Copyright	Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
License	BSD3
Maintainer	David Sorokin <david.sorokin@gmail.com>
Stability	experimental
Safe Haskell	Safe-Inferred
Language	Haskell2010

Simulation.Aivika.Trans.Dynamics.Random

Description

Tested with: GHC 7.8.3

This module defines the random functions that always return the same values in the integration time points within a single simulation run. The values for another simulation run will be regenerated anew.

For example, the computations returned by these functions can be used in the equations of System Dynamics.

Also it is worth noting that the values are generated in a strong order starting from starttime with step dt. This is how the memo0Dynamics function actually works.

Synopsis

Documentation

memoRandomUniformDynamics Source

Arguments

:: MonadComp m
=> Dynamics m Double	minimum
-> Dynamics m Double	maximum
-> Simulation m (Dynamics m Double)

Computation that generates random numbers distributed uniformly and memoizes them in the integration time points.

memoRandomUniformIntDynamics Source

Arguments

:: MonadComp m
=> Dynamics m Int	minimum
-> Dynamics m Int	maximum
-> Simulation m (Dynamics m Int)

Computation that generates random integer numbers distributed uniformly and memoizes them in the integration time points.

memoRandomNormalDynamics Source

Arguments

:: MonadComp m
=> Dynamics m Double	mean
-> Dynamics m Double	deviation
-> Simulation m (Dynamics m Double)

Computation that generates random numbers distributed normally and memoizes them in the integration time points.

memoRandomExponentialDynamics Source

Arguments

:: MonadComp m
=> Dynamics m Double	the mean (the reciprocal of the rate)
-> Simulation m (Dynamics m Double)

Computation that generates exponential random numbers with the specified mean (the reciprocal of the rate) and memoizes them in the integration time points.

memoRandomErlangDynamics Source

Arguments

:: MonadComp m
=> Dynamics m Double	the scale (the reciprocal of the rate)
-> Dynamics m Int	the shape
-> Simulation m (Dynamics m Double)

Computation that generates the Erlang random numbers with the specified scale (the reciprocal of the rate) and integer shape but memoizes them in the integration time points.

memoRandomPoissonDynamics Source

Arguments

:: MonadComp m
=> Dynamics m Double	the mean
-> Simulation m (Dynamics m Int)

Computation that generats the Poisson random numbers with the specified mean and memoizes them in the integration time points.

memoRandomBinomialDynamics Source

Arguments

:: MonadComp m
=> Dynamics m Double	the probability
-> Dynamics m Int	the number of trials
-> Simulation m (Dynamics m Int)

Computation that generates binomial random numbers with the specified probability and trials but memoizes them in the integration time points.