Uses of Interface
org.apache.commons.math3.RealFieldElement
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Packages that use RealFieldElement Package Description org.apache.commons.math3.analysis Parent package for common numerical analysis procedures, including root finding, function interpolation and integration.org.apache.commons.math3.analysis.differentiation This package holds the main interfaces and basic building block classes dealing with differentiation.org.apache.commons.math3.analysis.solvers Root finding algorithms, for univariate real functions.org.apache.commons.math3.dfp Decimal floating point library for Javaorg.apache.commons.math3.geometry.euclidean.threed This package provides basic 3D geometry components.org.apache.commons.math3.ode This package provides classes to solve Ordinary Differential Equations problems.org.apache.commons.math3.ode.events This package provides classes to handle discrete events occurring during Ordinary Differential Equations integration.org.apache.commons.math3.ode.nonstiff This package provides classes to solve non-stiff Ordinary Differential Equations problems.org.apache.commons.math3.ode.sampling This package provides classes to handle sampling steps during Ordinary Differential Equations integration.org.apache.commons.math3.util Convenience routines and common data structures used throughout the commons-math library. -
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Uses of RealFieldElement in org.apache.commons.math3.analysis
Classes in org.apache.commons.math3.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.math3.analysis.differentiation
Classes in org.apache.commons.math3.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.math3.analysis.solvers
Classes in org.apache.commons.math3.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.Fields in org.apache.commons.math3.analysis.solvers declared as RealFieldElement Modifier and Type Field Description private T
FieldBracketingNthOrderBrentSolver. absoluteAccuracy
Absolute accuracy.private T
FieldBracketingNthOrderBrentSolver. functionValueAccuracy
Function value accuracy.private T
FieldBracketingNthOrderBrentSolver. relativeAccuracy
Relative accuracy.Methods in org.apache.commons.math3.analysis.solvers with parameters of type RealFieldElement Modifier and Type Method Description private T
FieldBracketingNthOrderBrentSolver. guessX(T targetY, T[] x, T[] y, int start, int end)
Guess an x value by nth order inverse polynomial interpolation. -
Uses of RealFieldElement in org.apache.commons.math3.dfp
Classes in org.apache.commons.math3.dfp that implement RealFieldElement Modifier and Type Class Description class
Dfp
Decimal floating point library for Javaclass
DfpDec
Subclass ofDfp
which hides the radix-10000 artifacts of the superclass. -
Uses of RealFieldElement in org.apache.commons.math3.geometry.euclidean.threed
Classes in org.apache.commons.math3.geometry.euclidean.threed with type parameters of type RealFieldElement Modifier and Type Class Description class
FieldRotation<T extends RealFieldElement<T>>
This class is a re-implementation ofRotation
usingRealFieldElement
.class
FieldVector3D<T extends RealFieldElement<T>>
This class is a re-implementation ofVector3D
usingRealFieldElement
.Fields in org.apache.commons.math3.geometry.euclidean.threed declared as RealFieldElement Modifier and Type Field Description private T
FieldRotation. q0
Scalar coordinate of the quaternion.private T
FieldRotation. q1
First coordinate of the vectorial part of the quaternion.private T
FieldRotation. q2
Second coordinate of the vectorial part of the quaternion.private T
FieldRotation. q3
Third coordinate of the vectorial part of the quaternion.private T
FieldVector3D. x
Abscissa.private T
FieldVector3D. y
Ordinate.private T
FieldVector3D. z
Height.Methods in org.apache.commons.math3.geometry.euclidean.threed with type parameters of type RealFieldElement Modifier and Type Method Description static <T extends RealFieldElement<T>>
