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- /****
- * The MIT License
- *
- * Copyright (c) 2015 Marco Ziccardi
- *
- * Permission is hereby granted, free of charge, to any person obtaining a copy
- * of this software and associated documentation files (the "Software"), to deal
- * in the Software without restriction, including without limitation the rights
- * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
- * copies of the Software, and to permit persons to whom the Software is
- * furnished to do so, subject to the following conditions:
- *
- * The above copyright notice and this permission notice shall be included in
- * all copies or substantial portions of the Software.
- *
- * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
- * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
- * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
- * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
- * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
- * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
- * THE SOFTWARE.
- *
- ****/
- (function (global, factory) {
- if (typeof define === 'function' && define.amd) {
- define('timsort', ['exports'], factory);
- } else if (typeof exports !== 'undefined') {
- factory(exports);
- } else {
- var mod = {
- exports: {}
- };
- factory(mod.exports);
- global.timsort = mod.exports;
- }
- })(this, function (exports) {
- 'use strict';
- exports.__esModule = true;
- exports.sort = sort;
- function _classCallCheck(instance, Constructor) {
- if (!(instance instanceof Constructor)) {
- throw new TypeError('Cannot call a class as a function');
- }
- }
- var DEFAULT_MIN_MERGE = 32;
- var DEFAULT_MIN_GALLOPING = 7;
- var DEFAULT_TMP_STORAGE_LENGTH = 256;
- var POWERS_OF_TEN = [1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9];
- function log10(x) {
- if (x < 1e5) {
- if (x < 1e2) {
- return x < 1e1 ? 0 : 1;
- }
- if (x < 1e4) {
- return x < 1e3 ? 2 : 3;
- }
- return 4;
- }
- if (x < 1e7) {
- return x < 1e6 ? 5 : 6;
- }
- if (x < 1e9) {
- return x < 1e8 ? 7 : 8;
- }
- return 9;
- }
- function alphabeticalCompare(a, b) {
- if (a === b) {
- return 0;
- }
- if (~ ~a === a && ~ ~b === b) {
- if (a === 0 || b === 0) {
- return a < b ? -1 : 1;
- }
- if (a < 0 || b < 0) {
- if (b >= 0) {
- return -1;
- }
- if (a >= 0) {
- return 1;
- }
- a = -a;
- b = -b;
- }
- var al = log10(a);
- var bl = log10(b);
- var t = 0;
- if (al < bl) {
- a *= POWERS_OF_TEN[bl - al - 1];
- b /= 10;
- t = -1;
- } else if (al > bl) {
- b *= POWERS_OF_TEN[al - bl - 1];
- a /= 10;
- t = 1;
- }
- if (a === b) {
- return t;
- }
- return a < b ? -1 : 1;
- }
- var aStr = String(a);
- var bStr = String(b);
- if (aStr === bStr) {
- return 0;
- }
- return aStr < bStr ? -1 : 1;
- }
- function minRunLength(n) {
- var r = 0;
- while (n >= DEFAULT_MIN_MERGE) {
- r |= n & 1;
- n >>= 1;
- }
- return n + r;
- }
- function makeAscendingRun(array, lo, hi, compare) {
- var runHi = lo + 1;
- if (runHi === hi) {
- return 1;
- }
- if (compare(array[runHi++], array[lo]) < 0) {
- while (runHi < hi && compare(array[runHi], array[runHi - 1]) < 0) {
- runHi++;
- }
- reverseRun(array, lo, runHi);
- } else {
- while (runHi < hi && compare(array[runHi], array[runHi - 1]) >= 0) {
- runHi++;
- }
- }
- return runHi - lo;
- }
- function reverseRun(array, lo, hi) {
- hi--;
- while (lo < hi) {
- var t = array[lo];
- array[lo++] = array[hi];
- array[hi--] = t;
- }
- }
- function binaryInsertionSort(array, lo, hi, start, compare) {
- if (start === lo) {
- start++;
- }
- for (; start < hi; start++) {
- var pivot = array[start];
- var left = lo;
- var right = start;
- while (left < right) {
- var mid = left + right >>> 1;
- if (compare(pivot, array[mid]) < 0) {
- right = mid;
- } else {
- left = mid + 1;
- }
- }
- var n = start - left;
- switch (n) {
- case 3:
