JavaScript: Array.prototype.sort

By Xah Lee. Date: . Last updated: .
arrayX.sort()
Sort arrayX in-place, return reference to the array. Elements are converted to string for comparison.

arrayX can be a Array-Like Object.

// array sort example
const aa = ["a1", "a70", "a8", "A2"];

// default sort. element compared as string
const bb = aa.sort();

console.log(JSON.stringify(bb) === `["A2","a1","a70","a8"]`);

// the array is modified
console.log(JSON.stringify(aa) === `["A2","a1","a70","a8"]`);

Warning: array sort makes 40 before 9, because elements are compared as string.

// warning: array sort problem. 40 comes before 9

const aa = [9, 40, 2];
console.log(JSON.stringify(aa.sort()) === `[2,40,9]`);
arrayX.sort(f)
f is a ordering function. The function should take 2 arguments x y, and return:
  • negative number if x ≺ y
  • 0 if x = y
  • positive number if x ≻ y.
const aa = [9, 40, 2];

const bb = aa.sort((x, y) => {
  if (x < y) return -1;
  if (x > y) return 1;
  if (x == y) return 0;
});

console.log(JSON.stringify(bb) === `[2,9,40]`);

WARNING: by spec, sort is not necessarily stable. That is, elements that are considered equal in order may be moved from the order they were in the original array.

Custom Order Function

Sorting array using custom order function:

// array sort using custom function

// custom ordering function
const ff = ((x, y) => {
  // x and y are strings. we remove first char. consider rest as number
  const nx = parseInt(x.slice(1));
  const ny = parseInt(y.slice(1));

  if (nx < ny) return -1;
  if (nx > ny) return 1;
  if (nx == ny) return 0;
});

// sort by comparing as numbers after first char

console.log(
  ["a1", "a70", "a8", "A2"].sort(ff),
);
// [ 'a1', 'A2', 'a8', 'a70' ]

Default Order Function

If order function is not undefined, the default will convert each element to a string if necessary by calling toString() method, then compare by their codepoint units. (note: not characters unicode codepoint)

[see JavaScript: String Code Unit]

Here is example showing it sorts by code unit and not codepoint.

// example showing default comparison function for string, sorts by code unit and not codepoint.

console.log(["﷽", "😆"].sort());
// prints
// [ '😆', '﷽' ]

// 😆 (codepoint 128518, U+1f606)
// utf-16 encoding: #xFE #xFF #xD8 #x3D #xDE #x06

// ﷽ (codepoint 65021, U+fdfd)
// utf-16 encoding: #xFE #xFF #xFD #xFD

Order Function Must be Consistent

Note: the custom order function must be consistent, else the result of sort is implementation dependent.

Consistent means, for any x y z in the array:

  1. f(x,x) === 0
  2. if f(x,y) === 0 and f(y,z) === 0 then f(x,z) === 0
  3. if f(x,y) === -1 and f(y,z) === -1 then f(x,z) === -1
  4. if f(x,y) === 1 and f(y,z) === 1 then f(x,z) === 1

The above guarantee that the set is partitioned into classes by a equivalence relation, and the equivalence classes are total ordered.

also, the following are required due to how JavaScript the language works:

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