File: fannkuch_redux.js

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/* The Computer Language Benchmarks Game
   http://shootout.alioth.debian.org/

   contributed by Isaac Gouy, transliterated from Mike Pall's Lua program
*/

function fannkuch(n) {
  var p = Array(n), q = Array(n), s = Array(n);
  var sign = 1, maxflips = 0, sum = 0, m = n-1;
  for(var i=0; i<n; i++){ p[i] = i; q[i] = i; s[i] = i; }
  do {
    // Copy and flip.
    var q0 = p[0];                                     // Cache 0th element.
    if (q0 != 0){
      for(var i=1; i<n; i++) q[i] = p[i];             // Work on a copy.
      var flips = 1;
      do {
        var qq = q[q0];
        if (qq == 0){                                // ... until 0th element is 0.
          sum += sign*flips;
          if (flips > maxflips) maxflips = flips;   // New maximum?
          break;
        }
        q[q0] = q0;
        if (q0 >= 3){
          var i = 1, j = q0 - 1, t;
          do { t = q[i]; q[i] = q[j]; q[j] = t; i++; j--; } while (i < j);
        }
        q0 = qq; flips++;
      } while (true);
    }
    // Permute.
    if (sign == 1){
      var t = p[1]; p[1] = p[0]; p[0] = t; sign = -1; // Rotate 0<-1.
    } else {
      var t = p[1]; p[1] = p[2]; p[2] = t; sign = 1;  // Rotate 0<-1 and 0<-1<-2.
      for(var i=2; i<n; i++){
        var sx = s[i];
        if (sx != 0){ s[i] = sx-1; break; }
        if (i == m) return Array(sum,maxflips);      // Out of permutations.
        s[i] = i;
        // Rotate 0<-...<-i+1.
        t = p[0]; for(var j=0; j<=i; j++){ p[j] = p[j+1]; } p[i+1] = t;
      }
    }
  } while (true);
}

var n = 10;
var pf = fannkuch(n);
//print(pf[0] + "\n" + "Pfannkuchen(" + n + ") = " + pf[1]);