org.hipparchus.analysis.differentiation

Class UnivariateDerivative<T extends UnivariateDerivative<T>>

java.lang.Object

org.hipparchus.analysis.differentiation.UnivariateDerivative<T>

Type Parameters:

T - the type of the function derivative

All Implemented Interfaces:

Serializable, Derivative<T>, CalculusFieldElement<T>, FieldElement<T>, RealFieldElement<T>

Direct Known Subclasses:

UnivariateDerivative1, UnivariateDerivative2

public abstract class UnivariateDerivative<T extends UnivariateDerivative<T>>
extends Object
implements Derivative<T>, RealFieldElement<T>, Serializable

Abstract class representing both the value and the differentials of a function.

Since:

1.7

See Also:

Serialized Form

Field Summary

Fields inherited from interface org.hipparchus.CalculusFieldElement

DEG_TO_RAD, RAD_TO_DEG

Constructor Summary

Constructors

Constructor and Description
UnivariateDerivative()

Method Summary

Modifier and Type	Method and Description
abstract double	getDerivative(int n) Get a derivative from the univariate derivative.
int	getFreeParameters() Get the number of free parameters.
double	getPartialDerivative(int... orders) Get a partial derivative.
abstract DerivativeStructure	toDerivativeStructure() Convert the instance to a DerivativeStructure.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.hipparchus.analysis.differentiation.Derivative

getOrder, getValue

Methods inherited from interface org.hipparchus.RealFieldElement

abs, round

Methods inherited from interface org.hipparchus.CalculusFieldElement

acos, acosh, add, asin, asinh, atan, atan2, atanh, cbrt, ceil, copySign, copySign, cos, cosh, divide, exp, expm1, floor, getExponent, getReal, hypot, isInfinite, isNaN, linearCombination, linearCombination, linearCombination, linearCombination, linearCombination, linearCombination, linearCombination, linearCombination, log, log10, log1p, multiply, newInstance, pow, pow, pow, reciprocal, remainder, remainder, rint, rootN, scalb, signum, sin, sinCos, sinh, sqrt, subtract, tan, tanh, toDegrees, toRadians

Methods inherited from interface org.hipparchus.FieldElement

add, divide, getField, isZero, multiply, multiply, negate, subtract

Constructor Detail

UnivariateDerivative

public UnivariateDerivative()

Method Detail

getFreeParameters

public int getFreeParameters()

Get the number of free parameters.

Specified by:

getFreeParameters in interface Derivative<T extends UnivariateDerivative<T>>

Returns:

number of free parameters

getPartialDerivative

public double getPartialDerivative(int... orders)
                            throws MathIllegalArgumentException

Get a partial derivative.

Specified by:

getPartialDerivative in interface Derivative<T extends UnivariateDerivative<T>>

Parameters:

orders - derivation orders with respect to each variable (if all orders are 0, the value is returned)

Returns:

partial derivative

Throws:

MathIllegalArgumentException - if the numbers of variables does not match the instance

See Also:

Derivative.getValue()

getDerivative

public abstract double getDerivative(int n)
                              throws MathIllegalArgumentException

Get a derivative from the univariate derivative.

Parameters:

n - derivation order (must be between 0 and Derivative.getOrder(), both inclusive)

Returns:

n^th derivative

Throws:

MathIllegalArgumentException - if n is either negative or strictly larger than Derivative.getOrder()

toDerivativeStructure

public abstract DerivativeStructure toDerivativeStructure()

Convert the instance to a DerivativeStructure.

Returns:

derivative structure with same value and derivative as the instance