Yampa-0.11: Library for programming hybrid systems.

Copyright(c) Antony Courtney and Henrik Nilsson Yale University 2003
LicenseBSD-style (see the LICENSE file in the distribution)
Maintainerivan.perez@keera.co.uk
Stabilityprovisional
Portabilitynon-portable (GHC extensions)
Safe HaskellNone
LanguageHaskell98

FRP.Yampa.Random

Contents

Description

Signals and signal functions with noise and randomness.

The Random number generators are re-exported from System.Random.

Synopsis

Random number generators

class RandomGen g where #

The class RandomGen provides a common interface to random number generators.

Minimal complete definition

next, split

Methods

next :: g -> (Int, g) #

The next operation returns an Int that is uniformly distributed in the range returned by genRange (including both end points), and a new generator.

genRange :: g -> (Int, Int) #

The genRange operation yields the range of values returned by the generator.

It is required that:

The second condition ensures that genRange cannot examine its argument, and hence the value it returns can be determined only by the instance of RandomGen. That in turn allows an implementation to make a single call to genRange to establish a generator's range, without being concerned that the generator returned by (say) next might have a different range to the generator passed to next.

The default definition spans the full range of Int.

split :: g -> (g, g) #

The split operation allows one to obtain two distinct random number generators. This is very useful in functional programs (for example, when passing a random number generator down to recursive calls), but very little work has been done on statistically robust implementations of split ([System.Random, System.Random] are the only examples we know of).

Instances

class Random a where #

With a source of random number supply in hand, the Random class allows the programmer to extract random values of a variety of types.

Minimal complete definition: randomR and random.

Minimal complete definition

randomR, random

Methods

randomR :: RandomGen g => (a, a) -> g -> (a, g) #

Takes a range (lo,hi) and a random number generator g, and returns a random value uniformly distributed in the closed interval [lo,hi], together with a new generator. It is unspecified what happens if lo>hi. For continuous types there is no requirement that the values lo and hi are ever produced, but they may be, depending on the implementation and the interval.

random :: RandomGen g => g -> (a, g) #

The same as randomR, but using a default range determined by the type:

  • For bounded types (instances of Bounded, such as Char), the range is normally the whole type.
  • For fractional types, the range is normally the semi-closed interval [0,1).
  • For Integer, the range is (arbitrarily) the range of Int.

randomRs :: RandomGen g => (a, a) -> g -> [a] #

Plural variant of randomR, producing an infinite list of random values instead of returning a new generator.

randoms :: RandomGen g => g -> [a] #

Plural variant of random, producing an infinite list of random values instead of returning a new generator.

randomRIO :: (a, a) -> IO a #

A variant of randomR that uses the global random number generator (see System.Random).

randomIO :: IO a #

A variant of random that uses the global random number generator (see System.Random).

