Add nim impl
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Locria Cyber
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.gitignore
vendored
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.gitignore
vendored
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/music
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@ -5,3 +5,10 @@ Lambeat is a new way to make music using functional programming. It's heavily in
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First, install [Sox](https://sox.sourceforge.net/) and clone this repo. Write some music in `music.scm`. Enjoy your music with `guile --fresh-auto-compile lambeat.scm | play -r 8000 -t s16 -`!
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For the Python version, use `pypy3 music.py | play -r 44100 -t s32 -` to listen and `pypy3 music.py | sox -r 44100 -t s32 - example.ogg` to save to a file.
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For the nim version
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```
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nim c --mm:orc -d:release music.nim
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./music > music.s32
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play -r 44100 -t s32 music.s32
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```
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273
music.nim
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273
music.nim
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import musiclib
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# Number of times to sample each second
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let bitrate = 44100
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let intro = [
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n(1,3,3),
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n(1,3,7),
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n(1,3,10),
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n(6,4,2),
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n(1,3,1),
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n(1,3,5),
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n(1,3,8),
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n(3,4,0),
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n(1,2,11),
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n(1,3,3),
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n(1,3,6),
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n(3,3,10),
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n(1,2,8),
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n(1,3,0),
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n(1,3,3),
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n(8,3,7),
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]
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let melody = [
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n(1,3,3),
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n(1,3,7),
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n(1,3,10),
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n(1,4,2),
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n(1,4,3),
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n(1,4,7),
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n(2,4,8),
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n(1,3,1),
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n(1,3,5),
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n(1,3,8),
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n(1,4,0),
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n(1,4,1),
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n(1,4,5),
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n(2,4,8),
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n(1,3,3),
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n(1,3,7),
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n(1,3,10),
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n(1,4,2),
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n(1,4,3),
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n(1,4,10),
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n(2,4,3),
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n(1,3,1),
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n(1,3,5),
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n(1,3,8),
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n(1,4,0),
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n(1,4,10),
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n(1,4,8),
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n(2,4,10),
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n(1,3,3),
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n(1,3,7),
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n(1,3,10),
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n(1,4,2),
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n(1,4,3),
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n(1,4,7),
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n(2,4,8),
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n(1,3,1),
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n(1,3,5),
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n(1,3,8),
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n(1,4,0),
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n(1,4,1),
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n(1,4,5),
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n(2,4,1),
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n(1,3,3),
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n(1,3,7),
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n(1,3,10),
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n(1,4,2),
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n(1,4,3),
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n(1,4,10),
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n(1,4,8),
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n(1,4,7),
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n(1,3,1),
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n(1,3,5),
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n(1,3,8),
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n(1,4,0),
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n(1,4,10),
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n(1,4,8),
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n(2,4,10),
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]
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let bass = [
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n(1,1,3),
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n(1,1,10),
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n(1,1,1),
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n(1,1,8),
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n(1,1,3),
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n(1,2,3),
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n(1,1,1),
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n(1,1,10),
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]
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let melody2 = [
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n(1,0,0),
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n(1,5,10),
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n(1,5,8),
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n(1,5,7),
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n(1,5,8),
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n(3,5,7,2),
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n(1,5,3),
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n(1,4,10),
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n(6,5,1,2),
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n(1/2,5,0,2),
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n(1/2,5,1,2),
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n(3,5,3,2),
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n(1/2,5,10,2),
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n(7/2,5,3,2),
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n(8,0,0),
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n(1,0,0),
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n(1,5,3),
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n(1,5,10),
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n(1,5,10),
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n(4/3,5,10),
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n(4/3,5,8),
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n(4/3,5,7),
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n(1,0,0),
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n(1,5,1),
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n(1,5,8),
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n(1,5,8),
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n(4/3,5,8),
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n(4/3,5,8),
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n(4/3,5,10),
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n(8,0,0),
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n(1,0,0),
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n(5,5,3,2),
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n(2,5,10,2),
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]
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let melody3 = [
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n(1,0,0),
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n(1,5,10),
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n(1/2,5,8,2/3),
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n(1/2,5,7,2/3),
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n(1/4,5,8,1/2),
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n(1/4,5,7,1/2),
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n(1/4,5,8,1/2),
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n(1/4,5,7,1/2),
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n(1,5,8),
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n(3,5,7,2),
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n(1,5,3),
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n(1,4,10),
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n(1,5,1),
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n(5,5,7,2),
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n(1/2,5,7),
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n(1/2,5,10),
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n(1/4,5,7),
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n(1/4,5,10),
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n(1/4,5,7),
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n(1/4,5,10),
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n(1,6,3),
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n(2,5,3,2),
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n(1/2,6,3),
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n(5/2,5,3,2),
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n(1/2,5,10),
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n(1/2,5,8),
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n(1/2,5,7),
