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feat(protocol): add a script to calculate
slotSmoothingFactor (#13109)
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| # README | ||
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| A script to calculate `slotSmoothingFactor` in `TaikoData.Config` given: | ||
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| - expected block time | ||
| - expected proof time | ||
| - expected slot availability multiplier | ||
| ... | ||
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| ## How to run | ||
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| `python3 main.py` |
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| import math | ||
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| if __name__ == "__main__": | ||
| print("Expected block time (seconds)", end=": ") | ||
| block_time = int(input()) | ||
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| print("Expected proof time (minutes)", end=": ") | ||
| proof_time = int(input()) * 60 | ||
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| print("Slot availability multiplier", end=": ") | ||
| slot_availability_multiplier = int(input()) | ||
| if slot_availability_multiplier <= 5: | ||
| print("error: Slot availability multiplier must be greater than 5") | ||
| exit(1) | ||
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| print("Number of ZKPs required per block before verificaiton", end=": ") | ||
| zk_proofs_per_block = int(input()) | ||
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| if zk_proofs_per_block < 1 or zk_proofs_per_block > 5: | ||
| print("error: Number of ZKPs must be between 1 and 5") | ||
| exit(1) | ||
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| if zk_proofs_per_block == 1: | ||
| min_num_slots = math.ceil(1.0 * proof_time / block_time) | ||
| initial_uncle_delay = proof_time | ||
| else: | ||
| print("Inital uncle proof delay (minutes)", end=": ") | ||
| initial_uncle_delay = int(input()) * 60 | ||
| min_num_slots = math.ceil(1.0 * (proof_time + initial_uncle_delay) / block_time) | ||
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| print("Extra slots (e.g, 50 means 50% more slots)", end=": ") | ||
| extra_slots = int(input()) | ||
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| print("---------") | ||
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| print("min num slots:", min_num_slots) | ||
| max_num_slots = min_num_slots + math.ceil(min_num_slots * extra_slots / 100) + 1 | ||
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| k = slot_availability_multiplier | ||
| n = max_num_slots | ||
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| # https://www.wolframalpha.com/input?i=solve++%28n%2Bx%29%28n%2Bx-1%29%3Dk*%281%2Bx%29x+for+x | ||
| fee_smoothing_factor = ( | ||
| k - 2 * n + 1 - math.sqrt(k * (k + 4 * n * n - 8 * n + 2) + 1.0) | ||
| ) / (2 - 2 * k) | ||
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| fee_smoothing_factor = int(fee_smoothing_factor * 1000) | ||
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| # f = fee_smoothing_factor | ||
| # print(1.0*(f+n*1000)*(f+n*1000-1000)/((f+1000)*f)) | ||
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| print("---------") | ||
| print("initialUncleDelay:", int(initial_uncle_delay / 60), "minutes") | ||
| print("maxNumBlocks:", max_num_slots) | ||
| print("zkProofsPerBlock:", zk_proofs_per_block) | ||
| print("slotSmoothingFactor:", fee_smoothing_factor) |