Field (Apache Commons Numbers Field 1.1 API)

Type Parameters:

T - Type of the field elements.

All Known Implementing Classes:

AbstractField, BigFractionField, FP64Field, FractionField
```
public interface Field<T>
```
Interface representing a field.

Method Summary

All Methods Instance Methods Abstract Methods
Modifier and Type	Method	Description
`T`	`add(T a, T b)`
`T`	`divide(T a, T b)`
`T`	`multiply(int n, T a)`
`T`	`multiply(T a, T b)`
`T`	`negate(T a)`
`T`	`one()`
`T`	`reciprocal(T a)`
`T`	`subtract(T a, T b)`
`T`	`zero()`

- Method Detail
  - add
```
T add(T a,
      T b)
```
    Parameters:
    
    a - Field element.
    
    b - Field element.
    
    Returns:
    
    a + b.
  - subtract
```
T subtract(T a,
           T b)
```
    Parameters:
    
    a - Field element.
    
    b - Field element.
    
    Returns:
    
    a - b.
  - negate
```
T negate(T a)
```
    Parameters:
    
    a - Field element.
    
    Returns:
    
    -a.
  - multiply
```
T multiply(int n,
           T a)
```
    Parameters:
    
    a - Field element.
    
    n - Number of times a must be added to itself.
    
    Returns:
    
    n a.
  - multiply
```
T multiply(T a,
           T b)
```
    Parameters:
    
    a - Field element.
    
    b - Field element.
    
    Returns:
    
    a * b.
  - divide
```
T divide(T a,
         T b)
```
    Parameters:
    
    a - Field element.
    
    b - Field element.
    
    Returns:
    
    a * b^-1.
  - reciprocal
```
T reciprocal(T a)
```
    Parameters:
    
    a - Field element.
    
    Returns:
    
    a^-1.
  - one
```
T one()
```
    Returns:
    
    the field element 1 such that for all a, 1 * a == a.
  - zero
```
T zero()
```
    Returns:
    
    the field element 0 such that for all a, 0 + a == a.