{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE TypeFamilies #-}
{-# OPTIONS -fplugin=WidgetRattus.Plugin #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE CPP #-}
{-# LANGUAGE OverloadedLists #-}
module WidgetRattus.Signal
( map
, mapAwait
, switch
, switchS
, switchR
, trigger
, triggerAwait
, triggerM
, triggerAwaitM
, buffer
, bufferAwait
, switchAwait
, interleave
, mapInterleave
, interleaveAll
, mkSig
, mkSig'
, current
, future
, const
, jump
, jumping
, stop
, scan
, scanC
, scanAwait
, scanAwaitC
, scanMap
, Sig(..)
, zipWith
, zipWith3
, zip
, cond
, update
, integral
, derivative
)
where
import WidgetRattus
import Prelude hiding (map, const, zipWith, zipWith3, zip, filter)
import Data.VectorSpace
import Data.Ratio ((%))
import WidgetRattus.InternalPrimitives
infixr 5 :::
data Sig a = !a ::: !(O (Sig a))
current :: Sig a -> a
current :: forall a. Sig a -> a
current (a
x ::: O (Sig a)
_) = a
x
future :: Sig a -> O (Sig a)
future :: forall a. Sig a -> O (Sig a)
future (a
_ ::: O (Sig a)
xs) = O (Sig a)
xs
map :: Box (a -> b) -> Sig a -> Sig b
map :: forall a b. Box (a -> b) -> Sig a -> Sig b
map Box (a -> b)
f (a
x ::: O (Sig a)
xs) = Box (a -> b) -> a -> b
forall a. Box a -> a
unbox Box (a -> b)
f a
x b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: Sig b -> O (Sig b)
forall a. a -> O a
delay (Box (a -> b) -> Sig a -> Sig b
forall a b. Box (a -> b) -> Sig a -> Sig b
map Box (a -> b)
f (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
xs))
mapAwait :: Box (a -> b) -> O (Sig a) -> O (Sig b)
mapAwait :: forall a b. Box (a -> b) -> O (Sig a) -> O (Sig b)
mapAwait Box (a -> b)
f O (Sig a)
d = Sig b -> O (Sig b)
forall a. a -> O a
delay (Box (a -> b) -> Sig a -> Sig b
forall a b. Box (a -> b) -> Sig a -> Sig b
map Box (a -> b)
f (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
d))
mkSig :: Box (O a) -> O (Sig a)
mkSig :: forall a. Box (O a) -> O (Sig a)
mkSig Box (O a)
b = Sig a -> O (Sig a)
forall a. a -> O a
delay (O a -> a
forall a. O a -> a
adv (Box (O a) -> O a
forall a. Box a -> a
unbox Box (O a)
b) a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Box (O a) -> O (Sig a)
forall a. Box (O a) -> O (Sig a)
mkSig Box (O a)
b)
mkSig' :: Box (O (C a)) -> O (Sig a)
mkSig' :: forall a. Box (O (C a)) -> O (Sig a)
mkSig' Box (O (C a))
b = O (C (Sig a)) -> O (Sig a)
forall a. O (C a) -> O a
delayC (O (C (Sig a)) -> O (Sig a)) -> O (C (Sig a)) -> O (Sig a)
forall a b. (a -> b) -> a -> b
$ C (Sig a) -> O (C (Sig a))
forall a. a -> O a
delay (do a
a <- O (C a) -> C a
forall a. O a -> a
adv (Box (O (C a)) -> O (C a)
forall a. Box a -> a
unbox Box (O (C a))
b)
Sig a -> C (Sig a)
forall a. a -> C a
forall (m :: * -> *) a. Monad m => a -> m a
return (a
a a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Box (O (C a)) -> O (Sig a)
forall a. Box (O (C a)) -> O (Sig a)
mkSig' Box (O (C a))
b))
const :: a -> Sig a
const :: forall a. a -> Sig a
const a
x = a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: O (Sig a)
forall a. O a
never
scan :: (Stable b) => Box(b -> a -> b) -> b -> Sig a -> Sig b
scan :: forall b a. Stable b => Box (b -> a -> b) -> b -> Sig a -> Sig b
scan Box (b -> a -> b)
f b
acc (a
a ::: O (Sig a)
as) = b
acc' b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: Sig b -> O (Sig b)
forall a. a -> O a
delay (Box (b -> a -> b) -> b -> Sig a -> Sig b
forall b a. Stable b => Box (b -> a -> b) -> b -> Sig a -> Sig b
scan Box (b -> a -> b)
f b
acc' (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
as))
where acc' :: b
acc' = Box (b -> a -> b) -> b -> a -> b
forall a. Box a -> a
unbox Box (b -> a -> b)
f b
acc a
a
scanC :: (Stable b) => Box(b -> a -> C b) -> b -> Sig a -> C (Sig b)
scanC :: forall b a.
