github.com/cranelv/ethereum_mpc@v0.0.0-20191031014521-23aeb1415092/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/ethereum/go-ethereum/common"
    28  	"github.com/ethereum/go-ethereum/common/math"
    29  	"github.com/ethereum/go-ethereum/consensus"
    30  	"github.com/ethereum/go-ethereum/consensus/misc"
    31  	"github.com/ethereum/go-ethereum/core/state"
    32  	"github.com/ethereum/go-ethereum/core/types"
    33  	"github.com/ethereum/go-ethereum/params"
    34  	set "gopkg.in/fatih/set.v0"
    35  	"github.com/ethereum/go-ethereum/log"
    36  )
    37  
    38  // Ethash proof-of-work protocol constants.
    39  var (
    40  	FrontierBlockReward    *big.Int = big.NewInt(5e+18) // Block reward in wei for successfully mining a block
    41  	ByzantiumBlockReward   *big.Int = big.NewInt(3e+18) // Block reward in wei for successfully mining a block upward from Byzantium
    42  	maxUncles                       = 2                 // Maximum number of uncles allowed in a single block
    43  	allowedFutureBlockTime          = 15 * time.Second  // Max time from current time allowed for blocks, before they're considered future blocks
    44  )
    45  
    46  // Various error messages to mark blocks invalid. These should be private to
    47  // prevent engine specific errors from being referenced in the remainder of the
    48  // codebase, inherently breaking if the engine is swapped out. Please put common
    49  // error types into the consensus package.
    50  var (
    51  	errLargeBlockTime    = errors.New("timestamp too big")
    52  	errZeroBlockTime     = errors.New("timestamp equals parent's")
    53  	errTooManyUncles     = errors.New("too many uncles")
    54  	errDuplicateUncle    = errors.New("duplicate uncle")
    55  	errUncleIsAncestor   = errors.New("uncle is ancestor")
    56  	errDanglingUncle     = errors.New("uncle's parent is not ancestor")
    57  	errInvalidDifficulty = errors.New("non-positive difficulty")
    58  	errInvalidMixDigest  = errors.New("invalid mix digest")
    59  	errInvalidPoW        = errors.New("invalid proof-of-work")
    60  )
    61  
    62  // Author implements consensus.Engine, returning the header's coinbase as the
    63  // proof-of-work verified author of the block.
    64  func (ethash *Ethash) Author(header *types.Header) (common.Address, error) {
    65  	return header.Coinbase, nil
    66  }
    67  
    68  // VerifyHeader checks whether a header conforms to the consensus rules of the
    69  // stock Ethereum ethash engine.
    70  func (ethash *Ethash) VerifyHeader(chain consensus.ChainReader, header *types.Header, seal bool) error {
    71  	// If we're running a full engine faking, accept any input as valid
    72  	if ethash.config.PowMode == ModeFullFake {
    73  		return nil
    74  	}
    75  	// Short circuit if the header is known, or it's parent not
    76  	number := header.Number.Uint64()
    77  	if chain.GetHeader(header.Hash(), number) != nil {
    78  		return nil
    79  	}
    80  	parent := chain.GetHeader(header.ParentHash, number-1)
    81  	if parent == nil {
    82  		return consensus.ErrUnknownAncestor
    83  	}
    84  	// Sanity checks passed, do a proper verification
    85  	return ethash.verifyHeader(chain, header, parent, false, seal)
    86  }
    87  
    88  // VerifyHeaders is similar to VerifyHeader, but verifies a batch of headers
    89  // concurrently. The method returns a quit channel to abort the operations and
    90  // a results channel to retrieve the async verifications.
