diff --git a/cross-contract-calls-solidity-verifiers/.gitignore b/cross-contract-calls-solidity-verifiers/.gitignore new file mode 100644 index 00000000..2d9d1c1d --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/.gitignore @@ -0,0 +1,46 @@ +# Dependencies +node_modules/ +npm-debug.log* +yarn-debug.log* +yarn-error.log* + +# Environment variables +.env +.env.local +.env.development.local +.env.test.local +.env.production.local + +# Build outputs +circuits/target/ +circuits/proofs/ +contracts/artifacts/ +contracts/cache/ +frontend/build/ +frontend/dist/ + +# IDE +.vscode/ +.idea/ +*.swp +*.swo + +# OS +.DS_Store +Thumbs.db + +# Logs +*.log +logs/ + +# Temporary files +*.tmp +*.temp + + +Prover.toml +Verifier.toml +*.wasm +*.vk +*.pk +*.proof \ No newline at end of file diff --git a/cross-contract-calls-solidity-verifiers/README.md b/cross-contract-calls-solidity-verifiers/README.md new file mode 100644 index 00000000..583b413a --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/README.md @@ -0,0 +1,13 @@ +# Anonymous ZK Poll App + +This project demonstrates an anonymous polling application leveraging Zero-Knowledge (ZK) proofs to ensure unique participation without revealing user identities. It utilizes Noir for ZK circuit development. + +## Features (Planned) + +- Anonymous Voting: Users can cast votes without revealing their identity. + +- Unique Participation: ZK proofs prevent double-voting. + +- Real-time Results: Poll results are updated in real-time. + +- Scalable Architecture: Designed with clear separation of concerns for future expansion. diff --git a/cross-contract-calls-solidity-verifiers/circuits/Nargo.toml b/cross-contract-calls-solidity-verifiers/circuits/Nargo.toml new file mode 100644 index 00000000..f0a77c4b --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/circuits/Nargo.toml @@ -0,0 +1,24 @@ +[package] +name = "circuits" +type = "bin" +authors = [""] + +[dependencies] + +# Configuration for the circuit +[circuit] +# Maximum number of constraints (adjust based on your needs) +max_constraints = 100000 + +# Backend configuration +[backend] +# Use Barretenberg backend (default) +backend = "barretenberg" + +# Optimization settings +[optimization] +# Enable optimizations for smaller proof size +optimize_for_size = true + +# Enable parallel proving (if supported) +enable_parallel = true \ No newline at end of file diff --git a/cross-contract-calls-solidity-verifiers/circuits/src/main.nr b/cross-contract-calls-solidity-verifiers/circuits/src/main.nr new file mode 100644 index 00000000..8ced87d0 --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/circuits/src/main.nr @@ -0,0 +1,63 @@ +use dep::std; + +global MERKLE_TREE_DEPTH: u32 = 20; + +fn main(user_secret: Field, + vote_choice: Field, + merkle_path: [Field; MERKLE_TREE_DEPTH], + merkle_indices: [u1; MERKLE_TREE_DEPTH], + merkle_root: pub Field, + nullifier: pub Field, + poll_id: pub Field, + max_options: pub Field +) { + assert((vote_choice as u32) < (max_options as u32)); + assert((vote_choice as u32) >= 0); + + // verify that the nullifier is correctly computed + let computed_nullifier = std::hash::pedersen_hash([user_secret, poll_id]); + // std::println(f"Computed nullifier: {computed_nullifier}"); + assert(nullifier == computed_nullifier); + + // Verify that the user is in the eligible voters merkle tree + let leaf = std::hash::pedersen_hash([user_secret]); + // std::println(f"Leaf hash: {leaf}"); + let is_valid_member = verify_merkle_membership( + leaf, + merkle_root, + merkle_path, + merkle_indices + ); + assert(is_valid_member); + + // ensure user_secret is not 0 + assert(user_secret != 0); + + std::println(f"Vote verified for poll {poll_id}"); +} + +fn verify_merkle_membership( + leaf: Field, + root: Field, + path: [Field; MERKLE_TREE_DEPTH], + indices: [u1; MERKLE_TREE_DEPTH] +) -> bool { + let mut current = leaf; + + // std::println(f"Starting with leaf: {leaf}"); + for i in 0..MERKLE_TREE_DEPTH { + let path_element = path[i]; + // std::println(f"Step {i}: current = {current}, path_element = {path_element}"); + let is_right = indices[i]; + + if is_right == 0 { + // Current is left child + current = std::hash::pedersen_hash([current, path_element]); + } else { + // Current is right child + current = std::hash::pedersen_hash([path_element, current]); + } + } + // std::println(f"Final computed root: {current}"); + current == root +} diff --git a/cross-contract-calls-solidity-verifiers/ink-contract/.gitignore b/cross-contract-calls-solidity-verifiers/ink-contract/.gitignore new file mode 100755 index 00000000..8de8f877 --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/ink-contract/.gitignore @@ -0,0 +1,9 @@ +# Ignore build artifacts from the local tests sub-crate. +/target/ + +# Ignore backup files creates by cargo fmt. +**/*.rs.bk + +# Remove Cargo.lock when creating an executable, leave it for libraries +# More information here http://doc.crates.io/guide.html#cargotoml-vs-cargolock +Cargo.lock diff --git a/cross-contract-calls-solidity-verifiers/ink-contract/Cargo.toml b/cross-contract-calls-solidity-verifiers/ink-contract/Cargo.toml new file mode 100755 index 00000000..81844a32 --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/ink-contract/Cargo.toml @@ -0,0 +1,34 @@ +[package] +name = "contracts" +version = "0.1.0" +authors = ["[your_name] <[your_email]>"] +edition = "2021" + +[dependencies] +const-crypto = "0.3.0" +ink = { version = "6.0.0-beta", default-features = false, features = ["unstable-hostfn"] } +scale-info = { version = "2.11.6", default-features = false, features = ["derive"] } + +[dev-dependencies] +ink_e2e = "6.0.0-beta" + +[lib] +path = "lib.rs" + +[features] +default = ["std"] +std = [ + "ink/std", + "scale-info/std", +] +ink-as-dependency = [] +e2e-tests = [] + +[package.metadata.ink-lang] +abi = "all" + +[lints.rust.unexpected_cfgs] +level = "warn" +check-cfg = [ + 'cfg(ink_abi, values("ink", "sol", "all"))' +] diff --git a/cross-contract-calls-solidity-verifiers/ink-contract/lib.rs b/cross-contract-calls-solidity-verifiers/ink-contract/lib.rs new file mode 100644 index 00000000..76477608 --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/ink-contract/lib.rs @@ -0,0 +1,534 @@ +#![cfg_attr(not(feature = "std"), no_std, no_main)] + +#[ink::contract] +mod anonymous_poll { + use ink::prelude::string::String; + use ink::prelude::vec::Vec; + use ink::storage::Mapping; + use ink::env::call::{build_call_sol, ExecutionInput, Selector}; + use ink::env::DefaultEnvironment; + use ink::H160; + + /// Storage for the anonymous poll contract + #[ink(storage)] + pub struct AnonymousPoll { + /// Address of the deployed Solidity verifier contract + verifier_address: H160, + /// Contract owner/admin + owner: H160, + /// Counter for poll IDs + next_poll_id: u128, + /// Mapping from poll_id to Poll data + polls: Mapping, + /// Mapping from (poll_id, nullifier_hash) to bool - tracks used