{-# LANGUAGE NoImplicitPrelude #-} {- | Copyright : (c) Henning Thielemann 2008 License : GPL Maintainer : synthesizer@henning-thielemann.de Stability : provisional Portability : requires multi-parameter type classes Filter operators from calculus -} module Synthesizer.State.Filter.Recursive.Integration where import qualified Synthesizer.State.Signal as Sig import qualified Synthesizer.Causal.Process as Causal -- import qualified Algebra.Field as Field -- import qualified Algebra.Ring as Ring import qualified Algebra.Additive as Additive import PreludeBase import NumericPrelude {- | Integrate with initial value zero. However the first emitted value is the value of the input signal. It maintains the length of the signal. -} {-# INLINE run #-} run :: Additive.C v => Sig.T v -> Sig.T v run = Sig.crochetL (\x acc -> let y = x+acc in Just (y,y)) zero -- scanl1 (+) {- | Integrate with initial condition. First emitted value is the initial condition. The signal become one element longer. -} {-# INLINE runInit #-} runInit :: Additive.C v => v -> Sig.T v -> Sig.T v runInit = Sig.scanL (+) {-# INLINE causal #-} causal :: Additive.C v => Causal.T v v causal = Causal.scanL1 (+) {- | Integrate with initial condition. First emitted value is the initial condition. The signal become one element longer. -} {-# INLINE causalInit #-} causalInit :: Additive.C v => v -> Causal.T v v causalInit = Causal.scanL (+) {- other quadrature methods may follow -}