    91  func (ethash *Ethash) VerifyHeaders(chain consensus.ChainReader, headers []*types.Header, seals []bool) (chan<- struct{}, <-chan error) {
    92  	// If we're running a full engine faking, accept any input as valid
    93  	if ethash.config.PowMode == ModeFullFake || len(headers) == 0 {
    94  		abort, results := make(chan struct{}), make(chan error, len(headers))
    95  		for i := 0; i < len(headers); i++ {
    96  			results <- nil
    97  		}
    98  		return abort, results
    99  	}
   100  
   101  	// Spawn as many workers as allowed threads
   102  	workers := runtime.GOMAXPROCS(0)
   103  	if len(headers) < workers {
   104  		workers = len(headers)
   105  	}
   106  
   107  	// Create a task channel and spawn the verifiers
   108  	var (
   109  		inputs = make(chan int)
   110  		done   = make(chan int, workers)
   111  		errors = make([]error, len(headers))
   112  		abort  = make(chan struct{})
   113  	)
   114  	for i := 0; i < workers; i++ {
   115  		go func() {
   116  			for index := range inputs {
   117  				errors[index] = ethash.verifyHeaderWorker(chain, headers, seals, index)
   118  				done <- index
   119  			}
   120  		}()
   121  	}
   122  
   123  	errorsOut := make(chan error, len(headers))
   124  	go func() {
   125  		defer close(inputs)
   126  		var (
   127  			in, out = 0, 0
   128  			checked = make([]bool, len(headers))
   129  			inputs  = inputs
   130  		)
   131  		for {
   132  			select {
   133  			case inputs <- in:
   134  				if in++; in == len(headers) {
   135  					// Reached end of headers. Stop sending to workers.
   136  					inputs = nil
   137  				}
   138  			case index := <-done:
   139  				for checked[index] = true; checked[out]; out++ {
   140  					errorsOut <- errors[out]
   141  					if out == len(headers)-1 {
   142  						return
   143  					}
   144  				}
   145  			case <-abort:
   146  				return
   147  			}
   148  		}
   149  	}()
   150  	return abort, errorsOut
   151  }
   152  
   153  func (ethash *Ethash) verifyHeaderWorker(chain consensus.ChainReader, headers []*types.Header, seals []bool, index int) error {
   154  	var parent *types.Header
   155  	if index == 0 {
   156  		parent = chain.GetHeader(headers[0].ParentHash, headers[0].Number.Uint64()-1)
   157  	} else if headers[index-1].Hash() == headers[index].ParentHash {
   158  		parent = headers[index-1]
   159  	}
   160  	if parent == nil {
   161  		return consensus.ErrUnknownAncestor
   162  	}
   163  	if chain.GetHeader(headers[index].Hash(), headers[index].Number.Uint64()) != nil {
   164  		return nil // known block
   165  	}
   166  	return ethash.verifyHeader(chain, headers[index], parent, false, seals[index])
   167  }
   168  
   169  // VerifyUncles verifies that the given block's uncles conform to the consensus
   170  // rules of the stock Ethereum ethash engine.
   171  func (ethash *Ethash) VerifyUncles(chain consensus.ChainReader, block *types.Block) error {
   172  	// If we're running a full engine faking, accept any input as valid
   173  	if ethash.config.PowMode == ModeFullFake {
   174  		return nil
   175  	}
   176  	// Verify that there are at most 2 uncles included in this block
   177  	if len(block.Uncles()) > maxUncles {
   178  		return errTooManyUncles
   179  	}
   180  	// Gather the set of past uncles and ancestors
   181  	uncles, ancestors := set.New(), make(map[common.Hash]*types.Header)
   182  
   183  	number, parent := block.NumberU64()-1, block.ParentHash()
   184  	for i := 0; i < 7; i++ {
   185  		ancestor := chain.GetBlock(parent, number)
   186  		if ancestor == nil {
   187  			break
   188  		}
   189  		ancestors[ancestor.Hash()] = ancestor.Header()
   190  		for _, uncle := range ancestor.Uncles() {
   191  			uncles.Add(uncle.Hash())
   192  		}
   193  		parent, number = ancestor.ParentHash(), number-1
   194  	}
   195  	ancestors[block.Hash()] = block.Header()
   196  	uncles.Add(block.Hash())
   197  
   198  	// Verify each of the uncles that it's recent, but not an ancestor
   199  	for _, uncle := range block.Uncles() {
   200  		// Make sure every uncle is rewarded only once
   201  		hash := uncle.Hash()
   202  		if uncles.Has(hash) {
   203  			return errDuplicateUncle
   204  		}
   205  		uncles.Add(hash)
   206  
   207  		// Make sure the uncle has a valid ancestry
   208  		if ancestors[hash] != nil {
   209  			return errUncleIsAncestor
   210  		}
   211  		if ancestors[uncle.ParentHash] == nil || uncle.ParentHash == block.ParentHash() {
   212  			return errDanglingUncle
   213  		}
   214  		if err := ethash.verifyHeader(chain, uncle, ancestors[uncle.ParentHash], true, true); err != nil {
   215  			return err
   216  		}
   217  	}
   218  	return nil
   219  }
   220  
   221  // verifyHeader checks whether a header conforms to the consensus rules of the
   222  // stock Ethereum ethash engine.
