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consensus/ethash: implement faster difficulty calculators (ethereum#2…
…1976) This PR adds re-written difficulty calculators, which are based on uint256. It also adds a fuzzer + oss-fuzz integration for the new fuzzer. It does differential fuzzing between the new and old calculators. Note: this PR does not actually enable the new calculators.
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// Copyright 2020 The go-ethereum Authors | ||
// This file is part of the go-ethereum library. | ||
// | ||
// The go-ethereum library is free software: you can redistribute it and/or modify | ||
// it under the terms of the GNU Lesser General Public License as published by | ||
// the Free Software Foundation, either version 3 of the License, or | ||
// (at your option) any later version. | ||
// | ||
// The go-ethereum library is distributed in the hope that it will be useful, | ||
// but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
// GNU Lesser General Public License for more details. | ||
// | ||
// You should have received a copy of the GNU Lesser General Public License | ||
// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>. | ||
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package ethash | ||
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import ( | ||
"math/big" | ||
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"github.com/ethereum/go-ethereum/core/types" | ||
"github.com/holiman/uint256" | ||
) | ||
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const ( | ||
// frontierDurationLimit is for Frontier: | ||
// The decision boundary on the blocktime duration used to determine | ||
// whether difficulty should go up or down. | ||
frontierDurationLimit = 13 | ||
// minimumDifficulty The minimum that the difficulty may ever be. | ||
minimumDifficulty = 131072 | ||
// expDiffPeriod is the exponential difficulty period | ||
expDiffPeriodUint = 100000 | ||
// difficultyBoundDivisorBitShift is the bound divisor of the difficulty (2048), | ||
// This constant is the right-shifts to use for the division. | ||
difficultyBoundDivisor = 11 | ||
) | ||
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// CalcDifficultyFrontierU256 is the difficulty adjustment algorithm. It returns the | ||
// difficulty that a new block should have when created at time given the parent | ||
// block's time and difficulty. The calculation uses the Frontier rules. | ||
func CalcDifficultyFrontierU256(time uint64, parent *types.Header) *big.Int { | ||
/* | ||
Algorithm | ||
block_diff = pdiff + pdiff / 2048 * (1 if time - ptime < 13 else -1) + int(2^((num // 100000) - 2)) | ||
Where: | ||
- pdiff = parent.difficulty | ||
- ptime = parent.time | ||
- time = block.timestamp | ||
- num = block.number | ||
*/ | ||
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pDiff := uint256.NewInt() | ||
pDiff.SetFromBig(parent.Difficulty) // pDiff: pdiff | ||
adjust := pDiff.Clone() | ||
adjust.Rsh(adjust, difficultyBoundDivisor) // adjust: pDiff / 2048 | ||
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if time-parent.Time < frontierDurationLimit { | ||
pDiff.Add(pDiff, adjust) | ||
} else { | ||
pDiff.Sub(pDiff, adjust) | ||
} | ||
if pDiff.LtUint64(minimumDifficulty) { | ||
pDiff.SetUint64(minimumDifficulty) | ||
} | ||
// 'pdiff' now contains: | ||
// pdiff + pdiff / 2048 * (1 if time - ptime < 13 else -1) | ||
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if periodCount := (parent.Number.Uint64() + 1) / expDiffPeriodUint; periodCount > 1 { | ||
// diff = diff + 2^(periodCount - 2) | ||
expDiff := adjust.SetOne() | ||
expDiff.Lsh(expDiff, uint(periodCount-2)) // expdiff: 2 ^ (periodCount -2) | ||
pDiff.Add(pDiff, expDiff) | ||
} | ||
return pDiff.ToBig() | ||
} | ||
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// CalcDifficultyHomesteadU256 is the difficulty adjustment algorithm. It returns | ||
// the difficulty that a new block should have when created at time given the | ||
// parent block's time and difficulty. The calculation uses the Homestead rules. | ||
func CalcDifficultyHomesteadU256(time uint64, parent *types.Header) *big.Int { | ||
/* | ||
https://github.com/ethereum/EIPs/blob/master/EIPS/eip-2.md | ||
Algorithm: | ||
block_diff = pdiff + pdiff / 2048 * max(1 - (time - ptime) / 10, -99) + 2 ^ int((num / 100000) - 2)) | ||
Our modification, to use unsigned ints: | ||
block_diff = pdiff - pdiff / 2048 * max((time - ptime) / 10 - 1, 99) + 2 ^ int((num / 100000) - 2)) | ||
Where: | ||
- pdiff = parent.difficulty | ||
- ptime = parent.time | ||
- time = block.timestamp | ||
