Tuesday 14 February 2017

Chapter 27 Exercise 2, Introduction to Java Programming, Tenth Edition Y. Daniel LiangY.

27.2 (Implement MyMap using open addressing with quadratic probing) Create a new concrete class that implements MyMap using open addressing with quadratic probing. For simplicity, use f(key) = key % size as the hash function, where size is the hash-table size. Initially, the hash-table size is 4 . The table size is doubled whenever the load factor exceeds the threshold ( 0.5 ).


public class Exercise02 {

 public static void main(String[] args) {
  MyMap<String, Integer> map = new MyHashMap<String, Integer>();
  map.put("Smith", 30);
  map.put("Anderson", 31);
  map.put("Lewis", 29);
  map.put("Cook", 29);
  map.put("Smith", 65);

  System.out.println("Entries in map: " + map);

  System.out.println("The age for " + "Lewis is " + map.get("Lewis"));

  System.out.println("Is Smith in the map? " + map.containsKey("Smith"));
  System.out.println("Is age 33 in the map? " + map.containsValue(33));

  map.remove("Smith");
  System.out.println("Entries in map: " + map);

  map.clear();
  System.out.println("Entries in map: " + map);
 }

 static class MyHashMap<K, V> implements MyMap<K, V> {
  // Define the default hash table size. Must be a power of 2
  private static int DEFAULT_INITIAL_CAPACITY = 4;

  // Define the maximum hash table size. 1 << 30 is same as 2^30
  private static int MAXIMUM_CAPACITY = 1 << 30;

  // Current hash table capacity. Capacity is a power of 2
  private int capacity;

  // Define default load factor
  private static float DEFAULT_MAX_LOAD_FACTOR = 0.5f;

  // Specify a load factor used in the hash table
  private float loadFactorThreshold;

  // The number of entries in the map
  private int size = 0;

  // Hash table is an array with each cell that is a linked list
  MyMap.Entry<K, V>[] table;

  /** Construct a map with the default capacity and load factor */
  public MyHashMap() {
   this(DEFAULT_INITIAL_CAPACITY, DEFAULT_MAX_LOAD_FACTOR);
  }

  /**
   * Construct a map with the specified initial capacity and default load
   * factor
   */
  public MyHashMap(int initialCapacity) {
   this(initialCapacity, DEFAULT_MAX_LOAD_FACTOR);
  }

  /**
   * Construct a map with the specified initial capacity and load factor
   */
  @SuppressWarnings("unchecked")
  public MyHashMap(int initialCapacity, float loadFactorThreshold) {
   if (initialCapacity > MAXIMUM_CAPACITY)
    this.capacity = MAXIMUM_CAPACITY;
   else
    this.capacity = trimToPowerOf2(initialCapacity);

   this.loadFactorThreshold = loadFactorThreshold;
   table = new MyMap.Entry[capacity];
  }

  @Override
  /** Remove all of the entries from this map */
  public void clear() {
   size = 0;
   removeEntries();
  }

  @Override
  /** Return true if the specified key is in the map */
  public boolean containsKey(K key) {
   int i = hash(key.hashCode());
   int startI = i;
   int j = 1;
   while (table[i] != null) {
    if (table[i].getKey().equals(key))
     return true;
    i = (startI + j * j) % capacity;
    j++;
   }

   return false;
  }

  @Override
  /** Return true if this map contains the value */
  public boolean containsValue(V value) {
   for (int i = 0; i < capacity; i++) {
    if (table[i] != null) {
     if (table[i].getValue().equals(value))
      return true;
    }
   }

   return false;
  }

  @Override
  /** Return a set of entries in the map */
  public java.util.Set<MyMap.Entry<K, V>> entrySet() {
   java.util.Set<MyMap.Entry<K, V>> set = new java.util.HashSet<MyMap.Entry<K, V>>();

   for (int i = 0; i < capacity; i++) {
    if (table[i] != null) {
     set.add(table[i]);
    }
   }

   return set;
  }

  @Override
  /** Return the value that matches the specified key */
  public V get(K key) {
   int i = hash(key.hashCode());
   int startI = i;
   int j = 1;
   while (table[i] != null) {
    if (table[i].getKey().equals(key))
     return table[i].getValue();
    i = (startI + j * j) % capacity;
    j++;
   }

   return null;
  }

  @Override
  /** Return true if this map contains no entries */
  public boolean isEmpty() {
   return size == 0;
  }