   223  // See YP section 4.3.4. "Block Header Validity"
   224  func (ethash *Ethash) verifyHeader(chain consensus.ChainReader, header, parent *types.Header, uncle bool, seal bool) error {
   225  	// Ensure that the header's extra-data section is of a reasonable size
   226  	if uint64(len(header.Extra)) > params.MaximumExtraDataSize {
   227  		return fmt.Errorf("extra-data too long: %d > %d", len(header.Extra), params.MaximumExtraDataSize)
   228  	}
   229  	// Verify the header's timestamp
   230  	if uncle {
   231  		if header.Time.Cmp(math.MaxBig256) > 0 {
   232  			return errLargeBlockTime
   233  		}
   234  	} else {
   235  		if header.Time.Cmp(big.NewInt(time.Now().Add(allowedFutureBlockTime).Unix())) > 0 {
   236  			return consensus.ErrFutureBlock
   237  		}
   238  	}
   239  	if header.Time.Cmp(parent.Time) <= 0 {
   240  		return errZeroBlockTime
   241  	}
   242  	// Verify the block's difficulty based in it's timestamp and parent's difficulty
   243  	expected := ethash.CalcDifficulty(chain, header.Time.Uint64(), parent)
   244  
   245  	if expected.Cmp(header.Difficulty) != 0 {
   246  		return fmt.Errorf("invalid difficulty: have %v, want %v", header.Difficulty, expected)
   247  	}
   248  	// Verify that the gas limit is <= 2^63-1
   249  	cap := uint64(0x7fffffffffffffff)
   250  	if header.GasLimit > cap {
   251  		return fmt.Errorf("invalid gasLimit: have %v, max %v", header.GasLimit, cap)
   252  	}
   253  	// Verify that the gasUsed is <= gasLimit
   254  	if header.GasUsed > header.GasLimit {
   255  		return fmt.Errorf("invalid gasUsed: have %d, gasLimit %d", header.GasUsed, header.GasLimit)
   256  	}
   257  
   258  	// Verify that the gas limit remains within allowed bounds
   259  	diff := int64(parent.GasLimit) - int64(header.GasLimit)
   260  	if diff < 0 {
   261  		diff *= -1
   262  	}
   263  	limit := parent.GasLimit / params.GasLimitBoundDivisor
   264  
   265  	if uint64(diff) >= limit || header.GasLimit < params.MinGasLimit {
   266  		return fmt.Errorf("invalid gas limit: have %d, want %d += %d", header.GasLimit, parent.GasLimit, limit)
   267  	}
   268  	// Verify that the block number is parent's +1
   269  	if diff := new(big.Int).Sub(header.Number, parent.Number); diff.Cmp(big.NewInt(1)) != 0 {
   270  		return consensus.ErrInvalidNumber
   271  	}
   272  	// Verify the engine specific seal securing the block
   273  	if seal {
   274  		if err := ethash.VerifySeal(chain, header); err != nil {
   275  			return err
   276  		}
   277  	}
   278  	// If all checks passed, validate any special fields for hard forks
   279  	if err := misc.VerifyDAOHeaderExtraData(chain.Config(), header); err != nil {
   280  		return err
   281  	}
   282  	if err := misc.VerifyForkHashes(chain.Config(), header, uncle); err != nil {
   283  		return err
   284  	}
   285  	return nil
   286  }
   287  
   288  // CalcDifficulty is the difficulty adjustment algorithm. It returns
   289  // the difficulty that a new block should have when created at time
   290  // given the parent block's time and difficulty.
