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

75
BLOCK_REWARD = U256(2 * 10**18)

BASE_FEE_MAX_CHANGE_DENOMINATOR

76
BASE_FEE_MAX_CHANGE_DENOMINATOR = Uint(8)

ELASTICITY_MULTIPLIER

77
ELASTICITY_MULTIPLIER = Uint(2)

MINIMUM_DIFFICULTY

78
MINIMUM_DIFFICULTY = Uint(131072)

INITIAL_BASE_FEE

79
INITIAL_BASE_FEE = Uint(1000000000)

MAX_OMMER_DEPTH

80
MAX_OMMER_DEPTH = Uint(6)

BOMB_DELAY_BLOCKS

72
BOMB_DELAY_BLOCKS = 9000000
81
BOMB_DELAY_BLOCKS = 9700000

EMPTY_OMMER_HASH

82
EMPTY_OMMER_HASH = keccak256(rlp.encode([]))

BlockChain

History and current state of the block chain.

85
@final
86
@dataclass
class BlockChain:

blocks

92
    blocks: List[Block]

state

93
    state: State

chain_id

94
    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:
98
    <snip>
117
    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]:
121
    <snip>
141
    recent_blocks = chain.blocks[-255:]
142
    # TODO: This function has not been tested rigorously
143
    if len(recent_blocks) == 0:
144
        return []
145
146
    recent_block_hashes = []
147
148
    for block in recent_blocks:
149
        prev_block_hash = block.header.parent_hash
150
        recent_block_hashes.append(prev_block_hash)
151
152
    # We are computing the hash only for the most recent block and not for
153
    # the rest of the blocks as they have successors which have the hash of
154
    # the current block as parent hash.
155
    most_recent_block_hash = keccak256(rlp.encode(recent_blocks[-1].header))
156
    recent_block_hashes.append(most_recent_block_hash)
157
158
    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:
162
    <snip>
184
    validate_header(chain, block.header)
185
    validate_ommers(block.ommers, block.header, chain)
186
187
    block_state = BlockState(pre_state=chain.state)
188
189
    block_env = vm.BlockEnvironment(
190
        chain_id=chain.chain_id,
191
        state=block_state,
192
        block_gas_limit=block.header.gas_limit,
193
        block_hashes=get_last_256_block_hashes(chain),
194
        coinbase=block.header.coinbase,
195
        number=block.header.number,
196
        base_fee_per_gas=block.header.base_fee_per_gas,
197
        time=block.header.timestamp,
198
        difficulty=block.header.difficulty,
199
    )
200
201
    block_output = apply_body(
202
        block_env=block_env,
203
        transactions=block.transactions,
204
        ommers=block.ommers,
205
    )
206
    block_diff = extract_block_diff(block_state)
207
    block_state_root, _ = chain.state.compute_state_root_and_trie_changes(
208
        block_diff.account_changes,
209
        block_diff.storage_changes,
210
        block_diff.storage_clears,
211
    )
212
    transactions_root = root(block_output.transactions_trie)
213
    receipt_root = root(block_output.receipts_trie)
214
    block_logs_bloom = logs_bloom(block_output.block_logs)
215
216
    if block_output.block_gas_used != block.header.gas_used:
217
        raise InvalidBlock(
218
            f"{block_output.block_gas_used} != {block.header.gas_used}"
219
        )
220
    if transactions_root != block.header.transactions_root:
221
        raise InvalidBlock
222
    if block_state_root != block.header.state_root:
223
        raise InvalidBlock
224
    if receipt_root != block.header.receipt_root:
225
        raise InvalidBlock
226
    if block_logs_bloom != block.header.bloom:
227
        raise InvalidBlock
228
229
    apply_changes_to_state(chain.state, block_diff)
230
    chain.blocks.append(block)
231
    if len(chain.blocks) > 255:
232
        # Real clients have to store more blocks to deal with reorgs, but the
233
        # protocol only requires the last 255
234
        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:
243
    <snip>
263
    parent_gas_target = parent_gas_limit // ELASTICITY_MULTIPLIER
264
    if not check_gas_limit(block_gas_limit, parent_gas_limit):
