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Merge pull request #728 from ethereum/vbuterin-patch-3
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High/low balance separation
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djrtwo committed Mar 21, 2019
2 parents 5fef8ea + f6da42f commit c7172c4
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96 changes: 70 additions & 26 deletions specs/core/0_beacon-chain.md
Original file line number Diff line number Diff line change
Expand Up @@ -60,6 +60,10 @@
- [`get_epoch_start_slot`](#get_epoch_start_slot)
- [`is_active_validator`](#is_active_validator)
- [`get_active_validator_indices`](#get_active_validator_indices)
- [`get_balance`](#get_balance)
- [`set_balance`](#set_balance)
- [`increase_balance`](#increase_balance)
- [`decrease_balance`](#decrease_balance)
- [`get_permuted_index`](#get_permuted_index)
- [`get_split_offset`](#get_split_offset)
- [`get_epoch_committee_count`](#get_epoch_committee_count)
Expand Down Expand Up @@ -115,7 +119,7 @@
- [Helper functions](#helper-functions-1)
- [Justification](#justification)
- [Crosslinks](#crosslinks)
- [Eth1 data](#eth1-data-1)
- [Eth1 data](#eth1-data)
- [Rewards and penalties](#rewards-and-penalties)
- [Justification and finalization](#justification-and-finalization)
- [Crosslinks](#crosslinks-1)
Expand All @@ -128,7 +132,7 @@
- [Per-block processing](#per-block-processing)
- [Block header](#block-header)
- [RANDAO](#randao)
- [Eth1 data](#eth1-data)
- [Eth1 data](#eth1-data-1)
- [Transactions](#transactions)
- [Proposer slashings](#proposer-slashings)
- [Attester slashings](#attester-slashings)
Expand Down Expand Up @@ -201,8 +205,8 @@ Code snippets appearing in `this style` are to be interpreted as Python code.
| - | - | :-: |
| `MIN_DEPOSIT_AMOUNT` | `2**0 * 10**9` (= 1,000,000,000) | Gwei |
| `MAX_DEPOSIT_AMOUNT` | `2**5 * 10**9` (= 32,000,000,000) | Gwei |
| `FORK_CHOICE_BALANCE_INCREMENT` | `2**0 * 10**9` (= 1,000,000,000) | Gwei |
| `EJECTION_BALANCE` | `2**4 * 10**9` (= 16,000,000,000) | Gwei |
| `HIGH_BALANCE_INCREMENT` | `2**0 * 10**9` (= 1,000,000,000) | Gwei |

### Initial values

Expand Down Expand Up @@ -252,7 +256,7 @@ Code snippets appearing in `this style` are to be interpreted as Python code.
| `MIN_PENALTY_QUOTIENT` | `2**5` (= 32) |

* The `BASE_REWARD_QUOTIENT` parameter dictates the per-epoch reward. It corresponds to ~2.54% annual interest assuming 10 million participating ETH in every epoch.
* The `INACTIVITY_PENALTY_QUOTIENT` equals `INVERSE_SQRT_E_DROP_TIME**2` where `INVERSE_SQRT_E_DROP_TIME := 2**12 epochs` (~18 days) is the time it takes the inactivity penalty to reduce the balance of non-participating [validators](#dfn-validator) to about `1/sqrt(e) ~= 60.6%`. Indeed, the balance retained by offline [validators](#dfn-validator) after `n` epochs is about `(1-1/INACTIVITY_PENALTY_QUOTIENT)**(n**2/2)` so after `INVERSE_SQRT_E_DROP_TIME` epochs it is roughly `(1-1/INACTIVITY_PENALTY_QUOTIENT)**(INACTIVITY_PENALTY_QUOTIENT/2) ~= 1/sqrt(e)`.
* The `INACTIVITY_PENALTY_QUOTIENT` equals `INVERSE_SQRT_E_DROP_TIME**2` where `INVERSE_SQRT_E_DROP_TIME := 2**12 epochs` (~18 days) is the time it takes the inactivity penalty to reduce the balance of non-participating [validators](#dfn-validator) to about `1/sqrt(e) ~= 60.6%`. Indeed, the balance retained by offline [validators](#dfn-validator) after `n` epochs is about `(1 - 1/INACTIVITY_PENALTY_QUOTIENT)**(n**2/2)` so after `INVERSE_SQRT_E_DROP_TIME` epochs it is roughly `(1 - 1/INACTIVITY_PENALTY_QUOTIENT)**(INACTIVITY_PENALTY_QUOTIENT/2) ~= 1/sqrt(e)`.


