Safe Haskell	Safe
Language	Haskell2010

Generics.SOP.Sing

Contents

Singletons
- Shape of type-level lists

Description

Singleton types corresponding to type-level data structures.

The implementation is similar, but subtly different to that of the singletons package. See the "True Sums of Products" paper for details.

Synopsis

Singletons

data SList :: [k] -> * where Source #

Explicit singleton list.

A singleton list can be used to reveal the structure of a type-level list argument that the function is quantified over. For every type-level list xs, there is one non-bottom value of type SList xs.

Note that these singleton lists are polymorphic in the list elements; we do not require a singleton representation for them.

Since: 0.2

Constructors

SNil :: SList '[]
SCons :: SListI xs => SList (x ': xs)

Instances

Eq (SList k xs) Source #
Methods (==) :: SList k xs -> SList k xs -> Bool # (/=) :: SList k xs -> SList k xs -> Bool #
Ord (SList k xs) Source #
Methods compare :: SList k xs -> SList k xs -> Ordering # (<) :: SList k xs -> SList k xs -> Bool # (<=) :: SList k xs -> SList k xs -> Bool # (>) :: SList k xs -> SList k xs -> Bool # (>=) :: SList k xs -> SList k xs -> Bool # max :: SList k xs -> SList k xs -> SList k xs # min :: SList k xs -> SList k xs -> SList k xs #
Show (SList k xs) Source #
Methods showsPrec :: Int -> SList k xs -> ShowS # show :: SList k xs -> String # showList :: [SList k xs] -> ShowS #

class SListI xs where Source #

Implicit singleton list.

A singleton list can be used to reveal the structure of a type-level list argument that the function is quantified over.

The class SListI should have instances that match the constructors of SList.

Since: 0.2

Minimal complete definition

sList

Methods

sList :: SList xs Source #

Get hold of the explicit singleton (that one can then pattern match on).

Instances

SListI k ([] k) Source #
Methods sList :: SList [k] xs Source #
SListI k xs => SListI k ((:) k x xs) Source #
Methods sList :: SList ((k ': x) xs) xs Source #

type Sing = SList Source #

Deprecated: Use SList instead.

Explicit singleton type.

Just provided for limited backward compatibility.

class SListI xs => SingI xs where Source #

Deprecated: Use SListI instead.

General class for implicit singletons.

Just provided for limited backward compatibility.

Minimal complete definition

sing

Methods

sing :: Sing xs Source #

Deprecated: Use sList instead.

Shape of type-level lists

data Shape :: [k] -> * where Source #

Occassionally it is useful to have an explicit, term-level, representation of type-level lists (esp because of https://ghc.haskell.org/trac/ghc/ticket/9108)

Constructors

ShapeNil :: Shape '[]
ShapeCons :: SListI xs => Shape xs -> Shape (x ': xs)

Instances

Eq (Shape k xs) Source #
Methods (==) :: Shape k xs -> Shape k xs -> Bool # (/=) :: Shape k xs -> Shape k xs -> Bool #
Ord (Shape k xs) Source #
Methods compare :: Shape k xs -> Shape k xs -> Ordering # (<) :: Shape k xs -> Shape k xs -> Bool # (<=) :: Shape k xs -> Shape k xs -> Bool # (>) :: Shape k xs -> Shape k xs -> Bool # (>=) :: Shape k xs -> Shape k xs -> Bool # max :: Shape k xs -> Shape k xs -> Shape k xs # min :: Shape k xs -> Shape k xs -> Shape k xs #
Show (Shape k xs) Source #
Methods showsPrec :: Int -> Shape k xs -> ShowS # show :: Shape k xs -> String # showList :: [Shape k xs] -> ShowS #

shape :: forall xs. SListI xs => Shape xs Source #

The shape of a type-level list.

lengthSList :: forall xs proxy. SListI xs => proxy xs -> Int Source #

The length of a type-level list.

Since: 0.2

lengthSing :: SListI xs => proxy xs -> Int Source #

Deprecated: Use lengthSList instead.

Old name for lengthSList.