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import {ascendingDefined, compareDefined} from "./sort.js"; | |
// Based on https://github.com/mourner/quickselect | |
// ISC license, Copyright 2018 Vladimir Agafonkin. | |
export default function quickselect(array, k, left = 0, right = Infinity, compare) { | |
k = Math.floor(k); | |
left = Math.floor(Math.max(0, left)); | |
right = Math.floor(Math.min(array.length - 1, right)); | |
if (!(left <= k && k <= right)) return array; | |
compare = compare === undefined ? ascendingDefined : compareDefined(compare); | |
while (right > left) { | |
if (right - left > 600) { | |
const n = right - left + 1; | |
const m = k - left + 1; | |
const z = Math.log(n); | |
const s = 0.5 * Math.exp(2 * z / 3); | |
const sd = 0.5 * Math.sqrt(z * s * (n - s) / n) * (m - n / 2 < 0 ? -1 : 1); | |
const newLeft = Math.max(left, Math.floor(k - m * s / n + sd)); | |
const newRight = Math.min(right, Math.floor(k + (n - m) * s / n + sd)); | |
quickselect(array, k, newLeft, newRight, compare); | |
} | |
const t = array[k]; | |
let i = left; | |
let j = right; | |
swap(array, left, k); | |
if (compare(array[right], t) > 0) swap(array, left, right); | |
while (i < j) { | |
swap(array, i, j), ++i, --j; | |
while (compare(array[i], t) < 0) ++i; | |
while (compare(array[j], t) > 0) --j; | |
} | |
if (compare(array[left], t) === 0) swap(array, left, j); | |
else ++j, swap(array, j, right); | |
if (j <= k) left = j + 1; | |
if (k <= j) right = j - 1; | |
} | |
return array; | |
} | |
function swap(array, i, j) { | |
const t = array[i]; | |
array[i] = array[j]; | |
array[j] = t; | |
} | |