System.Random.PCG.Pure

Standard PCG Random Number Generator with chosen streams, written in pure haskell. See http://www.pcg-random.org for details.

import Control.Monad.ST
import System.Random.PCG.Pure

three :: [Double]
three = runST $ do
  g <- create
  a <- uniform g
  b <- uniform g
  c <- uniform g
  return [a,b,c]

Gen

data Gen s

State of the random number generator

Instances

(PrimMonad m, s ~ PrimState m) => Generator (Gen s) m

Defined in System.Random.PCG.Pure

Methods

uniform1 :: (Word32 -> a) -> Gen s -> m a

uniform2 :: (Word32 -> Word32 -> a) -> Gen s -> m a

uniform1B :: Integral a => (Word32 -> a) -> Word32 -> Gen s -> m a

type GenIO = Gen RealWorld

type GenST = Gen

create :: PrimMonad m => m (Gen (PrimState m))

Create a Gen from a fixed initial seed.

createSystemRandom :: IO GenIO

Seed with system random number. (/dev/urandom on Unix-like systems and CryptAPI on Windows).

initialize :: PrimMonad m => Word64 -> Word64 -> m (Gen (PrimState m))

Initialize a generator a single word.

>>> Pure.initialize 0 0 >>= Pure.save
SetSeq 6364136223846793006 1

withSystemRandom :: (GenIO -> IO a) -> IO a

Seed with system random number. (/dev/urandom on Unix-like systems and CryptAPI on Windows).

Getting random numbers

class Variate a where

Methods

uniform :: Generator g m => g -> m a

Generate a uniformly distributed random vairate.

• Use entire range for integral types.
• Use (0,1] range for floating types.

uniformR :: Generator g m => (a, a) -> g -> m a

Generate a uniformly distributed random vairate in the given range.

• Use inclusive range for integral types.
• Use (a,b] range for floating types.

uniformB :: Generator g m => a -> g -> m a

Generate a uniformly distributed random vairate in the range [0,b). For integral types the bound must be less than the max bound of Word32 (4294967295). Behaviour is undefined for negative bounds.

Instances

Variate Bool

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Bool

uniformR :: Generator g m => (Bool, Bool) -> g -> m Bool

uniformB :: Generator g m => Bool -> g -> m Bool

Variate Double

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Double

uniformR :: Generator g m => (Double, Double) -> g -> m Double

uniformB :: Generator g m => Double -> g -> m Double

Variate Float

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Float

uniformR :: Generator g m => (Float, Float) -> g -> m Float

uniformB :: Generator g m => Float -> g -> m Float

Variate Int

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Int

uniformR :: Generator g m => (Int, Int) -> g -> m Int

uniformB :: Generator g m => Int -> g -> m Int

Variate Int8

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Int8

uniformR :: Generator g m => (Int8, Int8) -> g -> m Int8

uniformB :: Generator g m => Int8 -> g -> m Int8

Variate Int16

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Int16

uniformR :: Generator g m => (Int16, Int16) -> g -> m Int16

uniformB :: Generator g m => Int16 -> g -> m Int16

Variate Int32

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Int32

uniformR :: Generator g m => (Int32, Int32) -> g -> m Int32

uniformB :: Generator g m => Int32 -> g -> m Int32

Variate Int64

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Int64

uniformR :: Generator g m => (Int64, Int64) -> g -> m Int64

uniformB :: Generator g m => Int64 -> g -> m Int64

Variate Word

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Word

uniformR :: Generator g m => (Word, Word) -> g -> m Word

uniformB :: Generator g m => Word -> g -> m Word

Variate Word8

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Word8

uniformR :: Generator g m => (Word8, Word8) -> g -> m Word8

uniformB :: Generator g m => Word8 -> g -> m Word8

Variate Word16

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Word16

uniformR :: Generator g m => (Word16, Word16) -> g -> m Word16

uniformB :: Generator g m => Word16 -> g -> m Word16

Variate Word32

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Word32

uniformR :: Generator g m => (Word32, Word32) -> g -> m Word32

uniformB :: Generator g m => Word32 -> g -> m Word32

Variate Word64

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m Word64

uniformR :: Generator g m => (Word64, Word64) -> g -> m Word64

uniformB :: Generator g m => Word64 -> g -> m Word64

(Variate a, Variate b) => Variate (a, b)

