Package de.tilman_neumann.jml.partitions

Class IntegerPartition

java.lang.Object

java.util.AbstractMap<K,V>

java.util.TreeMap<T,Integer>

org.matheclipse.core.numbertheory.SortedMultiset_BottomUp<Integer>

de.tilman_neumann.jml.partitions.IntegerPartition

All Implemented Interfaces:

Serializable, Cloneable, Comparable<SortedMultiset<Integer>>, Map<Integer,Integer>, NavigableMap<Integer,Integer>, SortedMap<Integer,Integer>, Multiset<Integer>, SortedMultiset<Integer>

public class IntegerPartition
extends SortedMultiset_BottomUp<Integer>

Integer partition, with nice String output.

Author:

Tilman Neumann

See Also:

Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class java.util.AbstractMap

AbstractMap.SimpleEntry<K extends Object,V extends Object>, AbstractMap.SimpleImmutableEntry<K extends Object,V extends Object>

Nested classes/interfaces inherited from interface java.util.Map

Map.Entry<K extends Object,V extends Object>

Constructor Summary

Constructors

Constructor	Description
IntegerPartition(int[] elements)	Constructor from flat element array.

Method Summary

Modifier and Type	Method	Description
BigInteger	getNumberOfRealizations()
int	sum()
String	toString()	Returns a sum-like representation of the additive multiset, with distinct keys separated by "+" and the multiplicity indicated by "*".

Methods inherited from class org.matheclipse.core.numbertheory.SortedMultiset_BottomUp

add, add, addAll, addAll, addAll, compareTo, equals, getBiggestElement, getSmallestElement, getTopDownIterator, hashCode, intersect, remove, remove, removeAll, toList, toString, totalCount

Methods inherited from class java.util.TreeMap

ceilingEntry, ceilingKey, clear, clone, comparator, containsKey, containsValue, descendingKeySet, descendingMap, entrySet, firstEntry, firstKey, floorEntry, floorKey, forEach, get, headMap, headMap, higherEntry, higherKey, keySet, lastEntry, lastKey, lowerEntry, lowerKey, navigableKeySet, pollFirstEntry, pollLastEntry, put, putAll, replace, replace, replaceAll, size, subMap, subMap, tailMap, tailMap, values

Methods inherited from class java.util.AbstractMap

isEmpty

Methods inherited from class java.lang.Object

finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface java.util.Map

clear, compute, computeIfAbsent, computeIfPresent, containsKey, containsValue, forEach, get, getOrDefault, isEmpty, merge, put, putAll, putIfAbsent, remove, replace, replace, replaceAll, size

Methods inherited from interface org.matheclipse.core.numbertheory.Multiset

get, keySet, size

Methods inherited from interface java.util.SortedMap

comparator, firstKey, keySet, lastKey, values

Methods inherited from interface org.matheclipse.core.numbertheory.SortedMultiset

entrySet

Constructor Detail

IntegerPartition

public IntegerPartition(int[] elements)

Constructor from flat element array.

Parameters:

elements -

Method Detail

sum

public int sum()

Returns:

the sum over all entries, taking into account their frequencies.

getNumberOfRealizations

public BigInteger getNumberOfRealizations()

Returns:

The number of ways to realize this partition.

toString

public String toString()

Returns a sum-like representation of the additive multiset, with distinct keys separated by "+" and the multiplicity indicated by "*".

Specified by:

toString in interface Multiset<Integer>

Overrides:

toString in class AbstractMap<Integer,Integer>