Simulation.Aivika.Generator

Tested with: GHC 8.0.1

Below is defined a type class of the random number generator.

Documentation

data Generator

Defines a random number generator.

Constructors

Generator

Fields

• generateUniform :: Double -> Double -> IO Double

  Generate an uniform random number with the specified minimum and maximum.

• generateUniformInt :: Int -> Int -> IO Int

  Generate an uniform integer random number with the specified minimum and maximum.

• generateTriangular :: Double -> Double -> Double -> IO Double

  Generate a triangular random number by the specified minimum, median and maximum.

• generateNormal :: Double -> Double -> IO Double

  Generate the normal random number with the specified mean and deviation.

• generateLogNormal :: Double -> Double -> IO Double

  Generate a random number from the lognormal distribution derived from a normal distribution with the specified mean and deviation.

• generateExponential :: Double -> IO Double

  Generate the random number distributed exponentially with the specified mean (the reciprocal of the rate).

• generateErlang :: Double -> Int -> IO Double

  Generate the Erlang random number with the specified scale (the reciprocal of the rate) and integer shape.

• generatePoisson :: Double -> IO Int

  Generate the Poisson random number with the specified mean.

• generateBinomial :: Double -> Int -> IO Int

  Generate the binomial random number with the specified probability and number of trials.

• generateGamma :: Double -> Double -> IO Double

  Generate a random number from the Gamma distribution with the specified shape (kappa) and scale (theta, a reciprocal of the rate).

  The probability density for the Gamma distribution is

  f x = x ** (kappa - 1) * exp (- x / theta) / theta ** kappa * Gamma kappa

• generateBeta :: Double -> Double -> IO Double

  Generate a random number from the Beta distribution by the specified shape parameters (alpha and beta).

  The probability density for the Beta distribution is

  f x = x ** (alpha - 1) * (1 - x) ** (beta - 1) / B alpha beta

• generateWeibull :: Double -> Double -> IO Double

  Generate a random number from the Weibull distribution by the specified shape and scale.

• generateDiscrete :: forall a. DiscretePDF a -> IO a

  Generate a random value from the specified discrete distribution.

data GeneratorType

Defines a type of the random number generator.

Constructors

SimpleGenerator

The simple random number generator.

SimpleGeneratorWithSeed Int

The simple random number generator with the specified seed.

CustomGenerator (IO Generator)

The custom random number generator.

CustomGenerator01 (IO Double)

The custom random number generator by the specified uniform generator of numbers from 0 to 1.

type DiscretePDF a = [(a, Double)]

A discrete probability density function.

newGenerator :: GeneratorType -> IO Generator

Create a new random number generator by the specified type.

newRandomGenerator :: RandomGen g => g -> IO Generator

Create a new random generator by the specified standard generator.

newRandomGenerator01 :: IO Double -> IO Generator

Create a new random generator by the specified uniform generator of numbers from 0 to 1.