Interface FieldODEEventDetector<T extends CalculusFieldElement<T>>

 Type Parameters:
T
 the type of the field elements
 All Known Implementing Classes:
AbstractFieldODEDetector
,FieldEventSlopeFilter
public interface FieldODEEventDetector<T extends CalculusFieldElement<T>>
This interface represents a handler for discrete events triggered during ODE integration.Some events can be triggered at discrete times as an ODE problem is solved. This occurs for example when the integration process should be stopped as some state is reached (Gstop facility) when the precise date is unknown a priori, or when the derivatives have states boundaries crossings.
These events are defined as occurring when a
g
switching function sign changes.Since events are only problemdependent and are triggered by the independent time variable and the state vector, they can occur at virtually any time, unknown in advance. The integrators will take care to avoid sign changes inside the steps, they will reduce the step size when such an event is detected in order to put this event exactly at the end of the current step. This guarantees that step interpolation (which always has a one step scope) is relevant even in presence of discontinuities. This is independent from the stepsize control provided by integrators that monitor the local error (this event handling feature is available for all integrators, including fixed step ones).
Note that prior to Hipparchus 3.0, the methods in this interface were in the
FieldODEEventHandler
interface and the defunctFieldEventHandlerConfiguration
interface. The interfaces have been reorganized to allow different objects to be used in event detection and event handling, hence allowing users to reuse predefined events detectors with custom handlers. Since:
 3.0
 See Also:
org.hipparchus.ode.events


Method Summary
All Methods Instance Methods Abstract Methods Default Methods Modifier and Type Method Description T
g(FieldODEStateAndDerivative<T> state)
Compute the value of the switching function.FieldODEEventHandler<T>
getHandler()
Get the underlying event handler.FieldAdaptableInterval<T>
getMaxCheckInterval()
Get the maximal time interval between events handler checks.int
getMaxIterationCount()
Get the upper limit in the iteration count for event localization.BracketedRealFieldUnivariateSolver<T>
getSolver()
Get the rootfinding algorithm to use to detect state events.default void
init(FieldODEStateAndDerivative<T> initialState, T finalTime)
Initialize event handler at the start of an ODE integration.



Method Detail

getMaxCheckInterval
FieldAdaptableInterval<T> getMaxCheckInterval()
Get the maximal time interval between events handler checks. Returns:
 maximal time interval between events handler checks

getMaxIterationCount
int getMaxIterationCount()
Get the upper limit in the iteration count for event localization. Returns:
 upper limit in the iteration count for event localization

getSolver
BracketedRealFieldUnivariateSolver<T> getSolver()
Get the rootfinding algorithm to use to detect state events. Returns:
 rootfinding algorithm to use to detect state events

getHandler
FieldODEEventHandler<T> getHandler()
Get the underlying event handler. Returns:
 underlying event handler

init
default void init(FieldODEStateAndDerivative<T> initialState, T finalTime)
Initialize event handler at the start of an ODE integration.This method is called once at the start of the integration. It may be used by the event handler to initialize some internal data if needed.
The default implementation does nothing
 Parameters:
initialState
 initial time, state vector and derivativefinalTime
 target time for the integration

g
T g(FieldODEStateAndDerivative<T> state)
Compute the value of the switching function.The discrete events are generated when the sign of this switching function changes. The integrator will take care to change the stepsize in such a way these events occur exactly at step boundaries. The switching function must be continuous in its roots neighborhood (but not necessarily smooth), as the integrator will need to find its roots to locate precisely the events.
Also note that the integrator expect that once an event has occurred, the sign of the switching function at the start of the next step (i.e. just after the event) is the opposite of the sign just before the event. This consistency between the steps must be preserved, otherwise
exceptions
related to root not being bracketed will occur.This need for consistency is sometimes tricky to achieve. A typical example is using an event to model a ball bouncing on the floor. The first idea to represent this would be to have
g(state) = h(state)
where h is the height above the floor at timestate.getTime()
. Wheng(state)
reaches 0, the ball is on the floor, so it should bounce and the typical way to do this is to reverse its vertical velocity. However, this would mean that before the eventg(state)
was decreasing from positive values to 0, and after the eventg(state)
would be increasing from 0 to positive values again. Consistency is broken here! The solution here is to haveg(state) = sign * h(state)
, where sign is a variable with initial value set to+1
. Each timeeventOccurred
method is called,sign
is reset tosign
. This allows theg(state)
function to remain continuous (and even smooth) even across events, despiteh(state)
is not. Basically, the event is used to foldh(state)
at bounce points, andsign
is used to unfold it back, so the solvers sees ag(state)
function which behaves smoothly even across events.This method is idempotent, that is calling this multiple times with the same state will result in the same value, with two exceptions. First, the definition of the g function may change when an
event occurs
on the handler, as in the above example. Second, the definition of the g function may change when theevent occurs
method of any other event handler in the same integrator returnsAction.RESET_EVENTS
,Action.RESET_DERIVATIVES
, orAction.RESET_STATE
. Parameters:
state
 current value of the independent time variable, state vector and derivative Returns:
 value of the g switching function

