Ethereum Specification
Table of Contents
Introduction
Entry point for the Ethereum specification.
Module Contents
Classes
History and current state of the block chain. |
Functions
Transforms the state from the previous hard fork (old) into the block |
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Obtain the list of hashes of the previous 256 blocks in order of |
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Attempts to apply a block to an existing block chain. |
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Verifies a block header. |
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Generate rlp hash of the header which is to be used for Proof-of-Work |
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Validates the Proof of Work constraints. |
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Check if the transaction is includable in the block. |
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Make the receipt for a transaction that was executed. |
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Executes a block. |
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Validates the ommers mentioned in the block. |
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Pay rewards to the block miner as well as the ommers miners. |
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Execute a transaction against the provided environment. |
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Verifies a transaction. |
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Calculates the gas that is charged before execution is started. |
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Extracts the sender address from a transaction. |
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Compute the hash of a transaction used in a legacy (pre EIP 155) signature. |
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Compute the hash of a transaction used in a EIP 155 signature. |
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Computes the hash of a block header. |
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Validates the gas limit for a block. |
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Computes difficulty of a block using its header and parent header. |
Attributes
Module Details
BLOCK_REWARD
- BLOCK_REWARD
BLOCK_REWARD = U256(2 * 10**18)
GAS_LIMIT_ADJUSTMENT_FACTOR
- GAS_LIMIT_ADJUSTMENT_FACTOR
GAS_LIMIT_ADJUSTMENT_FACTOR = 1024
GAS_LIMIT_MINIMUM
- GAS_LIMIT_MINIMUM
GAS_LIMIT_MINIMUM = 5000
MINIMUM_DIFFICULTY
- MINIMUM_DIFFICULTY
MINIMUM_DIFFICULTY = Uint(131072)
MAX_OMMER_DEPTH
- MAX_OMMER_DEPTH
MAX_OMMER_DEPTH = 6
BOMB_DELAY_BLOCKS
- BOMB_DELAY_BLOCKS
BOMB_DELAY_BLOCKS = 50000009000000
EMPTY_OMMER_HASH
- EMPTY_OMMER_HASH
EMPTY_OMMER_HASH = keccak256(rlp.encode([]))
BlockChain
History and current state of the block chain.
apply_fork
- apply_fork(old)
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 DAO Fork for an example.
- Parameters
old – Previous block chain object.
- Returns
new – Upgraded block chain object for this hard fork.
- Return type
BlockChain
def apply_fork(old: BlockChain) -> BlockChain:
return old
get_last_256_block_hashes
- get_last_256_block_hashes(chain)
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
BLOCKHASHopcode needs to access the latest hashes on the chain, therefore this function retrieves them.- Parameters
chain – History and current state.
- Returns
recent_block_hashes – Hashes of the recent 256 blocks in order of increasing block number.
- Return type
List[Hash32]
def get_last_256_block_hashes(chain: BlockChain) -> List[Hash32]:
recent_blocks = chain.blocks[-255:]
# TODO: This function has not been tested rigorously
if len(recent_blocks) == 0:
return []
recent_block_hashes = []
for block in recent_blocks:
prev_block_hash = block.header.parent_hash
recent_block_hashes.append(prev_block_hash)
# We are computing the hash only for the most recent block and not for
# the rest of the blocks as they have successors which have the hash of
# the current block as parent hash.
most_recent_block_hash = keccak256(rlp.encode(recent_blocks[-1].header))
recent_block_hashes.append(most_recent_block_hash)
return recent_block_hashes
state_transition
- state_transition(chain, block)
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:
parent_header = chain.blocks[-1].header
validate_header(block.header, parent_header)
validate_ommers(block.ommers, block.header, chain)
(
gas_used,
transactions_root,
receipt_root,
block_logs_bloom,
state,
) = apply_body(
chain.state,
get_last_256_block_hashes(chain),
block.header.coinbase,
block.header.number,
block.header.gas_limit,
block.header.timestamp,
block.header.difficulty,
block.transactions,
block.ommers,
chain.chain_id,
)
ensure(gas_used == block.header.gas_used, InvalidBlock)
ensure(transactions_root == block.header.transactions_root, InvalidBlock)
ensure(state_root(state) == block.header.state_root, InvalidBlock)
ensure(receipt_root == block.header.receipt_root, InvalidBlock)
ensure(block_logs_bloom == block.header.bloom, InvalidBlock)
chain.blocks.append(block)
if len(chain.blocks) > 255:
# Real clients have to store more blocks to deal with reorgs, but the
# protocol only requires the last 255
chain.blocks = chain.blocks[-255:]
validate_header
- validate_header(header, parent_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 folowing the parent block’s number since it is the next block in the sequence.
