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September 25, 2022 22:35
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,33 @@ from collections import defaultdict def compute_slices( n: int, k: int, seed: Optional[int] = None, ) -> List[float]: np.random.seed(seed) tokens = np.random.rand(n * k) servers = np.random.choice(range(n), n * k) idxs = np.argsort(tokens) fractions = defaultdict(int) for idx_prev, idx in zip(idxs, idxs[1:]): server_prev = servers[idx_prev] diff = tokens[idx] - tokens[idx_prev] fractions[server_prev] += diff last = 1 - tokens[idxs[-1]] last += tokens[idxs[0]] fractions[servers[-1]] += last assert sum(fractions.values()) == 1 return fractions df_slices = pd.DataFrame( dict( k=k, exp_idx=exp_idx, server1=compute_slices(n=5, k=k, seed=exp_idx)[0], ) for k in (1, 5, 10, 100, 1000, 10_000) for exp_idx in range(100) ).fillna(0)