org.hipparchus

Interface FieldElement<T>

Type Parameters:

T - the type of the field elements

All Known Subinterfaces:

CalculusFieldElement<T>, Derivative<T>, FieldDerivative<S,T>, RealFieldElement<T>

All Known Implementing Classes:

BigFraction, BigReal, Complex, Decimal64, DerivativeStructure, Dfp, DfpDec, FieldDerivativeStructure, FieldGradient, FieldTuple, FieldUnivariateDerivative, FieldUnivariateDerivative1, FieldUnivariateDerivative2, Fraction, Gradient, SparseGradient, Tuple, UnivariateDerivative, UnivariateDerivative1, UnivariateDerivative2

public interface FieldElement<T>

Interface representing field elements.

See Also:

Field

Method Summary

Modifier and Type	Method and Description
T	add(T a) Compute this + a.
T	divide(T a) Compute this ÷ a.
Field<T>	getField() Get the Field to which the instance belongs.
default boolean	isZero() Check if an element is semantically equal to zero.
T	multiply(int n) Compute n × this.
T	multiply(T a) Compute this × a.
T	negate() Returns the additive inverse of this element.
T	reciprocal() Returns the multiplicative inverse of this element.
T	subtract(T a) Compute this - a.

Method Detail

add

T add(T a)
throws NullArgumentException

Compute this + a.

Parameters:

a - element to add

Returns:

a new element representing this + a

Throws:

NullArgumentException - if a is null.

subtract

T subtract(T a)
    throws NullArgumentException

Compute this - a.

Parameters:

a - element to subtract

Returns:

a new element representing this - a

Throws:

NullArgumentException - if a is null.

negate

T negate()

Returns the additive inverse of this element.

Returns:

the opposite of this.

multiply

T multiply(int n)

Compute n × this. Multiplication by an integer number is defined as the following sum n × this = ∑_i=1ⁿ this.

Parameters:

n - Number of times this must be added to itself.

Returns:

A new element representing n × this.

multiply

T multiply(T a)
    throws NullArgumentException

Compute this × a.

Parameters:

a - element to multiply

Returns:

a new element representing this × a

Throws:

NullArgumentException - if a is null.

divide

T divide(T a)
  throws NullArgumentException,
         MathRuntimeException

Compute this ÷ a.

Parameters:

a - element to divide by

Returns:

a new element representing this ÷ a

Throws:

NullArgumentException - if a is null.

MathRuntimeException - if a is zero

reciprocal

T reciprocal()
      throws MathRuntimeException

Returns the multiplicative inverse of this element.

Returns:

the inverse of this.

Throws:

MathRuntimeException - if this is zero

getField

Field<T> getField()

Get the Field to which the instance belongs.

Returns:

Field to which the instance belongs

isZero

default boolean isZero()

Check if an element is semantically equal to zero.

The default implementation simply calls equals(getField().getZero()). However, this may need to be overridden in some cases as due to compatibility with hashCode() some classes implements equals(Object) in such a way that -0.0 and +0.0 are different, which may be a problem. It prevents for example identifying a diagonal element is zero and should be avoided when doing partial pivoting in LU decomposition.

Returns:

true if the element is semantically equal to zero

Since:

1.8