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|
datatype t = datatype Basis.list
val show = fn [a] (_ : show a) =>
let
fun show' (ls : list a) =
case ls of
[] => "[]"
| x :: ls => show x ^ " :: " ^ show' ls
in
mkShow show'
end
val eq = fn [a] (_ : eq a) =>
let
fun eq' (ls1 : list a) ls2 =
case (ls1, ls2) of
([], []) => True
| (x1 :: ls1, x2 :: ls2) => x1 = x2 && eq' ls1 ls2
| _ => False
in
mkEq eq'
end
fun foldl [a] [b] f =
let
fun foldl' acc ls =
case ls of
[] => acc
| x :: ls => foldl' (f x acc) ls
in
foldl'
end
fun foldlPartial [a] [b] f =
let
fun foldlPartial' acc ls =
case ls of
[] => Some acc
| x :: ls =>
case f x acc of
None => None
| Some acc' => foldlPartial' acc' ls
in
foldlPartial'
end
val rev = fn [a] =>
let
fun rev' acc (ls : list a) =
case ls of
[] => acc
| x :: ls => rev' (x :: acc) ls
in
rev' []
end
val revAppend = fn [a] =>
let
fun ra (ls : list a) acc =
case ls of
[] => acc
| x :: ls => ra ls (x :: acc)
in
ra
end
fun append [a] (ls1 : t a) (ls2 : t a) = revAppend (rev ls1) ls2
fun mp [a] [b] f =
let
fun mp' acc ls =
case ls of
[] => rev acc
| x :: ls => mp' (f x :: acc) ls
in
mp' []
end
fun mapPartial [a] [b] f =
let
fun mp' acc ls =
case ls of
[] => rev acc
| x :: ls => mp' (case f x of
None => acc
| Some y => y :: acc) ls
in
mp' []
end
fun mapX [a] [ctx ::: {Unit}] f =
let
fun mapX' ls =
case ls of
[] => <xml/>
| x :: ls => <xml>{f x}{mapX' ls}</xml>
in
mapX'
end
fun mapM [m ::: (Type -> Type)] (_ : monad m) [a] [b] f =
let
fun mapM' acc ls =
case ls of
[] => return (rev acc)
| x :: ls => x' <- f x; mapM' (x' :: acc) ls
in
mapM' []
end
fun mapXM [m ::: (Type -> Type)] (_ : monad m) [a] [ctx ::: {Unit}] f =
let
fun mapXM' ls =
case ls of
[] => return <xml/>
| x :: ls =>
this <- f x;
rest <- mapXM' ls;
return <xml>{this}{rest}</xml>
in
mapXM'
end
fun filter [a] f =
let
fun fil acc ls =
case ls of
[] => rev acc
| x :: ls => fil (if f x then x :: acc else acc) ls
in
fil []
end
fun exists [a] f =
let
fun ex ls =
case ls of
[] => False
| x :: ls =>
if f x then
True
else
ex ls
in
ex
end
fun foldlMap [a] [b] [c] f =
let
fun fold ls' st ls =
case ls of
[] => (rev ls', st)
| x :: ls =>
case f x st of
(y, st) => fold (y :: ls') st ls
in
fold []
end
fun search [a] [b] f =
let
fun search' ls =
case ls of
[] => None
| x :: ls =>
case f x of
None => search' ls
| v => v
in
search'
end
fun foldlM [m] (_ : monad m) [a] [b] f =
let
fun foldlM' acc ls =
case ls of
[] => return acc
| x :: ls =>
acc <- f x acc;
foldlM' acc ls
in
foldlM'
end
fun all [m] f =
let
fun all' ls =
case ls of
[] => True
| x :: ls => f x && all' ls
in
all'
end
fun app [m] (_ : monad m) [a] f =
let
fun app' ls =
case ls of
[] => return ()
| x :: ls =>
f x;
app' ls
in
app'
end
fun assoc [a] [b] (_ : eq a) (x : a) =
let
fun assoc' (ls : list (a * b)) =
case ls of
[] => None
| (y, z) :: ls =>
if x = y then
Some z
else
assoc' ls
in
assoc'
end
fun assocAdd [a] [b] (_ : eq a) (x : a) (y : b) (ls : t (a * b)) =
case assoc x ls of
None => (x, y) :: ls
| Some _ => ls
|