Stable b =>
Box (b -> a -> C b) -> b -> Sig a -> C (Sig b)
scanC Box (b -> a -> C b)
f b
acc (a
a ::: O (Sig a)
as) = do
b
acc' <- Box (b -> a -> C b) -> b -> a -> C b
forall a. Box a -> a
unbox Box (b -> a -> C b)
f b
acc a
a
Sig b -> C (Sig b)
forall a. a -> C a
forall (m :: * -> *) a. Monad m => a -> m a
return (b
acc' b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: O (C (Sig b)) -> O (Sig b)
forall a. O (C a) -> O a
delayC (C (Sig b) -> O (C (Sig b))
forall a. a -> O a
delay (Box (b -> a -> C b) -> b -> Sig a -> C (Sig b)
forall b a.
Stable b =>
Box (b -> a -> C b) -> b -> Sig a -> C (Sig b)
scanC Box (b -> a -> C b)
f b
acc' (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
as))))
scanAwait :: (Stable b) => Box (b -> a -> b) -> b -> O (Sig a) -> Sig b
scanAwait :: forall b a.
Stable b =>
Box (b -> a -> b) -> b -> O (Sig a) -> Sig b
scanAwait Box (b -> a -> b)
f b
acc O (Sig a)
as = b
acc b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: Sig b -> O (Sig b)
forall a. a -> O a
delay (Box (b -> a -> b) -> b -> Sig a -> Sig b
forall b a. Stable b => Box (b -> a -> b) -> b -> Sig a -> Sig b
scan Box (b -> a -> b)
f b
acc (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
as))
scanAwaitC :: (Stable b) => Box (b -> a -> C b) -> b -> O (Sig a) -> Sig b
scanAwaitC :: forall b a.
Stable b =>
Box (b -> a -> C b) -> b -> O (Sig a) -> Sig b
scanAwaitC Box (b -> a -> C b)
f b
acc O (Sig a)
as = b
acc b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: O (C (Sig b)) -> O (Sig b)
forall a. O (C a) -> O a
delayC (C (Sig b) -> O (C (Sig b))
forall a. a -> O a
delay (Box (b -> a -> C b) -> b -> Sig a -> C (Sig b)
forall b a.
Stable b =>
Box (b -> a -> C b) -> b -> Sig a -> C (Sig b)
scanC Box (b -> a -> C b)
f b
acc (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
as)))
scanMap :: (Stable b) => Box (b -> a -> b) -> Box (b -> c) -> b -> Sig a -> Sig c
scanMap :: forall b a c.
Stable b =>
Box (b -> a -> b) -> Box (b -> c) -> b -> Sig a -> Sig c
scanMap Box (b -> a -> b)
f Box (b -> c)
p b
acc (a
a ::: O (Sig a)
as) = Box (b -> c) -> b -> c
forall a. Box a -> a
unbox Box (b -> c)
p b
acc' c -> O (Sig c) -> Sig c
forall a. a -> O (Sig a) -> Sig a
::: Sig c -> O (Sig c)
forall a. a -> O a
delay (Box (b -> a -> b) -> Box (b -> c) -> b -> Sig a -> Sig c
forall b a c.
Stable b =>
Box (b -> a -> b) -> Box (b -> c) -> b -> Sig a -> Sig c
scanMap Box (b -> a -> b)
f Box (b -> c)
p b
acc' (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
as))
where acc' :: b
acc' = Box (b -> a -> b) -> b -> a -> b
forall a. Box a -> a
unbox Box (b -> a -> b)
f b
acc a
a
jump :: Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
jump :: forall a. Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
jump Box (a -> Maybe' (Sig a))
f (a
x ::: O (Sig a)
xs) = case Box (a -> Maybe' (Sig a)) -> a -> Maybe' (Sig a)
forall a. Box a -> a
unbox Box (a -> Maybe' (Sig a))
f a
x of
Just' Sig a
xs' -> Sig a
xs'
Maybe' (Sig a)
Nothing' -> a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Sig a -> O (Sig a)
forall a. a -> O a
delay (Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
forall a. Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
jump Box (a -> Maybe' (Sig a))
f (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
xs))
jumping :: Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
jumping :: forall a. Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
jumping Box (a -> Maybe' (Sig a))
f (a
x ::: O (Sig a)
xs) = case Box (a -> Maybe' (Sig a)) -> a -> Maybe' (Sig a)
forall a. Box a -> a
unbox Box (a -> Maybe' (Sig a))
f a
x of
Just' (a
x' ::: O (Sig a)
xs') -> a
x' a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Sig a -> O (Sig a)
forall a. a -> O a
delay (Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
forall a. Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
jumping Box (a -> Maybe' (Sig a))
f (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
xs'))
Maybe' (Sig a)
Nothing' -> a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Sig a -> O (Sig a)
forall a. a -> O a
delay (Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
forall a. Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
jumping Box (a -> Maybe' (Sig a))