   291  func (ethash *Ethash) CalcDifficulty(chain consensus.ChainReader, time uint64, parent *types.Header) *big.Int {
   292  	return CalcDifficulty(chain.Config(), time, parent)
   293  }
   294  
   295  // CalcDifficulty is the difficulty adjustment algorithm. It returns
   296  // the difficulty that a new block should have when created at time
   297  // given the parent block's time and difficulty.
   298  func CalcDifficulty(config *params.ChainConfig, time uint64, parent *types.Header) *big.Int {
   299  	logger := log.New("CalcDifficulty block", parent.Number)
   300  	next := new(big.Int).Add(parent.Number, big1)
   301  	switch {
   302  	case config.IsByzantium(next):
   303  		logger.Info("config.IsByzantium")
   304  		return calcDifficultyByzantium(time, parent)
   305  	case config.IsHomestead(next):
   306  		logger.Info("config.IsHomestead")
   307  		return calcDifficultyHomestead(time, parent)
   308  	default:
   309  		logger.Info("config.IsHomestead")
   310  		return calcDifficultyFrontier(time, parent)
   311  	}
   312  }
   313  
   314  // Some weird constants to avoid constant memory allocs for them.
   315  var (
   316  	expDiffPeriod = big.NewInt(100000)
   317  	big1          = big.NewInt(1)
   318  	big2          = big.NewInt(2)
   319  	big9          = big.NewInt(9)
   320  	big10         = big.NewInt(10)
   321  	bigMinus99    = big.NewInt(-99)
   322  	big2999999    = big.NewInt(2999999)
   323  )
   324  
   325  // calcDifficultyByzantium is the difficulty adjustment algorithm. It returns
   326  // the difficulty that a new block should have when created at time given the
   327  // parent block's time and difficulty. The calculation uses the Byzantium rules.
   328  func calcDifficultyByzantium(time uint64, parent *types.Header) *big.Int {
   329  	// https://github.com/ethereum/EIPs/issues/100.
   330  	// algorithm:
   331  	// diff = (parent_diff +
   332  	//         (parent_diff / 2048 * max((2 if len(parent.uncles) else 1) - ((timestamp - parent.timestamp) // 9), -99))
   333  	//        ) + 2^(periodCount - 2)
   334  	bigTime := new(big.Int).SetUint64(time)
   335  	bigParentTime := new(big.Int).Set(parent.Time)
   336  
   337  	// holds intermediate values to make the algo easier to read & audit
   338  	x := new(big.Int)
   339  	y := new(big.Int)
   340  	// (2 if len(parent_uncles) else 1) - (block_timestamp - parent_timestamp) // 9
   341  	x.Sub(bigTime, bigParentTime)
   342  	z := new(big.Int).Set(x)
   343  	x.Div(x, params.DurationLimit)
   344  	if parent.UncleHash == types.EmptyUncleHash {
   345  		x.Sub(big1, x)
   346  	} else {
   347  		x.Sub(big2, x)
   348  	}
   349  	// max((2 if len(parent_uncles) else 1) - (block_timestamp - parent_timestamp) // 9, -99)
   350  	if x.Cmp(bigMinus99) < 0 {
   351  		x.Set(bigMinus99)
   352  	}
   353  	// parent_diff + (parent_diff / 2048 * max((2 if len(parent.uncles) else 1) - ((timestamp - parent.timestamp) // 9), -99))
   354  	y.Div(parent.Difficulty, params.DifficultyBoundDivisor)
   355  	if y.Sign() ==0 {
   356  		y = big1
   357  	}
   358  	x.Mul(y, x)
   359  	x.Add(parent.Difficulty, x)
   360  	// minimum difficulty can ever be (before exponential factor)
   361  	if x.Cmp(params.MinimumDifficulty) < 0 {
   362  		x.Set(params.MinimumDifficulty)
   363  	}
   364  
   365  	log.Info("CalcDifficulty","blockNumber",parent.Number,"time",z,"diff",x)
   366  	return x
   367  }
   368  
   369  // calcDifficultyHomestead is the difficulty adjustment algorithm. It returns
   370  // the difficulty that a new block should have when created at time given the
   371  // parent block's time and difficulty. The calculation uses the Homestead rules.
