Run results for: Javascript Sorting Algorithms 3

Run details:

User agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/116.0.0.0 Safari/537.36

Browser: Chrome 116

Operating system: Windows

Device Platform: Desktop

Date tested: one year ago

Test name	Executions per second
Built-in Sort	4446.8 Ops/sec
Naive Quicksort	43339.3 Ops/sec
Inplace Quicksort	43965.4 Ops/sec
Heap Sort	14603.8 Ops/sec
Merge Sort	6759.2 Ops/sec
Shell Sort	22012.9 Ops/sec
Comb Sort	11570.8 Ops/sec
Insertion Sort	296896.1 Ops/sec
Fast QuickSort	91690.3 Ops/sec
mSort	15271.2 Ops/sec
Radix Bucket Sort	4589.3 Ops/sec
Bubble Sort	1176.8 Ops/sec
Iterative quick sort	760.8 Ops/sec

HTML Preparation code:

<script>
  
  function quickSortHelper(arrayInput, left, right) {
  let i = left;
  let j = right;
  let pivotPoint = arrayInput[Math.round((left + right) * .5)];

  // Loop
  while (i <= j) {

    while (arrayInput[i] < pivotPoint) {
      i++;
    }

    while (arrayInput[j] > pivotPoint) {
      j--;
    }

    if (i <= j) {
      let tempStore = arrayInput[i];

      arrayInput[i] = arrayInput[j];
      i++;

      arrayInput[j] = tempStore;
      j--;
    }

  }

  // Swap
  if (left < j) {
    quickSortHelper(arrayInput, left, j);
  }

  if (i < right) {
    quickSortHelper(arrayInput, i, right);
  }

  return arrayInput;
}

function quickSort(input) {
  return quickSortHelper(input, 0, input.length - 1);
}
                
                
  // Javascript program for implementation of QuickSort
      
    /* This function takes last element as pivot,
    places the pivot element at its correct
    position in sorted array, and places all
    smaller (smaller than pivot) to left of
    pivot and all greater elements to right
    of pivot */
    function partition(arr, low, high)
    {
        let temp;
        let pivot = arr[high];
   
        // index of smaller element
        let i = (low - 1);
        for (let j = low; j <= high - 1; j++) {
            // If current element is smaller
            // than or equal to pivot
            if (arr[j] <= pivot) {
                i++;
   
                // swap arr[i] and arr[j]
                temp = arr[i];
                arr[i] = arr[j];
                arr[j] = temp;
            }
        }
   
        // swap arr[i+1] and arr[high]
        // (or pivot)
   
        temp = arr[i + 1];
        arr[i + 1] = arr[high];
        arr[high] = temp;
   
        return i + 1;
    }
   
    /* A[] --> Array to be sorted,
    l --> Starting index,
    h --> Ending index */
    function quickSortIterative(arr, l, h)
    {
        // Create an auxiliary stack
        let stack = new Array(h - l + 1);
        stack.fill(0);
   
        // initialize top of stack
        let top = -1;
   
        // push initial values of l and h to
        // stack
        stack[++top] = l;
        stack[++top] = h;
   
        // Keep popping from stack while
        // is not empty
        while (top >= 0) {
            // Pop h and l
            h = stack[top--];
            l = stack[top--];
   
            // Set pivot element at its
            // correct position in
            // sorted array
            let p = partition(arr, l, h);
   
            // If there are elements on
            // left side of pivot, then
            // push left side to stack
            if (p - 1 > l) {
                stack[++top] = l;
                stack[++top] = p - 1;
            }
   
            // If there are elements on
            // right side of pivot, then
            // push right side to stack
            if (p + 1 < h) {
                stack[++top] = p + 1;
                stack[++top] = h;
            }
        }
    }
      
    
    
  
    
    
  
  
  
// This code is contributed by mukesh07.
  
  
  
  
  
  
  
  
  
  
  
  function swap(ary, a, b) {
      var t = ary[a];
      ary[a] = ary[b];
      ary[b] = t;
  }
  
  // Built-in with comparison function (default sorting is "dictionary-style")
  function builtin_sort(ary) {
      return ary.sort(function(a, b) {
          return a - b;
      });
  }
  
  // Bubble Sort
  function bubble_sort(ary) {
      var a, b;
      for (a = 0; a < ary.length; a++) {
          for (b = a + 1; b < ary.length; b++) {
              if (ary[a] > ary[b]) {
                  swap(ary, a, b);
              }
          }
      }
  
      return ary;
  }
  //Insertion sort
  function insertion_sort(ary) {
		for(var i=1,l=ary.length;i<l;i++) {
			var value = ary[i];
			for(var j=i - 1;j>=0;j--) {
				if(ary[j] <= value)
					break;
				ary[j+1] = ary[j];
			}
			ary[j+1] = value;
		}
		return ary;
  }
  