TFieldVector3D. angle(FieldVector3D<T> v1, FieldVector3D<T> v2)
Compute the angular separation between two vectors.static <T extends RealFieldElement<T>>
TFieldVector3D. angle(FieldVector3D<T> v1, Vector3D v2)
Compute the angular separation between two vectors.static <T extends RealFieldElement<T>>
TFieldVector3D. angle(Vector3D v1, FieldVector3D<T> v2)
Compute the angular separation between two vectors.static <T extends RealFieldElement<T>>
FieldRotation<T>FieldRotation. applyInverseTo(Rotation rOuter, FieldRotation<T> rInner)
Apply the inverse of a rotation to another rotation.static <T extends RealFieldElement<T>>
FieldVector3D<T>FieldRotation. applyInverseTo(Rotation r, FieldVector3D<T> u)
Apply the inverse of a rotation to a vector.static <T extends RealFieldElement<T>>
FieldRotation<T>FieldRotation. applyTo(Rotation r1, FieldRotation<T> rInner)
Apply a rotation to another rotation.static <T extends RealFieldElement<T>>
FieldVector3D<T>FieldRotation. applyTo(Rotation r, FieldVector3D<T> u)
Apply a rotation to a vector.static <T extends RealFieldElement<T>>
FieldVector3D<T>FieldVector3D. crossProduct(FieldVector3D<T> v1, FieldVector3D<T> v2)
Compute the cross-product of two vectors.static <T extends RealFieldElement<T>>
FieldVector3D<T>FieldVector3D. crossProduct(FieldVector3D<T> v1, Vector3D v2)
Compute the cross-product of two vectors.static <T extends RealFieldElement<T>>
FieldVector3D<T>FieldVector3D. crossProduct(Vector3D v1, FieldVector3D<T> v2)
Compute the cross-product of two vectors.static <T extends RealFieldElement<T>>
TFieldRotation. distance(FieldRotation<T> r1, FieldRotation<T> r2)
Compute the distance between two rotations.static <T extends RealFieldElement<T>>
TFieldVector3D. distance(FieldVector3D<T> v1, FieldVector3D<T> v2)
Compute the distance between two vectors according to the L2 norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distance(FieldVector3D<T> v1, Vector3D v2)
Compute the distance between two vectors according to the L2 norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distance(Vector3D v1, FieldVector3D<T> v2)
Compute the distance between two vectors according to the L2 norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distance1(FieldVector3D<T> v1, FieldVector3D<T> v2)
Compute the distance between two vectors according to the L1 norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distance1(FieldVector3D<T> v1, Vector3D v2)
Compute the distance between two vectors according to the L1 norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distance1(Vector3D v1, FieldVector3D<T> v2)
Compute the distance between two vectors according to the L1 norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distanceInf(FieldVector3D<T> v1, FieldVector3D<T> v2)
Compute the distance between two vectors according to the L∞ norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distanceInf(FieldVector3D<T> v1, Vector3D v2)
Compute the distance between two vectors according to the L∞ norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distanceInf(Vector3D v1, FieldVector3D<T> v2)
Compute the distance between two vectors according to the L∞ norm.static <T extends RealFieldElement<T>>
TFieldVector3D. distanceSq(FieldVector3D<T> v1, FieldVector3D<T> v2)
Compute the square of the distance between two vectors.static <T extends RealFieldElement<T>>
TFieldVector3D. distanceSq(FieldVector3D<T> v1, Vector3D v2)
Compute the square of the distance between two vectors.static <T extends RealFieldElement<T>>
TFieldVector3D. distanceSq(Vector3D v1, FieldVector3D<T> v2)
Compute the square of the distance between two vectors.static <T extends RealFieldElement<T>>
TFieldVector3D. dotProduct(FieldVector3D<T> v1, FieldVector3D<T> v2)
Compute the dot-product of two vectors.static <T extends RealFieldElement<T>>
TFieldVector3D. dotProduct(FieldVector3D<T> v1, Vector3D v2)
Compute the dot-product of two vectors.static <T extends RealFieldElement<T>>
TFieldVector3D. dotProduct(Vector3D v1, FieldVector3D<T> v2)
