-- | Non-primitve math Ugens.
module Sound.Sc3.Ugen.Math.Composite where

import Sound.Sc3.Common.Math.Operator

import Sound.Sc3.Ugen.Ugen
import Sound.Sc3.Ugen.Util

-- | Select /q/ or /r/ by /p/, ie. @if p == 1 then q else if p == 0 then r@.
ugen_if :: Num a => a -> a -> a -> a
ugen_if :: forall a. Num a => a -> a -> a -> a
ugen_if a
p a
q a
r = (a
p a -> a -> a
forall a. Num a => a -> a -> a
* a
q) a -> a -> a
forall a. Num a => a -> a -> a
+ ((a
1 a -> a -> a
forall a. Num a => a -> a -> a
- a
p) a -> a -> a
forall a. Num a => a -> a -> a
* a
r)

{- | Separate input into integral and fractional parts.

>>> ugen_integral_and_fractional_parts 1.5 == mce2 1 0.5
True
-}
ugen_integral_and_fractional_parts :: Ugen -> Ugen
ugen_integral_and_fractional_parts :: Ugen -> Ugen
ugen_integral_and_fractional_parts Ugen
n =
  let gt_eq_0 :: Ugen
gt_eq_0 = let n' :: Ugen
n' = Ugen -> Ugen
forall a. RealFracE a => a -> a
floorE Ugen
n in Ugen -> Ugen -> Ugen
mce2 Ugen
n' (Ugen
n Ugen -> Ugen -> Ugen
forall a. Num a => a -> a -> a
- Ugen
n')
      lt_0 :: Ugen
lt_0 = let n' :: Ugen
n' = Ugen -> Ugen
forall a. RealFracE a => a -> a
ceilingE Ugen
n in Ugen -> Ugen -> Ugen
mce2 Ugen
n' (Ugen
n Ugen -> Ugen -> Ugen
forall a. Num a => a -> a -> a
- Ugen
n')
  in Ugen -> Ugen -> Ugen -> Ugen
forall a. Num a => a -> a -> a -> a
ugen_if (Ugen
n Ugen -> Ugen -> Ugen
forall a. OrdE a => a -> a -> a
`greater_than_or_equal_to` Ugen
0) Ugen
gt_eq_0 Ugen
lt_0

{- | Fractional midi into integral midi and cents detune.

>>> ugen_fmidi_to_midi_detune 60.5 == mce2 60 50
True
-}
ugen_fmidi_to_midi_detune :: Ugen -> Ugen
ugen_fmidi_to_midi_detune :: Ugen -> Ugen
ugen_fmidi_to_midi_detune Ugen
mnn =
  let (Ugen
n, Ugen
c) = Ugen -> (Ugen, Ugen)
unmce2 (Ugen -> Ugen
ugen_integral_and_fractional_parts Ugen
mnn)
  in Ugen -> Ugen -> Ugen
mce2 Ugen
n (Ugen
c Ugen -> Ugen -> Ugen
forall a. Num a => a -> a -> a
* Ugen
100)