- num = block.number | ||
*/ | ||
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pDiff := uint256.NewInt() | ||
pDiff.SetFromBig(parent.Difficulty) // pDiff: pdiff | ||
adjust := pDiff.Clone() | ||
adjust.Rsh(adjust, difficultyBoundDivisor) // adjust: pDiff / 2048 | ||
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x := (time - parent.Time) / 10 // (time - ptime) / 10) | ||
var neg = true | ||
if x == 0 { | ||
x = 1 | ||
neg = false | ||
} else if x >= 100 { | ||
x = 99 | ||
} else { | ||
x = x - 1 | ||
} | ||
z := new(uint256.Int).SetUint64(x) | ||
adjust.Mul(adjust, z) // adjust: (pdiff / 2048) * max((time - ptime) / 10 - 1, 99) | ||
if neg { | ||
pDiff.Sub(pDiff, adjust) // pdiff - pdiff / 2048 * max((time - ptime) / 10 - 1, 99) | ||
} else { | ||
pDiff.Add(pDiff, adjust) // pdiff + pdiff / 2048 * max((time - ptime) / 10 - 1, 99) | ||
} | ||
if pDiff.LtUint64(minimumDifficulty) { | ||
pDiff.SetUint64(minimumDifficulty) | ||
} | ||
// for the exponential factor, a.k.a "the bomb" | ||
// diff = diff + 2^(periodCount - 2) | ||
if periodCount := (1 + parent.Number.Uint64()) / expDiffPeriodUint; periodCount > 1 { | ||
expFactor := adjust.Lsh(adjust.SetOne(), uint(periodCount-2)) | ||
pDiff.Add(pDiff, expFactor) | ||
} | ||
return pDiff.ToBig() | ||
} | ||
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// MakeDifficultyCalculatorU256 creates a difficultyCalculator with the given bomb-delay. | ||
// the difficulty is calculated with Byzantium rules, which differs from Homestead in | ||
// how uncles affect the calculation | ||
func MakeDifficultyCalculatorU256(bombDelay *big.Int) func(time uint64, parent *types.Header) *big.Int { | ||
// Note, the calculations below looks at the parent number, which is 1 below | ||
// the block number. Thus we remove one from the delay given | ||
bombDelayFromParent := bombDelay.Uint64() - 1 | ||
return func(time uint64, parent *types.Header) *big.Int { | ||
/* | ||
https://github.com/ethereum/EIPs/issues/100 | ||
pDiff = parent.difficulty | ||
BLOCK_DIFF_FACTOR = 9 | ||
a = pDiff + (pDiff // BLOCK_DIFF_FACTOR) * adj_factor | ||
b = min(parent.difficulty, MIN_DIFF) | ||
child_diff = max(a,b ) | ||
*/ | ||
x := (time - parent.Time) / 9 // (block_timestamp - parent_timestamp) // 9 | ||
c := uint64(1) // if parent.unclehash == emptyUncleHashHash | ||
if parent.UncleHash != types.EmptyUncleHash { | ||
c = 2 | ||
} | ||
xNeg := x >= c | ||
if xNeg { | ||
// x is now _negative_ adjustment factor | ||
x = x - c // - ( (t-p)/p -( 2 or 1) ) | ||
} else { | ||
x = c - x // (2 or 1) - (t-p)/9 | ||
} | ||
if x > 99 { | ||
x = 99 // max(x, 99) | ||
} | ||
// parent_diff + (parent_diff / 2048 * max((2 if len(parent.uncles) else 1) - ((timestamp - parent.timestamp) // 9), -99)) | ||
y := new(uint256.Int) | ||
y.SetFromBig(parent.Difficulty) // y: p_diff | ||
pDiff := y.Clone() // pdiff: p_diff | ||
z := new(uint256.Int).SetUint64(x) //z : +-adj_factor (either pos or negative) | ||
y.Rsh(y, difficultyBoundDivisor) // y: p__diff / 2048 | ||
z.Mul(y, z) // z: (p_diff / 2048 ) * (+- adj_factor) | ||
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if xNeg { | ||
y.Sub(pDiff, z) // y: parent_diff + parent_diff/2048 * adjustment_factor | ||
} else { | ||
y.Add(pDiff, z) // y: parent_diff + parent_diff/2048 * adjustment_factor | ||
} | ||
// minimum difficulty can ever be (before exponential factor) | ||
if y.LtUint64(minimumDifficulty) { | ||
y.SetUint64(minimumDifficulty) | ||
} | ||
// calculate a fake block number for the ice-age delay | ||
// Specification: https://eips.ethereum.org/EIPS/eip-1234 | ||
var pNum = parent.Number.Uint64() | ||
if pNum >= bombDelayFromParent { | ||
if fakeBlockNumber := pNum - bombDelayFromParent; fakeBlockNumber >= 2*expDiffPeriodUint { | ||
z.SetOne() | ||
z.Lsh(z, uint(fakeBlockNumber/expDiffPeriodUint-2)) | ||
y.Add(z, y) | ||
} | ||
} | ||
return y.ToBig() | ||
} | ||
} |
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package main | ||
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import ( | ||
"fmt" | ||
"io/ioutil" | ||
"os" | ||
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"github.com/ethereum/go-ethereum/tests/fuzzers/difficulty" | ||
) | ||
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func main() { | ||
if len(os.Args) != 2 { | ||
fmt.Fprintf(os.Stderr, "Usage: debug <file>") | ||
os.Exit(1) | ||
} | ||
crasher := os.Args[1] | ||
data, err := ioutil.ReadFile(crasher) | ||
if err != nil { | ||
fmt.Fprintf(os.Stderr, "error loading crasher %v: %v", crasher, err) | ||
os.Exit(1) | ||
} | ||
difficulty.Fuzz(data) | ||
} |
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