f (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
xs))
stop :: Box (a -> Bool) -> Sig a -> Sig a
stop :: forall a. Box (a -> Bool) -> Sig a -> Sig a
stop Box (a -> Bool)
p = Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
forall a. Box (a -> Maybe' (Sig a)) -> Sig a -> Sig a
jump ((a -> Maybe' (Sig a)) -> Box (a -> Maybe' (Sig a))
forall a. a -> Box a
box (\ a
x -> if Box (a -> Bool) -> a -> Bool
forall a. Box a -> a
unbox Box (a -> Bool)
p a
x then Sig a -> Maybe' (Sig a)
forall a. a -> Maybe' a
Just' (a -> Sig a
forall a. a -> Sig a
const a
x) else Maybe' (Sig a)
forall a. Maybe' a
Nothing'))
switch :: Sig a -> O (Sig a) -> Sig a
switch :: forall a. Sig a -> O (Sig a) -> Sig a
switch (a
x ::: O (Sig a)
xs) O (Sig a)
d = a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Sig a -> O (Sig a)
forall a. a -> O a
delay (case O (Sig a) -> O (Sig a) -> Select (Sig a) (Sig a)
forall a b. O a -> O b -> Select a b
select O (Sig a)
xs O (Sig a)
d of
Fst Sig a
xs' O (Sig a)
d' -> Sig a -> O (Sig a) -> Sig a
forall a. Sig a -> O (Sig a) -> Sig a
switch Sig a
xs' O (Sig a)
d'
Snd O (Sig a)
_ Sig a
d' -> Sig a
d'
Both Sig a
_ Sig a
d' -> Sig a
d')
switchS :: Stable a => Sig a -> O (a -> Sig a) -> Sig a
switchS :: forall a. Stable a => Sig a -> O (a -> Sig a) -> Sig a
switchS (a
x ::: O (Sig a)
xs) O (a -> Sig a)
d = a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Sig a -> O (Sig a)
forall a. a -> O a
delay (case O (Sig a) -> O (a -> Sig a) -> Select (Sig a) (a -> Sig a)
forall a b. O a -> O b -> Select a b
select O (Sig a)
xs O (a -> Sig a)
d of
Fst Sig a
xs' O (a -> Sig a)
d' -> Sig a -> O (a -> Sig a) -> Sig a
forall a. Stable a => Sig a -> O (a -> Sig a) -> Sig a
switchS Sig a
xs' O (a -> Sig a)
d'
Snd O (Sig a)
_ a -> Sig a
f -> a -> Sig a
f a
x
Both Sig a
_ a -> Sig a
f -> a -> Sig a
f a
x)
switchAwait :: O (Sig a) -> O (Sig a) -> O (Sig a)
switchAwait :: forall a. O (Sig a) -> O (Sig a) -> O (Sig a)
switchAwait O (Sig a)
xs O (Sig a)
ys = Sig a -> O (Sig a)
forall a. a -> O a
delay (case O (Sig a) -> O (Sig a) -> Select (Sig a) (Sig a)
forall a b. O a -> O b -> Select a b
select O (Sig a)
xs O (Sig a)
ys of
Fst Sig a
xs' O (Sig a)
d' -> Sig a -> O (Sig a) -> Sig a
forall a. Sig a -> O (Sig a) -> Sig a
switch Sig a
xs' O (Sig a)
d'
Snd O (Sig a)
_ Sig a
d' -> Sig a
d'
Both Sig a
_ Sig a
d' -> Sig a
d')
switchR :: Stable a => Sig a -> O (Sig (a -> Sig a)) -> Sig a
switchR :: forall a. Stable a => Sig a -> O (Sig (a -> Sig a)) -> Sig a
switchR Sig a
sig O (Sig (a -> Sig a))
steps = Sig a -> O (a -> Sig a) -> Sig a
forall a. Stable a => Sig a -> O (a -> Sig a) -> Sig a
switchS Sig a
sig
((a -> Sig a) -> O (a -> Sig a)
forall a. a -> O a
delay (let a -> Sig a
step ::: O (Sig (a -> Sig a))
steps' = O (Sig (a -> Sig a)) -> Sig (a -> Sig a)
forall a. O a -> a
adv O (Sig (a -> Sig a))
steps in \ a
x -> Sig a -> O (Sig (a -> Sig a)) -> Sig a
forall a. Stable a => Sig a -> O (Sig (a -> Sig a)) -> Sig a
switchR (a -> Sig a
step a
x) O (Sig (a -> Sig a))
steps'))
interleave :: Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
interleave :: forall a. Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
interleave Box (a -> a -> a)
f O (Sig a)
xs O (Sig a)
ys = Sig a -> O (Sig a)
forall a. a -> O a
delay (case O (Sig a) -> O (Sig a) -> Select (Sig a) (Sig a)
forall a b. O a -> O b -> Select a b
select O (Sig a)
xs O (Sig a)
ys of
Fst (a
x ::: O (Sig a)
xs') O (Sig a)
ys' -> a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
forall a. Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
interleave Box (a -> a -> a)
f O (Sig a)
xs' O (Sig a)
ys'
Snd O (Sig a)
xs' (a
y ::: O (Sig a)
ys') -> a
y a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
forall a. Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
interleave Box (a -> a -> a)
f O (Sig a)
xs' O (Sig a)
ys'
Both (a
x ::: O (Sig a)
xs') (a
y ::: O (Sig a)
ys') -> Box (a -> a -> a) -> a -> a -> a
forall a. Box a -> a
unbox Box (a -> a -> a)
f a
x a
y a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
forall a. Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
interleave Box (a -> a -> a)
f O (Sig a)
xs' O (Sig a)
ys')
mapInterleave :: Box (a -> a) -> Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
mapInterleave :: forall a.