  @Override
  /** Return a set consisting of the keys in this map */
  public java.util.Set<K> keySet() {
   java.util.Set<K> set = new java.util.HashSet<K>();

   for (int i = 0; i < capacity; i++) {
    if (table[i] != null) {
     set.add(table[i].getKey());
    }
   }

   return set;
  }

  @Override
  /** Add an entry (key, value) into the map */
  public V put(K key, V value) {
   if (get(key) != null) { // The key is already in the map
    int i = hash(key.hashCode());
    int startI = i;
    int j = 1;
    while (table[i] != null) {
     if (table[i].getKey().equals(key)) {
      V oldValue = table[i].getValue();
      table[i].value = value;
      return oldValue;
     }
     i = (startI + j * j) % capacity;
     j++;
    }
   }
   
   
   // Check load factor
   if (size >= capacity * loadFactorThreshold) {
    if (capacity == MAXIMUM_CAPACITY)
     throw new RuntimeException("Exceeding maximum capacity");

    rehash();
   }

   int i = hash(key.hashCode());
   int startI = i;
   int j = 1;

   while (table[i] != null) {
    i = (startI + j * j) % capacity;
    j++;
   }
   table[i] = new MyMap.Entry<K, V>(key, value);
   size++;
   return value;
  }

  @Override
  /** Remove the entries for the specified key */
  public void remove(K key) {
   int i = hash(key.hashCode());
   int startI = i;
   int j = 1;
   while (table[i] != null) {
    if (table[i].getKey().equals(key)) {
     size--;
     table[i] = null;     
    }
    i = (startI + j * j) % capacity;
    j++;
   }
  }

  @Override
  /** Return the number of entries in this map */
  public int size() {
   return size;
  }

  @Override
  /** Return a set consisting of the values in this map */
  public java.util.Set<V> values() {
   java.util.Set<V> set = new java.util.HashSet<V>();

   for (int i = 0; i < capacity; i++) {
    if (table[i] != null) {
     set.add(table[i].getValue());
    }
   }

   return set;
  }

  /** Hash function */
  private int hash(int hashCode) {
   return supplementalHash(hashCode) & (capacity - 1);
  }

  /** Ensure the hashing is evenly distributed */
  private static int supplementalHash(int h) {
   h ^= (h >>> 20) ^ (h >>> 12);
   return h ^ (h >>> 7) ^ (h >>> 4);
  }

  /** Return a power of 2 for initialCapacity */
  private int trimToPowerOf2(int initialCapacity) {
   int capacity = 1;
   while (capacity < initialCapacity) {
    capacity <<= 1;
   }

   return capacity;
  }

  /** Remove all entries from each bucket */
  private void removeEntries() {
   for (int i = 0; i < capacity; i++) {
    if (table[i] != null) {
     table[i] = null;
    }
   }
  }

  /** Rehash the map */
  @SuppressWarnings("unchecked")
  private void rehash() {
   java.util.Set<Entry<K, V>> set = entrySet(); // Get entries
   capacity <<= 1; // Double capacity
   table = new MyMap.Entry[capacity];
   size = 0; // Reset size to 0

   for (Entry<K, V> entry : set) {
    put(entry.getKey(), entry.getValue()); // Store to new table
   }
  }

  @Override
  public String toString() {
   StringBuilder builder = new StringBuilder("[");

   for (int i = 0; i < capacity; i++) {
    if (table[i] != null)
     builder.append(table[i]);
   }

   builder.append("]");
   return builder.toString();
  }
 }

 interface MyMap<K, V> {
  /** Remove all of the entries from this map */
  public void clear();

  /** Return true if the specified key is in the map */
  public boolean containsKey(K key);

  /** Return true if this map contains the specified value */
  public boolean containsValue(V value);

  /** Return a set of entries in the map */
  public java.util.Set<Entry<K, V>> entrySet();

  /** Return the first value that matches the specified key */
  public V get(K key);

  /** Return true if this map contains no entries */
  public boolean isEmpty();

  /** Return a set consisting of the keys in this map */
  public java.util.Set<K> keySet();

  /** Add an entry (key, value) into the map */
  public V put(K key, V value);

  /** Remove the entries for the specified key */
  public void remove(K key);

  /** Return the number of mappings in this map */
  public int size();

  /** Return a set consisting of the values in this map */
  public java.util.Set<V> values();

  /** Define inner class for Entry */
  public static class Entry<K, V> {
   K key;
   V value;

   public Entry(K key, V value) {
    this.key = key;
    this.value = value;
   }

   public K getKey() {
    return key;
   }

   public V getValue() {
    return value;
   }

   @Override
   public String toString() {
    return "[" + key + ", " + value + "]";
   }
  }
 }

}

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