- Parameters
header – Header to check for correctness.
parent_header – Parent Header of the header to check for correctness
def validate_header(header: Header, parent_header: Header) -> None:
parent_has_ommers = parent_header.ommers_hash != EMPTY_OMMER_HASH
ensure(header.timestamp > parent_header.timestamp, InvalidBlock)
ensure(header.number == parent_header.number + 1, InvalidBlock)
ensure(
check_gas_limit(header.gas_limit, parent_header.gas_limit),
InvalidBlock,
)
ensure(len(header.extra_data) <= 32, InvalidBlock)
block_difficulty = calculate_block_difficulty(
header.number,
header.timestamp,
parent_header.timestamp,
parent_header.difficulty,
parent_has_ommers,
)
ensure(header.difficulty == block_difficulty, InvalidBlock)
block_parent_hash = keccak256(rlp.encode(parent_header))
ensure(header.parent_hash == block_parent_hash, InvalidBlock)
validate_proof_of_work(header)
generate_header_hash_for_pow
- generate_header_hash_for_pow(header)
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 – The PoW valid rlp hash of the passed in header.
- Return type
Hash32
def generate_header_hash_for_pow(header: Header) -> Hash32:
header_data_without_pow_artefacts = [
header.parent_hash,
header.ommers_hash,
header.coinbase,
header.state_root,
header.transactions_root,
header.receipt_root,
header.bloom,
header.difficulty,
header.number,
header.gas_limit,
header.gas_used,
header.timestamp,
header.extra_data,
]
return rlp.rlp_hash(header_data_without_pow_artefacts)
validate_proof_of_work
- validate_proof_of_work(header)
Validates the Proof of Work constraints.
In order to verify that a miner’s proof-of-work is valid for a block, a
mix-digestandresultare calculated using thehashimoto_lighthash 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:
header_hash = generate_header_hash_for_pow(header)
# TODO: Memoize this somewhere and read from that data instead of
# calculating cache for every block validation.
cache = generate_cache(header.number)
mix_digest, result = hashimoto_light(
header_hash, header.nonce, cache, dataset_size(header.number)
)
ensure(mix_digest == header.mix_digest, InvalidBlock)
ensure(
Uint.from_be_bytes(result) <= (U256_CEIL_VALUE // header.difficulty),
InvalidBlock,
)
check_transaction
- check_transaction(tx, gas_available, chain_id)
Check if the transaction is includable in the block.
- Parameters
tx – The transaction.
gas_available – The gas remaining in the block.
chain_id – The ID of the current chain.
- Returns
The sender of the transaction.
- Return type
sender_address
- Raises
InvalidBlock : – If the transaction is not includable.
def check_transaction(
tx: Transaction,
gas_available: Uint,
chain_id: U64,
) -> Address:
ensure(tx.gas <= gas_available, InvalidBlock)
sender_address = recover_sender(chain_id, tx)
return sender_address
make_receipt
- make_receipt(tx, has_erred, cumulative_gas_used, logs)
Make the receipt for a transaction that was executed.
- Parameters
tx – The executed transaction.
has_erred – Whether the top level frame of the transaction exited with an error.
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
The receipt for the transaction.
