| 1 | #include "avl.h"
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| 2 | #include "avl-private.h"
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| 3 | #include <stdlib>
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| 4 |
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| 5 | // from stdlib
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| 6 | forall(otype T)
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| 7 | void swap(T *, T *);
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| 8 |
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| 9 | // swaps the data within two tree nodes
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| 10 | forall(otype K | Comparable(K), otype V)
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| 11 | void node_swap(tree(K, V) * t, tree(K, V) * t2){
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| 12 | swap(&t->key, &t2->key);
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| 13 | swap(&t->value, &t2->value);
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| 14 | }
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| 15 |
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| 16 | // go left as deep as possible from within the right subtree
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| 17 | forall(otype K | Comparable(K), otype V)
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| 18 | tree(K, V) * find_successor(tree(K, V) * t){
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| 19 | tree(K, V) * find_successor_helper(tree(K, V) * t){
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| 20 | // go left as deep as possible, return the last node
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| 21 | if (empty(t->left)){
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| 22 | return t;
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| 23 | } else {
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| 24 | return find_successor_helper(t->left);
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| 25 | }
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| 26 | }
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| 27 | return find_successor_helper(t->right);
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| 28 | }
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| 29 |
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| 30 | // cleanup - don't want to deep delete, so set children to NULL first.
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| 31 | forall(otype K | Comparable(K), otype V)
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| 32 | void deleteSingleNode(tree(K, V) * t) {
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| 33 | t->left = NULL;
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| 34 | t->right = NULL;
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| 35 | delete(t);
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| 36 | }
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| 37 |
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| 38 | // does the actual remove operation once we've found the node in question
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| 39 | forall(otype K | Comparable(K), otype V)
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| 40 | tree(K, V) * remove_node(tree(K, V) * t){
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| 41 | // is the node a leaf?
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| 42 | if (empty(t->left) && empty(t->right)){
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| 43 | // yes, just delete this node
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| 44 | delete(t);
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| 45 | return NULL;
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| 46 | } else if (empty(t->left)){
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| 47 | // if the left is empty, there is only one child -> move right up
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| 48 | node_swap(t, t->right);
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| 49 | tree(K, V) * tmp = t->right;
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| 50 |
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| 51 | // relink tree
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| 52 | t->left = tmp->left;
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| 53 | t->right = tmp->right;
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| 54 |
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| 55 | setParent(t->left, t);
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| 56 | setParent(t->right, t);
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| 57 | deleteSingleNode(tmp);
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| 58 | return t;
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| 59 | } else if (empty(t->right)){
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| 60 | // if the right is empty, there is only one child -> move left up
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| 61 | node_swap(t, t->left);
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| 62 | tree(K, V) * tmp = t->left;
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| 63 |
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| 64 | // relink tree
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| 65 | t->left = tmp->left;
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| 66 | t->right = tmp->right;
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| 67 |
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| 68 | setParent(t->left, t);
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| 69 | setParent(t->right, t);
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| 70 | deleteSingleNode(tmp);
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| 71 | return t;
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| 72 | } else {
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| 73 | // swap with the successor
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| 74 | tree(K, V) * s = find_successor(t);
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| 75 | tree(K, V) * parent = s->parent;
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| 76 |
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| 77 | if (parent->left == s){
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| 78 | parent->left = s->right;
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| 79 | } else {
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| 80 | assert(parent->right == s);
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| 81 | parent->right = s->right;
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| 82 | }
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| 83 | setParent(s->right, parent);
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| 84 | node_swap(t, s);
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| 85 | deleteSingleNode(s);
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| 86 | return t;
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| 87 | }
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| 88 | }
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| 89 |
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| 90 | // finds the node that needs to be removed
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| 91 | forall(otype K | Comparable(K), otype V)
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| 92 | tree(K, V) * remove_helper(tree(K, V) * t, K key, int * worked){
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| 93 | if (empty(t)){
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| 94 | // did not work because key was not found
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| 95 | // set the status variable and return
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| 96 | *worked = 1;
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| 97 | } else if (t->key == key) {
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| 98 | t = remove_node(t);
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| 99 | } else if (t->key < key){
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| 100 | t->right = remove_helper(t->right, key, worked);
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| 101 | } else {
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| 102 | // t->key > key
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| 103 | t->left = remove_helper(t->left, key, worked);
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| 104 | }
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| 105 | // try to fix after deleting
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| 106 | if (! empty(t)) {
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| 107 | t = tryFix(t);
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| 108 | }
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| 109 | return t;
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| 110 | }
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| 111 |
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| 112 | forall(otype K | Comparable(K), otype V)
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| 113 | int remove(tree(K, V) ** t, K key){
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| 114 | int worked = 0;
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| 115 | tree(K, V) * newTree = remove_helper(*t, key, &worked);
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| 116 | *t = newTree;
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| 117 | return worked;
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| 118 | }
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