Class AdamsFieldStepInterpolator<T extends RealFieldElement<T>>

    • Constructor Detail

      • AdamsFieldStepInterpolator

        AdamsFieldStepInterpolator​(T stepSize,
                                   FieldODEStateAndDerivative<T> reference,
                                   T[] scaled,
                                   Array2DRowFieldMatrix<T> nordsieck,
                                   boolean isForward,
                                   FieldODEStateAndDerivative<T> globalPreviousState,
                                   FieldODEStateAndDerivative<T> globalCurrentState,
                                   FieldEquationsMapper<T> equationsMapper)
        Simple constructor.
        Parameters:
        stepSize - step size used in the scaled and Nordsieck arrays
        reference - reference state from which Taylor expansion are estimated
        scaled - first scaled derivative
        nordsieck - Nordsieck vector
        isForward - integration direction indicator
        globalPreviousState - start of the global step
        globalCurrentState - end of the global step
        equationsMapper - mapper for ODE equations primary and secondary components
      • AdamsFieldStepInterpolator

        private AdamsFieldStepInterpolator​(T stepSize,
                                           FieldODEStateAndDerivative<T> reference,
                                           T[] scaled,
                                           Array2DRowFieldMatrix<T> nordsieck,
                                           boolean isForward,
                                           FieldODEStateAndDerivative<T> globalPreviousState,
                                           FieldODEStateAndDerivative<T> globalCurrentState,
                                           FieldODEStateAndDerivative<T> softPreviousState,
                                           FieldODEStateAndDerivative<T> softCurrentState,
                                           FieldEquationsMapper<T> equationsMapper)
        Simple constructor.
        Parameters:
        stepSize - step size used in the scaled and Nordsieck arrays
        reference - reference state from which Taylor expansion are estimated
        scaled - first scaled derivative
        nordsieck - Nordsieck vector
        isForward - integration direction indicator
        globalPreviousState - start of the global step
        globalCurrentState - end of the global step
        softPreviousState - start of the restricted step
        softCurrentState - end of the restricted step
        equationsMapper - mapper for ODE equations primary and secondary components
    • Method Detail

      • computeInterpolatedStateAndDerivatives

        protected FieldODEStateAndDerivative<T> computeInterpolatedStateAndDerivatives​(FieldEquationsMapper<T> equationsMapper,
                                                                                       T time,
                                                                                       T theta,
                                                                                       T thetaH,
                                                                                       T oneMinusThetaH)
        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.
        Specified by:
        computeInterpolatedStateAndDerivatives in class AbstractFieldStepInterpolator<T extends RealFieldElement<T>>
        Parameters:
        equationsMapper - mapper for ODE equations primary and secondary components
        time - interpolation time
        theta - 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 time
        oneMinusThetaH - time gap between the interpolated time and the current time
        Returns:
        interpolated state and derivatives
      • taylor

        public static <S extends RealFieldElement<S>> FieldODEStateAndDerivative<S> taylor​(FieldODEStateAndDerivative<S> reference,
                                                                                           S time,
                                                                                           S stepSize,
                                                                                           S[] scaled,
                                                                                           Array2DRowFieldMatrix<S> nordsieck)
        Estimate state by applying Taylor formula.
        Type Parameters:
        S - the type of the field elements
        Parameters:
        reference - reference state
        time - time at which state must be estimated
        stepSize - step size used in the scaled and Nordsieck arrays
        scaled - first scaled derivative
        nordsieck - Nordsieck vector
        Returns:
        estimated state