Package org.jheaps.monotone

Class BigIntegerRadixAddressableHeap<V>

java.lang.Object

org.jheaps.monotone.BigIntegerRadixAddressableHeap<V>

Type Parameters:

V - the type of values maintained by this heap

All Implemented Interfaces:

Serializable, AddressableHeap<BigInteger,V>

public class BigIntegerRadixAddressableHeap<V>
extends Object

An addressable radix heap for BigInteger keys. The heap stores BigInteger keys sorted according to the natural ordering of its keys. A radix heap is a monotone heap, especially designed for algorithms (such as Dijkstra) which scan elements in order of nondecreasing keys.

The implementation use arrays in order to store the elements. Operations insert and findMin are worst-case constant time. The cost of operation deleteMin is amortized O(logC) assuming the radix-heap contains keys in the range [0, C] or equivalently [a,a+C].

Note that this implementation is not synchronized. If multiple threads access a heap concurrently, and at least one of the threads modifies the heap structurally, it must be synchronized externally. (A structural modification is any operation that adds or deletes one or more elements or changing the key of some element.) This is typically accomplished by synchronizing on some object that naturally encapsulates the heap.

Author:

Dimitrios Michail

See Also:

• AddressableHeap
• Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from interface org.jheaps.AddressableHeap

AddressableHeap.Handle<K,V>

Constructor Summary

Constructors

Constructor	Description
BigIntegerRadixAddressableHeap(BigInteger minKey, BigInteger maxKey)	Constructs a new heap which can store values between a minimum and a maximum key value (inclusive).

Method Summary

Modifier and Type	Method	Description
void	clear()	Clear all the elements of the heap.
Comparator<? super BigInteger>	comparator()	Always returns null since this heap uses the natural ordering of its keys.
AddressableHeap.Handle<BigInteger,V>	deleteMin()	Delete and return an element with the minimum key.
AddressableHeap.Handle<BigInteger,V>	findMin()	Find an element with the minimum key.
AddressableHeap.Handle<BigInteger,V>	insert(BigInteger key)	Insert a new element into the heap with a null value.
AddressableHeap.Handle<BigInteger,V>	insert(BigInteger key, V value)	Insert a new element into the heap.
boolean	isEmpty()	Returns true if this heap is empty.
long	size()	Returns the number of elements in the heap.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

BigIntegerRadixAddressableHeap

public BigIntegerRadixAddressableHeap(BigInteger minKey,
 BigInteger maxKey)

Constructs a new heap which can store values between a minimum and a maximum key value (inclusive). It is important to use the smallest key range as the heap uses O(logC) where C=maxKey-minKey+1 buckets to store elements. Moreover, the operation deleteMin requires amortized O(logC) time.

Parameters:

minKey - the non-negative minimum key that this heap supports (inclusive)

maxKey - the maximum key that this heap supports (inclusive)

Throws:

IllegalArgumentException - if the minimum key is negative

IllegalArgumentException - if the maximum key is less than the minimum key

Method Details

findMin

public AddressableHeap.Handle<BigInteger,V> findMin()

Find an element with the minimum key.

Specified by:

findMin in interface AddressableHeap<K,V>

Returns:

a handle to an element with minimum key

insert

public AddressableHeap.Handle<BigInteger,V> insert(BigInteger key)

Insert a new element into the heap with a null value.

Specified by:

insert in interface AddressableHeap<K,V>

Parameters:

key - the element's key

Returns:

a handle for the newly added element

Throws:

IllegalArgumentException - if the key is null

IllegalArgumentException - if the key is less than the minimum allowed key

IllegalArgumentException - if the key is more than the maximum allowed key

IllegalArgumentException - if the key is less than the last deleted key (or the minimum key allowed if no key has been deleted)

insert

public AddressableHeap.Handle<BigInteger,V> insert(BigInteger key,
 V value)

Insert a new element into the heap.

Specified by:

insert in interface AddressableHeap<K,V>

Parameters:

key - the element's key

value - the element's value

Returns:

a handle for the newly added element

Throws:

IllegalArgumentException - if the key is null

IllegalArgumentException - if the key is less than the minimum allowed key

IllegalArgumentException - if the key is more than the maximum allowed key

IllegalArgumentException - if the key is less than the last deleted key (or the minimum key allowed if no key has been deleted)

deleteMin

public AddressableHeap.Handle<BigInteger,V> deleteMin()

Delete and return an element with the minimum key. If multiple such elements exists, only one of them will be deleted. After the element is deleted the handle is invalidated and only method AddressableHeap.Handle.getKey() and AddressableHeap.Handle.getValue() can be used. The cost of this operation is amortized O(logC) assuming the heap contains keys in the range [0, C] or equivalently [a, a+C].

Specified by:

deleteMin in interface AddressableHeap<K,V>

Returns:

a handle to the deleted element with minimum key

isEmpty

public boolean isEmpty()

Returns true if this heap is empty.

Specified by:

isEmpty in interface AddressableHeap<K,V>

Returns:

true if this heap is empty, false otherwise

size

public long size()

Returns the number of elements in the heap.

Specified by:

size in interface AddressableHeap<K,V>

Returns:

the number of elements in the heap

clear

public void clear()

Clear all the elements of the heap. After calling this method all handles should be considered invalidated and the behavior of methods AddressableHeap.Handle.decreaseKey(Object) and AddressableHeap.Handle.delete() is undefined.

Specified by:

clear in interface AddressableHeap<K,V>

comparator

public Comparator<? super BigInteger> comparator()

Always returns null since this heap uses the natural ordering of its keys.

Specified by:

comparator in interface AddressableHeap<K,V>

Returns:

null since this heap uses the natural ordering of its keys