Box (a -> a)
-> Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
mapInterleave Box (a -> a)
g Box (a -> a -> a)
f O (Sig a)
xs O (Sig a)
ys = Sig a -> O (Sig a)
forall a. a -> O a
delay (case O (Sig a) -> O (Sig a) -> Select (Sig a) (Sig a)
forall a b. O a -> O b -> Select a b
select O (Sig a)
xs O (Sig a)
ys of
Fst (a
x ::: O (Sig a)
xs') O (Sig a)
ys' -> Box (a -> a) -> a -> a
forall a. Box a -> a
unbox Box (a -> a)
g a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> a)
-> Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
forall a.
Box (a -> a)
-> Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
mapInterleave Box (a -> a)
g Box (a -> a -> a)
f O (Sig a)
xs' O (Sig a)
ys'
Snd O (Sig a)
xs' (a
y ::: O (Sig a)
ys') -> Box (a -> a) -> a -> a
forall a. Box a -> a
unbox Box (a -> a)
g a
y a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> a)
-> Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
forall a.
Box (a -> a)
-> Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
mapInterleave Box (a -> a)
g Box (a -> a -> a)
f O (Sig a)
xs' O (Sig a)
ys'
Both (a
x ::: O (Sig a)
xs') (a
y ::: O (Sig a)
ys') -> Box (a -> a) -> a -> a
forall a. Box a -> a
unbox Box (a -> a)
g (Box (a -> a -> a) -> a -> a -> a
forall a. Box a -> a
unbox Box (a -> a -> a)
f a
x a
y) a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> a)
-> Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
forall a.
Box (a -> a)
-> Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
mapInterleave Box (a -> a)
g Box (a -> a -> a)
f O (Sig a)
xs' O (Sig a)
ys')
{-# ANN interleaveAll AllowRecursion #-}
interleaveAll :: Box (a -> a -> a) -> List (O (Sig a)) -> O (Sig a)
interleaveAll :: forall a. Box (a -> a -> a) -> List (O (Sig a)) -> O (Sig a)
interleaveAll Box (a -> a -> a)
_ List (O (Sig a))
Nil = [Char] -> O (Sig a)
forall a. HasCallStack => [Char] -> a
error [Char]
"interleaveAll: List must be nonempty"
interleaveAll Box (a -> a -> a)
_ [Item (List (O (Sig a)))
s] = Item (List (O (Sig a)))
O (Sig a)
s
interleaveAll Box (a -> a -> a)
f (O (Sig a)
x :! List (O (Sig a))
xs) = Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
forall a. Box (a -> a -> a) -> O (Sig a) -> O (Sig a) -> O (Sig a)
interleave Box (a -> a -> a)
f O (Sig a)
x (Box (a -> a -> a) -> List (O (Sig a)) -> O (Sig a)
forall a. Box (a -> a -> a) -> List (O (Sig a)) -> O (Sig a)
interleaveAll Box (a -> a -> a)
f List (O (Sig a))
xs)
update :: (Stable a) => Sig a -> O (Sig (a -> a)) -> Sig a
update :: forall a. Stable a => Sig a -> O (Sig (a -> a)) -> Sig a
update (a
x ::: O (Sig a)
xs) O (Sig (a -> a))
fs = a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Sig a -> O (Sig a)
forall a. a -> O a
delay
(case O (Sig a) -> O (Sig (a -> a)) -> Select (Sig a) (Sig (a -> a))
forall a b. O a -> O b -> Select a b
select O (Sig a)
xs O (Sig (a -> a))
fs of
Fst Sig a
xs' O (Sig (a -> a))
ys' -> Sig a -> O (Sig (a -> a)) -> Sig a
forall a. Stable a => Sig a -> O (Sig (a -> a)) -> Sig a
update Sig a
xs' O (Sig (a -> a))
ys'
Snd O (Sig a)
xs' (a -> a
f ::: O (Sig (a -> a))
fs') -> Sig a -> O (Sig (a -> a)) -> Sig a
forall a. Stable a => Sig a -> O (Sig (a -> a)) -> Sig a
update (a -> a
f a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: O (Sig a)
xs') O (Sig (a -> a))
fs'
Both (a
x' ::: O (Sig a)
xs') (a -> a
f ::: O (Sig (a -> a))
fs') -> Sig a -> O (Sig (a -> a)) -> Sig a
forall a. Stable a => Sig a -> O (Sig (a -> a)) -> Sig a
update (a -> a
f a
x' a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: O (Sig a)
xs') O (Sig (a -> a))
fs')
zipWith :: (Stable a, Stable b) => Box(a -> b -> c) -> Sig a -> Sig b -> Sig c
zipWith :: forall a b c.
