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| 1 | +import org.junit.Assert; |
| 2 | + |
| 3 | +import java.util.ArrayList; |
| 4 | +import java.util.List; |
| 5 | +import java.util.Random; |
| 6 | + |
| 7 | +public class SkipList { |
| 8 | + |
| 9 | + private static class Node { |
| 10 | + int value; |
| 11 | + Node left, down; |
| 12 | + |
| 13 | + Node(int x) { |
| 14 | + this(x, null, null); |
| 15 | + } |
| 16 | + |
| 17 | + Node(int x, Node down, Node left) { |
| 18 | + this.value = x; |
| 19 | + this.down = down; |
| 20 | + this.left = left; |
| 21 | + } |
| 22 | + } |
| 23 | + |
| 24 | + private List<Node> head; |
| 25 | + private double p; |
| 26 | + private int size; |
| 27 | + private Random rand; |
| 28 | + |
| 29 | + public SkipList(double p, int maxHeight) { |
| 30 | + this.head = new ArrayList<Node>(); |
| 31 | + this.p = p; |
| 32 | + this.size = 0; |
| 33 | + assert maxHeight > 0; |
| 34 | + for (int i = 0; i < maxHeight; i++) { |
| 35 | + head.add(new Node(0)); |
| 36 | + if (i > 0) { |
| 37 | + head.get(i).down = head.get(i - 1); |
| 38 | + } |
| 39 | + } |
| 40 | + rand = new Random(); |
| 41 | + } |
| 42 | + |
| 43 | + public SkipList() { |
| 44 | + this(0.5, 32); |
| 45 | + } |
| 46 | + |
| 47 | + private int randomHeight() { |
| 48 | + int h = 0; |
| 49 | + while (rand.nextDouble() < p && h < 64) |
| 50 | + h++; |
| 51 | + return h + 1; |
| 52 | + } |
| 53 | + |
| 54 | + public void add(int value) { |
| 55 | + final int maxHeight = head.size(); |
| 56 | + Node[] update = new Node[maxHeight]; |
| 57 | + Node it = head.get(maxHeight - 1); |
| 58 | + int h = maxHeight - 1; |
| 59 | + while (it != null) { |
| 60 | + if (it.left == null || value < it.left.value) { |
| 61 | + update[h--] = it; |
| 62 | + it = it.down; |
| 63 | + } else { |
| 64 | + it = it.left; |
| 65 | + } |
| 66 | + } |
| 67 | + int currentHeight = randomHeight(); |
| 68 | + Node[] current = new Node[currentHeight]; |
| 69 | + for (h = 0; h < currentHeight; h++) { |
| 70 | + current[h] = new Node(value); |
| 71 | + if (h > 0) { |
| 72 | + current[h].down = current[h - 1]; |
| 73 | + } |
| 74 | + } |
| 75 | + if (maxHeight < currentHeight) { |
| 76 | + for (h = maxHeight; h < currentHeight; h++) { |
| 77 | + head.add(new Node(0, head.get(h - 1), current[h])); |
| 78 | + } |
| 79 | + for (h = 0; h < maxHeight; h++) { |
| 80 | + current[h].left = update[h].left; |
| 81 | + update[h].left = current[h]; |
| 82 | + } |
| 83 | + } else { |
| 84 | + for (h = 0; h < currentHeight; h++) { |
| 85 | + current[h].left = update[h].left; |
| 86 | + update[h].left = current[h]; |
| 87 | + } |
| 88 | + } |
| 89 | + size++; |
| 90 | + } |
| 91 | + |
| 92 | + public boolean found(int value) { |
| 93 | + final int maxHeight = head.size(); |
| 94 | + Node it = head.get(maxHeight - 1); |
| 95 | + while (it != null) { |
| 96 | + if (it.left == null || value <= it.left.value) { |
| 97 | + if (it.left != null && it.left.value == value) return true; |
| 98 | + it = it.down; |
| 99 | + } else { |
| 100 | + it = it.left; |
| 101 | + } |
| 102 | + } |
| 103 | + return false; |
| 104 | + } |
| 105 | + |
| 106 | + public boolean remove(int value) { |
| 107 | + final int maxHeight = head.size(); |
| 108 | + Node it = head.get(maxHeight - 1); |
| 109 | + boolean isFound = false; |
| 110 | + while (it != null) { |
| 111 | + if (it.left == null || value <= it.left.value) { |
