## Interface FieldElement<T>

• Type Parameters:
`T` - the type of the field elements
All Known Subinterfaces:
`RealFieldElement<T>`
All Known Implementing Classes:
`BigFraction`, `BigReal`, `Complex`, `Decimal64`, `DerivativeStructure`, `Dfp`, `DfpDec`, `FieldDerivativeStructure`, `FieldTuple`, `Fraction`, `SparseGradient`, `Tuple`

`public interface FieldElement<T>`
Interface representing field elements.
`Field`
• ### Method Summary

All Methods
Modifier and Type Method 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.
`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

```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