  // Naive (but understandable) quicksort (memory hog)
  function naive_quicksort(ary) {
      if (ary.length <= 1) {
          return ary;
      }
  
      var less = [],
          greater = [],
          pivot = ary.pop();
  
      for (var i = 0; i < ary.length; i++) {
          if (ary[i] < pivot) {
              less.push(ary[i]);
          } else {
              greater.push(ary[i]);
          }
      }
  
      less = naive_quicksort(less);
      greater = naive_quicksort(greater);
  
      return less.concat(pivot, greater);
  }
  
  // In place quicksort
  function inplace_quicksort_partition(ary, start, end, pivotIndex) {
      var i = start, j = end;
      var pivot = ary[pivotIndex];
      
      while(true) {
          while(ary[i] < pivot) {i++};
          j--;
          while(pivot < ary[j]) {j--};
          if(!(i<j)) {
              return i;
          }
          swap(ary,i,j);
          i++;
     }
  }
  
  function inplace_quicksort(ary, start, end) {
      if (start < end - 1) {
          var pivotIndex = Math.round((start + end) / 2);
  
          pivotIndex = inplace_quicksort_partition(ary, start, end, pivotIndex);
  
          inplace_quicksort(ary, start, pivotIndex - 1);
          inplace_quicksort(ary, pivotIndex + 1, end);
      }
  
      return ary;
  }
  
  // Heap sort
  function heapSort(ary) {
      heapify(ary);
  
      for (var end = ary.length - 1; end > 0; end--) {
          swap(ary, end, 0);
          shiftDown(ary, 0, end - 1);
      }
  
      return ary;
  }
  
  function heapify(ary) {
      for (var start = (ary.length >> 1) - 1; start >= 0; start--) {
          shiftDown(ary, start, ary.length - 1);
      }
  }
  
  function shiftDown(ary, start, end) {
      var root = start,
          child, s;
  
      while (root * 2 + 1 <= end) {
          child = root * 2 + 1;
          s = root;
  
          if (ary[s] < ary[child]) {
              s = child;
          }
  
          if (child + 1 <= end && ary[s] < ary[child + 1]) {
              s = child + 1;
          }
  
          if (s !== root) {
              swap(ary, root, s);
              root = s;
          } else {
              return;
          }
      }
  }
  
  // Merge sort
  function merge_sort(ary) {
      if (ary.length <= 1) {
          return ary;
      }
  
      var m = ary.length >> 1;
  
      var left = ary.slice(0, m),
          right = ary.slice(m);
  
      return merge(merge_sort(left), merge_sort(right));
  }
  
  function merge(left, right) {
      var result = [],
          li = 0, ri = 0;
  
      while (li < left.length || ri < right.length) {
          if (li < left.length && ri < right.length) {
              if (left[li] <= right[ri]) {
                  result.push(left[li]);
                  li++;
              } else {
                  result.push(right[ri]);
                  ri++;
              }
          } else if (li < left.length) {
              result.push(left[li]);
              li++;
          } else if (ri < right.length) {
              result.push(right[ri]);
              ri++;
          }
      }
  
      return result;
  }
  
  // Shell sort
  function shell_sort(ary) {
      var inc = Math.round(ary.length / 2),
          i, j, t;
  
      while (inc > 0) {
          for (i = inc; i < ary.length; i++) {
              t = ary[i];
              j = i;
              while (j >= inc && ary[j - inc] > t) {
                  ary[j] = ary[j - inc];
                  j -= inc;
              }
              ary[j] = t;
          }
          inc = Math.round(inc / 2.2);
      }
  
      return ary;
  }
  //Comb Sort (Basically bubblesort with a small modification, but heaps faster)
function comb_sort(ary) {
    var gap = ary.length;
    while(true) {
        gap = newgap(gap);
        var swapped = false;
        for(var i=0,l=ary.length;i<l;i++) {
            var j = i + gap;
            if(ary[i] < ary[j]) {
                swap(ary,i,j);
                swapped = true;
            }
        }
        if(gap == 1 && !swapped)
             break;
    }
    return ary;   
}
function newgap(gap) {
    gap = ((gap * 10) / 13) | 0;
    if(gap == 9 || gap == 10)
        gap = 11;
    if(gap < 1)
         gap = 1;
    return gap;
}
//faster quicksort using a stack to eliminate recursion, sorting inplace to reduce memory usage, and using insertion sort for small partition sizes
function fast_quicksort(ary) {
    var stack = [];
    var entry = [0,ary.length,2 * Math.floor(Math.log(ary.length)/Math.log(2))];
    stack.push(entry);
    while(stack.length > 0) {
        entry = stack.pop();
        var start = entry[0];
        var end = entry[1];
        var depth = entry[2];
        if(depth == 0) {
         ary = shell_sort_bound(ary,start,end);
         continue;
        }
        depth--;
        var pivot = Math.round((start + end) / 2);
            
        var pivotNewIndex = inplace_quicksort_partition(ary,start,end, pivot);
        if(end - pivotNewIndex > 16) {
            entry = [pivotNewIndex,end,depth];
            stack.push(entry);
        }
        if(pivotNewIndex - start > 16) {
            entry = [start,pivotNewIndex,depth];
            stack.push(entry);
        }
    }
    ary = insertion_sort(ary);
    return ary;
}
function shell_sort_bound(ary,start,end) {
      var inc = Math.round((start + end)/2),
          i, j, t;
  
