Package 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, Comparable<T>, Derivative<T>, DifferentialAlgebra, CalculusFieldElement<T>, FieldElement<T>

Direct Known Subclasses:

UnivariateDerivative1, UnivariateDerivative2

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

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

Since:

1.7

See Also:

• Serialized Form

Constructor Summary

Constructors

Modifier	Constructor	Description
protected	UnivariateDerivative()	Empty constructor.

Method Summary

Modifier and Type	Method	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.CalculusFieldElement

abs, acosh, asin, asinh, atan, atan2, atanh, cbrt, ceil, copySign, copySign, cos, divide, divide, exp, expm1, floor, getAddendum, getPi, hypot, isFinite, isInfinite, isNaN, linearCombination, linearCombination, linearCombination, linearCombination, linearCombination, linearCombination, linearCombination, linearCombination, log, log1p, multiply, multiply, newInstance, norm, pow, pow, remainder, rint, rootN, round, scalb, sign, sin, sinCos, sinhCosh, sqrt, square, subtract, tan, tanh, toDegrees, toRadians, ulp

Methods inherited from interface java.lang.Comparable

compareTo

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

acos, add, compose, cosh, getExponent, getReal, getValue, log10, pow, remainder, sinh, subtract, withValue

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

getOrder

Methods inherited from interface org.hipparchus.FieldElement

add, getField, isZero, multiply, negate, reciprocal

Constructor Details

UnivariateDerivative

protected UnivariateDerivative()

Empty constructor.

This constructor is not strictly necessary, but it prevents spurious javadoc warnings with JDK 18 and later.

Since:

3.0

Method Details

getFreeParameters

public int getFreeParameters()

Get the number of free parameters.

Specified by:

getFreeParameters in interface DifferentialAlgebra

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

MathIllegalArgumentException - if sum of derivation orders is larger than the instance limits

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 DifferentialAlgebra.getOrder(), both inclusive)

Returns:

n^th derivative

Throws:

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

toDerivativeStructure

public abstract DerivativeStructure toDerivativeStructure()

Convert the instance to a DerivativeStructure.

Returns:

derivative structure with same value and derivative as the instance