/** * Copyright (c) 2017 mol* contributors, licensed under MIT, See LICENSE file for more info. * * @author David Sehnal */ export type Comparer = (data: T, i: number, j: number) => number export type Swapper = (data: T, i: number, j: number) => void type Ctx = { cmp: Comparer, swap: Swapper, parts: number[], data: any } export function arrayLess(arr: ArrayLike, i: number, j: number) { return arr[i] - arr[j]; } export function arraySwap(arr: ArrayLike, i: number, j: number) { const temp = arr[i]; (arr as any[])[i] = arr[j]; (arr as any[])[j] = temp; } function medianPivotIndex(data: any, cmp: Comparer, l: number, r: number) { const m = (l + r) >> 1; if (cmp(data, l, r) > 0) return cmp(data, l, m) > 0 ? cmp(data, m, r) > 0 ? m : r : l; else return cmp(data, r, m) > 0 ? cmp(data, m, l) > 0 ? m : l : r; } function partition(ctx: Ctx, l: number, r: number) { const { cmp, swap, data, parts } = ctx; let equals = l + 1, tail = r; // move the median to the 1st spot swap(data, l, medianPivotIndex(data, cmp, l, r)); while (cmp(data, tail, l) > 0) { --tail; } for (let i = l + 1; i <= tail; i++) { const c = cmp(data, i, l); if (c > 0) { swap(data, i, tail); --tail; while (cmp(data, tail, l) > 0) { --tail; } i--; } else if (c === 0) { swap(data, i, equals); equals++; } } // move the medians to the correct spots for (let i = l; i < equals; i++) { swap(data, i, l + tail - i); } parts[0] = tail - equals + l + 1; parts[1] = tail; } function insertionSort({ data, cmp, swap }: Ctx, start: number, end: number) { for (let i = start + 1; i <= end; i++) { let j = i - 1; while (j >= start && cmp(data, j, j + 1) > 0) { swap(data, j, j + 1); j = j - 1; } } } function quickSort(ctx: Ctx, low: number, high: number) { const { parts } = ctx; while (low < high) { if (high - low < 16) { insertionSort(ctx, low, high); return; } partition(ctx, low, high); const li = parts[0], ri = parts[1]; if (li - low < high - ri) { quickSort(ctx, low, li - 1); low = ri + 1; } else { quickSort(ctx, ri + 1, high); high = li - 1; } } } function partitionArrayAsc(data: number[], parts: number[], l: number, r: number) { let equals = l + 1, tail = r; // move the median to the 1st spot arraySwap(data, l, medianPivotIndex(data, arrayLess, l, r)); const pivot = data[l]; while (data[tail] > pivot) { --tail; } for (let i = l + 1; i <= tail; i++) { const v = data[i]; if (v > pivot) { arraySwap(data, i, tail); --tail; while (data[tail] > pivot) { --tail; } i--; } else if (v === pivot) { arraySwap(data, i, equals); ++equals; } } // move all medians to the correct spots for (let i = l; i < equals; i++) { arraySwap(data, i, l + tail - i); } parts[0] = tail - equals + l + 1; parts[1] = tail; } function insertionSortArrayAsc(data: number[], start: number, end: number) { for (let i = start + 1; i <= end; i++) { const key = data[i]; let j = i - 1; while (j >= start && data[j] > key) { data[j + 1] = data[j]; j = j - 1; } data[j + 1] = key; } } function quickSortArrayAsc(data: number[], parts: number[], low: number, high: number) { while (low < high) { if (high - low < 16) { insertionSortArrayAsc(data, low, high); return; } partitionArrayAsc(data, parts, low, high); const li = parts[0], ri = parts[1]; if (li - low < high - ri) { quickSortArrayAsc(data, parts, low, li - 1); low = ri + 1; } else { quickSortArrayAsc(data, parts, ri + 1, high); high = li - 1; } } } export function sortArray(data: ArrayLike, cmp: Comparer> = arrayLess): ArrayLike { return sortArrayRange(data, 0, data.length, cmp); } export function sortArrayRange(data: ArrayLike, start: number, end: number, cmp: Comparer> = arrayLess): ArrayLike { if (cmp === arrayLess) quickSortArrayAsc(data as any, [0, 0], start, end - 1); else quickSort({ data, cmp, swap: arraySwap, parts: [0, 0] }, start, end - 1); return data; } export function sort(data: T, start: number, end: number, cmp: Comparer, swap: Swapper): T { const ctx: Ctx = { data, cmp, swap, parts: [0, 0] }; quickSort(ctx, start, end - 1); return data; }