Find all possible batch sizes I could use for STT if I have this amount of samples.

compute_batch_sizes.py

#!/usr/bin/env python
"""
Compute batch sizes by samples.
Find all possible batch sizes I could use for STT if I have this amount of samples.

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"""

def list_batch_sizes(n_samples: int):
	
	batch_size_list = [1, n_samples] if n_samples > 1 else [1,] if n_samples == 1 else []
	
	for r in range(2, int(s/2)):
		d = float( s / r )
		if d.is_integer():
			if r not in batch_size_list:
				batch_size_list.append(r)
			if int(d) not in batch_size_list:
				batch_size_list.append(int(d))

number_of_samples = input("How much samples to batch?: ")

try:
    s = int(number_of_samples)
except ValueError as e:
    print("ERROR: Number of samples must be integer.")
    raise e

print(f"Finding all possible batch sizes for {str(s)} samples.")
print("Possible batch sizes are:")
print(list_batch_sizes(s))

This implementation scales poorly with ridiculously high samples.

How much samples to batch?: 1120566416
Finding all possible batch sizes for 1120566416 samples.
Possible batch sizes are:
[1, 2, 4, 8, 16, 2659, 5318, 10636, 21272, 26339, 42544, 52678, 105356, 210712, 421424, 70035401, 140070802, 280141604, 560283208, 1120566416]

took 3m 47s

I think we can use complex numbers to call a generating function somewhere but I'm not there yet.

This implementation scales poorly with ridiculously high samples.

How much samples to batch?: 1120566416
Finding all possible batch sizes for 1120566416 samples.
Possible batch sizes are:
[1, 2, 4, 8, 16, 2659, 5318, 10636, 21272, 26339, 42544, 52678, 105356, 210712, 421424, 70035401, 140070802, 280141604, 560283208, 1120566416]

took 3m 47s

Well I made it twice as fast with some clever tricks but it's still slow.

❯ ./compute_batch_sizes.py
How much samples to batch?: 1120566416
Finding all possible batch sizes for 1120566416 samples.
Possible batch sizes are:
[1, 2, 4, 8, 16, 2659, 5318, 10636, 21272, 26339, 42544, 52678, 105356, 210712, 421424, 70035401, 140070802, 280141604, 560283208, 1120566416]

took 1m 54s