[6e3ae00] | 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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