return all the elements of a Many except the back one, which guaranteed to be non-empty. Analogous to init

Single field

Getter for single field

fetch :: forall x xs. UniqueMember x xs => Many xs -> x

Getter by unique type. Get the field with type x.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil
fetch @Int x `shouldBe` 5

fetchL :: forall l xs x proxy. (UniqueLabelMember l xs, x ~ KindAtLabel l xs) => proxy l -> Many xs -> x

Getter by label. Get the value of the field with tag label which can be any type not just KnownSymbol. @

let y = False ./ Tagged @Foo 'X' ./ Tagged Hi True ./ nil fetchL @Foo Proxy y `shouldBe` Tagged @Foo 'X' fetchL @Hi Proxy y `shouldBe` Tagged @Hi True

fetchN :: forall n x xs proxy. MemberAt n x xs => proxy n -> Many xs -> x

Getter by index. Get the value of the field at index type-level Nat n

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil
fetchN @1 Proxy x `shouldBe` False

Setter for single field

replace :: forall x xs. UniqueMember x xs => Many xs -> x -> Many xs

Setter by unique type. Set the field with type x.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil
replace @Int x 6 `shouldBe` (6 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil

replace' :: forall x y xs proxy. UniqueMember x xs => proxy x -> Many xs -> y -> Many (Replace x y xs)

Polymorphic setter by unique type. Set the field with type x, and replace with type y

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil
replace' @Int Proxy x (Just True) `shouldBe` Just True ./ False ./ 'X' ./ Just 'O' ./ nil

replaceL :: forall l xs x proxy. (UniqueLabelMember l xs, x ~ KindAtLabel l xs) => proxy l -> Many xs -> x -> Many xs

Setter by unique label. Set the field with label l.

let y = (5 :: Int) ./ False ./ Tagged @Foo 'X' ./ Tagged @"Hello" (6 :: Int) ./ nil
replaceL @Foo Proxy y (Tagged @Foo 'Y') `shouldBe`
    (5 :: Int) ./ False ./ Tagged @Foo 'Y' ./ Tagged @"Hello" (6 :: Int) ./ nil
replaceL @"Hello" Proxy y (Tagged @"Hello" 7) `shouldBe`
    (5 :: Int) ./ False ./ Tagged @Foo 'X' ./ Tagged @"Hello" (7 :: Int) ./ nil

replaceL' :: forall l y xs x proxy. (UniqueLabelMember l xs, x ~ KindAtLabel l xs) => proxy l -> Many xs -> y -> Many (Replace x y xs)

Polymorphic setter by unique type. Set the field with type x, and replace with type y

let y = (5 :: Int) ./ False ./ Tagged @Foo 'X' ./ Tagged @"Hello" (6 :: Int) ./ nil
replaceL' @Foo Proxy y (Tagged @Bar 'Y') shouldBe
    (5 :: Int) ./ False ./ Tagged Bar Y ./ Tagged Hello (6 :: Int) ./ nil
replaceL' @"Hello" Proxy y (Tagged @"Hello" False) `shouldBe`
    (5 :: Int) ./ False ./ Tagged @Foo 'X' ./ Tagged @"Hello" False ./ nil

replaceN :: forall n x y xs proxy. MemberAt n x xs => proxy n -> Many xs -> y -> Many xs

Setter by index. Set the value of the field at index type-level Nat n

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil
replaceN @0 Proxy x 7 shouldBe

replaceN' :: forall n x y xs proxy. MemberAt n x xs => proxy n -> Many xs -> y -> Many (ReplaceIndex n y xs)

Polymorphic version of replaceN

Lens for a single field

item :: forall x xs. UniqueMember x xs => Lens' (Many xs) x

fetch (view item) and replace (set item) in Lens' form.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil
x ^. item @Int `shouldBe` 5
(x & item @Int .~ 6) `shouldBe` (6 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil

item' :: forall x y xs. UniqueMember x xs => Lens (Many xs) (Many (Replace x y xs)) x y

Polymorphic version of item

itemL :: forall l xs x proxy. (UniqueLabelMember l xs, x ~ KindAtLabel l xs) => proxy l -> Lens' (Many xs) x

fetchL (view itemL) and replaceL (set itemL) in Lens' form.