nullifiers + used_nullifiers: Mapping<(u128, [u8; 32]), bool>, + /// Mapping from poll_id to vote tallies (option_index -> vote_count) + vote_tallies: Mapping<(u128, u32), u32>, + } + + /// Poll structure + #[ink::scale_derive(Encode, Decode, TypeInfo)] + #[cfg_attr( + feature = "std", + derive(ink::storage::traits::StorageLayout) + )] + pub struct Poll { + /// Unique poll identifier + pub id: u128, + /// Poll title/question + pub title: String, + /// Poll description + pub description: String, + /// Merkle root of eligible voters + pub merkle_root: [u8; 32], + /// Number of voting options + pub max_options: u32, + /// Poll creator + pub creator: H160, + /// Whether the poll is active + pub is_active: bool, + /// Total votes cast + pub total_votes: u32, + /// Poll creation timestamp + pub created_at: u64, + /// Poll end timestamp (0 means no end time) + pub ends_at: u64, + } + + /// Errors + #[ink::error] + pub enum Error { + /// Only the owner can perform this action + OnlyOwner, + /// Poll does not exist + PollNotFound, + /// Poll is not active + PollNotActive, + /// Poll has ended + PollEnded, + /// Nullifier has already been used (double voting attempt) + NullifierAlreadyUsed, + /// Proof verification failed + ProofVerificationFailed, + /// Cross-contract call to verifier failed + VerifierCallFailed, + /// Invalid vote option + InvalidVoteOption, + /// Invalid merkle root + InvalidMerkleRoot, + /// Invalid poll parameters + InvalidPollParameters, + } + + /// Events + #[ink(event)] + pub struct PollCreated { + #[ink(topic)] + poll_id: u128, + creator: H160, + max_options: u32, + } + + #[ink(event)] + pub struct VoteCast { + #[ink(topic)] + poll_id: u128, + nullifier: [u8; 32], + timestamp: u64, + } + + #[ink(event)] + pub struct PollClosed { + #[ink(topic)] + poll_id: u128, + total_votes: u32, + } + + impl AnonymousPoll { + /// Constructor + #[ink(constructor)] + pub fn new(verifier_address: H160) -> Self { + let caller = Self::env().caller(); + Self { + verifier_address, + owner: caller, + next_poll_id: 1, + polls: Mapping::default(), + used_nullifiers: Mapping::default(), + vote_tallies: Mapping::default(), + } + } + + /// Create a new poll + #[ink(message)] + pub fn create_poll( + &mut self, + title: String, + description: String, + merkle_root: [u8; 32], + max_options: u32, + duration_seconds: u64, + ) -> Result { + // Enforce string length limits to prevent payload size issues + if title.len() > 100 { + return Err(Error::InvalidPollParameters); + } + + if description.len() > 500 { + return Err(Error::InvalidPollParameters); + } + + if max_options == 0 || max_options > 100 { + return Err(Error::InvalidPollParameters); + } + + if merkle_root == [0u8; 32] { + return Err(Error::InvalidMerkleRoot); + } + + let poll_id = self.next_poll_id; + let caller = self.env().caller(); + let now = self.env().block_timestamp(); + let ends_at = if duration_seconds > 0 { + now + duration_seconds * 1000 // Convert to milliseconds + } else { + 0 // No end time + }; + + let poll = Poll { + id: poll_id, + title: title.clone(), + description, + merkle_root, + max_options, + creator: caller, + is_active: true, + total_votes: 0, + created_at: now, + ends_at, + }; + + self.polls.insert(poll_id, &poll); + self.next_poll_id += 1; + + // Initialize vote tallies for all options + for option in 0..max_options { + self.vote_tallies.insert((poll_id, option), &0); + } + + self.env().emit_event(PollCreated { + poll_id, + creator: caller, + max_options, + }); + + Ok(poll_id) + } + + /// Cast a vote with zero-knowledge proof + #[ink(message)] + pub fn cast_vote( + &mut self, + poll_id: u128, + proof: Vec, + nullifier: [u8; 32], + vote_choice: u32, + ) -> Result<(), Error> { + // Get poll and validate + let mut poll = self.polls.get(poll_id).ok_or(Error::PollNotFound)?; + + if !poll.is_active { + return Err(Error::PollNotActive); + } + + // Check if poll has ended + let now = self.env().block_timestamp(); + if poll.ends_at > 0 && now > poll.ends_at { + return Err(Error::PollEnded); + } + + // Check if vote option is valid + if vote_choice >= poll.max_options { + return Err(Error::InvalidVoteOption); + } + + // Check if nullifier has been used (prevents double voting) + if self.used_nullifiers.get((poll_id, nullifier)).unwrap_or(false) { + return Err(Error::NullifierAlreadyUsed); + } + + // Prepare public inputs for verification + // Public inputs: [merkle_root, nullifier, poll_id, max_options] + let public_inputs = self.encode_public_inputs( + poll.merkle_root, + nullifier, + poll_id, + poll.max_options, + ); + + // Call Solidity verifier contract + let verification_result = self.call_verifier(proof, public_inputs)?; + + if !verification_result { + return Err(Error::ProofVerificationFailed); + } + + // Mark nullifier as used + self.used_nullifiers.insert((poll_id, nullifier), &true); + + // Update vote tally + let current_tally = self.vote_tallies.get((poll_id, vote_choice)).unwrap_or(0); + self.vote_tallies.insert((poll_id, vote_choice), &(current_tally + 1)); + + // Update poll total votes + poll.total_votes += 1; + self.polls.insert(poll_id, &poll); + + // Emit event + self.env().emit_event(VoteCast { + poll_id, + nullifier, + timestamp: now, + }); + + Ok(()) + } + + /// Call the Solidity verifier contract + fn call_verifier( + &self, + proof: Vec, + public_inputs: Vec, + ) -> Result { + + /// Note that this is a const function, it is evaluated at compile time. + const fn solidity_selector(fn_sig: &str) -> [u8; 4] { + let output: [u8; 32] = const_crypto::sha3::Keccak256::new() + .update(fn_sig.as_bytes()) + .finalize(); + [output[0], output[1], output[2], output[3]] + } + // Solidity function signature: verify(bytes calldata proof, bytes calldata publicInputs) + let selector = solidity_selector("verify(bytes,bytes)"); + + let result = build_call_sol::() + .call(self.verifier_address) + .exec_input( + ExecutionInput::new(Selector::new(selector)) + .push_arg(proof) + .push_arg(public_inputs) + ) + .returns::() + .try_invoke(); + + match result { + Ok(Ok(is_valid)) => Ok(is_valid), + Ok(Err(_)) => Err(Error::VerifierCallFailed), + Err(_) => Err(Error::VerifierCallFailed), + } + } + + /// Encode public inputs for the verifier + /// Format: concatenate all public inputs as bytes + fn encode_public_inputs( + &self, + merkle_root: [u8; 32], + nullifier: [u8; 32], + poll_id: u128, + max_options: u32, + ) -> Vec { + let mut inputs = Vec::new(); + + // Add merkle_root (32 bytes) + inputs.extend_from_slice(&merkle_root); + + // Add nullifier (32 bytes) + inputs.extend_from_slice(&nullifier); + + // Add poll_id (16 bytes for u128) + inputs.extend_from_slice(&poll_id.to_be_bytes()); + + // Add max_options (4 bytes for u32) + inputs.extend_from_slice(&max_options.to_be_bytes()); + + inputs + } + + /// Close a poll (only creator or owner) + #[ink(message)] + pub fn close_poll(&mut self, poll_id: u128) -> Result<(), Error> { + let caller = self.env().caller(); + let mut poll = self.polls.get(poll_id).ok_or(Error::PollNotFound)?; + + // Only poll creator or contract owner can close + if caller != poll.creator && caller != self.owner { + return Err(Error::OnlyOwner); + } + + poll.is_active = false; + self.polls.insert(poll_id, &poll); + + self.env().emit_event(PollClosed { + poll_id, + total_votes: poll.total_votes, + }); + + Ok(()) + } + + /// Get poll details + #[ink(message)] + pub fn get_poll(&self, poll_id: u128) -> (bool, u128, String, String, [u8; 32], u32, H160, bool, u32, u64, u64) { + match self.polls.get(poll_id) { + Some(poll) => ( + true, // exists + poll.id, + poll.title, + poll.description, + poll.merkle_root, + poll.max_options, + poll.creator, + poll.is_active, + poll.total_votes, + poll.created_at, + poll.ends_at, + ), + None => ( + false, // doesn't exist + 0, + String::new(), + String::new(), + [0u8; 32], + 0, + H160::from([0u8; 20]), + false, + 0, + 0, + 0, + ), + } + } + + /// Get vote tally for a specific option + #[ink(message)] + pub fn get_vote_tally(&self, poll_id: u128, option: u32) -> u32 { + self.vote_tallies.get((poll_id, option)).unwrap_or(0) + } + + /// Get all vote tallies for a poll + #[ink(message)] + pub fn get_all_tallies(&self, poll_id: u128) -> Result, Error> { + let poll = self.polls.get(poll_id).ok_or(Error::PollNotFound)?; + let mut tallies = Vec::new(); + + for option in 0..poll.max_options { + let tally = self.vote_tallies.get((poll_id, option)).unwrap_or(0); + tallies.push(tally); + } + + Ok(tallies) + } + + /// Check if a nullifier has been used + #[ink(message)] + pub fn is_nullifier_used(&self, poll_id: u128, nullifier: [u8; 32]) -> bool { + self.used_nullifiers.get((poll_id, nullifier)).unwrap_or(false) + } + + /// Get the verifier contract address + #[ink(message)] + pub fn get_verifier_address(&self) -> H160 { + self.verifier_address + } + + /// Update verifier address (only owner) + #[ink(message)] + pub fn update_verifier(&mut self, new_verifier: H160) -> Result<(), Error> { + if self.env().caller() != self.owner { + return Err(Error::OnlyOwner); + } + self.verifier_address = new_verifier; + Ok(()) + } + + /// Get contract owner + #[ink(message)] + pub fn get_owner(&self) -> H160 { + self.owner + } + + /// Get total number of polls + #[ink(message)] + pub fn get_total_polls(&self) -> u128 { + self.next_poll_id - 1 + } + + /// Check if poll has ended + #[ink(message)] + pub fn has_poll_ended(&self, poll_id: u128) -> Result { + let poll = self.polls.get(poll_id).ok_or(Error::PollNotFound)?; + let now = self.env().block_timestamp(); + Ok(poll.ends_at > 0 && now > poll.ends_at) + } + } + + #[cfg(test)] + mod tests { + use super::*; + + #[ink::test] + fn test_new_contract() { + let accounts = ink::env::test::default_accounts(); + let contract = AnonymousPoll::new(accounts.bob); + + assert_eq!(contract.get_verifier_address(), accounts.bob); + assert_eq!(contract.get_owner(), accounts.alice); + assert_eq!(contract.get_total_polls(), 0); + } + + #[ink::test] + fn test_create_poll() { + let accounts = ink::env::test::default_accounts(); + let mut contract = AnonymousPoll::new(accounts.bob); + + let merkle_root = [1u8; 32]; + let result = contract.create_poll( + String::from("Test Poll"), + String::from("This is a test poll"), + merkle_root, + 3, + 86400, // 1 day + ); + + assert!(result.is_ok()); + let poll_id = result.unwrap(); + assert_eq!(poll_id, 1); + + let (exists, id, title, _, _, max_options, _, is_active, _, _, _) = contract.get_poll(poll_id); + assert!(exists); + assert_eq!(id, 1); + assert_eq!(title, "Test Poll"); + assert_eq!(max_options, 3); + assert_eq!(is_active, true); + } + + #[ink::test] + fn test_invalid_poll_parameters() { + let accounts = ink::env::test::default_accounts(); + let mut contract = AnonymousPoll::new(accounts.bob); + + // Test with 0 options + let result = contract.create_poll( + String::from("Invalid Poll"), + String::from("This poll has no options"), + [1u8; 32], + 0, + 0, + ); + assert!(result.is_err()); + + // Test with invalid merkle root + let result = contract.create_poll( + String::from("Invalid Poll"), + String::from("This poll has invalid merkle root"), + [0u8; 32], + 3, + 0, + ); + assert!(result.is_err()); + } + + #[ink::test] + fn test_get_vote_tallies() { + let accounts = ink::env::test::default_accounts(); + let mut contract = AnonymousPoll::new(accounts.bob); + + let poll_id = contract.create_poll( + String::from("Test Poll"), + String::from("Test"), + [1u8; 32], + 3, + 0, + ).unwrap(); + + // All tallies should start at 0 + let tallies = contract.get_all_tallies(poll_id).unwrap(); + assert_eq!(tallies.len(), 3); + assert_eq!(tallies[0], 0); + assert_eq!(tallies[1], 0); + assert_eq!(tallies[2], 0); + } + + #[ink::test] + fn test_nullifier_tracking() { + let accounts = ink::env::test::default_accounts(); + let contract = AnonymousPoll::new(accounts.bob); + + let nullifier = [42u8; 32]; + let poll_id = 1; + + // Nullifier should not be used initially + assert_eq!(contract.is_nullifier_used(poll_id, nullifier), false); + } + } +} \ No newline at end of file diff --git a/cross-contract-calls-solidity-verifiers/package.json b/cross-contract-calls-solidity-verifiers/package.json new file mode 100644 index 00000000..6dce195b --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/package.json @@ -0,0 +1,21 @@ +{ + "name": "zk-anonymous-poll", + "version": "1.0.0", + "description": "Anonymous polling system using ZK proofs with Noir", + "scripts": { + "build:circuit": "./scripts/build-circuit.sh", + "build:contracts": "cd contracts && npm run build", + "build:frontend": "cd frontend && npm run build", + "test": "npm run test:circuit && npm run test:contracts", + "test:circuit": "cd circuits && nargo test", + "test:contracts": "cd contracts && npm test", + "dev": "cd frontend && npm run dev" + }, + "keywords": ["zk", "noir", "anonymous", "poll", "zero-knowledge"], + "author": "Lynette7", + "license": "MIT", + "devDependencies": { + "@noir-lang/noir_js": "^0.17.0", + "@noir-lang/backend_barretenberg": "^0.17.0" + } +} diff --git a/cross-contract-calls-solidity-verifiers/verifier-contract/.gitignore b/cross-contract-calls-solidity-verifiers/verifier-contract/.gitignore new file mode 100644 index 00000000..bc9aaa18 --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/verifier-contract/.gitignore @@ -0,0 +1,21 @@ +node_modules +.env +rust-analyzer + +# Hardhat files +/cache-pvm +/artifacts-pvm +/cache +/artifacts + +# TypeChain files +/typechain +/typechain-types + +# solidity-coverage files +/coverage +/coverage.json + +# Hardhat Ignition default folder for deployments against a local node +ignition/deployments/chain-31337 +/ignition/deployments/ diff --git a/cross-contract-calls-solidity-verifiers/verifier-contract/README.md b/cross-contract-calls-solidity-verifiers/verifier-contract/README.md new file mode 100644 index 00000000..d0d98156 --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/verifier-contract/README.md @@ -0,0 +1,13 @@ +# Sample Polkadot Hardhat Project + +This project demonstrates how to use Hardhat with Polkadot. It comes with a sample contract, a test for that contract, and a Hardhat Ignition module that deploys that contract. + +1) Create a binary of the [`eth-rpc-adapter`](https://github.com/paritytech/polkadot-sdk/tree/master/substrate/frame/revive/rpc) and move it to `bin` folder at the root of your project. Alternatively, update your configuration file's `adapterConfig.adapterBinaryPath` to point to your local binary. For instructions, check [Polkadot Hardhat docs](https://papermoonio.github.io/polkadot-mkdocs/develop/smart-contracts/dev-environments/hardhat/#testing-your-contract). + +2) Try running some of the following tasks: + +```shell +npx hardhat test +npx hardhat node +npx hardhat node && npx hardhat ignition deploy ./ignition/modules/MyToken.js --network localhost +``` diff --git a/cross-contract-calls-solidity-verifiers/verifier-contract/bin/.gitkeep b/cross-contract-calls-solidity-verifiers/verifier-contract/bin/.gitkeep new file mode 100644 index 00000000..e69de29b diff --git a/cross-contract-calls-solidity-verifiers/verifier-contract/contracts/Verifier.sol b/cross-contract-calls-solidity-verifiers/verifier-contract/contracts/Verifier.sol new file mode 100644 index 00000000..7df90a4b --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/verifier-contract/contracts/Verifier.sol @@ -0,0 +1,1883 @@ +// SPDX-License-Identifier: Apache-2.0 +// Copyright 2022 Aztec +pragma solidity >=0.8.21; + +uint256 constant N = 32768; +uint256 constant LOG_N = 15; +uint256 constant NUMBER_OF_PUBLIC_INPUTS = 4; +library HonkVerificationKey { + function loadVerificationKey() internal pure returns (Honk.VerificationKey memory) { + Honk.VerificationKey memory vk = Honk.VerificationKey({ + circuitSize: uint256(32768), + logCircuitSize: uint256(15), + publicInputsSize: uint256(4), + ql: Honk.G1Point({ + x: uint256(0x08f2281f234f16b22ddfd471a9c1a859b3dc0b501995ca975caf321760d9dd10), + y: uint256(0x08ea4bb5a77a62592be096becc8b6571606a9dd41b98cb5f05cd24fd99f02129) + }), + qr: Honk.G1Point({ + x: uint256(0x28b5b5e49d2684f3c6fc16afd95f3f63344ab655959dc6cd0e6a933d9f6085f7), + y: uint256(0x14531d5b46858b61250de4dadd8e65c1b95107e2793a650e82bb47dd875fd662) + }), + qo: Honk.G1Point({ + x: uint256(0x0a4b9ca84a5c2e5b79a53bb5df8b16e8ff936a8715244a94bc165438225744c3), + y: uint256(0x23c435a76dd1fd3d88fbf9c481484ab07365467350cadf8bd499c01ad71c600f) + }), + q4: Honk.G1Point({ + x: uint256(0x281bc94df549f8c8f2ad68464c3701a5412c65d59896673ebc9654b77cbf2eb4), + y: uint256(0x1e483fa14fb411acc5964c4707913bdf16b86082bb85d9fe59fcca64eaaefa52) + }), + qm: Honk.G1Point({ + x: uint256(0x1969d787001bdcf85d2baadfb9e0a8f3ae06889cc85d6094bf674556e334c8a4), + y: uint256(0x147bbdbbe4df17df661865b837bab9681a0f6c10f46dbfc65793ce90b7b5ae2b) + }), + qc: Honk.G1Point({ + x: uint256(0x03a9800728cffd1c014d48567406035eabcc67efc9a4ab21bf0d271ced02f199), + y: uint256(0x2e17df28fec72d575e34d0141c7bfe6b63d6f511e1881cf51479b9a7d429ff25) + }), + qArith: Honk.G1Point({ + x: uint256(0x230288c977ff19ea7bf18a1ffe3f3762f72a0edd78b8826c5a3b5df76a0842a3), + y: uint256(0x06ef7e5845b13b423c64c31bdb656a8102a2e75cc145c86181e93d3f8bf66623) + }), + qDeltaRange: Honk.G1Point({ + x: uint256(0x118d160719e5b425328920be49aff63c4369a37877111daa38c3431b6b7c4ba6), + y: uint256(0x0cfca2b7a96144e4f85dd3ae849af2d08516c4f30fc24d45d7e0feed30ad74cd) + }), + qElliptic: Honk.G1Point({ + x: uint256(0x12c9959db1a225a6ffc038dee7e4de75bd0639b138d875a535df4edea501c65e), + y: uint256(0x2f444d0325f51e052b9847a13c8b94315729246802543a9ae86522bd6615d161) + }), + qAux: Honk.G1Point({ + x: uint256(0x2f3a3d0b5f60b9a8d66bea9cb25106309fc0ed9890d36b1e0e45da5cb9b8d07f), + y: uint256(0x255a7b4bc8bbbb3289075b5056fd37600f165af6e2d731f8116e35fcb5ef2c40) + }), + qLookup: Honk.G1Point({ + x: uint256(0x29f621e8ec2b0bc6decadb41dd7d638658dbb2357fd49c2e7839e2397b9f6ae5), + y: uint256(0x1e6517cff1fc75ab281be39f0b174a35fb20c88b818ddfd0e71807ac35fac40e) + }), + qPoseidon2External: Honk.G1Point({ + x: uint256(0x2ffec6067e7e53a2263fe16f653c8aa5f4c1506ee2ec84f196a06d9fda251362), + y: uint256(0x1847e7159659c8916e65eb2d2036818f8485183ca80e2632675bd16b75ccfe10) + }), + qPoseidon2Internal: Honk.G1Point({ + x: uint256(0x24cec352be8d28e72539507b8890486ac12831a7284a7dfd91ac714ae3c9b2c8), + y: uint256(0x2e7206a4d26d865a893bdc06f80fbc2dc9559876e51fe80a8ab0075f3b2731f6) + }), + s1: Honk.G1Point({ + x: uint256(0x200e41b62d39442d812f71632a28e7e57e5c35ba0ff3523b4bc7881a2d5373ed), + y: uint256(0x1a450146d5c8268bfbc7f15dc600eb451da79c4b58c7ae7e0e80b2a7b2e7742b) + }), + s2: Honk.G1Point({ + x: uint256(0x151f5a3ffbf4faec50a30e7a092c857a20ec1b6fe81f26cd50cc9f8a56e1f1b5), + y: uint256(0x1b5587ae17aef59c690b74b2cc69d11667874c7974e803b604990d7bc35e197b) + }), + s3: Honk.G1Point({ + x: uint256(0x053c99f217218c8094dcc656b597404975e98cfbcc4199295fde8c1987520844), + y: uint256(0x2ad40fbdacf60238d9f049de5e2f531f3c2b26fb279a437743baff7ec8d02f4e) + }), + s4: Honk.G1Point({ + x: uint256(0x0e65c31da419bbd6f4b1948fd6d94230e005d18980ec1e0b6212d8eaf7261a3d), + y: uint256(0x234f927823417d46970590b4a1dfdb07458773e7d0b2f2ab87d82e32cf80e0df) + }), + t1: Honk.G1Point({ + x: uint256(0x2a37cb486641f0285d347e18051b14c3d4067239c7114413fe5a044e12e31650), + y: uint256(0x05028c85edc4ec8f9693618666386cd389c9f3bccfedaa38ec730741973cd75f) + }), + t2: Honk.G1Point({ + x: uint256(0x17f1e6bd57fb06657c34118938d87b638d85d5d03783b76b27ee85435d84830b), + y: uint256(0x14ee03b42f5dd6f41bb144a2263ab8c61125e3f1299cb5a2e1b1e31631adb1ad) + }), + t3: Honk.G1Point({ + x: uint256(0x2ccb4d5f960ab28804c5e8b1be4dc1b980b59781dac45738a416176c1f4c8842), + y: uint256(0x086cac1eca41e8d72cff0854211802dfdaf403c469d2b1aa18e0338cd1da0048) + }), + t4: Honk.G1Point({ + x: uint256(0x0f4ceca81e709b931409291aac503eb16eab8f64fdbb47f37ba8bba0463b223b), + y: uint256(0x03a1586607bc50702ff8c2ac600e78e575eac8dba16bf9fe9917ecb5f8859e32) + }), + id1: Honk.G1Point({ + x: uint256(0x03a50ec04fb39243cf06b5eabf52b410d90fdd36e76545660cada4ac9ede5382), + y: uint256(0x1186cb0425b2b1d2ed482137c7c8844d12972be0a05226f199611c3190ac47ea) + }), + id2: Honk.G1Point({ + x: uint256(0x2a0b465ed8a6659a70cdb904e08e04c2ea5163e7da7008c774345754569daa22), + y: uint256(0x067390d4e4098cff46a7adf4a2037f3157451cbe93233e9e3005d9c67cb42372) + }), + id3: Honk.G1Point({ + x: uint256(0x1dde3bf337e38955b83d1c7d5952d1a0062da34000c49cf37f0d3217911fb144), + y: uint256(0x12d1cadf5decaa7abb9ab7f7c1da60c519c51415555cbc8273dd64acf3652a98) + }), + id4: Honk.G1Point({ + x: uint256(0x0602ed7961838392a2eac03e2052f1ba7c2667645c66153a0122ba8ca9b0d9b2), + y: uint256(0x1e3ef08dc78447370a8a6eb431d37d55cbc7b5ee268b85b6699247df3174cbe8) + }), + lagrangeFirst: Honk.G1Point({ + x: uint256(0x0000000000000000000000000000000000000000000000000000000000000001), + y: uint256(0x0000000000000000000000000000000000000000000000000000000000000002) + }), + lagrangeLast: Honk.G1Point({ + x: uint256(0x21555354fae64fedda6dfdd8f240ddce9c7f78292343b30549d10976d0bfe07f), + y: uint256(0x15410792122e6b094cd4d4aac66e4fa1e51240a38ca23d31834f8f322f6ed1b0) + }) + }); + return vk; + } +} + +pragma solidity ^0.8.27; + +type Fr is uint256; + +using { add as + } for Fr global; +using { sub as - } for Fr global; +using { mul as * } for Fr global; +using { exp as ^ } for Fr global; +using { notEqual as != } for Fr global; +using { equal as == } for Fr global; + +uint256 constant MODULUS = + 21888242871839275222246405745257275088548364400416034343698204186575808495617; // Prime field order + +Fr constant MINUS_ONE = Fr.wrap(MODULUS - 1); + +// Instantiation +library FrLib +{ + function from(uint256 value) internal pure returns(Fr) + { + return Fr.wrap(value % MODULUS); + } + + function fromBytes32(bytes32 value) internal pure returns(Fr) + { + return Fr.wrap(uint256(value) % MODULUS); + } + + function toBytes32(Fr value) internal pure returns(bytes32) + { + return bytes32(Fr.unwrap(value)); + } + + function invert(Fr value) internal view returns(Fr) + { + uint256 v = Fr.unwrap(value); + uint256 result; + + // Call the modexp precompile to invert in the field + assembly + { + let free := mload(0x40) + mstore(free, 0x20) + mstore(add(free, 0x20), 0x20) + mstore(add(free, 0x40), 0x20) + mstore(add(free, 0x60), v) + mstore(add(free, 0x80), sub(MODULUS, 2)) + mstore(add(free, 0xa0), MODULUS) + let success := staticcall(gas(), 0x05, free, 0xc0, 0x00, 0x20) + if iszero(success) { + revert(0, 0) + } + result := mload(0x00) + } + + return Fr.wrap(result); + } + + function pow(Fr base, uint256 v) internal view returns(Fr) + { + uint256 b = Fr.unwrap(base); + uint256 result; + + // Call the modexp precompile to invert in the field + assembly + { + let free := mload(0x40) + mstore(free, 0x20) + mstore(add(free, 0x20), 0x20) + mstore(add(free, 0x40), 0x20) + mstore(add(free, 0x60), b) + mstore(add(free, 0x80), v) + mstore(add(free, 0xa0), MODULUS) + let success := staticcall(gas(), 0x05, free, 0xc0, 0x00, 0x20) + if iszero(success) { + revert(0, 0) + } + result := mload(0x00) + } + + return Fr.wrap(result); + } + + function div(Fr numerator, Fr denominator) internal view returns(Fr) + { + return numerator * invert(denominator); + } + + function sqr(Fr value) internal pure returns (Fr) { + return value * value; + } + + function unwrap(Fr value) internal pure returns (uint256) { + return Fr.unwrap(value); + } + + function neg(Fr value) internal pure returns (Fr) { + return Fr.wrap(MODULUS - Fr.unwrap(value)); + } +} + +// Free functions +function add(Fr a, Fr b) pure returns(Fr) +{ + return Fr.wrap(addmod(Fr.unwrap(a), Fr.unwrap(b), MODULUS)); +} + +function mul(Fr a, Fr b) pure returns(Fr) +{ + return Fr.wrap(mulmod(Fr.unwrap(a), Fr.unwrap(b), MODULUS)); +} + +function sub(Fr a, Fr b) pure returns(Fr) +{ + return Fr.wrap(addmod(Fr.unwrap(a), MODULUS - Fr.unwrap(b), MODULUS)); +} + +function exp(Fr base, Fr exponent) pure returns(Fr) +{ + if (Fr.unwrap(exponent) == 0) return Fr.wrap(1); + + for (uint256 i = 1; i < Fr.unwrap(exponent); i += i) { + base = base * base; + } + return base; +} + +function notEqual(Fr a, Fr b) pure returns(bool) +{ + return Fr.unwrap(a) != Fr.unwrap(b); +} + +function equal(Fr a, Fr b) pure returns(bool) +{ + return Fr.unwrap(a) == Fr.unwrap(b); +} + +uint256 constant CONST_PROOF_SIZE_LOG_N = 28; + +uint256 constant NUMBER_OF_SUBRELATIONS = 26; +uint256 constant BATCHED_RELATION_PARTIAL_LENGTH = 8; +uint256 constant NUMBER_OF_ENTITIES = 40; +uint256 constant NUMBER_UNSHIFTED = 35; +uint256 constant NUMBER_TO_BE_SHIFTED = 5; + +// Alphas are used as relation separators so there should be NUMBER_OF_SUBRELATIONS - 1 +uint256 constant NUMBER_OF_ALPHAS = 25; + +// Prime field order +uint256 constant Q = 21888242871839275222246405745257275088696311157297823662689037894645226208583; // EC group order. F_q +uint256 constant P = 21888242871839275222246405745257275088548364400416034343698204186575808495617; // Prime field order, F_r + +// ENUM FOR WIRES +enum WIRE { + Q_M, + Q_C, + Q_L, + Q_R, + Q_O, + Q_4, + Q_LOOKUP, + Q_ARITH, + Q_RANGE, + Q_ELLIPTIC, + Q_AUX, + Q_POSEIDON2_EXTERNAL, + Q_POSEIDON2_INTERNAL, + SIGMA_1, + SIGMA_2, + SIGMA_3, + SIGMA_4, + ID_1, + ID_2, + ID_3, + ID_4, + TABLE_1, + TABLE_2, + TABLE_3, + TABLE_4, + LAGRANGE_FIRST, + LAGRANGE_LAST, + W_L, + W_R, + W_O, + W_4, + Z_PERM, + LOOKUP_INVERSES, + LOOKUP_READ_COUNTS, + LOOKUP_READ_TAGS, + W_L_SHIFT, + W_R_SHIFT, + W_O_SHIFT, + W_4_SHIFT, + Z_PERM_SHIFT +} + +library Honk { + struct G1Point { + uint256 x; + uint256 y; + } + + struct G1ProofPoint { + uint256 x_0; + uint256 x_1; + uint256 y_0; + uint256 y_1; + } + + struct VerificationKey { + // Misc Params + uint256 circuitSize; + uint256 logCircuitSize; + uint256 publicInputsSize; + // Selectors + G1Point qm; + G1Point qc; + G1Point ql; + G1Point qr; + G1Point qo; + G1Point q4; + G1Point qLookup; // Lookup + G1Point qArith; // Arithmetic widget + G1Point qDeltaRange; // Delta Range sort + G1Point qAux; // Auxillary + G1Point qElliptic; // Auxillary + G1Point qPoseidon2External; + G1Point qPoseidon2Internal; + // Copy cnstraints + G1Point s1; + G1Point s2; + G1Point s3; + G1Point s4; + // Copy identity + G1Point id1; + G1Point id2; + G1Point id3; + G1Point id4; + // Precomputed lookup table + G1Point t1; + G1Point t2; + G1Point t3; + G1Point t4; + // Fixed first and last + G1Point lagrangeFirst; + G1Point lagrangeLast; + } + + struct RelationParameters { + // challenges + Fr eta; + Fr etaTwo; + Fr etaThree; + Fr beta; + Fr gamma; + // derived + Fr publicInputsDelta; + } + + + struct Proof { + // Free wires + Honk.G1ProofPoint w1; + Honk.G1ProofPoint w2; + Honk.G1ProofPoint w3; + Honk.G1ProofPoint w4; + // Lookup helpers - Permutations + Honk.G1ProofPoint zPerm; + // Lookup helpers - logup + Honk.G1ProofPoint lookupReadCounts; + Honk.G1ProofPoint lookupReadTags; + Honk.G1ProofPoint lookupInverses; + // Sumcheck + Fr[BATCHED_RELATION_PARTIAL_LENGTH][CONST_PROOF_SIZE_LOG_N] sumcheckUnivariates; + Fr[NUMBER_OF_ENTITIES] sumcheckEvaluations; + // Shplemini + Honk.G1ProofPoint[CONST_PROOF_SIZE_LOG_N - 1] geminiFoldComms; + Fr[CONST_PROOF_SIZE_LOG_N] geminiAEvaluations; + Honk.G1ProofPoint shplonkQ; + Honk.G1ProofPoint kzgQuotient; + } +} + +// Transcript library to generate fiat shamir challenges +struct Transcript { + // Oink + Honk.RelationParameters relationParameters; + Fr[NUMBER_OF_ALPHAS] alphas; + Fr[CONST_PROOF_SIZE_LOG_N] gateChallenges; + // Sumcheck + Fr[CONST_PROOF_SIZE_LOG_N] sumCheckUChallenges; + // Gemini + Fr rho; + Fr geminiR; + // Shplonk + Fr shplonkNu; + Fr shplonkZ; +} + +library TranscriptLib { + function generateTranscript(Honk.Proof memory proof, bytes32[] calldata publicInputs, uint256 circuitSize, uint256 publicInputsSize, uint256 