HaskCalc/cp2223t/NEList.hs

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2022-11-19 11:35:14 +00:00
-- (c) MP-I (1998/9-2006/7) and CP (2005/6-2022/23)
module NEList where
import Cp
-- (1) Datatype definition -----------------------------------------------------
-- data [a] = a | (:) a ( a) deriving Show
inl = either singl (uncurry (:))
out [a] = Left a
out (a:x) = Right(a,x)
-- (2) Ana + cata + hylo -------------------------------------------------------
base g f = g -|- (g >< f)
rec f = base id f
cata g = g . rec (cata g) . out
ana g = inl . (rec (ana g) ) . g
hylo h g = cata h . ana g
-- (3) Examples ----------------------------------------------------------------
concatg ([],ys) = i1 ys
concatg (x:xs,ys) = i2([x],(xs,ys))
concath = either id f
where f([a],l) = a:l
glast = cata (either id p2)
{--
merge (l,[]) = l
merge ([],r) = r
merge (x:xs,y:ys) | x < y = x : merge(xs,y:ys)
| otherwise = y : merge(x:xs,ys)
--}
mrg (l,[]) = i1 l
mrg ([],r) = i1 r
mrg (x:xs,y:ys) | x < y = i2(x,(xs,y:ys))
| otherwise = i2(y,(x:xs,ys))