1 | #ifndef AVL_TREE_H |
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2 | #define AVL_TREE_H |
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3 | |
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4 | extern "C" { |
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5 | #define NULL 0 |
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6 | void free(void *); |
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7 | #define assert(cond) if (! (cond)) { printf("Assertion failed: (%s) at %s:%d\n", #cond, __FILE__, __LINE__); abort(); } |
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8 | void abort(); |
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9 | int printf(const char *, ...); |
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10 | } |
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11 | |
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12 | // #include <types.h> |
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13 | // #include <lib.h> |
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14 | |
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15 | trait Comparable(otype T) { |
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16 | int ?<?(T, T); |
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17 | }; |
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18 | |
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19 | forall(otype T | Comparable(T)) |
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20 | int ?==?(T t1, T t2); |
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21 | |
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22 | forall(otype T | Comparable(T)) |
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23 | int ?>?(T t1, T t2); |
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24 | |
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25 | forall(dtype T | { void ^?{}(T *); }) |
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26 | void delete(T * x); |
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27 | |
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28 | // To-do: properly use height or balance factor |
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29 | // Right now I'm recomputing the height for each |
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30 | // node multiple times. It's Theta-log(n), but still.. |
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31 | |
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32 | // Balanced Binary Search Tree of void pointers; almost an AVL tree - |
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33 | // just needs to make use of the balance factor properly |
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34 | // Operations: |
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35 | // ?{}, ^?{} |
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36 | // create - allocate a new tree. Just a wrapper around malloc which also calls the tree constructor. |
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37 | // find - search through the tree for the given key; return the associated value |
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38 | // empty - return true if the tree is empty |
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39 | // insert - insert node with key and value pair. Returns 0 on success |
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40 | // remove - remove node with the given key, returns 0 on success, 1 on failure |
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41 | // copy - deep copy of a tree |
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42 | // for_each - applies the given function to every data element in the tree |
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43 | // assumes that a non-zero return value is an error, will return |
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44 | // the error code from func |
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45 | |
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46 | // temporary: need forward decl to get around typedef problem |
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47 | forall(otype K | Comparable(K), otype V) |
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48 | struct tree; |
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49 | |
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50 | forall(otype K | Comparable(K), otype V) |
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51 | struct tree { |
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52 | K key; |
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53 | V value; |
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54 | tree(K, V) * parent; |
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55 | tree(K, V) * left; |
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56 | tree(K, V) * right; |
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57 | int balance; |
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58 | }; |
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59 | |
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60 | forall(otype K | Comparable(K), otype V) |
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61 | void ?{}(tree(K, V) *t, K key, V value); |
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62 | |
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63 | forall(otype K | Comparable(K), otype V) |
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64 | void ^?{}(tree(K, V) * t); |
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65 | |
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66 | forall(otype K | Comparable(K), otype V) |
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67 | tree(K, V) * create(K key, V value); |
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68 | |
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69 | forall(otype K | Comparable(K), otype V) |
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70 | V * find(tree(K, V) * t, K key); |
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71 | |
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72 | forall(otype K | Comparable(K), otype V) |
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73 | int empty(tree(K, V) * t); |
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74 | |
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75 | // returns the root of the tree |
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76 | forall(otype K | Comparable(K), otype V) |
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77 | int insert(tree(K, V) ** t, K key, V value); |
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78 | |
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79 | forall(otype K | Comparable(K), otype V) |
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80 | int remove(tree(K, V) ** t, K key); |
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81 | |
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82 | forall(otype K | Comparable(K), otype V) |
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83 | void copy(tree(K, V) * src, tree(K, V) ** ret); |
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84 | |
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85 | forall(otype K | Comparable(K), otype V) |
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86 | void for_each(tree(K, V) * t, void (*func)(V)); |
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87 | |
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88 | // // Helper function to print trees |
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89 | // forall(otype K | Comparable(K), otype V) |
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90 | // void printTree(tree * t, int level){ |
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91 | // if (empty(t)){ |
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92 | // return; |
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93 | // } |
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94 | |
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95 | // printTree(t->left, level+1); |
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96 | // printf("key: %d, value: %s, level: %d\n", t->key, t->value, level); |
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97 | // printTree(t->right, level+1); |
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98 | // } |
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99 | |
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100 | // // inorder traversal of t |
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101 | // // prints each key, followed by the value |
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102 | // forall(otype K | Comparable(K), otype V) |
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103 | // void printTree(tree(K, V) * t){ |
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104 | // printTree(t, 0); |
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105 | // } |
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106 | |
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107 | |
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108 | #endif |
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