{-# LANGUAGE NoImplicitPrelude #-} {- | Several functions that add a loop to a sampled sound. This way you can obtain an infinite sound that consumes only finite space. -} module Synthesizer.Generic.Loop ( simple, fade, timeReverse, TimeControl, timeControlSine, timeControlZigZag, ) where import qualified Synthesizer.Generic.Signal as SigG import qualified Synthesizer.Generic.Cut as CutG import qualified Synthesizer.Generic.Wave as WaveG import qualified Synthesizer.Basic.Wave as Wave import qualified Synthesizer.Basic.Phase as Phase import qualified Synthesizer.State.Signal as SigS import qualified Synthesizer.State.Control as CtrlS import qualified Synthesizer.State.Oscillator as OsciS import qualified Synthesizer.Interpolation as Interpolation import qualified Algebra.Transcendental as Trans import qualified Algebra.Module as Module import qualified Algebra.RealField as RealField import qualified Algebra.RealRing as RealRing import qualified Algebra.Ring as Ring import qualified Algebra.Additive as Additive import NumericPrelude.Numeric import NumericPrelude.Base {- | Most simple of looping: You give start and length of the loop body and this part is repeated. The data behind start+length is ignored. -} simple :: (CutG.Transform sig) => Int -> Int -> sig -> sig simple len start xs = let (prefix, suffix) = CutG.splitAt start xs loopBody = CutG.take len suffix in CutG.append prefix (CutG.cycle loopBody) {- | Create a smooth loop by cross-fading a part with delayed versions of itself. The loop length will be rounded to the next smaller even number. -} fade :: (SigG.Transform sig yv, Trans.C y, Module.C y yv) => y -> Int -> Int -> sig yv -> sig yv fade dummy loopLen2 start xs = let loopLen = div loopLen2 2 (prefix, loopOut) = CutG.splitAt (start+loopLen) xs loopIn = CutG.drop start prefix loopBody = SigG.zipWithState3 (\s x y -> let s2 = 0.5*s `asTypeOf` dummy in (0.5-s2)*>x + (0.5+s2)*>y) (CtrlS.cosine 0 (fromIntegral loopLen)) (SigG.toState loopIn) loopOut in CutG.append prefix (CutG.cycle loopBody) {- | Resample a sampled sound with a smooth loop using our time manipulation algorithm. Time is first controlled linearly, then switches to a sine or triangular control. Loop start must be large enough in order provide enough spare data for interpolation at the beginning and loop start plus length must preserve according space at the end. One period is enough space for linear interpolation. In order to get a loopable sound with finite space we have to reduce the loop length to a multiple of a wave period. We will also modify the period a little bit, such that in our loop body there is an integral number of periods. We return the modified period and the looped sound. -} {-# INLINE timeReverse #-} timeReverse :: (SigG.Write sig yv, RealField.C q, Module.C q yv) => SigG.LazySize -> Interpolation.T q yv -> Interpolation.T q yv -> TimeControl q -> q -> q -> (q, sig yv) -> (q, sig yv) timeReverse lazySize ipLeap ipStep timeCtrlWave loopLen loopStart (period0, sample) = let (period, timeCtrl) = timeControl timeCtrlWave period0 (loopLen/2) wave = WaveG.sampledTone ipLeap ipStep period sample loopCenter = round $ loopStart + loopLen/2 loop = SigG.fromState lazySize $ OsciS.shapeFreqMod wave (Phase.fromRepresentative $ fromIntegral loopCenter / period) (SigS.map (fromIntegral loopCenter +) timeCtrl) (SigS.repeat (recip period)) in (period, CutG.append (CutG.take loopCenter sample) (CutG.cycle loop)) timeControl :: (RealField.C a) => TimeControl a -> a -> a -> (a, SigS.T a) timeControl (TimeControl slope wave) period0 loopDepth0 = let numberOfWaves = fromIntegral $ (floor(slope*loopDepth0/period0) :: Int) loopLenInt = floor (numberOfWaves * period0) loopLen = fromIntegral loopLenInt period = loopLen / numberOfWaves loopDepth = loopLen / slope in (period, SigS.take loopLenInt $ SigS.map (loopDepth *) $ OsciS.static wave zero (recip loopLen)) data TimeControl a = TimeControl a (Wave.T a a) timeControlSine :: (Trans.C a) => TimeControl a timeControlSine = TimeControl (2*pi) Wave.sine timeControlZigZag :: (RealRing.C a) => TimeControl a timeControlZigZag = TimeControl 4 Wave.triangle