Tim van der Lippe | 16b8228 | 2021-11-08 13:50:26 +0000 | [diff] [blame] | 1 | /* -*- Mode: js; js-indent-level: 2; -*- */ |
| 2 | /* |
| 3 | * Copyright 2011 Mozilla Foundation and contributors |
| 4 | * Licensed under the New BSD license. See LICENSE or: |
| 5 | * http://opensource.org/licenses/BSD-3-Clause |
| 6 | */ |
| 7 | |
| 8 | exports.GREATEST_LOWER_BOUND = 1; |
| 9 | exports.LEAST_UPPER_BOUND = 2; |
| 10 | |
| 11 | /** |
| 12 | * Recursive implementation of binary search. |
| 13 | * |
| 14 | * @param aLow Indices here and lower do not contain the needle. |
| 15 | * @param aHigh Indices here and higher do not contain the needle. |
| 16 | * @param aNeedle The element being searched for. |
| 17 | * @param aHaystack The non-empty array being searched. |
| 18 | * @param aCompare Function which takes two elements and returns -1, 0, or 1. |
| 19 | * @param aBias Either 'binarySearch.GREATEST_LOWER_BOUND' or |
| 20 | * 'binarySearch.LEAST_UPPER_BOUND'. Specifies whether to return the |
| 21 | * closest element that is smaller than or greater than the one we are |
| 22 | * searching for, respectively, if the exact element cannot be found. |
| 23 | */ |
| 24 | function recursiveSearch(aLow, aHigh, aNeedle, aHaystack, aCompare, aBias) { |
| 25 | // This function terminates when one of the following is true: |
| 26 | // |
| 27 | // 1. We find the exact element we are looking for. |
| 28 | // |
| 29 | // 2. We did not find the exact element, but we can return the index of |
| 30 | // the next-closest element. |
| 31 | // |
| 32 | // 3. We did not find the exact element, and there is no next-closest |
| 33 | // element than the one we are searching for, so we return -1. |
| 34 | var mid = Math.floor((aHigh - aLow) / 2) + aLow; |
| 35 | var cmp = aCompare(aNeedle, aHaystack[mid], true); |
| 36 | if (cmp === 0) { |
| 37 | // Found the element we are looking for. |
| 38 | return mid; |
| 39 | } |
| 40 | else if (cmp > 0) { |
| 41 | // Our needle is greater than aHaystack[mid]. |
| 42 | if (aHigh - mid > 1) { |
| 43 | // The element is in the upper half. |
| 44 | return recursiveSearch(mid, aHigh, aNeedle, aHaystack, aCompare, aBias); |
| 45 | } |
| 46 | |
| 47 | // The exact needle element was not found in this haystack. Determine if |
| 48 | // we are in termination case (3) or (2) and return the appropriate thing. |
| 49 | if (aBias == exports.LEAST_UPPER_BOUND) { |
| 50 | return aHigh < aHaystack.length ? aHigh : -1; |
| 51 | } else { |
| 52 | return mid; |
| 53 | } |
| 54 | } |
| 55 | else { |
| 56 | // Our needle is less than aHaystack[mid]. |
| 57 | if (mid - aLow > 1) { |
| 58 | // The element is in the lower half. |
| 59 | return recursiveSearch(aLow, mid, aNeedle, aHaystack, aCompare, aBias); |
| 60 | } |
| 61 | |
| 62 | // we are in termination case (3) or (2) and return the appropriate thing. |
| 63 | if (aBias == exports.LEAST_UPPER_BOUND) { |
| 64 | return mid; |
| 65 | } else { |
| 66 | return aLow < 0 ? -1 : aLow; |
| 67 | } |
| 68 | } |
| 69 | } |
| 70 | |
| 71 | /** |
| 72 | * This is an implementation of binary search which will always try and return |
| 73 | * the index of the closest element if there is no exact hit. This is because |
| 74 | * mappings between original and generated line/col pairs are single points, |
| 75 | * and there is an implicit region between each of them, so a miss just means |
| 76 | * that you aren't on the very start of a region. |
| 77 | * |
| 78 | * @param aNeedle The element you are looking for. |
| 79 | * @param aHaystack The array that is being searched. |
| 80 | * @param aCompare A function which takes the needle and an element in the |
| 81 | * array and returns -1, 0, or 1 depending on whether the needle is less |
| 82 | * than, equal to, or greater than the element, respectively. |
| 83 | * @param aBias Either 'binarySearch.GREATEST_LOWER_BOUND' or |
| 84 | * 'binarySearch.LEAST_UPPER_BOUND'. Specifies whether to return the |
| 85 | * closest element that is smaller than or greater than the one we are |
| 86 | * searching for, respectively, if the exact element cannot be found. |
| 87 | * Defaults to 'binarySearch.GREATEST_LOWER_BOUND'. |
| 88 | */ |
| 89 | exports.search = function search(aNeedle, aHaystack, aCompare, aBias) { |
| 90 | if (aHaystack.length === 0) { |
| 91 | return -1; |
| 92 | } |
| 93 | |
| 94 | var index = recursiveSearch(-1, aHaystack.length, aNeedle, aHaystack, |
| 95 | aCompare, aBias || exports.GREATEST_LOWER_BOUND); |
| 96 | if (index < 0) { |
| 97 | return -1; |
| 98 | } |
| 99 | |
| 100 | // We have found either the exact element, or the next-closest element than |
| 101 | // the one we are searching for. However, there may be more than one such |
| 102 | // element. Make sure we always return the smallest of these. |
| 103 | while (index - 1 >= 0) { |
| 104 | if (aCompare(aHaystack[index], aHaystack[index - 1], true) !== 0) { |
| 105 | break; |
| 106 | } |
| 107 | --index; |
| 108 | } |
| 109 | |
| 110 | return index; |
| 111 | }; |