ethereum.forks.berlin.forkethereum.forks.london.fork

Ethereum Specification.

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

Introduction

Entry point for the Ethereum specification.

BLOCK_REWARD

77
BLOCK_REWARD = U256(2 * 10**18)

BASE_FEE_MAX_CHANGE_DENOMINATOR

78
BASE_FEE_MAX_CHANGE_DENOMINATOR = Uint(8)

ELASTICITY_MULTIPLIER

79
ELASTICITY_MULTIPLIER = Uint(2)

MINIMUM_DIFFICULTY

80
MINIMUM_DIFFICULTY = Uint(131072)

INITIAL_BASE_FEE

81
INITIAL_BASE_FEE = Uint(1000000000)

MAX_OMMER_DEPTH

82
MAX_OMMER_DEPTH = Uint(6)

BOMB_DELAY_BLOCKS

74
BOMB_DELAY_BLOCKS = 9000000
83
BOMB_DELAY_BLOCKS = 9700000

EMPTY_OMMER_HASH

84
EMPTY_OMMER_HASH = keccak256(rlp.encode([]))

BlockChain

History and current state of the block chain.

87
@final
88
@dataclass
class BlockChain:

blocks

94
    blocks: List[Block]

state

95
    state: State

chain_id

96
    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:
100
    <snip>
119
    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]:
123
    <snip>
143
    recent_blocks = chain.blocks[-255:]
144
    # TODO: This function has not been tested rigorously
145
    if len(recent_blocks) == 0:
146
        return []
147
148
    recent_block_hashes = []
149
150
    for block in recent_blocks:
151
        prev_block_hash = block.header.parent_hash
152
        recent_block_hashes.append(prev_block_hash)
153
154
    # We are computing the hash only for the most recent block and not for
155
    # the rest of the blocks as they have successors which have the hash of
156
    # the current block as parent hash.
157
    most_recent_block_hash = keccak256(rlp.encode(recent_blocks[-1].header))
158
    recent_block_hashes.append(most_recent_block_hash)
159
160
    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:
164
    <snip>
186
    validate_header(chain, block.header)
187
    validate_ommers(block.ommers, block.header, chain)
188
189
    block_state = BlockState(pre_state=chain.state)
190
191
    block_env = vm.BlockEnvironment(
192
        chain_id=chain.chain_id,
193
        state=block_state,
194
        block_gas_limit=block.header.gas_limit,
195
        block_hashes=get_last_256_block_hashes(chain),
196
        coinbase=block.header.coinbase,
197
        number=block.header.number,
198
        base_fee_per_gas=block.header.base_fee_per_gas,
199
        time=block.header.timestamp,
200
        difficulty=block.header.difficulty,
201
    )
202
203
    block_output = apply_body(
204
        block_env=block_env,
205
        transactions=block.transactions,
206
        ommers=block.ommers,
207
    )
208
    block_diff = extract_block_diff(block_state)
209
    block_state_root, _ = chain.state.compute_state_root_and_trie_changes(
210
        block_diff.account_changes,
211
        block_diff.storage_changes,
212
        block_diff.storage_clears,
213
    )
214
    transactions_root = root(block_output.transactions_trie)
215
    receipt_root = root(block_output.receipts_trie)
216
    block_logs_bloom = logs_bloom(block_output.block_logs)
217
218
    if block_output.block_gas_used != block.header.gas_used:
219
        raise InvalidBlock(
220
            f"{block_output.block_gas_used} != {block.header.gas_used}"
221
        )
222
    if transactions_root != block.header.transactions_root:
223
        raise InvalidBlock
224
    if block_state_root != block.header.state_root:
225
        raise InvalidBlock
226
    if receipt_root != block.header.receipt_root:
227
        raise InvalidBlock
228
    if block_logs_bloom != block.header.bloom:
229
        raise InvalidBlock
230
231
    apply_changes_to_state(chain.state, block_diff)
232
    chain.blocks.append(block)
233
    if len(chain.blocks) > 255:
234
        # Real clients have to store more blocks to deal with reorgs, but the
235
        # protocol only requires the last 255
236
        chain.blocks = chain.blocks[-255:]

calculate_base_fee_per_gas

Calculates the base fee per gas for the block.

