5_asm.fc

{-
  TASK 5 - Fibonacci sequence
  Implement a function that generates the Fibonacci
  sequence from N to N+K terms (0<=N<=370; 0<=N+K<=370; 0<=K<=255).
  The first two terms of the Fibonacci sequence are F_0 = 0 and F_1 = 1,
  and the rest are defined as F_n = F_(n-1) + F_(n-2).
  The resulting Fibonacci sequence should be stored in a tuple.
  For example, a request with N = 1 and K = 3 should return a tuple [1, 1, 2],
  and a request with N = 201 and K = 4 should return a tuple
  [453973694165307953197296969697410619233826,
  734544867157818093234908902110449296423351,
  1188518561323126046432205871807859915657177,
  1923063428480944139667114773918309212080528]
-}

() recv_internal() {
}

() code(int n, int k) impure asm """
    DUP // n k k
    2 LESSINT // n k k<2
    IFJMP:<{ // n k
        DUP // n k k
        0 EQINT // n k k==0
        IFJMP:<{ // n k
            DROP2 // empty
            NIL // []
        }>

        OVER // n k n
        370 PUSHINT // n k n 370
        EQUAL // n k n==370
        IFJMP:<{ // n k
            DROP2 // empty
            94611056096305838013295371573764256526437182762229865607320618320601813254535 PUSHINT
            1 TUPLE
        }>

        DUP // n k k
        1 EQINT // n k k==1
        IFJMP:<{ // n k
            DROP // n
            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B>boc PUSHREF
            9 PUSHINT // n dict 9
            DICTUGET // x -1
            DROP // x
            256 PUSHINT // x 256
            PLDUX // n
            1 TUPLE
        }>
    }>

    SWAP // k n
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B>boc PUSHREF
    9 PUSHINT // k n dict 9
    DICTUGET // k x -1
    DROP // k x
    256 PUSHINT // k x 256
    LDUX // k F_0 s'
    256 PUSHINT // k F_0 s' 256
    PLDUX // k F_0 F_1
    ROT // F_0 F_1 k
    -2 ADDCONST // F_0 F_1 k-2
    REPEAT:<{ // F_0 F_1
        DUP2 // F_0 F_1 F_0 F_1
        ADD // F_0 F_1 F_0+F_1
    }>
    DEPTH
    TUPLEVAR
""";

;; testable
() fibonacci_sequence (int n, int k) method_id {
    code(n, k);
}