mirror of
https://github.com/thangisme/notes.git
synced 2024-11-01 02:27:20 -04:00
112 lines
4.1 KiB
JavaScript
112 lines
4.1 KiB
JavaScript
|
/* -*- Mode: js; js-indent-level: 2; -*- */
|
||
|
/*
|
||
|
* Copyright 2011 Mozilla Foundation and contributors
|
||
|
* Licensed under the New BSD license. See LICENSE or:
|
||
|
* http://opensource.org/licenses/BSD-3-Clause
|
||
|
*/
|
||
|
|
||
|
exports.GREATEST_LOWER_BOUND = 1;
|
||
|
exports.LEAST_UPPER_BOUND = 2;
|
||
|
|
||
|
/**
|
||
|
* Recursive implementation of binary search.
|
||
|
*
|
||
|
* @param aLow Indices here and lower do not contain the needle.
|
||
|
* @param aHigh Indices here and higher do not contain the needle.
|
||
|
* @param aNeedle The element being searched for.
|
||
|
* @param aHaystack The non-empty array being searched.
|
||
|
* @param aCompare Function which takes two elements and returns -1, 0, or 1.
|
||
|
* @param aBias Either 'binarySearch.GREATEST_LOWER_BOUND' or
|
||
|
* 'binarySearch.LEAST_UPPER_BOUND'. Specifies whether to return the
|
||
|
* closest element that is smaller than or greater than the one we are
|
||
|
* searching for, respectively, if the exact element cannot be found.
|
||
|
*/
|
||
|
function recursiveSearch(aLow, aHigh, aNeedle, aHaystack, aCompare, aBias) {
|
||
|
// This function terminates when one of the following is true:
|
||
|
//
|
||
|
// 1. We find the exact element we are looking for.
|
||
|
//
|
||
|
// 2. We did not find the exact element, but we can return the index of
|
||
|
// the next-closest element.
|
||
|
//
|
||
|
// 3. We did not find the exact element, and there is no next-closest
|
||
|
// element than the one we are searching for, so we return -1.
|
||
|
var mid = Math.floor((aHigh - aLow) / 2) + aLow;
|
||
|
var cmp = aCompare(aNeedle, aHaystack[mid], true);
|
||
|
if (cmp === 0) {
|
||
|
// Found the element we are looking for.
|
||
|
return mid;
|
||
|
}
|
||
|
else if (cmp > 0) {
|
||
|
// Our needle is greater than aHaystack[mid].
|
||
|
if (aHigh - mid > 1) {
|
||
|
// The element is in the upper half.
|
||
|
return recursiveSearch(mid, aHigh, aNeedle, aHaystack, aCompare, aBias);
|
||
|
}
|
||
|
|
||
|
// The exact needle element was not found in this haystack. Determine if
|
||
|
// we are in termination case (3) or (2) and return the appropriate thing.
|
||
|
if (aBias == exports.LEAST_UPPER_BOUND) {
|
||
|
return aHigh < aHaystack.length ? aHigh : -1;
|
||
|
} else {
|
||
|
return mid;
|
||
|
}
|
||
|
}
|
||
|
else {
|
||
|
// Our needle is less than aHaystack[mid].
|
||
|
if (mid - aLow > 1) {
|
||
|
// The element is in the lower half.
|
||
|
return recursiveSearch(aLow, mid, aNeedle, aHaystack, aCompare, aBias);
|
||
|
}
|
||
|
|
||
|
// we are in termination case (3) or (2) and return the appropriate thing.
|
||
|
if (aBias == exports.LEAST_UPPER_BOUND) {
|
||
|
return mid;
|
||
|
} else {
|
||
|
return aLow < 0 ? -1 : aLow;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* This is an implementation of binary search which will always try and return
|
||
|
* the index of the closest element if there is no exact hit. This is because
|
||
|
* mappings between original and generated line/col pairs are single points,
|
||
|
* and there is an implicit region between each of them, so a miss just means
|
||
|
* that you aren't on the very start of a region.
|
||
|
*
|
||
|
* @param aNeedle The element you are looking for.
|
||
|
* @param aHaystack The array that is being searched.
|
||
|
* @param aCompare A function which takes the needle and an element in the
|
||
|
* array and returns -1, 0, or 1 depending on whether the needle is less
|
||
|
* than, equal to, or greater than the element, respectively.
|
||
|
* @param aBias Either 'binarySearch.GREATEST_LOWER_BOUND' or
|
||
|
* 'binarySearch.LEAST_UPPER_BOUND'. Specifies whether to return the
|
||
|
* closest element that is smaller than or greater than the one we are
|
||
|
* searching for, respectively, if the exact element cannot be found.
|
||
|
* Defaults to 'binarySearch.GREATEST_LOWER_BOUND'.
|
||
|
*/
|
||
|
exports.search = function search(aNeedle, aHaystack, aCompare, aBias) {
|
||
|
if (aHaystack.length === 0) {
|
||
|
return -1;
|
||
|
}
|
||
|
|
||
|
var index = recursiveSearch(-1, aHaystack.length, aNeedle, aHaystack,
|
||
|
aCompare, aBias || exports.GREATEST_LOWER_BOUND);
|
||
|
if (index < 0) {
|
||
|
return -1;
|
||
|
}
|
||
|
|
||
|
// We have found either the exact element, or the next-closest element than
|
||
|
// the one we are searching for. However, there may be more than one such
|
||
|
// element. Make sure we always return the smallest of these.
|
||
|
while (index - 1 >= 0) {
|
||
|
if (aCompare(aHaystack[index], aHaystack[index - 1], true) !== 0) {
|
||
|
break;
|
||
|
}
|
||
|
--index;
|
||
|
}
|
||
|
|
||
|
return index;
|
||
|
};
|