(Stable a, Stable b) =>
Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
zipWith Box (a -> b -> c)
f (a
a ::: O (Sig a)
as) (b
b ::: O (Sig b)
bs) = Box (a -> b -> c) -> a -> b -> c
forall a. Box a -> a
unbox Box (a -> b -> c)
f a
a b
b c -> O (Sig c) -> Sig c
forall a. a -> O (Sig a) -> Sig a
::: Sig c -> O (Sig c)
forall a. a -> O a
delay (
case O (Sig a) -> O (Sig b) -> Select (Sig a) (Sig b)
forall a b. O a -> O b -> Select a b
select O (Sig a)
as O (Sig b)
bs of
Fst Sig a
as' O (Sig b)
lbs -> Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
forall a b c.
(Stable a, Stable b) =>
Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
zipWith Box (a -> b -> c)
f Sig a
as' (b
b b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: O (Sig b)
lbs)
Snd O (Sig a)
las Sig b
bs' -> Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
forall a b c.
(Stable a, Stable b) =>
Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
zipWith Box (a -> b -> c)
f (a
a a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: O (Sig a)
las) Sig b
bs'
Both Sig a
as' Sig b
bs' -> Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
forall a b c.
(Stable a, Stable b) =>
Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
zipWith Box (a -> b -> c)
f Sig a
as' Sig b
bs'
)
zipWith3 :: forall a b c d. (Stable a, Stable b, Stable c) => Box(a -> b -> c -> d) -> Sig a -> Sig b -> Sig c -> Sig d
zipWith3 :: forall a b c d.
(Stable a, Stable b, Stable c) =>
Box (a -> b -> c -> d) -> Sig a -> Sig b -> Sig c -> Sig d
zipWith3 Box (a -> b -> c -> d)
f Sig a
as Sig b
bs Sig c
cs = Box (Box (c -> d) -> c -> d)
-> Sig (Box (c -> d)) -> Sig c -> Sig d
forall a b c.
(Stable a, Stable b) =>
Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
zipWith ((Box (c -> d) -> c -> d) -> Box (Box (c -> d) -> c -> d)
forall a. a -> Box a
box (\Box (c -> d)
f c
x -> Box (c -> d) -> c -> d
forall a. Box a -> a
unbox Box (c -> d)
f c
x)) Sig (Box (c -> d))
cds Sig c
cs
where cds :: Sig (Box (c -> d))
cds :: Sig (Box (c -> d))
cds = Box (a -> b -> Box (c -> d))
-> Sig a -> Sig b -> Sig (Box (c -> d))
forall a b c.
(Stable a, Stable b) =>
Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
zipWith ((a -> b -> Box (c -> d)) -> Box (a -> b -> Box (c -> d))
forall a. a -> Box a
box (\a
a b
b -> (c -> d) -> Box (c -> d)
forall a. a -> Box a
box (\ c
c -> Box (a -> b -> c -> d) -> a -> b -> c -> d
forall a. Box a -> a
unbox Box (a -> b -> c -> d)
f a
a b
b c
c))) Sig a
as Sig b
bs
cond :: Stable a => Sig Bool -> Sig a -> Sig a -> Sig a
cond :: forall a. Stable a => Sig Bool -> Sig a -> Sig a -> Sig a
cond = Box (Bool -> a -> a -> a) -> Sig Bool -> Sig a -> Sig a -> Sig a
forall a b c d.
(Stable a, Stable b, Stable c) =>
Box (a -> b -> c -> d) -> Sig a -> Sig b -> Sig c -> Sig d
zipWith3 ((Bool -> a -> a -> a) -> Box (Bool -> a -> a -> a)
forall a. a -> Box a
box (\Bool
b a
x a
y -> if Bool
b then a
x else a
y))
zip :: (Stable a, Stable b) => Sig a -> Sig b -> Sig (a:*b)
zip :: forall a b. (Stable a, Stable b) => Sig a -> Sig b -> Sig (a :* b)
zip = Box (a -> b -> a :* b) -> Sig a -> Sig b -> Sig (a :* b)
forall a b c.
(Stable a, Stable b) =>
Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
zipWith ((a -> b -> a :* b) -> Box (a -> b -> a :* b)
forall a. a -> Box a
box a -> b -> a :* b
forall a b. a -> b -> a :* b
(:*))
triggerAwait :: (Stable b, Stable c) => Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
triggerAwait :: forall b c a.
(Stable b, Stable c) =>
Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
triggerAwait Box (a -> b -> c)
f c
c O (Sig a)
as (b
b ::: O (Sig b)
bs) = c
c c -> O (Sig c) -> Sig c
forall a. a -> O (Sig a) -> Sig a
:::
Sig c -> O (Sig c)
forall a. a -> O a
delay (case O (Sig a) -> O (Sig b) -> Select (Sig a) (Sig b)
forall a b. O a -> O b -> Select a b
select O (Sig a)
as O (Sig b)
bs of
Fst (a
a' ::: O (Sig a)
as') O (Sig b)
bs' -> Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
forall b c a.