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m (a, b)

uniformR :: Generator g m => ((a, b), (a, b)) -> g -> m (a, b)

uniformB :: Generator g m => (a, b) -> g -> m (a, b)

(Variate a, Variate b, Variate c) => Variate (a, b, c)

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m (a, b, c)

uniformR :: Generator g m => ((a, b, c), (a, b, c)) -> g -> m (a, b, c)

uniformB :: Generator g m => (a, b, c) -> g -> m (a, b, c)

(Variate a, Variate b, Variate c, Variate d) => Variate (a, b, c, d)

Defined in System.Random.PCG.Class

Methods

uniform :: Generator g m => g -> m (a, b, c, d)

uniformR :: Generator g m => ((a, b, c, d), (a, b, c, d)) -> g -> m (a, b, c, d)

uniformB :: Generator g m => (a, b, c, d) -> g -> m (a, b, c, d)

advance :: PrimMonad m => Word64 -> Gen (PrimState m) -> m ()

Advance the given generator n steps in log(n) time. (Note that a "step" is a single random 32-bit (or less) Variate. Data types such as Double or Word64 require two "steps".)

>>> Pure.create >>= \g -> replicateM_ 1000 (uniformW32 g) >> uniformW32 g
3640764222
>>> Pure.create >>= \g -> replicateM_ 500 (uniformD g) >> uniformW32 g
3640764222
>>> Pure.create >>= \g -> Pure.advance 1000 g >> uniformW32 g
3640764222

retract :: PrimMonad m => Word64 -> Gen (PrimState m) -> m ()

Retract the given generator n steps in log(2^64-n) time. This is just advance (-n).

>>> Pure.create >>= \g -> replicateM 3 (uniformW32 g)
[355248013,41705475,3406281715]
>>> Pure.create >>= \g -> Pure.retract 1 g >> replicateM 3 (uniformW32 g)
[19683962,355248013,41705475]

Seeds

type FrozenGen = SetSeq

save :: PrimMonad m => Gen (PrimState m) -> m SetSeq

Save the state of a Gen in a Seed.

restore :: PrimMonad m => FrozenGen -> m (Gen (PrimState m))

Restore a Gen from a Seed.

seed :: SetSeq

Fixed seed.

initFrozen :: Word64 -> Word64 -> SetSeq

Create a new generator from two words.

