|
| 1 | +package main |
| 2 | + |
| 3 | +import ( |
| 4 | + "container/heap" |
| 5 | + "fmt" |
| 6 | +) |
| 7 | + |
| 8 | +type node struct { |
| 9 | + freq int |
| 10 | + char rune |
| 11 | + left *node |
| 12 | + right *node |
| 13 | +} |
| 14 | + |
| 15 | +type codebook map[rune]string |
| 16 | +type nodeHeap []*node |
| 17 | + |
| 18 | +func (n nodeHeap) Len() int { return len(n) } |
| 19 | +func (n nodeHeap) Less(i, j int) bool { return n[i].freq > n[j].freq } |
| 20 | +func (n nodeHeap) Swap(i, j int) { n[i], n[j] = n[j], n[i] } |
| 21 | + |
| 22 | +func (n *nodeHeap) Push(x interface{}) { |
| 23 | + if node, ok := x.(*node); ok { |
| 24 | + *n = append(*n, node) |
| 25 | + } else { |
| 26 | + fmt.Printf("I got a node of Type %T\n", x) |
| 27 | + } |
| 28 | +} |
| 29 | + |
| 30 | +func (n *nodeHeap) Pop() interface{} { |
| 31 | + old := *n |
| 32 | + l := len(old) |
| 33 | + x := old[l-1] |
| 34 | + *n = old[0 : l-1] |
| 35 | + return x |
| 36 | +} |
| 37 | + |
| 38 | +func buildTree(message string) *node { |
| 39 | + freqMap := make(map[rune]*node) |
| 40 | + h := new(nodeHeap) |
| 41 | + heap.Init(h) // really needed? |
| 42 | + |
| 43 | + for _, char := range message { |
| 44 | + if _, ok := freqMap[char]; ok { |
| 45 | + freqMap[char].freq++ |
| 46 | + } else { |
| 47 | + newNode := new(node) |
| 48 | + newNode.freq = 1 |
| 49 | + newNode.char = char |
| 50 | + freqMap[char] = newNode |
| 51 | + heap.Push(h, newNode) |
| 52 | + } |
| 53 | + } |
| 54 | + |
| 55 | + for h.Len() > 1 { |
| 56 | + left, right := h.Pop().(*node), h.Pop().(*node) |
| 57 | + branch := new(node) |
| 58 | + branch.freq = right.freq + left.freq |
| 59 | + branch.left = left |
| 60 | + branch.right = right |
| 61 | + heap.Push(h, branch) |
| 62 | + } |
| 63 | + |
| 64 | + root := heap.Pop(h).(*node) |
| 65 | + return root |
| 66 | +} |
| 67 | + |
| 68 | +func codebookRecurse(node *node, cb *codebook, code []rune) { |
| 69 | + if node == nil { |
| 70 | + return |
| 71 | + } |
| 72 | + |
| 73 | + if node.left == nil && node.right == nil { |
| 74 | + (*cb)[node.char] = string(code) |
| 75 | + } |
| 76 | + |
| 77 | + code = append(code, '0') |
| 78 | + codebookRecurse(node.left, cb, code) |
| 79 | + code = append(code[:len(code)-1], '1') |
| 80 | + codebookRecurse(node.right, cb, code) |
| 81 | +} |
| 82 | + |
| 83 | +func encode(message string) (string, *node, codebook) { |
| 84 | + ret := "" |
| 85 | + root := buildTree(message) |
| 86 | + cb := generateCodebook(root) |
| 87 | + for _, char := range message { |
| 88 | + ret += cb[char] |
| 89 | + } |
| 90 | + |
| 91 | + return ret, root, cb |
| 92 | +} |
| 93 | + |
| 94 | +func decode(message string, root *node) string { |
| 95 | + cur := root |
| 96 | + ret := "" |
| 97 | + |
| 98 | + for _, char := range message { |
| 99 | + if cur == nil { |
| 100 | + return message |
| 101 | + } |
| 102 | + |
| 103 | + switch string(char) { |
| 104 | + case "0": |
| 105 | + if cur.left == nil { |
| 106 | + ret += string(cur.char) |
| 107 | + cur = root.left |
| 108 | + } else { |
| 109 | + cur = cur.left |
| 110 | + } |
| 111 | + case "1": |
| 112 | + if cur.right == nil { |
| 113 | + ret += string(cur.char) |
| 114 | + cur = root.right |
| 115 | + } else { |
| 116 | + cur = cur.right |
| 117 | + } |
| 118 | + } |
| 119 | + } |
| 120 | + |
| 121 | + if cur.char != 0 { |
| 122 | + ret += string(cur.char) |
| 123 | + } |
| 124 | + |
| 125 | + return ret |
| 126 | +} |
| 127 | + |
| 128 | +func generateCodebook(root *node) codebook { |
| 129 | + cb := make(codebook) |
| 130 | + codeArr := make([]rune, 0) |
| 131 | + codebookRecurse(root, &cb, codeArr) |
| 132 | + return cb |
| 133 | +} |
| 134 | + |
| 135 | +func main() { |
| 136 | + enc, root, cb := encode("bibbity_bobbity") |
| 137 | + fmt.Println("Codebook:") |
| 138 | + for r, c := range cb { |
| 139 | + fmt.Println(string(r), "->", c) |
| 140 | + } |
| 141 | + fmt.Println("\nEncoded:", enc) |
| 142 | + fmt.Println("Decoded:", decode(enc, root)) |
| 143 | +} |
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