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n(1/2,5,8),
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n(1/2,5,7),
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n(1/2,5,3),
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n(1/2,4,10),
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n(1/2,5,1),
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n(1/2,5,0),
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n(1/2,4,10),
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n(1/2,4,8),
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n(1/2,4,10),
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n(1/2,5,3),
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n(1/2,5,7),
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n(1/2,5,3),
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n(1/2,5,10),
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n(4/3,5,7),
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n(4/3,6,3),
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n(4/3,6,3),
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n(4/3,6,2),
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n(4/3,5,10),
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n(4/3,5,7),
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n(3,5,5),
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n(2,5,7),
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n(2,5,8),
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n(1,6,1),
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n(1,5,3),
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n(1,5,5),
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n(2,5,7),
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n(1,5,3),
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n(1,5,8),
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n(2,5,10),
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n(3/2,6,0),
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n(3/2,6,1),
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n(5,6,3,2),
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]
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let outro = [
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n(1,3,3),
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n(1,3,7),
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n(1,3,10),
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n(1,4,2),
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n(1,4,3),
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n(1,4,7),
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n(2,4,8),
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n(1,3,1),
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n(1,3,5),
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n(1,3,8),
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n(1,4,0),
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n(1,4,1),
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n(1,4,5),
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n(2,4,8),
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n(1,2,11),
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n(1,3,3),
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n(1,3,6),
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n(1,3,10),
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n(1.5,3,11),
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n(1.5,4,3),
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n(3,4,8),
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n(1.5,2,8),
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n(1.5,3,0),
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n(2,3,3),
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n(16,3,7,2),
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]
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from std/algorithm import sort
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# Process all lists of notes
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var music: seq[ProcessedNote] = @[]
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music.process(intro, 0, 4)
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music.process(melody, 8, 4)
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music.process(melody, 24, 4)
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music.process(bass, 24, gain=1.5)
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music.process(bass, 32, gain=1.5)
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music.process(melody, 40, 4)
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music.process(melody2, 40, 4)
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music.process(bass, 40, gain=1.5)
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music.process(bass, 48, gain=1.5)
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music.process(melody, 56, 4)
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music.process(melody3, 56, 4)
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music.process(bass, 56, gain=1.5)
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music.process(bass, 64, gain=1.5)
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music.process(outro, 72, 4)
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music.sort()
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# Print out music encoded in s16 to standard output
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for i in (0 * bitrate ..< 84 * bitrate):
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let bytes = cast[array[4, uint8]](music.at(i / bitrate))
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doAssert 4 == stdout.writeBytes(bytes, 0, 4)
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68
musiclib.nim
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68
musiclib.nim
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@ -0,0 +1,68 @@
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import std/[algorithm, math, sugar]
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type Note* = tuple
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len: float
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octave: float
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step: float
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vol: float
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func n*(a, b, c, d: float = 1): Note =
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(a, b, c, d)
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type ProcessedNote* = tuple
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start: float
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`end`: float
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octave: float
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step: float
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vol: float
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func process*(music: var seq[ProcessedNote], notes: openArray[Note]; m_start: float, speed: float=1, gain:float = 1) =
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## Adds a list of notes to the music list
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var start = m_start
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var t = start
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for note in notes:
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let vol = note[3]
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start = min(t, t + note[0] / speed)
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let `end` = max(t, t + note[0] / speed)
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music &= ((start, `end`, note[1], note[2], vol * gain))
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t = `end`
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func bisect(music: openArray[ProcessedNote], x: (float, float)): int =
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## Return the index where to insert item `x` in list `music`, assuming `music` is sorted.
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music.lowerBound(x, (m, key) => cmp((m[0], m[1]), key))
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func freq(octave, step: float): float =
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## Returns the frequency of a note
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55 * pow(2, (octave + step / 12 - 1))
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func tone(f, t: float): float =
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## Returns the intensity of a tone of frequency f sampled at time t
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# https://dsp.stackexchange.com/questions/46598/mathematical-equation-for-the-sound-wave-that-a-piano-makes
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# https://youtu.be/ogFAHvYatWs?t=254
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# return int(2**13*(1+square(t, 440*2**(math.floor(5*t)/12))))
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# 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)])
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# Y += Y * Y * Y
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# Y *= 1 + 16 * t * math.exp(-6 * t)
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let w = 2 * PI * f
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var Y = 0.6 * math.sin(w * t) * math.exp(-0.001 * w * t)
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Y += 0.2 * math.sin(2 * w * t) * math.exp(-0.001 * w * t)
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Y += 0.05 * math.sin(3 * w * t) * math.exp(-0.001 * w * t)
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Y += Y * Y * Y
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Y *= 1 + 16 * t * math.exp(-6 * t)
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Y
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const bias: float = pow(2.0, 28.0)
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func at*(music: openArray[ProcessedNote], t: float): int32 =
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## Returns the total intensity of music sampled at time t
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let i: int = music.bisect((t, pow(2.0, 31.0)))
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# This is actually pretty efficient ngl
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# Because people usually don't have that many overlapping notes
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var ret: float = 0
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# this `32` is flaky
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# maybe some notes are longer?
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for j in (max(i - 32, 0) ..< i):
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let m = music[j]
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if m[0] + m[1] > t:
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ret += m[4] * tone(freq(m[2], m[3]), t - m[0])
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int32(ret * bias)
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