github.com/nnlgsakib/mind-dpos@v0.0.0-20230606105614-f3c8ca06f808/consensus/ethash/consensus.go (about)

     1  // Copyright 2017 The go-ethereum Authors
     2  // This file is part of the go-ethereum library.
     3  //
     4  // The go-ethereum library is free software: you can redistribute it and/or modify
     5  // it under the terms of the GNU Lesser General Public License as published by
     6  // the Free Software Foundation, either version 3 of the License, or
     7  // (at your option) any later version.
     8  //
     9  // The go-ethereum library is distributed in the hope that it will be useful,
    10  // but WITHOUT ANY WARRANTY; without even the implied warranty of
    11  // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
    12  // GNU Lesser General Public License for more details.
    13  //
    14  // You should have received a copy of the GNU Lesser General Public License
    15  // along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
    16  
    17  package ethash
    18  
    19  import (
    20  	"bytes"
    21  	"errors"
    22  	"fmt"
    23  	"math/big"
    24  	"runtime"
    25  	"time"
    26  
    27  	"github.com/TTCECO/gttc/common"
    28  	"github.com/TTCECO/gttc/common/math"
    29  	"github.com/TTCECO/gttc/consensus"
    30  	"github.com/TTCECO/gttc/core/state"
    31  	"github.com/TTCECO/gttc/core/types"
    32  	"github.com/TTCECO/gttc/params"
    33  	set "gopkg.in/fatih/set.v0"
    34  )
    35  
    36  // Ethash proof-of-work protocol constants.
    37  var (
    38  	FrontierBlockReward    *big.Int = big.NewInt(5e+18) // Block reward in wei for successfully mining a block
    39  	ByzantiumBlockReward   *big.Int = big.NewInt(3e+18) // Block reward in wei for successfully mining a block upward from Byzantium
    40  	maxUncles                       = 2                 // Maximum number of uncles allowed in a single block
    41  	allowedFutureBlockTime          = 15 * time.Second  // Max time from current time allowed for blocks, before they're considered future blocks
    42  )
    43  
    44  // Various error messages to mark blocks invalid. These should be private to
    45  // prevent engine specific errors from being referenced in the remainder of the
    46  // codebase, inherently breaking if the engine is swapped out. Please put common
    47  // error types into the consensus package.
    48  var (
    49  	errLargeBlockTime    = errors.New("timestamp too big")
    50  	errZeroBlockTime     = errors.New("timestamp equals parent's")
    51  	errTooManyUncles     = errors.New("too many uncles")
    52  	errDuplicateUncle    = errors.New("duplicate uncle")
    53  	errUncleIsAncestor   = errors.New("uncle is ancestor")
    54  	errDanglingUncle     = errors.New("uncle's parent is not ancestor")
    55  	errInvalidDifficulty = errors.New("non-positive difficulty")
    56  	errInvalidMixDigest  = errors.New("invalid mix digest")
    57  	errInvalidPoW        = errors.New("invalid proof-of-work")
    58  )
    59  
    60  // Author implements consensus.Engine, returning the header's coinbase as the
    61  // proof-of-work verified author of the block.
    62  func (ethash *Ethash) Author(header *types.Header) (common.Address, error) {
    63  	return header.Coinbase, nil
    64  }
    65  
    66  // VerifyHeader checks whether a header conforms to the consensus rules of the
    67  // stock Ethereum ethash engine.
    68  func (ethash *Ethash) VerifyHeader(chain consensus.ChainReader, header *types.Header, seal bool) error {
    69  	// If we're running a full engine faking, accept any input as valid
    70  	if ethash.config.PowMode == ModeFullFake {
    71  		return nil
    72  	}
    73  	// Short circuit if the header is known, or it's parent not
    74  	number := header.Number.Uint64()
    75  	if chain.GetHeader(header.Hash(), number) != nil {
    76  		return nil
    77  	}
    78  	parent := chain.GetHeader(header.ParentHash, number-1)
    79  	if parent == nil {
    80  		return consensus.ErrUnknownAncestor
    81  	}
    82  	// Sanity checks passed, do a proper verification
    83  	return ethash.verifyHeader(chain, header, parent, false, seal)
    84  }
    85  
    86  // VerifyHeaders is similar to VerifyHeader, but verifies a batch of headers
    87  // concurrently. The method returns a quit channel to abort the operations and
    88  // a results channel to retrieve the async verifications.