265
        raise InvalidBlock
266
267
    if parent_gas_used == parent_gas_target:
268
        expected_base_fee_per_gas = parent_base_fee_per_gas
269
    elif parent_gas_used > parent_gas_target:
270
        gas_used_delta = parent_gas_used - parent_gas_target
271
272
        parent_fee_gas_delta = parent_base_fee_per_gas * gas_used_delta
273
        target_fee_gas_delta = parent_fee_gas_delta // parent_gas_target
274
275
        base_fee_per_gas_delta = max(
276
            target_fee_gas_delta // BASE_FEE_MAX_CHANGE_DENOMINATOR,
277
            Uint(1),
278
        )
279
280
        expected_base_fee_per_gas = (
281
            parent_base_fee_per_gas + base_fee_per_gas_delta
282
        )
283
    else:
284
        gas_used_delta = parent_gas_target - parent_gas_used
285
286
        parent_fee_gas_delta = parent_base_fee_per_gas * gas_used_delta
287
        target_fee_gas_delta = parent_fee_gas_delta // parent_gas_target
288
289
        base_fee_per_gas_delta = (
290
            target_fee_gas_delta // BASE_FEE_MAX_CHANGE_DENOMINATOR
291
        )
292
293
        expected_base_fee_per_gas = (
294
            parent_base_fee_per_gas - base_fee_per_gas_delta
295
        )
296
297
    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:
301
    <snip>
319
    if header.number < Uint(1):
320
        raise InvalidBlock
321
    parent_header_number = header.number - Uint(1)
322
    first_block_number = chain.blocks[0].header.number
323
    last_block_number = chain.blocks[-1].header.number
324
325
    if (
326
        parent_header_number < first_block_number
327
        or parent_header_number > last_block_number
328
    ):
329
        raise InvalidBlock
330
331
    parent_header = chain.blocks[
332
        parent_header_number - first_block_number
333
    ].header
334
335
    if header.gas_used > header.gas_limit:
336
        raise InvalidBlock
337
338
    assert isinstance(, ByBlockNumber)
339
340
    expected_base_fee_per_gas = INITIAL_BASE_FEE
341
    if header.number != .block_number:
342
        # For every block except the first, calculate the base fee per gas
343
        # based on the parent block.
344
        expected_base_fee_per_gas = calculate_base_fee_per_gas(
345
            header.gas_limit,
346
            parent_header.gas_limit,
347
            parent_header.gas_used,
348
            parent_header.base_fee_per_gas,
349
        )
350
351
    if expected_base_fee_per_gas != header.base_fee_per_gas:
352
        raise InvalidBlock
353
354
    parent_has_ommers = parent_header.ommers_hash != EMPTY_OMMER_HASH
355
    if header.timestamp <= parent_header.timestamp:
356
        raise InvalidBlock
357
    if header.number != parent_header.number + Uint(1):
269
        raise InvalidBlock
270
    if not check_gas_limit(header.gas_limit, parent_header.gas_limit):
358
        raise InvalidBlock
359
    if len(header.extra_data) > 32:
360
        raise InvalidBlock
361
362
    block_difficulty = calculate_block_difficulty(
363
        header.number,
364
        header.timestamp,
365
        parent_header.timestamp,
366
        parent_header.difficulty,
367
        parent_has_ommers,
368
    )
369
    if header.difficulty != block_difficulty:
370
        raise InvalidBlock
371
372
    block_parent_hash = keccak256(rlp.encode(parent_header))
373
    if header.parent_hash != block_parent_hash:
374
        raise InvalidBlock
375
376
    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:
380
    <snip>
403
    header_data_without_pow_artefacts = (
404
        header.parent_hash,
405
        header.ommers_hash,
406
        header.coinbase,
407
        header.state_root,
408
        header.transactions_root,
409
        header.receipt_root,
410
        header.bloom,
411
        header.difficulty,
412
        header.number,
413
        header.gas_limit,
414
        header.gas_used,
415
        header.timestamp,
329
        header.extra_data,
