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Signal.hs
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Signal.hs
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{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE ConstraintKinds #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE UndecidableInstances #-}
module Signal(
Signal,
BSignal,
getSamples,
duration,
nbSamples,
Sample(..),
DualVal(..),
samplingRate,
-- * Basic interface
headS,
tailS,
consS,
appendBS,
-- * Signal transformations
mapS,
mapBS,
imapBS,
concatMapS,
concatS,
intersperseS,
appendListS,
onSamples,
-- * Building signals
fromListS,
fromListBS,
toListBS,
-- ** Scans
scanlS,
scanl1S,
scanrS,
scanr1S,
-- ** Accumulating maps
mapAccumLS,
mapAccumRS,
-- ** Infinite signals
iterateS,
repeatS,
replicateS,
cycleS,
-- ** Unfolding
unfoldrS,
-- * Sublists
-- ** Extracting sublists
takeS,
dropS,
splitAtS,
splitAtVectorS,
takeWhileS,
dropWhileS,
spanS,
breakS,
takeVectorS,
-- * Predicates
isPrefixOfS,
isInfixOfS,
-- ** Searching with a predicate
filterS,
-- * Zipping and unzipping signals
zipS,
-- | The zipWith family generalises the zip family by zipping with the
-- function given as the first argument, instead of a tupling function.
zipWithS,
unzipS,
-- | Generic functions
genericTakeS,
genericDropS,
genericTakeVectorS,
genericDropVectorS,
genericSplitAtS,
genericReplicateS,
-- | Vector functions
fromVectorS,
fromVectorBS,
toVectorBS,
-- | Utility
playS,
-- | Conversion
fromBS,
appendBSToS,
cs,
constSignal,
Sampled(..),
HasPeriod(..),
HasSamples(..)
) where
import qualified Prelude as P
import Prelude(Int(..),Maybe(..),Bool(..),Eq(..),Integral(..),($),(.),Num(..),Ord(..),Show
,otherwise,Floating,Fractional,Real,Read,RealFloat,RealFrac)
import Internal
import qualified Data.Vector.Unboxed as U
import Data.Vector.Unboxed((!),Unbox(..))
import Data.Stream(stream,unstream,Stream(..),Step(..),L(..))
import Data.List.Stream
import Common(HasDoubleRepresentation(..))
import Playable
import Common
import Viewer(play)
type Sample a = (RealFrac a, RealFloat a, HasDoubleRepresentation a, Unbox a)
instance Sample a => Playable (Time,Frequency, Signal a) where
sound (d,f,s) = (getF f, take (P.floor (getT d * getF f) ) . getSamples . mapS toDouble $ s)
playS :: Sample a
=> Time
-> Sampled Time a
-> P.IO ()
playS t s = play (sound (t,rate s,getSignal s))
headS :: Signal a -> a
headS (Signal s) = head s
{-# INLINE [0] headS #-}
tailS :: Signal a -> Signal a
tailS (Signal s) = Signal $ tail s
{-# INLINE [0] tailS #-}
consS :: a -> Signal a -> Signal a
consS a (Signal s) = Signal $ (a:) s
{-# INLINE [0] consS #-}
mapS :: (a -> b) -> Signal a -> Signal b
mapS f (Signal s) = Signal $ map f s
{-# INLINE [0] mapS #-}
appendListS :: [a] -> Signal a -> Signal a
appendListS l (Signal s) = Signal (l ++ s)
concatMapS :: (a -> [b]) -> Signal a -> Signal b
concatMapS f (Signal s) = Signal $ concatMap f s
{-# INLINE [0] concatMapS #-}
concatS :: Signal [a] -> Signal a
concatS (Signal s) = Signal $ concat s
{-# INLINE [0] concatS #-}
mapBS :: (Unbox a, Unbox b) => (a -> b) -> BSignal a -> BSignal b
mapBS f (BSignal s) = BSignal $ U.map f s
