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1 | 1 | package com.thealgorithms.datastructures.crdt;
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2 | 2 |
|
| 3 | +import java.time.Instant; |
3 | 4 | import java.util.HashMap;
|
4 | 5 | import java.util.Map;
|
5 | 6 |
|
6 | 7 | /**
|
7 |
| - * Last-Write-Wins Element Set (LWWElementSet) is a state-based CRDT (Conflict-free Replicated Data Type) |
8 |
| - * designed for managing sets in a distributed and concurrent environment. It supports the addition and removal |
9 |
| - * of elements, using timestamps to determine the order of operations. The set is split into two subsets: |
10 |
| - * the add set for elements to be added and the remove set for elements to be removed. |
| 8 | + * Last-Write-Wins Element Set (LWWElementSet) is a state-based CRDT (Conflict-free Replicated Data |
| 9 | + * Type) designed for managing sets in a distributed and concurrent environment. It supports the |
| 10 | + * addition and removal of elements, using timestamps to determine the order of operations. The set |
| 11 | + * is split into two subsets: the add set for elements to be added and the remove set for elements |
| 12 | + * to be removed. The LWWElementSet ensures that the most recent operation (based on the timestamp) |
| 13 | + * wins in the case of concurrent operations. |
11 | 14 | *
|
12 |
| - * @author itakurah (Niklas Hoefflin) (https://github.com/itakurah) |
13 |
| - * @see <a href="https://en.wikipedia.org/wiki/Conflict-free_replicated_data_type">Conflict-free_replicated_data_type</a> |
14 |
| - * @see <a href="https://github.com/itakurah">itakurah (Niklas Hoefflin)</a> |
| 15 | + * @param <T> The type of the elements in the LWWElementSet. |
| 16 | + * @author <a href="https://github.com/itakurah">itakurah (GitHub)</a>, <a |
| 17 | + * href="https://www.linkedin.com/in/niklashoefflin/">Niklas Hoefflin (LinkedIn)</a> |
| 18 | + * @see <a href="https://en.wikipedia.org/wiki/Conflict-free_replicated_data_type">Conflict free |
| 19 | + * replicated data type (Wikipedia)</a> |
| 20 | + * @see <a href="https://inria.hal.science/inria-00555588v1/document">A comprehensive study of |
| 21 | + * Convergent and Commutative Replicated Data Types</a> |
15 | 22 | */
|
16 |
| - |
17 |
| -class Element { |
18 |
| - String key; |
19 |
| - int timestamp; |
20 |
| - Bias bias; |
| 23 | +class LWWElementSet<T> { |
| 24 | + final Map<T, Element<T>> addSet; |
| 25 | + final Map<T, Element<T>> removeSet; |
21 | 26 |
|
22 | 27 | /**
|
23 |
| - * Constructs a new Element with the specified key, timestamp and bias. |
24 |
| - * |
25 |
| - * @param key The key of the element. |
26 |
| - * @param timestamp The timestamp associated with the element. |
27 |
| - * @param bias The bias of the element (ADDS or REMOVALS). |
28 |
| - */ |
29 |
| - Element(String key, int timestamp, Bias bias) { |
30 |
| - this.key = key; |
31 |
| - this.timestamp = timestamp; |
32 |
| - this.bias = bias; |
33 |
| - } |
34 |
| -} |
35 |
| - |
36 |
| -enum Bias { |
37 |
| - /** |
38 |
| - * ADDS bias for the add set. |
39 |
| - * REMOVALS bias for the remove set. |
40 |
| - */ |
41 |
| - ADDS, |
42 |
| - REMOVALS |
43 |
| -} |
44 |
| - |
45 |
| -class LWWElementSet { |
46 |
| - private final Map<String, Element> addSet; |
47 |
| - private final Map<String, Element> removeSet; |
48 |
| - |
49 |
| - /** |
50 |
| - * Constructs an empty LWWElementSet. |
| 28 | + * Constructs an empty LWWElementSet. This constructor initializes the addSet and removeSet as |
| 29 | + * empty HashMaps. The addSet stores elements that are added, and the removeSet stores elements |
