ethereum.forks.berlin.fork

Ethereum Specification.

.. contents:: Table of Contents :backlinks: none :local:

Introduction

Entry point for the Ethereum specification.

BLOCK_REWARD

67
BLOCK_REWARD = U256(2 * 10**18)

MINIMUM_DIFFICULTY

68
MINIMUM_DIFFICULTY = Uint(131072)

MAX_OMMER_DEPTH

69
MAX_OMMER_DEPTH = Uint(6)

BOMB_DELAY_BLOCKS

70
BOMB_DELAY_BLOCKS = 9000000

EMPTY_OMMER_HASH

71
EMPTY_OMMER_HASH = keccak256(rlp.encode([]))

BlockChain

History and current state of the block chain.

74
@final
75
@dataclass
class BlockChain:

blocks

81
    blocks: List[Block]

state

82
    state: State

chain_id

83
    chain_id: U64

apply_fork

Transforms the state from the previous hard fork (old) into the block chain object for this hard fork and returns it.

When forks need to implement an irregular state transition, this function is used to handle the irregularity. See the :ref:DAO Fork <dao-fork> for an example.

Parameters

old : Previous block chain object.

Returns

new : BlockChain Upgraded block chain object for this hard fork.

def apply_fork(old: BlockChain) -> BlockChain:
87
    <snip>
106
    return old

get_last_256_block_hashes

Obtain the list of hashes of the previous 256 blocks in order of increasing block number.

This function will return less hashes for the first 256 blocks.

The BLOCKHASH opcode needs to access the latest hashes on the chain, therefore this function retrieves them.

Parameters

chain : History and current state.

Returns

recent_block_hashes : List[Hash32] Hashes of the recent 256 blocks in order of increasing block number.

def get_last_256_block_hashes(chain: BlockChain) -> List[Hash32]:
110
    <snip>
130
    recent_blocks = chain.blocks[-255:]
131
    # TODO: This function has not been tested rigorously
132
    if len(recent_blocks) == 0:
133
        return []
134
135
    recent_block_hashes = []
136
137
    for block in recent_blocks:
138
        prev_block_hash = block.header.parent_hash
139
        recent_block_hashes.append(prev_block_hash)
140
141
    # We are computing the hash only for the most recent block and not for
142
    # the rest of the blocks as they have successors which have the hash of
143
    # the current block as parent hash.
144
    most_recent_block_hash = keccak256(rlp.encode(recent_blocks[-1].header))
145
    recent_block_hashes.append(most_recent_block_hash)
146
147
    return recent_block_hashes

state_transition

Attempts to apply a block to an existing block chain.

All parts of the block's contents need to be verified before being added to the chain. Blocks are verified by ensuring that the contents of the block make logical sense with the contents of the parent block. The information in the block's header must also match the corresponding information in the block.

To implement Ethereum, in theory clients are only required to store the most recent 255 blocks of the chain since as far as execution is concerned, only those blocks are accessed. Practically, however, clients should store more blocks to handle reorgs.

Parameters

chain : History and current state. block : Block to apply to chain.

def state_transition(chain: BlockChain, ​​block: Block) -> None:
151
    <snip>
173
    validate_header(chain, block.header)
174
    validate_ommers(block.ommers, block.header, chain)
175
176
    block_state = BlockState(pre_state=chain.state)
177
178
    block_env = vm.BlockEnvironment(
179
        chain_id=chain.chain_id,
180
        state=block_state,
181
        block_gas_limit=block.header.gas_limit,
182
        block_hashes=get_last_256_block_hashes(chain),
183
        coinbase=block.header.coinbase,
184
        number=block.header.number,
185
        time=block.header.timestamp,
186
        difficulty=block.header.difficulty,
187
    )
188
189
    block_output = apply_body(
190
        block_env=block_env,
191
        transactions=block.transactions,
192
        ommers=block.ommers,
193
    )
194
    block_diff = extract_block_diff(block_state)
195
    block_state_root = chain.state.compute_state_root(block_diff)
196
    transactions_root = root(block_output.transactions_trie)
197
    receipt_root = root(block_output.receipts_trie)
198
    block_logs_bloom = logs_bloom(block_output.block_logs)
199
200
    if block_output.block_gas_used != block.header.gas_used:
201
        raise InvalidBlock(
202
            f"{block_output.block_gas_used} != {block.header.gas_used}"
203
        )
204
    if transactions_root != block.header.transactions_root:
205
        raise InvalidBlock
206
    if block_state_root != block.header.state_root:
207
        raise InvalidBlock
208
    if receipt_root != block.header.receipt_root:
209
        raise InvalidBlock
210
    if block_logs_bloom != block.header.bloom:
211
        raise InvalidBlock
212
213
    apply_changes_to_state(chain.state, block_diff)
214
    chain.blocks.append(block)
215
    if len(chain.blocks) > 255:
216
        # Real clients have to store more blocks to deal with reorgs, but the
217
        # protocol only requires the last 255
218
        chain.blocks = chain.blocks[-255:]

