Package org.apache.commons.numbers.field

Interface Field<T>

    • Method Summary

      All Methods Instance Methods Abstract Methods 
      Modifier and Type Method Description
      T add​(T a, T b)
      Add the elements.
      T divide​(T a, T b)
      Divide the element a by b.
      T multiply​(int n, T a)
      Multiply the element a by a specified number of times n.
      T multiply​(T a, T b)
      Multiply the elements.
      T negate​(T a)
      Negate the element.
      T one()
      Return the value of one.
      T reciprocal​(T a)
      Return the reciprocal (multiplicative inverse).
      T subtract​(T a, T b)
      Subtract the element b from a.
      T zero()
      Return the value of zero.

    • Method Detail

      • add

        T add​(T a,
      T b)
        Add the elements.
        Parameters:
        a - Field element.
        b - Field element.
        Returns:
        a + b.

      • subtract

        T subtract​(T a,
           T b)
        Subtract the element b from a.
        Parameters:
        a - Field element.
        b - Field element.
        Returns:
        a - b.

      • negate

        T negate​(T a)
        Negate the element.
        Parameters:
        a - Field element.
        Returns:
        -a.

      • multiply

        T multiply​(int n,
           T a)
        Multiply the element a by a specified number of times n.
        Parameters:
        a - Field element.
        n - Number of times a must be added to itself.
        Returns:
        n a.

      • multiply

        T multiply​(T a,
           T b)
        Multiply the elements.
        Parameters:
        a - Field element.
        b - Field element.
        Returns:
        a * b.

      • divide

        T divide​(T a,
         T b)
        Divide the element a by b.
        Parameters:
        a - Field element.
        b - Field element.
        Returns:
        a * b-1.

      • reciprocal

        T reciprocal​(T a)
        Return the reciprocal (multiplicative inverse).
        Parameters:
        a - Field element.
        Returns:
        a-1.

      • one

        T one()
        Return the value of one.
        Returns:
        the field element 1 such that for all a, 1 * a == a.

      • zero

        T zero()
        Return the value of zero.
        Returns:
        the field element 0 such that for all a, 0 + a == a.