{-# OPTIONS_GHC -O2 -fno-implicit-prelude #-} {- | Copyright : (c) Henning Thielemann 2006 License : GPL Maintainer : synthesizer@henning-thielemann.de Stability : provisional Portability : requires multi-parameter type classes Tone generators -} module Synthesizer.Causal.Oscillator where import qualified Synthesizer.Basic.WaveSmoothed as WaveSmooth import qualified Synthesizer.Basic.Wave as Wave import qualified Synthesizer.Basic.Phase as Phase import qualified Synthesizer.Causal.Process as Causal import qualified Synthesizer.State.Signal as Sig import qualified Synthesizer.Causal.Interpolation as Interpolation {- import qualified Algebra.RealTranscendental as RealTrans import qualified Algebra.Field as Field import qualified Algebra.Module as Module import qualified Algebra.VectorSpace as VectorSpace import Algebra.Module((*>)) -} import qualified Algebra.Transcendental as Trans import qualified Algebra.RealField as RealField import qualified Algebra.Ring as Ring import qualified Algebra.Additive as Additive import Control.Arrow ((<<<), (&&&), second, returnA, ) import NumericPrelude import qualified Prelude as P import PreludeBase {- * Oscillators with arbitrary but constant waveforms -} {-# INLINE freqToPhases #-} freqToPhases :: RealField.C a => Phase.T a -> a -> Sig.T (Phase.T a) freqToPhases phase freq = Sig.iterate (Phase.increment freq) phase {-# INLINE freqsToPhases #-} {- | Convert a list of phase steps into a list of momentum phases. phase is a number in the interval [0,1). freq contains the phase steps. -} freqsToPhases :: RealField.C a => Phase.T a -> Causal.T a (Phase.T a) freqsToPhases phase = Causal.scanL (flip Phase.increment) phase {- {-# INLINE static #-} {- | oscillator with constant frequency -} static :: (RealField.C a) => Wave.T a b -> (Phase.T a -> a -> Sig.T b) static wave phase freq = Sig.map (Wave.apply wave) (freqToPhases phase freq) -} {-# INLINE phaseMod #-} {- | oscillator with modulated phase -} phaseMod :: (RealField.C a) => Wave.T a b -> a -> Causal.T a b phaseMod wave = shapeMod (Wave.phaseOffset wave) zero {-# INLINE shapeMod #-} {- | oscillator with modulated shape -} shapeMod :: (RealField.C a) => (c -> Wave.T a b) -> Phase.T a -> a -> Causal.T c b shapeMod wave phase freq = Causal.applySnd (Causal.map (uncurry (Wave.apply . wave))) (freqToPhases phase freq) {-# INLINE freqMod #-} {- | oscillator with modulated frequency -} freqMod :: (RealField.C a) => Wave.T a b -> Phase.T a -> Causal.T a b freqMod wave phase = Causal.map (Wave.apply wave) <<< freqsToPhases phase {-# INLINE freqModAntiAlias #-} {- | oscillator with modulated frequency -} freqModAntiAlias :: (RealField.C a) => WaveSmooth.T a b -> Phase.T a -> Causal.T a b freqModAntiAlias wave phase = Causal.map (uncurry (WaveSmooth.apply wave)) <<< returnA &&& freqsToPhases phase {-# INLINE phaseFreqMod #-} {- | oscillator with both phase and frequency modulation -} phaseFreqMod :: (RealField.C a) => Wave.T a b -> Causal.T (a,a) b phaseFreqMod wave = shapeFreqMod (Wave.phaseOffset wave) zero {-# INLINE shapeFreqMod #-} {- | oscillator with both shape and frequency modulation -} shapeFreqMod :: (RealField.C a) => (c -> Wave.T a b) -> Phase.T a -> Causal.T (c,a) b shapeFreqMod wave phase = Causal.map (uncurry (Wave.apply . wave)) <<< second (freqsToPhases phase) {- {- | oscillator with a sampled waveform with constant frequency This essentially an interpolation with cyclic padding. -} {-# INLINE staticSample #-} staticSample :: RealField.C a => Interpolation.T a b -> Sig.T b -> Phase.T a -> a -> Sig.T b staticSample ip wave phase freq = Causal.apply (freqModSample ip wave phase) (Sig.repeat freq) -} {- | oscillator with a sampled waveform with modulated frequency Should behave homogenously for different types of interpolation. -} {-# INLINE freqModSample #-} freqModSample :: RealField.C a => Interpolation.T a b -> Sig.T b -> Phase.T a -> Causal.T a b freqModSample ip wave phase = let len = Sig.length wave pr = Phase.toRepresentative $ Phase.multiply len phase in Interpolation.relativeCyclicPad ip pr wave <<< Causal.map (fromIntegral len *) {- * Oscillators with specific waveforms -} {- {-# INLINE staticSine #-} {- | sine oscillator with static frequency -} staticSine :: (Trans.C a, RealField.C a) => Phase.T a -> a -> Sig.T a staticSine = static Wave.sine -} {-# INLINE freqModSine #-} {- | sine oscillator with modulated frequency -} freqModSine :: (Trans.C a, RealField.C a) => Phase.T a -> Causal.T a a freqModSine = freqMod Wave.sine {-# INLINE phaseModSine #-} {- | sine oscillator with modulated phase, useful for FM synthesis -} phaseModSine :: (Trans.C a, RealField.C a) => a -> Causal.T a a phaseModSine = phaseMod Wave.sine {- {-# INLINE staticSaw #-} {- | saw tooth oscillator with modulated frequency -} staticSaw :: RealField.C a => Phase.T a -> a -> Sig.T a staticSaw = static Wave.saw -} {-# INLINE freqModSaw #-} {- | saw tooth oscillator with modulated frequency -} freqModSaw :: RealField.C a => Phase.T a -> Causal.T a a freqModSaw = freqMod Wave.saw