Uses of Interface
org.apache.commons.math4.legacy.core.RealFieldElement

Packages that use RealFieldElement

Package	Description
org.apache.commons.math4.legacy.analysis	Parent package for common numerical analysis procedures, including root finding, function interpolation and integration.
org.apache.commons.math4.legacy.analysis.differentiation	This package holds the main interfaces and basic building block classes dealing with differentiation.
org.apache.commons.math4.legacy.analysis.solvers	Root finding algorithms, for univariate real functions.
org.apache.commons.math4.legacy.core	Core math utilities.
org.apache.commons.math4.legacy.core.dfp	Decimal floating point library for Java
org.apache.commons.math4.legacy.ode	This package provides classes to solve Ordinary Differential Equations problems.
org.apache.commons.math4.legacy.ode.events	This package provides classes to handle discrete events occurring during Ordinary Differential Equations integration.
org.apache.commons.math4.legacy.ode.nonstiff	This package provides classes to solve non-stiff Ordinary Differential Equations problems.
org.apache.commons.math4.legacy.ode.sampling	This package provides classes to handle sampling steps during Ordinary Differential Equations integration.

Uses of RealFieldElement in org.apache.commons.math4.legacy.analysis

Classes in org.apache.commons.math4.legacy.analysis with type parameters of type RealFieldElement

Modifier and Type	Interface	Description
interface	RealFieldUnivariateFunction<T extends RealFieldElement<T>>	An interface representing a univariate real function.

Uses of RealFieldElement in org.apache.commons.math4.legacy.analysis.differentiation

Classes in org.apache.commons.math4.legacy.analysis.differentiation that implement RealFieldElement

Modifier and Type	Class	Description
class	DerivativeStructure	Class representing both the value and the differentials of a function.
class	SparseGradient	First derivative computation with large number of variables.

Uses of RealFieldElement in org.apache.commons.math4.legacy.analysis.solvers

Classes in org.apache.commons.math4.legacy.analysis.solvers with type parameters of type RealFieldElement

Modifier and Type	Interface	Description
interface	BracketedRealFieldUnivariateSolver<T extends RealFieldElement<T>>	Interface for (univariate real) root-finding algorithms that maintain a bracketed solution.
class	FieldBracketingNthOrderBrentSolver<T extends RealFieldElement<T>>	This class implements a modification of the Brent algorithm.

Uses of RealFieldElement in org.apache.commons.math4.legacy.core

Methods in org.apache.commons.math4.legacy.core with type parameters of type RealFieldElement

Modifier and Type	Method	Description
static <T extends RealFieldElement<T>> T	RealFieldElement.max(T e1, T e2)	Find the maximum of two field elements.
static <T extends RealFieldElement<T>> T	RealFieldElement.min(T e1, T e2)	Find the minimum of two field elements.

Uses of RealFieldElement in org.apache.commons.math4.legacy.core.dfp

Classes in org.apache.commons.math4.legacy.core.dfp that implement RealFieldElement

Modifier and Type	Class	Description
class	Dfp	Decimal floating point library for Java
class	DfpDec	Subclass of Dfp which hides the radix-10000 artifacts of the superclass.

Uses of RealFieldElement in org.apache.commons.math4.legacy.ode

Classes in org.apache.commons.math4.legacy.ode with type parameters of type RealFieldElement

Modifier and Type	Class	Description
class	AbstractFieldIntegrator<T extends RealFieldElement<T>>	Base class managing common boilerplate for all integrators.
class	ContinuousOutputFieldModel<T extends RealFieldElement<T>>	This class stores all information provided by an ODE integrator during the integration process and build a continuous model of the solution from this.
class	FieldEquationsMapper<T extends RealFieldElement<T>>	Class mapping the part of a complete state or derivative that pertains to a set of differential equations.
class	FieldExpandableODE<T extends RealFieldElement<T>>	This class represents a combined set of first order differential equations, with at least a primary set of equations expandable by some sets of secondary equations.
class	FieldODEState<T extends RealFieldElement<T>>	Container for time, main and secondary state vectors.
class	FieldODEStateAndDerivative<T extends RealFieldElement<T>>	Container for time, main and secondary state vectors as well as their derivatives.
interface	FieldSecondaryEquations<T extends RealFieldElement<T>>	This interface allows users to add secondary differential equations to a primary set of differential equations.
interface	FirstOrderFieldDifferentialEquations<T extends RealFieldElement<T>>	This interface represents a first order differential equations set.
interface	FirstOrderFieldIntegrator<T extends RealFieldElement<T>>	This interface represents a first order integrator for differential equations.
class	MultistepFieldIntegrator<T extends RealFieldElement<T>>	This class is the base class for multistep integrators for Ordinary Differential Equations.

