{-# LANGUAGE NoImplicitPrelude #-}
module Synthesizer.MIDI.Value where
import qualified Sound.MIDI.Message.Channel.Voice as VoiceMsg
import qualified Algebra.Transcendental as Trans
import qualified Algebra.Field as Field
import NumericPrelude.Numeric
{-# INLINE controllerLinear #-}
controllerLinear ::
(Field.C y) =>
(y,y) -> Int -> y
controllerLinear :: forall y. C y => (y, y) -> Int -> y
controllerLinear (y
lower,y
upper) Int
n =
let k :: y
k = forall a b. (C a, C b) => a -> b
fromIntegral Int
n forall a. C a => a -> a -> a
/ y
127
in (y
1forall a. C a => a -> a -> a
-y
k) forall a. C a => a -> a -> a
* y
lower forall a. C a => a -> a -> a
+ y
k forall a. C a => a -> a -> a
* y
upper
{-# INLINE controllerExponential #-}
controllerExponential ::
(Trans.C y) =>
(y,y) -> Int -> y
controllerExponential :: forall y. C y => (y, y) -> Int -> y
controllerExponential (y
lower,y
upper) Int
n =
let k :: y
k = forall a b. (C a, C b) => a -> b
fromIntegral Int
n forall a. C a => a -> a -> a
/ y
127
in y
lowerforall a. C a => a -> a -> a
**(y
1forall a. C a => a -> a -> a
-y
k) forall a. C a => a -> a -> a
* y
upperforall a. C a => a -> a -> a
**y
k
{-# INLINE pitchBend #-}
pitchBend ::
(Trans.C y) =>
y -> y -> Int -> y
pitchBend :: forall y. C y => y -> y -> Int -> y
pitchBend y
range y
center Int
n =
y
center forall a. C a => a -> a -> a
* y
range forall a. C a => a -> a -> a
** (forall a b. (C a, C b) => a -> b
fromIntegral Int
n forall a. C a => a -> a -> a
/ y
8192)
{-# INLINE velocity #-}
velocity ::
(Field.C y) =>
VoiceMsg.Velocity -> y
velocity :: forall y. C y => Velocity -> y
velocity Velocity
vel =
forall a b. (C a, C b) => a -> b
fromIntegral (Velocity -> Int
VoiceMsg.fromVelocity Velocity
vel forall a. C a => a -> a -> a
- Int
64)forall a. C a => a -> a -> a
/y
63
{-# INLINE frequencyFromPitch #-}
frequencyFromPitch ::
(Trans.C y) =>
VoiceMsg.Pitch -> y
frequencyFromPitch :: forall y. C y => Pitch -> y
frequencyFromPitch Pitch
pitch =
y
440 forall a. C a => a -> a -> a
* y
2 forall a. C a => a -> a -> a
^? (forall a b. (C a, C b) => a -> b
fromIntegral (Pitch -> Int
VoiceMsg.fromPitch Pitch
pitch forall a. C a => a -> a -> a
+ Int
3 forall a. C a => a -> a -> a
- Int
6forall a. C a => a -> a -> a
*Int
12) forall a. C a => a -> a -> a
/ y
12)