Compute the dot-product of two vectors.Methods in org.apache.commons.math3.geometry.euclidean.threed that return RealFieldElement Modifier and Type Method Description private T[]
FieldRotation. buildArray(T a0, T a1, T a2)
Create a dimension 3 array.T[]
FieldRotation. getAngles(RotationOrder order)
Deprecated.as of 3.6, replaced withFieldRotation.getAngles(RotationOrder, RotationConvention)
T[]
FieldRotation. getAngles(RotationOrder order, RotationConvention convention)
Get the Cardan or Euler angles corresponding to the instance.T[][]
FieldRotation. getMatrix()
Get the 3X3 matrix corresponding to the instanceprivate T[]
FieldRotation. mat2quat(T[][] ort)
Convert an orthogonal rotation matrix to a quaternion.private T[][]
FieldRotation. orthogonalizeMatrix(T[][] m, double threshold)
Perfect orthogonality on a 3X3 matrix.T[]
FieldVector3D. toArray()
Get the vector coordinates as a dimension 3 array.Methods in org.apache.commons.math3.geometry.euclidean.threed with parameters of type RealFieldElement Modifier and Type Method Description void
FieldRotation. applyInverseTo(double[] in, T[] out)
Apply the inverse of the rotation to a vector stored in an array.void
FieldRotation. applyInverseTo(T[] in, T[] out)
Apply the inverse of the rotation to a vector stored in an array.void
FieldRotation. applyTo(double[] in, T[] out)
Apply the rotation to a vector stored in an array.void
FieldRotation. applyTo(T[] in, T[] out)
Apply the rotation to a vector stored in an array.private T[]
FieldRotation. mat2quat(T[][] ort)
Convert an orthogonal rotation matrix to a quaternion.private T[][]
FieldRotation. orthogonalizeMatrix(T[][] m, double threshold)
Perfect orthogonality on a 3X3 matrix.Constructors in org.apache.commons.math3.geometry.euclidean.threed with parameters of type RealFieldElement Constructor Description FieldRotation(T[][] m, double threshold)
Build a rotation from a 3X3 matrix.FieldVector3D(T[] v)
Simple constructor. -
Uses of RealFieldElement in org.apache.commons.math3.ode
Classes in org.apache.commons.math3.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.math3.ode declared as RealFieldElement Modifier and Type Field Description private T[]
FieldODEStateAndDerivative. derivative
Derivative of the main state at time.private T
ContinuousOutputFieldModel. finalTime
Final integration time.private T
ContinuousOutputFieldModel. initialTime
Initial integration time.protected T[]
MultistepFieldIntegrator. scaled
First scaled derivative (h y').private T[][]
FieldODEStateAndDerivative. secondaryDerivative
Derivative of the secondary state at time.private T[][]
FieldODEState. secondaryState
Secondary state at time.private T[]
FieldODEState. state
Main state at time.private T
AbstractFieldIntegrator. stepSize
Current stepsize.private T[]
MultistepFieldIntegrator.FieldNordsieckInitializer. t
First steps times.private T
FieldODEState. time
Time.private T[][]
MultistepFieldIntegrator.FieldNordsieckInitializer. y
First steps states.private T[][]
MultistepFieldIntegrator.FieldNordsieckInitializer. yDot
First steps derivatives.Methods in org.apache.commons.math3.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.math3.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.math3.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.math3.ode.events
Classes in org.apache.commons.math3.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 oneevent handler
during integration steps.Fields in org.apache.commons.math3.ode.events declared as RealFieldElement Modifier and Type Field Description private T
FieldEventState. convergence
Convergence threshold for event localization.private T
FieldEventState. g0
Value of the events handler at the beginning of the step.private T
FieldEventState. pendingEventTime
Occurrence time of the pending event.private T
FieldEventState. previousEventTime
Occurrence time of the previous event.private T
FieldEventState. t0
Time at the beginning of the step. -
Uses of RealFieldElement in org.apache.commons.math3.ode.nonstiff