Instances

Random Bool 

Methods

randomR :: RandomGen g => (Bool, Bool) -> g -> (Bool, g) #

random :: RandomGen g => g -> (Bool, g) #

randomRs :: RandomGen g => (Bool, Bool) -> g -> [Bool] #

randoms :: RandomGen g => g -> [Bool] #

randomRIO :: (Bool, Bool) -> IO Bool #

randomIO :: IO Bool #

Random Char 

Methods

randomR :: RandomGen g => (Char, Char) -> g -> (Char, g) #

random :: RandomGen g => g -> (Char, g) #

randomRs :: RandomGen g => (Char, Char) -> g -> [Char] #

randoms :: RandomGen g => g -> [Char] #

randomRIO :: (Char, Char) -> IO Char #

randomIO :: IO Char #

Random Double 

Methods

randomR :: RandomGen g => (Double, Double) -> g -> (Double, g) #

random :: RandomGen g => g -> (Double, g) #

randomRs :: RandomGen g => (Double, Double) -> g -> [Double] #

randoms :: RandomGen g => g -> [Double] #

randomRIO :: (Double, Double) -> IO Double #

randomIO :: IO Double #

Random Float 

Methods

randomR :: RandomGen g => (Float, Float) -> g -> (Float, g) #

random :: RandomGen g => g -> (Float, g) #

randomRs :: RandomGen g => (Float, Float) -> g -> [Float] #

randoms :: RandomGen g => g -> [Float] #

randomRIO :: (Float, Float) -> IO Float #

randomIO :: IO Float #

Random Int 

Methods

randomR :: RandomGen g => (Int, Int) -> g -> (Int, g) #

random :: RandomGen g => g -> (Int, g) #

randomRs :: RandomGen g => (Int, Int) -> g -> [Int] #

randoms :: RandomGen g => g -> [Int] #

randomRIO :: (Int, Int) -> IO Int #

randomIO :: IO Int #

Random Int8 

Methods

randomR :: RandomGen g => (Int8, Int8) -> g -> (Int8, g) #

random :: RandomGen g => g -> (Int8, g) #

randomRs :: RandomGen g => (Int8, Int8) -> g -> [Int8] #

randoms :: RandomGen g => g -> [Int8] #

randomRIO :: (Int8, Int8) -> IO Int8 #

randomIO :: IO Int8 #

Random Int16 

Methods

randomR :: RandomGen g => (Int16, Int16) -> g -> (Int16, g) #

random :: RandomGen g => g -> (Int16, g) #

randomRs :: RandomGen g => (Int16, Int16) -> g -> [Int16] #

randoms :: RandomGen g => g -> [Int16] #

randomRIO :: (Int16, Int16) -> IO Int16 #

randomIO :: IO Int16 #

Random Int32 

Methods

randomR :: RandomGen g => (Int32, Int32) -> g -> (Int32, g) #

random :: RandomGen g => g -> (Int32, g) #

randomRs :: RandomGen g => (Int32, Int32) -> g -> [Int32] #

randoms :: RandomGen g => g -> [Int32] #

randomRIO :: (Int32, Int32) -> IO Int32 #

randomIO :: IO Int32 #

Random Int64 

Methods

randomR :: RandomGen g => (Int64, Int64) -> g -> (Int64, g) #

random :: RandomGen g => g -> (Int64, g) #

randomRs :: RandomGen g => (Int64, Int64) -> g -> [Int64] #

randoms :: RandomGen g => g -> [Int64] #

randomRIO :: (Int64, Int64) -> IO Int64 #

randomIO :: IO Int64 #

Random Integer 

Methods

randomR :: RandomGen g => (Integer, Integer) -> g -> (Integer, g) #

random :: RandomGen g => g -> (Integer, g) #

randomRs :: RandomGen g => (Integer, Integer) -> g -> [Integer] #

randoms :: RandomGen g => g -> [Integer] #

randomRIO :: (Integer, Integer) -> IO Integer #

randomIO :: IO Integer #

Random Word 

Methods

randomR :: RandomGen g => (Word, Word) -> g -> (Word, g) #

random :: RandomGen g => g -> (Word, g) #

randomRs :: RandomGen g => (Word, Word) -> g -> [Word] #

randoms :: RandomGen g => g -> [Word] #

randomRIO :: (Word, Word) -> IO Word #

randomIO :: IO Word #

Random Word8 

Methods

randomR :: RandomGen g => (Word8, Word8) -> g -> (Word8, g) #

random :: RandomGen g => g -> (Word8, g) #

randomRs :: RandomGen g => (Word8, Word8) -> g -> [Word8] #

randoms :: RandomGen g => g -> [Word8] #

randomRIO :: (Word8, Word8) -> IO Word8 #