416
        header.extra_data,
417
        header.base_fee_per_gas,
418
    )
419
420
    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:
424
    <snip>
439
    header_hash = generate_header_hash_for_pow(header)
440
    # TODO: Memoize this somewhere and read from that data instead of
441
    # calculating cache for every block validation.
442
    cache = generate_cache(header.number)
443
    mix_digest, result = hashimoto_light(
444
        header_hash, header.nonce, cache, dataset_size(header.number)
445
    )
446
    if mix_digest != header.mix_digest:
447
        raise InvalidBlock
448
449
    limit = Uint(U256.MAX_VALUE) + Uint(1)
450
    if Uint.from_be_bytes(result) > (limit // header.difficulty):
451
        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]:
460
    <snip>
499
    gas_available = block_env.block_gas_limit - block_output.block_gas_used
500
    if tx.gas > gas_available:
501
        raise GasUsedExceedsLimitError("gas used exceeds limit")
502
    sender_address = recover_sender(block_env.chain_id, tx)
503
    sender_account = get_account(tx_state, sender_address)
504
409
    max_gas_fee = tx.gas * tx.gas_price
505
    if isinstance(tx, FeeMarketTransaction):
506
        if tx.max_fee_per_gas < tx.max_priority_fee_per_gas:
507
            raise PriorityFeeGreaterThanMaxFeeError(
508
                "priority fee greater than max fee"
509
            )
510
        if tx.max_fee_per_gas < block_env.base_fee_per_gas:
511
            raise InsufficientMaxFeePerGasError(
512
                tx.max_fee_per_gas, block_env.base_fee_per_gas
513
            )
514
515
        priority_fee_per_gas = min(
516
            tx.max_priority_fee_per_gas,
517
            tx.max_fee_per_gas - block_env.base_fee_per_gas,
518
        )
519
        effective_gas_price = priority_fee_per_gas + block_env.base_fee_per_gas
520
        max_gas_fee = tx.gas * tx.max_fee_per_gas
521
    else:
522
        if tx.gas_price < block_env.base_fee_per_gas:
523
            raise InvalidBlock
524
        effective_gas_price = tx.gas_price
525
        max_gas_fee = tx.gas * tx.gas_price
526
527
    if sender_account.nonce > Uint(tx.nonce):
528
        raise NonceMismatchError("nonce too low")
529
    elif sender_account.nonce < Uint(tx.nonce):
530
        raise NonceMismatchError("nonce too high")
531
    if Uint(sender_account.balance) < max_gas_fee + Uint(tx.value):
532
        raise InsufficientBalanceError("insufficient sender balance")
533
    if sender_account.code_hash != EMPTY_CODE_HASH:
534
        raise InvalidSenderError("not EOA")
535
420
    return sender_address
536
    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:
545
    <snip>
566
    receipt = Receipt(
567
        succeeded=error is None,
568
        cumulative_gas_used=cumulative_gas_used,
569
        bloom=logs_bloom(logs),
570
        logs=logs,
571
    )
572
573
    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:
581
    <snip>
607
    block_output = vm.BlockOutput()
608
609
    for i, tx in enumerate(map(decode_transaction, transactions)):
610
        process_transaction(block_env, block_output, tx, Uint(i))
611
612
    pay_rewards(block_env, ommers)
613
614
    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:
620
    <snip>
642
    block_hash = keccak256(rlp.encode(block_header))
643
    if keccak256(rlp.encode(ommers)) != block_header.ommers_hash:
644
        raise InvalidBlock
645
646
    if len(ommers) == 0:
647
        # Nothing to validate
648
        return
649
650
    # Check that each ommer satisfies the constraints of a header
651
    for ommer in ommers:
652
        if Uint(1) > ommer.number or ommer.number >= block_header.number:
653
            raise InvalidBlock
654
        validate_header(chain, ommer)
655
    if len(ommers) > 2:
656
        raise InvalidBlock
657
658
    ommers_hashes = [keccak256(rlp.encode(ommer)) for ommer in ommers]