| 112 | + if (it.left != null && it.left.value == value) { |
| 113 | + // do the removing |
| 114 | + isFound = true; |
| 115 | + it.left = it.left.left; |
| 116 | + } |
| 117 | + it = it.down; |
| 118 | + } else { |
| 119 | + it = it.left; |
| 120 | + } |
| 121 | + } |
| 122 | + if (isFound) { |
| 123 | + for (int i = head.size() - 1; i >= 1; i--) { |
| 124 | + if (head.get(i).left == null) { |
| 125 | + head.remove(i); |
| 126 | + } |
| 127 | + } |
| 128 | + --size; |
| 129 | + } |
| 130 | + return isFound; |
| 131 | + } |
| 132 | + |
| 133 | + public int[] toArrays() { |
| 134 | + int i = 0; |
| 135 | + int[] values = new int[size]; |
| 136 | + for (Node it = head.get(0).left; it != null; it = it.left) { |
| 137 | + values[i++] = it.value; |
| 138 | + } |
| 139 | + return values; |
| 140 | + } |
| 141 | + |
| 142 | + public int size() { |
| 143 | + return size; |
| 144 | + } |
| 145 | + |
| 146 | + public void print() { |
| 147 | + for (int i = head.size() - 1; i >= 0; i--) { |
| 148 | + Node it = head.get(i).left; |
| 149 | + System.out.print("Height #" + i + ": "); |
| 150 | + while (it != null) { |
| 151 | + System.out.print(it.value + " "); |
| 152 | + it = it.left; |
| 153 | + } |
| 154 | + System.out.println(); |
| 155 | + |
| 156 | + } |
| 157 | + } |
| 158 | + |
| 159 | + public static void main(String args[]) { |
| 160 | + SkipList skipList = new SkipList(); |
| 161 | + int[] values1 = new int[] { 23, 12, 33, 45, 8, 1, 48, 49, 32, 24, 0, 88 }; |
| 162 | + int[] result1 = new int[] { 0, 1, 8, 12, 23, 24, 32, 33, 45, 48, 49, 88 }; |
| 163 | + for (int i = 0; i < values1.length; i++) { |
| 164 | + skipList.add(values1[i]); |
| 165 | + } |
| 166 | + skipList.print(); |
| 167 | + |
| 168 | + Assert.assertEquals(skipList.size(), result1.length); |
| 169 | + Assert.assertArrayEquals(result1, skipList.toArrays()); |
| 170 | + |
| 171 | + Assert.assertTrue(skipList.remove(0)); |
| 172 | + Assert.assertEquals(skipList.size(), result1.length - 1); |
| 173 | + Assert.assertArrayEquals(new int[] { 1, 8, 12, 23, 24, 32, 33, 45, 48, 49, 88 }, |
| 174 | + skipList.toArrays()); |
| 175 | + |
| 176 | + Assert.assertFalse(skipList.remove(0)); |
| 177 | + Assert.assertEquals(skipList.size(), result1.length - 1); |
| 178 | + Assert.assertArrayEquals(new int[] { 1, 8, 12, 23, 24, 32, 33, 45, 48, 49, 88 }, |
| 179 | + skipList.toArrays()); |
| 180 | + |
| 181 | + Assert.assertTrue(skipList.remove(88)); |
| 182 | + Assert.assertEquals(skipList.size(), result1.length - 2); |
| 183 | + Assert.assertArrayEquals(new int[] { 1, 8, 12, 23, 24, 32, 33, 45, 48, 49 }, |
| 184 | + skipList.toArrays()); |
| 185 | + |
| 186 | + Assert.assertTrue(skipList.remove(33)); |
| 187 | + Assert.assertEquals(skipList.size(), result1.length - 3); |
| 188 | + Assert.assertArrayEquals(new int[] { 1, 8, 12, 23, 24, 32, 45, 48, 49 }, skipList.toArrays()); |
| 189 | + |
| 190 | + Assert.assertTrue(skipList.remove(12)); |
| 191 | + Assert.assertEquals(skipList.size(), result1.length - 4); |
| 192 | + Assert.assertArrayEquals(new int[] { 1, 8, 23, 24, 32, 45, 48, 49 }, skipList.toArrays()); |
| 193 | + |
| 194 | + for (int value : skipList.toArrays()) { |
| 195 | + Assert.assertTrue(skipList.remove(value)); |
| 196 | + } |
| 197 | + Assert.assertTrue(skipList.size() == 0); |
| 198 | + } |
| 199 | +} |
| 200 | + |
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