let x = (5 :: Int) ./ Tagged @Foo False ./ Tagged @Bar 'X' ./ nil
x ^. itemL @Foo Proxy `shouldBe` Tagged @Foo False
(x & itemL @Foo Proxy .~ Tagged @Foo True) `shouldBe` (5 :: Int) ./ Tagged @Foo True ./ Tagged @Bar 'X' ./ nil

itemL' :: forall l y xs x proxy. (UniqueLabelMember l xs, x ~ KindAtLabel l xs) => proxy l -> Lens (Many xs) (Many (Replace x y xs)) x y

Polymorphic version of itemL

let x = (5 :: Int) ./ Tagged @Foo False ./ Tagged @Bar 'X' ./ nil
(x & itemL' @Foo Proxy .~ "foo") `shouldBe` (5 :: Int) ./ "foo" ./ Tagged @Bar 'X' ./ nil

itemN :: forall n x xs proxy. MemberAt n x xs => proxy n -> Lens' (Many xs) x

fetchN (view item) and replaceN (set item) in Lens' form.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
x ^. itemN (Proxy @0) `shouldBe` 5
(x & itemN (Proxy @0) .~ 6) `shouldBe` (6 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil

itemN' :: forall n x y xs proxy. MemberAt n x xs => proxy n -> Lens (Many xs) (Many (ReplaceIndex n y xs)) x y

Polymorphic version of itemN

Multiple fields

Getter for multiple fields

type Select smaller larger = AFoldable (CollectorAny (CaseSelect smaller larger) larger) (Maybe (Int, WrappedAny))

A friendlier type constraint synomyn for select

select :: forall smaller larger. Select smaller larger => Many larger -> Many smaller

Construct a Many with a smaller number of fields than the original. Analogous to fetch getter but for multiple fields.

This can also be used to reorder fields in the original Many.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
select @'[Bool, Char] x `shouldBe` False ./ 'X' ./ nil

selectL :: forall ls smaller larger proxy. (Select smaller larger, smaller ~ KindsAtLabels ls larger, IsDistinct ls, UniqueLabels ls larger) => proxy ls -> Many larger -> Many smaller

A variation of select which selects by labels

let x = False ./ Tagged @"Hi" (5 :: Int) ./ Tagged @Foo False ./ Tagged @Bar 'X' ./ Tagged @"Bye" O ./ nil
selectL @'[Foo, Bar] Proxy x `shouldBe` Tagged @Foo False ./ Tagged @Bar 'X' ./ nil
selectL @'["Hi", "Bye"] Proxy x `shouldBe` Tagged @"Hi" (5 :: Int) ./ Tagged @"Bye" 'O' ./ nil

type SelectN ns smaller larger = (AFoldable (CollectorAnyN (CaseSelectN ns smaller) 0 larger) (Maybe (Int, WrappedAny)), smaller ~ KindsAtIndices ns larger, IsDistinct ns)

A friendlier type constraint synomyn for selectN

selectN :: forall ns smaller larger proxy. SelectN ns smaller larger => proxy ns -> Many larger -> Many smaller

A variation of select which uses a Nat list n to specify how to reorder the fields, where

indices[branch_idx] = tree_idx@

This variation allows smaller or larger to contain indistinct since the mapping is specified by indicies.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
selectN (Proxy @'[5, 4, 0]) x `shouldBe` Just 'A' ./ (6 :: Int) ./ (5 ::Int) ./ nil

Setter for multiple fields

type Amend smaller larger = (AFoldable (CollectorAny (CaseAmend larger) smaller) (Int, WrappedAny), IsDistinct smaller)

A friendlier type constraint synomyn for amend

amend :: forall smaller larger. Amend smaller larger => Many larger -> Many smaller -> Many larger

Sets the subset of Many in the larger Many. Analogous to replace setter but for multiple fields.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil
amend @'[Int, Maybe Char] x ((6 :: Int) ./ Just 'P' ./ nil) `shouldBe`
    (6 :: Int) ./ False ./ 'X' ./ Just 'P' ./ nil

type Amend' smaller smaller' larger zipped = (AFoldable (CollectorAny (CaseAmend' larger) zipped) (Int, WrappedAny), IsDistinct smaller, zipped ~ Zip smaller smaller')

A friendlier type constraint synomyn for amend'

amend' :: forall smaller smaller' larger proxy zipped. Amend' smaller smaller' larger zipped => proxy smaller -> Many larger -> Many smaller' -> Many (Replaces smaller smaller' larger)

amendL :: forall ls smaller larger proxy. (Amend smaller larger, smaller ~ KindsAtLabels ls larger, IsDistinct ls, UniqueLabels ls larger) => proxy ls -> Many larger -> Many smaller -> Many larger

A variation of amend which amends via labels.