659
    if len(ommers_hashes) != len(set(ommers_hashes)):
660
        raise InvalidBlock
661
662
    recent_canonical_blocks = chain.blocks[-(MAX_OMMER_DEPTH + Uint(1)) :]
663
    recent_canonical_block_hashes = {
664
        keccak256(rlp.encode(block.header))
665
        for block in recent_canonical_blocks
666
    }
667
    recent_ommers_hashes: Set[Hash32] = set()
668
    for block in recent_canonical_blocks:
669
        recent_ommers_hashes = recent_ommers_hashes.union(
670
            {keccak256(rlp.encode(ommer)) for ommer in block.ommers}
671
        )
672
673
    for ommer_index, ommer in enumerate(ommers):
674
        ommer_hash = ommers_hashes[ommer_index]
675
        if ommer_hash == block_hash:
676
            raise InvalidBlock
677
        if ommer_hash in recent_canonical_block_hashes:
678
            raise InvalidBlock
679
        if ommer_hash in recent_ommers_hashes:
680
            raise InvalidBlock
681
682
        # Ommer age with respect to the current block. For example, an age of
683
        # 1 indicates that the ommer is a sibling of previous block.
684
        ommer_age = block_header.number - ommer.number
685
        if Uint(1) > ommer_age or ommer_age > MAX_OMMER_DEPTH:
686
            raise InvalidBlock
687
        if ommer.parent_hash not in recent_canonical_block_hashes:
688
            raise InvalidBlock
689
        if ommer.parent_hash == block_header.parent_hash:
690
            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:
697
    <snip>
719
    rewards_state = TransactionState(parent=block_env.state)
720
    ommer_count = U256(len(ommers))
721
    miner_reward = BLOCK_REWARD + (ommer_count * (BLOCK_REWARD // U256(32)))
722
    create_ether(rewards_state, block_env.coinbase, miner_reward)
723
724
    for ommer in ommers:
725
        # Ommer age with respect to the current block.
726
        ommer_age = U256(block_env.number - ommer.number)
727
        ommer_miner_reward = ((U256(8) - ommer_age) * BLOCK_REWARD) // U256(8)
728
        create_ether(rewards_state, ommer.coinbase, ommer_miner_reward)
729
730
    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:
739
    <snip>
763
    tx_state = TransactionState(parent=block_env.state)
764
765
    trie_set(
766
        block_output.transactions_trie,
767
        rlp.encode(index),
768
        encode_transaction(tx),
769
    )
770
771
    intrinsic_gas = validate_transaction(tx)
772
657
    sender = check_transaction(
773
    (
774
        sender,
775
        effective_gas_price,
776
    ) = check_transaction(
777
        block_env=block_env,
778
        block_output=block_output,
779
        tx=tx,
780
        tx_state=tx_state,
781
    )
782
783
    sender_account = get_account(tx_state, sender)
784
785
    effective_gas_fee = tx.gas * effective_gas_price
786
787
    gas = tx.gas - intrinsic_gas
788
    increment_nonce(tx_state, sender)
789
669
    gas_fee = tx.gas * tx.gas_price
670
    sender_balance_after_gas_fee = Uint(sender_account.balance) - gas_fee
790
    sender_balance_after_gas_fee = (
791
        Uint(sender_account.balance) - effective_gas_fee
792
    )
793
    set_account_balance(tx_state, sender, U256(sender_balance_after_gas_fee))
794
795
    access_list_addresses = set()
796
    access_list_storage_keys = set()
675
    if isinstance(tx, AccessListTransaction):
797
    if isinstance(tx, (AccessListTransaction, FeeMarketTransaction)):
798
        for access in tx.access_list:
799
            access_list_addresses.add(access.account)
800
            for slot in access.slots:
801
                access_list_storage_keys.add((access.account, slot))
802
803
    tx_env = vm.TransactionEnvironment(
804
        origin=sender,
683
        gas_price=tx.gas_price,
805
        gas_price=effective_gas_price,
806
        gas=gas,
807
        access_list_addresses=access_list_addresses,
808
        access_list_storage_keys=access_list_storage_keys,