Classes in org.apache.commons.math3.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 forAdams-Bashforth
andAdams-Moulton
integrators.(package private) class
AdamsFieldStepInterpolator<T extends RealFieldElement<T>>
This class implements an interpolator for Adams integrators using Nordsieck representation.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).(package private) class
ClassicalRungeKuttaFieldStepInterpolator<T extends RealFieldElement<T>>
This class implements a step interpolator for the classical fourth order Runge-Kutta integrator.class
DormandPrince54FieldIntegrator<T extends RealFieldElement<T>>
This class implements the 5(4) Dormand-Prince integrator for Ordinary Differential Equations.(package private) class
DormandPrince54FieldStepInterpolator<T extends RealFieldElement<T>>
This class represents an interpolator over the last step during an ODE integration for the 5(4) Dormand-Prince integrator.class
DormandPrince853FieldIntegrator<T extends RealFieldElement<T>>
This class implements the 8(5,3) Dormand-Prince integrator for Ordinary Differential Equations.(package private) class
DormandPrince853FieldStepInterpolator<T extends RealFieldElement<T>>
This class represents an interpolator over the last step during an ODE integration for the 8(5,3) Dormand-Prince integrator.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.(package private) class
EulerFieldStepInterpolator<T extends RealFieldElement<T>>
This class implements a linear interpolator for step.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 .(package private) class
GillFieldStepInterpolator<T extends RealFieldElement<T>>
This class implements a step interpolator for the Gill fourth order Runge-Kutta integrator.class
HighamHall54FieldIntegrator<T extends RealFieldElement<T>>
This class implements the 5(4) Higham and Hall integrator for Ordinary Differential Equations.(package private) class
HighamHall54FieldStepInterpolator<T extends RealFieldElement<T>>
This class represents an interpolator over the last step during an ODE integration for the 5(4) Higham and Hall integrator.class
LutherFieldIntegrator<T extends RealFieldElement<T>>
This class implements the Luther sixth order Runge-Kutta integrator for Ordinary Differential Equations.(package private) class
LutherFieldStepInterpolator<T extends RealFieldElement<T>>
This class represents an interpolator over the last step during an ODE integration for the 6th order Luther integrator.class
MidpointFieldIntegrator<T extends RealFieldElement<T>>
This class implements a second order Runge-Kutta integrator for Ordinary Differential Equations.(package private) class
MidpointFieldStepInterpolator<T extends RealFieldElement<T>>
This class implements a step interpolator for second order Runge-Kutta integrator.class
RungeKuttaFieldIntegrator<T extends RealFieldElement<T>>
This class implements the common part of all fixed step Runge-Kutta integrators for Ordinary Differential Equations.(package private) class
RungeKuttaFieldStepInterpolator<T extends RealFieldElement<T>>
This class represents an interpolator over the last step during an ODE integration for Runge-Kutta and embedded Runge-Kutta integrators.class
ThreeEighthesFieldIntegrator<T extends RealFieldElement<T>>
This class implements the 3/8 fourth order Runge-Kutta integrator for Ordinary Differential Equations.(package private) class
ThreeEighthesFieldStepInterpolator<T extends RealFieldElement<T>>
This class implements a step interpolator for the 3/8 fourth order Runge-Kutta integrator.Fields in org.apache.commons.math3.ode.nonstiff declared as RealFieldElement Modifier and Type Field Description private T[][]
EmbeddedRungeKuttaFieldIntegrator. a
Internal weights from Butcher array (without the first empty row).private T[][]
RungeKuttaFieldIntegrator. a
Internal weights from Butcher array (without the first empty row).private T
DormandPrince54FieldStepInterpolator. a70
Last row of the Butcher-array internal weights, element 0.private T
