Safe Haskell | None |
---|---|

Language | Haskell2010 |

Utils for type lists

## Synopsis

- type family Snoc (xs :: [k]) (x :: k) :: [k] where ...
- type family Concat (xs :: [k]) (ys :: [k]) :: [k] where ...
- type family Replicate (n :: Nat) (s :: k) :: [k] where ...
- type family Zip (l :: [*]) (l2 :: [*]) where ...
- type family RemoveAt (n :: Nat) (l :: [k]) :: [k] where ...
- type family RemoveAt1 (n :: Nat) (l :: [k]) :: [k] where ...
- type family RemoveAtN (ns :: [Nat]) (l :: [k]) :: [k] where ...
- type family Remove (a :: k) (l :: [k]) :: [k] where ...
- type family Nub (l :: [k]) :: [k] where ...
- type family NubHead (l :: [k]) :: [k] where ...
- type family Head (xs :: [k]) :: k where ...
- type family Tail (xs :: [k]) :: [k] where ...
- type family Init (xs :: [k]) :: [k] where ...
- type family Take (n :: Nat) (xs :: [k]) :: [k] where ...
- type family Drop (n :: Nat) (xs :: [k]) :: [k] where ...
- type family InsertAt (n :: Nat) (l :: [k]) (l2 :: [k]) :: [k] where ...
- type family ReplaceAt (n :: Nat) (l :: [k]) (l2 :: [k]) :: [k] where ...
- type family Replace (t1 :: k) (t2 :: k) (l :: [k]) :: [k] where ...
- type family ReplaceN (n :: Nat) (t :: k) (l :: [k]) :: [k] where ...
- type family ReplaceNS (ns :: [Nat]) (t :: k) (l :: [k]) :: [k] where ...
- type family CheckMember (a :: k) (l :: [k]) :: Constraint where ...
- type family CheckMembers (l1 :: [k]) (l2 :: [k]) :: Constraint where ...
- type family Union (xs :: [k]) (ys :: [k]) :: [k] where ...
- type family Complement (xs :: [k]) (ys :: [k]) :: [k] where ...
- type family Product (xs :: [*]) (ys :: [*]) :: [*] where ...
- type Member x xs = (x ~ Index (IndexOf x xs) xs, KnownNat (IndexOf x xs))
- type family Members xs ys :: Constraint where ...
- type CheckNub (l :: [k]) = CheckNubEx l (Nub l) ~ True
- type family IndexOf (a :: k) (l :: [k]) :: Nat where ...
- type family IndexesOf (a :: k) (l :: [k]) :: [Nat] where ...
- type family MaybeIndexOf (a :: k) (l :: [k]) where ...
- type family Index (n :: Nat) (l :: [k]) :: k where ...
- type family Reverse (l :: [k]) :: [k] where ...
- type family Generate (n :: Nat) (m :: Nat) :: [Nat] where ...
- type family Map (f :: a -> k) (xs :: [a]) :: [k] where ...
- type family Max (xs :: [Nat]) where ...
- type family Length (xs :: [k]) :: Nat where ...
- type family Indexes (l :: [k]) :: [Nat] where ...
- type family MapTest (a :: k) (l :: [k]) :: [Nat] where ...

# Construction

type family Replicate (n :: Nat) (s :: k) :: [k] where ... Source #

Replicate

Replicate n s = Replicate' s n '[] |

# Removal

type family RemoveAt1 (n :: Nat) (l :: [k]) :: [k] where ... Source #

Remove a type at index (0 == don't remove)

type family RemoveAtN (ns :: [Nat]) (l :: [k]) :: [k] where ... Source #

Remove types at several indexes

# Sublist

# Insert/replace

type family ReplaceAt (n :: Nat) (l :: [k]) (l2 :: [k]) :: [k] where ... Source #

replace l[n] with l2 (folded)

type family Replace (t1 :: k) (t2 :: k) (l :: [k]) :: [k] where ... Source #

replace a type by another in l

type family ReplaceN (n :: Nat) (t :: k) (l :: [k]) :: [k] where ... Source #

replace a type at offset n in l

type family ReplaceNS (ns :: [Nat]) (t :: k) (l :: [k]) :: [k] where ... Source #

replace types at offsets ns in l

# Set operations

type family CheckMember (a :: k) (l :: [k]) :: Constraint where ... Source #

Check that a type is member of a type list

CheckMember a l = CheckMember' l a l |

type family CheckMembers (l1 :: [k]) (l2 :: [k]) :: Constraint where ... Source #

Check that a list is a subset of another

CheckMembers l1 l1 = () | |

CheckMembers l1 l2 = CheckMembers' l2 '[] l1 l2 |

type family Complement (xs :: [k]) (ys :: [k]) :: [k] where ... Source #

Complement xs ys

Complement xs '[] = xs | |

Complement xs (y ': ys) = Complement (Remove y xs) ys |

type Member x xs = (x ~ Index (IndexOf x xs) xs, KnownNat (IndexOf x xs)) Source #

Constraint: x member of xs

type family Members xs ys :: Constraint where ... Source #

Constraint: all the xs are members of ys

type CheckNub (l :: [k]) = CheckNubEx l (Nub l) ~ True Source #

Check that a list only contain a value of each type

# Index operations

type family IndexOf (a :: k) (l :: [k]) :: Nat where ... Source #

Get the first index of a type

IndexOf x xs = IndexOf' x xs xs |

type family IndexesOf (a :: k) (l :: [k]) :: [Nat] where ... Source #

Get all the indexes of a type

IndexesOf x xs = IndexesOf' 0 x xs |

type family MaybeIndexOf (a :: k) (l :: [k]) where ... Source #

Get the first index (starting from 1) of a type or 0 if none

MaybeIndexOf x xs = MaybeIndexOf' 0 x xs |

# Nat list

type family Generate (n :: Nat) (m :: Nat) :: [Nat] where ... Source #

Generate a list of Nat [n..m-1]

# Others

type family Max (xs :: [Nat]) where ... Source #

Get the max of a list of Nats

Max (x ': xs) = Max' x xs |