(Stable b, Stable c) =>
Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
triggerAwait Box (a -> b -> c)
f (Box (a -> b -> c) -> a -> b -> c
forall a. Box a -> a
unbox Box (a -> b -> c)
f a
a' b
b) O (Sig a)
as' (b
b b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: O (Sig b)
bs')
Snd O (Sig a)
as' Sig b
bs' -> Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
forall b c a.
(Stable b, Stable c) =>
Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
triggerAwait Box (a -> b -> c)
f c
c O (Sig a)
as' Sig b
bs'
Both (a
a' ::: O (Sig a)
as') (b
b' ::: O (Sig b)
bs') -> Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
forall b c a.
(Stable b, Stable c) =>
Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
triggerAwait Box (a -> b -> c)
f (Box (a -> b -> c) -> a -> b -> c
forall a. Box a -> a
unbox Box (a -> b -> c)
f a
a' b
b') O (Sig a)
as' (b
b' b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: O (Sig b)
bs'))
triggerAwaitM :: Stable b => Box (a -> b -> Maybe' c) -> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
triggerAwaitM :: forall b a c.
Stable b =>
Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
triggerAwaitM Box (a -> b -> Maybe' c)
f O (Sig a)
as (b
b ::: O (Sig b)
bs) =
Sig (Maybe' c) -> O (Sig (Maybe' c))
forall a. a -> O a
delay (case O (Sig a) -> O (Sig b) -> Select (Sig a) (Sig b)
forall a b. O a -> O b -> Select a b
select O (Sig a)
as O (Sig b)
bs of
Fst (a
a' ::: O (Sig a)
as') O (Sig b)
bs' -> Box (a -> b -> Maybe' c) -> a -> b -> Maybe' c
forall a. Box a -> a
unbox Box (a -> b -> Maybe' c)
f a
a' b
b Maybe' c -> O (Sig (Maybe' c)) -> Sig (Maybe' c)
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
forall b a c.
Stable b =>
Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
triggerAwaitM Box (a -> b -> Maybe' c)
f O (Sig a)
as' (b
b b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: O (Sig b)
bs')
Snd O (Sig a)
as' Sig b
bs' -> Maybe' c
forall a. Maybe' a
Nothing' Maybe' c -> O (Sig (Maybe' c)) -> Sig (Maybe' c)
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
forall b a c.
Stable b =>
Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
triggerAwaitM Box (a -> b -> Maybe' c)
f O (Sig a)
as' Sig b
bs'
Both (a
a' ::: O (Sig a)
as') (b
b' ::: O (Sig b)
bs') -> Box (a -> b -> Maybe' c) -> a -> b -> Maybe' c
forall a. Box a -> a
unbox Box (a -> b -> Maybe' c)
f a
a' b
b' Maybe' c -> O (Sig (Maybe' c)) -> Sig (Maybe' c)
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
forall b a c.
Stable b =>
Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
triggerAwaitM Box (a -> b -> Maybe' c)
f O (Sig a)
as' (b
b' b -> O (Sig b) -> Sig b
forall a. a -> O (Sig a) -> Sig a
::: O (Sig b)
bs'))
trigger :: (Stable b, Stable c) => Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
trigger :: forall b c a.
(Stable b, Stable c) =>
Box (a -> b -> c) -> Sig a -> Sig b -> Sig c
trigger Box (a -> b -> c)
f (a
a:::O (Sig a)
as) bs :: Sig b
bs@(b
b ::: O (Sig b)
_) = Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
forall b c a.
(Stable b, Stable c) =>
Box (a -> b -> c) -> c -> O (Sig a) -> Sig b -> Sig c
triggerAwait Box (a -> b -> c)
f (Box (a -> b -> c) -> a -> b -> c
forall a. Box a -> a
unbox Box (a -> b -> c)
f a
a b
b) O (Sig a)
as Sig b
bs
triggerM :: Stable b => Box (a -> b -> Maybe' c) -> Sig a -> Sig b -> Sig (Maybe' c)
triggerM :: forall b a c.
Stable b =>
Box (a -> b -> Maybe' c) -> Sig a -> Sig b -> Sig (Maybe' c)
triggerM Box (a -> b -> Maybe' c)
f (a
a:::O (Sig a)
as) bs :: Sig b
bs@(b
b ::: O (Sig b)
_) = Box (a -> b -> Maybe' c) -> a -> b -> Maybe' c
forall a. Box a -> a
unbox Box (a -> b -> Maybe' c)
f a
a b
b Maybe' c -> O (Sig (Maybe' c)) -> Sig (Maybe' c)
forall a. a -> O (Sig a) -> Sig a
::: Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
forall b a c.