>>> Pure.initFrozen 0 0
SetSeq 6364136223846793006 1

Type restricted versions

uniform

uniformW8 :: Generator g m => g -> m Word8

uniformW16 :: Generator g m => g -> m Word16

uniformW32 :: Generator g m => g -> m Word32

uniformW64 :: Generator g m => g -> m Word64

uniformI8 :: Generator g m => g -> m Int8

uniformI16 :: Generator g m => g -> m Int16

uniformI32 :: Generator g m => g -> m Int32

uniformI64 :: Generator g m => g -> m Int64

uniformF :: Generator g m => g -> m Float

uniformD :: Generator g m => g -> m Double

uniformBool :: Generator g m => g -> m Bool

uniformR

uniformRW8 :: Generator g m => (Word8, Word8) -> g -> m Word8

uniformRW16 :: Generator g m => (Word16, Word16) -> g -> m Word16

uniformRW32 :: Generator g m => (Word32, Word32) -> g -> m Word32

uniformRW64 :: Generator g m => (Word64, Word64) -> g -> m Word64

uniformRI8 :: Generator g m => (Int8, Int8) -> g -> m Int8

uniformRI16 :: Generator g m => (Int16, Int16) -> g -> m Int16

uniformRI32 :: Generator g m => (Int32, Int32) -> g -> m Int32

uniformRI64 :: Generator g m => (Int64, Int64) -> g -> m Int64

uniformRF :: Generator g m => (Float, Float) -> g -> m Float

uniformRD :: Generator g m => (Double, Double) -> g -> m Double

uniformRBool :: Generator g m => (Bool, Bool) -> g -> m Bool

uniformB

uniformBW8 :: Generator g m => Word8 -> g -> m Word8

uniformBW16 :: Generator g m => Word16 -> g -> m Word16

uniformBW32 :: Generator g m => Word32 -> g -> m Word32

uniformBW64 :: Generator g m => Word64 -> g -> m Word64

uniformBI8 :: Generator g m => Int8 -> g -> m Int8

uniformBI16 :: Generator g m => Int16 -> g -> m Int16

uniformBI32 :: Generator g m => Int32 -> g -> m Int32

uniformBI64 :: Generator g m => Int64 -> g -> m Int64

uniformBF :: Generator g m => Float -> g -> m Float

uniformBD :: Generator g m => Double -> g -> m Double

uniformBBool :: Generator g m => Bool -> g -> m Bool

Pure

data SetSeq

The multiple sequence varient of the pcg random number generator.

Instances

Eq SetSeq

Defined in System.Random.PCG.Pure

Methods

(==) :: SetSeq -> SetSeq -> Bool

(/=) :: SetSeq -> SetSeq -> Bool

Data SetSeq

Defined in System.Random.PCG.Pure

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SetSeq -> c SetSeq

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c SetSeq

toConstr :: SetSeq -> Constr

dataTypeOf :: SetSeq -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c SetSeq)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c SetSeq)

gmapT :: (forall b. Data b => b -> b) -> SetSeq -> SetSeq

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SetSeq -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SetSeq -> r

gmapQ :: (forall d. Data d => d -> u) -> SetSeq -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> SetSeq -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> SetSeq -> m SetSeq

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SetSeq -> m SetSeq

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SetSeq -> m SetSeq

Ord SetSeq

Defined in System.Random.PCG.Pure

Methods

compare :: SetSeq -> SetSeq -> Ordering

(<) :: SetSeq -> SetSeq -> Bool

(<=) :: SetSeq -> SetSeq -> Bool

(>) :: SetSeq -> SetSeq -> Bool

(>=) :: SetSeq -> SetSeq -> Bool

max :: SetSeq -> SetSeq -> SetSeq

min :: SetSeq -> SetSeq -> SetSeq

Show SetSeq

Defined in System.Random.PCG.Pure

Methods

showsPrec :: Int -> SetSeq -> ShowS

show :: SetSeq -> String

showList :: [SetSeq] -> ShowS

Generic SetSeq

Defined in System.Random.PCG.Pure

Associated Types

type Rep SetSeq :: Type -> Type

Methods

from :: SetSeq -> Rep SetSeq x

to :: Rep SetSeq x -> SetSeq

Storable SetSeq

Defined in System.Random.PCG.Pure

Methods

sizeOf :: SetSeq -> Int

alignment :: SetSeq -> Int

peekElemOff :: Ptr SetSeq -> Int -> IO SetSeq

pokeElemOff :: Ptr SetSeq -> Int -> SetSeq -> IO ()

peekByteOff :: Ptr b -> Int -> IO SetSeq

pokeByteOff :: Ptr b -> Int -> SetSeq -> IO ()

peek :: Ptr SetSeq -> IO SetSeq

poke :: Ptr SetSeq -> SetSeq -> IO ()

RandomGen FrozenGen

Defined in System.Random.PCG.Pure

Methods

next :: FrozenGen -> (Int, FrozenGen)

genRange :: FrozenGen -> (Int, Int)

split :: FrozenGen -> (FrozenGen, FrozenGen)

type Rep SetSeq

Defined in System.Random.PCG.Pure

type Rep SetSeq = D1 ('MetaData "SetSeq" "System.Random.PCG.Pure" "pcg-random-0.1.3.7-DaQwXu1Wgdb4qv3RWR9wAF" 'False) (C1 ('MetaCons "SetSeq" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Word64) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Word64)))

next' :: SetSeq -> (Word32, SetSeq)

Version of next that returns a Word32.

advanceSetSeq :: Word64 -> FrozenGen -> FrozenGen

Pure version of advance.