| 30 | + * that are removed. |
51 | 31 | */
|
52 | 32 | LWWElementSet() {
|
53 | 33 | this.addSet = new HashMap<>();
|
54 | 34 | this.removeSet = new HashMap<>();
|
55 | 35 | }
|
56 | 36 |
|
57 | 37 | /**
|
58 |
| - * Adds an element to the addSet. |
| 38 | + * Adds an element to the addSet with the current timestamp. This method stores the element in the |
| 39 | + * addSet, ensuring that the element is added to the set with an associated timestamp that |
| 40 | + * represents the time of the addition. |
59 | 41 | *
|
60 |
| - * @param e The element to be added. |
| 42 | + * @param key The key of the element to be added. |
61 | 43 | */
|
62 |
| - public void add(Element e) { |
63 |
| - addSet.put(e.key, e); |
| 44 | + public void add(T key) { |
| 45 | + addSet.put(key, new Element<>(key, Instant.now())); |
64 | 46 | }
|
65 | 47 |
|
66 | 48 | /**
|
67 |
| - * Removes an element from the removeSet. |
| 49 | + * Removes an element by adding it to the removeSet with the current timestamp. This method adds |
| 50 | + * the element to the removeSet, marking it as removed with the current timestamp. |
68 | 51 | *
|
69 |
| - * @param e The element to be removed. |
| 52 | + * @param key The key of the element to be removed. |
70 | 53 | */
|
71 |
| - public void remove(Element e) { |
72 |
| - if (lookup(e)) { |
73 |
| - removeSet.put(e.key, e); |
74 |
| - } |
| 54 | + public void remove(T key) { |
| 55 | + removeSet.put(key, new Element<>(key, Instant.now())); |
75 | 56 | }
|
76 | 57 |
|
77 | 58 | /**
|
78 |
| - * Checks if an element is in the LWWElementSet by comparing timestamps in the addSet and removeSet. |
| 59 | + * Checks if an element is in the LWWElementSet. An element is considered present if it exists in |
| 60 | + * the addSet and either does not exist in the removeSet, or its add timestamp is later than any |
| 61 | + * corresponding remove timestamp. |
79 | 62 | *
|
80 |
| - * @param e The element to be checked. |
81 |
| - * @return True if the element is present, false otherwise. |
| 63 | + * @param key The key of the element to be checked. |
| 64 | + * @return {@code true} if the element is present in the set (i.e., its add timestamp is later |
| 65 | + * than its remove timestamp, or it is not in the remove set), {@code false} otherwise (i.e., |
| 66 | + * the element has been removed or its remove timestamp is later than its add timestamp). |
82 | 67 | */
|
83 |
| - public boolean lookup(Element e) { |
84 |
| - Element inAddSet = addSet.get(e.key); |
85 |
| - Element inRemoveSet = removeSet.get(e.key); |
| 68 | + public boolean lookup(T key) { |
| 69 | + Element<T> inAddSet = addSet.get(key); |
| 70 | + Element<T> inRemoveSet = removeSet.get(key); |
86 | 71 |
|
87 |
| - return (inAddSet != null && (inRemoveSet == null || inAddSet.timestamp > inRemoveSet.timestamp)); |
| 72 | + return inAddSet != null && (inRemoveSet == null || inAddSet.timestamp.isAfter(inRemoveSet.timestamp)); |
88 | 73 | }
|
89 | 74 |
|
90 | 75 | /**
|
91 |
| - * Compares the LWWElementSet with another LWWElementSet to check if addSet and removeSet are a subset. |
| 76 | + * Merges another LWWElementSet into this set. This method takes the union of both the add-sets |
| 77 | + * and remove-sets from the two sets, resolving conflicts by keeping the element with the latest |
| 78 | + * timestamp. If an element appears in both the add-set and remove-set of both sets, the one with |
| 79 | + * the later timestamp will be retained. |
92 | 80 | *
|
93 |
| - * @param other The LWWElementSet to compare. |
94 |
| - * @return True if the set is subset, false otherwise. |
