nilgiri.math.autodiff
Class Inverse<X extends Field<X>>

java.lang.Object
  nilgiri.math.autodiff.DifferentialFunction<X>
      nilgiri.math.autodiff.AbstractUnaryFunction<X>
          nilgiri.math.autodiff.Inverse<X>

Type Parameters:

X - A set forms a field.

All Implemented Interfaces:

Differential<Variable<X>,DifferentialFunction<X>>, CommutativeGroup<DifferentialFunction<X>>, CommutativeRing<DifferentialFunction<X>>, Field<DifferentialFunction<X>>, Group<DifferentialFunction<X>>, Ring<DifferentialFunction<X>>

public class Inverse<X extends Field<X>>
extends AbstractUnaryFunction<X>

This class represents the inverse element of an argument in X with respect to multiplication.

Constructor Summary

Inverse(DifferentialFunction<X> i_v)
Constructs an object whose value is (1 / i_v).

Method Summary

DifferentialFunction<X>	diff(Variable<X> i_v) Returns an object of D whose value is the derivative with respect to i_v.
X	getValue() Returns the value in X of the function.
DifferentialFunction<X>	inverse() Returns an object of X whose value is (1 / this).
java.lang.String	toString()

Methods inherited from class nilgiri.math.autodiff.AbstractUnaryFunction

arg

Methods inherited from class nilgiri.math.autodiff.DifferentialFunction

div, isConstant, isVariable, minus, mul, mul, negate, plus, pow

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

Inverse

public Inverse(DifferentialFunction<X> i_v)

Constructs an object whose value is (1 / i_v).

Parameters:

i_v -

Method Detail

getValue

public X getValue()

Description copied from class: DifferentialFunction

Returns the value in X of the function.

Specified by:

getValue in class DifferentialFunction<X extends Field<X>>

Returns:

the value.

diff

public DifferentialFunction<X> diff(Variable<X> i_v)

Description copied from interface: Differential

Returns an object of D whose value is the derivative with respect to i_v.

Specified by:

diff in interface Differential<Variable<X extends Field<X>>,DifferentialFunction<X extends Field<X>>>

Specified by:

diff in class DifferentialFunction<X extends Field<X>>

Returns:

the derivative with respect to i_v.

toString

public java.lang.String toString()

Specified by:

toString in class DifferentialFunction<X extends Field<X>>

inverse

public DifferentialFunction<X> inverse()

Description copied from interface: Field

Returns an object of X whose value is (1 / this).

Specified by:

inverse in interface Field<DifferentialFunction<X extends Field<X>>>

Overrides:

inverse in class DifferentialFunction<X extends Field<X>>

Returns:

1 / this