   372  func calcDifficultyHomestead(time uint64, parent *types.Header) *big.Int {
   373  	// https://github.com/ethereum/EIPs/blob/master/EIPS/eip-2.md
   374  	// algorithm:
   375  	// diff = (parent_diff +
   376  	//         (parent_diff / 2048 * max(1 - (block_timestamp - parent_timestamp) // 10, -99))
   377  	//        ) + 2^(periodCount - 2)
   378  
   379  	bigTime := new(big.Int).SetUint64(time)
   380  	bigParentTime := new(big.Int).Set(parent.Time)
   381  
   382  	// holds intermediate values to make the algo easier to read & audit
   383  	x := new(big.Int)
   384  	y := new(big.Int)
   385  
   386  	// 1 - (block_timestamp - parent_timestamp) // 10
   387  	x.Sub(bigTime, bigParentTime)
   388  	x.Div(x, big10)
   389  	x.Sub(big1, x)
   390  
   391  	// max(1 - (block_timestamp - parent_timestamp) // 10, -99)
   392  	if x.Cmp(bigMinus99) < 0 {
   393  		x.Set(bigMinus99)
   394  	}
   395  	// (parent_diff + parent_diff // 2048 * max(1 - (block_timestamp - parent_timestamp) // 10, -99))
   396  	y.Div(parent.Difficulty, params.DifficultyBoundDivisor)
   397  	x.Mul(y, x)
   398  	x.Add(parent.Difficulty, x)
   399  
   400  	// minimum difficulty can ever be (before exponential factor)
   401  	if x.Cmp(params.MinimumDifficulty) < 0 {
   402  		x.Set(params.MinimumDifficulty)
   403  	}
   404  	// for the exponential factor
   405  	periodCount := new(big.Int).Add(parent.Number, big1)
   406  	periodCount.Div(periodCount, expDiffPeriod)
   407  
   408  	// the exponential factor, commonly referred to as "the bomb"
   409  	// diff = diff + 2^(periodCount - 2)
   410  	if periodCount.Cmp(big1) > 0 {
   411  		y.Sub(periodCount, big2)
   412  		y.Exp(big2, y, nil)
   413  		x.Add(x, y)
   414  	}
   415  	return x
   416  }
   417  
   418  // calcDifficultyFrontier is the difficulty adjustment algorithm. It returns the
   419  // difficulty that a new block should have when created at time given the parent
   420  // block's time and difficulty. The calculation uses the Frontier rules.
   421  func calcDifficultyFrontier(time uint64, parent *types.Header) *big.Int {
   422  	diff := new(big.Int)
   423  	adjust := new(big.Int).Div(parent.Difficulty, params.DifficultyBoundDivisor)
   424  	bigTime := new(big.Int)
   425  	bigParentTime := new(big.Int)
   426  
   427  	bigTime.SetUint64(time)
   428  	bigParentTime.Set(parent.Time)
   429  
   430  	if bigTime.Sub(bigTime, bigParentTime).Cmp(params.DurationLimit) < 0 {
   431  		diff.Add(parent.Difficulty, adjust)
   432  	} else {
   433  		diff.Sub(parent.Difficulty, adjust)
   434  	}
   435  	if diff.Cmp(params.MinimumDifficulty) < 0 {
   436  		diff.Set(params.MinimumDifficulty)
   437  	}
   438  
   439  	periodCount := new(big.Int).Add(parent.Number, big1)
   440  	periodCount.Div(periodCount, expDiffPeriod)
   441  	if periodCount.Cmp(big1) > 0 {
   442  		// diff = diff + 2^(periodCount - 2)
   443  		expDiff := periodCount.Sub(periodCount, big2)
   444  		expDiff.Exp(big2, expDiff, nil)
   445  		diff.Add(diff, expDiff)
   446  		diff = math.BigMax(diff, params.MinimumDifficulty)
   447  	}
   448  	return diff
   449  }
   450  
   451  // VerifySeal implements consensus.Engine, checking whether the given block satisfies
   452  // the PoW difficulty requirements.