- Return type
receipt
def make_receipt(
tx: Transaction,
has_erred: bool,
cumulative_gas_used: Uint,
logs: Tuple[Log, ...],
) -> Receipt:
receipt = Receipt(
succeeded=not has_erred,
cumulative_gas_used=cumulative_gas_used,
bloom=logs_bloom(logs),
logs=logs,
)
return receipt
apply_body
- apply_body(state, block_hashes, coinbase, block_number, block_gas_limit, block_time, block_difficulty, transactions, ommers, chain_id)
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
state – Current account state.
block_hashes – List of hashes of the previous 256 blocks in the order of increasing block number.
coinbase – Address of account which receives block reward and transaction fees.
block_number – Position of the block within the chain.
block_gas_limit – Initial amount of gas available for execution in this block.
block_time – Time the block was produced, measured in seconds since the epoch.
block_difficulty – Difficulty of the block.
transactions – Transactions included in the block.
ommers – Headers of ancestor blocks which are not direct parents (formerly uncles.)
chain_id – ID of the executing chain.
- Returns
gas_available (ethereum.base_types.Uint) – Remaining gas after all transactions have been executed.
transactions_root (ethereum.fork_types.Root) – Trie root of all the transactions in the block.
receipt_root (ethereum.fork_types.Root) – Trie root of all the receipts in the block.
block_logs_bloom (Bloom) – Logs bloom of all the logs included in all the transactions of the block.
state (ethereum.fork_types.State) – State after all transactions have been executed.
def apply_body(
state: State,
block_hashes: List[Hash32],
coinbase: Address,
block_number: Uint,
block_gas_limit: Uint,
block_time: U256,
block_difficulty: Uint,
transactions: Tuple[Transaction, ...],
ommers: Tuple[Header, ...],
chain_id: U64,
) -> Tuple[Uint, Root, Root, Bloom, State]:
gas_available = block_gas_limit
transactions_trie: Trie[Bytes, Optional[Transaction]] = Trie(
secured=False, default=None
)
receipts_trie: Trie[Bytes, Optional[Receipt]] = Trie(
secured=False, default=None
)
block_logs: Tuple[Log, ...] = ()
for i, tx in enumerate(transactions):
trie_set(transactions_trie, rlp.encode(Uint(i)), tx)
sender_address = check_transaction(tx, gas_available, chain_id)
env = vm.Environment(
caller=sender_address,
origin=sender_address,
block_hashes=block_hashes,
coinbase=coinbase,
number=block_number,
gas_limit=block_gas_limit,
gas_price=tx.gas_price,
time=block_time,
difficulty=block_difficulty,
state=state,
chain_id=chain_id,
)
gas_used, logs, has_erred = process_transaction(env, tx)
gas_available -= gas_used
receipt = make_receipt(
tx, has_erred, (block_gas_limit - gas_available), logs
)
trie_set(
receipts_trie,
rlp.encode(Uint(i)),
receipt,
)
block_logs += logs
pay_rewards(state, block_number, coinbase, ommers)
block_gas_used = block_gas_limit - gas_available
block_logs_bloom = logs_bloom(block_logs)
return (
block_gas_used,
root(transactions_trie),
root(receipts_trie),
block_logs_bloom,
state,
)
validate_ommers
- validate_ommers(ommers, block_header, chain)
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 contraints 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:
block_hash = rlp.rlp_hash(block_header)
ensure(rlp.rlp_hash(ommers) == block_header.ommers_hash, InvalidBlock)
if len(ommers) == 0:
# Nothing to validate
return
# Check that each ommer satisfies the constraints of a header
for ommer in ommers:
ensure(1 <= ommer.number < block_header.number, InvalidBlock)
ommer_parent_header = chain.blocks[
-(block_header.number - ommer.number) - 1
].header
validate_header(ommer, ommer_parent_header)