809
        state=tx_state,
810
        index_in_block=index,
811
        tx_hash=get_transaction_hash(encode_transaction(tx)),
812
    )
813
814
    message = prepare_message(block_env, tx_env, tx)
815
816
    tx_output = process_message_call(message)
817
818
    tx_gas_used_before_refund = tx.gas - tx_output.gas_left
819
    tx_gas_refund = min(
698
        tx_gas_used_before_refund // Uint(2), Uint(tx_output.refund_counter)
820
        tx_gas_used_before_refund // Uint(5), Uint(tx_output.refund_counter)
821
    )
822
    tx_gas_used_after_refund = tx_gas_used_before_refund - tx_gas_refund
823
    tx_gas_left = tx.gas - tx_gas_used_after_refund
702
    gas_refund_amount = tx_gas_left * tx.gas_price
824
    gas_refund_amount = tx_gas_left * effective_gas_price
825
704
    transaction_fee = tx_gas_used_after_refund * tx.gas_price
826
    # For non-1559 transactions effective_gas_price == tx.gas_price
827
    priority_fee_per_gas = effective_gas_price - block_env.base_fee_per_gas
828
    transaction_fee = tx_gas_used_after_refund * priority_fee_per_gas
829
830
    # refund gas
831
    create_ether(tx_state, sender, U256(gas_refund_amount))
832
833
    # transfer miner fees
834
    coinbase_balance_after_mining_fee = get_account(
835
        tx_state, block_env.coinbase
836
    ).balance + U256(transaction_fee)
837
    if coinbase_balance_after_mining_fee != 0:
838
        set_account_balance(
839
            tx_state,
840
            block_env.coinbase,
841
            coinbase_balance_after_mining_fee,
842
        )
843
    elif account_exists_and_is_empty(tx_state, block_env.coinbase):
844
        destroy_account(tx_state, block_env.coinbase)
845
846
    for address in tx_output.accounts_to_delete:
847
        destroy_account(tx_state, address)
848
849
    destroy_touched_empty_accounts(tx_state, tx_output.touched_accounts)
850
851
    block_output.block_gas_used += tx_gas_used_after_refund
852
853
    receipt = make_receipt(
854
        tx, tx_output.error, block_output.block_gas_used, tx_output.logs
855
    )
856
857
    receipt_key = rlp.encode(Uint(index))
858
    block_output.receipt_keys += (receipt_key,)
859
860
    trie_set(
861
        block_output.receipts_trie,
862
        receipt_key,
863
        receipt,
864
    )
865
866
    block_output.block_logs += tx_output.logs
867
868
    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:
872
    <snip>
900
    max_adjustment_delta = parent_gas_limit // GasCosts.LIMIT_ADJUSTMENT_FACTOR
901
    if gas_limit >= parent_gas_limit + max_adjustment_delta:
902
        return False
903
    if gas_limit <= parent_gas_limit - max_adjustment_delta:
904
        return False
905
    if gas_limit < GasCosts.LIMIT_MINIMUM:
906
        return False
907
908
    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:
918
    <snip>
957
    offset = (
958
        int(parent_difficulty)
959
        // 2048
960
        * max(
961
            (2 if parent_has_ommers else 1)
962
            - int(block_timestamp - parent_timestamp) // 9,
963
            -99,
964
        )
965
    )
966
    difficulty = int(parent_difficulty) + offset
967
    # Historical Note: The difficulty bomb was not present in Ethereum at the
968
    # start of Frontier, but was added shortly after launch. However since the
969
    # bomb has no effect prior to block 200000 we pretend it existed from
970
    # genesis.
971
    # See https://github.com/ethereum/go-ethereum/pull/1588
972
    num_bomb_periods = ((int(block_number) - BOMB_DELAY_BLOCKS) // 100000) - 2
973
    if num_bomb_periods >= 0:
974
        difficulty += 2**num_bomb_periods
975
976
    # Some clients raise the difficulty to `MINIMUM_DIFFICULTY` prior to adding
977
    # the bomb. This bug does not matter because the difficulty is always much
978
    # greater than `MINIMUM_DIFFICULTY` on Mainnet.
979
    return Uint(max(difficulty, int(MINIMUM_DIFFICULTY)))