| [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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