Created
June 28, 2021 16:08
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Demonstration of issue in idris2
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module Main | |
import Data.Vect | |
||| View for splitting a vector in half, non-recursively | |
public export | |
data Split : Vect n a -> Type where | |
SplitNil : Split [] | |
SplitOne : Split [x] | |
||| two non-empty parts | |
SplitPair : {n : Nat} -> {m : Nat} -> | |
(xs : Vect (S n) a) -> (ys : Vect (S m) a) -> | |
Split (xs ++ ys) | |
total | |
splitHelp : {lz : Nat} -> (head : a) -> (zs : Vect lz a) -> | |
Nat -> Split (head :: zs) | |
splitHelp head [] _ = SplitOne | |
splitHelp head (z :: zs) 0 = SplitPair [head] (z :: zs) | |
splitHelp head (z :: zs) 1 = SplitPair [head] (z :: zs) | |
splitHelp head (z :: zs) (S (S k)) | |
= case splitHelp z zs k of | |
SplitOne => SplitPair [head] (z :: zs) | |
SplitPair (x :: xs) ys => SplitPair (head :: x :: xs) ys | |
-- SplitPair Nil _ impossible |
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