# Check that there can be only at most 2 ommers for a block.
ensure(len(ommers) <= 2, InvalidBlock)
ommers_hashes = [rlp.rlp_hash(ommer) for ommer in ommers]
# Check that there are no duplicates in the ommers of current block
ensure(len(ommers_hashes) == len(set(ommers_hashes)), InvalidBlock)
recent_canonical_blocks = chain.blocks[-(MAX_OMMER_DEPTH + 1) :]
recent_canonical_block_hashes = {
rlp.rlp_hash(block.header) for block in recent_canonical_blocks
}
recent_ommers_hashes: Set[Hash32] = set()
for block in recent_canonical_blocks:
recent_ommers_hashes = recent_ommers_hashes.union(
{rlp.rlp_hash(ommer) for ommer in block.ommers}
)
for ommer_index, ommer in enumerate(ommers):
ommer_hash = ommers_hashes[ommer_index]
# The current block shouldn't be the ommer
ensure(ommer_hash != block_hash, InvalidBlock)
# Ommer shouldn't be one of the recent canonical blocks
ensure(ommer_hash not in recent_canonical_block_hashes, InvalidBlock)
# Ommer shouldn't be one of the uncles mentioned in the recent
# canonical blocks
ensure(ommer_hash not in recent_ommers_hashes, InvalidBlock)
# Ommer age with respect to the current block. For example, an age of
# 1 indicates that the ommer is a sibling of previous block.
ommer_age = block_header.number - ommer.number
ensure(1 <= ommer_age <= MAX_OMMER_DEPTH, InvalidBlock)
ensure(
ommer.parent_hash in recent_canonical_block_hashes, InvalidBlock
)
ensure(ommer.parent_hash != block_header.parent_hash, InvalidBlock)
pay_rewards
- pay_rewards(state, block_number, coinbase, ommers)
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
state – Current account state.
block_number – Position of the block within the chain.
coinbase – Address of account which receives block reward and transaction fees.
ommers – List of ommers mentioned in the current block.
def pay_rewards(
state: State,
block_number: Uint,
coinbase: Address,
ommers: Tuple[Header, ...],
) -> None:
miner_reward = BLOCK_REWARD + (len(ommers) * (BLOCK_REWARD // 32))
create_ether(state, coinbase, miner_reward)
for ommer in ommers:
# Ommer age with respect to the current block.
ommer_age = U256(block_number - ommer.number)
ommer_miner_reward = ((8 - ommer_age) * BLOCK_REWARD) // 8
create_ether(state, ommer.coinbase, ommer_miner_reward)
process_transaction
- process_transaction(env, tx)
Execute a transaction against the provided environment.
This function processes the actions needed to execute a transaction. It decrements the sender’s account 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
env – Environment for the Ethereum Virtual Machine.
tx – Transaction to execute.
- Returns
gas_left (ethereum.base_types.U256) – Remaining gas after execution.
logs (Tuple[ethereum.fork_types.Log, …]) – Logs generated during execution.
def process_transaction(
env: vm.Environment, tx: Transaction
) -> Tuple[U256, Tuple[Log, ...], bool]:
ensure(validate_transaction(tx), InvalidBlock)
sender = env.origin
sender_account = get_account(env.state, sender)
gas_fee = tx.gas * tx.gas_price
ensure(sender_account.nonce == tx.nonce, InvalidBlock)
ensure(sender_account.balance >= gas_fee + tx.value, InvalidBlock)
ensure(sender_account.code == bytearray(), InvalidBlock)
gas = tx.gas - calculate_intrinsic_cost(tx)
increment_nonce(env.state, sender)
sender_balance_after_gas_fee = sender_account.balance - gas_fee
set_account_balance(env.state, sender, sender_balance_after_gas_fee)
message = prepare_message(
sender,
tx.to,
tx.value,
tx.data,
gas,
env,
)
output = process_message_call(message, env)
gas_used = tx.gas - output.gas_left
gas_refund = min(gas_used // 2, output.refund_counter)
gas_refund_amount = (output.gas_left + gas_refund) * tx.gas_price
transaction_fee = (tx.gas - output.gas_left - gas_refund) * tx.gas_price
total_gas_used = gas_used - gas_refund
# refund gas
sender_balance_after_refund = (
get_account(env.state, sender).balance + gas_refund_amount
)
set_account_balance(env.state, sender, sender_balance_after_refund)
# transfer miner fees
coinbase_balance_after_mining_fee = (
get_account(env.state, env.coinbase).balance + transaction_fee
)
if coinbase_balance_after_mining_fee != 0:
set_account_balance(
env.state, env.coinbase, coinbase_balance_after_mining_fee
)
elif account_exists_and_is_empty(env.state, env.coinbase):
destroy_account(env.state, env.coinbase)
for address in output.accounts_to_delete:
destroy_account(env.state, address)
for address in output.touched_accounts:
if account_exists_and_is_empty(env.state, address):
destroy_account(env.state, address)
return total_gas_used, output.logs, output.has_erred
validate_transaction
- validate_transaction(tx)
Verifies a transaction.