{-# INLINE [0] mapBS #-}
imapBS :: (Unbox a, Unbox b) => (Int -> a -> b) -> BSignal a -> BSignal b
imapBS f (BSignal s) = BSignal $ U.imap f s
{-# INLINE [0] imapBS #-}
onSamples :: ([a] -> [b]) -> Signal a -> Signal b
onSamples f (Signal s) = Signal (f s)
{-# INLINE [0] onSamples #-}
intersperseS :: a -> Signal a -> Signal a
intersperseS c (Signal s) = Signal $ intersperse c s
{-# INLINE [0] intersperseS #-}
scanlS :: (a -> b -> a) -> a -> Signal b -> Signal a
scanlS f q (Signal ls) = Signal $ scanl f q ls
{-# INLINE [0] scanlS #-}
scanl1S :: (a -> a -> a) -> Signal a -> Signal a
scanl1S f (Signal s) = Signal $ scanl1 f s
{-# INLINE [0] scanl1S #-}
scanrS :: (a -> b -> b) -> b -> Signal a -> Signal b
scanrS f q0 (Signal s) = Signal $ scanr f q0 s
{-# INLINE [0] scanrS #-}
scanr1S :: (a -> a -> a) -> Signal a -> Signal a
scanr1S f (Signal s) = Signal $ scanr1 f s
{-# INLINE [0] scanr1S #-}
mapAccumLS :: (acc -> x -> (acc, y)) -> acc -> Signal x -> (acc, Signal y)
mapAccumLS f s (Signal x) = let (a,s') = mapAccumL f s x in (a,Signal s')
{-# INLINE [0] mapAccumLS #-}
mapAccumRS :: (acc -> x -> (acc, y)) -> acc -> Signal x -> (acc, Signal y)
mapAccumRS f s (Signal x) = let (a,s') = mapAccumR f s x in (a, Signal s')
{-# INLINE [0] mapAccumRS #-}
iterateS :: (a -> a) -> a -> Signal a
iterateS f x = Signal (iterate f x)
{-# INLINE [0] iterateS #-}
repeatS :: a -> Signal a
repeatS x = Signal (repeat x)
{-# INLINE [0] repeatS #-}
replicateS :: Int -> a -> Signal a
replicateS n0 a = Signal (replicate n0 a)
{-# INLINE [0] replicateS #-}
cycleS :: [a] -> Signal a
cycleS xs0 = Signal (cycle xs0)
{-# INLINE [0] cycleS #-}
unfoldrS :: (b -> Maybe (a, b)) -> b -> Signal a
unfoldrS f b0 = Signal (unfoldr f b0)
{-# INLINE [0] unfoldrS #-}
takeVectorS :: Unbox a => Int -> Signal a -> BSignal a
takeVectorS i (Signal ls) = BSignal $ U.fromList . take i $ ls
{-# INLINE [0] takeVectorS #-}
takeS :: Int -> Signal a -> [a]
takeS nb (Signal l) = take nb l
{-# INLINE [0] takeS #-}
dropS :: Int -> Signal a -> Signal a
dropS n (Signal ls) = Signal $ drop n ls
{-# INLINE [0] dropS #-}
splitAtS :: Int -> Signal a -> ([a], Signal a)
splitAtS n (Signal ls) = let (a,b) = splitAt n ls in (a, Signal b)
splitAtVectorS :: Unbox a => Int -> Signal a -> (BSignal a, Signal a)
splitAtVectorS n (Signal ls) = let (a,b) = splitAt n ls in (BSignal (U.fromList a), Signal b)
{-# INLINE [0] splitAtVectorS #-}
takeWhileVectorS :: Unbox a => (a -> Bool) -> Signal a -> BSignal a
takeWhileVectorS p (Signal xs0) = BSignal $ U.fromList . takeWhile p $ xs0
{-# INLINE [0] takeWhileVectorS #-}
takeWhileS :: (a -> Bool) -> Signal a -> [a]
takeWhileS p = takeWhile p . getSamples
{-# INLINE [0] takeWhileS #-}
dropWhileVectorS :: Unbox a => (a -> Bool) -> Signal a -> BSignal a
dropWhileVectorS p (Signal xs0) = BSignal $ U.fromList . dropWhile p $ xs0
{-# INLINE [0] dropWhileVectorS #-}
dropWhileS :: (a -> Bool) -> Signal a -> [a]
dropWhileS p = dropWhile p . getSamples
{-# INLINE [0] dropWhileS #-}
spanS :: (a -> Bool) -> Signal a -> ([a],Signal a)
spanS p (Signal xs0) = let (b,s) = span p xs0
in (b, Signal s)
{-# INLINE [0] spanS #-}
