Created
July 11, 2025 12:26
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| import random | |
| import matplotlib.pyplot as plt | |
| def choose_from(size: int) -> int: | |
| start, end = 0, size | |
| dst = size | |
| while dst > 1: | |
| if random.getrandbits(1): | |
| start += dst // 2 # choose rhs | |
| else: | |
| end -= dst // 2 # choose lhs | |
| dst = end - start | |
| return start | |
| N = 100_000 | |
| n = 512 | |
| assert n > 0 and (n & (n - 1) == 0), "range must be positive power of 2" | |
| rand_output = [choose_from(n) for i in range(N)] | |
| # Plot histogram | |
| plt.figure(figsize=(12, 5)) | |
| plt.hist(rand_output, bins=n, range=(0, n), edgecolor='black', density=False) | |
| plt.xlabel('Chosen number') | |
| plt.ylabel('Frequency') | |
| plt.title(f'Histogram of Random Integer Choices over {N} Trials (Range = {n})') | |
| plt.grid(True, axis='y', linestyle='--', alpha=0.7) | |
| plt.tight_layout() | |
| plt.show() |
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