    89  func (ethash *Ethash) VerifyHeaders(chain consensus.ChainReader, headers []*types.Header, seals []bool) (chan<- struct{}, <-chan error) {
    90  	// If we're running a full engine faking, accept any input as valid
    91  	if ethash.config.PowMode == ModeFullFake || len(headers) == 0 {
    92  		abort, results := make(chan struct{}), make(chan error, len(headers))
    93  		for i := 0; i < len(headers); i++ {
    94  			results <- nil
    95  		}
    96  		return abort, results
    97  	}
    98  
    99  	// Spawn as many workers as allowed threads
   100  	workers := runtime.GOMAXPROCS(0)
   101  	if len(headers) < workers {
   102  		workers = len(headers)
   103  	}
   104  
   105  	// Create a task channel and spawn the verifiers
   106  	var (
   107  		inputs = make(chan int)
   108  		done   = make(chan int, workers)
   109  		errors = make([]error, len(headers))
   110  		abort  = make(chan struct{})
   111  	)
   112  	for i := 0; i < workers; i++ {
   113  		go func() {
   114  			for index := range inputs {
   115  				errors[index] = ethash.verifyHeaderWorker(chain, headers, seals, index)
   116  				done <- index
   117  			}
   118  		}()
   119  	}
   120  
   121  	errorsOut := make(chan error, len(headers))
   122  	go func() {
   123  		defer close(inputs)
   124  		var (
   125  			in, out = 0, 0
   126  			checked = make([]bool, len(headers))
   127  			inputs  = inputs
   128  		)
   129  		for {
   130  			select {
   131  			case inputs <- in:
   132  				if in++; in == len(headers) {
   133  					// Reached end of headers. Stop sending to workers.
   134  					inputs = nil
   135  				}
   136  			case index := <-done:
   137  				for checked[index] = true; checked[out]; out++ {
   138  					errorsOut <- errors[out]
   139  					if out == len(headers)-1 {
   140  						return
   141  					}
   142  				}
   143  			case <-abort:
   144  				return
   145  			}
   146  		}
   147  	}()
   148  	return abort, errorsOut
   149  }
   150  
   151  func (ethash *Ethash) verifyHeaderWorker(chain consensus.ChainReader, headers []*types.Header, seals []bool, index int) error {
   152  	var parent *types.Header
   153  	if index == 0 {
   154  		parent = chain.GetHeader(headers[0].ParentHash, headers[0].Number.Uint64()-1)
   155  	} else if headers[index-1].Hash() == headers[index].ParentHash {
   156  		parent = headers[index-1]
   157  	}
   158  	if parent == nil {
   159  		return consensus.ErrUnknownAncestor
   160  	}
   161  	if chain.GetHeader(headers[index].Hash(), headers[index].Number.Uint64()) != nil {
   162  		return nil // known block
   163  	}
   164  	return ethash.verifyHeader(chain, headers[index], parent, false, seals[index])
   165  }
   166  
   167  // VerifyUncles verifies that the given block's uncles conform to the consensus
   168  // rules of the stock Ethereum ethash engine.
   169  func (ethash *Ethash) VerifyUncles(chain consensus.ChainReader, block *types.Block) error {
   170  	// If we're running a full engine faking, accept any input as valid
   171  	if ethash.config.PowMode == ModeFullFake {
   172  		return nil
   173  	}
   174  	// Verify that there are at most 2 uncles included in this block
   175  	if len(block.Uncles()) > maxUncles {
   176  		return errTooManyUncles
   177  	}
   178  	// Gather the set of past uncles and ancestors
   179  	uncles, ancestors := set.New(), make(map[common.Hash]*types.Header)
   180  
   181  	number, parent := block.NumberU64()-1, block.ParentHash()
   182  	for i := 0; i < 7; i++ {
   183  		ancestor := chain.GetBlock(parent, number)
   184  		if ancestor == nil {
   185  			break
   186  		}
   187  		ancestors[ancestor.Hash()] = ancestor.Header()
   188  		for _, uncle := range ancestor.Uncles() {
   189  			uncles.Add(uncle.Hash())
   190  		}
   191  		parent, number = ancestor.ParentHash(), number-1
   192  	}
   193  	ancestors[block.Hash()] = block.Header()
   194  	uncles.Add(block.Hash())
   195  
   196  	// Verify each of the uncles that it's recent, but not an ancestor
   197  	for _, uncle := range block.Uncles() {
   198  		// Make sure every uncle is rewarded only once
   199  		hash := uncle.Hash()
   200  		if uncles.Has(hash) {
   201  			return errDuplicateUncle
   202  		}
   203  		uncles.Add(hash)
   204  
   205  		// Make sure the uncle has a valid ancestry
   206  		if ancestors[hash] != nil {
   207  			return errUncleIsAncestor
   208  		}
   209  		if ancestors[uncle.ParentHash] == nil || uncle.ParentHash == block.ParentHash() {
   210  			return errDanglingUncle
   211  		}
   212  		if err := ethash.verifyHeader(chain, uncle, ancestors[uncle.ParentHash], true, true); err != nil {
   213  			return err
   214  		}
   215  	}
   216  	return nil
   217  }
   218  
   219  // verifyHeader checks whether a header conforms to the consensus rules of the
   220  // stock Ethereum ethash engine.