      while (inc >= start) {
          for (i = inc; i < end; i++) {
              t = ary[i];
              j = i;
              while (j >= inc && ary[j - inc] > t) {
                  ary[j] = ary[j - inc];
                  j -= inc;
              }
              ary[j] = t;
          }
          inc = Math.round(inc / 2.2);
      }
  
      return ary;
  }

function mSort(list) {
				if (list.length < 14) {
					return insertion_sort(list);
				}
				
				var half = Math.floor(list.length / 2);
				var a = mSort(list.slice(0, half));
				var b = mSort(list.slice(half, list.length));
				var aCount = 0;
				var bCount = 0;
				var returnList = [];
				
				while (true) {
					if (a[aCount] <= b[bCount]) {
						returnList.push(a[aCount]);
						aCount++;
						if (aCount === a.length) {
							returnList = returnList.concat(b.slice(bCount, b.length));
							break;
						}
					}
					else {
						returnList.push(b[bCount]);
						bCount++;
						if (bCount === b.length) {
							returnList = returnList.concat(a.slice(aCount, a.length));
							break;
						}
					}
				}
				return returnList;
			}
  
  function bubbleSort(items) {
  var length = items.length;
  for (var i = 0; i < length; i++) { //Number of passes
    for (var j = 0; j < (length - i - 1); j++) { //Notice that j < (length - i)
      //Compare the adjacent positions
      if(items[j] > items[j+1]) {
        //Swap the numbers
        var tmp = items[j];  //Temporary variable to hold the current number
        items[j] = items[j+1]; //Replace current number with adjacent number
        items[j+1] = tmp; //Replace adjacent number with current number
      }
    }        
  }
}
  
  https://stackoverflow.com/a/38979903/8769328
  function radixBucketSort (arr) {
    var idx1, idx2, idx3, len1, len2, radix, radixKey;
    var radices = {}, buckets = {}, num, curr;
    var currLen, radixStr, currBucket;

    len1 = arr.length;
    len2 = 10;  // radix sort uses ten buckets

    // find the relevant radices to process for efficiency        
    for (idx1 = 0;idx1 < len1;idx1++) {
      radices[arr[idx1].toString().length] = 0;
    }

    // loop for each radix. For each radix we put all the items
    // in buckets, and then pull them out of the buckets.
    for (radix in radices) {          
      // put each array item in a bucket based on its radix value
      len1 = arr.length;
      for (idx1 = 0;idx1 < len1;idx1++) {
        curr = arr[idx1];
        // item length is used to find its current radix value
        currLen = curr.toString().length;
        // only put the item in a radix bucket if the item
        // key is as long as the radix
        if (currLen >= radix) {
          // radix starts from beginning of key, so need to
          // adjust to get redix values from start of stringified key
          radixKey = curr.toString()[currLen - radix];
          // create the bucket if it does not already exist
          if (!buckets.hasOwnProperty(radixKey)) {
            buckets[radixKey] = [];
          }
          // put the array value in the bucket
          buckets[radixKey].push(curr);          
        } else {
          if (!buckets.hasOwnProperty('0')) {
            buckets['0'] = [];
          }
          buckets['0'].push(curr);          
        }
      }
      // for current radix, items are in buckets, now put them
      // back in the array based on their buckets
      // this index moves us through the array as we insert items
      idx1 = 0;
      // go through all the buckets
      for (idx2 = 0;idx2 < len2;idx2++) {
        // only process buckets with items
        if (buckets[idx2] != null) {
          currBucket = buckets[idx2];
          // insert all bucket items into array
          len1 = currBucket.length;
          for (idx3 = 0;idx3 < len1;idx3++) {
            arr[idx1++] = currBucket[idx3];
          }
        }
      }
      buckets = {};
    }
  }
</script>

Script Preparation code:

var input = [];
for (var i = 0; i < 1000; i++) {
  input[i] = Math.round(Math.random() * 1000000);
}

Tests:

Built-in Sort
builtin_sort(input.slice(0));
Naive Quicksort
quickSort(input);
Inplace Quicksort
inplace_quicksort(input.slice(0), 0, input.length);
Heap Sort
heapSort(input.slice(0));
Merge Sort
merge_sort(input.slice(0));
Shell Sort
shell_sort(input.slice(0));
Comb Sort
comb_sort(input.slice(0));
Insertion Sort
insertion_sort(input.slice(0));
Fast QuickSort
fast_quicksort(input.slice(0));
mSort
mSort(input.slice(0));
Radix Bucket Sort
radixBucketSort(input.slice(0))
Bubble Sort
bubbleSort(input.slice(0));
Iterative quick sort
quickSortIterative(input.slice(0), 0, input.length-1);

Run results for: Javascript Sorting Algorithms 3

Port from jsperf(https://jsperf.com/sorting-algorithms/58)

Built-in Sort

Naive Quicksort

Inplace Quicksort

Heap Sort

Merge Sort

Shell Sort

Comb Sort

Insertion Sort

Fast QuickSort

mSort

Radix Bucket Sort

Bubble Sort

Iterative quick sort