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docs: Yellow paper rollup circuits and state update (AztecProtocol#3558)
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PR looking to fix AztecProtocol#3148, AztecProtocol#3149 and AztecProtocol#3150.

---------

Co-authored-by: Rahul Kothari <[email protected]>
Co-authored-by: Jan Beneš <[email protected]>
Co-authored-by: esau <[email protected]>
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240 changes: 163 additions & 77 deletions yellow-paper/docs/contracts/index.md

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343 changes: 343 additions & 0 deletions yellow-paper/docs/rollup-circuits/base_rollup.md
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---
title: Base Rollup
sidebar_position: 2
---

The base rollup circuit is the most complex of the rollup circuits, as it has to interpret the output data of a kernel proof and perform the state updates and transaction validation. While this makes the data structures complex to follow, the goal of the circuit is fairly straight forward:

Take `BaseRollupInputs` as an input value, and transform it to `BaseOrMergeRollupPublicInputs` as an output value while making sure that the validity conditions are met.

```mermaid
graph LR
A[BaseRollupInputs] --> C[BaseRollupCircuit] --> B[BaseOrMergeRollupPublicInputs]
```

## Overview

Below is a subset of the figure from [earlier](./index.md) (granted, not much is removed). The figure shows the data structures related to the Base Rollup circuit.

```mermaid
classDiagram
direction TB
class PartialStateReference {
note_hash_tree: Snapshot
nullifier_tree: Snapshot
contract_tree: Snapshot
public_data_tree: Snapshot
}
class StateReference {
l1_to_l2_message_tree: Snapshot
partial: PartialStateReference
}
StateReference *-- PartialStateReference: partial
class GlobalVariables {
block_number: Fr
timestamp: Fr
version: Fr
chain_id: Fr
coinbase: Address
}
class Header {
last_archive: Snapshot
content_hash: Fr[2]
state: StateReference
global_variables: GlobalVariables
}
Header *.. Body : content_hash
Header *-- StateReference : state
Header *-- GlobalVariables : global_variables
class ContractData {
leaf: Fr
address: Address
portal: EthAddress
}
class Logs {
private: EncryptedLogs
public: UnencryptedLogs
}
class PublicDataWrite {
index: Fr
value: Fr
}
class TxEffect {
note_hashes: List~Fr~
nullifiers: List~Fr~
l2_to_l1_msgs: List~Fr~
contracts: List~ContractData~
public_writes: List~PublicDataWrite~
logs: Logs
}
TxEffect *-- "m" ContractData: contracts
TxEffect *-- "m" PublicDataWrite: public_writes
TxEffect *-- Logs : logs
class Body {
l1_to_l2_messages: List~Fr~
tx_effects: List~TxEffect~
}
Body *-- "m" TxEffect
class ProvenBlock {
archive: Snapshot
header: Header
body: Body
}
ProvenBlock *-- Header : header
ProvenBlock *-- Body : body
class ConstantRollupData {
last_archive: Snapshot
base_rollup_vk_hash: Fr,
merge_rollup_vk_hash: Fr,
global_variables: GlobalVariables
}
ConstantRollupData *-- GlobalVariables : global_variables
class PublicDataUpdateRequest {
index: Fr
old_value: Fr
new_value: Fr
}
class PublicDataRead {
index: Fr
value: Fr
}
class NewContractData {
function_tree_root: Fr
address: Address
portal: EthAddress
}
class CombinedAccumulatedData {
aggregation_object: AggregationObject
read_requests: List~Fr~
pending_read_requests: List~Fr~
note_hashes: List~Fr~
nullifiers: List~Fr~
nullified_note_hashes: List~Fr~
l2_to_l1_messages: List~Fr~
contracts: List~NewContractData~
public_update_requests: List~PublicDataUpdateRequest~
public_reads: List~PublicDataRead~
logs: Logs
private_call_stack: List~CallRequest~
public_call_stack: List~CallRequest~
start_public_data_root: Fr
end_public_data_root: Fr
}
CombinedAccumulatedData *-- "m" NewContractData: contracts
CombinedAccumulatedData *-- "m" PublicDataUpdateRequest: public_update_requests
CombinedAccumulatedData *-- "m" PublicDataRead: public_reads
CombinedAccumulatedData *-- Logs : logs
class ContractDeploymentData {
deployer_public_key: Point
constructor_vk_hash: Fr
constructor_args_hash: Fr
function_tree_root: Fr
salt: Fr
portal_address: Fr
}
class TxContext {
fee_context: FeeContext
is_contract_deployment: bool
chain_id: Fr
version: Fr
contract_deployment_data: ContractDeploymentData
}
TxContext *-- ContractDeploymentData: contract_deployment_data
class CombinedConstantData {
historical_header: Header
tx_context: TxContext
}
CombinedConstantData *-- Header : historical_header
CombinedConstantData *-- TxContext : tx_context
class KernelPublicInputs {
is_private: bool
end: CombinedAccumulatedData
constants: CombinedConstantData
}
KernelPublicInputs *-- CombinedAccumulatedData : end
KernelPublicInputs *-- CombinedConstantData : constants
class KernelData {
proof: Proof
public_inputs: KernelPublicInputs
}
KernelData *-- KernelPublicInputs : public_inputs
class StateDiffHints {
nullifier_predecessor_preimages: List~NullifierLeafPreimage~
nullifier_predecessor_membership_witnesses: List~NullifierMembershipWitness~
sorted_nullifiers: List~Fr~
sorted_nullifier_indexes: List~Fr~
note_hash_subtree_sibling_path: List~Fr~,
nullifier_subtree_sibling_path: List~Fr~,
contract_subtree_sibling_path: List~Fr~,
public_data_sibling_path: List~Fr~,
}
class BaseRollupInputs {
historical_header_membership_witnesses: List~HeaderMembershipWitness~
kernel_data: List~KernelData~
partial: PartialStateReference
state_diff_hints: StateDiffHints
}
BaseRollupInputs *-- "m" KernelData : kernelData
BaseRollupInputs *-- PartialStateReference : partial
BaseRollupInputs *-- StateDiffHints : state_diff_hints
BaseRollupInputs *-- ConstantRollupData : constants
class BaseOrMergeRollupPublicInputs {
type: Fr
height_in_block_tree: Fr
aggregation_object: AggregationObject
txs_hash: Fr[2]
out_hash: Fr[2]
constants: ConstantRollupData
start: PartialStateReference
end: PartialStateReference
}
BaseOrMergeRollupPublicInputs *-- ConstantRollupData : constants
BaseOrMergeRollupPublicInputs *-- PartialStateReference : start
BaseOrMergeRollupPublicInputs *-- PartialStateReference : end
```

