Simulation.Aivika.Trans.Dynamics.Memo

Tested with: GHC 8.0.1

This module defines memo functions. The memoization creates such Dynamics computations, which values are cached in the integration time points. Then these values are interpolated in all other time points.

Documentation

class Monad m => MonadMemo m where

A monad with the support of memoisation.

Minimal complete definition

memoDynamics, memo0Dynamics, iterateDynamics

Methods

memoDynamics :: Dynamics m e -> Simulation m (Dynamics m e)

Memoize and order the computation in the integration time points using the interpolation that knows of the Runge-Kutta method. The values are calculated sequentially starting from starttime.

memo0Dynamics :: Dynamics m e -> Simulation m (Dynamics m e)

Memoize and order the computation in the integration time points using the discreteDynamics interpolation. It consumes less memory than the memoDynamics function but it is not aware of the Runge-Kutta method. There is a subtle difference when we request for values in the intermediate time points that are used by this method to integrate. In general case you should prefer the memo0Dynamics function above memoDynamics.

iterateDynamics :: Dynamics m () -> Simulation m (Dynamics m ())

Iterate sequentially the dynamic process with side effects in the integration time points. It is equivalent to a call of the memo0Dynamics function but significantly more efficient, for the array is not created.

Instances

MonadMemo IO

The IO monad is an instance of the MonadMemo type class.

Defined in Simulation.Aivika.IO.Dynamics.Memo

Methods

memoDynamics :: Dynamics IO e -> Simulation IO (Dynamics IO e)

memo0Dynamics :: Dynamics IO e -> Simulation IO (Dynamics IO e)

iterateDynamics :: Dynamics IO () -> Simulation IO (Dynamics IO ())

unzipDynamics :: MonadMemo m => Dynamics m (a, b) -> Simulation m (Dynamics m a, Dynamics m b)

Memoize and unzip the computation of pairs, applying the memoDynamics function.

unzip0Dynamics :: MonadMemo m => Dynamics m (a, b) -> Simulation m (Dynamics m a, Dynamics m b)

Memoize and unzip the computation of pairs, applying the memo0Dynamics function.