org.apache.commons.math3
Interface Field<T>

Type Parameters:

T - the type of the field elements

All Known Implementing Classes:

BigFractionField, BigRealField, ComplexField, Decimal64Field, DfpField, FractionField

public interface Field<T>

Interface representing a field.

Classes implementing this interface will often be singletons.

Since:

2.0

Version:

$Id: Field.java 3720 2012-03-16 16:34:17Z CardosoP $

See Also:

FieldElement

Method Summary

T	getOne() Get the multiplicative identity of the field.
Class<? extends FieldElement<T>>	getRuntimeClass() Returns the runtime class of the FieldElement.
T	getZero() Get the additive identity of the field.

Method Detail

getZero

T getZero()

Get the additive identity of the field.

The additive identity is the element e₀ of the field such that for all elements a of the field, the equalities a + e₀ = e₀ + a = a hold.

Returns:

additive identity of the field

getOne

T getOne()

Get the multiplicative identity of the field.

The multiplicative identity is the element e₁ of the field such that for all elements a of the field, the equalities a × e₁ = e₁ × a = a hold.

Returns:

multiplicative identity of the field

getRuntimeClass

Class<? extends FieldElement<T>> getRuntimeClass()

Returns the runtime class of the FieldElement.

Returns:

The Class object that represents the runtime class of this object.