randomIO :: IO Word8 #

Random Word16 

Methods

randomR :: RandomGen g => (Word16, Word16) -> g -> (Word16, g) #

random :: RandomGen g => g -> (Word16, g) #

randomRs :: RandomGen g => (Word16, Word16) -> g -> [Word16] #

randoms :: RandomGen g => g -> [Word16] #

randomRIO :: (Word16, Word16) -> IO Word16 #

randomIO :: IO Word16 #

Random Word32 

Methods

randomR :: RandomGen g => (Word32, Word32) -> g -> (Word32, g) #

random :: RandomGen g => g -> (Word32, g) #

randomRs :: RandomGen g => (Word32, Word32) -> g -> [Word32] #

randoms :: RandomGen g => g -> [Word32] #

randomRIO :: (Word32, Word32) -> IO Word32 #

randomIO :: IO Word32 #

Random Word64 

Methods

randomR :: RandomGen g => (Word64, Word64) -> g -> (Word64, g) #

random :: RandomGen g => g -> (Word64, g) #

randomRs :: RandomGen g => (Word64, Word64) -> g -> [Word64] #

randoms :: RandomGen g => g -> [Word64] #

randomRIO :: (Word64, Word64) -> IO Word64 #

randomIO :: IO Word64 #

Random CChar 

Methods

randomR :: RandomGen g => (CChar, CChar) -> g -> (CChar, g) #

random :: RandomGen g => g -> (CChar, g) #

randomRs :: RandomGen g => (CChar, CChar) -> g -> [CChar] #

randoms :: RandomGen g => g -> [CChar] #

randomRIO :: (CChar, CChar) -> IO CChar #

randomIO :: IO CChar #

Random CSChar 

Methods

randomR :: RandomGen g => (CSChar, CSChar) -> g -> (CSChar, g) #

random :: RandomGen g => g -> (CSChar, g) #

randomRs :: RandomGen g => (CSChar, CSChar) -> g -> [CSChar] #

randoms :: RandomGen g => g -> [CSChar] #

randomRIO :: (CSChar, CSChar) -> IO CSChar #

randomIO :: IO CSChar #

Random CUChar 

Methods

randomR :: RandomGen g => (CUChar, CUChar) -> g -> (CUChar, g) #

random :: RandomGen g => g -> (CUChar, g) #

randomRs :: RandomGen g => (CUChar, CUChar) -> g -> [CUChar] #

randoms :: RandomGen g => g -> [CUChar] #

randomRIO :: (CUChar, CUChar) -> IO CUChar #

randomIO :: IO CUChar #

Random CShort 

Methods

randomR :: RandomGen g => (CShort, CShort) -> g -> (CShort, g) #

random :: RandomGen g => g -> (CShort, g) #

randomRs :: RandomGen g => (CShort, CShort) -> g -> [CShort] #

randoms :: RandomGen g => g -> [CShort] #

randomRIO :: (CShort, CShort) -> IO CShort #

randomIO :: IO CShort #

Random CUShort 

Methods

randomR :: RandomGen g => (CUShort, CUShort) -> g -> (CUShort, g) #

random :: RandomGen g => g -> (CUShort, g) #

randomRs :: RandomGen g => (CUShort, CUShort) -> g -> [CUShort] #

randoms :: RandomGen g => g -> [CUShort] #

randomRIO :: (CUShort, CUShort) -> IO CUShort #

randomIO :: IO CUShort #

Random CInt 

Methods

randomR :: RandomGen g => (CInt, CInt) -> g -> (CInt, g) #

random :: RandomGen g => g -> (CInt, g) #

randomRs :: RandomGen g => (CInt, CInt) -> g -> [CInt] #

randoms :: RandomGen g => g -> [CInt] #

randomRIO :: (CInt, CInt) -> IO CInt #

randomIO :: IO CInt #

Random CUInt 

Methods

randomR :: RandomGen g => (CUInt, CUInt) -> g -> (CUInt, g) #

random :: RandomGen g => g -> (CUInt, g) #

randomRs :: RandomGen g => (CUInt, CUInt) -> g -> [CUInt] #

randoms :: RandomGen g => g -> [CUInt] #

randomRIO :: (CUInt, CUInt) -> IO CUInt #

randomIO :: IO CUInt #

Random CLong 

Methods

randomR :: RandomGen g => (CLong, CLong) -> g -> (CLong, g) #

random :: RandomGen g => g -> (CLong, g) #

randomRs :: RandomGen g => (CLong, CLong) -> g -> [CLong] #

randoms :: RandomGen g => g -> [CLong] #

randomRIO :: (CLong, CLong) -> IO CLong #

randomIO :: IO CLong #

Random CULong 

Methods

randomR :: RandomGen g => (CULong, CULong) -> g -> (CULong, g) #