validate_header

Verifies a block header.

In order to consider a block's header valid, the logic for the quantities in the header should match the logic for the block itself. For example the header timestamp should be greater than the block's parent timestamp because the block was created after the parent block. Additionally, the block's number should be directly following the parent block's number since it is the next block in the sequence.

Parameters

chain : History and current state. header : Header to check for correctness.

def validate_header(chain: BlockChain, ​​header: Header) -> None:
222
    <snip>
240
    if header.number < Uint(1):
241
        raise InvalidBlock
242
    parent_header_number = header.number - Uint(1)
243
    first_block_number = chain.blocks[0].header.number
244
    last_block_number = chain.blocks[-1].header.number
245
246
    if (
247
        parent_header_number < first_block_number
248
        or parent_header_number > last_block_number
249
    ):
250
        raise InvalidBlock
251
252
    parent_header = chain.blocks[
253
        parent_header_number - first_block_number
254
    ].header
255
256
    if header.gas_used > header.gas_limit:
257
        raise InvalidBlock
258
259
    parent_has_ommers = parent_header.ommers_hash != EMPTY_OMMER_HASH
260
    if header.timestamp <= parent_header.timestamp:
261
        raise InvalidBlock
262
    if header.number != parent_header.number + Uint(1):
263
        raise InvalidBlock
264
    if not check_gas_limit(header.gas_limit, parent_header.gas_limit):
265
        raise InvalidBlock
266
    if len(header.extra_data) > 32:
267
        raise InvalidBlock
268
269
    block_difficulty = calculate_block_difficulty(
270
        header.number,
271
        header.timestamp,
272
        parent_header.timestamp,
273
        parent_header.difficulty,
274
        parent_has_ommers,
275
    )
276
    if header.difficulty != block_difficulty:
277
        raise InvalidBlock
278
279
    block_parent_hash = keccak256(rlp.encode(parent_header))
280
    if header.parent_hash != block_parent_hash:
281
        raise InvalidBlock
282
283
    validate_proof_of_work(header)

generate_header_hash_for_pow

Generate rlp hash of the header which is to be used for Proof-of-Work verification.

In other words, the PoW artefacts mix_digest and nonce are ignored while calculating this hash.

A particular PoW is valid for a single hash, that hash is computed by this function. The nonce and mix_digest are omitted from this hash because they are being changed by miners in their search for a sufficient proof-of-work.

Parameters

header : The header object for which the hash is to be generated.

Returns

hash : Hash32 The PoW valid rlp hash of the passed in header.

def generate_header_hash_for_pow(header: Header) -> Hash32:
287
    <snip>
310
    header_data_without_pow_artefacts = (
311
        header.parent_hash,
312
        header.ommers_hash,
313
        header.coinbase,
314
        header.state_root,
315
        header.transactions_root,
316
        header.receipt_root,
317
        header.bloom,
318
        header.difficulty,
319
        header.number,
320
        header.gas_limit,
321
        header.gas_used,
322
        header.timestamp,
323
        header.extra_data,
324
    )
325
326
    return keccak256(rlp.encode(header_data_without_pow_artefacts))

validate_proof_of_work

Validates the Proof of Work constraints.

In order to verify that a miner's proof-of-work is valid for a block, a mix-digest and result are calculated using the hashimoto_light hash function. The mix digest is a hash of the header and the nonce that is passed through and it confirms whether or not proof-of-work was done on the correct block. The result is the actual hash value of the block.