pubInputsOffset) + internal + pure + returns (Transcript memory t) + { + Fr previousChallenge; + (t.relationParameters, previousChallenge) = + generateRelationParametersChallenges(proof, publicInputs, circuitSize, publicInputsSize, pubInputsOffset, previousChallenge); + + (t.alphas, previousChallenge) = generateAlphaChallenges(previousChallenge, proof); + + (t.gateChallenges, previousChallenge) = generateGateChallenges(previousChallenge); + + (t.sumCheckUChallenges, previousChallenge) = generateSumcheckChallenges(proof, previousChallenge); + + (t.rho, previousChallenge) = generateRhoChallenge(proof, previousChallenge); + + (t.geminiR, previousChallenge) = generateGeminiRChallenge(proof, previousChallenge); + + (t.shplonkNu, previousChallenge) = generateShplonkNuChallenge(proof, previousChallenge); + + (t.shplonkZ, previousChallenge) = generateShplonkZChallenge(proof, previousChallenge); + + return t; + } + + function splitChallenge(Fr challenge) internal pure returns (Fr first, Fr second) { + uint256 challengeU256 = uint256(Fr.unwrap(challenge)); + uint256 lo = challengeU256 & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF; + uint256 hi = challengeU256 >> 128; + first = FrLib.fromBytes32(bytes32(lo)); + second = FrLib.fromBytes32(bytes32(hi)); + } + + function generateRelationParametersChallenges( + Honk.Proof memory proof, + bytes32[] calldata publicInputs, + uint256 circuitSize, + uint256 publicInputsSize, + uint256 pubInputsOffset, + Fr previousChallenge + ) internal pure returns (Honk.RelationParameters memory rp, Fr nextPreviousChallenge) { + (rp.eta, rp.etaTwo, rp.etaThree, previousChallenge) = + generateEtaChallenge(proof, publicInputs, circuitSize, publicInputsSize, pubInputsOffset); + + (rp.beta, rp.gamma, nextPreviousChallenge) = generateBetaAndGammaChallenges(previousChallenge, proof); + + } + + function generateEtaChallenge(Honk.Proof memory proof, bytes32[] calldata publicInputs, uint256 circuitSize, uint256 publicInputsSize, uint256 pubInputsOffset) + internal + pure + returns (Fr eta, Fr etaTwo, Fr etaThree, Fr previousChallenge) + { + bytes32[] memory round0 = new bytes32[](3 + publicInputsSize + 12); + round0[0] = bytes32(circuitSize); + round0[1] = bytes32(publicInputsSize); + round0[2] = bytes32(pubInputsOffset); + for (uint256 i = 0; i < publicInputsSize; i++) { + round0[3 + i] = bytes32(publicInputs[i]); + } + + // Create the first challenge + // Note: w4 is added to the challenge later on + round0[3 + publicInputsSize] = bytes32(proof.w1.x_0); + round0[3 + publicInputsSize + 1] = bytes32(proof.w1.x_1); + round0[3 + publicInputsSize + 2] = bytes32(proof.w1.y_0); + round0[3 + publicInputsSize + 3] = bytes32(proof.w1.y_1); + round0[3 + publicInputsSize + 4] = bytes32(proof.w2.x_0); + round0[3 + publicInputsSize + 5] = bytes32(proof.w2.x_1); + round0[3 + publicInputsSize + 6] = bytes32(proof.w2.y_0); + round0[3 + publicInputsSize + 7] = bytes32(proof.w2.y_1); + round0[3 + publicInputsSize + 8] = bytes32(proof.w3.x_0); + round0[3 + publicInputsSize + 9] = bytes32(proof.w3.x_1); + round0[3 + publicInputsSize + 10] = bytes32(proof.w3.y_0); + round0[3 + publicInputsSize + 11] = bytes32(proof.w3.y_1); + + previousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(round0))); + (eta, etaTwo) = splitChallenge(previousChallenge); + previousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(Fr.unwrap(previousChallenge)))); + Fr unused; + (etaThree, unused) = splitChallenge(previousChallenge); + } + + function generateBetaAndGammaChallenges(Fr previousChallenge, Honk.Proof memory proof) + internal + pure + returns (Fr beta, Fr gamma, Fr nextPreviousChallenge) + { + bytes32[13] memory round1; + round1[0] = FrLib.toBytes32(previousChallenge); + round1[1] = bytes32(proof.lookupReadCounts.x_0); + round1[2] = bytes32(proof.lookupReadCounts.x_1); + round1[3] = bytes32(proof.lookupReadCounts.y_0); + round1[4] = bytes32(proof.lookupReadCounts.y_1); + round1[5] = bytes32(proof.lookupReadTags.x_0); + round1[6] = bytes32(proof.lookupReadTags.x_1); + round1[7] = bytes32(proof.lookupReadTags.y_0); + round1[8] = bytes32(proof.lookupReadTags.y_1); + round1[9] = bytes32(proof.w4.x_0); + round1[10] = bytes32(proof.w4.x_1); + round1[11] = bytes32(proof.w4.y_0); + round1[12] = bytes32(proof.w4.y_1); + + nextPreviousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(round1))); + (beta, gamma) = splitChallenge(nextPreviousChallenge); + } + + // Alpha challenges non-linearise the gate contributions + function generateAlphaChallenges(Fr previousChallenge, Honk.Proof memory proof) + internal + pure + returns (Fr[NUMBER_OF_ALPHAS] memory alphas, Fr nextPreviousChallenge) + { + // Generate the original sumcheck alpha 0 by hashing zPerm and zLookup + uint256[9] memory alpha0; + alpha0[0] = Fr.unwrap(previousChallenge); + alpha0[1] = proof.lookupInverses.x_0; + alpha0[2] = proof.lookupInverses.x_1; + alpha0[3] = proof.lookupInverses.y_0; + alpha0[4] = proof.lookupInverses.y_1; + alpha0[5] = proof.zPerm.x_0; + alpha0[6] = proof.zPerm.x_1; + alpha0[7] = proof.zPerm.y_0; + alpha0[8] = proof.zPerm.y_1; + + nextPreviousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(alpha0))); + (alphas[0], alphas[1]) = splitChallenge(nextPreviousChallenge); + + for (uint256 i = 1; i < NUMBER_OF_ALPHAS / 2; i++) { + nextPreviousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(Fr.unwrap(nextPreviousChallenge)))); + (alphas[2 * i], alphas[2 * i + 1]) = splitChallenge(nextPreviousChallenge); + } + if (((NUMBER_OF_ALPHAS & 1) == 1) && (NUMBER_OF_ALPHAS > 2)) { + nextPreviousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(Fr.unwrap(nextPreviousChallenge)))); + Fr unused; + (alphas[NUMBER_OF_ALPHAS - 1], unused) = splitChallenge(nextPreviousChallenge); + } + } + + function generateGateChallenges(Fr previousChallenge) + internal + pure + returns (Fr[CONST_PROOF_SIZE_LOG_N] memory gateChallenges, Fr nextPreviousChallenge) + { + for (uint256 i = 0; i < CONST_PROOF_SIZE_LOG_N; i++) { + previousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(Fr.unwrap(previousChallenge)))); + Fr unused; + (gateChallenges[i], unused) = splitChallenge(previousChallenge); + } + nextPreviousChallenge = previousChallenge; + } + + function generateSumcheckChallenges(Honk.Proof memory proof, Fr prevChallenge) + internal + pure + returns (Fr[CONST_PROOF_SIZE_LOG_N] memory sumcheckChallenges, Fr nextPreviousChallenge) + { + for (uint256 i = 0; i < CONST_PROOF_SIZE_LOG_N; i++) { + Fr[BATCHED_RELATION_PARTIAL_LENGTH + 1] memory univariateChal; + univariateChal[0] = prevChallenge; + + for (uint256 j = 0; j < BATCHED_RELATION_PARTIAL_LENGTH; j++) { + univariateChal[j + 1] = proof.sumcheckUnivariates[i][j]; + } + prevChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(univariateChal))); + Fr unused; + (sumcheckChallenges[i], unused) = splitChallenge(prevChallenge); + } + nextPreviousChallenge = prevChallenge; + } + + function generateRhoChallenge(Honk.Proof