### Max transactions per block
Expand Down Expand Up @@ -416,7 +420,6 @@ The types are defined topologically to aid in facilitating an executable version
'signature': 'bytes96',
}
```

#### `Validator`

```python
Expand All @@ -435,6 +438,8 @@ The types are defined topologically to aid in facilitating an executable version
'initiated_exit': 'bool',
# Was the validator slashed
'slashed': 'bool',
# Rounded balance
'high_balance': 'uint64'
}
```

Expand Down Expand Up @@ -595,7 +600,7 @@ The types are defined topologically to aid in facilitating an executable version

# Validator registry
'validator_registry': [Validator],
'validator_balances': ['uint64'],
'balances': ['uint64'],
'validator_registry_update_epoch': 'uint64',

# Randomness and committees
Expand Down Expand Up @@ -749,12 +754,45 @@ def get_active_validator_indices(validators: List[Validator], epoch: Epoch) -> L
return [i for i, v in enumerate(validators) if is_active_validator(v, epoch)]
```

### `get_balance`

```python
def get_balance(state: BeaconState, index: int) -> int:
return state.balances[index]
```

### `set_balance`

```python
def set_balance(state: BeaconState, index: int, balance: int) -> None:
validator = state.validator_registry[index]
HALF_INCREMENT = HIGH_BALANCE_INCREMENT // 2
if validator.high_balance > balance or validator.high_balance + 3 * HALF_INCREMENT < balance:
validator.high_balance = balance - balance % HIGH_BALANCE_INCREMENT
state.balances[index] = balance
```

### `increase_balance`

```python
def increase_balance(state: BeaconState, index: int, delta: int) -> None:
set_balance(state, index, get_balance(state, index) + delta)
```

### `decrease_balance`

```python
def decrease_balance(state: BeaconState, index: int, delta: int) -> None:
cur_balance = get_balance(state, index)
set_balance(state, index, cur_balance - delta if cur_balance >= delta else 0)
```

### `get_permuted_index`

```python
def get_permuted_index(index: int, list_size: int, seed: Bytes32) -> int:
"""
Return `p(index)` in a pseudorandom permutation `p` of `0...list_size-1` with ``seed`` as entropy.
Return `p(index)` in a pseudorandom permutation `p` of `0...list_size - 1` with ``seed`` as entropy.
Utilizes 'swap or not' shuffling found in
https://link.springer.com/content/pdf/10.1007%2F978-3-642-32009-5_1.pdf
Expand Down Expand Up @@ -1082,7 +1120,7 @@ def get_effective_balance(state: BeaconState, index: ValidatorIndex) -> Gwei:
"""
Return the effective balance (also known as "balance at stake") for a validator with the given ``index``.
"""
return min(state.validator_balances[index], MAX_DEPOSIT_AMOUNT)
return min(get_balance(state, index), MAX_DEPOSIT_AMOUNT)
```

### `get_total_balance`
Expand Down Expand Up @@ -1326,14 +1364,17 @@ def process_deposit(state: BeaconState, deposit: Deposit) -> None:
withdrawable_epoch=FAR_FUTURE_EPOCH,
initiated_exit=False,
slashed=False,
high_balance=0
)

