structured2.js

/** A universal Turing machine implementation with building blocks of structured programming */
/** Alphabet of a UTM { ε, R, r, +, #, * } */

function utm(program, input) {

    var a = ['ε', 'R', 'r', '+', '#', '*']

    var p = program,            // program
        t = Array.from(input),  // tape

        q = 1,       // current status
        h = 0,       // head position
        i = 0,       // instruction index
        x = 1,       // execution runs
        s, r, w, m   // locals (state, read, write, move)

    while (x == 1) {
        // reset locals
        s = r = w = m = 0
        // rule's starting state
        while (p[i] == 'r') {
            i = i + 1
            s = s + 1
        }
        // states match
        if (s == q) {
            // next element
            i = i + 1
            // rule's read symbol
            while (p[i] == 'r') {
                i = i + 1
                r = r + 1
            }
            if (t[h] == a[r - 1] ||
                !t[h] && a[r - 1] == 'ε') {
                // read symbols match
                r = 0
                // next element
                i = i + 1
                // write operation
                while (p[i] == 'r') {
                    i = i + 1
                    w = w + 1
                }
                t[h] = a[w - 1]
                // next element
                i = i + 1
                // move operation
                while (p[i] == 'r') {
                    i = i + 1
                    m = m + 1
                }
                if (m == 1) h = h - 1
                if (m == 2) h = h + 1
                // next element
                i = i + 1
                // next state
                s = 0
                while (p[i] == 'r') {
                    i = i + 1
                    s = s + 1
                }
                q = s
                // reset
                i = 0
            } // read symbols match
        } // states match

        // no match
        if (s != q || r != 0) { 
            // skip remaining elements
            i = i + 1
            while (p[i] == 'r') i = i + 1
            i = i + 1
            while (p[i] == 'r') i = i + 1
            i = i + 1
            while (p[i] == 'r') i = i + 1
            // one element more when
            // no read symbol was checked
            if (r == 0) {
                i = i + 1
                while (p[i] == 'r') i = i + 1
            }
            // no rule left
            if (!p[i]) x = 0
            // separator of quintuples
            i = i + 1 
        } // no match
    } // running
    return t.join('')
}

const u = 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console.log(utm(u, 'rRrrRrRrrRrRRrrrR')) // RRRR
console.log(utm(u, 'rRrRrrRrrRrrRrrRrrRrRrrRrRRRrRrRr')) // rRrRrR
console.log(utm(u, 'rRrRrRrrRrrRrrRrRrrRrrRrrrRrrrRrRrrRrrRrRRRRRRRRRRRRRRR')) // RrrRrrRrrRrrR
console.log(utm(u, 'rRrrRrrRrrRrRrRrRrrRrrRrrRrrRrrRrrRrrRrrRrrRrRrRrRrrrRrrrRrrRrRrrRrrrrRRrrRrrrR')) // rrrrrRR
// /* works, but takes a lot of CPU time */ console.log(utm(u, 'rRrrRrrRrrRrrRrrRrrRrrRrRrrrRrrrRrrRrRrrRrrrrRrrrrRrrRrrRrrRrrrrRrrrrRrRrRrRrrrrrRrrrrrRrrRrrRrRrrrrrrRrrrrrrRrrRrrRrrRrrrrrrrRrrrrrrRrRrRrrRrRrrrrrrrRrrRrRrRrrrrrrrrRrrrrrrrrRrrRrrRrRrrrrrrrrRrrrrrrrrRrRrRrrRrRrrRrRrRrRrrrrrrrrrRrrrrrrrrrRrrRrRrRrrrrrrrrrrRrrrrrrrrrrRrRrrRrRrrrrrrrrrrRRrrrrrrrrR')) // rrrrRRRRR