singletons-1.1.2: A framework for generating singleton types

Copyright(C) 2014 Jan Stolarek
LicenseBSD-style (see LICENSE)
MaintainerJan Stolarek (jan.stolarek@p.lodz.pl)
Stabilityexperimental
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell2010

Data.Promotion.Prelude.Maybe

Contents

Description

Defines promoted functions and datatypes relating to Maybe, including a promoted version of all the definitions in Data.Maybe.

Because many of these definitions are produced by Template Haskell, it is not possible to create proper Haddock documentation. Please look up the corresponding operation in Data.Maybe. Also, please excuse the apparent repeated variable names. This is due to an interaction between Template Haskell and Haddock.

Synopsis

Promoted functions from Data.Maybe

maybe_ :: forall b a. b -> (a -> b) -> Maybe a -> b Source

type family Maybe_ a a a :: b Source

Equations

Maybe_ n z Nothing = n 
Maybe_ z f (Just x) = Apply f x 

The preceding two definitions is derived from the function maybe in Data.Maybe. The extra underscore is to avoid name clashes with the type Maybe.

type family IsJust a :: Bool Source

type family IsNothing a :: Bool Source

type family FromJust a :: a Source

Equations

FromJust Nothing = Apply ErrorSym0 "Maybe.fromJust: Nothing" 
FromJust (Just x) = x 

type family FromMaybe a a :: a Source

Equations

FromMaybe d x = Case_1627754863 d x (Let_1627754854Scrutinee_1627754775Sym2 d x) 

type family MaybeToList a :: [a] Source

Equations

MaybeToList Nothing = `[]` 
MaybeToList (Just x) = Apply (Apply (:$) x) `[]` 

type family ListToMaybe a :: Maybe a Source

Equations

ListToMaybe `[]` = NothingSym0 
ListToMaybe ((:) a z) = Apply JustSym0 a 

type family CatMaybes a :: [a] Source

Equations

CatMaybes `[]` = `[]` 
CatMaybes ((:) (Just x) xs) = Apply (Apply (:$) x) (Apply CatMaybesSym0 xs) 
CatMaybes ((:) Nothing xs) = Apply CatMaybesSym0 xs 

type family MapMaybe a a :: [b] Source

Equations

MapMaybe z `[]` = `[]` 
MapMaybe f ((:) x xs) = Case_1627754820 f x xs (Let_1627754806Scrutinee_1627754777Sym3 f x xs) 

Defunctionalization symbols

data JustSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (Maybe k) -> *) (JustSym0 k) 
type Apply (Maybe k) k (JustSym0 k) l0 = JustSym1 k l0 

type JustSym1 t = Just t Source

data Maybe_Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun (TyFun k k -> *) (TyFun (Maybe k) k -> *) -> *) -> *) (Maybe_Sym0 k k) 
type Apply (TyFun (TyFun k1 k -> *) (TyFun (Maybe k1) k -> *) -> *) k (Maybe_Sym0 k k1) l0 = Maybe_Sym1 k k1 l0 

data Maybe_Sym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun (TyFun k k -> *) (TyFun (Maybe k) k -> *) -> *) (Maybe_Sym1 k k) 
type Apply (TyFun (Maybe k) k1 -> *) (TyFun k k1 -> *) (Maybe_Sym1 k1 k l1) l0 = Maybe_Sym2 k1 k l1 l0 

data Maybe_Sym2 l l l Source

Instances

SuppressUnusedWarnings (k -> (TyFun k k -> *) -> TyFun (Maybe k) k -> *) (Maybe_Sym2 k k) 
type Apply k (Maybe k1) (Maybe_Sym2 k k1 l1 l2) l0 = Maybe_Sym3 k k1 l1 l2 l0 

type Maybe_Sym3 t t t = Maybe_ t t t Source

data IsJustSym0 l Source

Instances

data FromJustSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (Maybe k) k -> *) (FromJustSym0 k) 
type Apply k (Maybe k) (FromJustSym0 k) l0 = FromJustSym1 k l0 

data FromMaybeSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun (Maybe k) k -> *) -> *) (FromMaybeSym0 k) 
type Apply (TyFun (Maybe k) k -> *) k (FromMaybeSym0 k) l0 = FromMaybeSym1 k l0 

data FromMaybeSym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun (Maybe k) k -> *) (FromMaybeSym1 k) 
type Apply k (Maybe k) (FromMaybeSym1 k l1) l0 = FromMaybeSym2 k l1 l0 

data MaybeToListSym0 l Source

Instances

data ListToMaybeSym0 l Source

Instances

data CatMaybesSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [Maybe k] [k] -> *) (CatMaybesSym0 k) 
type Apply [k] [Maybe k] (CatMaybesSym0 k) l0 = CatMaybesSym1 k l0 

data MapMaybeSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (Maybe k) -> *) (TyFun [k] [k] -> *) -> *) (MapMaybeSym0 k k) 
type Apply (TyFun [k] [k1] -> *) (TyFun k (Maybe k1) -> *) (MapMaybeSym0 k k1) l0 = MapMaybeSym1 k k1 l0 

data MapMaybeSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (Maybe k) -> *) -> TyFun [k] [k] -> *) (MapMaybeSym1 k k) 
type Apply [k1] [k] (MapMaybeSym1 k k1 l1) l0 = MapMaybeSym2 k k1 l1 l0