You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
115 lines
3.5 KiB
115 lines
3.5 KiB
/* -*- Mode: js; js-indent-level: 2; -*- */
|
|
/*
|
|
* Copyright 2011 Mozilla Foundation and contributors
|
|
* Licensed under the New BSD license. See LICENSE or:
|
|
* http://opensource.org/licenses/BSD-3-Clause
|
|
*/
|
|
|
|
// It turns out that some (most?) JavaScript engines don't self-host
|
|
// `Array.prototype.sort`. This makes sense because C++ will likely remain
|
|
// faster than JS when doing raw CPU-intensive sorting. However, when using a
|
|
// custom comparator function, calling back and forth between the VM's C++ and
|
|
// JIT'd JS is rather slow *and* loses JIT type information, resulting in
|
|
// worse generated code for the comparator function than would be optimal. In
|
|
// fact, when sorting with a comparator, these costs outweigh the benefits of
|
|
// sorting in C++. By using our own JS-implemented Quick Sort (below), we get
|
|
// a ~3500ms mean speed-up in `bench/bench.html`.
|
|
|
|
/**
|
|
* Swap the elements indexed by `x` and `y` in the array `ary`.
|
|
*
|
|
* @param {Array} ary
|
|
* The array.
|
|
* @param {Number} x
|
|
* The index of the first item.
|
|
* @param {Number} y
|
|
* The index of the second item.
|
|
*/
|
|
function swap(ary, x, y) {
|
|
var temp = ary[x];
|
|
ary[x] = ary[y];
|
|
ary[y] = temp;
|
|
}
|
|
|
|
/**
|
|
* Returns a random integer within the range `low .. high` inclusive.
|
|
*
|
|
* @param {Number} low
|
|
* The lower bound on the range.
|
|
* @param {Number} high
|
|
* The upper bound on the range.
|
|
*/
|
|
function randomIntInRange(low, high) {
|
|
return Math.round(low + (Math.random() * (high - low)));
|
|
}
|
|
|
|
/**
|
|
* The Quick Sort algorithm.
|
|
*
|
|
* @param {Array} ary
|
|
* An array to sort.
|
|
* @param {function} comparator
|
|
* Function to use to compare two items.
|
|
* @param {Number} p
|
|
* Start index of the array
|
|
* @param {Number} r
|
|
* End index of the array
|
|
*/
|
|
function doQuickSort(ary, comparator, p, r) {
|
|
// If our lower bound is less than our upper bound, we (1) partition the
|
|
// array into two pieces and (2) recurse on each half. If it is not, this is
|
|
// the empty array and our base case.
|
|
|
|
if (p < r) {
|
|
// (1) Partitioning.
|
|
//
|
|
// The partitioning chooses a pivot between `p` and `r` and moves all
|
|
// elements that are less than or equal to the pivot to the before it, and
|
|
// all the elements that are greater than it after it. The effect is that
|
|
// once partition is done, the pivot is in the exact place it will be when
|
|
// the array is put in sorted order, and it will not need to be moved
|
|
// again. This runs in O(n) time.
|
|
|
|
// Always choose a random pivot so that an input array which is reverse
|
|
// sorted does not cause O(n^2) running time.
|
|
var pivotIndex = randomIntInRange(p, r);
|
|
var i = p - 1;
|
|
|
|
swap(ary, pivotIndex, r);
|
|
var pivot = ary[r];
|
|
|
|
// Immediately after `j` is incremented in this loop, the following hold
|
|
// true:
|
|
//
|
|
// * Every element in `ary[p .. i]` is less than or equal to the pivot.
|
|
//
|
|
// * Every element in `ary[i+1 .. j-1]` is greater than the pivot.
|
|
for (var j = p; j < r; j++) {
|
|
if (comparator(ary[j], pivot) <= 0) {
|
|
i += 1;
|
|
swap(ary, i, j);
|
|
}
|
|
}
|
|
|
|
swap(ary, i + 1, j);
|
|
var q = i + 1;
|
|
|
|
// (2) Recurse on each half.
|
|
|
|
doQuickSort(ary, comparator, p, q - 1);
|
|
doQuickSort(ary, comparator, q + 1, r);
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Sort the given array in-place with the given comparator function.
|
|
*
|
|
* @param {Array} ary
|
|
* An array to sort.
|
|
* @param {function} comparator
|
|
* Function to use to compare two items.
|
|
*/
|
|
exports.quickSort = function (ary, comparator) {
|
|
doQuickSort(ary, comparator, 0, ary.length - 1);
|
|
};
|