| Copyright | (c) Brent Yorgey 2016 |
|---|---|
| License | BSD3 (see LICENSE) |
| Maintainer | byorgey@gmail.com |
| Stability | experimental |
| Portability | non-portable (multi-param classes, functional dependencies, undecidable instances) |
| Safe Haskell | Trustworthy |
| Language | Haskell2010 |
Control.Monad.Trans.Random.Lazy
Description
Lazy random monads, passing a random number generator through a computation. See below for examples.
For a strict version with the same interface, see Control.Monad.Trans.Random.Strict .
Synopsis
- type Rand g = RandT g Identity
- liftRand :: (g -> (a, g)) -> Rand g a
- runRand :: Rand g a -> g -> (a, g)
- evalRand :: Rand g a -> g -> a
- execRand :: Rand g a -> g -> g
- mapRand :: ((a, g) -> (b, g)) -> Rand g a -> Rand g b
- withRand :: (g -> g) -> Rand g a -> Rand g a
- evalRandIO :: Rand StdGen a -> IO a
- data RandT g m a
- liftRandT :: (g -> m (a, g)) -> RandT g m a
- runRandT :: RandT g m a -> g -> m (a, g)
- evalRandT :: Monad m => RandT g m a -> g -> m a
- execRandT :: Monad m => RandT g m a -> g -> m g
- mapRandT :: (m (a, g) -> n (b, g)) -> RandT g m a -> RandT g n b
- withRandT :: (g -> g) -> RandT g m a -> RandT g m a
- liftCallCC :: CallCC m (a, g) (b, g) -> CallCC ( RandT g m) a b
- liftCallCC' :: CallCC m (a, g) (b, g) -> CallCC ( RandT g m) a b
- liftCatch :: Catch e m (a, g) -> Catch e ( RandT g m) a
- liftListen :: Monad m => Listen w m (a, g) -> Listen w ( RandT g m) a
- liftPass :: Monad m => Pass w m (a, g) -> Pass w ( RandT g m) a
- evalRandTIO :: MonadIO m => RandT StdGen m a -> m a
- data RandGen g = RandGen
- withRandGen :: g -> ( RandGen g -> RandT g m a) -> m (a, g)
- withRandGen_ :: Monad m => g -> ( RandGen g -> RandT g m a) -> m a
The Rand monad transformer
Arguments
| :: (g -> (a, g)) |
pure random transformer |
| -> Rand g a |
equivalent generator-passing computation |
Construct a random monad computation from a function.
(The inverse of
runRand
.)
Arguments
| :: Rand g a |
generator-passing computation to execute |
| -> g |
initial generator |
| -> (a, g) |
return value and final generator |
Unwrap a random monad computation as a function.
(The inverse of
liftRand
.)
Arguments
| :: Rand g a |
generator-passing computation to execute |
| -> g |
initial generator |
| -> a |
return value of the random computation |
Arguments
| :: Rand g a |
generator-passing computation to execute |
| -> g |
initial generator |
| -> g |
final generator |
evalRandIO :: Rand StdGen a -> IO a Source #
Evaluate a random computation in the
IO
monad, splitting the global
standard generator to get a new one for the computation.
The RandT monad transformer
A random transformer monad parameterized by:
-
g- The generator. -
m- The inner monad.
The
return
function leaves the generator unchanged, while
>>=
uses the
final generator of the first computation as the initial generator of the
second.
Instances
Arguments
| :: (g -> m (a, g)) |
impure random transformer |
| -> RandT g m a |
equivalent generator-passing computation |
Construct a random monad computation from an impure function.
(The inverse of
runRandT
.)
Arguments
| :: RandT g m a |
generator-passing computation to execute |
| -> g |
initial generator |
| -> m (a, g) |
return value and final generator |
Unwrap a random monad computation as an impure function.
(The inverse of
liftRandT
.)
Lifting other operations
liftCallCC :: CallCC m (a, g) (b, g) -> CallCC ( RandT g m) a b Source #
Uniform lifting of a
callCC
operation to the new monad.
This version rolls back to the original state on entering the
continuation.
liftCallCC' :: CallCC m (a, g) (b, g) -> CallCC ( RandT g m) a b Source #
In-situ lifting of a
callCC
operation to the new monad.
This version uses the current state on entering the continuation.
It does not satisfy the uniformity property (see
Control.Monad.Signatures
).
liftCatch :: Catch e m (a, g) -> Catch e ( RandT g m) a Source #
Lift a
catchE
operation to the new monad.
liftListen :: Monad m => Listen w m (a, g) -> Listen w ( RandT g m) a Source #
Lift a
listen
operation to the new monad.
liftPass :: Monad m => Pass w m (a, g) -> Pass w ( RandT g m) a Source #
Lift a
pass
operation to the new monad.
evalRandTIO :: MonadIO m => RandT StdGen m a -> m a Source #
Evaluate a random computation that is embedded in the
IO
monad,
splitting the global standard generator to get a new one for the
computation.
StatefulGen interface
A proxy that carries information about the type of generator to use with
RandT
monad and its
StatefulGen
instance.
Since: 0.5.3
Constructors
| RandGen |
Instances
Arguments
| :: g |
initial generator |
| -> ( RandGen g -> RandT g m a) | |
| -> m (a, g) |
return value and final generator |
A
RandT
runner that allows using it with
StatefulGen
restricted actions. Returns
the outcome of random computation and the new pseudo-random-number generator
>>>withRandGen (mkStdGen 2021) uniformM :: IO (Int, StdGen)(6070831465987696718,StdGen {unStdGen = SMGen 4687568268719557181 4805600293067301895})
Since: 0.5.3
Arguments
| :: Monad m | |
| => g |
initial generator |
| -> ( RandGen g -> RandT g m a) | |
| -> m a |
return value and final generator |
Same as
withRandGen
, but discards the resulting generator.
>>>withRandGen_ (mkStdGen 2021) uniformM :: IO Int6070831465987696718
Since: 0.5.3
Examples
Random monads
The
die
function simulates the roll of a die, picking a number between 1
and 6, inclusive, and returning it in the
Rand
monad transformer. Notice
that this code will work with any random number generator
g
.
die :: (RandomGen g) => Rand g Int die = getRandomR (1, 6)
The
dice
function uses
replicate
and
sequence
to simulate the roll of
n
dice.
dice :: (RandomGen g) => Int -> Rand g [Int] dice n = sequence (replicate n die)
To extract a value from the
Rand
monad transformer, we can use
evalRandIO
.
main = do values <- evalRandIO (dice 2) putStrLn (show values)