{-# LANGUAGE NoImplicitPrelude #-}
module Synthesizer.MIDI.Dimensional.ValuePlain (
controllerLinear,
controllerExponential,
pitchBend,
frequencyFromPitch,
) where
import qualified Sound.MIDI.Message.Channel.Voice as VoiceMsg
import qualified Algebra.DimensionTerm as Dim
import qualified Number.DimensionTerm as DN
import qualified Algebra.Transcendental as Trans
import qualified Algebra.Field as Field
import NumericPrelude.Numeric
import NumericPrelude.Base
{-# INLINE controllerLinear #-}
controllerLinear ::
(Field.C y, Dim.C v) =>
(DN.T v y, DN.T v y) -> Int -> DN.T v y
controllerLinear :: forall y v. (C y, C v) => (T v y, T v y) -> Int -> T v y
controllerLinear (T v y
lower,T v 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 forall u a. (C u, C a) => a -> T u a -> T u a
DN.scale (y
1forall a. C a => a -> a -> a
-y
k) T v y
lower forall a. C a => a -> a -> a
+ forall u a. (C u, C a) => a -> T u a -> T u a
DN.scale y
k T v y
upper
{-# INLINE controllerExponential #-}
controllerExponential ::
(Trans.C y, Dim.C v) =>
(DN.T v y, DN.T v y) -> Int -> DN.T v y
controllerExponential :: forall y v. (C y, C v) => (T v y, T v y) -> Int -> T v y
controllerExponential (T v y
lower,T v 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 case forall a. HasCallStack => [Char] -> a
error [Char]
"MIDIValue.controllerExponential dimension" of
v
d ->
forall u a. C u => u -> a -> T u a
DN.fromNumberWithDimension v
d forall a b. (a -> b) -> a -> b
$
forall u a. C u => u -> T u a -> a
DN.toNumberWithDimension v
d T v y
lower forall a. C a => a -> a -> a
** (y
1forall a. C a => a -> a -> a
-y
k) forall a. C a => a -> a -> a
*
forall u a. C u => u -> T u a -> a
DN.toNumberWithDimension v
d T v y
upper forall a. C a => a -> a -> a
** y
k
{-# INLINE pitchBend #-}
pitchBend ::
(Trans.C y, Dim.C v) =>
y -> DN.T v y -> Int -> DN.T v y
pitchBend :: forall y v. (C y, C v) => y -> T v y -> Int -> T v y
pitchBend y
range T v y
center Int
n =
forall u a. (C u, C a) => a -> T u a -> T u a
DN.scale (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)) T v y
center
{-# INLINE frequencyFromPitch #-}
frequencyFromPitch ::
(Trans.C y) =>
VoiceMsg.Pitch -> DN.Frequency y
frequencyFromPitch :: forall y. C y => Pitch -> Frequency y
frequencyFromPitch Pitch
pitch =
forall u a. (C u, C a) => a -> T u a -> T u a
DN.scale
(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))
(forall a. a -> Frequency a
DN.frequency y
440)