- array[left + 3] = array[left + 2];
- case 2:
- array[left + 2] = array[left + 1];
- case 1:
- array[left + 1] = array[left];
- break;
- default:
- while (n > 0) {
- array[left + n] = array[left + n - 1];
- n--;
- }
- }
- array[left] = pivot;
- }
- }
- function gallopLeft(value, array, start, length, hint, compare) {
- var lastOffset = 0;
- var maxOffset = 0;
- var offset = 1;
- if (compare(value, array[start + hint]) > 0) {
- maxOffset = length - hint;
- while (offset < maxOffset && compare(value, array[start + hint + offset]) > 0) {
- lastOffset = offset;
- offset = (offset << 1) + 1;
- if (offset <= 0) {
- offset = maxOffset;
- }
- }
- if (offset > maxOffset) {
- offset = maxOffset;
- }
- lastOffset += hint;
- offset += hint;
- } else {
- maxOffset = hint + 1;
- while (offset < maxOffset && compare(value, array[start + hint - offset]) <= 0) {
- lastOffset = offset;
- offset = (offset << 1) + 1;
- if (offset <= 0) {
- offset = maxOffset;
- }
- }
- if (offset > maxOffset) {
- offset = maxOffset;
- }
- var tmp = lastOffset;
- lastOffset = hint - offset;
- offset = hint - tmp;
- }
- lastOffset++;
- while (lastOffset < offset) {
- var m = lastOffset + (offset - lastOffset >>> 1);
- if (compare(value, array[start + m]) > 0) {
- lastOffset = m + 1;
- } else {
- offset = m;
- }
- }
- return offset;
- }
- function gallopRight(value, array, start, length, hint, compare) {
- var lastOffset = 0;
- var maxOffset = 0;
- var offset = 1;
- if (compare(value, array[start + hint]) < 0) {
- maxOffset = hint + 1;
- while (offset < maxOffset && compare(value, array[start + hint - offset]) < 0) {
- lastOffset = offset;
- offset = (offset << 1) + 1;
- if (offset <= 0) {
- offset = maxOffset;
- }
- }
- if (offset > maxOffset) {
- offset = maxOffset;
- }
- var tmp = lastOffset;
- lastOffset = hint - offset;
- offset = hint - tmp;
- } else {
- maxOffset = length - hint;
- while (offset < maxOffset && compare(value, array[start + hint + offset]) >= 0) {
- lastOffset = offset;
- offset = (offset << 1) + 1;
- if (offset <= 0) {
- offset = maxOffset;
- }
- }
- if (offset > maxOffset) {
- offset = maxOffset;
- }
- lastOffset += hint;
- offset += hint;
- }
- lastOffset++;
- while (lastOffset < offset) {
- var m = lastOffset + (offset - lastOffset >>> 1);
- if (compare(value, array[start + m]) < 0) {
- offset = m;
- } else {
- lastOffset = m + 1;
- }
- }
- return offset;
- }
- var TimSort = (function () {
- function TimSort(array, compare) {
- _classCallCheck(this, TimSort);
- this.array = null;
- this.compare = null;
- this.minGallop = DEFAULT_MIN_GALLOPING;
- this.length = 0;
- this.tmpStorageLength = DEFAULT_TMP_STORAGE_LENGTH;
- this.stackLength = 0;
- this.runStart = null;
- this.runLength = null;
- this.stackSize = 0;
- this.array = array;
- this.compare = compare;
- this.length = array.length;
- if (this.length < 2 * DEFAULT_TMP_STORAGE_LENGTH) {
- this.tmpStorageLength = this.length >>> 1;
- }
- this.tmp = new Array(this.tmpStorageLength);
- this.stackLength = this.length < 120 ? 5 : this.length < 1542 ? 10 : this.length < 119151 ? 19 : 40;
- this.runStart = new Array(this.stackLength);
- this.runLength = new Array(this.stackLength);
- }
- TimSort.prototype.pushRun = function pushRun(runStart, runLength) {
- this.runStart[this.stackSize] = runStart;
- this.runLength[this.stackSize] = runLength;
- this.stackSize += 1;
- };
- TimSort.prototype.mergeRuns = function mergeRuns() {
- while (this.stackSize > 1) {
- var n = this.stackSize - 2;
- if (n >= 1 && this.runLength[n - 1] <= this.runLength[n] + this.runLength[n + 1] || n >= 2 && this.runLength[n - 2] <= this.runLength[n] + this.runLength[n - 1]) {
- if (this.runLength[n - 1] < this.runLength[n + 1]) {
- n--;
- }
- } else if (this.runLength[n] > this.runLength[n + 1]) {
- break;
- }
- this.mergeAt(n);
- }
- };
- TimSort.prototype.forceMergeRuns = function forceMergeRuns() {
