1 | #include "avl.h"
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2 | #include "avl-private.h"
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3 |
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4 | // AVL tree specific (internal) operations:
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5 | // rotateLeft, rotateRight, fix
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6 | //
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7 | // AVL tree enhanced height operation
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8 | //
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9 | // calcBalance is a simple computation of height(R) - height(L)
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10 |
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11 | // an AVL tree's height is easy to compute
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12 | // just follow path with the larger balance
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13 | forall(otype K | Comparable(K), otype V)
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14 | int height(tree(K, V) * t){
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15 | int helper(tree(K, V) * t, int ht){
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16 | if (empty(t)){
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17 | return ht;
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18 | } else if (t->balance > 0){
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19 | return helper(t->right, 1+ht);
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20 | } else {
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21 | // can traverse either branch to find the height
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22 | // of an AVL tree whose balance is 0
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23 | return helper(t->left, 1+ht);
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24 | }
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25 | }
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26 | return helper(t, 0);
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27 | }
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28 |
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29 | forall(otype K | Comparable(K), otype V)
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30 | int calcBalance(tree(K, V) * t){
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31 | int l = height(t->left);
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32 | int r = height(t->right);
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33 | t->balance = r-l;
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34 | return t->balance;
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35 | }
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36 |
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37 | // re-establish the link between parent and child
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38 | forall(otype K | Comparable(K), otype V)
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39 | void relinkToParent(tree(K, V) * t){
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40 | tree(K, V) * parent = t->parent; // FIX ME!!
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41 | if (empty(t->parent)){
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42 | return;
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43 | } else if (parent->key < t->key){
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44 | parent->right = t;
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45 | } else {
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46 | parent->left = t;
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47 | }
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48 | }
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49 |
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50 | // rotate left from t
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51 | forall(otype K | Comparable(K), otype V)
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52 | tree(K, V) * rotateLeft(tree(K, V) * t){
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53 | tree(K, V) * newRoot = t->right;
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54 | t->right = newRoot->left;
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55 | newRoot->left = t;
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56 |
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57 | // swap parents
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58 | newRoot->parent = t->parent;
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59 | t->parent = newRoot;
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60 | if (t->right != NULL) {
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61 | tree(K, V) * right = t->right; // FIX ME!!
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62 | right->parent = t;
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63 | }
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64 | // re-establish the link between newRoot and its parent
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65 | relinkToParent(newRoot);
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66 | return newRoot;
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67 | }
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68 |
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69 | // rotate right from t
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70 | forall(otype K | Comparable(K), otype V)
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71 | tree(K, V) * rotateRight(tree(K, V) * t){
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72 | tree(K, V) * newRoot = t->left;
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73 | t->left = newRoot->right;
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74 | newRoot->right = t;
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75 |
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76 | // swap parents
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77 | newRoot->parent = t->parent;
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78 | t->parent = newRoot;
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79 | if (t->left != NULL){
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80 | tree(K, V) * left = t->left; // FIX ME!!
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81 | left->parent = t;
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82 | }
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83 | // re-establish the link between newRoot and its parent
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84 | relinkToParent(newRoot);
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85 | return newRoot;
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86 | }
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87 |
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88 | // balances a node that has balance factor -2 or 2
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89 | forall(otype K | Comparable(K), otype V)
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90 | tree(K, V) * fix(tree(K, V) * t){
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91 | // ensure that t's balance factor is one of
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92 | // the appropriate values
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93 | assert(t->balance == 2 || t->balance == -2);
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94 |
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95 | if (t->balance == -2){
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96 | tree(K, V) * left = t->left; // FIX ME!!
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97 | if (left->balance == 1){
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98 | t->left = rotateLeft(t->left);
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99 | }
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100 | return rotateRight(t);
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101 | } else if (t->balance == 2){
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102 | tree(K, V) * right = t->right; // FIX ME!!
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103 | if (right->balance == -1){
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104 | t->right = rotateRight(t->right);
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105 | }
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106 | return rotateLeft(t);
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107 | } else {
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108 | // shouldn't ever get here
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109 | assert((int)0);
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110 | return t;
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111 | }
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112 | }
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113 |
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114 | // attempt to fix the tree, if necessary
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115 | forall(otype K | Comparable(K), otype V)
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116 | tree(K, V) * tryFix(tree(K, V) * t){
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117 | int b = calcBalance(t);
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118 |
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119 | if (b == -2 || b == 2){
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120 | t = fix(t);
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121 | } else {
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122 | assert(b == 0 || b == 1 || b == -1);
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123 | }
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124 | return t;
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125 | }
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126 |
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127 | // sets parent field of c to be p
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128 | forall(otype K | Comparable(K), otype V)
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129 | void setParent(tree(K, V) * c, tree(K, V) * p){
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130 | if (! empty(c)){
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131 | c->parent = p;
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132 | }
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133 | }
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134 |
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