projprog/HSK15.md

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# Haskell 15
### Exercice 1
1.
```
myMean :: Fractional a => Real a => a -> a -> String
myMean x y
| (x+y)/2>12 = "You are a good student"
| (x+y)/2>=10 = "You can be do what you want to do"
| otherwise = "You are a bad student"
```
2. Le mot-clé `where` sert en Haskell à définir des variables temporaires afin d'éviter de réutiliser une expression à plusieurs emplacement du code. Cela permet d'assure que le calcul n'est effectué qu'une seule fois.
3.
```
myMean2 :: Fractional a => Real a => a -> a -> String
myMean2 x y
| moy>12 = "You are a good student"
| moy>=10 = "You can be do what you want to do"
| otherwise = "You are a bad student"
where moy=(x+y)/2
```
L'intéret est que les variables on plus de sens (car elles ont maintenant un nom) que des formules.
4.
```
myMean3 :: Fractional a => Real a => a -> a -> String
myMean3 x y
| moy>=acceptable = "You are a good student"
| moy>=pass = "You can be do what you want to do"
| otherwise = "You are a bad student"
where
moy=(x+y)/2
pass=10
acceptable=12
```
### Exercice 2
1. Il est tout à fait possible d'utiliser le *pattern matching* dans un `where`.
2.
```
myMean4 :: Fractional a => Real a => a -> a -> String
myMean4 x y
| moy>=acceptable = "You are a good student"
| moy>=pass = "You can be do what you want to do"
| otherwise = "You are a bad student"
where (moy,pass,acceptable)=((x+y)/2,10,12)
```
3.
```
whereList :: Show a => Show b => [a] -> [b] -> String
whereList l1 l2
| length l1 > 1 && length l2 > 1 = show secondl1 ++ " " ++ show lastl2
| length l1 <= 1 && length l2 <= 1 = "The lengths of l1 and l2 are too short"
| length l1 <= 1 = "The length of l1 is too short"
| length l2 <= 1 = "The length of l2 is too short"
where
_:secondl1:_ = l1
lastl2 = last l2
```
### Exercice 3
1. Il est tout à fait possible de définir des fonctions dans un `where`.
2.
```
listMean :: [(Double,Double)] -> [Double]
listMean l = [moy x y | (x,y) <- l]
where moy u v = (u+v)/2
```