The gas in a transaction gets used to pay for the intrinsic cost of operations, therefore if there is insufficient gas then it would not be possible to execute a transaction and it will be declared invalid.
Additionally, the nonce of a transaction must not equal or exceed the limit defined in EIP-2681. In practice, defining the limit as
2**64-1has no impact because sending2**64-1transactions is improbable. It’s not strictly impossible though,2**64-1transactions is the entire capacity of the Ethereum blockchain at 2022 gas limits for a little over 22 years.- Parameters
tx – Transaction to validate.
- Returns
verified – True if the transaction can be executed, or False otherwise.
- Return type
bool
def validate_transaction(tx: Transaction) -> bool:
return calculate_intrinsic_cost(tx) <= tx.gas and tx.nonce < 2**64 - 1
calculate_intrinsic_cost
- calculate_intrinsic_cost(tx)
Calculates the gas that is charged before execution is started.
The intrinsic cost of the transaction is charged before execution has begun. Functions/operations in the EVM cost money to execute so this intrinsic cost is for the operations that need to be paid for as part of the transaction. Data transfer, for example, is part of this intrinsic cost. It costs ether to send data over the wire and that ether is accounted for in the intrinsic cost calculated in this function. This intrinsic cost must be calculated and paid for before execution in order for all operations to be implemented.
- Parameters
tx – Transaction to compute the intrinsic cost of.
- Returns
verified – The intrinsic cost of the transaction.
- Return type
ethereum.base_types.Uint
def calculate_intrinsic_cost(tx: Transaction) -> Uint:
data_cost = 0
for byte in tx.data:
if byte == 0:
data_cost += TX_DATA_COST_PER_ZERO
else:
data_cost += TX_DATA_COST_PER_NON_ZERO
if tx.to == Bytes0(b""):
create_cost = TX_CREATE_COST
else:
create_cost = 0
return Uint(TX_BASE_COST + data_cost + create_cost)
recover_sender
- recover_sender(chain_id, tx)
Extracts the sender address from a transaction.
The v, r, and s values are the three parts that make up the signature of a transaction. In order to recover the sender of a transaction the two components needed are the signature (
v,r, ands) and the signing hash of the transaction. The sender’s public key can be obtained with these two values and therefore the sender address can be retrieved.- Parameters
tx – Transaction of interest.
chain_id – ID of the executing chain.
- Returns
sender – The address of the account that signed the transaction.
- Return type
ethereum.fork_types.Address
def recover_sender(chain_id: U64, tx: Transaction) -> Address:
v, r, s = tx.v, tx.r, tx.s
ensure(0 < r and r < SECP256K1N, InvalidBlock)
ensure(0 < s and s <= SECP256K1N // 2, InvalidBlock)
if v == 27 or v == 28:
public_key = secp256k1_recover(r, s, v - 27, signing_hash_pre155(tx))
else:
ensure(v == 35 + chain_id * 2 or v == 36 + chain_id * 2, InvalidBlock)
public_key = secp256k1_recover(
r, s, v - 35 - chain_id * 2, signing_hash_155(tx)
)
return Address(keccak256(public_key)[12:32])
signing_hash_pre155
- signing_hash_pre155(tx)
Compute the hash of a transaction used in a legacy (pre EIP 155) signature.
- Parameters
tx – Transaction of interest.
- Returns
hash – Hash of the transaction.
