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| 1 | +package skiplist |
| 2 | + |
| 3 | +import ( |
| 4 | + "math" |
| 5 | + "math/rand" |
| 6 | + "time" |
| 7 | + |
| 8 | +) |
| 9 | + |
| 10 | +func init() { |
| 11 | + rand.Seed(time.Now().UTC().UnixNano()) |
| 12 | +} |
| 13 | + |
| 14 | +type node struct { |
| 15 | + Lesser |
| 16 | + nexts []*node |
| 17 | +} |
| 18 | + |
| 19 | +type skiplist struct { |
| 20 | + header node |
| 21 | + size int |
| 22 | +} |
| 23 | + |
| 24 | +// New create a skiplist instance |
| 25 | +func New(estimatedNodeCount int) MapContainer { |
| 26 | + if estimatedNodeCount < 2 { |
| 27 | + estimatedNodeCount = 2 |
| 28 | + } |
| 29 | + return &skiplist{header: node{nexts: make([]*node, |
| 30 | + int64(math.Ceil(math.Log2(float64(estimatedNodeCount)))))}} |
| 31 | +} |
| 32 | + |
| 33 | +func isEqual(ls1 Lesser, ls2 Lesser) bool { |
| 34 | + return !ls1.Less(ls2) && !ls2.Less(ls1) |
| 35 | +} |
| 36 | + |
| 37 | +// ReplaceOrInsert insert a element or replace the element if it already exists |
| 38 | +func (sl *skiplist) ReplaceOrInsert(elem Lesser) Lesser { |
| 39 | + insertToHeight := calcInsertionHeight(len(sl.header.nexts)) |
| 40 | + newNode := &node{elem, make([]*node, insertToHeight)} |
| 41 | + prevs, removed := sl.removeIfAny(elem) |
| 42 | + if removed == nil { |
| 43 | + sl.size++ |
| 44 | + } |
| 45 | + |
| 46 | + for i := 0; i < len(newNode.nexts); i++ { |
| 47 | + newNode.nexts[i] = prevs[i].nexts[i] |
| 48 | + prevs[i].nexts[i] = newNode |
| 49 | + } |
| 50 | + return newNode |
| 51 | +} |
| 52 | + |
| 53 | +func (sl *skiplist) getMaxHeight() int { |
| 54 | + return len(sl.header.nexts) |
| 55 | +} |
| 56 | + |
| 57 | +func (sl *skiplist) searchPrev(target Lesser) []*node { |
| 58 | + prevs := make([]*node, sl.getMaxHeight()+1) |
| 59 | + prevs[len(prevs)-1] = &sl.header |
| 60 | + for h := sl.getMaxHeight() - 1; h >= 0; h-- { |
| 61 | + prevs[h] = prevs[h+1] |
| 62 | + for pv := prevs[h].nexts[h]; pv != nil && pv.Lesser.Less(target); pv = pv.nexts[h] { |
| 63 | + prevs[h] = pv |
| 64 | + } |
| 65 | + } |
| 66 | + return prevs[:len(prevs)-1] |
| 67 | +} |
| 68 | + |
| 69 | +// Search search an element in skiplist |
| 70 | +func (sl *skiplist) Search(target Lesser) (Lesser, bool) { |
| 71 | + prevs := sl.searchPrev(target) |
| 72 | + if prevs[0].nexts[0] != nil && isEqual(prevs[0].nexts[0].Lesser, target) { |
| 73 | + return prevs[0].nexts[0].Lesser, true |
| 74 | + } |
| 75 | + return nil, false |
| 76 | +} |
| 77 | +func remove(prevs []*node, target Lesser) (deleted *node) { |
| 78 | + for i := 0; i < len(prevs) && prevs[i].nexts[i] != nil && isEqual(prevs[i].nexts[i].Lesser, target); i++ { |
| 79 | + deleted = prevs[i].nexts[i] |
| 80 | + prevs[i].nexts[i] = prevs[i].nexts[i].nexts[i] |
| 81 | + } |
| 82 | + return |
| 83 | +} |