Fields in org.apache.commons.math4.legacy.ode declared as RealFieldElement

Modifier and Type	Field	Description
protected T[]	MultistepFieldIntegrator.scaled	First scaled derivative (h y').

Methods in org.apache.commons.math4.legacy.ode that return RealFieldElement

Modifier and Type	Method	Description
T[]	AbstractFieldIntegrator.computeDerivatives(T t, T[] y)	Compute the derivatives and check the number of evaluations.
T[]	FieldExpandableODE.computeDerivatives(T t, T[] y)	Get the current time derivative of the complete state vector.
T[]	FieldSecondaryEquations.computeDerivatives(T t, T[] primary, T[] primaryDot, T[] secondary)	Compute the derivatives related to the secondary state parameters.
T[]	FirstOrderFieldDifferentialEquations.computeDerivatives(T t, T[] y)	Get the current time derivative of the state vector.
protected T[][]	FieldODEState.copy(Field<T> field, T[][] original)	Copy a two-dimensions array.
T[]	FieldEquationsMapper.extractEquationData(int index, T[] complete)	Extract equation data from a complete state or derivative array.
T[]	FieldODEStateAndDerivative.getDerivative()	Get derivative of the main state at time.
T[]	FieldODEStateAndDerivative.getSecondaryDerivative(int index)	Get derivative of the secondary state at time.
T[]	FieldODEState.getSecondaryState(int index)	Get secondary state at time.
T[]	FieldODEState.getState()	Get main state at time.
T[]	FieldEquationsMapper.mapDerivative(FieldODEStateAndDerivative<T> state)	Map a state derivative to a complete flat array.
T[]	FieldEquationsMapper.mapState(FieldODEState<T> state)	Map a state to a complete flat array.

Methods in org.apache.commons.math4.legacy.ode with parameters of type RealFieldElement

Modifier and Type	Method	Description
T[]	AbstractFieldIntegrator.computeDerivatives(T t, T[] y)	Compute the derivatives and check the number of evaluations.
T[]	FieldExpandableODE.computeDerivatives(T t, T[] y)	Get the current time derivative of the complete state vector.
T[]	FieldSecondaryEquations.computeDerivatives(T t, T[] primary, T[] primaryDot, T[] secondary)	Compute the derivatives related to the secondary state parameters.
T[]	FirstOrderFieldDifferentialEquations.computeDerivatives(T t, T[] y)	Get the current time derivative of the state vector.
protected T[][]	FieldODEState.copy(Field<T> field, T[][] original)	Copy a two-dimensions array.
T[]	FieldEquationsMapper.extractEquationData(int index, T[] complete)	Extract equation data from a complete state or derivative array.
void	FieldExpandableODE.init(T t0, T[] y0, T finalTime)	Initialize equations at the start of an ODE integration.
void	FieldSecondaryEquations.init(T t0, T[] primary0, T[] secondary0, T finalTime)	Initialize equations at the start of an ODE integration.
void	FirstOrderFieldDifferentialEquations.init(T t0, T[] y0, T finalTime)	Initialize equations at the start of an ODE integration.
protected abstract Array2DRowFieldMatrix<T>	MultistepFieldIntegrator.initializeHighOrderDerivatives(T h, T[] t, T[][] y, T[][] yDot)	Initialize the high order scaled derivatives at step start.
protected FieldODEStateAndDerivative<T>	AbstractFieldIntegrator.initIntegration(FieldExpandableODE<T> eqn, T t0, T[] y0, T t)	Prepare the start of an integration.
void	FieldEquationsMapper.insertEquationData(int index, T[] equationData, T[] complete)	Insert equation data into a complete state or derivative array.
FieldODEStateAndDerivative<T>	FieldEquationsMapper.mapStateAndDerivative(T t, T[] y, T[] yDot)	Map flat arrays to a state and derivative.

Constructors in org.apache.commons.math4.legacy.ode with parameters of type RealFieldElement

Constructor	Description
FieldODEState(T time, T[] state)	Simple constructor.
FieldODEState(T time, T[] state, T[][] secondaryState)	Simple constructor.
FieldODEStateAndDerivative(T time, T[] state, T[] derivative)	Simple constructor.
FieldODEStateAndDerivative(T time, T[] state, T[] derivative, T[][] secondaryState, T[][] secondaryDerivative)	Simple constructor.

Uses of RealFieldElement in org.apache.commons.math4.legacy.ode.events

Classes in org.apache.commons.math4.legacy.ode.events with type parameters of type RealFieldElement

Modifier and Type	Interface	Description
interface	FieldEventHandler<T extends RealFieldElement<T>>	This interface represents a handler for discrete events triggered during ODE integration.
class	FieldEventState<T extends RealFieldElement<T>>	This class handles the state for one event handler during integration steps.