   221  // See YP section 4.3.4. "Block Header Validity"
   222  func (ethash *Ethash) verifyHeader(chain consensus.ChainReader, header, parent *types.Header, uncle bool, seal bool) error {
   223  	// Ensure that the header's extra-data section is of a reasonable size
   224  	if uint64(len(header.Extra)) > params.MaximumExtraDataSize {
   225  		return fmt.Errorf("extra-data too long: %d > %d", len(header.Extra), params.MaximumExtraDataSize)
   226  	}
   227  	// Verify the header's timestamp
   228  	if uncle {
   229  		if header.Time.Cmp(math.MaxBig256) > 0 {
   230  			return errLargeBlockTime
   231  		}
   232  	} else {
   233  		if header.Time.Cmp(big.NewInt(time.Now().Add(allowedFutureBlockTime).Unix())) > 0 {
   234  			return consensus.ErrFutureBlock
   235  		}
   236  	}
   237  	if header.Time.Cmp(parent.Time) <= 0 {
   238  		return errZeroBlockTime
   239  	}
   240  	// Verify the block's difficulty based in it's timestamp and parent's difficulty
   241  	expected := ethash.CalcDifficulty(chain, header.Time.Uint64(), parent)
   242  
   243  	if expected.Cmp(header.Difficulty) != 0 {
   244  		return fmt.Errorf("invalid difficulty: have %v, want %v", header.Difficulty, expected)
   245  	}
   246  	// Verify that the gas limit is <= 2^63-1
   247  	cap := uint64(0x7fffffffffffffff)
   248  	if header.GasLimit > cap {
   249  		return fmt.Errorf("invalid gasLimit: have %v, max %v", header.GasLimit, cap)
   250  	}
   251  	// Verify that the gasUsed is <= gasLimit
   252  	if header.GasUsed > header.GasLimit {
   253  		return fmt.Errorf("invalid gasUsed: have %d, gasLimit %d", header.GasUsed, header.GasLimit)
   254  	}
   255  
   256  	// Verify that the gas limit remains within allowed bounds
   257  	diff := int64(parent.GasLimit) - int64(header.GasLimit)
   258  	if diff < 0 {
   259  		diff *= -1
   260  	}
   261  	limit := parent.GasLimit / params.GasLimitBoundDivisor
   262  
   263  	if uint64(diff) >= limit || header.GasLimit < params.MinGasLimit {
   264  		return fmt.Errorf("invalid gas limit: have %d, want %d += %d", header.GasLimit, parent.GasLimit, limit)
   265  	}
   266  	// Verify that the block number is parent's +1
   267  	if diff := new(big.Int).Sub(header.Number, parent.Number); diff.Cmp(big.NewInt(1)) != 0 {
   268  		return consensus.ErrInvalidNumber
   269  	}
   270  	// Verify the engine specific seal securing the block
   271  	if seal {
   272  		if err := ethash.VerifySeal(chain, header); err != nil {
   273  			return err
   274  		}
   275  	}
   276  
   277  	return nil
   278  }
   279  
   280  // CalcDifficulty is the difficulty adjustment algorithm. It returns
   281  // the difficulty that a new block should have when created at time
   282  // given the parent block's time and difficulty.
   283  func (ethash *Ethash) CalcDifficulty(chain consensus.ChainReader, time uint64, parent *types.Header) *big.Int {
   284  	return CalcDifficulty(chain.Config(), time, parent)
   285  }
   286  
   287  // CalcDifficulty is the difficulty adjustment algorithm. It returns
   288  // the difficulty that a new block should have when created at time
   289  // given the parent block's time and difficulty.
