blob: 0895f9a33e58395951d83e83b0af6273a8bc75fd [file] [log] [blame]
/****
* 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();
}
});