let x = False . Tagged @"Hi" (5 :: Int) . Tagged @Foo False . Tagged @Bar 'X' . Tagged @"Bye" 'O' ./ nil
amendL @'[Foo, Bar] Proxy x (Tagged @Foo True . Tagged @Bar 'Y' . nil) shouldBe
    False . Tagged @"Hi" (5 :: Int) . Tagged @Foo True . Tagged @Bar 'Y' . Tagged @"Bye" 'O' ./ nil
amendL @'["Hi", "Bye"] Proxy x (Tagged @"Hi" (6 :: Int) . Tagged @"Bye" 'P' . nil) shouldBe
    False . Tagged @"Hi" (6 :: Int) . Tagged @Foo False . Tagged @Bar 'X' . Tagged @"Bye" 'P' ./ nil

amendL' :: forall ls smaller smaller' larger proxy zipped. (Amend' smaller smaller' larger zipped, smaller ~ KindsAtLabels ls larger, IsDistinct ls, UniqueLabels ls larger) => proxy ls -> Many larger -> Many smaller' -> Many (Replaces smaller smaller' larger)

A variation of amend which amends via labels.

let x = False ./ Tagged @"Hi" (5 :: Int) ./ Tagged @Foo False ./ Tagged @Bar X ./ Tagged @"Bye" 'O' ./ nil
amendL' @'[Foo, Bar] Proxy x ('Y' ./ True ./ nil) `shouldBe`
    False ./ Tagged @"Hi" (5 :: Int) ./ 'Y' ./ True ./ Tagged @"Bye" 'O' ./ nil
amendL' @'["Hi", "Bye"] Proxy x (True ./ Tagged @"Changed" True ./ nil) `shouldBe`
    False ./ True ./ Tagged @Foo False ./ Tagged @Bar 'X' ./ Tagged @"Changed" True ./ nil

type AmendN ns smaller larger = (AFoldable (CollectorAnyN (CaseAmendN ns larger) 0 smaller) (Int, WrappedAny), smaller ~ KindsAtIndices ns larger, IsDistinct ns)

A friendlier type constraint synomyn for amendN

amendN :: forall ns smaller larger proxy. AmendN ns smaller larger => proxy ns -> Many larger -> Many smaller -> Many larger

A variation of amend which uses a Nat list n to specify how to reorder the fields, where

indices[branch_idx] = tree_idx@

This variation allows smaller or larger to contain indistinct since the mapping is specified by indicies.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
amendN (Proxy @'[5, 4, 0]) x (Just 'B' ./ (8 :: Int) ./ (4 ::Int) ./ nil) `shouldBe`
    (4 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (8 :: Int) ./ Just 'B' ./ nil

type AmendN' ns smaller smaller' larger zipped = (AFoldable (CollectorAnyN (CaseAmendN' ns larger) 0 zipped) (Int, WrappedAny), smaller ~ KindsAtIndices ns larger, IsDistinct ns, zipped ~ Zip smaller smaller')

A friendlier type constraint synomyn for amendN

amendN' :: forall ns smaller smaller' larger proxy zipped. AmendN' ns smaller smaller' larger zipped => proxy ns -> Many larger -> Many smaller' -> Many (ReplacesIndex ns smaller' larger)

A polymorphic variation of amendN

Lens for multiple fields

project :: forall smaller larger. (Select smaller larger, Amend smaller larger) => Lens' (Many larger) (Many smaller)

select (view project) and amend (set project) in Lens' form.

project = lens select amend

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ nil
x ^. (project @'[Int, Maybe Char]) `shouldBe` (5 :: Int) ./ Just 'O' ./ nil
(x & (project @'[Int, Maybe Char]) .~ ((6 :: Int) ./ Just P ./ nil)) `shouldBe`
    (6 :: Int) ./ False ./ 'X' ./ Just 'P' ./ nil

project' :: forall smaller smaller' larger zipped. (Select smaller larger, Amend' smaller smaller' larger zipped) => Lens (Many larger) (Many (Replaces smaller smaller' larger)) (Many smaller) (Many smaller')

Polymorphic version of project'

projectL :: forall ls smaller larger proxy. (Select smaller larger, Amend smaller larger, smaller ~ KindsAtLabels ls larger, IsDistinct ls, UniqueLabels ls larger) => proxy ls -> Lens' (Many larger) (Many smaller)

selectL (view projectL) and amendL (set projectL) in Lens' form.