Parameters

block_gas_limit : Gas limit of the block for which the base fee is being calculated. parent_gas_limit : Gas limit of the parent block. parent_gas_used : Gas used in the parent block. parent_base_fee_per_gas : Base fee per gas of the parent block.

Returns

base_fee_per_gas : Uint Base fee per gas for the block.

def calculate_base_fee_per_gas(block_gas_limit: Uint, ​​parent_gas_limit: Uint, ​​parent_gas_used: Uint, ​​parent_base_fee_per_gas: Uint) -> Uint:
245
    <snip>
265
    parent_gas_target = parent_gas_limit // ELASTICITY_MULTIPLIER
266
    if not check_gas_limit(block_gas_limit, parent_gas_limit):
267
        raise InvalidBlock
268
269
    if parent_gas_used == parent_gas_target:
270
        expected_base_fee_per_gas = parent_base_fee_per_gas
271
    elif parent_gas_used > parent_gas_target:
272
        gas_used_delta = parent_gas_used - parent_gas_target
273
274
        parent_fee_gas_delta = parent_base_fee_per_gas * gas_used_delta
275
        target_fee_gas_delta = parent_fee_gas_delta // parent_gas_target
276
277
        base_fee_per_gas_delta = max(
278
            target_fee_gas_delta // BASE_FEE_MAX_CHANGE_DENOMINATOR,
279
            Uint(1),
280
        )
281
282
        expected_base_fee_per_gas = (
283
            parent_base_fee_per_gas + base_fee_per_gas_delta
284
        )
285
    else:
286
        gas_used_delta = parent_gas_target - parent_gas_used
287
288
        parent_fee_gas_delta = parent_base_fee_per_gas * gas_used_delta
289
        target_fee_gas_delta = parent_fee_gas_delta // parent_gas_target
290
291
        base_fee_per_gas_delta = (
292
            target_fee_gas_delta // BASE_FEE_MAX_CHANGE_DENOMINATOR
293
        )
294
295
        expected_base_fee_per_gas = (
296
            parent_base_fee_per_gas - base_fee_per_gas_delta
297
        )
298
299
    return Uint(expected_base_fee_per_gas)