DormandPrince54FieldStepInterpolator. a72
Last row of the Butcher-array internal weights, element 2.private T
DormandPrince54FieldStepInterpolator. a73
Last row of the Butcher-array internal weights, element 3.private T
DormandPrince54FieldStepInterpolator. a74
Last row of the Butcher-array internal weights, element 4.private T
DormandPrince54FieldStepInterpolator. a75
Last row of the Butcher-array internal weights, element 5.private T[]
AdamsMoultonFieldIntegrator.Corrector. after
Current state after correction.private T[]
EmbeddedRungeKuttaFieldIntegrator. b
External weights for the high order method from Butcher array.private T[]
RungeKuttaFieldIntegrator. b
External weights for the high order method from Butcher array.private T[]
AdamsMoultonFieldIntegrator.Corrector. before
Current state before correction.private T[]
EmbeddedRungeKuttaFieldIntegrator. c
Time steps from Butcher array (without the first zero).private T[]
RungeKuttaFieldIntegrator. c
Time steps from Butcher array (without the first zero).private T[]
AdamsNordsieckFieldTransformer. c1
Update coefficients of the higher order derivatives wrt y'.private T
LutherFieldStepInterpolator. c5a
-49 - 49 q.private T
LutherFieldStepInterpolator. c5b
392 + 287 q.private T
LutherFieldStepInterpolator. c5c
-637 - 357 q.private T
LutherFieldStepInterpolator. c5d
833 + 343 q.private T
LutherFieldStepInterpolator. c6a
-49 + 49 q.private T
LutherFieldStepInterpolator. c6b
-392 - 287 q.private T
LutherFieldStepInterpolator. c6c
-637 + 357 q.private T
LutherFieldStepInterpolator. c6d
833 - 343 q.private T[][]
DormandPrince853FieldStepInterpolator. d
Interpolation weights.private T
DormandPrince54FieldStepInterpolator. d0
Shampine (1986) Dense output, element 0.private T
DormandPrince54FieldStepInterpolator. d2
Shampine (1986) Dense output, element 2.private T
DormandPrince54FieldStepInterpolator. d3
Shampine (1986) Dense output, element 3.private T
DormandPrince54FieldStepInterpolator. d4
Shampine (1986) Dense output, element 4.private T
DormandPrince54FieldStepInterpolator. d5
Shampine (1986) Dense output, element 5.private T
LutherFieldStepInterpolator. d5a
49 + 49 q.private T
LutherFieldStepInterpolator. d5b
-1372 - 847 q.private T
LutherFieldStepInterpolator. d5c
2254 + 1029 qprivate T
DormandPrince54FieldStepInterpolator. d6
Shampine (1986) Dense output, element 6.private T
LutherFieldStepInterpolator. d6a
49 - 49 q.private T
LutherFieldStepInterpolator. d6b
-1372 + 847 q.private T
LutherFieldStepInterpolator. d6c
2254 - 1029 qprivate T[]
HighamHall54FieldIntegrator. e
Error weights Butcher array.private T
DormandPrince54FieldIntegrator. e1
Error array, element 1.private T
DormandPrince853FieldIntegrator. e1_01
First error weights array, element 1.private T
DormandPrince853FieldIntegrator. e1_06
First error weights array, element 6.private T
DormandPrince853FieldIntegrator. e1_07
First error weights array, element 7.private T
DormandPrince853FieldIntegrator. e1_08
First error weights array, element 8.private T
DormandPrince853FieldIntegrator. e1_09
First error weights array, element 9.private T
DormandPrince853FieldIntegrator. e1_10
First error weights array, element 10.private T
DormandPrince853FieldIntegrator. e1_11
First error weights array, element 11.private T
DormandPrince853FieldIntegrator. e1_12
First error weights array, element 12.private T
DormandPrince853FieldIntegrator. e2_01
Second error weights array, element 1.private T
DormandPrince853FieldIntegrator. e2_06
Second error weights array, element 6.private T
DormandPrince853FieldIntegrator. e2_07
Second error weights array, element 7.private T
DormandPrince853FieldIntegrator. e2_08
Second error weights array, element 8.private T
DormandPrince853FieldIntegrator. e2_09
Second error weights array, element 9.private T
DormandPrince853FieldIntegrator. e2_10
Second error weights array, element 10.private T
DormandPrince853FieldIntegrator. e2_11
Second error weights array, element 11.private T