memory proof, Fr prevChallenge) + internal + pure + returns (Fr rho, Fr nextPreviousChallenge) + { + Fr[NUMBER_OF_ENTITIES + 1] memory rhoChallengeElements; + rhoChallengeElements[0] = prevChallenge; + + for (uint256 i = 0; i < NUMBER_OF_ENTITIES; i++) { + rhoChallengeElements[i + 1] = proof.sumcheckEvaluations[i]; + } + + nextPreviousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(rhoChallengeElements))); + Fr unused; + (rho, unused) = splitChallenge(nextPreviousChallenge); + } + + function generateGeminiRChallenge(Honk.Proof memory proof, Fr prevChallenge) + internal + pure + returns (Fr geminiR, Fr nextPreviousChallenge) + { + uint256[(CONST_PROOF_SIZE_LOG_N - 1) * 4 + 1] memory gR; + gR[0] = Fr.unwrap(prevChallenge); + + for (uint256 i = 0; i < CONST_PROOF_SIZE_LOG_N - 1; i++) { + gR[1 + i * 4] = proof.geminiFoldComms[i].x_0; + gR[2 + i * 4] = proof.geminiFoldComms[i].x_1; + gR[3 + i * 4] = proof.geminiFoldComms[i].y_0; + gR[4 + i * 4] = proof.geminiFoldComms[i].y_1; + } + + nextPreviousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(gR))); + Fr unused; + (geminiR, unused) = splitChallenge(nextPreviousChallenge); + } + + function generateShplonkNuChallenge(Honk.Proof memory proof, Fr prevChallenge) + internal + pure + returns (Fr shplonkNu, Fr nextPreviousChallenge) + { + uint256[(CONST_PROOF_SIZE_LOG_N) + 1] memory shplonkNuChallengeElements; + shplonkNuChallengeElements[0] = Fr.unwrap(prevChallenge); + + for (uint256 i = 0; i < CONST_PROOF_SIZE_LOG_N; i++) { + shplonkNuChallengeElements[i + 1] = Fr.unwrap(proof.geminiAEvaluations[i]); + } + + nextPreviousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(shplonkNuChallengeElements))); + Fr unused; + (shplonkNu, unused) = splitChallenge(nextPreviousChallenge); + } + + function generateShplonkZChallenge(Honk.Proof memory proof, Fr prevChallenge) + internal + pure + returns (Fr shplonkZ, Fr nextPreviousChallenge) + { + uint256[5] memory shplonkZChallengeElements; + shplonkZChallengeElements[0] = Fr.unwrap(prevChallenge); + + shplonkZChallengeElements[1] = proof.shplonkQ.x_0; + shplonkZChallengeElements[2] = proof.shplonkQ.x_1; + shplonkZChallengeElements[3] = proof.shplonkQ.y_0; + shplonkZChallengeElements[4] = proof.shplonkQ.y_1; + + nextPreviousChallenge = FrLib.fromBytes32(keccak256(abi.encodePacked(shplonkZChallengeElements))); + Fr unused; + (shplonkZ, unused) = splitChallenge(nextPreviousChallenge); + } + + function loadProof(bytes calldata proof) internal pure returns (Honk.Proof memory p) { + // Commitments + p.w1 = bytesToG1ProofPoint(proof[0x0:0x80]); + + p.w2 = bytesToG1ProofPoint(proof[0x80:0x100]); + p.w3 = bytesToG1ProofPoint(proof[0x100:0x180]); + + // Lookup / Permutation Helper Commitments + p.lookupReadCounts = bytesToG1ProofPoint(proof[0x180:0x200]); + p.lookupReadTags = bytesToG1ProofPoint(proof[0x200:0x280]); + p.w4 = bytesToG1ProofPoint(proof[0x280:0x300]); + p.lookupInverses = bytesToG1ProofPoint(proof[0x300:0x380]); + p.zPerm = bytesToG1ProofPoint(proof[0x380:0x400]); + uint256 boundary = 0x400; + + // Sumcheck univariates + for (uint256 i = 0; i < CONST_PROOF_SIZE_LOG_N; i++) { + for (uint256 j = 0; j < BATCHED_RELATION_PARTIAL_LENGTH; j++) { + p.sumcheckUnivariates[i][j] = bytesToFr(proof[boundary:boundary + 0x20]); + boundary += 0x20; + } + } + // Sumcheck evaluations + for (uint256 i = 0; i < NUMBER_OF_ENTITIES; i++) { + p.sumcheckEvaluations[i] = bytesToFr(proof[boundary:boundary + 0x20]); + boundary += 0x20; + } + + // Gemini + // Read gemini fold univariates + for (uint256 i = 0; i < CONST_PROOF_SIZE_LOG_N - 1; i++) { + p.geminiFoldComms[i] = bytesToG1ProofPoint(proof[boundary:boundary + 0x80]); + boundary += 0x80; + } + + // Read gemini a evaluations + for (uint256 i = 0; i < CONST_PROOF_SIZE_LOG_N; i++) { + p.geminiAEvaluations[i] = bytesToFr(proof[boundary:boundary + 0x20]); + boundary += 0x20; + } + + // Shplonk + p.shplonkQ = bytesToG1ProofPoint(proof[boundary:boundary + 0x80]); + boundary = boundary + 0x80; + // KZG + p.kzgQuotient = bytesToG1ProofPoint(proof[boundary:boundary + 0x80]); + } +} + + +// Fr utility + +function bytesToFr(bytes calldata proofSection) pure returns (Fr scalar) { + require(proofSection.length == 0x20, "invalid bytes scalar"); + scalar = FrLib.fromBytes32(bytes32(proofSection)); +} + +// EC Point utilities +function convertProofPoint(Honk.G1ProofPoint memory input) pure returns (Honk.G1Point memory) { + return Honk.G1Point({x: input.x_0 | (input.x_1 << 136), y: input.y_0 | (input.y_1 << 136)}); +} + +function bytesToG1ProofPoint(bytes calldata proofSection) pure returns (Honk.G1ProofPoint memory point) { + require(proofSection.length == 0x80, "invalid bytes point"); + point = Honk.G1ProofPoint({ + x_0: uint256(bytes32(proofSection[0x00:0x20])), + x_1: uint256(bytes32(proofSection[0x20:0x40])), + y_0: uint256(bytes32(proofSection[0x40:0x60])), + y_1: uint256(bytes32(proofSection[0x60:0x80])) + }); +} + +function negateInplace(Honk.G1Point memory point) pure returns (Honk.G1Point memory) { + point.y = (Q - point.y) % Q; + return point; +} + + function pairing(Honk.G1Point memory rhs, Honk.G1Point memory lhs) view returns (bool) { + bytes memory input = abi.encodePacked( + rhs.x, + rhs.y, + // Fixed G1 point + uint256(0x198e9393920d483a7260bfb731fb5d25f1aa493335a9e71297e485b7aef312c2), + uint256(0x1800deef121f1e76426a00665e5c4479674322d4f75edadd46debd5cd992f6ed), + uint256(0x090689d0585ff075ec9e99ad690c3395bc4b313370b38ef355acdadcd122975b), + uint256(0x12c85ea5db8c6deb4aab71808dcb408fe3d1e7690c43d37b4ce6cc0166fa7daa), + lhs.x, + lhs.y, + // G1 point from VK + uint256(0x260e01b251f6f1c7e7ff4e580791dee8ea51d87a358e038b4efe30fac09383c1), + uint256(0x0118c4d5b837bcc2bc89b5b398b5974e9f5944073b32078b7e231fec938883b0), + uint256(0x04fc6369f7110fe3d25156c1bb9a72859cf2a04641f99ba4ee413c80da6a5fe4), + uint256(0x22febda3c0c0632a56475b4214e5615e11e6dd3f96e6cea2854a87d4dacc5e55) + ); + + (bool success, bytes memory result) = address(0x08).staticcall(input); + bool decodedResult = abi.decode(result, (bool)); + return success && decodedResult; + } + + +library RelationsLib { + Fr internal constant GRUMPKIN_CURVE_B_PARAMETER_NEGATED = Fr.wrap(17); // -(-17) + + function accumulateRelationEvaluations( + Fr[NUMBER_OF_ENTITIES] memory purportedEvaluations, + Honk.RelationParameters memory rp, + Fr[NUMBER_OF_ALPHAS] memory alphas, + Fr powPartialEval + ) internal pure returns (Fr accumulator) { + Fr[NUMBER_OF_SUBRELATIONS] memory evaluations; + + // Accumulate all relations in Ultra Honk - each with varying number of subrelations + accumulateArithmeticRelation(purportedEvaluations, evaluations, powPartialEval); + accumulatePermutationRelation(purportedEvaluations, rp, evaluations, powPartialEval); + accumulateLogDerivativeLookupRelation(purportedEvaluations, rp, evaluations, powPartialEval); + accumulateDeltaRangeRelation(purportedEvaluations, evaluations, powPartialEval); + accumulateEllipticRelation(purportedEvaluations, evaluations, powPartialEval); + accumulateAuxillaryRelation(purportedEvaluations, rp, evaluations, powPartialEval); + accumulatePoseidonExternalRelation(purportedEvaluations, evaluations, powPartialEval); + accumulatePoseidonInternalRelation(purportedEvaluations, evaluations, powPartialEval); + // batch