------------------------------------------------------------------------
-- The Agda standard library
--
-- Bounded vectors (inefficient, concrete implementation)
------------------------------------------------------------------------

-- Vectors of a specified maximum length.

module Data.BoundedVec.Inefficient where

open import Data.Nat
open import Data.List

------------------------------------------------------------------------
-- The type

infixr 5 _∷_

data BoundedVec {a} (A : Set a) :   Set a where
  []  :  {n}  BoundedVec A n
  _∷_ :  {n} (x : A) (xs : BoundedVec A n)  BoundedVec A (suc n)

------------------------------------------------------------------------
-- Increasing the bound

-- Note that this operation is linear in the length of the list.

 :  {a n} {A : Set a}  BoundedVec A n  BoundedVec A (suc n)
 []       = []
 (x  xs) = x   xs

------------------------------------------------------------------------
-- Conversions

fromList :  {a} {A : Set a}  (xs : List A)  BoundedVec A (length xs)
fromList []       = []
fromList (x  xs) = x  fromList xs

toList :  {a n} {A : Set a}  BoundedVec A n  List A
toList []       = []
toList (x  xs) = x  toList xs