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:
303
    <snip>
321
    if header.number < Uint(1):
322
        raise InvalidBlock
323
    parent_header_number = header.number - Uint(1)
324
    first_block_number = chain.blocks[0].header.number
325
    last_block_number = chain.blocks[-1].header.number
326
327
    if (
328
        parent_header_number < first_block_number
329
        or parent_header_number > last_block_number
330
    ):
331
        raise InvalidBlock
332
333
    parent_header = chain.blocks[
334
        parent_header_number - first_block_number
335
    ].header
336
337
    if header.gas_used > header.gas_limit:
338
        raise InvalidBlock
339
340
    assert isinstance(, ByBlockNumber)
341
342
    expected_base_fee_per_gas = INITIAL_BASE_FEE
343
    if header.number != .block_number:
344
        # For every block except the first, calculate the base fee per gas
345
        # based on the parent block.
346
        expected_base_fee_per_gas = calculate_base_fee_per_gas(
347
            header.gas_limit,
348
            parent_header.gas_limit,
349
            parent_header.gas_used,
350
            parent_header.base_fee_per_gas,
351
        )
352
353
    if expected_base_fee_per_gas != header.base_fee_per_gas:
354
        raise InvalidBlock
355
356
    parent_has_ommers = parent_header.ommers_hash != EMPTY_OMMER_HASH
357
    if header.timestamp <= parent_header.timestamp:
358
        raise InvalidBlock
359
    if header.number != parent_header.number + Uint(1):
271
        raise InvalidBlock
272
    if not check_gas_limit(header.gas_limit, parent_header.gas_limit):
360
        raise InvalidBlock
361
    if len(header.extra_data) > 32:
362
        raise InvalidBlock
363
364
    block_difficulty = calculate_block_difficulty(
365
        header.number,
366
        header.timestamp,
367
        parent_header.timestamp,
368
        parent_header.difficulty,
369
        parent_has_ommers,
370
    )
371
    if header.difficulty != block_difficulty:
372
        raise InvalidBlock
373
374
    block_parent_hash = keccak256(rlp.encode(parent_header))
375
    if header.parent_hash != block_parent_hash:
376
        raise InvalidBlock
377
378
    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:
382
    <snip>
405
    header_data_without_pow_artefacts = (
406
        header.parent_hash,
407
        header.ommers_hash,
408
        header.coinbase,
409
        header.state_root,
410
        header.transactions_root,
411
        header.receipt_root,
412
        header.bloom,
413
        header.difficulty,
414
        header.number,
415
        header.gas_limit,
416
        header.gas_used,
417
        header.timestamp,
331
        header.extra_data,
418
        header.extra_data,
419
        header.base_fee_per_gas,
420
    )
421
422
    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:
426
    <snip>
441
    header_hash = generate_header_hash_for_pow(header)
442
    # TODO: Memoize this somewhere and read from that data instead of
443
    # calculating cache for every block validation.
444
    cache = generate_cache(header.number)
445
    mix_digest, result = hashimoto_light(
446
        header_hash, header.nonce, cache, dataset_size(header.number)
447
    )
448
    if mix_digest != header.mix_digest:
449
        raise InvalidBlock
450
451
    limit = Uint(U256.MAX_VALUE) + Uint(1)
452
    if Uint.from_be_bytes(result) > (limit // header.difficulty):
453
        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. effective_gas_price : The price to charge for gas when the transaction is executed.

Raises

InvalidBlock : If the transaction is not includable. 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. PriorityFeeGreaterThanMaxFeeError: If the priority fee is greater than the maximum fee per gas. InsufficientMaxFeePerGasError : If the maximum fee per gas is insufficient for the transaction.

def check_transaction(block_env: ethereum.forks.berlin.vm.BlockEnvironmentethereum.forks.london.vm.BlockEnvironment, ​​block_output: ethereum.forks.berlin.vm.BlockOutputethereum.forks.london.vm.BlockOutput, ​​tx: Transaction, ​​tx_state: TransactionState) -> AddressTuple[Address, Uint]:
462
    <snip>
501
    gas_available = block_env.block_gas_limit - block_output.block_gas_used
502
    if tx.gas > gas_available:
503
        raise GasUsedExceedsLimitError("gas used exceeds limit")
504
    tx_chain_id = chain_id(tx)
505
    if tx_chain_id is not None and tx_chain_id != block_env.chain_id:
506
        raise WrongChainIdError(
507
            expected=block_env.chain_id,
508
            actual=tx_chain_id,
509
        )
510
511
    sender_address = recover_sender(tx)
512
    sender_account = get_account(tx_state, sender_address)
513
418
    max_gas_fee = tx.gas * tx.gas_price
514
    if isinstance(tx, FeeMarketTransaction):
515
        if tx.max_fee_per_gas < tx.max_priority_fee_per_gas:
516
            raise PriorityFeeGreaterThanMaxFeeError(
517
                "priority fee greater than max fee"
518
            )
519
        if tx.max_fee_per_gas < block_env.base_fee_per_gas:
520
            raise InsufficientMaxFeePerGasError(
521
                tx.max_fee_per_gas, block_env.base_fee_per_gas
522
            )
523
524
        priority_fee_per_gas = min(
525
            tx.max_priority_fee_per_gas,
526
            tx.max_fee_per_gas - block_env.base_fee_per_gas,
527
        )
528
        effective_gas_price = priority_fee_per_gas + block_env.base_fee_per_gas
529
        max_gas_fee = tx.gas * tx.max_fee_per_gas
530
    else:
531
        if tx.gas_price < block_env.base_fee_per_gas:
532
            raise InvalidBlock
533
        effective_gas_price = tx.gas_price
534
        max_gas_fee = tx.gas * tx.gas_price
535
536
    if sender_account.nonce > Uint(tx.nonce):
537
        raise NonceMismatchError("nonce too low")
538
    elif sender_account.nonce < Uint(tx.nonce):
539
        raise NonceMismatchError("nonce too high")
540
    if Uint(sender_account.balance) < max_gas_fee + Uint(tx.value):
541
        raise InsufficientBalanceError("insufficient sender balance")
542
    if sender_account.code_hash != EMPTY_CODE_HASH:
543
        raise InvalidSenderError("not EOA")
544
429
    return sender_address
545
    return sender_address, effective_gas_price