Parameters

header : Header of interest.

def validate_proof_of_work(header: Header) -> None:
330
    <snip>
345
    header_hash = generate_header_hash_for_pow(header)
346
    # TODO: Memoize this somewhere and read from that data instead of
347
    # calculating cache for every block validation.
348
    cache = generate_cache(header.number)
349
    mix_digest, result = hashimoto_light(
350
        header_hash, header.nonce, cache, dataset_size(header.number)
351
    )
352
    if mix_digest != header.mix_digest:
353
        raise InvalidBlock
354
355
    limit = Uint(U256.MAX_VALUE) + Uint(1)
356
    if Uint.from_be_bytes(result) > (limit // header.difficulty):
357
        raise InvalidBlock

check_transaction

Check if the transaction is includable in the block.

Parameters

block_env : The block scoped environment. block_output : The block output for the current block. tx : The transaction. tx_state : The transaction state tracker.

Returns

sender_address : The sender of the transaction.

Raises

GasUsedExceedsLimitError : If the gas used by the transaction exceeds the block's gas limit. NonceMismatchError : If the nonce of the transaction is not equal to the sender's nonce. InsufficientBalanceError : If the sender's balance is not enough to pay for the transaction. InvalidSenderError : If the transaction is from an address that does not exist anymore.

def check_transaction(block_env: ethereum.forks.berlin.vm.BlockEnvironment, ​​block_output: ethereum.forks.berlin.vm.BlockOutput, ​​tx: Transaction, ​​tx_state: TransactionState) -> Address:
366
    <snip>
397
    gas_available = block_env.block_gas_limit - block_output.block_gas_used
398
    if tx.gas > gas_available:
399
        raise GasUsedExceedsLimitError("gas used exceeds limit")
400
    tx_chain_id = chain_id(tx)
401
    if tx_chain_id is not None and tx_chain_id != block_env.chain_id:
402
        raise WrongChainIdError(
403
            expected=block_env.chain_id,
404
            actual=tx_chain_id,
405
        )
406
407
    sender_address = recover_sender(tx)
408
    sender_account = get_account(tx_state, sender_address)
409
410
    max_gas_fee = tx.gas * tx.gas_price
411
412
    if sender_account.nonce > Uint(tx.nonce):
413
        raise NonceMismatchError("nonce too low")
414
    elif sender_account.nonce < Uint(tx.nonce):
415
        raise NonceMismatchError("nonce too high")
416
    if Uint(sender_account.balance) < max_gas_fee + Uint(tx.value):
417
        raise InsufficientBalanceError("insufficient sender balance")
418
    if sender_account.code_hash != EMPTY_CODE_HASH:
419
        raise InvalidSenderError("not EOA")
420
421
    return sender_address

make_receipt

Make the receipt for a transaction that was executed.

Parameters

tx : The executed transaction. error : Error in the top level frame of the transaction, if any. cumulative_gas_used : The total gas used so far in the block after the transaction was executed. logs : The logs produced by the transaction.

Returns

receipt : The receipt for the transaction.

def make_receipt(tx: Transaction, ​​error: Optional[EthereumException], ​​cumulative_gas_used: Uint, ​​logs: Tuple[Log, ...]) -> Bytes | Receipt:
430
    <snip>
451
    receipt = Receipt(
452
        succeeded=error is None,
453
        cumulative_gas_used=cumulative_gas_used,
454
        bloom=logs_bloom(logs),
455
        logs=logs,
456
    )
457
458
    return encode_receipt(tx, receipt)

apply_body

Executes a block.

Many of the contents of a block are stored in data structures called tries. There is a transactions trie which is similar to a ledger of the transactions stored in the current block. There is also a receipts trie which stores the results of executing a transaction, like the post state and gas used. This function creates and executes the block that is to be added to the chain.

Parameters

block_env : The block scoped environment. transactions : Transactions included in the block. ommers : Headers of ancestor blocks which are not direct parents (formerly uncles.)

Returns

block_output : The block output for the current block.

def apply_body(block_env: ethereum.forks.berlin.vm.BlockEnvironment, ​​transactions: Tuple[LegacyTransaction | Bytes, ...], ​​ommers: Tuple[Header, ...]) -> ethereum.forks.berlin.vm.BlockOutput:
466
    <snip>
492
    block_output = vm.BlockOutput()
493
494
    for i, tx in enumerate(map(decode_transaction, transactions)):
495
        process_transaction(block_env, block_output, tx, Uint(i))
496
497
    pay_rewards(block_env, ommers)
498
499
    return block_output

validate_ommers

Validates the ommers mentioned in the block.