# Note: In phase 2 registry indices that have been withdrawn for a long time will be recycled.
state.validator_registry.append(validator)
state.validator_balances.append(amount)
state.balances.append(0)
set_balance(state, len(state.validator_registry) - 1, amount)
else:
# Increase balance by deposit amount
state.validator_balances[validator_pubkeys.index(pubkey)] += amount
index = validator_pubkeys.index(pubkey)
increase_balance(state, index, amount)
```

### Routines for updating validator status
Expand Down Expand Up @@ -1395,8 +1436,8 @@ def slash_validator(state: BeaconState, index: ValidatorIndex) -> None:

whistleblower_index = get_beacon_proposer_index(state, state.slot)
whistleblower_reward = get_effective_balance(state, index) // WHISTLEBLOWER_REWARD_QUOTIENT
state.validator_balances[whistleblower_index] += whistleblower_reward
state.validator_balances[index] -= whistleblower_reward
increase_balance(state, whistleblower_index, whistleblower_reward)
decrease_balance(state, index, whistleblower_reward)
validator.slashed = True
validator.withdrawable_epoch = get_current_epoch(state) + LATEST_SLASHED_EXIT_LENGTH
```
Expand Down Expand Up @@ -1517,7 +1558,7 @@ def get_genesis_beacon_state(genesis_validator_deposits: List[Deposit],

# Validator registry
validator_registry=[],
validator_balances=[],
balances=[],
validator_registry_update_epoch=GENESIS_EPOCH,

# Randomness and committees
Expand Down Expand Up @@ -1632,9 +1673,12 @@ def lmd_ghost(store: Store, start_state: BeaconState, start_block: BeaconBlock)
for validator_index in active_validator_indices
]

# Use the rounded-balance-with-hysteresis supplied by the protocol for fork
# choice voting. This reduces the number of recomputations that need to be
# made for optimized implementations that precompute and save data
def get_vote_count(block: BeaconBlock) -> int:
return sum(
get_effective_balance(start_state.validator_balances[validator_index]) // FORK_CHOICE_BALANCE_INCREMENT
start_state.validator_registry[validator_index].high_balance
for validator_index, target in attestation_targets
if get_ancestor(store, target, block.slot) == block
)
Expand Down Expand Up @@ -2025,10 +2069,10 @@ def apply_rewards(state: BeaconState) -> None:
deltas1 = get_justification_and_finalization_deltas(state)
deltas2 = get_crosslink_deltas(state)
for i in range(len(state.validator_registry)):
state.validator_balances[i] = max(
set_balance(state, i, max(
0,
state.validator_balances[i] + deltas1[0][i] + deltas2[0][i] - deltas1[1][i] - deltas2[1][i]
)
get_balance(state, i) + deltas1[0][i] + deltas2[0][i] - deltas1[1][i] - deltas2[1][i]
))
```

#### Ejections
Expand All @@ -2042,7 +2086,7 @@ def process_ejections(state: BeaconState) -> None:
and eject active validators with balance below ``EJECTION_BALANCE``.
"""
for index in get_active_validator_indices(state.validator_registry, get_current_epoch(state)):
if state.validator_balances[index] < EJECTION_BALANCE:
if get_balance(state, index) < EJECTION_BALANCE:
initiate_validator_exit(state, index)
```

Expand Down Expand Up @@ -2085,7 +2129,7 @@ def update_validator_registry(state: BeaconState) -> None:
# Activate validators within the allowable balance churn
balance_churn = 0
for index, validator in enumerate(state.validator_registry):
if validator.activation_epoch == FAR_FUTURE_EPOCH and state.validator_balances[index] >= MAX_DEPOSIT_AMOUNT:
if validator.activation_epoch == FAR_FUTURE_EPOCH and get_balance(state, index) >= MAX_DEPOSIT_AMOUNT:
# Check the balance churn would be within the allowance
balance_churn += get_effective_balance(state, index)
if balance_churn > max_balance_churn:
Expand Down Expand Up @@ -2170,7 +2214,7 @@ def process_slashings(state: BeaconState) -> None:
get_effective_balance(state, index) * min(total_penalties * 3, total_balance) // total_balance,
get_effective_balance(state, index) // MIN_PENALTY_QUOTIENT
)
state.validator_balances[index] -= penalty
decrease_balance(state, index, penalty)
```

