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{-# LANGUAGE FlexibleInstances, UndecidableInstances, ViewPatterns, TemplateHaskell, PatternGuards #-}
module Trivmix.Types
( Level'
, Level(Lin, toLin)
, toScientific
, asScientific
, Balance(..)
, bToScientific
, bAsScientific
, Adjustment(..)
, doAdjustment
, module Data.Default
) where
import Data.Fixed
import Data.CaseInsensitive ( CI )
import qualified Data.CaseInsensitive as CI
import Text.ParserCombinators.ReadPrec
import Control.Applicative
import Control.Monad
import Data.Default
import Data.Function (on)
import Refined
import Data.AEq
import Data.Scientific
import Data.Scientific.Lift
import Refined.AEq
type Level' = Refined NonNegative Scientific
data Level = Lin { toLin :: Level' } | DB { toLin :: Level' }
instance Num Level where
(+) = fmap (either error id) . asScientific (+)
(-) = fmap (either error id) . asScientific (-)
(*) = fmap (either error id) . asScientific (*)
abs = id
signum = Lin . either error id . refine . signum . toScientific
fromInteger = Lin . either error id . refine . fromInteger
asScientific :: (Scientific -> Scientific -> Scientific) -> Level -> Level -> Either String Level
asScientific ((`on` toScientific) -> f) x y = toLvl <$> refineSticky (f x y)
where
toLvl
| DB _ <- x = DB
| DB _ <- y = DB
| otherwise = Lin
toScientific :: Level -> Scientific
toScientific = unrefine . toLin
withPrec :: (Num a, RealFrac a, HasResolution b) => a -> Fixed b
withPrec x = withResolution $ \p' -> MkFixed $ toInteger $ round $ x * (fromInteger p')
withType :: (p a -> f a) -> f a
withType f = f undefined
withResolution :: (HasResolution a) => (Integer -> f a) -> f a
withResolution f = withType (f . resolution)
linToDb :: Level' -> Scientific
linToDb (unrefine -> x) = realToFrac (20 * (logBase 10 $ toRealFloat x) :: Double)
dBToLin :: Scientific -> Level'
dBToLin x = either error id . refineSticky . realToFrac $ (10 ** (0.05 * toRealFloat x) :: Double)
refineSticky :: Scientific -> Either String Level'
refineSticky sc@(toRealFloat -> f)
| f ~== (1 :: Float) = Right ($$(refineTH 1) :: Level')
| f ~== (0 :: Float) = Right ($$(refineTH 0) :: Level')
| otherwise = refine sc
instance Show Level where
show (Lin (unrefine -> x)) = show x
show (DB (linToDb -> x)) = (show $ (withPrec x :: Milli)) ++ "dB"
instance Read Level where
readsPrec = readPrec_to_S $ parseDb <|> parseLin
where
parseDb = do
db <- readS_to_Prec readsPrec
let
unit@(length -> lU) = "dB"
unit' <- forM [1..lU] $ const get
guard $ ((==) `on` CI.mk) unit unit'
return . DB $ dBToLin db
parseLin = do
lin <- readS_to_Prec readsPrec
either (const mzero) (return . Lin) $ refineSticky lin
instance Eq Level where
(==) = (==) `on` toLin
instance Ord Level where
compare = compare `on` toLin
instance Default Level where
def = Lin $$(refineTH 0)
newtype Balance = Balance { unBalance :: Refined ZeroToOne Scientific }
deriving (Ord, Eq)
bAsScientific :: (Scientific -> Scientific -> Scientific) -> Balance -> Balance -> Either String Balance
bAsScientific f (unrefine . unBalance -> x) (unrefine . unBalance -> y) = fmap Balance . refine $ f x y
bToScientific :: Balance -> Scientific
bToScientific = unrefine . unBalance
instance Num Balance where
(+) = fmap (either error id) . bAsScientific (+)
(-) = fmap (either error id) . bAsScientific (-)
(*) = fmap (either error id) . bAsScientific (*)
abs = id
signum = Balance . either error id . refine . signum . bToScientific
fromInteger = Balance . either error id . refine . fromInteger
instance Show Balance where
show = show . bToScientific
instance Read Balance where
readsPrec = readPrec_to_S $ do
b <- readS_to_Prec readsPrec
either (const mzero) (return . Balance) $ refine b
instance Default Balance where
def = Balance $$(refineTH 1)
data Adjustment a = Set a
| Add a
| Sub a
deriving (Show, Eq)
class Adjustable a where
add :: a -> a -> a
sub :: a -> a -> a
-- instance Num a => Adjustable a where
-- add = (+)
-- sub = (-)
instance Adjustable Level where
add (DB x) (DB y) = DB $ dBToLin $ ((+) `on` linToDb) x y
add x y = x + y
sub (DB x) (DB y) = DB $ dBToLin $ ((-) `on` linToDb) x y
sub x y = x - y
instance Adjustable Balance where
add = (+)
sub = (-)
doAdjustment :: Adjustable a => a -> Adjustment a -> a
doAdjustment _ (Set y) = y
doAdjustment x (Add y) = add x y
doAdjustment x (Sub y) = sub x y
|
