Created
February 16, 2016 20:26
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Convert integers to Roman Numerals
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let rec repeat x (s : string) : string = | |
match x with | |
| 0 -> "" | |
| x -> s + (repeat (x-1) s) | |
let roman_numeral_ordering n (one : string) (five : string) (ten : string) = | |
match n with | |
| 0 -> "" | |
| n when n < 4 -> repeat n one | |
| n when n = 4 -> one + five | |
| n when n = 5 -> five | |
| n when 5 < n && n < 9 -> five + (repeat (n - 5) one) | |
| n when n = 9 -> one + ten | |
| n -> "unknown" | |
let century_roman m = | |
match m with | |
| 0 -> "" | |
| 1 -> "M" | |
| m -> "unknown" | |
let hundreds_roman m = | |
match m with | |
| m when m < 10 -> roman_numeral_ordering m "C" "D" "M" | |
| m -> "unknown" | |
let tens_roman m = | |
match m with | |
| m when m < 10 -> roman_numeral_ordering m "X" "L" "C" | |
| m -> "unknown" | |
let ones_roman m = | |
match m with | |
| m when m < 10 -> roman_numeral_ordering m "I" "V" "X" | |
| m -> "unknown" | |
let rec convert_to_roman x : string = | |
match x with | |
| x when (float x)/1000.0 >= 1.0 -> (century_roman (x/1000)) + convert_to_roman (x%1000) | |
| x when (float x)/100.0 >= 1.0 -> hundreds_roman (x/100) + convert_to_roman (x%100) | |
| x when (float x)/10.0 >= 1.0 -> tens_roman (x/10) + convert_to_roman (x%10) | |
| x when (float x) >= 1.0 -> ones_roman x | |
| x -> "" | |
let rec print_roman_numerals i = | |
match i with | |
| 1999 -> printfn "Done" | |
| i -> printfn "%i : %s\n" i (convert_to_roman (i)); print_roman_numerals (i+1) | |
// single example | |
convert_to_roman 1984 |> printfn "%A" | |
// print all | |
print_roman_numerals 1;; |
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