- while (this.stackSize > 1) {
- var n = this.stackSize - 2;
- if (n > 0 && this.runLength[n - 1] < this.runLength[n + 1]) {
- n--;
- }
- this.mergeAt(n);
- }
- };
- TimSort.prototype.mergeAt = function mergeAt(i) {
- var compare = this.compare;
- var array = this.array;
- var start1 = this.runStart[i];
- var length1 = this.runLength[i];
- var start2 = this.runStart[i + 1];
- var length2 = this.runLength[i + 1];
- this.runLength[i] = length1 + length2;
- if (i === this.stackSize - 3) {
- this.runStart[i + 1] = this.runStart[i + 2];
- this.runLength[i + 1] = this.runLength[i + 2];
- }
- this.stackSize--;
- var k = gallopRight(array[start2], array, start1, length1, 0, compare);
- start1 += k;
- length1 -= k;
- if (length1 === 0) {
- return;
- }
- length2 = gallopLeft(array[start1 + length1 - 1], array, start2, length2, length2 - 1, compare);
- if (length2 === 0) {
- return;
- }
- if (length1 <= length2) {
- this.mergeLow(start1, length1, start2, length2);
- } else {
- this.mergeHigh(start1, length1, start2, length2);
- }
- };
- TimSort.prototype.mergeLow = function mergeLow(start1, length1, start2, length2) {
- var compare = this.compare;
- var array = this.array;
- var tmp = this.tmp;
- var i = 0;
- for (i = 0; i < length1; i++) {
- tmp[i] = array[start1 + i];
- }
- var cursor1 = 0;
- var cursor2 = start2;
- var dest = start1;
- array[dest++] = array[cursor2++];
- if (--length2 === 0) {
- for (i = 0; i < length1; i++) {
- array[dest + i] = tmp[cursor1 + i];
- }
- return;
- }
- if (length1 === 1) {
- for (i = 0; i < length2; i++) {
- array[dest + i] = array[cursor2 + i];
- }
- array[dest + length2] = tmp[cursor1];
- return;
- }
- var minGallop = this.minGallop;
- while (true) {
- var count1 = 0;
- var count2 = 0;
- var exit = false;
- do {
- if (compare(array[cursor2], tmp[cursor1]) < 0) {
- array[dest++] = array[cursor2++];
- count2++;
- count1 = 0;
- if (--length2 === 0) {
- exit = true;
- break;
- }
- } else {
- array[dest++] = tmp[cursor1++];
- count1++;
- count2 = 0;
- if (--length1 === 1) {
- exit = true;
- break;
- }
- }
- } while ((count1 | count2) < minGallop);
- if (exit) {
- break;
- }
- do {
- count1 = gallopRight(array[cursor2], tmp, cursor1, length1, 0, compare);
- if (count1 !== 0) {
- for (i = 0; i < count1; i++) {
- array[dest + i] = tmp[cursor1 + i];
- }
- dest += count1;
- cursor1 += count1;
- length1 -= count1;
- if (length1 <= 1) {
- exit = true;
- break;
- }
- }
- array[dest++] = array[cursor2++];
- if (--length2 === 0) {
- exit = true;
- break;
- }
- count2 = gallopLeft(tmp[cursor1], array, cursor2, length2, 0, compare);
- if (count2 !== 0) {
- for (i = 0; i < count2; i++) {
- array[dest + i] = array[cursor2 + i];
- }
- dest += count2;
- cursor2 += count2;
- length2 -= count2;
- if (length2 === 0) {
- exit = true;
- break;
- }
- }
- array[dest++] = tmp[cursor1++];
- if (--length1 === 1) {
- exit = true;
- break;
- }
- minGallop--;
- } while (count1 >= DEFAULT_MIN_GALLOPING || count2 >= DEFAULT_MIN_GALLOPING);
- if (exit) {
- break;
- }
- if (minGallop < 0) {
- minGallop = 0;
- }
- minGallop += 2;
- }
- this.minGallop = minGallop;
- if (minGallop < 1) {
- this.minGallop = 1;
- }
- if (length1 === 1) {
- for (i = 0; i < length2; i++) {
- array[dest + i] = array[cursor2 + i];
- }
- array[dest + length2] = tmp[cursor1];
- } else if (length1 === 0) {
- throw new Error('mergeLow preconditions were not respected');
- } else {
- for (i = 0; i < length1; i++) {
- array[dest + i] = tmp[cursor1 + i];
- }
- }
- };
- TimSort.prototype.mergeHigh = function mergeHigh(start1, length1, start2, length2) {
- var compare = this.compare;
- var array = this.array;
- var tmp = this.tmp;
- var i = 0;
- for (i = 0; i < length2; i++) {
- tmp[i] = array[start2 + i];
- }
- var cursor1 = start1 + length1 - 1;
- var cursor2 = length2 - 1;