```python
Expand Down Expand Up @@ -2476,12 +2520,12 @@ def process_transfer(state: BeaconState, transfer: Transfer) -> None:
Note that this function mutates ``state``.
"""
# Verify the amount and fee aren't individually too big (for anti-overflow purposes)
assert state.validator_balances[transfer.sender] >= max(transfer.amount, transfer.fee)
assert get_balance(state, transfer.sender) >= max(transfer.amount, transfer.fee)
# Verify that we have enough ETH to send, and that after the transfer the balance will be either
# exactly zero or at least MIN_DEPOSIT_AMOUNT
assert (
state.validator_balances[transfer.sender] == transfer.amount + transfer.fee or
state.validator_balances[transfer.sender] >= transfer.amount + transfer.fee + MIN_DEPOSIT_AMOUNT
get_balance(state, transfer.sender) == transfer.amount + transfer.fee or
get_balance(state, transfer.sender) >= transfer.amount + transfer.fee + MIN_DEPOSIT_AMOUNT
)
# A transfer is valid in only one slot
assert state.slot == transfer.slot
Expand All @@ -2503,9 +2547,9 @@ def process_transfer(state: BeaconState, transfer: Transfer) -> None:
domain=get_domain(state.fork, slot_to_epoch(transfer.slot), DOMAIN_TRANSFER)
)
# Process the transfer
state.validator_balances[transfer.sender] -= transfer.amount + transfer.fee
state.validator_balances[transfer.recipient] += transfer.amount
state.validator_balances[get_beacon_proposer_index(state, state.slot)] += transfer.fee
decrease_balance(state, transfer.sender, transfer.amount + transfer.fee)
increase_balance(state, transfer.recipient, transfer.amount)
increase_balance(state, get_beacon_proposer_index(state, state.slot), transfer.fee)
```

#### State root verification
Expand Down
10 changes: 6 additions & 4 deletions tests/phase0/block_processing/test_process_deposit.py
Original file line number Diff line number Diff line change
Expand Up @@ -5,6 +5,7 @@

from build.phase0.spec import (
Deposit,
get_balance,
process_deposit,
)
from tests.phase0.helpers import (
Expand Down Expand Up @@ -38,8 +39,9 @@ def test_success(state, deposit_data_leaves, pubkeys, privkeys):
process_deposit(post_state, deposit)

assert len(post_state.validator_registry) == len(state.validator_registry) + 1
assert len(post_state.validator_balances) == len(state.validator_balances) + 1
assert len(post_state.balances) == len(state.balances) + 1
assert post_state.validator_registry[index].pubkey == pubkeys[index]
assert get_balance(post_state, index) == spec.MAX_DEPOSIT_AMOUNT
assert post_state.deposit_index == post_state.latest_eth1_data.deposit_count

return pre_state, deposit, post_state
Expand All @@ -62,16 +64,16 @@ def test_success_top_up(state, deposit_data_leaves, pubkeys, privkeys):

pre_state.latest_eth1_data.deposit_root = root
pre_state.latest_eth1_data.deposit_count = len(deposit_data_leaves)
pre_balance = pre_state.validator_balances[validator_index]
pre_balance = get_balance(pre_state, validator_index)

post_state = deepcopy(pre_state)

process_deposit(post_state, deposit)

assert len(post_state.validator_registry) == len(state.validator_registry)
assert len(post_state.validator_balances) == len(state.validator_balances)
assert len(post_state.balances) == len(state.balances)
assert post_state.deposit_index == post_state.latest_eth1_data.deposit_count
assert post_state.validator_balances[validator_index] == pre_balance + amount
assert get_balance(post_state, validator_index) == pre_balance + amount

return pre_state, deposit, post_state

Expand Down
23 changes: 13 additions & 10 deletions tests/phase0/test_sanity.py
Original file line number Diff line number Diff line change
