module FRP.Yampa.Loop (
loopPre,
loopIntegral,
) where
import Control.Arrow
import Data.VectorSpace
import FRP.Yampa.Delays
import FRP.Yampa.Integration
import FRP.Yampa.InternalCore (SF)
loopPre :: c -> SF (a,c) (b,c) -> SF a b
loopPre :: c -> SF (a, c) (b, c) -> SF a b
loopPre c
c_init SF (a, c) (b, c)
sf = SF (a, c) (b, c) -> SF a b
forall (a :: * -> * -> *) b d c.
ArrowLoop a =>
a (b, d) (c, d) -> a b c
loop (SF c c -> SF (a, c) (a, c)
forall (a :: * -> * -> *) b c d.
Arrow a =>
a b c -> a (d, b) (d, c)
second (c -> SF c c
forall a. a -> SF a a
iPre c
c_init) SF (a, c) (a, c) -> SF (a, c) (b, c) -> SF (a, c) (b, c)
forall k (cat :: k -> k -> *) (a :: k) (b :: k) (c :: k).
Category cat =>
cat a b -> cat b c -> cat a c
>>> SF (a, c) (b, c)
sf)
loopIntegral :: VectorSpace c s => SF (a,c) (b,c) -> SF a b
loopIntegral :: SF (a, c) (b, c) -> SF a b
loopIntegral SF (a, c) (b, c)
sf = SF (a, c) (b, c) -> SF a b
forall (a :: * -> * -> *) b d c.
ArrowLoop a =>
a (b, d) (c, d) -> a b c
loop (SF c c -> SF (a, c) (a, c)
forall (a :: * -> * -> *) b c d.
Arrow a =>
a b c -> a (d, b) (d, c)
second SF c c
forall a s. VectorSpace a s => SF a a
integral SF (a, c) (a, c) -> SF (a, c) (b, c) -> SF (a, c) (b, c)
forall k (cat :: k -> k -> *) (a :: k) (b :: k) (c :: k).
Category cat =>
cat a b -> cat b c -> cat a c
>>> SF (a, c) (b, c)
sf)