Uses of RealFieldElement in org.apache.commons.math4.legacy.ode.nonstiff

Classes in org.apache.commons.math4.legacy.ode.nonstiff with type parameters of type RealFieldElement

Modifier and Type	Class	Description
class	AdamsBashforthFieldIntegrator<T extends RealFieldElement<T>>	This class implements explicit Adams-Bashforth integrators for Ordinary Differential Equations.
class	AdamsFieldIntegrator<T extends RealFieldElement<T>>	Base class for Adams-Bashforth and Adams-Moulton integrators.
class	AdamsMoultonFieldIntegrator<T extends RealFieldElement<T>>	This class implements implicit Adams-Moulton integrators for Ordinary Differential Equations.
class	AdamsNordsieckFieldTransformer<T extends RealFieldElement<T>>	Transformer to Nordsieck vectors for Adams integrators.
class	AdaptiveStepsizeFieldIntegrator<T extends RealFieldElement<T>>	This abstract class holds the common part of all adaptive stepsize integrators for Ordinary Differential Equations.
class	ClassicalRungeKuttaFieldIntegrator<T extends RealFieldElement<T>>	This class implements the classical fourth order Runge-Kutta integrator for Ordinary Differential Equations (it is the most often used Runge-Kutta method).
class	DormandPrince54FieldIntegrator<T extends RealFieldElement<T>>	This class implements the 5(4) Dormand-Prince integrator for Ordinary Differential Equations.
class	DormandPrince853FieldIntegrator<T extends RealFieldElement<T>>	This class implements the 8(5,3) Dormand-Prince integrator for Ordinary Differential Equations.
class	EmbeddedRungeKuttaFieldIntegrator<T extends RealFieldElement<T>>	This class implements the common part of all embedded Runge-Kutta integrators for Ordinary Differential Equations.
class	EulerFieldIntegrator<T extends RealFieldElement<T>>	This class implements a simple Euler integrator for Ordinary Differential Equations.
interface	FieldButcherArrayProvider<T extends RealFieldElement<T>>	This interface represents an integrator based on Butcher arrays.
class	GillFieldIntegrator<T extends RealFieldElement<T>>	This class implements the Gill fourth order Runge-Kutta integrator for Ordinary Differential Equations .
class	HighamHall54FieldIntegrator<T extends RealFieldElement<T>>	This class implements the 5(4) Higham and Hall integrator for Ordinary Differential Equations.
class	LutherFieldIntegrator<T extends RealFieldElement<T>>	This class implements the Luther sixth order Runge-Kutta integrator for Ordinary Differential Equations.
class	MidpointFieldIntegrator<T extends RealFieldElement<T>>	This class implements a second order Runge-Kutta integrator for Ordinary Differential Equations.
class	RungeKuttaFieldIntegrator<T extends RealFieldElement<T>>	This class implements the common part of all fixed step Runge-Kutta integrators for Ordinary Differential Equations.
class	ThreeEighthesFieldIntegrator<T extends RealFieldElement<T>>	This class implements the 3/8 fourth order Runge-Kutta integrator for Ordinary Differential Equations.

Methods in org.apache.commons.math4.legacy.ode.nonstiff with type parameters of type RealFieldElement

Modifier and Type	Method	Description
static <T extends RealFieldElement<T>> AdamsNordsieckFieldTransformer<T>	AdamsNordsieckFieldTransformer.getInstance(Field<T> field, int nSteps)	Get the Nordsieck transformer for a given field and number of steps.

Methods in org.apache.commons.math4.legacy.ode.nonstiff that return RealFieldElement

Modifier and Type	Method	Description
T[][]	ClassicalRungeKuttaFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	DormandPrince54FieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	DormandPrince853FieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	EulerFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	FieldButcherArrayProvider.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	GillFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	HighamHall54FieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	LutherFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	MidpointFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[][]	ThreeEighthesFieldIntegrator.getA()	Get the internal weights from Butcher array (without the first empty row).
T[]	ClassicalRungeKuttaFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	DormandPrince54FieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	DormandPrince853FieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	EulerFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	FieldButcherArrayProvider.getB()	Get the external weights for the high order method from Butcher array.
T[]	GillFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	HighamHall54FieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	LutherFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	MidpointFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	ThreeEighthesFieldIntegrator.getB()	Get the external weights for the high order method from Butcher array.
T[]	ClassicalRungeKuttaFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	DormandPrince54FieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	DormandPrince853FieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	EulerFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	FieldButcherArrayProvider.getC()	Get the time steps from Butcher array (without the first zero).
T[]	GillFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	HighamHall54FieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	LutherFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	MidpointFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	ThreeEighthesFieldIntegrator.getC()	Get the time steps from Butcher array (without the first zero).
T[]	RungeKuttaFieldIntegrator.singleStep(FirstOrderFieldDifferentialEquations<T> equations, T t0, T[] y0, T t)	Fast computation of a single step of ODE integration.