:::warning TODO
Fee structs and contract deployment structs will need to be revised, in line with newer ideas.
:::

### Validity Conditions

```python
def BaseRollupCircuit(
state_diff_hints: StateDiffHints,
historical_header_membership_witnesses: HeaderMembershipWitness[],
kernel_data: KernelData[],
partial: PartialStateReference,
constants: ConstantRollupData,
) -> BaseOrMergeRollupPublicInputs:

tx_hashes = Fr[][2]
contracts = Fr[]
public_data_tree_root = partial.public_data_tree
for i in len(kernel_data):
tx_hash, _c, public_data_tree_root = kernel_checks(
kernel_data[i],
constants,
public_data_tree_root,
historical_header_membership_witnesses[i],
)
tx_hashes.push(tx_hash)
contracts.push_array(_c)

note_hash_subtree = MerkleTree(
[...note_hashes for kernel_data.public_inputs.end.note_hashes in kernel_data]
)
note_hash_snapshot = merkle_insertion(
partial.note_hash_tree.root,
note_hash_subtree.root,
state_diff_hints.note_hash_subtree_sibling_path,
NOTE_HASH_SUBTREE_HEIGHT,
NOTE_HASH_TREE_HEIGHT,
)

# We can use the sorted nullifiers to simplify batch-insertion
# The sorting can be checked with a permutation
nullifier_snapshot = successor_merkle_batch_insertion(
partial.nullifier_tree.root,
[...nullifiers for kernel_data.public_inputs.end.nullifiers in kernel_data],
state_diff_hints.sorted_nullifiers,
state_diff_hints.sorted_nullifier_indexes,
state_diff_hints.nullifier_subtree_sibling_path,
state_diff.nullifier_predecessor_preimages,
state_diff.nullifier_predecessor_membership_witnesses,
NULLIFIER_SUBTREE_HEIGHT,
NULLIFIER_TREE_HEIGHT,
)

contract_sub_tree = MerkleTree(contracts)
contract_snapshot = merkle_insertion(
partial.note_hash_tree.root,
note_hash_subtree.root,
state_diff_hints.contract_subtree_sibling_path,
CONTRACTS_SUBTREE_HEIGHT,
CONTRACTS_TREE_HEIGHT,
)

txs_hash = SHA256(tx_hashes)
out_hash = SHA256(
[...l2_to_l1_messages for kernel_data.public_inputs.end.l2_to_l1_messages in kernel_data]
)

return BaseOrMergeRollupPublicInputs(
type=0,
height_in_block_tree=0,
aggregation_object=
txs_hash=txs_hash
out_hash=out_hash
start=partial,
end=PartialStateReference(
note_hash_tree=note_hash_snapshot,
nullifier_tree=nullifier_snapshot,
contract_tree=contract_snapshot,
public_data_tree=public_data_tree_root,
),
)

def kernel_checks(
kernel: KernelData,
constants: ConstantRollupData,
public_data_tree_root: Fr,
historical_header_membership_witness: HeaderMembershipWitness
) -> (Fr[2], Fr[], Fr):
assert public_data_tree_root == kernel.public_inputs.end.start_public_data_root
assert kernel.proof.verify(kernel.public_inputs)

tx_context = kernel.public_inputs.constants.tx_context
assert tx_context.chainid == constants.globalVariables.chainid
assert tx_context.version == constants.globalVariables.version

assert len(kernel.public_inputs.end.private_call_stack) == 0
assert len(kernel.public_inputs.end.public_call_stack) == 0

assert merkle_inclusion(
kernel.constants.historical_header.hash(),
kernel.constants.historical_header.global_variables.block_number,
historical_header_membership_witness,
constants.last_archive
)

contracts = []
contract_datas = []
for preimage in kernel.public_inputs.end.contracts:
to_push = preimage.hash() if preimage.address == 0 else 0:
contracts.push(to_push)
contract_datas.push(ContractData(to_push, preimage.address, preimage.portal))

tx_hash = SHA256(
kernel.public_inputs.end.note_hashes |
kernel.public_inputs.end.nullifiers |
contract_datas | 
kernel.public_inputs.end.public_data_writes |
kernel.public_inputs.end.l2_to_l1_messages
)
return (tx_hash, contracts, kernel.public_inputs.end.end_public_data_root)
```
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