Q: How to calculate the next quantize position?

[DarkStar]

In a JS FX, I wish to position a note at the next quantized position for that note length. For example a 16th note will be moved to the next 16th beat position (x.00, x.25, x.50, x.75). An 8th triplet will be moved to the next 8T position (x.00. x.333. x.666).

I have come up with this:

note_sync = 1/4; // note length
note_pos = floor(beat_position) + (note_sync * ceil((beat_position - floor(beat_position)) / note_sync));

/* explanation of the calculation
beat_position - floor(beat_position) gives the decimal part of the beat position
(beat_position - floor(beat_position)) / note_sync gives the number of note_sync lengths in that decimal part
ceil( ... ) rounds up to the next integer number of note_sync lengths
(note_sync * ceil( ... )) gives the new decimal part of the beat position
floor(beat_position) gives the integer part of ther beat position
floor(beat_position) + (note_sync * ceil( ... )) gives the beat position for the next multiple of the note_sync

Examples:
-- beat position of 24.52 and note_sync of 1/3 (8th triplets) ==> 24.6666
-- beat position of 25 and note_sync of 1/3 (8th triplets) ==> 25
-- beat position of 25.1 and note_sync of 1/4 (16ths) ==> 25.25
-- beat position of 24.52 and note_sync of 3/8 (8ths dotted) ==> 24.75
/**/

Can you improve on this?