random :: RandomGen g => g -> (CULong, g) #

randomRs :: RandomGen g => (CULong, CULong) -> g -> [CULong] #

randoms :: RandomGen g => g -> [CULong] #

randomRIO :: (CULong, CULong) -> IO CULong #

randomIO :: IO CULong #

Random CLLong 

Methods

randomR :: RandomGen g => (CLLong, CLLong) -> g -> (CLLong, g) #

random :: RandomGen g => g -> (CLLong, g) #

randomRs :: RandomGen g => (CLLong, CLLong) -> g -> [CLLong] #

randoms :: RandomGen g => g -> [CLLong] #

randomRIO :: (CLLong, CLLong) -> IO CLLong #

randomIO :: IO CLLong #

Random CULLong 

Methods

randomR :: RandomGen g => (CULLong, CULLong) -> g -> (CULLong, g) #

random :: RandomGen g => g -> (CULLong, g) #

randomRs :: RandomGen g => (CULLong, CULLong) -> g -> [CULLong] #

randoms :: RandomGen g => g -> [CULLong] #

randomRIO :: (CULLong, CULLong) -> IO CULLong #

randomIO :: IO CULLong #

Random CFloat 

Methods

randomR :: RandomGen g => (CFloat, CFloat) -> g -> (CFloat, g) #

random :: RandomGen g => g -> (CFloat, g) #

randomRs :: RandomGen g => (CFloat, CFloat) -> g -> [CFloat] #

randoms :: RandomGen g => g -> [CFloat] #

randomRIO :: (CFloat, CFloat) -> IO CFloat #

randomIO :: IO CFloat #

Random CDouble 

Methods

randomR :: RandomGen g => (CDouble, CDouble) -> g -> (CDouble, g) #

random :: RandomGen g => g -> (CDouble, g) #

randomRs :: RandomGen g => (CDouble, CDouble) -> g -> [CDouble] #

randoms :: RandomGen g => g -> [CDouble] #

randomRIO :: (CDouble, CDouble) -> IO CDouble #

randomIO :: IO CDouble #

Random CPtrdiff 
Random CSize 

Methods

randomR :: RandomGen g => (CSize, CSize) -> g -> (CSize, g) #

random :: RandomGen g => g -> (CSize, g) #

randomRs :: RandomGen g => (CSize, CSize) -> g -> [CSize] #

randoms :: RandomGen g => g -> [CSize] #

randomRIO :: (CSize, CSize) -> IO CSize #

randomIO :: IO CSize #

Random CWchar 

Methods

randomR :: RandomGen g => (CWchar, CWchar) -> g -> (CWchar, g) #

random :: RandomGen g => g -> (CWchar, g) #

randomRs :: RandomGen g => (CWchar, CWchar) -> g -> [CWchar] #

randoms :: RandomGen g => g -> [CWchar] #

randomRIO :: (CWchar, CWchar) -> IO CWchar #

randomIO :: IO CWchar #

Random CSigAtomic 
Random CIntPtr 

Methods

randomR :: RandomGen g => (CIntPtr, CIntPtr) -> g -> (CIntPtr, g) #

random :: RandomGen g => g -> (CIntPtr, g) #

randomRs :: RandomGen g => (CIntPtr, CIntPtr) -> g -> [CIntPtr] #

randoms :: RandomGen g => g -> [CIntPtr] #

randomRIO :: (CIntPtr, CIntPtr) -> IO CIntPtr #

randomIO :: IO CIntPtr #

Random CUIntPtr 
Random CIntMax 

Methods

randomR :: RandomGen g => (CIntMax, CIntMax) -> g -> (CIntMax, g) #

random :: RandomGen g => g -> (CIntMax, g) #

randomRs :: RandomGen g => (CIntMax, CIntMax) -> g -> [CIntMax] #

randoms :: RandomGen g => g -> [CIntMax] #

randomRIO :: (CIntMax, CIntMax) -> IO CIntMax #

randomIO :: IO CIntMax #

Random CUIntMax 

Noise, random signals, and stochastic event sources

noise :: (RandomGen g, Random b) => g -> SF a b Source #

Noise (random signal) with default range for type in question; based on "randoms".

noiseR :: (RandomGen g, Random b) => (b, b) -> g -> SF a b Source #

Noise (random signal) with specified range; based on "randomRs".

occasionally :: RandomGen g => g -> Time -> b -> SF a (Event b) Source #

Stochastic event source with events occurring on average once every t_avg seconds. However, no more than one event results from any one sampling interval in the case of relatively sparse sampling, thus avoiding an "event backlog" should sampling become more frequent at some later point in time.