2024-11-13 21:50:44 +01:00
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open MiniImp
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let get_result x =
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2024-11-15 17:23:04 +01:00
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Lexing.from_string x |> Parser.prg Lexer.lex |> Semantics.reduce
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2024-11-13 21:50:44 +01:00
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(* -------------------------------------------------------------------------- *)
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(* Identity program *)
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let program =
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"main a b {b := a}"
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;;
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Printf.printf "Identity program: %d\n" (get_result program 1);;
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(* -------------------------------------------------------------------------- *)
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(* y not defined program *)
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let program =
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"main a b {x := 1; b := a + x + y}"
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;;
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try
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Printf.printf "y not defined program: %d\n" (get_result program 100)
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with Types.AbsentAssignment s ->
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Printf.printf "y not defined program: %s\n" s
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;;
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(* -------------------------------------------------------------------------- *)
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(* Factorial program *)
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let program =
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"main a b {
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b := 1;
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for (i := 1, i <= a, i := i + 1) do {
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b := b * i;
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}
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}
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"
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;;
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Printf.printf "Factorial program: %d\n" (get_result program 10)
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;;
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(* -------------------------------------------------------------------------- *)
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(* Hailstone sequence's lenght program *)
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let program =
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"main a b {
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b := 1;
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while (not a == 1) do {
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b := b + 1;
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if ((a % 2) == 1) a := 3 * a + 1 else a := a / 2
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}
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}"
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;;
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Printf.printf "Hailstone sequence's lenght program: %d\n" (get_result program 77031)
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;;
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(* -------------------------------------------------------------------------- *)
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(* Sum multiples of 3 and 5 program *)
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let program =
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"main a b {
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b := 0;
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for (i := 0, i <= a, i := i+1) do {
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if ( i % 3 == 0 || i % 5 == 0) {b := b + i} else {skip}
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}
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}"
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;;
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Printf.printf "Sum multiples of 3 and 5 program: %d\n" (get_result program 12345)
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;;
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(* -------------------------------------------------------------------------- *)
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(* Rand program *)
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let program =
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"main a b {b := rand(a)}"
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;;
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Printf.printf "Rand program: %b\n" ((get_result program 10) < 10)
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;;
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(* -------------------------------------------------------------------------- *)
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(* Fibonacci program *)
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let program =
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"main n fnext {
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fnow := 0;
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fnext := 1;
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while (n > 1) do {
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tmp := fnow + fnext;
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fnow := fnext;
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fnext := tmp;
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n := n - 1
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}
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}"
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;;
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Printf.printf "Fibonacci program: %d\n" (get_result program 48)
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;;
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(* -------------------------------------------------------------------------- *)
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(* Miller-Rabin primality test program *)
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let program =
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"main n result {
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result := 0;
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s := 0;
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while (0 == ((n - 1) / (2 ^ s)) % 2) do {
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s := s + 1
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};
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d := ((n - 1) / 2 ^ s);
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for (i := 20, i > 0, i := i - 1) do {
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a := rand(n - 4) + 2;
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x := powmod(a, d, n);
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for (j := 0, j < s, j := j+1) do {
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y := powmod(x, 2, n);
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if (y == 1 && (not x == 1) && (not x == n - 1))
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{result := 1}
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else
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{skip};
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x := y
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};
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if (not y == 1) {result := 1} else {skip}
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}
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}"
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;;
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(* should return 0 because prime *)
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Printf.printf "Miller-Rabin primality test program: %d\n" (get_result program 179424673)
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;;
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(* should return 1 because not prime *)
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Printf.printf "Miller-Rabin primality test program: %d\n" (get_result program 179424675)
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;;
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