- Return type
ethereum.crypto.hash.Hash32
def signing_hash_pre155(tx: Transaction) -> Hash32:
return keccak256(
rlp.encode(
(
tx.nonce,
tx.gas_price,
tx.gas,
tx.to,
tx.value,
tx.data,
)
)
)
signing_hash_155
- signing_hash_155(tx)
Compute the hash of a transaction used in a EIP 155 signature.
- Parameters
tx – Transaction of interest.
- Returns
hash – Hash of the transaction.
- Return type
ethereum.crypto.hash.Hash32
def signing_hash_155(tx: Transaction) -> Hash32:
return keccak256(
rlp.encode(
(
tx.nonce,
tx.gas_price,
tx.gas,
tx.to,
tx.value,
tx.data,
Uint(1),
Uint(0),
Uint(0),
)
)
)
compute_header_hash
- compute_header_hash(header)
Computes the hash of a block header.
The header hash of a block is the canonical hash that is used to refer to a specific block and completely distinguishes a block from another.
keccak256is a function that produces a 256 bit hash of any input. It also takes in any number of bytes as an input and produces a single hash for them. A hash is a completely unique output for a single input. So an input corresponds to one unique hash that can be used to identify the input exactly.Prior to using the
keccak256hash function, the header must be encoded using the Recursive-Length Prefix. See Recursive Length Prefix (RLP) Encoding. RLP encoding the header converts it into a space-efficient format that allows for easy transfer of data between nodes. The purpose of RLP is to encode arbitrarily nested arrays of binary data, and RLP is the primary encoding method used to serialize objects in Ethereum’s execution layer. The only purpose of RLP is to encode structure; encoding specific data types (e.g. strings, floats) is left up to higher-order protocols.- Parameters
header – Header of interest.
- Returns
hash – Hash of the header.
- Return type
ethereum.crypto.hash.Hash32
def compute_header_hash(header: Header) -> Hash32:
return keccak256(rlp.encode(header))
check_gas_limit
- check_gas_limit(gas_limit, parent_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 theGAS_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 predefinedGAS_LIMIT_MINIMUMthen 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 – True if gas limit constraints are satisfied, False otherwise.
- Return type
bool
def check_gas_limit(gas_limit: Uint, parent_gas_limit: Uint) -> bool:
max_adjustment_delta = parent_gas_limit // GAS_LIMIT_ADJUSTMENT_FACTOR
if gas_limit >= parent_gas_limit + max_adjustment_delta:
return False
if gas_limit <= parent_gas_limit - max_adjustment_delta:
return False
if gas_limit < GAS_LIMIT_MINIMUM:
return False
return True
calculate_block_difficulty
- calculate_block_difficulty(block_number, block_timestamp, parent_timestamp, parent_difficulty, parent_has_ommers)
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
offsetis 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 thedifficultyvariable. If the time between the block and its parent is too short, the offset will result in a positive number thus making the sum ofparent_difficultyandoffsetto 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
GENESIS_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 – Computed difficulty for a block.
- Return type
ethereum.base_types.Uint
def calculate_block_difficulty(
block_number: Uint,
block_timestamp: U256,
parent_timestamp: U256,
parent_difficulty: Uint,
parent_has_ommers: bool,
) -> Uint:
offset = (
int(parent_difficulty)
// 2048
* max(
(2 if parent_has_ommers else 1)
- int(block_timestamp - parent_timestamp) // 9,
-99,
)
)
difficulty = int(parent_difficulty) + offset
# Historical Note: The difficulty bomb was not present in Ethereum at the
# start of Frontier, but was added shortly after launch. However since the
# bomb has no effect prior to block 200000 we pretend it existed from
# genesis.
# See https://github.com/ethereum/go-ethereum/pull/1588
num_bomb_periods = ((int(block_number) - BOMB_DELAY_BLOCKS) // 100000) - 2
if num_bomb_periods >= 0:
difficulty += 2**num_bomb_periods
# Some clients raise the difficulty to `MINIMUM_DIFFICULTY` prior to adding
# the bomb. This bug does not matter because the difficulty is always much
# greater than `MINIMUM_DIFFICULTY` on Mainnet.
return Uint(max(difficulty, MINIMUM_DIFFICULTY))