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:
554
    <snip>
575
    receipt = Receipt(
576
        succeeded=error is None,
577
        cumulative_gas_used=cumulative_gas_used,
578
        bloom=logs_bloom(logs),
579
        logs=logs,
580
    )
581
582
    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.BlockEnvironmentethereum.forks.london.vm.BlockEnvironment, ​​transactions: Tuple[LegacyTransaction | Bytes, ...], ​​ommers: Tuple[Header, ...]) -> ethereum.forks.berlin.vm.BlockOutputethereum.forks.london.vm.BlockOutput:
590
    <snip>
616
    block_output = vm.BlockOutput()
617
618
    for i, tx in enumerate(map(decode_transaction, transactions)):
619
        process_transaction(block_env, block_output, tx, Uint(i))
620
621
    pay_rewards(block_env, ommers)
622
623
    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:
629
    <snip>
651
    block_hash = keccak256(rlp.encode(block_header))
652
    if keccak256(rlp.encode(ommers)) != block_header.ommers_hash:
653
        raise InvalidBlock
654
655
    if len(ommers) == 0:
656
        # Nothing to validate
657
        return
658
659
    # Check that each ommer satisfies the constraints of a header
660
    for ommer in ommers:
661
        if Uint(1) > ommer.number or ommer.number >= block_header.number:
662
            raise InvalidBlock
663
        validate_header(chain, ommer)
664
    if len(ommers) > 2:
665
        raise InvalidBlock
666
667
    ommers_hashes = [keccak256(rlp.encode(ommer)) for ommer in ommers]
668
    if len(ommers_hashes) != len(set(ommers_hashes)):
669
        raise InvalidBlock
670
671
    recent_canonical_blocks = chain.blocks[-(MAX_OMMER_DEPTH + Uint(1)) :]
672
    recent_canonical_block_hashes = {
673
        keccak256(rlp.encode(block.header))
674
        for block in recent_canonical_blocks
675
    }
676
    recent_ommers_hashes: Set[Hash32] = set()
677
    for block in recent_canonical_blocks:
678
        recent_ommers_hashes = recent_ommers_hashes.union(
679
            {keccak256(rlp.encode(ommer)) for ommer in block.ommers}
680
        )
681
682
    for ommer_index, ommer in enumerate(ommers):
683
        ommer_hash = ommers_hashes[ommer_index]
684
        if ommer_hash == block_hash:
685
            raise InvalidBlock
686
        if ommer_hash in recent_canonical_block_hashes:
687
            raise InvalidBlock
688
        if ommer_hash in recent_ommers_hashes:
689
            raise InvalidBlock
690
691
        # Ommer age with respect to the current block. For example, an age of
692
        # 1 indicates that the ommer is a sibling of previous block.
693
        ommer_age = block_header.number - ommer.number
694
        if Uint(1) > ommer_age or ommer_age > MAX_OMMER_DEPTH:
695
            raise InvalidBlock
696
        if ommer.parent_hash not in recent_canonical_block_hashes:
697
            raise InvalidBlock
698
        if ommer.parent_hash == block_header.parent_hash:
699
            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.BlockEnvironmentethereum.forks.london.vm.BlockEnvironment, ​​ommers: Tuple[Header, ...]) -> None:
706
    <snip>
728
    rewards_state = TransactionState(parent=block_env.state)
729
    ommer_count = U256(len(ommers))
730
    miner_reward = BLOCK_REWARD + (ommer_count * (BLOCK_REWARD // U256(32)))
731
    create_ether(rewards_state, block_env.coinbase, miner_reward)
732
733
    for ommer in ommers:
734
        # Ommer age with respect to the current block.
735
        ommer_age = U256(block_env.number - ommer.number)
