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Trees.java
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223 lines (193 loc) · 5.26 KB
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/**
* Main class.
*/
class TreeTest {
public static void main(String[] args) {
System.out.println(((new Test()).init()).test());
}
}
/**
* Ordered binary trees of integers with no duplicates.
* The empty tree is considered to be ordered.
* A non-empty tree is ordered if all values in the left sub-tree are less than
* the value at the top, all values in the right-sub-tree are greater than
* the value at the top, and both sub-trees are also ordered.
*/
class OrderedTree {
// the data for this tree, or null if this tree is empty
Node node;
/**
* Initialise a newly created tree to be empty.
* @return this tree after initialisation
*/
public OrderedTree init() {
return this;
}
/**
* Is this tree empty?
* @return true if this tree is empty
*/
public boolean isEmpty() {
return node == null;
}
/**
* Insert a value in order into the tree.
* If the tree already contains the given value, the tree is not modified (so
* trees will never contain duplicate values).
* @param v the value to insert
* @return true if the tree was modified
*/
public boolean insert(int v) {
if (isEmpty()) {
this.node = new Node().init(v);
return true;
} else if (v < node.getValue()) {
this.node.left.insert(v);
} else if (v > node.getValue()) {
this.node.right.insert(v);
}
return false;
}
/**
* The number of values in this tree.
* @return the number of values in this tree
*/
public int size() {
return size(this);
}
private int size(OrderedTree tree) {
if (tree.isEmpty()) {
return 0;
} else {
return (size(tree.node.getLeft()) + size(tree.node.getRight()) + 1);
}
}
/**
* An array containing the values in this tree in ascending order.
* @return the values in this tree in ascending order
*/
public int[] toArray() {
int size = size();
int[] array = new int[size];
if (size > 0){
addToArray(this, array, 0);
}
return array;
}
int addToArray(OrderedTree tree, int [] array, int pos) {
if (!tree.node.getLeft().isEmpty()) {
pos = addToArray(tree.node.getLeft(), array, pos);
}
array[pos++] = tree.node.getValue();
if (!tree.node.getRight().isEmpty()) {
pos = addToArray(tree.node.getRight(), array, pos);
}
return pos;
}
/**
* Build a new ordered tree containing all the values from an array, minus
* any duplicates.
* Note: this method does not use or modify the target tree, so it could
* be a static method (but MiniJava does not support static methods).
* @param array the array of values
* @return a new ordered tree containing all the values, minus any
* duplicates
*/
public OrderedTree fromArray(int[] array) {
OrderedTree tree = new OrderedTree().init();
for (int v : array) {
tree.insert(v);
}
return tree;
}
}
/**
* Data and methods to test the OrderedTree class.
*/
class Test {
int[] testArray;
/**
* Initialise the test data.
* @return this Test object after initialisation
*/
public Test init() {
testArray = new int[5];
testArray[0] = 23;
testArray[1] = 0 - 7;
testArray[2] = 1381;
testArray[3] = 59;
testArray[4] = 0 - 79;
return this;
}
/**
* Print all the values in an array in order from left to right, each value
* on a separate line.
* @param a the array
* @return 999
*/
public int printArray(int[] a) {
int i;
i = 0;
while (i < (a.length)) {
System.out.println(a[i]);
i = i + 1;
}
return 999;
}
/**
* Carry out some tests.
* @return whatever is appropriate for the test
*/
public int test() {
int[] sorted;
OrderedTree tree;
tree = (new OrderedTree()).fromArray(testArray);
sorted = tree.toArray();
return this.printArray(sorted);
}
}
/**
* Nodes in an ordered tree of integers.
* DO NOT MODIFY THIS CLASS.
*/
class Node {
// the value stored in this node
int value;
// the left and right sub-trees
OrderedTree left;
OrderedTree right;
/**
* Initialise a newly created node with a specified value and
* empty sub-trees.
*
* @param v the value
* @return this node after initialisation
*/
public Node init(int v) {
value = v;
left = new OrderedTree();
right = new OrderedTree();
return this;
}
/**
* The value stored in this node.
* @return the value
*/
public int getValue() {
return value;
}
/**
* The left sub-tree of this node.
* @return the left sub-tree
*/
public OrderedTree getLeft() {
return left;
}
/**
* The right sub-tree of this node.
* @return the right sub-tree
*/
public OrderedTree getRight() {
return right;
}
}