| 84 | +func (sl *skiplist) removeIfAny(target Lesser) (prevs []*node, deleted *node) { |
| 85 | + prevs = sl.searchPrev(target) |
| 86 | + deleted = remove(prevs, target) |
| 87 | + return |
| 88 | +} |
| 89 | + |
| 90 | +func calcInsertionHeight(maxHeight int) int { |
| 91 | + res := 1 |
| 92 | + for i := 0; i < maxHeight-1; i++ { |
| 93 | + upDown := rand.Intn(2) |
| 94 | + if upDown == 0 { |
| 95 | + break |
| 96 | + } |
| 97 | + res++ |
| 98 | + } |
| 99 | + return res |
| 100 | +} |
| 101 | + |
| 102 | +// Delete delete the target from skiplist |
| 103 | +func (sl *skiplist) Delete(target Lesser) (deleted Lesser, found bool) { |
| 104 | + _, deletedNode := sl.removeIfAny(target) |
| 105 | + if deletedNode != nil { |
| 106 | + sl.size-- |
| 107 | + return deletedNode.Lesser, true |
| 108 | + } |
| 109 | + return nil, false |
| 110 | +} |
| 111 | + |
| 112 | +// Min get the element with minimum value |
| 113 | +func (sl *skiplist) Min() (Lesser, bool) { |
| 114 | + if sl.header.nexts[0] == nil { |
| 115 | + return nil, false |
| 116 | + } |
| 117 | + return sl.header.nexts[0].Lesser, true |
| 118 | +} |
| 119 | + |
| 120 | +// Ascend loop over all element and run @iterHandler |
| 121 | +func (sl *skiplist) Ascend(iterHandler func(i Lesser) bool) { |
| 122 | + for next := sl.header.nexts[0]; next != nil && |
| 123 | + iterHandler(next.Lesser); next = next.nexts[0] { |
| 124 | + } |
| 125 | +} |
| 126 | + |
| 127 | +// Len return element count in skiplist |
| 128 | +func (sl *skiplist) Len() int { |
| 129 | + return sl.size |
| 130 | +} |
| 131 | + |
| 132 | +func (sl *skiplist) max() ([]*node, bool) { |
| 133 | + prevs := make([]*node, sl.getMaxHeight()+1) |
| 134 | + prevs[len(prevs)-1] = &sl.header |
| 135 | + for h := sl.getMaxHeight() - 1; h >= 0; h-- { |
| 136 | + prevs[h] = prevs[h+1] |
| 137 | + for pv := prevs[h].nexts[h]; pv != nil && |
| 138 | + pv.nexts[h] != nil; pv = pv.nexts[h] { |
| 139 | + |
| 140 | + prevs[h] = pv |
| 141 | + } |
| 142 | + } |
| 143 | + if sl.size != 0 { |
| 144 | + return prevs[:len(prevs)-1], true |
| 145 | + } |
| 146 | + return nil, false |
| 147 | +} |
| 148 | + |
| 149 | +// Max return maximum element in skiplist |
| 150 | +func (sl *skiplist) Max() (less Lesser, found bool) { |
| 151 | + prevs, found := sl.max() |
| 152 | + if found { |
| 153 | + return prevs[0].nexts[0].Lesser, true |
| 154 | + } |
| 155 | + return nil, false |
| 156 | +} |
| 157 | + |
| 158 | +// DeleteMax delete the element with maximum value. |
| 159 | +func (sl *skiplist) DeleteMax() (less Lesser, found bool) { |
| 160 | + prevs, found := sl.max() |
| 161 | + if found { |
| 162 | + sl.size-- |
| 163 | + maxLesser := prevs[0].nexts[0].Lesser |
| 164 | + return remove(prevs, maxLesser).Lesser, true |
| 165 | + } |
| 166 | + return nil, false |
| 167 | +} |
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