Dead Man by Joe Gores

By Joe Gores

Swept clear of his loving relatives whilst his desktop investigations make him the objective of a mysterious enemy, Eddie Dain resurfaces as a informed killer with lethal instincts and a force for revenge.

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Sans partie else. La partie else omise est implicitement compl´et´ee par le compilateur, qui ajoute else (), autrement dit « sinon rien ». Ainsi, le code : if i >= 0 then begin ... end;; est compris par Caml comme si nous avions ´ecrit : if i >= 0 then begin ... end else ();; Cette compl´etion automatique vous explique pourquoi la phrase suivante est mal typ´ee : # if true then 1;; Entr´ ee interactive: >if true then 1;; > ^ Cette expression est de type int, mais est utilis´ ee avec le type unit.

Plus pr´ecis´ement, il faut n multiplications, n+1 appels r´ecursifs `a la fonction factorielle et n soustractions. Si l’on consid`ere que ces trois types d’op´erations ont des coˆ uts voisins, alors la complexit´e de factorielle est de l’ordre de 2n + (n + 1), c’est-` a-dire de l’ordre de 3n. On consid´erera donc que la fonction factorielle a une complexit´e qui augmente au mˆeme rythme que son argument, ce qu’on note O(n) et qu’on prononce « grand-o de n ». Plus pr´ecis´ement, O(n) signifie « un certain nombre de fois » n, plus des termes n´egligeables devant n quand n devient grand, comme par exemple une constante.

1: Comment r´esoudre le probl`eme des tours de Hanoi. 30 R´ecursivit´e Le programme Supposons que les tiges s’appellent A, B et C, que n soit le nombre de disques, tous pos´es au d´epart sur la tige A, et que nous devions les mettre sur la tige C. L’astuce consiste ` a se rendre compte que si nous savions comment r´esoudre le probl`eme pour n − 1 disques alors nous saurions le faire pour n, sans violer la r`egle. En effet, si l’on suppose les n − 1 disques d´ej` a pos´es sur la tige B, le dernier disque encore pos´e sur la tige A est le plus gros disque.

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