1 | #include "avl.h"
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2 | #include "avl-private.h"
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3 |
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4 | // from stdlib
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5 | forall(otype T)
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6 | void swap(T *, T *);
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7 |
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8 | // swaps the data within two tree nodes
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9 | forall(otype K | Comparable(K), otype V)
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10 | void node_swap(tree(K, V) * t, tree(K, V) * t2){
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11 | swap(&t->key, &t2->key);
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12 | swap(&t->value, &t2->value);
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13 | }
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14 |
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15 | // go left as deep as possible from within the right subtree
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16 | forall(otype K | Comparable(K), otype V)
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17 | tree(K, V) * find_successor(tree(K, V) * t){
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18 | tree(K, V) * find_successor_helper(tree(K, V) * t){
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19 | // go left as deep as possible, return the last node
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20 | if (empty(t->left)){
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21 | return t;
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22 | } else {
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23 | return find_successor_helper(t->left);
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24 | }
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25 | }
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26 | return find_successor_helper(t->right);
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27 | }
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28 |
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29 | // cleanup - don't want to deep delete, so set children to NULL first.
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30 | forall(otype K | Comparable(K), otype V)
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31 | void deleteSingleNode(tree(K, V) * t) {
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32 | t->left = NULL;
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33 | t->right = NULL;
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34 | deleteSingleNode(t);
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35 | }
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36 |
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37 | // does the actual remove operation once we've found the node in question
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38 | forall(otype K | Comparable(K), otype V)
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39 | tree(K, V) * remove_node(tree(K, V) * t){
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40 | // is the node a leaf?
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41 | if (empty(t->left) && empty(t->right)){
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42 | // yes, just delete this node
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43 | delete(t);
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44 | return NULL;
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45 | } else if (empty(t->left)){
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46 | // if the left is empty, there is only one child -> move right up
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47 | node_swap(t, t->right);
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48 | tree(K, V) * tmp = t->right;
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49 |
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50 | // relink tree
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51 | t->left = tmp->left;
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52 | t->right = tmp->right;
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53 |
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54 | setParent(t->left, t);
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55 | setParent(t->right, t);
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56 | deleteSingleNode(tmp);
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57 | return t;
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58 | } else if (empty(t->right)){
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59 | // if the right is empty, there is only one child -> move left up
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60 | node_swap(t, t->left);
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61 | tree(K, V) * tmp = t->left;
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62 |
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63 | // relink tree
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64 | t->left = tmp->left;
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65 | t->right = tmp->right;
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66 |
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67 | setParent(t->left, t);
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68 | setParent(t->right, t);
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69 | deleteSingleNode(tmp);
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70 | return t;
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71 | } else {
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72 | // swap with the successor
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73 | tree(K, V) * s = find_successor(t);
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74 | tree(K, V) * parent = s->parent;
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75 |
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76 | if (parent->left == s){
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77 | parent->left = s->right;
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78 | } else {
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79 | assert(parent->right == s);
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80 | parent->right = s->right;
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81 | }
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82 | setParent(s->right, parent);
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83 | node_swap(t, s);
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84 | deleteSingleNode(s);
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85 | return t;
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86 | }
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87 | }
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88 |
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89 | // finds the node that needs to be removed
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90 | forall(otype K | Comparable(K), otype V)
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91 | tree(K, V) * remove_helper(tree(K, V) * t, K key, int * worked){
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92 | if (empty(t)){
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93 | // did not work because key was not found
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94 | // set the status variable and return
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95 | *worked = 1;
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96 | } else if (t->key == key) {
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97 | t = remove_node(t);
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98 | } else if (t->key < key){
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99 | t->right = remove_helper(t->right, key, worked);
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100 | } else {
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101 | // t->key > key
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102 | t->left = remove_helper(t->left, key, worked);
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103 | }
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104 | // try to fix after deleting
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105 | if (! empty(t)) {
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106 | t = tryFix(t);
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107 | }
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108 | return t;
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109 | }
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110 |
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111 | forall(otype K | Comparable(K), otype V)
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112 | int remove(tree(K, V) ** t, K key){
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113 | int worked = 0;
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114 | tree(K, V) * newTree = remove_helper(*t, key, &worked);
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115 | *t = newTree;
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116 | return worked;
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117 | }
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