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a972778eab
They don't all pass yet, for minor reasons. Coming shortly... Unfortunately the startup overhead for chez is really noticeable here!
70 lines
2.1 KiB
Idris
70 lines
2.1 KiB
Idris
module Dummy
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import Data.Vect
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namespace DList
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||| A list construct for dependent types.
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||| @aTy The type of the value contained within the list element type.
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||| @elemTy The type of the elements within the list
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||| @as The List used to contain the different values within the type.
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public export
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data DList : (aTy : Type)
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-> (elemTy : aTy -> Type)
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-> (as : List aTy)
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-> Type where
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||| Create an empty List
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Nil : DList aTy elemTy Nil
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||| Cons
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||| @elem The element to add
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||| @rest The list for `elem` to be added to.
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(::) : (elem : elemTy x)
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-> (rest : DList aTy elemTy xs)
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-> DList aTy elemTy (x::xs)
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namespace DVect
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||| A list construct for dependent types.
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||| @aTy The type of the value contained within the list element type.
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||| @elemTy The type of the elements within the list
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||| @len The length of the list.
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||| @as The List used to contain the different values within the type.
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public export
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data DVect : (aTy : Type)
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-> (elemTy : aTy -> Type)
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-> (len : Nat)
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-> (as : Vect len aTy)
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-> Type where
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||| Create an empty List
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Nil : DVect aTy elemTy Z Nil
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||| Cons
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||| @ex The element to add
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||| @rest The list for `elem` to be added to.
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(::) : (ex : elemTy x)
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-> (rest : DVect aTy elemTy n xs)
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-> DVect aTy elemTy (S n) (x::xs)
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namespace PList
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public export
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data PList : (aTy : Type)
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-> (elemTy : aTy -> Type)
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-> (predTy : aTy -> Type)
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-> (as : List aTy)
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-> (prf : DList aTy predTy as)
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-> Type
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where
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||| Create an empty List
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Nil : PList aTy elemTy predTy Nil Nil
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||| Cons
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||| @elem The element to add and proof that the element's type satisfies a certain predicate.
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||| @rest The list for `elem` to be added to.
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(::) : (elem : elemTy x)
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-> {prf : predTy x}
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-> (rest : PList aTy elemTy predTy xs prfs)
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-> PList aTy elemTy predTy (x :: xs) (prf :: prfs)
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