breakS :: (a -> Bool) -> Signal a -> ([a], Signal a)
breakS p (Signal xs0) = let (b,s) = break p xs0
in (b, Signal s)
{-# INLINE [0] breakS #-}
isPrefixOfS :: (Eq a, Unbox a) => BSignal a -> Signal a -> Bool
isPrefixOfS (BSignal p) (Signal s) = isPrefixOf (U.toList p) s
{-# INLINE [0] isPrefixOfS #-}
isInfixOfS :: (Eq a, Unbox a) => BSignal a -> Signal a -> Bool
isInfixOfS (BSignal needle) (Signal haystack) = isInfixOf (U.toList needle) haystack
{-# INLINE [0] isInfixOfS #-}
filterS :: (a -> Bool) -> Signal a -> Signal a
filterS p (Signal x) = Signal $ (filter p) x
{-# INLINE [0] filterS #-}
zipS :: Signal a -> Signal b -> Signal (a, b)
zipS (Signal a) (Signal b) = Signal (zip a b)
{-# INLINE [0] zipS #-}
zipWithS :: (a -> b -> c) -> Signal a -> Signal b -> Signal c
zipWithS f (Signal a) (Signal b) = Signal (zipWith f a b)
{-# INLINE [0] zipWithS #-}
unzipS :: Signal (a,b) -> (Signal a, Signal b)
unzipS (Signal l) = let (a,b) = unzip l in (Signal a,Signal b)
{-# INLINE [0] unzipS #-}
genericTakeVectorS :: (Unbox a, Integral i) => i -> Signal a -> BSignal a
genericTakeVectorS nb (Signal s) = BSignal $ U.fromList . genericTake nb $ s
{-# INLINE [0] genericTakeVectorS #-}
genericTakeS :: (Integral i) => i -> Signal a -> [a]
genericTakeS nb = genericTake nb . getSamples
{-# INLINE [0] genericTakeS #-}
genericDropVectorS :: (Integral i) => i -> Signal a -> Signal a
genericDropVectorS nb (Signal s) = Signal $ genericDrop nb s
{-# INLINE [0] genericDropVectorS #-}
genericDropS :: (Integral i) => i -> Signal a -> [a]
genericDropS nb = genericDrop nb . getSamples
{-# INLINE [0] genericDropS #-}
genericSplitAtS :: (Integral i) => i -> Signal a -> ([a], Signal a)
genericSplitAtS i (Signal a) = let (b,s) = genericSplitAt i a
in (b, Signal s)
{-# INLINE [0] genericSplitAtS #-}
genericReplicateS :: Integral i => i -> a -> Signal a
genericReplicateS n x = Signal (genericReplicate n x)
{-# INLINE [0] genericReplicateS #-}
fromVectorS :: Unbox a => a -> U.Vector a -> Signal a
fromVectorS d v = Signal $ unstream (repeatVector d)
where
repeatVector d = Stream (nextS d) (L 0)
nextS d l@(L !i) | i < U.length v = Yield (v!i) (L (i+1))
| otherwise = Yield d l
{-# INLINE [0] fromVectorS #-}
fromVectorBS :: Unbox a => U.Vector a -> BSignal a
fromVectorBS v = BSignal v
{-# INLINE [0] fromVectorBS #-}
fromListS :: a -> [a] -> Signal a
fromListS d l = Signal ((l ++) . (repeat d ++) $ [])
{-# INLINE [0] fromListS #-}
fromListBS :: Unbox a => [a] -> BSignal a
fromListBS = BSignal . U.fromList
{-# INLINE [0] fromListBS #-}
toListBS :: Unbox a => BSignal a -> [a]
toListBS (BSignal l) = U.toList l
{-# INLINE [0] toListBS #-}
fromBS :: Unbox a => a -> BSignal a -> Signal a
fromBS a (BSignal s) = Signal $ ((\t -> ((U.toList t) ++) . (repeat a ++) $ []) )s
{-# INLINE [0] fromBS #-}
appendBSToS :: Unbox a => BSignal a -> Signal a -> Signal a
appendBSToS (BSignal b) (Signal s) = Signal $ U.toList b ++ s
toVectorBS :: Unbox a => BSignal a -> U.Vector a
toVectorBS (BSignal v) = v
{-# INLINE [0] toVectorBS #-}
appendBS :: Unbox a => BSignal a -> BSignal a -> BSignal a
appendBS (BSignal a) (BSignal b) = BSignal $ (a U.++ b)
{-# INLINE [0] appendBS #-}