   290  func CalcDifficulty(config *params.ChainConfig, time uint64, parent *types.Header) *big.Int {
   291  	next := new(big.Int).Add(parent.Number, big1)
   292  	switch {
   293  	case config.IsByzantium(next):
   294  		return calcDifficultyByzantium(time, parent)
   295  	case config.IsHomestead(next):
   296  		return calcDifficultyHomestead(time, parent)
   297  	default:
   298  		return calcDifficultyFrontier(time, parent)
   299  	}
   300  }
   301  
   302  // Some weird constants to avoid constant memory allocs for them.
   303  var (
   304  	expDiffPeriod = big.NewInt(100000)
   305  	big1          = big.NewInt(1)
   306  	big2          = big.NewInt(2)
   307  	big9          = big.NewInt(9)
   308  	big10         = big.NewInt(10)
   309  	bigMinus99    = big.NewInt(-99)
   310  	big2999999    = big.NewInt(2999999)
   311  )
   312  
   313  // calcDifficultyByzantium is the difficulty adjustment algorithm. It returns
   314  // the difficulty that a new block should have when created at time given the
   315  // parent block's time and difficulty. The calculation uses the Byzantium rules.
   316  func calcDifficultyByzantium(time uint64, parent *types.Header) *big.Int {
   317  	// https://github.com/ethereum/EIPs/issues/100.
   318  	// algorithm:
   319  	// diff = (parent_diff +
   320  	//         (parent_diff / 2048 * max((2 if len(parent.uncles) else 1) - ((timestamp - parent.timestamp) // 9), -99))
   321  	//        ) + 2^(periodCount - 2)
   322  
   323  	bigTime := new(big.Int).SetUint64(time)
   324  	bigParentTime := new(big.Int).Set(parent.Time)
   325  
   326  	// holds intermediate values to make the algo easier to read & audit
   327  	x := new(big.Int)
   328  	y := new(big.Int)
   329  
   330  	// (2 if len(parent_uncles) else 1) - (block_timestamp - parent_timestamp) // 9
   331  	x.Sub(bigTime, bigParentTime)
   332  	x.Div(x, big9)
   333  	if parent.UncleHash == types.EmptyUncleHash {
   334  		x.Sub(big1, x)
   335  	} else {
   336  		x.Sub(big2, x)
   337  	}
   338  	// max((2 if len(parent_uncles) else 1) - (block_timestamp - parent_timestamp) // 9, -99)
   339  	if x.Cmp(bigMinus99) < 0 {
   340  		x.Set(bigMinus99)
   341  	}
   342  	// parent_diff + (parent_diff / 2048 * max((2 if len(parent.uncles) else 1) - ((timestamp - parent.timestamp) // 9), -99))
   343  	y.Div(parent.Difficulty, params.DifficultyBoundDivisor)
   344  	x.Mul(y, x)
   345  	x.Add(parent.Difficulty, x)
   346  
   347  	// minimum difficulty can ever be (before exponential factor)
   348  	if x.Cmp(params.MinimumDifficulty) < 0 {
   349  		x.Set(params.MinimumDifficulty)
   350  	}
   351  	// calculate a fake block number for the ice-age delay:
   352  	//   https://github.com/ethereum/EIPs/pull/669
   353  	//   fake_block_number = min(0, block.number - 3_000_000
   354  	fakeBlockNumber := new(big.Int)
   355  	if parent.Number.Cmp(big2999999) >= 0 {
   356  		fakeBlockNumber = fakeBlockNumber.Sub(parent.Number, big2999999) // Note, parent is 1 less than the actual block number
   357  	}
   358  	// for the exponential factor
   359  	periodCount := fakeBlockNumber
   360  	periodCount.Div(periodCount, expDiffPeriod)
   361  
   362  	// the exponential factor, commonly referred to as "the bomb"
   363  	// diff = diff + 2^(periodCount - 2)
   364  	if periodCount.Cmp(big1) > 0 {
   365  		y.Sub(periodCount, big2)
   366  		y.Exp(big2, y, nil)
   367  		x.Add(x, y)
   368  	}
   369  	return x
   370  }
   371  
   372  // calcDifficultyHomestead is the difficulty adjustment algorithm. It returns
   373  // the difficulty that a new block should have when created at time given the
   374  // parent block's time and difficulty. The calculation uses the Homestead rules.
