Simulation.Aivika.Trans.Dynamics

Tested with: GHC 8.0.1

The module defines the Dynamics monad tranformer representing a time varying polymorphic function.

Dynamics Monad

data Dynamics m a

A value in the Dynamics monad represents a polymorphic time varying function defined in the whole spectrum of time values as a single entity. It is ideal for numerical approximating integrals.

Instances

MonadTrans Dynamics

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

lift :: Monad m => m a -> Dynamics m a

Monad m => MonadCompTrans Dynamics m

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

liftComp :: m a -> Dynamics m a

Monad m => DynamicsLift Dynamics m

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

liftDynamics :: Dynamics m a -> Dynamics m a

Monad m => ParameterLift Dynamics m

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

liftParameter :: Parameter m a -> Dynamics m a

Monad m => SimulationLift Dynamics m

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

liftSimulation :: Simulation m a -> Dynamics m a

MonadDES m => ResultComputing Dynamics m

Defined in Simulation.Aivika.Trans.Results

Methods

computeResultData :: Dynamics m a -> ResultData a m

computeResultSignal :: Dynamics m a -> ResultSignal m

Monad m => MonadFail (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

fail :: String -> Dynamics m a

MonadFix m => MonadFix (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

mfix :: (a -> Dynamics m a) -> Dynamics m a

MonadIO m => MonadIO (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

liftIO :: IO a -> Dynamics m a

Applicative m => Applicative (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

pure :: a -> Dynamics m a

(<*>) :: Dynamics m (a -> b) -> Dynamics m a -> Dynamics m b

liftA2 :: (a -> b -> c) -> Dynamics m a -> Dynamics m b -> Dynamics m c

(*>) :: Dynamics m a -> Dynamics m b -> Dynamics m b

(<*) :: Dynamics m a -> Dynamics m b -> Dynamics m a

Functor m => Functor (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

fmap :: (a -> b) -> Dynamics m a -> Dynamics m b

(<$) :: a -> Dynamics m b -> Dynamics m a

Monad m => Monad (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

(>>=) :: Dynamics m a -> (a -> Dynamics m b) -> Dynamics m b

(>>) :: Dynamics m a -> Dynamics m b -> Dynamics m b

return :: a -> Dynamics m a

MonadException m => MonadCatch (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

catch :: Exception e => Dynamics m a -> (e -> Dynamics m a) -> Dynamics m a

(MonadException m, MonadMask m) => MonadMask (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

mask :: ((forall a. Dynamics m a -> Dynamics m a) -> Dynamics m b) -> Dynamics m b

uninterruptibleMask :: ((forall a. Dynamics m a -> Dynamics m a) -> Dynamics m b) -> Dynamics m b

generalBracket :: Dynamics m a -> (a -> ExitCase b -> Dynamics m c) -> (a -> Dynamics m b) -> Dynamics m (b, c)

MonadException m => MonadThrow (Dynamics m)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

throwM :: Exception e => e -> Dynamics m a

(Floating a, Monad m) => Floating (Dynamics m a)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

pi :: Dynamics m a

exp :: Dynamics m a -> Dynamics m a

log :: Dynamics m a -> Dynamics m a

sqrt :: Dynamics m a -> Dynamics m a

(**) :: Dynamics m a -> Dynamics m a -> Dynamics m a

logBase :: Dynamics m a -> Dynamics m a -> Dynamics m a

sin :: Dynamics m a -> Dynamics m a

cos :: Dynamics m a -> Dynamics m a

tan :: Dynamics m a -> Dynamics m a

asin :: Dynamics m a -> Dynamics m a

acos :: Dynamics m a -> Dynamics m a

atan :: Dynamics m a -> Dynamics m a

sinh :: Dynamics m a -> Dynamics m a

cosh :: Dynamics m a -> Dynamics m a

tanh :: Dynamics m a -> Dynamics m a

asinh :: Dynamics m a -> Dynamics m a

acosh :: Dynamics m a -> Dynamics m a

atanh :: Dynamics m a -> Dynamics m a

log1p :: Dynamics m a -> Dynamics m a

expm1 :: Dynamics m a -> Dynamics m a

log1pexp :: Dynamics m a -> Dynamics m a

log1mexp :: Dynamics m a -> Dynamics m a

(Num a, Monad m) => Num (Dynamics m a)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

(+) :: Dynamics m a -> Dynamics m a -> Dynamics m a

(-) :: Dynamics m a -> Dynamics m a -> Dynamics m a

(*) :: Dynamics m a -> Dynamics m a -> Dynamics m a

negate :: Dynamics m a -> Dynamics m a

abs :: Dynamics m a -> Dynamics m a

signum :: Dynamics m a -> Dynamics m a

fromInteger :: Integer -> Dynamics m a

(Fractional a, Monad m) => Fractional (Dynamics m a)

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

(/) :: Dynamics m a -> Dynamics m a -> Dynamics m a

recip :: Dynamics m a -> Dynamics m a

fromRational :: Rational -> Dynamics m a

(MonadDES m, ResultItemable (ResultValue a), ResultItemable (ResultValue (SamplingStats a))) => ResultProvider (Dynamics m (SamplingCounter a)) m