| 81 | + * @param other The LWWElementSet to merge with the current set. |
95 | 82 | */
|
96 |
| - public boolean compare(LWWElementSet other) { |
97 |
| - return other.addSet.keySet().containsAll(addSet.keySet()) && other.removeSet.keySet().containsAll(removeSet.keySet()); |
| 83 | + public void merge(LWWElementSet<T> other) { |
| 84 | + for (Map.Entry<T, Element<T>> entry : other.addSet.entrySet()) { |
| 85 | + addSet.merge(entry.getKey(), entry.getValue(), this::resolveConflict); |
| 86 | + } |
| 87 | + for (Map.Entry<T, Element<T>> entry : other.removeSet.entrySet()) { |
| 88 | + removeSet.merge(entry.getKey(), entry.getValue(), this::resolveConflict); |
| 89 | + } |
98 | 90 | }
|
99 | 91 |
|
100 | 92 | /**
|
101 |
| - * Merges another LWWElementSet into this set by resolving conflicts based on timestamps. |
| 93 | + * Resolves conflicts between two elements by selecting the one with the later timestamp. This |
| 94 | + * method is used when merging two LWWElementSets to ensure that the most recent operation (based |
| 95 | + * on timestamps) is kept. |
102 | 96 | *
|
103 |
| - * @param other The LWWElementSet to merge. |
| 97 | + * @param e1 The first element. |
| 98 | + * @param e2 The second element. |
| 99 | + * @return The element with the later timestamp. |
104 | 100 | */
|
105 |
| - public void merge(LWWElementSet other) { |
106 |
| - for (Element e : other.addSet.values()) { |
107 |
| - if (!addSet.containsKey(e.key) || compareTimestamps(addSet.get(e.key), e)) { |
108 |
| - addSet.put(e.key, e); |
109 |
| - } |
110 |
| - } |
111 |
| - |
112 |
| - for (Element e : other.removeSet.values()) { |
113 |
| - if (!removeSet.containsKey(e.key) || compareTimestamps(removeSet.get(e.key), e)) { |
114 |
| - removeSet.put(e.key, e); |
115 |
| - } |
116 |
| - } |
| 101 | + private Element<T> resolveConflict(Element<T> e1, Element<T> e2) { |
| 102 | + return e1.timestamp.isAfter(e2.timestamp) ? e1 : e2; |
117 | 103 | }
|
| 104 | +} |
| 105 | + |
| 106 | +/** |
| 107 | + * Represents an element in the LWWElementSet, consisting of a key and a timestamp. This class is |
| 108 | + * used to store the elements in both the add and remove sets with their respective timestamps. |
| 109 | + * |
| 110 | + * @param <T> The type of the key associated with the element. |
| 111 | + */ |
| 112 | +class Element<T> { |
| 113 | + T key; |
| 114 | + Instant timestamp; |
118 | 115 |
|
119 | 116 | /**
|
120 |
| - * Compares timestamps of two elements based on their bias (ADDS or REMOVALS). |
| 117 | + * Constructs a new Element with the specified key and timestamp. |
121 | 118 | *
|
122 |
| - * @param e The first element. |
123 |
| - * @param other The second element. |
124 |
| - * @return True if the first element's timestamp is greater or the bias is ADDS and timestamps are equal. |
| 119 | + * @param key The key of the element. |
| 120 | + * @param timestamp The timestamp associated with the element. |
125 | 121 | */
|
126 |
| - public boolean compareTimestamps(Element e, Element other) { |
127 |
| - if (e.bias != other.bias) { |
128 |
| - throw new IllegalArgumentException("Invalid bias value"); |
129 |
| - } |
130 |
| - Bias bias = e.bias; |
131 |
| - int timestampComparison = Integer.compare(e.timestamp, other.timestamp); |
132 |
| - |
133 |
| - if (timestampComparison == 0) { |
134 |
| - return bias != Bias.ADDS; |
135 |
| - } |
136 |
| - return timestampComparison < 0; |
| 122 | + Element(T key, Instant timestamp) { |
| 123 | + this.key = key; |
| 124 | + this.timestamp = timestamp; |
137 | 125 | }
|
138 | 126 | }
|
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