Class AbstractFieldODEStateInterpolator<T extends CalculusFieldElement<T>>
- Type Parameters:
T
- the type of the field elements
- All Implemented Interfaces:
FieldODEStateInterpolator<T>
The various ODE integrators provide objects extending this class to the step handlers. The handlers can use these objects to retrieve the state vector at intermediate times between the previous and the current grid points (dense output).
- See Also:
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Constructor Summary
ModifierConstructorDescriptionprotected
AbstractFieldODEStateInterpolator
(boolean isForward, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldODEStateAndDerivative<T> softPreviousState, FieldODEStateAndDerivative<T> softCurrentState, FieldEquationsMapper<T> equationsMapper) Simple constructor. -
Method Summary
Modifier and TypeMethodDescriptionprotected abstract FieldODEStateAndDerivative<T>
computeInterpolatedStateAndDerivatives
(FieldEquationsMapper<T> equationsMapper, T time, T theta, T thetaH, T oneMinusThetaH) Compute the state and derivatives at the interpolated time.protected abstract AbstractFieldODEStateInterpolator<T>
create
(boolean newForward, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper) Create a new instance.Get the state at current grid point time.Get the current global grid point state.Get the previous global grid point state.getInterpolatedState
(T time) Get the state at interpolated time.protected FieldEquationsMapper<T>
Get the mapper for ODE equations primary and secondary components.Get the state at previous grid point time.boolean
Determines if thecurrent state
is computed directly by the integrator, or if it is calculated usinginterpolation
.boolean
Check if the natural integration direction is forward.boolean
Determines if theprevious state
is computed directly by the integrator, or if it is calculated usinginterpolation
.restrictStep
(FieldODEStateAndDerivative<T> previousState, FieldODEStateAndDerivative<T> currentState) Create a new restricted version of the instance.
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Constructor Details
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AbstractFieldODEStateInterpolator
protected AbstractFieldODEStateInterpolator(boolean isForward, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldODEStateAndDerivative<T> softPreviousState, FieldODEStateAndDerivative<T> softCurrentState, FieldEquationsMapper<T> equationsMapper) Simple constructor.- Parameters:
isForward
- integration direction indicatorglobalPreviousState
- start of the global stepglobalCurrentState
- end of the global stepsoftPreviousState
- start of the restricted stepsoftCurrentState
- end of the restricted stepequationsMapper
- mapper for ODE equations primary and secondary components
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Method Details
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restrictStep
public AbstractFieldODEStateInterpolator<T> restrictStep(FieldODEStateAndDerivative<T> previousState, FieldODEStateAndDerivative<T> currentState) Create a new restricted version of the instance.The instance is not changed at all.
- Parameters:
previousState
- start of the restricted stepcurrentState
- end of the restricted step- Returns:
- restricted version of the instance
- See Also:
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create
protected abstract AbstractFieldODEStateInterpolator<T> create(boolean newForward, FieldODEStateAndDerivative<T> newGlobalPreviousState, FieldODEStateAndDerivative<T> newGlobalCurrentState, FieldODEStateAndDerivative<T> newSoftPreviousState, FieldODEStateAndDerivative<T> newSoftCurrentState, FieldEquationsMapper<T> newMapper) Create a new instance.- Parameters:
newForward
- integration direction indicatornewGlobalPreviousState
- start of the global stepnewGlobalCurrentState
- end of the global stepnewSoftPreviousState
- start of the restricted stepnewSoftCurrentState
- end of the restricted stepnewMapper
- equations mapper for the all equations- Returns:
- a new instance
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getGlobalPreviousState
Get the previous global grid point state.- Returns:
- previous global grid point state
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getGlobalCurrentState
Get the current global grid point state.- Returns:
- current global grid point state
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getPreviousState
Get the state at previous grid point time.- Specified by:
getPreviousState
in interfaceFieldODEStateInterpolator<T extends CalculusFieldElement<T>>
- Returns:
- state at previous grid point time
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isPreviousStateInterpolated
public boolean isPreviousStateInterpolated()Determines if theprevious state
is computed directly by the integrator, or if it is calculated usinginterpolation
.Typically the previous state is directly computed by the integrator, but when events are detected the steps are shortened so that events occur on step boundaries which means the previous state may be computed by the interpolator.
- Specified by:
isPreviousStateInterpolated
in interfaceFieldODEStateInterpolator<T extends CalculusFieldElement<T>>
- Returns:
true
if the previous state was calculated by the interpolator and false if it was computed directly by the integrator.
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getCurrentState
Get the state at current grid point time.- Specified by:
getCurrentState
in interfaceFieldODEStateInterpolator<T extends CalculusFieldElement<T>>
- Returns:
- state at current grid point time
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isCurrentStateInterpolated
public boolean isCurrentStateInterpolated()Determines if thecurrent state
is computed directly by the integrator, or if it is calculated usinginterpolation
.Typically the current state is directly computed by the integrator, but when events are detected the steps are shortened so that events occur on step boundaries which means the current state may be computed by the interpolator.
- Specified by:
isCurrentStateInterpolated
in interfaceFieldODEStateInterpolator<T extends CalculusFieldElement<T>>
- Returns:
true
if the current state was calculated by the interpolator and false if it was computed directly by the integrator.
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getInterpolatedState
Get the state at interpolated time.Setting the time outside of the current step is allowed, but should be used with care since the accuracy of the interpolator will probably be very poor far from this step. This allowance has been added to simplify implementation of search algorithms near the step endpoints.
- Specified by:
getInterpolatedState
in interfaceFieldODEStateInterpolator<T extends CalculusFieldElement<T>>
- Parameters:
time
- time of the interpolated point- Returns:
- state at interpolated time
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isForward
public boolean isForward()Check if the natural integration direction is forward.This method provides the integration direction as specified by the integrator itself, it avoid some nasty problems in degenerated cases like null steps due to cancellation at step initialization, step control or discrete events triggering.
- Specified by:
isForward
in interfaceFieldODEStateInterpolator<T extends CalculusFieldElement<T>>
- Returns:
- true if the integration variable (time) increases during integration
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getMapper
Get the mapper for ODE equations primary and secondary components.- Returns:
- mapper for ODE equations primary and secondary components
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computeInterpolatedStateAndDerivatives
protected abstract FieldODEStateAndDerivative<T> computeInterpolatedStateAndDerivatives(FieldEquationsMapper<T> equationsMapper, T time, T theta, T thetaH, T oneMinusThetaH) throws MathIllegalStateException Compute the state and derivatives at the interpolated time. This is the main processing method that should be implemented by the derived classes to perform the interpolation.- Parameters:
equationsMapper
- mapper for ODE equations primary and secondary componentstime
- interpolation timetheta
- normalized interpolation abscissa within the step (theta is zero at the previous time step and one at the current time step)thetaH
- time gap between the previous time and the interpolated timeoneMinusThetaH
- time gap between the interpolated time and the current time- Returns:
- interpolated state and derivatives
- Throws:
MathIllegalStateException
- if the number of functions evaluations is exceeded
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