Stable b =>
Box (a -> b -> Maybe' c)
-> O (Sig a) -> Sig b -> O (Sig (Maybe' c))
triggerAwaitM Box (a -> b -> Maybe' c)
f O (Sig a)
as Sig b
bs
buffer :: Stable a => a -> Sig a -> Sig a
buffer :: forall a. Stable a => a -> Sig a -> Sig a
buffer a
x (a
y ::: O (Sig a)
ys) = a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: Sig a -> O (Sig a)
forall a. a -> O a
delay (a -> Sig a -> Sig a
forall a. Stable a => a -> Sig a -> Sig a
buffer a
y (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
ys))
bufferAwait :: Stable a => a -> O (Sig a) -> O (Sig a)
bufferAwait :: forall a. Stable a => a -> O (Sig a) -> O (Sig a)
bufferAwait a
x O (Sig a)
xs = Sig a -> O (Sig a)
forall a. a -> O a
delay (a -> Sig a -> Sig a
forall a. Stable a => a -> Sig a -> Sig a
buffer a
x (O (Sig a) -> Sig a
forall a. O a -> a
adv O (Sig a)
xs))
dt :: Int
dt :: Int
dt = Int
20000
integral :: forall a v . (VectorSpace v a, Eq v, Fractional a, Stable v, Stable a)
=> v -> Sig v -> Sig v
integral :: forall a v.
(VectorSpace v a, Eq v, Fractional a, Stable v, Stable a) =>
v -> Sig v -> Sig v
integral = v -> Sig v -> Sig v
int
where int :: v -> Sig v -> Sig v
int v
cur (v
x ::: O (Sig v)
xs)
| v
x v -> v -> Bool
forall a. Eq a => a -> a -> Bool
== v
forall v a. VectorSpace v a => v
zeroVector = v
cur v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: Sig v -> O (Sig v)
forall a. a -> O a
delay (v -> Sig v -> Sig v
int v
cur (O (Sig v) -> Sig v
forall a. O a -> a
adv O (Sig v)
xs))
| Bool
otherwise = v
cur v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: Sig v -> O (Sig v)
forall a. a -> O a
delay (
case O (Sig v) -> O () -> Select (Sig v) ()
forall a b. O a -> O b -> Select a b
select O (Sig v)
xs (Int -> O ()
timer Int
dt) of
Fst Sig v
xs' O ()
_ -> v -> Sig v -> Sig v
int v
cur Sig v
xs'
Snd O (Sig v)
xs' ()
_ -> v -> Sig v -> Sig v
int (a
dtf a -> v -> v
forall v a. VectorSpace v a => a -> v -> v
*^ (v
cur v -> v -> v
forall v a. VectorSpace v a => v -> v -> v
^+^ v
x)) (v
x v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: O (Sig v)
xs')
Both (v
x' ::: O (Sig v)
xs') ()
_ -> v -> Sig v -> Sig v
int (a
dtf a -> v -> v
forall v a. VectorSpace v a => a -> v -> v
*^ (v
cur v -> v -> v
forall v a. VectorSpace v a => v -> v -> v
^+^ v
x')) (v
x'v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: O (Sig v)
xs'))
dtf :: a
dtf :: a
dtf = Rational -> a
forall a. Fractional a => Rational -> a
fromRational (Int -> Integer
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
dt Integer -> Integer -> Rational
forall a. Integral a => a -> a -> Ratio a
% Integer
1000000)
derivative :: forall a v . (VectorSpace v a, Eq v, Fractional a, Stable v, Stable a)
=> Sig v -> Sig v
derivative :: forall a v.
