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