264
votes

Which algorithm does the JavaScript Array#sort() function use? I understand that it can take all manner of arguments and functions to perform different kinds of sorts, I'm simply interested in which algorithm the vanilla sort uses.

9
You should consider an alternate solution from the ones given.Anthony
It's unspecified by the language spec and dependent on implementation. Answers in this thread are (currently) very outdated and/or specific to a particular implementation (and if they're not and not kept updated, they will become outdated). As of now, V8 7.0 uses Timsort.ggorlen

9 Answers

326
votes

I've just had a look at the WebKit (Chrome, Safari …) source. Depending on the type of array, different sort methods are used:

Numeric arrays (or arrays of primitive type) are sorted using the C++ standard library function std::qsort which implements some variation of quicksort (usually introsort).

Contiguous arrays of non-numeric type are stringified and sorted using mergesort, if available (to obtain a stable sorting) or qsort if no merge sort is available.

For other types (non-contiguous arrays and presumably for associative arrays) WebKit uses either selection sort (which they call “min” sort) or, in some cases, it sorts via an AVL tree. Unfortunately, the documentation here is rather vague so you’d have to trace the code paths to actually see for which types which sort method is used.

And then there are gems like this comment:

// FIXME: Since we sort by string value, a fast algorithm might be to use a
// radix sort. That would be O(N) rather than O(N log N).

– Let’s just hope that whoever actually “fixes” this has a better understanding of asymptotic runtime than the writer of this comment, and realises that radix sort has a slightly more complex runtime description than simply O(N).

(Thanks to phsource for pointing out the error in the original answer.)

79
votes

If you look at this bug 224128, it appears that MergeSort is being used by Mozilla.

57
votes

There is no draft requirement for JS to use a specific sorting algorthim. As many have mentioned here, Mozilla uses merge sort.However, In Chrome's v8 source code, as of today, it uses QuickSort and InsertionSort, for smaller arrays.

V8 Engine Source

From Lines 807 - 891

  var QuickSort = function QuickSort(a, from, to) {
    var third_index = 0;
    while (true) {
      // Insertion sort is faster for short arrays.
      if (to - from <= 10) {
        InsertionSort(a, from, to);
        return;
      }
      if (to - from > 1000) {
        third_index = GetThirdIndex(a, from, to);
      } else {
        third_index = from + ((to - from) >> 1);
      }
      // Find a pivot as the median of first, last and middle element.
      var v0 = a[from];
      var v1 = a[to - 1];
      var v2 = a[third_index];
      var c01 = comparefn(v0, v1);
      if (c01 > 0) {
        // v1 < v0, so swap them.
        var tmp = v0;
        v0 = v1;
        v1 = tmp;
      } // v0 <= v1.
      var c02 = comparefn(v0, v2);
      if (c02 >= 0) {
        // v2 <= v0 <= v1.
        var tmp = v0;
        v0 = v2;
        v2 = v1;
        v1 = tmp;
      } else {
        // v0 <= v1 && v0 < v2
        var c12 = comparefn(v1, v2);
        if (c12 > 0) {
          // v0 <= v2 < v1
          var tmp = v1;
          v1 = v2;
          v2 = tmp;
        }
      }
      // v0 <= v1 <= v2
      a[from] = v0;
      a[to - 1] = v2;
      var pivot = v1;
      var low_end = from + 1;   // Upper bound of elements lower than pivot.
      var high_start = to - 1;  // Lower bound of elements greater than pivot.
      a[third_index] = a[low_end];
      a[low_end] = pivot;

      // From low_end to i are elements equal to pivot.
      // From i to high_start are elements that haven't been compared yet.
      partition: for (var i = low_end + 1; i < high_start; i++) {
        var element = a[i];
        var order = comparefn(element, pivot);
        if (order < 0) {
          a[i] = a[low_end];
          a[low_end] = element;
          low_end++;
        } else if (order > 0) {
          do {
            high_start--;
            if (high_start == i) break partition;
            var top_elem = a[high_start];
            order = comparefn(top_elem, pivot);
          } while (order > 0);
          a[i] = a[high_start];
          a[high_start] = element;
          if (order < 0) {
            element = a[i];
            a[i] = a[low_end];
            a[low_end] = element;
            low_end++;
          }
        }
      }
      if (to - high_start < low_end - from) {
        QuickSort(a, high_start, to);
        to = low_end;
      } else {
        QuickSort(a, from, low_end);
        from = high_start;
      }
    }
  };

Update As of 2018 V8 uses TimSort, thanks @celwell. Source

25
votes

The ECMAscript standard does not specify which sort algorithm is to be used. Indeed, different browsers feature different sort algorithms. For example, Mozilla/Firefox's sort() is not stable (in the sorting sense of the word) when sorting a map. IE's sort() is stable.

9
votes

I think that would depend on what browser implementation you are refering to.

Every browser type has it's own javascript engine implementation, so it depends. You could check the sourcecode repos for Mozilla and Webkit/Khtml for different implementations.

IE is closed source however, so you may have to ask somebody at microsoft.

9
votes

After some more research, it appears, for Mozilla/Firefox, that Array.sort() uses mergesort. See the code here.

6
votes

As of V8 v7.0 / Chrome 70, V8 uses TimSort, Python's sorting algorithm. Chrome 70 was released on September 13, 2018.

See the the post on the V8 dev blog for details about this change. You can also read the source code or patch 1186801.

-1
votes

JavaScript's Array.sort() function has internal mechanisms to selects the best sorting algorithm ( QuickSort, MergeSort, etc) on the basis of the datatype of array elements.

-1
votes

try this with quick sort:

function sort(arr, compareFn = (a, b) => a <= b) {

    if (!arr instanceof Array || arr.length === 0) {
        return arr;
    }

    if (typeof compareFn !== 'function') {
        throw new Error('compareFn is not a function!');
    }

    const partition = (arr, low, high) => {
        const pivot = arr[low];
        while (low < high) {
            while (low < high && compareFn(pivot, arr[high])) {
                --high;
            }
            arr[low] = arr[high];
            while (low < high && compareFn(arr[low], pivot)) {
                ++low;
            }
            arr[high] = arr[low];
        }
        arr[low] = pivot;
        return low;
    };

    const quickSort = (arr, low, high) => {
        if (low < high) {
            let pivot = partition(arr, low, high);
            quickSort(arr, low, pivot - 1);
            quickSort(arr, pivot + 1, high);
        }
        return arr;
    };

    return quickSort(arr, 0, arr.length - 1);
}