   453  func (ethash *Ethash) VerifySeal(chain consensus.ChainReader, header *types.Header) error {
   454  	// If we're running a fake PoW, accept any seal as valid
   455  	if ethash.config.PowMode == ModeFake || ethash.config.PowMode == ModeFullFake {
   456  		time.Sleep(ethash.fakeDelay)
   457  		if ethash.fakeFail == header.Number.Uint64() {
   458  			return errInvalidPoW
   459  		}
   460  		return nil
   461  	}
   462  	// If we're running a shared PoW, delegate verification to it
   463  	if ethash.shared != nil {
   464  		return ethash.shared.VerifySeal(chain, header)
   465  	}
   466  	// Ensure that we have a valid difficulty for the block
   467  	if header.Difficulty.Sign() <= 0 {
   468  		return errInvalidDifficulty
   469  	}
   470  	// Recompute the digest and PoW value and verify against the header
   471  //	number := header.Number.Uint64()
   472  
   473  //	cache := ethash.cache(number)
   474  //	size := datasetSize(number)
   475  //	if ethash.config.PowMode == ModeTest {
   476  //		size = 32 * 1024
   477  //	}
   478  	digest, result := hashimotoLight(32, nil, header.HashNoNonce().Bytes(), header.Nonce.Uint64())
   479  	// Caches are unmapped in a finalizer. Ensure that the cache stays live
   480  	// until after the call to hashimotoLight so it's not unmapped while being used.
   481  //	runtime.KeepAlive(cache)
   482  
   483  	if !bytes.Equal(header.MixDigest[:], digest) {
   484  		return errInvalidMixDigest
   485  	}
   486  	target := new(big.Int).Div(maxUint256, header.Difficulty)
   487  	if new(big.Int).SetBytes(result).Cmp(target) > 0 {
   488  		return errInvalidPoW
   489  	}
   490  	return nil
   491  }
   492  
   493  // Prepare implements consensus.Engine, initializing the difficulty field of a
   494  // header to conform to the ethash protocol. The changes are done inline.
   495  func (ethash *Ethash) Prepare(chain consensus.ChainReader, header *types.Header) error {
   496  	parent := chain.GetHeader(header.ParentHash, header.Number.Uint64()-1)
   497  	if parent == nil {
   498  		return consensus.ErrUnknownAncestor
   499  	}
   500  	header.Difficulty = ethash.CalcDifficulty(chain, header.Time.Uint64(), parent)
   501  	return nil
   502  }
   503  
   504  // Finalize implements consensus.Engine, accumulating the block and uncle rewards,
   505  // setting the final state and assembling the block.
   506  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) {
   507  	// Accumulate any block and uncle rewards and commit the final state root
   508  	accumulateRewards(chain.Config(), state, header, uncles)
   509  	header.Root = state.IntermediateRoot(chain.Config().IsEIP158(header.Number))
   510  	// Header seems complete, assemble into a block and return
   511  	return types.NewBlock(header, txs, uncles, receipts), nil
   512  }
   513  
   514  // Some weird constants to avoid constant memory allocs for them.
   515  var (
   516  	big8  = big.NewInt(8)
   517  	big32 = big.NewInt(32)
   518  )
   519  
   520  // AccumulateRewards credits the coinbase of the given block with the mining
   521  // reward. The total reward consists of the static block reward and rewards for
   522  // included uncles. The coinbase of each uncle block is also rewarded.
   523  func accumulateRewards(config *params.ChainConfig, state *state.StateDB, header *types.Header, uncles []*types.Header) {
   524  	// Select the correct block reward based on chain progression
   525  	blockReward := FrontierBlockReward
   526  	if config.IsByzantium(header.Number) {
   527  		blockReward = ByzantiumBlockReward
   528  	}
   529  	// Accumulate the rewards for the miner and any included uncles
   530  	reward := new(big.Int).Set(blockReward)
   531  	r := new(big.Int)
   532  	for _, uncle := range uncles {
   533  		r.Add(uncle.Number, big8)
   534  		r.Sub(r, header.Number)
   535  		r.Mul(r, blockReward)
   536  		r.Div(r, big8)
   537  		state.AddBalance(uncle.Coinbase, r)
   538  
   539  		r.Div(blockReward, big32)
   540  		reward.Add(reward, r)
   541  	}
   542  	state.AddBalance(header.Coinbase, reward)
   543  }