Copyright | Copyright (c) 2009-2016, David Sorokin <david.sorokin@gmail.com> |
---|---|

License | BSD3 |

Maintainer | David Sorokin <david.sorokin@gmail.com> |

Stability | experimental |

Safe Haskell | None |

Language | Haskell2010 |

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.

- memoDynamics :: Dynamics e -> Simulation (Dynamics e)
- memo0Dynamics :: Dynamics e -> Simulation (Dynamics e)
- iterateDynamics :: Dynamics () -> Simulation (Dynamics ())
- unzipDynamics :: Dynamics (a, b) -> Simulation (Dynamics a, Dynamics b)
- unzip0Dynamics :: Dynamics (a, b) -> Simulation (Dynamics a, Dynamics b)

# Documentation

memoDynamics :: Dynamics e -> Simulation (Dynamics e) Source #

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 e -> Simulation (Dynamics e) Source #

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 () -> Simulation (Dynamics ()) Source #

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.

unzipDynamics :: Dynamics (a, b) -> Simulation (Dynamics a, Dynamics b) Source #

Memoize and unzip the computation of pairs, applying the `memoDynamics`

function.

unzip0Dynamics :: Dynamics (a, b) -> Simulation (Dynamics a, Dynamics b) Source #

Memoize and unzip the computation of pairs, applying the `memo0Dynamics`

function.