An ommer block is a block that wasn't canonically added to the blockchain because it wasn't validated as fast as the canonical block but was mined at the same time.

To be considered valid, the ommers must adhere to the rules defined in the Ethereum protocol. The maximum amount of ommers is 2 per block and there cannot be duplicate ommers in a block. Many of the other ommer constraints are listed in the in-line comments of this function.

Parameters

ommers : List of ommers mentioned in the current block. block_header: The header of current block. chain : History and current state.

def validate_ommers(ommers: Tuple[Header, ...], ​​block_header: Header, ​​chain: BlockChain) -> None:
505
    <snip>
527
    block_hash = keccak256(rlp.encode(block_header))
528
    if keccak256(rlp.encode(ommers)) != block_header.ommers_hash:
529
        raise InvalidBlock
530
531
    if len(ommers) == 0:
532
        # Nothing to validate
533
        return
534
535
    # Check that each ommer satisfies the constraints of a header
536
    for ommer in ommers:
537
        if Uint(1) > ommer.number or ommer.number >= block_header.number:
538
            raise InvalidBlock
539
        validate_header(chain, ommer)
540
    if len(ommers) > 2:
541
        raise InvalidBlock
542
543
    ommers_hashes = [keccak256(rlp.encode(ommer)) for ommer in ommers]
544
    if len(ommers_hashes) != len(set(ommers_hashes)):
545
        raise InvalidBlock
546
547
    recent_canonical_blocks = chain.blocks[-(MAX_OMMER_DEPTH + Uint(1)) :]
548
    recent_canonical_block_hashes = {
549
        keccak256(rlp.encode(block.header))
550
        for block in recent_canonical_blocks
551
    }
552
    recent_ommers_hashes: Set[Hash32] = set()
553
    for block in recent_canonical_blocks:
554
        recent_ommers_hashes = recent_ommers_hashes.union(
555
            {keccak256(rlp.encode(ommer)) for ommer in block.ommers}
556
        )
557
558
    for ommer_index, ommer in enumerate(ommers):
559
        ommer_hash = ommers_hashes[ommer_index]
560
        if ommer_hash == block_hash:
561
            raise InvalidBlock
562
        if ommer_hash in recent_canonical_block_hashes:
563
            raise InvalidBlock
564
        if ommer_hash in recent_ommers_hashes:
565
            raise InvalidBlock
566
567
        # Ommer age with respect to the current block. For example, an age of
568
        # 1 indicates that the ommer is a sibling of previous block.
569
        ommer_age = block_header.number - ommer.number
570
        if Uint(1) > ommer_age or ommer_age > MAX_OMMER_DEPTH:
571
            raise InvalidBlock
572
        if ommer.parent_hash not in recent_canonical_block_hashes:
573
            raise InvalidBlock
574
        if ommer.parent_hash == block_header.parent_hash:
575
            raise InvalidBlock

pay_rewards

Pay rewards to the block miner as well as the ommers miners.

The miner of the canonical block is rewarded with the predetermined block reward, BLOCK_REWARD, plus a variable award based off of the number of ommer blocks that were mined around the same time, and included in the canonical block's header. An ommer block is a block that wasn't added to the canonical blockchain because it wasn't validated as fast as the accepted block but was mined at the same time. Although not all blocks that are mined are added to the canonical chain, miners are still paid a reward for their efforts. This reward is called an ommer reward and is calculated based on the number associated with the ommer block that they mined.

Parameters

block_env : The block scoped environment. ommers : List of ommers mentioned in the current block.

def pay_rewards(block_env: ethereum.forks.berlin.vm.BlockEnvironment, ​​ommers: Tuple[Header, ...]) -> None:
582
    <snip>
604
    rewards_state = TransactionState(parent=block_env.state)
605
    ommer_count = U256(len(ommers))
606
    miner_reward = BLOCK_REWARD + (ommer_count * (BLOCK_REWARD // U256(32)))
607
    create_ether(rewards_state, block_env.coinbase, miner_reward)
608
609
    for ommer in ommers:
610
        # Ommer age with respect to the current block.
611
        ommer_age = U256(block_env.number - ommer.number)
612
        ommer_miner_reward = ((U256(8) - ommer_age) * BLOCK_REWARD) // U256(8)
613
        create_ether(rewards_state, ommer.coinbase, ommer_miner_reward)
614
615
    incorporate_tx_into_block(rewards_state)

process_transaction

Execute a transaction against the provided environment.