Expand Up @@ -21,13 +21,15 @@
# functions
get_active_validator_indices,
get_attestation_participants,
get_balance,
get_block_root,
get_crosslink_committees_at_slot,
get_current_epoch,
get_domain,
get_state_root,
advance_slot,
cache_state,
set_balance,
verify_merkle_branch,
hash,
)
Expand Down Expand Up @@ -168,7 +170,7 @@ def test_proposer_slashing(state, pubkeys, privkeys):
assert slashed_validator.exit_epoch < spec.FAR_FUTURE_EPOCH
assert slashed_validator.withdrawable_epoch < spec.FAR_FUTURE_EPOCH
# lost whistleblower reward
assert test_state.validator_balances[validator_index] < state.validator_balances[validator_index]
assert get_balance(test_state, validator_index) < get_balance(state, validator_index)

return state, [block], test_state

Expand Down Expand Up @@ -203,7 +205,8 @@ def test_deposit_in_block(state, deposit_data_leaves, pubkeys, privkeys):

state_transition(post_state, block)
assert len(post_state.validator_registry) == len(state.validator_registry) + 1
assert len(post_state.validator_balances) == len(state.validator_balances) + 1
assert len(post_state.balances) == len(state.balances) + 1
assert get_balance(post_state, index) == spec.MAX_DEPOSIT_AMOUNT
assert post_state.validator_registry[index].pubkey == pubkeys[index]

return pre_state, [block], post_state
Expand Down Expand Up @@ -238,12 +241,12 @@ def test_deposit_top_up(state, pubkeys, privkeys, deposit_data_leaves):
block = build_empty_block_for_next_slot(pre_state)
block.body.deposits.append(deposit)

pre_balance = pre_state.validator_balances[validator_index]
pre_balance = get_balance(pre_state, validator_index)
post_state = deepcopy(pre_state)
state_transition(post_state, block)
assert len(post_state.validator_registry) == len(pre_state.validator_registry)
assert len(post_state.validator_balances) == len(pre_state.validator_balances)
assert post_state.validator_balances[validator_index] == pre_balance + amount
assert len(post_state.balances) == len(pre_state.balances)
assert get_balance(post_state, validator_index) == pre_balance + amount

return pre_state, [block], post_state

Expand Down Expand Up @@ -412,8 +415,8 @@ def test_transfer(state, pubkeys, privkeys):
recipient_index = get_active_validator_indices(pre_state.validator_registry, current_epoch)[0]
transfer_pubkey = pubkeys[-1]
transfer_privkey = privkeys[-1]
amount = pre_state.validator_balances[sender_index]
pre_transfer_recipient_balance = pre_state.validator_balances[recipient_index]
amount = get_balance(pre_state, sender_index)
pre_transfer_recipient_balance = get_balance(pre_state, recipient_index)
transfer = Transfer(
sender=sender_index,
recipient=recipient_index,
Expand Down Expand Up @@ -448,8 +451,8 @@ def test_transfer(state, pubkeys, privkeys):
block.body.transfers.append(transfer)
state_transition(post_state, block)

sender_balance = post_state.validator_balances[sender_index]
recipient_balance = post_state.validator_balances[recipient_index]
sender_balance = get_balance(post_state, sender_index)
recipient_balance = get_balance(post_state, recipient_index)
assert sender_balance == 0
assert recipient_balance == pre_transfer_recipient_balance + amount

Expand All @@ -465,7 +468,7 @@ def test_ejection(state):
assert pre_state.validator_registry[validator_index].exit_epoch == spec.FAR_FUTURE_EPOCH

# set validator balance to below ejection threshold
pre_state.validator_balances[validator_index] = spec.EJECTION_BALANCE - 1
set_balance(pre_state, validator_index, spec.EJECTION_BALANCE - 1)

post_state = deepcopy(pre_state)
#
Expand Down

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