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| 1 | +// 思路: |
| 2 | +// 将数组中的数据,按桶进行划分,将相邻的数据划分在同一个桶中 |
| 3 | +// 每个桶用插入排序算法(或者快速排序)进行排序 |
| 4 | +// 最后整合每个桶中的数据 |
| 5 | + |
| 6 | +function bucketSort(array, bucketSize = 5) { |
| 7 | + if (array.length < 2) { |
| 8 | + return array |
| 9 | + } |
| 10 | + const buckets = createBuckets(array, bucketSize) |
| 11 | + return sortBuckets(buckets) |
| 12 | +} |
| 13 | + |
| 14 | +function createBuckets(array, bucketSize) { |
| 15 | + let minValue = array[0] |
| 16 | + let maxValue = array[0] |
| 17 | + // 遍历数组,找到数组最小值与数组最大值 |
| 18 | + for (let i = 1; i < array.length; i++) { |
| 19 | + if (array[i] < minValue) { |
| 20 | + minValue = array[i] |
| 21 | + } else if (array[i] > maxValue) { |
| 22 | + maxValue = array[i] |
| 23 | + } |
| 24 | + } |
| 25 | + // 根据最小值、最大值、桶的大小,计算得到桶的个数 |
| 26 | + const bucketCount = Math.floor((maxValue - minValue) / bucketSize) + 1 |
| 27 | + // 建立一个二维数组,将桶放入buckets中 |
| 28 | + const buckets = [] |
| 29 | + for (let i = 0; i < bucketCount; i++) { |
| 30 | + buckets[i] = [] |
| 31 | + } |
| 32 | + // 计算每一个值应该放在哪一个桶中 |
| 33 | + for (let i = 0; i < array.length; i++) { |
| 34 | + const bucketIndex = Math.floor((array[i] - minValue) / bucketSize) |
| 35 | + buckets[bucketIndex].push(array[i]) |
| 36 | + } |
| 37 | + return buckets |
| 38 | +} |
| 39 | + |
| 40 | +function sortBuckets(buckets) { |
| 41 | + const sortedArray = [] |
| 42 | + for (let i = 0; i < buckets.length; i++) { |
| 43 | + if (buckets[i] != null) { |
| 44 | + insertionSort(buckets[i]) |
| 45 | + sortedArray.push(...buckets[i]) |
| 46 | + } |
| 47 | + } |
| 48 | + return sortedArray |
| 49 | +} |
| 50 | + |
| 51 | +// 插入排序 |
| 52 | +function insertionSort(array) { |
| 53 | + const { length } = array |
| 54 | + if (length <= 1) return |
| 55 | + |
| 56 | + for (let i = 1; i < length; i++) { |
| 57 | + let value = array[i] |
| 58 | + let j = i - 1 |
| 59 | + |
| 60 | + while (j >= 0) { |
| 61 | + if (array[j] > value) { |
| 62 | + array[j + 1] = array[j] // 移动 |
| 63 | + j-- |
| 64 | + } else { |
| 65 | + break |
| 66 | + } |
| 67 | + } |
| 68 | + array[j + 1] = value // 插入数据 |
| 69 | + } |
| 70 | +} |
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