736
        ommer_miner_reward = ((U256(8) - ommer_age) * BLOCK_REWARD) // U256(8)
737
        create_ether(rewards_state, ommer.coinbase, ommer_miner_reward)
738
739
    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.BlockEnvironmentethereum.forks.london.vm.BlockEnvironment, ​​block_output: ethereum.forks.berlin.vm.BlockOutputethereum.forks.london.vm.BlockOutput, ​​tx: Transaction, ​​index: Uint) -> None:
748
    <snip>
772
    tx_state = TransactionState(parent=block_env.state)
773
774
    trie_set(
775
        block_output.transactions_trie,
776
        rlp.encode(index),
777
        encode_transaction(tx),
778
    )
779
780
    intrinsic_gas = validate_transaction(tx)
781
666
    sender = check_transaction(
782
    (
783
        sender,
784
        effective_gas_price,
785
    ) = check_transaction(
786
        block_env=block_env,
787
        block_output=block_output,
788
        tx=tx,
789
        tx_state=tx_state,
790
    )
791
792
    sender_account = get_account(tx_state, sender)
793
794
    effective_gas_fee = tx.gas * effective_gas_price
795
796
    gas = tx.gas - intrinsic_gas
797
    increment_nonce(tx_state, sender)
798
678
    gas_fee = tx.gas * tx.gas_price
679
    sender_balance_after_gas_fee = Uint(sender_account.balance) - gas_fee
799
    sender_balance_after_gas_fee = (
800
        Uint(sender_account.balance) - effective_gas_fee
801
    )
802
    set_account_balance(tx_state, sender, U256(sender_balance_after_gas_fee))
803
804
    access_list_addresses = set()
805
    access_list_storage_keys = set()
684
    if isinstance(tx, AccessListTransaction):
806
    if isinstance(tx, (AccessListTransaction, FeeMarketTransaction)):
807
        for access in tx.access_list:
808
            access_list_addresses.add(access.account)
809
            for slot in access.slots:
810
                access_list_storage_keys.add((access.account, slot))
811
812
    tx_env = vm.TransactionEnvironment(
813
        origin=sender,
692
        gas_price=tx.gas_price,
814
        gas_price=effective_gas_price,
815
        gas=gas,
816
        access_list_addresses=access_list_addresses,
817
        access_list_storage_keys=access_list_storage_keys,
818
        state=tx_state,
819
        index_in_block=index,
820
        tx_hash=get_transaction_hash(encode_transaction(tx)),
821
    )
822
823
    message = prepare_message(block_env, tx_env, tx)
824
825
    tx_output = process_message_call(message)
826
827
    tx_gas_used_before_refund = tx.gas - tx_output.gas_left
828
    tx_gas_refund = min(
707
        tx_gas_used_before_refund // Uint(2), Uint(tx_output.refund_counter)
829
        tx_gas_used_before_refund // Uint(5), Uint(tx_output.refund_counter)
830
    )
831
    tx_gas_used_after_refund = tx_gas_used_before_refund - tx_gas_refund
832
    tx_gas_left = tx.gas - tx_gas_used_after_refund
711
    gas_refund_amount = tx_gas_left * tx.gas_price
833
    gas_refund_amount = tx_gas_left * effective_gas_price
834
713
    transaction_fee = tx_gas_used_after_refund * tx.gas_price
835
    # For non-1559 transactions effective_gas_price == tx.gas_price
836
    priority_fee_per_gas = effective_gas_price - block_env.base_fee_per_gas
837
    transaction_fee = tx_gas_used_after_refund * priority_fee_per_gas
838
839
    # refund gas
840
    create_ether(tx_state, sender, U256(gas_refund_amount))
841
842
    # transfer miner fees
843
    coinbase_balance_after_mining_fee = get_account(
844
        tx_state, block_env.coinbase
845
    ).balance + U256(transaction_fee)