This function processes the actions needed to execute a transaction. It decrements the sender's account balance after calculating the gas fee and refunds them the proper amount after execution. Calling contracts, deploying code, and incrementing nonces are all examples of actions that happen within this function or from a call made within this function.

Accounts that are marked for deletion are processed and destroyed after execution.

Parameters

block_env : Environment for the Ethereum Virtual Machine. block_output : The block output for the current block. tx : Transaction to execute. index: Index of the transaction in the block.

def process_transaction(block_env: ethereum.forks.berlin.vm.BlockEnvironment, ​​block_output: ethereum.forks.berlin.vm.BlockOutput, ​​tx: Transaction, ​​index: Uint) -> None:
624
    <snip>
648
    tx_state = TransactionState(parent=block_env.state)
649
650
    trie_set(
651
        block_output.transactions_trie,
652
        rlp.encode(index),
653
        encode_transaction(tx),
654
    )
655
656
    intrinsic_gas = validate_transaction(tx)
657
658
    sender = check_transaction(
659
        block_env=block_env,
660
        block_output=block_output,
661
        tx=tx,
662
        tx_state=tx_state,
663
    )
664
665
    sender_account = get_account(tx_state, sender)
666
667
    gas = tx.gas - intrinsic_gas
668
    increment_nonce(tx_state, sender)
669
670
    gas_fee = tx.gas * tx.gas_price
671
    sender_balance_after_gas_fee = Uint(sender_account.balance) - gas_fee
672
    set_account_balance(tx_state, sender, U256(sender_balance_after_gas_fee))
673
674
    access_list_addresses = set()
675
    access_list_storage_keys = set()
676
    if isinstance(tx, AccessListTransaction):
677
        for access in tx.access_list:
678
            access_list_addresses.add(access.account)
679
            for slot in access.slots:
680
                access_list_storage_keys.add((access.account, slot))
681
682
    tx_env = vm.TransactionEnvironment(
683
        origin=sender,
684
        gas_price=tx.gas_price,
685
        gas=gas,
686
        access_list_addresses=access_list_addresses,
687
        access_list_storage_keys=access_list_storage_keys,
688
        state=tx_state,
689
        index_in_block=index,
690
        tx_hash=get_transaction_hash(encode_transaction(tx)),
691
    )
692
693
    message = prepare_message(block_env, tx_env, tx)
694
695
    tx_output = process_message_call(message)
696
697
    tx_gas_used_before_refund = tx.gas - tx_output.gas_left
698
    tx_gas_refund = min(
699
        tx_gas_used_before_refund // Uint(2), Uint(tx_output.refund_counter)
700
    )
701
    tx_gas_used_after_refund = tx_gas_used_before_refund - tx_gas_refund
702
    tx_gas_left = tx.gas - tx_gas_used_after_refund
703
    gas_refund_amount = tx_gas_left * tx.gas_price
704
705
    transaction_fee = tx_gas_used_after_refund * tx.gas_price
706
707
    # refund gas
708
    create_ether(tx_state, sender, U256(gas_refund_amount))
709
710
    # transfer miner fees
711
    coinbase_balance_after_mining_fee = get_account(
712
        tx_state, block_env.coinbase
713
    ).balance + U256(transaction_fee)
714
    if coinbase_balance_after_mining_fee != 0:
715
        set_account_balance(
716
            tx_state,
717
            block_env.coinbase,
718
            coinbase_balance_after_mining_fee,
719
        )
720
    elif account_exists_and_is_empty(tx_state, block_env.coinbase):
721
        destroy_account(tx_state, block_env.coinbase)
722
723
    for address in tx_output.accounts_to_delete:
724
        destroy_account(tx_state, address)
725
726
    destroy_touched_empty_accounts(tx_state, tx_output.touched_accounts)
727
728
    block_output.block_gas_used += tx_gas_used_after_refund
729
730
    receipt = make_receipt(
731
        tx, tx_output.error, block_output.block_gas_used, tx_output.logs
732
    )
733
734
    receipt_key = rlp.encode(Uint(index))
735
    block_output.receipt_keys += (receipt_key,)
736
737
    trie_set(
738
        block_output.receipts_trie,
739
        receipt_key,
740
        receipt,
741
    )
742
743
    block_output.block_logs += tx_output.logs
744
745
    incorporate_tx_into_block(tx_state)

check_gas_limit

Validates the gas limit for a block.