Methods in org.apache.commons.math4.legacy.ode.nonstiff with parameters of type RealFieldElement

Modifier and Type	Method	Description
protected org.apache.commons.math4.legacy.ode.nonstiff.ClassicalRungeKuttaFieldStepInterpolator<T>	ClassicalRungeKuttaFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.apache.commons.math4.legacy.ode.nonstiff.DormandPrince54FieldStepInterpolator<T>	DormandPrince54FieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.apache.commons.math4.legacy.ode.nonstiff.DormandPrince853FieldStepInterpolator<T>	DormandPrince853FieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected abstract org.apache.commons.math4.legacy.ode.nonstiff.RungeKuttaFieldStepInterpolator<T>	EmbeddedRungeKuttaFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.apache.commons.math4.legacy.ode.nonstiff.EulerFieldStepInterpolator<T>	EulerFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.apache.commons.math4.legacy.ode.nonstiff.GillFieldStepInterpolator<T>	GillFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.apache.commons.math4.legacy.ode.nonstiff.HighamHall54FieldStepInterpolator<T>	HighamHall54FieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.apache.commons.math4.legacy.ode.nonstiff.LutherFieldStepInterpolator<T>	LutherFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.apache.commons.math4.legacy.ode.nonstiff.MidpointFieldStepInterpolator<T>	MidpointFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected abstract org.apache.commons.math4.legacy.ode.nonstiff.RungeKuttaFieldStepInterpolator<T>	RungeKuttaFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected org.apache.commons.math4.legacy.ode.nonstiff.ThreeEighthesFieldStepInterpolator<T>	ThreeEighthesFieldIntegrator.createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)	Create an interpolator.
protected T	DormandPrince54FieldIntegrator.estimateError(T[][] yDotK, T[] y0, T[] y1, T h)	Compute the error ratio.
protected T	DormandPrince853FieldIntegrator.estimateError(T[][] yDotK, T[] y0, T[] y1, T h)	Compute the error ratio.
protected abstract T	EmbeddedRungeKuttaFieldIntegrator.estimateError(T[][] yDotK, T[] y0, T[] y1, T h)	Compute the error ratio.
protected T	HighamHall54FieldIntegrator.estimateError(T[][] yDotK, T[] y0, T[] y1, T h)	Compute the error ratio.
protected Array2DRowFieldMatrix<T>	AdamsFieldIntegrator.initializeHighOrderDerivatives(T h, T[] t, T[][] y, T[][] yDot)	Initialize the high order scaled derivatives at step start.
Array2DRowFieldMatrix<T>	AdamsNordsieckFieldTransformer.initializeHighOrderDerivatives(T h, T[] t, T[][] y, T[][] yDot)	Initialize the high order scaled derivatives at step start.
T	AdaptiveStepsizeFieldIntegrator.initializeStep(boolean forward, int order, T[] scale, FieldODEStateAndDerivative<T> state0, FieldEquationsMapper<T> mapper)	Initialize the integration step.
T[]	RungeKuttaFieldIntegrator.singleStep(FirstOrderFieldDifferentialEquations<T> equations, T t0, T[] y0, T t)	Fast computation of a single step of ODE integration.
void	AdamsFieldIntegrator.updateHighOrderDerivativesPhase2(T[] start, T[] end, Array2DRowFieldMatrix<T> highOrder)	Update the high order scaled derivatives Adams integrators (phase 2).
void	AdamsNordsieckFieldTransformer.updateHighOrderDerivativesPhase2(T[] start, T[] end, Array2DRowFieldMatrix<T> highOrder)	Update the high order scaled derivatives Adams integrators (phase 2).

Uses of RealFieldElement in org.apache.commons.math4.legacy.ode.sampling

Classes in org.apache.commons.math4.legacy.ode.sampling with type parameters of type RealFieldElement

Modifier and Type	Class	Description
class	AbstractFieldStepInterpolator<T extends RealFieldElement<T>>	This abstract class represents an interpolator over the last step during an ODE integration.
interface	FieldFixedStepHandler<T extends RealFieldElement<T>>	This interface represents a handler that should be called after each successful fixed step.
interface	FieldStepHandler<T extends RealFieldElement<T>>	This interface represents a handler that should be called after each successful step.
interface	FieldStepInterpolator<T extends RealFieldElement<T>>	This interface represents an interpolator over the last step during an ODE integration.
class	FieldStepNormalizer<T extends RealFieldElement<T>>	This class wraps an object implementing FieldFixedStepHandler into a FieldStepHandler.