- var dest = start2 + length2 - 1;
- var customCursor = 0;
- var customDest = 0;
- array[dest--] = array[cursor1--];
- if (--length1 === 0) {
- customCursor = dest - (length2 - 1);
- for (i = 0; i < length2; i++) {
- array[customCursor + i] = tmp[i];
- }
- return;
- }
- if (length2 === 1) {
- dest -= length1;
- cursor1 -= length1;
- customDest = dest + 1;
- customCursor = cursor1 + 1;
- for (i = length1 - 1; i >= 0; i--) {
- array[customDest + i] = array[customCursor + i];
- }
- array[dest] = tmp[cursor2];
- return;
- }
- var minGallop = this.minGallop;
- while (true) {
- var count1 = 0;
- var count2 = 0;
- var exit = false;
- do {
- if (compare(tmp[cursor2], array[cursor1]) < 0) {
- array[dest--] = array[cursor1--];
- count1++;
- count2 = 0;
- if (--length1 === 0) {
- exit = true;
- break;
- }
- } else {
- array[dest--] = tmp[cursor2--];
- count2++;
- count1 = 0;
- if (--length2 === 1) {
- exit = true;
- break;
- }
- }
- } while ((count1 | count2) < minGallop);
- if (exit) {
- break;
- }
- do {
- count1 = length1 - gallopRight(tmp[cursor2], array, start1, length1, length1 - 1, compare);
- if (count1 !== 0) {
- dest -= count1;
- cursor1 -= count1;
- length1 -= count1;
- customDest = dest + 1;
- customCursor = cursor1 + 1;
- for (i = count1 - 1; i >= 0; i--) {
- array[customDest + i] = array[customCursor + i];
- }
- if (length1 === 0) {
- exit = true;
- break;
- }
- }
- array[dest--] = tmp[cursor2--];
- if (--length2 === 1) {
- exit = true;
- break;
- }
- count2 = length2 - gallopLeft(array[cursor1], tmp, 0, length2, length2 - 1, compare);
- if (count2 !== 0) {
- dest -= count2;
- cursor2 -= count2;
- length2 -= count2;
- customDest = dest + 1;
- customCursor = cursor2 + 1;
- for (i = 0; i < count2; i++) {
- array[customDest + i] = tmp[customCursor + i];
- }
- if (length2 <= 1) {
- exit = true;
- break;
- }
- }
- array[dest--] = array[cursor1--];
- if (--length1 === 0) {
- exit = true;
- break;
- }
- minGallop--;
- } while (count1 >= DEFAULT_MIN_GALLOPING || count2 >= DEFAULT_MIN_GALLOPING);
- if (exit) {
- break;
- }
- if (minGallop < 0) {
- minGallop = 0;
- }
- minGallop += 2;
- }
- this.minGallop = minGallop;
- if (minGallop < 1) {
- this.minGallop = 1;
- }
- if (length2 === 1) {
- dest -= length1;
- cursor1 -= length1;
- customDest = dest + 1;
- customCursor = cursor1 + 1;
- for (i = length1 - 1; i >= 0; i--) {
- array[customDest + i] = array[customCursor + i];
- }
- array[dest] = tmp[cursor2];
- } else if (length2 === 0) {
- throw new Error('mergeHigh preconditions were not respected');
- } else {
- customCursor = dest - (length2 - 1);
- for (i = 0; i < length2; i++) {
- array[customCursor + i] = tmp[i];
- }
- }
- };
- return TimSort;
- })();
- function sort(array, compare, lo, hi) {
- if (!Array.isArray(array)) {
- throw new TypeError('Can only sort arrays');
- }
- if (!compare) {
- compare = alphabeticalCompare;
- } else if (typeof compare !== 'function') {
- hi = lo;
- lo = compare;
- compare = alphabeticalCompare;
- }
- if (!lo) {
- lo = 0;
- }
- if (!hi) {
- hi = array.length;
- }
- var remaining = hi - lo;
- if (remaining < 2) {
- return;
- }
- var runLength = 0;
- if (remaining < DEFAULT_MIN_MERGE) {
- runLength = makeAscendingRun(array, lo, hi, compare);
- binaryInsertionSort(array, lo, hi, lo + runLength, compare);
- return;
- }
- var ts = new TimSort(array, compare);
- var minRun = minRunLength(remaining);
- do {
- runLength = makeAscendingRun(array, lo, hi, compare);
- if (runLength < minRun) {
- var force = remaining;
- if (force > minRun) {
- force = minRun;
- }
- binaryInsertionSort(array, lo, lo + force, lo + runLength, compare);
- runLength = force;
- }
- ts.pushRun(lo, runLength);
- ts.mergeRuns();
- remaining -= runLength;
- lo += runLength;
- } while (remaining !== 0);
- ts.forceMergeRuns();
- }
- });
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