Created
July 25, 2024 23:50
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Resolução da prova
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| module Prova2 where | |
| --Questao 1 | |
| data ListaAninhada a = Elem a | Lista [ListaAninhada a] | |
| planificar :: ListaAninhada a -> [a] | |
| planificar (Elem a) = [a] | |
| planificar (Lista l) = concat $ map planificar l | |
| -- dá pra fazer assim também | |
| --planificar (Lista l) = foldr (\v s -> planificar v ++ s) [] l | |
| --Questao 2 | |
| data Expr = Lit Int | Soma Expr Expr | Sub Expr Expr | Mult Expr Expr | Div Expr Expr | |
| avalia :: Expr -> Int | |
| avalia (Lit x) = x | |
| avalia (Soma e1 e2) = avalia e1 + avalia e2 | |
| avalia (Sub e1 e2) = avalia e1 - avalia e2 | |
| avalia (Mult e1 e2) = avalia e1 * avalia e2 | |
| avalia (Div e1 e2) = avalia e1 `div` avalia e2 | |
| --Questao 3 | |
| data Arvore a = Folha | No (Arvore a) a (Arvore a) deriving Show | |
| -- mudei o nome para não dar conflito com a função repeat do prelude | |
| repeatTree :: a -> Arvore a | |
| repeatTree x = No (repeatTree x) x (repeatTree x) | |
| -- mudei o nome para não dar conflito com a função take do prelude | |
| takeTree :: (Eq t, Num t) => t -> Arvore a -> Arvore a | |
| takeTree 0 _ = Folha | |
| takeTree _ Folha = Folha | |
| takeTree n (No a1 v a2) = No (takeTree (n-1) a1) v (takeTree (n-1) a2) | |
| -- mudei o nome para não dar conflito com a função replicate do prelude | |
| replicateTree :: (Eq t, Num t) => t -> a -> Arvore a | |
| replicateTree n = takeTree n . repeatTree | |
| --Questao 4 | |
| resolveEq :: (Double, Double, Double) -> (Maybe Double, Maybe Double) | |
| resolveEq (a,b,c) | delta == 0 = (Just $ negate b / 2 * a, Just $ negate b / 2 * a) | |
| | delta > 0 = (Just $ (negate b + sqrt delta) / 2 * a, Just $ (negate b - sqrt delta) / 2 * a) | |
| | otherwise = (Nothing, Nothing) | |
| where | |
| delta = b * b - 4 * a * c |
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