let x = False ./ Tagged @"Hi" (5 :: Int) ./ Tagged @Foo False ./ Tagged @Bar 'X' ./ Tagged @"Bye" 'O' ./ nil
x ^. (projectL @'[Foo, Bar] Proxy) `shouldBe` Tagged @Foo False ./ Tagged @Bar 'X' ./ nil
(x & (projectL @'["Hi", "Bye"] Proxy) .~ (Tagged @"Hi" (6 :: Int) ./ Tagged @"Bye" 'P' ./ nil)) 'shouldBe
    False ./ Tagged @"Hi" (6 :: Int) ./ Tagged @Foo False ./ Tagged @Bar 'X' ./ Tagged @"Bye" 'P' ./ nil

projectL' :: forall ls smaller smaller' larger proxy zipped. (Select smaller larger, Amend' smaller smaller' larger zipped, smaller ~ KindsAtLabels ls larger, IsDistinct ls, UniqueLabels ls larger) => proxy ls -> Lens (Many larger) (Many (Replaces smaller smaller' larger)) (Many smaller) (Many smaller')

Polymorphic version of projectL'

let x = False ./ Tagged @"Hi" (5 :: Int) ./ Tagged @Foo False ./ Tagged @Bar 'X' ./ Tagged @"Bye" 'O' ./ nil
(x & (projectL' @'["Hi", "Bye"] Proxy) .~ (True ./ Tagged @"Changed" False ./ nil)) `shouldBe`
    False ./ True ./ Tagged @Foo False ./ Tagged @Bar 'X' ./ Tagged @"Changed" False ./ nil

projectN :: forall ns smaller larger proxy. (SelectN ns smaller larger, AmendN ns smaller larger) => proxy ns -> Lens' (Many larger) (Many smaller)

selectN (view projectN) and amendN (set projectN) in Lens' form.

projectN = lens selectN amendN

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
x ^. (projectN @'[5, 4, 0] Proxy) `shouldBe` Just 'A' ./ (6 :: Int) ./ (5 ::Int) ./ nil
(x & (projectN @'[5, 4, 0] Proxy) .~ (Just 'B' ./ (8 :: Int) ./ (4 ::Int) ./ nil)) `shouldBe`
    (4 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (8 :: Int) ./ Just 'B' ./ nil

projectN' :: forall ns smaller smaller' larger proxy zipped. (SelectN ns smaller larger, AmendN' ns smaller smaller' larger zipped) => proxy ns -> Lens (Many larger) (Many (ReplacesIndex ns smaller' larger)) (Many smaller) (Many smaller')

Polymorphic version of projectN

Destruction

By type

forMany :: c xs r -> Many xs -> Collector c xs r

Folds any Many, even with indistinct types. Given distinct handlers for the fields in Many, create a Collector of the results of running the handlers over the fields in Many.

The Collector is AFoldable to combine the results.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
    y = show @Int ./ show @Char ./ show @(Maybe Char) ./ show @Bool ./ nil
afoldr (:) [] (forMany (cases y) x) `shouldBe`
    ["5", "False", "'X'", "Just 'O'", "6", "Just 'A'"]

collect :: Many xs -> c xs r -> Collector c xs r

This is flip forMany

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
    y = show @Int ./ show @Char ./ show @(Maybe Char) ./ show @Bool ./ nil
afoldr (:) [] (collect x (cases y)) `shouldBe`
    ["5", "False", "'X'", "Just 'O'", "6", "Just 'A'"]

By Nat index offset

forManyN :: c n xs r -> Many xs -> CollectorN c n xs r

Folds any Many, even with indistinct types. Given index handlers for the fields in Many, create a CollectorN of the results of running the handlers over the fields in Many.

The CollectorN is AFoldable to combine the results.

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
    y = show @Int ./ show @Bool ./ show @Char ./ show @(Maybe Char) ./ show @Int ./ show @(Maybe Char) ./ nil
afoldr (:) [] (forManyN (casesN y) x) `shouldBe`
    ["5", "False", "'X'", "Just 'O'", "6", "Just 'A'"]

collectN :: Many xs -> c n xs r -> CollectorN c n xs r

This is flip forManyN

let x = (5 :: Int) ./ False ./ 'X' ./ Just 'O' ./ (6 :: Int) ./ Just 'A' ./ nil
    y = show @Int ./ show @Bool ./ show @Char ./ show @(Maybe Char) ./ show @Int ./ show @(Maybe Char) ./ nil
afoldr (:) [] (collectN x (casesN y)) `shouldBe`
    ["5", "False", "'X'", "Just 'O'", "6", "Just 'A'"]