DormandPrince853FieldIntegrator. e2_12
Second error weights array, element 12.private T
DormandPrince54FieldIntegrator. e3
Error array, element 3.private T
DormandPrince54FieldIntegrator. e4
Error array, element 4.private T
DormandPrince54FieldIntegrator. e5
Error array, element 5.private T
DormandPrince54FieldIntegrator. e6
Error array, element 6.private T
DormandPrince54FieldIntegrator. e7
Error array, element 7.private T
EmbeddedRungeKuttaFieldIntegrator. exp
Stepsize control exponent.private T
AdaptiveStepsizeFieldIntegrator. initialStep
User supplied initial step.private T
EmbeddedRungeKuttaFieldIntegrator. maxGrowth
Maximal growth factor for stepsize control.private T
AdaptiveStepsizeFieldIntegrator. maxStep
Maximal step.private T
EmbeddedRungeKuttaFieldIntegrator. minReduction
Minimal reduction factor for stepsize control.private T
AdaptiveStepsizeFieldIntegrator. minStep
Minimal step.private T
GillFieldStepInterpolator. one_minus_inv_sqrt_2
First Gill coefficient.private T
GillFieldStepInterpolator. one_plus_inv_sqrt_2
Second Gill coefficient.private T[]
AdamsMoultonFieldIntegrator.Corrector. previous
Previous state.private T
EmbeddedRungeKuttaFieldIntegrator. safety
Safety factor for stepsize control.private T[]
AdamsFieldStepInterpolator. scaled
First scaled derivative.private T[]
AdamsMoultonFieldIntegrator.Corrector. scaled
Current scaled first derivative.private T
AdamsFieldStepInterpolator. scalingH
Step size used in the first scaled derivative and Nordsieck vector.private T
RungeKuttaFieldIntegrator. step
Integration step.private T[][]
RungeKuttaFieldStepInterpolator. yDotK
Slopes at the intermediate points.Fields in org.apache.commons.math3.ode.nonstiff with type parameters of type RealFieldElement Modifier and Type Field Description private static java.util.Map<java.lang.Integer,java.util.Map<Field<? extends RealFieldElement<?>>,AdamsNordsieckFieldTransformer<? extends RealFieldElement<?>>>>
AdamsNordsieckFieldTransformer. CACHE
Cache for already computed coefficients.private static java.util.Map<java.lang.Integer,java.util.Map<Field<? extends RealFieldElement<?>>,AdamsNordsieckFieldTransformer<? extends RealFieldElement<?>>>>
AdamsNordsieckFieldTransformer. CACHE
Cache for already computed coefficients.Methods in org.apache.commons.math3.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.static <S extends RealFieldElement<S>>
FieldODEStateAndDerivative<S>AdamsFieldStepInterpolator. taylor(FieldODEStateAndDerivative<S> reference, S time, S stepSize, S[] scaled, Array2DRowFieldMatrix<S> nordsieck)
Estimate state by applying Taylor formula.Methods in org.apache.commons.math3.ode.nonstiff that return RealFieldElement Modifier and Type Method Description private T[]
RungeKuttaFieldStepInterpolator. combine(T[] a, T... coefficients)
Linearly combine arrays.protected T[]
RungeKuttaFieldStepInterpolator. currentStateLinearCombination(T... coefficients)
Compute a state by linear combination added to current state.protected T[]
RungeKuttaFieldStepInterpolator. derivativeLinearCombination(T... coefficients)
Compute a state derivative by linear combination.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).protected T[]
RungeKuttaFieldStepInterpolator. previousStateLinearCombination(T... coefficients)
Compute a state by linear combination added to previous state.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.math3.ode.nonstiff with parameters of type RealFieldElement Modifier and Type Method Description private T[]
RungeKuttaFieldStepInterpolator. combine(T[] a, T... coefficients)
Linearly combine arrays.protected ClassicalRungeKuttaFieldStepInterpolator<T>
ClassicalRungeKuttaFieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected DormandPrince54FieldStepInterpolator<T>
DormandPrince54FieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected DormandPrince853FieldStepInterpolator<T>
DormandPrince853FieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected EulerFieldStepInterpolator<T>
EulerFieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected GillFieldStepInterpolator<T>
GillFieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected HighamHall54FieldStepInterpolator<T>
HighamHall54FieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected LutherFieldStepInterpolator<T>
LutherFieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected MidpointFieldStepInterpolator<T>
MidpointFieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected abstract RungeKuttaFieldStepInterpolator<T>
RungeKuttaFieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected ThreeEighthesFieldStepInterpolator<T>
ThreeEighthesFieldStepInterpolator. create(Field<T> newField, boolean newForward, T[][] newYDotK, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper)
Create a new instance.protected ClassicalRungeKuttaFieldStepInterpolator<T>
ClassicalRungeKuttaFieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected DormandPrince54FieldStepInterpolator<T>
DormandPrince54FieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected DormandPrince853FieldStepInterpolator<T>
DormandPrince853FieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected abstract RungeKuttaFieldStepInterpolator<T>
EmbeddedRungeKuttaFieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected EulerFieldStepInterpolator<T>
EulerFieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected GillFieldStepInterpolator<T>
GillFieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected HighamHall54FieldStepInterpolator<T>
HighamHall54FieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected LutherFieldStepInterpolator<T>
LutherFieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected MidpointFieldStepInterpolator<T>
MidpointFieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected abstract RungeKuttaFieldStepInterpolator<T>
RungeKuttaFieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected ThreeEighthesFieldStepInterpolator<T>
ThreeEighthesFieldIntegrator. createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.protected T[]
RungeKuttaFieldStepInterpolator. currentStateLinearCombination(T... coefficients)
Compute a state by linear combination added to current state.protected T[]
RungeKuttaFieldStepInterpolator. derivativeLinearCombination(T... coefficients)
Compute a state derivative by linear combination.private T
AdamsBashforthFieldIntegrator. errorEstimation(T[] previousState, T[] predictedState, T[] predictedScaled, FieldMatrix<T> predictedNordsieck)
Estimate error.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.protected T[]
RungeKuttaFieldStepInterpolator. previousStateLinearCombination(T... coefficients)
Compute a state by linear combination added to previous state.T[]
RungeKuttaFieldIntegrator. singleStep(FirstOrderFieldDifferentialEquations<T> equations, T t0, T[] y0, T t)
Fast computation of a single step of ODE integration.static <S extends RealFieldElement<S>>
FieldODEStateAndDerivative<S>AdamsFieldStepInterpolator. taylor(FieldODEStateAndDerivative<S> reference, S time, S stepSize, S[] scaled, Array2DRowFieldMatrix<S> nordsieck)
Estimate state by applying Taylor formula.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.math3.ode.sampling
Classes in org.apache.commons.math3.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 implementingFieldFixedStepHandler
into aFieldStepHandler
. -
Uses of RealFieldElement in org.apache.commons.math3.util
Classes in org.apache.commons.math3.util that implement RealFieldElement Modifier and Type Class Description class
Decimal64
This class wraps adouble
value in an object.Methods in org.apache.commons.math3.util with type parameters of type RealFieldElement Modifier and Type Method Description static <T extends RealFieldElement<T>>
TMathUtils. max(T e1, T e2)
Find the maximum of two field elements.static <T extends RealFieldElement<T>>
TMathUtils. min(T e1, T e2)
Find the minimum of two field elements.
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