(VectorSpace v a, Eq v, Fractional a, Stable v, Stable a) =>
Sig v -> Sig v
derivative Sig v
xs = v -> v -> Sig v -> Sig v
der v
forall v a. VectorSpace v a => v
zeroVector (Sig v -> v
forall a. Sig a -> a
current Sig v
xs) Sig v
xs where
dtf :: a
dtf :: a
dtf = Int -> a
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
dt a -> a -> a
forall a. Num a => a -> a -> a
* a
0.000001
der :: v -> v -> Sig v -> Sig v
der :: v -> v -> Sig v -> Sig v
der v
d v
last (v
x:::O (Sig v)
xs)
| v
d v -> v -> Bool
forall a. Eq a => a -> a -> Bool
== v
forall v a. VectorSpace v a => v
zeroVector = v
forall v a. VectorSpace v a => v
zeroVector v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: Sig v -> O (Sig v)
forall a. a -> O a
delay
(let v
x' ::: O (Sig v)
xs' = O (Sig v) -> Sig v
forall a. O a -> a
adv O (Sig v)
xs
in v -> v -> Sig v -> Sig v
der ((v
x' v -> v -> v
forall v a. VectorSpace v a => v -> v -> v
^-^ v
x) v -> a -> v
forall v a. VectorSpace v a => v -> a -> v
^/ a
dtf) v
x (v
x' v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: O (Sig v)
xs'))
| Bool
otherwise = v
d v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: Sig v -> O (Sig v)
forall a. a -> O a
delay (
case O (Sig v) -> O () -> Select (Sig v) ()
forall a b. O a -> O b -> Select a b
select O (Sig v)
xs (Int -> O ()
timer Int
dt) of
Fst Sig v
xs' O ()
_ -> v -> v -> Sig v -> Sig v
der v
d v
last Sig v
xs'
Snd O (Sig v)
xs' ()
_ -> v -> v -> Sig v -> Sig v
der ((v
x v -> v -> v
forall v a. VectorSpace v a => v -> v -> v
^-^ v
last) v -> a -> v
forall v a. VectorSpace v a => v -> a -> v
^/ a
dtf) v
x (v
x v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: O (Sig v)
xs')
Both (v
x' ::: O (Sig v)
xs') ()
_ -> v -> v -> Sig v -> Sig v
der ((v
x' v -> v -> v
forall v a. VectorSpace v a => v -> v -> v
^-^ v
last) v -> a -> v
forall v a. VectorSpace v a => v -> a -> v
^/ a
dtf) v
x' (v
x' v -> O (Sig v) -> Sig v
forall a. a -> O (Sig a) -> Sig a
::: O (Sig v)
xs'))
instance Continuous a => Continuous (Sig a) where
progressInternal :: InputValue -> Sig a -> Sig a
progressInternal InputValue
inp (a
x ::: xs :: O (Sig a)
xs@(Delay Clock
cl InputValue -> Sig a
_)) =
if InputValue -> Clock -> Bool
inputInClock InputValue
inp Clock
cl then (O (Sig a) -> InputValue -> Sig a
forall a. O a -> InputValue -> a
adv' O (Sig a)
xs InputValue
inp)
else InputValue -> a -> a
forall p. Continuous p => InputValue -> p -> p
progressInternal InputValue
inp a
x a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: O (Sig a)
xs
progressAndNext :: InputValue -> Sig a -> (Sig a, Clock)
progressAndNext InputValue
inp (a
x ::: xs :: O (Sig a)
xs@(Delay Clock
cl InputValue -> Sig a
_)) =
if InputValue -> Clock -> Bool
inputInClock InputValue
inp Clock
cl then let n :: Sig a
n = O (Sig a) -> InputValue -> Sig a
forall a. O a -> InputValue -> a
adv' O (Sig a)
xs InputValue
inp in (Sig a
n, Sig a -> Clock
forall p. Continuous p => p -> Clock
nextProgress Sig a
n)
else let (a
n , Clock
cl') = InputValue -> a -> (a, Clock)
forall p. Continuous p => InputValue -> p -> (p, Clock)
progressAndNext InputValue
inp a
x in (a
n a -> O (Sig a) -> Sig a
forall a. a -> O (Sig a) -> Sig a
::: O (Sig a)
xs , Clock
cl Clock -> Clock -> Clock
`clockUnion` Clock
cl')
nextProgress :: Sig a -> Clock
nextProgress (a
x ::: (Delay Clock
cl InputValue -> Sig a
_)) = a -> Clock
forall p. Continuous p => p -> Clock
nextProgress a
x Clock -> Clock -> Clock
`clockUnion` Clock
cl
{-# NOINLINE [1] map #-}
{-# NOINLINE [1] const #-}
{-# NOINLINE [1] scan #-}
{-# NOINLINE [1] scanMap #-}
{-# NOINLINE [1] zip #-}
{-# NOINLINE [1] update #-}
{-# NOINLINE [1] switch #-}
{-# NOINLINE [1] interleave #-}
{-# NOINLINE [1] mapAwait #-}
{-# RULES
"const/switch" forall x xs.
switch (const x) xs = x ::: xs;
"update/update" forall xs fs gs.
update (update xs fs) gs = update xs (interleave (box (.)) gs fs) ;
"const/map" forall (f :: Stable b => Box (a -> b)) x.
map f (const x) = let x' = unbox f x in const x' ;
"map/map" forall f g xs.
map f (map g xs) = map (box (unbox f . unbox g)) xs ;
"map/scan" forall f p acc as.
map p (scan f acc as) = scanMap f p acc as ;
"mapAwait/interleave" forall f g xs ys.
mapAwait f (interleave g xs ys) = mapInterleave f g xs ys ;
"zip/map" forall xs ys f.
map f (zip xs ys) = let f' = unbox f in zipWith (box (\ x y -> f' (x :* y))) xs ys;
"scan/scan" forall f g b c as.
scan g c (scan f b as) =
let f' = unbox f; g' = unbox g in
scanMap (box (\ (b:*c) a -> let b' = f' b a in (b':* g' c b'))) (box snd') (b:*c) as ;
"scan/scanMap" forall f g p b c as.
scan g c (scanMap f p b as) =
let f' = unbox f; g' = unbox g; p' = unbox p in
scanMap (box (\ (b:*c) a -> let b' = f' (p' b) a in (b':* g' c b'))) (box snd') (b:*c) as ;
#-}