   375  func calcDifficultyHomestead(time uint64, parent *types.Header) *big.Int {
   376  	// https://github.com/ethereum/EIPs/blob/master/EIPS/eip-2.md
   377  	// algorithm:
   378  	// diff = (parent_diff +
   379  	//         (parent_diff / 2048 * max(1 - (block_timestamp - parent_timestamp) // 10, -99))
   380  	//        ) + 2^(periodCount - 2)
   381  
   382  	bigTime := new(big.Int).SetUint64(time)
   383  	bigParentTime := new(big.Int).Set(parent.Time)
   384  
   385  	// holds intermediate values to make the algo easier to read & audit
   386  	x := new(big.Int)
   387  	y := new(big.Int)
   388  
   389  	// 1 - (block_timestamp - parent_timestamp) // 10
   390  	x.Sub(bigTime, bigParentTime)
   391  	x.Div(x, big10)
   392  	x.Sub(big1, x)
   393  
   394  	// max(1 - (block_timestamp - parent_timestamp) // 10, -99)
   395  	if x.Cmp(bigMinus99) < 0 {
   396  		x.Set(bigMinus99)
   397  	}
   398  	// (parent_diff + parent_diff // 2048 * max(1 - (block_timestamp - parent_timestamp) // 10, -99))
   399  	y.Div(parent.Difficulty, params.DifficultyBoundDivisor)
   400  	x.Mul(y, x)
   401  	x.Add(parent.Difficulty, x)
   402  
   403  	// minimum difficulty can ever be (before exponential factor)
   404  	if x.Cmp(params.MinimumDifficulty) < 0 {
   405  		x.Set(params.MinimumDifficulty)
   406  	}
   407  	// for the exponential factor
   408  	periodCount := new(big.Int).Add(parent.Number, big1)
   409  	periodCount.Div(periodCount, expDiffPeriod)
   410  
   411  	// the exponential factor, commonly referred to as "the bomb"
   412  	// diff = diff + 2^(periodCount - 2)
   413  	if periodCount.Cmp(big1) > 0 {
   414  		y.Sub(periodCount, big2)
   415  		y.Exp(big2, y, nil)
   416  		x.Add(x, y)
   417  	}
   418  	return x
   419  }
   420  
   421  // calcDifficultyFrontier is the difficulty adjustment algorithm. It returns the
   422  // difficulty that a new block should have when created at time given the parent
   423  // block's time and difficulty. The calculation uses the Frontier rules.
   424  func calcDifficultyFrontier(time uint64, parent *types.Header) *big.Int {
   425  	diff := new(big.Int)
   426  	adjust := new(big.Int).Div(parent.Difficulty, params.DifficultyBoundDivisor)
   427  	bigTime := new(big.Int)
   428  	bigParentTime := new(big.Int)
   429  
   430  	bigTime.SetUint64(time)
   431  	bigParentTime.Set(parent.Time)
   432  
   433  	if bigTime.Sub(bigTime, bigParentTime).Cmp(params.DurationLimit) < 0 {
   434  		diff.Add(parent.Difficulty, adjust)
   435  	} else {
   436  		diff.Sub(parent.Difficulty, adjust)
   437  	}
   438  	if diff.Cmp(params.MinimumDifficulty) < 0 {
   439  		diff.Set(params.MinimumDifficulty)
   440  	}
   441  
   442  	periodCount := new(big.Int).Add(parent.Number, big1)
   443  	periodCount.Div(periodCount, expDiffPeriod)
   444  	if periodCount.Cmp(big1) > 0 {
   445  		// diff = diff + 2^(periodCount - 2)
   446  		expDiff := periodCount.Sub(periodCount, big2)
   447  		expDiff.Exp(big2, expDiff, nil)
   448  		diff.Add(diff, expDiff)
   449  		diff = math.BigMax(diff, params.MinimumDifficulty)
   450  	}
   451  	return diff
   452  }
   453  
   454  // VerifySeal implements consensus.Engine, checking whether the given block satisfies
   455  // the PoW difficulty requirements.