The bounds of the gas limit, max_adjustment_delta, is set as the quotient of the parent block's gas limit and the LIMIT_ADJUSTMENT_FACTOR. Therefore, if the gas limit that is passed through as a parameter is greater than or equal to the sum of the parent's gas and the adjustment delta then the limit for gas is too high and fails this function's check. Similarly, if the limit is less than or equal to the difference of the parent's gas and the adjustment delta or the predefined LIMIT_MINIMUM then this function's check fails because the gas limit doesn't allow for a sufficient or reasonable amount of gas to be used on a block.

Parameters

gas_limit : Gas limit to validate.

parent_gas_limit : Gas limit of the parent block.

Returns

check : bool True if gas limit constraints are satisfied, False otherwise.

def check_gas_limit(gas_limit: Uint, ​​parent_gas_limit: Uint) -> bool:
749
    <snip>
777
    max_adjustment_delta = parent_gas_limit // GasCosts.LIMIT_ADJUSTMENT_FACTOR
778
    if gas_limit >= parent_gas_limit + max_adjustment_delta:
779
        return False
780
    if gas_limit <= parent_gas_limit - max_adjustment_delta:
781
        return False
782
    if gas_limit < GasCosts.LIMIT_MINIMUM:
783
        return False
784
785
    return True

calculate_block_difficulty

Computes difficulty of a block using its header and parent header.

The difficulty is determined by the time the block was created after its parent. The offset is calculated using the parent block's difficulty, parent_difficulty, and the timestamp between blocks. This offset is then added to the parent difficulty and is stored as the difficulty variable. If the time between the block and its parent is too short, the offset will result in a positive number thus making the sum of parent_difficulty and offset to be a greater value in order to avoid mass forking. But, if the time is long enough, then the offset results in a negative value making the block less difficult than its parent.

The base standard for a block's difficulty is the predefined value set for the genesis block since it has no parent. So, a block can't be less difficult than the genesis block, therefore each block's difficulty is set to the maximum value between the calculated difficulty and the MINIMUM_DIFFICULTY.

Parameters

block_number : Block number of the block. block_timestamp : Timestamp of the block. parent_timestamp : Timestamp of the parent block. parent_difficulty : difficulty of the parent block. parent_has_ommers: does the parent have ommers.

Returns

difficulty : ethereum.base_types.Uint Computed difficulty for a block.

def calculate_block_difficulty(block_number: Uint, ​​block_timestamp: U256, ​​parent_timestamp: U256, ​​parent_difficulty: Uint, ​​parent_has_ommers: bool) -> Uint:
795
    <snip>
834
    offset = (
835
        int(parent_difficulty)
836
        // 2048
837
        * max(
838
            (2 if parent_has_ommers else 1)
839
            - int(block_timestamp - parent_timestamp) // 9,
840
            -99,
841
        )
842
    )
843
    difficulty = int(parent_difficulty) + offset
844
    # Historical Note: The difficulty bomb was not present in Ethereum at the
845
    # start of Frontier, but was added shortly after launch. However since the
846
    # bomb has no effect prior to block 200000 we pretend it existed from
847
    # genesis.
848
    # See https://github.com/ethereum/go-ethereum/pull/1588
849
    num_bomb_periods = ((int(block_number) - BOMB_DELAY_BLOCKS) // 100000) - 2
850
    if num_bomb_periods >= 0:
851
        difficulty += 2**num_bomb_periods
852
853
    # Some clients raise the difficulty to `MINIMUM_DIFFICULTY` prior to adding
854
    # the bomb. This bug does not matter because the difficulty is always much
855
    # greater than `MINIMUM_DIFFICULTY` on Mainnet.
856
    return Uint(max(difficulty, int(MINIMUM_DIFFICULTY)))