Defined in Simulation.Aivika.Trans.Results

Methods

resultSource :: ResultName -> ResultDescription -> Dynamics m (SamplingCounter a) -> ResultSource m

resultSource3 :: ResultName -> ResultDescription -> ResultDescription -> Dynamics m (SamplingCounter a) -> ResultSource m

resultSource' :: ResultName -> [ResultName] -> ResultId -> [ResultId] -> Dynamics m (SamplingCounter a) -> ResultSource m

(MonadDES m, ResultItemable (ResultValue a), ResultItemable (ResultValue (TimingStats a))) => ResultProvider (Dynamics m (TimingCounter a)) m

Defined in Simulation.Aivika.Trans.Results

Methods

resultSource :: ResultName -> ResultDescription -> Dynamics m (TimingCounter a) -> ResultSource m

resultSource3 :: ResultName -> ResultDescription -> ResultDescription -> Dynamics m (TimingCounter a) -> ResultSource m

resultSource' :: ResultName -> [ResultName] -> ResultId -> [ResultId] -> Dynamics m (TimingCounter a) -> ResultSource m

(Ix i, Show i, MonadDES m, ResultItemable (ResultValue [e])) => ResultProvider (Dynamics m (Array i e)) m

Defined in Simulation.Aivika.Trans.Results

Methods

resultSource :: ResultName -> ResultDescription -> Dynamics m (Array i e) -> ResultSource m

resultSource3 :: ResultName -> ResultDescription -> ResultDescription -> Dynamics m (Array i e) -> ResultSource m

resultSource' :: ResultName -> [ResultName] -> ResultId -> [ResultId] -> Dynamics m (Array i e) -> ResultSource m

(MonadDES m, ResultItemable (ResultValue [e])) => ResultProvider (Dynamics m (Vector e)) m

Defined in Simulation.Aivika.Trans.Results

Methods

resultSource :: ResultName -> ResultDescription -> Dynamics m (Vector e) -> ResultSource m

resultSource3 :: ResultName -> ResultDescription -> ResultDescription -> Dynamics m (Vector e) -> ResultSource m

resultSource' :: ResultName -> [ResultName] -> ResultId -> [ResultId] -> Dynamics m (Vector e) -> ResultSource m

(MonadDES m, ResultItemable (ResultValue a)) => ResultProvider (Dynamics m a) m

Defined in Simulation.Aivika.Trans.Results

Methods

resultSource :: ResultName -> ResultDescription -> Dynamics m a -> ResultSource m

resultSource3 :: ResultName -> ResultDescription -> ResultDescription -> Dynamics m a -> ResultSource m

resultSource' :: ResultName -> [ResultName] -> ResultId -> [ResultId] -> Dynamics m a -> ResultSource m

class DynamicsLift t m where

A type class to lift the Dynamics computations into other computations.

Methods

liftDynamics :: Dynamics m a -> t m a

Lift the specified Dynamics computation into another computation.

Instances

Monad m => DynamicsLift Composite m

Defined in Simulation.Aivika.Trans.Composite

Methods

liftDynamics :: Dynamics m a -> Composite m a

MonadDES m => DynamicsLift Cont m

Defined in Simulation.Aivika.Trans.Internal.Cont

Methods

liftDynamics :: Dynamics m a -> Cont m a

MonadDES m => DynamicsLift Process m

Defined in Simulation.Aivika.Trans.Internal.Process

Methods

liftDynamics :: Dynamics m a -> Process m a

Monad m => DynamicsLift Dynamics m

Defined in Simulation.Aivika.Trans.Internal.Dynamics

Methods

liftDynamics :: Dynamics m a -> Dynamics m a

Monad m => DynamicsLift Event m

Defined in Simulation.Aivika.Trans.Internal.Event

Methods

liftDynamics :: Dynamics m a -> Event m a

runDynamicsInStartTime :: Dynamics m a -> Simulation m a

Run the Dynamics computation in the initial time point.

runDynamicsInStopTime :: Dynamics m a -> Simulation m a

Run the Dynamics computation in the final time point.

runDynamicsInIntegTimes :: Monad m => Dynamics m a -> Simulation m [m a]

Run the Dynamics computation in all integration time points.

runDynamicsInTime :: Double -> Dynamics m a -> Simulation m a

Run the Dynamics computation in the specified time point.

runDynamicsInTimes :: Monad m => [Double] -> Dynamics m a -> Simulation m [m a]

Run the Dynamics computation in the specified time points.

Error Handling

catchDynamics :: (MonadException m, Exception e) => Dynamics m a -> (e -> Dynamics m a) -> Dynamics m a

Exception handling within Dynamics computations.

finallyDynamics :: MonadException m => Dynamics m a -> Dynamics m b -> Dynamics m a

A computation with finalization part like the finally function.

throwDynamics :: (MonadException m, Exception e) => e -> Dynamics m a

Like the standard throw function.

Simulation Time

time :: Monad m => Dynamics m Double

Computation that returns the current simulation time.

isTimeInteg :: Monad m => Dynamics m Bool

Whether the current time is an integration time.

integIteration :: Monad m => Dynamics m Int

Return the integration iteration closest to the current simulation time.

integPhase :: Monad m => Dynamics m Int

Return the integration phase for the current simulation time. It is (-1) for non-integration time points.

Debugging

traceDynamics :: Monad m => String -> Dynamics m a -> Dynamics m a

Show the debug message with the current simulation time.