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authorLocria Cyber2023-03-12 16:35:35 +0000
committerLocria Cyber2023-03-12 16:35:35 +0000
commit7a508ad33dcb316ae5f3fa98eba7fe932c3d5f61 (patch)
tree4e185b50b8f42fb50d9fb8f4d9124465964ed25a /musiclib.nim
parentc415caf533cc0896e2f2cf78024e751bc44739b0 (diff)
Refactor more
Diffstat (limited to 'musiclib.nim')
-rw-r--r--musiclib.nim108
1 files changed, 54 insertions, 54 deletions
diff --git a/musiclib.nim b/musiclib.nim
index 7050dd3..4984596 100644
--- a/musiclib.nim
+++ b/musiclib.nim
@@ -1,68 +1,68 @@
-import std/[algorithm, math, sugar]
+import std/[algorithm, math, sugar, strformat]
-type Note* = tuple
- len: float
- octave: float
- step: float
- vol: float
+type
+ OscFn* = proc (f: float, t: float): float
-func n*(a, b, c, d: float = 1): Note =
- (a, b, c, d)
+ Note* = tuple
+ len: float ## seconds
+ freq: float
+ vol: float
+ osc: OscFn
-type ProcessedNote* = tuple
- start: float
- `end`: float
- octave: float
- step: float
- vol: float
+ ProcessedNote* = tuple
+ start: float ## absolute time in seconds
+ stop: float ## absolute time in seconds
+ freq: float
+ vol: float
+ osc: OscFn
-func process*(music: var seq[ProcessedNote], notes: openArray[Note]; m_start: float, speed: float=1, gain:float = 1) =
+## give some seconds for the note to fade out
+const HACK_DROPOFF_DELAY = 2.0
+
+const HACK_LONGEST_NOTE = 16.0
+
+func process*(music: var seq[ProcessedNote], notes: openArray[Note]; start_init: float, speed: float=1, gain:float = 1) =
## Adds a list of notes to the music list
- var start = m_start
+ ##
+ ## `notes` sequence of notes with no rests in between
+ var start = start_init
var t = start
for note in notes:
- let vol = note[3]
- start = min(t, t + note[0] / speed)
- let `end` = max(t, t + note[0] / speed)
- music &= ((start, `end`, note[1], note[2], vol * gain))
- t = `end`
+ assert note.len >= 0.0
+ assert note.len <= HACK_LONGEST_NOTE, &"note too long: {note.len}"
+ start = t
+ let stop = t + note.len / speed
+ music &= (start, stop, note.freq, note.vol * gain, note.osc)
+ t = stop
-func bisect(music: openArray[ProcessedNote], x: (float, float)): int =
- ## Return the index where to insert item `x` in list `music`, assuming `music` is sorted.
- music.lowerBound(x, (m, key) => cmp((m[0], m[1]), key))
+func sortByStart*(music: var seq[ProcessedNote]) =
+ music.sort((a, b) => cmp(a.start, b.start))
+func bisect(music: openArray[ProcessedNote], x: float): int =
+ ## Return the index where to insert item `x` in list `music`
+ ##
+ ## assumes `music` is sorted by `.start`
-func freq(octave, step: float): float =
- ## Returns the frequency of a note
- 55 * pow(2, (octave + step / 12 - 1))
+ music.lowerBound(x, (m, key) => cmp(m.start, key))
-func tone(f, t: float): float =
- ## Returns the intensity of a tone of frequency f sampled at time t
- # https://dsp.stackexchange.com/questions/46598/mathematical-equation-for-the-sound-wave-that-a-piano-makes
- # https://youtu.be/ogFAHvYatWs?t=254
- # return int(2**13*(1+square(t, 440*2**(math.floor(5*t)/12))))
- # Y = sum([math.sin(2 * i * math.pi * t * f) * math.exp(-0.0004 * 2 * math.pi * t * f) / 2**i for i in range(1, 4)])
- # Y += Y * Y * Y
- # Y *= 1 + 16 * t * math.exp(-6 * t)
- let w = 2 * PI * f
- var Y = 0.6 * math.sin(w * t) * math.exp(-0.001 * w * t)
- Y += 0.2 * math.sin(2 * w * t) * math.exp(-0.001 * w * t)
- Y += 0.05 * math.sin(3 * w * t) * math.exp(-0.001 * w * t)
- Y += Y * Y * Y
- Y *= 1 + 16 * t * math.exp(-6 * t)
- Y
+const GAIN_BIAS: float = pow(2.0, 28.0)
-const bias: float = pow(2.0, 28.0)
-func at*(music: openArray[ProcessedNote], t: float): int32 =
+proc at*(music: openArray[ProcessedNote], t: float): int32 =
## Returns the total intensity of music sampled at time t
- let i: int = music.bisect((t, pow(2.0, 31.0)))
- # This is actually pretty efficient ngl
- # Because people usually don't have that many overlapping notes
+ ##
+ ## assumes `music` is sorted by `.start`
+
+ var i: int = music.bisect(t) - 1
+
var ret: float = 0
- # this `32` is flaky
- # maybe some notes are longer?
- for j in (max(i - 32, 0) ..< i):
- let m = music[j]
- if m[0] + m[1] > t:
- ret += m[4] * tone(freq(m[2], m[3]), t - m[0])
- int32(ret * bias)
+
+ while i >= 0:
+ let m = music[i]
+ assert m.start <= t
+ if m.stop + HACK_DROPOFF_DELAY >= t:
+ ret += m.vol * m.osc(m.freq, t - m.start)
+ if m.start + HACK_LONGEST_NOTE + HACK_DROPOFF_DELAY < t:
+ break
+ i -= 1
+
+ int32(ret * GAIN_BIAS)