67 lines
984 B
Markdown
67 lines
984 B
Markdown
## 1.1 - Product
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```Ocaml
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let rec product = function
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| [] -> 0
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| x::t -> x * product t;;
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```
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## 1.2 - Count
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```Ocaml
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let rec count x n =
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if x = [] then
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0
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else
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let e::t = x in
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if e = x then
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1 + count t n
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else
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count t n;;
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```
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## 1.3 - Search
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```Ocaml
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let rec search x n =
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if x = [] then
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0
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else
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let e::t = x in
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if e = x then
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true
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else
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search t n;;
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```
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## 1.4 - $n^{th}$
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```Ocaml
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let rec length l =
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if l = [] then
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0
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else
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let e::t = l in
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1 + length t;;
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let rec nth x n =
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if (x = [] || n =< 0) then
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Invalid_arg "The number of element in the list is 0"
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else if length x < n then
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Failwith "The list is too short"
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else
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let e::t = x in
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if n = 0
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return e
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else
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nth t (n-1) ;;
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```
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## 1.5 - Maximum
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```Ocaml
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let rec max_value list = match list with
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| [] -> failwith "La liste est vide"
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| [x] -> x
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| hd :: tl ->
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let max_tail = max_value tl in
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if hd > max_tail then hd else max_tail;;
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```
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## 1.6 - Bonus second
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```Ocaml
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