   456  func (ethash *Ethash) VerifySeal(chain consensus.ChainReader, header *types.Header) error {
   457  	// If we're running a fake PoW, accept any seal as valid
   458  	if ethash.config.PowMode == ModeFake || ethash.config.PowMode == ModeFullFake {
   459  		time.Sleep(ethash.fakeDelay)
   460  		if ethash.fakeFail == header.Number.Uint64() {
   461  			return errInvalidPoW
   462  		}
   463  		return nil
   464  	}
   465  	// If we're running a shared PoW, delegate verification to it
   466  	if ethash.shared != nil {
   467  		return ethash.shared.VerifySeal(chain, header)
   468  	}
   469  	// Ensure that we have a valid difficulty for the block
   470  	if header.Difficulty.Sign() <= 0 {
   471  		return errInvalidDifficulty
   472  	}
   473  	// Recompute the digest and PoW value and verify against the header
   474  	number := header.Number.Uint64()
   475  
   476  	cache := ethash.cache(number)
   477  	size := datasetSize(number)
   478  	if ethash.config.PowMode == ModeTest {
   479  		size = 32 * 1024
   480  	}
   481  	digest, result := hashimotoLight(size, cache.cache, header.HashNoNonce().Bytes(), header.Nonce.Uint64())
   482  	// Caches are unmapped in a finalizer. Ensure that the cache stays live
   483  	// until after the call to hashimotoLight so it's not unmapped while being used.
   484  	runtime.KeepAlive(cache)
   485  
   486  	if !bytes.Equal(header.MixDigest[:], digest) {
   487  		return errInvalidMixDigest
   488  	}
   489  	target := new(big.Int).Div(maxUint256, header.Difficulty)
   490  	if new(big.Int).SetBytes(result).Cmp(target) > 0 {
   491  		return errInvalidPoW
   492  	}
   493  	return nil
   494  }
   495  
   496  // Prepare implements consensus.Engine, initializing the difficulty field of a
   497  // header to conform to the ethash protocol. The changes are done inline.
   498  func (ethash *Ethash) Prepare(chain consensus.ChainReader, header *types.Header) error {
   499  	parent := chain.GetHeader(header.ParentHash, header.Number.Uint64()-1)
   500  	if parent == nil {
   501  		return consensus.ErrUnknownAncestor
   502  	}
   503  	header.Difficulty = ethash.CalcDifficulty(chain, header.Time.Uint64(), parent)
   504  	return nil
   505  }
   506  
   507  // Finalize implements consensus.Engine, accumulating the block and uncle rewards,
   508  // setting the final state and assembling the block.
   509  func (ethash *Ethash) Finalize(chain consensus.ChainReader, header *types.Header, state *state.StateDB, txs []*types.Transaction, uncles []*types.Header, receipts []*types.Receipt) (*types.Block, error) {
   510  	// Accumulate any block and uncle rewards and commit the final state root
   511  	accumulateRewards(chain.Config(), state, header, uncles)
   512  	header.Root = state.IntermediateRoot(chain.Config().IsEIP158(header.Number))
   513  
   514  	// Header seems complete, assemble into a block and return
   515  	return types.NewBlock(header, txs, uncles, receipts), nil
   516  }
   517  
   518  // Some weird constants to avoid constant memory allocs for them.
   519  var (
   520  	big8  = big.NewInt(8)
   521  	big32 = big.NewInt(32)
   522  )
   523  
   524  // AccumulateRewards credits the coinbase of the given block with the mining
   525  // reward. The total reward consists of the static block reward and rewards for
   526  // included uncles. The coinbase of each uncle block is also rewarded.
   527  func accumulateRewards(config *params.ChainConfig, state *state.StateDB, header *types.Header, uncles []*types.Header) {
   528  	// Select the correct block reward based on chain progression
   529  	blockReward := FrontierBlockReward
   530  	if config.IsByzantium(header.Number) {
   531  		blockReward = ByzantiumBlockReward
   532  	}
   533  	// Accumulate the rewards for the miner and any included uncles
   534  	reward := new(big.Int).Set(blockReward)
   535  	r := new(big.Int)
   536  	for _, uncle := range uncles {
   537  		r.Add(uncle.Number, big8)
   538  		r.Sub(r, header.Number)
   539  		r.Mul(r, blockReward)
   540  		r.Div(r, big8)
   541  		state.AddBalance(uncle.Coinbase, r)
   542  
   543  		r.Div(blockReward, big32)
   544  		reward.Add(reward, r)
   545  	}
   546  	state.AddBalance(header.Coinbase, reward)
   547  }