Refactor the PowerCmp function
Why we have this: This algorithm here directly follow the rule of ratio to win, and easier to understand. Just think about a smaller space, e.g. 100, instead of 2^256. When one miner has 10% power, it should have 10% ratio to win. that is, when the h is in {0..9}, it wins. Simply speaking, it is: (h + 1) / 100 <= 10% , instead of h / 99 < 10% The former is easier to understand, though both are equivalent when h is an integer and power_ratio < 1)
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@ -166,24 +166,25 @@ func PowerCmp(eproof ElectionProof, mpow, totpow BigInt) bool {
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/*
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/*
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Need to check that
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Need to check that
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h(vrfout) / max(h) < e * minerPower / totalPower
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(h(vrfout) + 1) / (max(h) + 1) <= e * minerPower / totalPower
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max(h) == 2^256-1
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max(h) == 2^256-1
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which in terms of integer math means:
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which in terms of integer math means:
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h(vrfout) * totalPower < e * minerPower * (2^256-1)
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(h(vrfout) + 1) * totalPower <= e * minerPower * 2^256
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*/
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*/
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h := sha256.Sum256(eproof)
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h := sha256.Sum256(eproof)
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lhs := BigFromBytes(h[:]).Int
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lhs := BigFromBytes(h[:]).Int
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lhs = lhs.Add(lhs, NewInt(1).Int)
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lhs = lhs.Mul(lhs, totpow.Int)
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lhs = lhs.Mul(lhs, totpow.Int)
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// rhs = minerPower * 2^256 - minerPower
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// rhs = minerPower * 2^256
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// rhs = minerPower << 256 - minerPower
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// rhs = minerPower << 256
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rhs := new(big.Int).Lsh(mpow.Int, 256)
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rhs := new(big.Int).Lsh(mpow.Int, 256)
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rhs = rhs.Mul(rhs, blocksPerEpoch.Int)
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rhs = rhs.Mul(rhs, blocksPerEpoch.Int)
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rhs = rhs.Sub(rhs, mpow.Int)
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// return true if lhs is less than or equal to rhs
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return lhs.Cmp(rhs) == -1
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return lhs.Cmp(rhs) < 1
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}
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}
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func (t *Ticket) Equals(ot *Ticket) bool {
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func (t *Ticket) Equals(ot *Ticket) bool {
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