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 | };
|
---|