diff --git a/Sorts/TimSort.js b/Sorts/TimSort.js new file mode 100644 index 000000000..04c209f0f --- /dev/null +++ b/Sorts/TimSort.js @@ -0,0 +1,110 @@ +/** + * @function Timsort is a hybrid stable sorting algorithm, derived from merge sort and insertion sort, + * designed to perform well on many kinds of real-world data. + * It was implemented by Tim Peters in 2002 for use in the Python programming language. + * It is also used to sort arrays of non-primitive type in Java SE 7, + * on the Android platform, in GNU Octave, on V8, Swift and Rust. + * 1) It sorts small partitions using Insertion Sort. + * 2) Merges the partition using Merge Sort. + * @see [Timsort](https://en.wikipedia.org/wiki/Timsort) + * @param {Array} array + */ + +const Timsort = (array) => { + // Default size of a partition + const RUN = 32 + const n = array.length + // Sorting the partitions using Insertion Sort + for (let i = 0; i < n; i += RUN) { + InsertionSort(array, i, Math.min(i + RUN - 1, n - 1)) + } + for (let size = RUN; size < n; size *= 2) { + for (let left = 0; left < n; left += 2 * size) { + const mid = left + size - 1 + const right = Math.min(left + 2 * size - 1, n - 1) + Merge(array, left, mid, right) + } + } +} + +/** + * @function performs insertion sort on the partition + * @param {Array} array array to be sorted + * @param {Number} left left index of partiton + * @param {Number} right right index of partition + */ + +const InsertionSort = (array, left, right) => { + for (let i = left + 1; i <= right; i++) { + const key = array[i] + let j = i - 1 + while (j >= left && array[j] > key) { + array[j + 1] = array[j] + j-- + } + array[j + 1] = key + } +} + +/** + * @function merges two sorted partitions + * @param {Array} array array to be sorted + * @param {Number} left left index of partition + * @param {Number} mid mid index of partition + * @param {Number} right right index of partition + */ + +const Merge = (array, left, mid, right) => { + if (mid >= right) return + const len1 = mid - left + 1 + const len2 = right - mid + const larr = Array(len1) + const rarr = Array(len2) + for (let i = 0; i < len1; i++) { + larr[i] = array[left + i] + } + for (let i = 0; i < len2; i++) { + rarr[i] = array[mid + 1 + i] + } + let i = 0; let j = 0; let k = left + while (i < larr.length && j < rarr.length) { + if (larr[i] < rarr[j]) { + array[k++] = larr[i++] + } else { + array[k++] = rarr[j++] + } + } + while (i < larr.length) { + array[k++] = larr[i++] + } + while (j < rarr.length) { + array[k++] = rarr[j++] + } +} + +/** + * @example Test of Timsort functions. + * Data is randomly generated. + * Prints "RIGHT" if it works as expected, + * otherwise "FAULTY" + */ +(() => { + const size = 1000000 + const data = Array(size) + for (let i = 0; i < size; i++) { + data[i] = Math.random() * Number.MAX_SAFE_INTEGER + } + const isSorted = function (array) { + const n = array.length + for (let i = 0; i < n - 1; i++) { + if (array[i] > array[i + 1]) return false + } + return true + } + Timsort(data) + if (isSorted(data)) { + console.log('RIGHT') + } else { + console.log('FAULTY') + } +})()