846
    if coinbase_balance_after_mining_fee != 0:
847
        set_account_balance(
848
            tx_state,
849
            block_env.coinbase,
850
            coinbase_balance_after_mining_fee,
851
        )
852
    elif account_exists_and_is_empty(tx_state, block_env.coinbase):
853
        destroy_account(tx_state, block_env.coinbase)
854
855
    for address in tx_output.accounts_to_delete:
856
        destroy_account(tx_state, address)
857
858
    destroy_touched_empty_accounts(tx_state, tx_output.touched_accounts)
859
860
    block_output.block_gas_used += tx_gas_used_after_refund
861
862
    receipt = make_receipt(
863
        tx, tx_output.error, block_output.block_gas_used, tx_output.logs
864
    )
865
866
    receipt_key = rlp.encode(Uint(index))
867
    block_output.receipt_keys += (receipt_key,)
868
869
    trie_set(
870
        block_output.receipts_trie,
871
        receipt_key,
872
        receipt,
873
    )
874
875
    block_output.block_logs += tx_output.logs
876
877
    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. Therefore, if the gas limit that is through as a parameter is greater than or equal to the passed through as a parameter is greater than or equal to the sum of the of parent's gas and the adjustment delta then the limit for gas is too highthe parent's gas and the adjustment delta then the limit for gas is too and fails this function's check. Similarly, if the limit is less than orhigh and fails this function's check. Similarly, if the limit is less equal to the than or equal to the difference of the parent's gas and the adjustment delta of the parent's gas and the adjustment delta or the predefined LIMIT_MINIMUM then this function's the predefined LIMIT_MINIMUM then this function's check fails becausecheck fails because the gas limit doesn't allow for a sufficient or the gas limit doesn't allow for a sufficient or reasonable amount of gas to be used on a block.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:
881
    <snip>
909
    max_adjustment_delta = parent_gas_limit // GasCosts.LIMIT_ADJUSTMENT_FACTOR
910
    if gas_limit >= parent_gas_limit + max_adjustment_delta:
911
        return False
912
    if gas_limit <= parent_gas_limit - max_adjustment_delta:
913
        return False
914
    if gas_limit < GasCosts.LIMIT_MINIMUM:
915
        return False
916
917
    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:
927
    <snip>
966
    offset = (
967
        int(parent_difficulty)
968
        // 2048
969
        * max(
970
            (2 if parent_has_ommers else 1)
971
            - int(block_timestamp - parent_timestamp) // 9,
972
            -99,
973
        )
974
    )
975
    difficulty = int(parent_difficulty) + offset
976
    # Historical Note: The difficulty bomb was not present in Ethereum at the
977
    # start of Frontier, but was added shortly after launch. However since the
978
    # bomb has no effect prior to block 200000 we pretend it existed from
979
    # genesis.
980
    # See https://github.com/ethereum/go-ethereum/pull/1588
981
    num_bomb_periods = ((int(block_number) - BOMB_DELAY_BLOCKS) // 100000) - 2
982
    if num_bomb_periods >= 0:
983
        difficulty += 2**num_bomb_periods
984
985
    # Some clients raise the difficulty to `MINIMUM_DIFFICULTY` prior to adding
986
    # the bomb. This bug does not matter because the difficulty is always much
987
    # greater than `MINIMUM_DIFFICULTY` on Mainnet.
988
    return Uint(max(difficulty, int(MINIMUM_DIFFICULTY)))