Copyright | Copyright (c) 2009-2014, 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 7.8.3

This module defines auxiliary functions such as interpolation ones that complement the memoization, for example. There are scan functions too.

- initDynamics :: Dynamics a -> Dynamics a
- discreteDynamics :: Dynamics a -> Dynamics a
- interpolateDynamics :: Dynamics a -> Dynamics a
- scanDynamics :: (a -> b -> a) -> a -> (Dynamics a -> Simulation (Dynamics a)) -> Dynamics b -> Simulation (Dynamics a)
- scan1Dynamics :: (a -> a -> a) -> (Dynamics a -> Simulation (Dynamics a)) -> Dynamics a -> Simulation (Dynamics a)

# Interpolation

initDynamics :: Dynamics a -> Dynamics a Source

Return the initial value.

discreteDynamics :: Dynamics a -> Dynamics a Source

Discretize the computation in the integration time points.

interpolateDynamics :: Dynamics a -> Dynamics a Source

Interpolate the computation based on the integration time points only.
Unlike the `discreteDynamics`

function it knows about the intermediate
time points that are used in the Runge-Kutta method.

# Scans

scanDynamics :: (a -> b -> a) -> a -> (Dynamics a -> Simulation (Dynamics a)) -> Dynamics b -> Simulation (Dynamics a) Source

Like the standard `scanl`

function but applied to values in
the integration time points. The accumulator values are transformed
according to the third argument, which should be either function
`memo0Dynamics`

or its unboxed version.

scan1Dynamics :: (a -> a -> a) -> (Dynamics a -> Simulation (Dynamics a)) -> Dynamics a -> Simulation (Dynamics a) Source

Like the standard `scanl1`

function but applied to values in
the integration time points. The accumulator values are transformed
according to the second argument, which should be either function
`memo0Dynamics`

or its unboxed version.