the subrelations with the alpha challenges to obtain the full honk relation + accumulator = scaleAndBatchSubrelations(evaluations, alphas); + } + + /** + * Aesthetic helper function that is used to index by enum into proof.sumcheckEvaluations, it avoids + * the relation checking code being cluttered with uint256 type casting, which is often a different colour in code + * editors, and thus is noisy. + */ + function wire(Fr[NUMBER_OF_ENTITIES] memory p, WIRE _wire) internal pure returns (Fr) { + return p[uint256(_wire)]; + } + + uint256 internal constant NEG_HALF_MODULO_P = 0x183227397098d014dc2822db40c0ac2e9419f4243cdcb848a1f0fac9f8000000; + /** + * Ultra Arithmetic Relation + * + */ + function accumulateArithmeticRelation( + Fr[NUMBER_OF_ENTITIES] memory p, + Fr[NUMBER_OF_SUBRELATIONS] memory evals, + Fr domainSep + ) internal pure { + // Relation 0 + Fr q_arith = wire(p, WIRE.Q_ARITH); + { + Fr neg_half = Fr.wrap(NEG_HALF_MODULO_P); + + Fr accum = (q_arith - Fr.wrap(3)) * (wire(p, WIRE.Q_M) * wire(p, WIRE.W_R) * wire(p, WIRE.W_L)) * neg_half; + accum = accum + (wire(p, WIRE.Q_L) * wire(p, WIRE.W_L)) + (wire(p, WIRE.Q_R) * wire(p, WIRE.W_R)) + + (wire(p, WIRE.Q_O) * wire(p, WIRE.W_O)) + (wire(p, WIRE.Q_4) * wire(p, WIRE.W_4)) + wire(p, WIRE.Q_C); + accum = accum + (q_arith - Fr.wrap(1)) * wire(p, WIRE.W_4_SHIFT); + accum = accum * q_arith; + accum = accum * domainSep; + evals[0] = accum; + } + + // Relation 1 + { + Fr accum = wire(p, WIRE.W_L) + wire(p, WIRE.W_4) - wire(p, WIRE.W_L_SHIFT) + wire(p, WIRE.Q_M); + accum = accum * (q_arith - Fr.wrap(2)); + accum = accum * (q_arith - Fr.wrap(1)); + accum = accum * q_arith; + accum = accum * domainSep; + evals[1] = accum; + } + } + + function accumulatePermutationRelation( + Fr[NUMBER_OF_ENTITIES] memory p, + Honk.RelationParameters memory rp, + Fr[NUMBER_OF_SUBRELATIONS] memory evals, + Fr domainSep + ) internal pure { + Fr grand_product_numerator; + Fr grand_product_denominator; + + { + Fr num = wire(p, WIRE.W_L) + wire(p, WIRE.ID_1) * rp.beta + rp.gamma; + num = num * (wire(p, WIRE.W_R) + wire(p, WIRE.ID_2) * rp.beta + rp.gamma); + num = num * (wire(p, WIRE.W_O) + wire(p, WIRE.ID_3) * rp.beta + rp.gamma); + num = num * (wire(p, WIRE.W_4) + wire(p, WIRE.ID_4) * rp.beta + rp.gamma); + + grand_product_numerator = num; + } + { + Fr den = wire(p, WIRE.W_L) + wire(p, WIRE.SIGMA_1) * rp.beta + rp.gamma; + den = den * (wire(p, WIRE.W_R) + wire(p, WIRE.SIGMA_2) * rp.beta + rp.gamma); + den = den * (wire(p, WIRE.W_O) + wire(p, WIRE.SIGMA_3) * rp.beta + rp.gamma); + den = den * (wire(p, WIRE.W_4) + wire(p, WIRE.SIGMA_4) * rp.beta + rp.gamma); + + grand_product_denominator = den; + } + + // Contribution 2 + { + Fr acc = (wire(p, WIRE.Z_PERM) + wire(p, WIRE.LAGRANGE_FIRST)) * grand_product_numerator; + + acc = acc + - ( + (wire(p, WIRE.Z_PERM_SHIFT) + (wire(p, WIRE.LAGRANGE_LAST) * rp.publicInputsDelta)) + * grand_product_denominator + ); + acc = acc * domainSep; + evals[2] = acc; + } + + // Contribution 3 + { + Fr acc = (wire(p, WIRE.LAGRANGE_LAST) * wire(p, WIRE.Z_PERM_SHIFT)) * domainSep; + evals[3] = acc; + } + } + + function accumulateLogDerivativeLookupRelation( + Fr[NUMBER_OF_ENTITIES] memory p, + Honk.RelationParameters memory rp, + Fr[NUMBER_OF_SUBRELATIONS] memory evals, + Fr domainSep + ) internal pure { + Fr write_term; + Fr read_term; + + // Calculate the write term (the table accumulation) + { + write_term = wire(p, WIRE.TABLE_1) + rp.gamma + (wire(p, WIRE.TABLE_2) * rp.eta) + + (wire(p, WIRE.TABLE_3) * rp.etaTwo) + (wire(p, WIRE.TABLE_4) * rp.etaThree); + } + + // Calculate the write term + { + Fr derived_entry_1 = wire(p, WIRE.W_L) + rp.gamma + (wire(p, WIRE.Q_R) * wire(p, WIRE.W_L_SHIFT)); + Fr derived_entry_2 = wire(p, WIRE.W_R) + wire(p, WIRE.Q_M) * wire(p, WIRE.W_R_SHIFT); + Fr derived_entry_3 = wire(p, WIRE.W_O) + wire(p, WIRE.Q_C) * wire(p, WIRE.W_O_SHIFT); + + read_term = derived_entry_1 + (derived_entry_2 * rp.eta) + (derived_entry_3 * rp.etaTwo) + + (wire(p, WIRE.Q_O) * rp.etaThree); + } + + Fr read_inverse = wire(p, WIRE.LOOKUP_INVERSES) * write_term; + Fr write_inverse = wire(p, WIRE.LOOKUP_INVERSES) * read_term; + + Fr inverse_exists_xor = wire(p, WIRE.LOOKUP_READ_TAGS) + wire(p, WIRE.Q_LOOKUP) + - (wire(p, WIRE.LOOKUP_READ_TAGS) * wire(p, WIRE.Q_LOOKUP)); + + // Inverse calculated correctly relation + Fr accumulatorNone = read_term * write_term * wire(p, WIRE.LOOKUP_INVERSES) - inverse_exists_xor; + accumulatorNone = accumulatorNone * domainSep; + + // Inverse + Fr accumulatorOne = wire(p, WIRE.Q_LOOKUP) * read_inverse - wire(p, WIRE.LOOKUP_READ_COUNTS) * write_inverse; + + evals[4] = accumulatorNone; + evals[5] = accumulatorOne; + } + + function accumulateDeltaRangeRelation( + Fr[NUMBER_OF_ENTITIES] memory p, + Fr[NUMBER_OF_SUBRELATIONS] memory evals, + Fr domainSep + ) internal pure { + Fr minus_one = Fr.wrap(0) - Fr.wrap(1); + Fr minus_two = Fr.wrap(0) - Fr.wrap(2); + Fr minus_three = Fr.wrap(0) - Fr.wrap(3); + + // Compute wire differences + Fr delta_1 = wire(p, WIRE.W_R) - wire(p, WIRE.W_L); + Fr delta_2 = wire(p, WIRE.W_O) - wire(p, WIRE.W_R); + Fr delta_3 = wire(p, WIRE.W_4) - wire(p, WIRE.W_O); + Fr delta_4 = wire(p, WIRE.W_L_SHIFT) - wire(p, WIRE.W_4); + + // Contribution 6 + { + Fr acc = delta_1; + acc = acc * (delta_1 + minus_one); + acc = acc * (delta_1 + minus_two); + acc = acc * (delta_1 + minus_three); + acc = acc * wire(p, WIRE.Q_RANGE); + acc = acc * domainSep; + evals[6] = acc; + } + + // Contribution 7 + { + Fr acc = delta_2; + acc = acc * (delta_2 + minus_one); + acc = acc * (delta_2 + minus_two); + acc = acc * (delta_2 + minus_three); + acc = acc * wire(p, WIRE.Q_RANGE); + acc = acc * domainSep; + evals[7] = acc; + } + + // Contribution 8 + { + Fr acc = delta_3; + acc = acc * (delta_3 + minus_one); + acc = acc * (delta_3 + minus_two); + acc = acc * (delta_3 + minus_three); + acc = acc * wire(p, WIRE.Q_RANGE); + acc = acc * domainSep; + evals[8] = acc; + } + + // Contribution 9 + { + Fr acc = delta_4; + acc = acc * (delta_4 + minus_one); + acc = acc * (delta_4 + minus_two); + acc = acc * (delta_4 + minus_three); + acc = acc * wire(p, WIRE.Q_RANGE); + acc = acc * domainSep; + evals[9] = acc; + } + } + + struct EllipticParams { + // Points + Fr x_1; + Fr y_1; + Fr x_2; + Fr y_2; + Fr y_3; + Fr x_3; + // push accumulators into memory + Fr x_double_identity; + } + + function accumulateEllipticRelation( + Fr[NUMBER_OF_ENTITIES] memory p, + Fr[NUMBER_OF_SUBRELATIONS] memory evals, + Fr domainSep + ) internal pure { + EllipticParams memory ep; + ep.x_1 = wire(p, WIRE.W_R); + ep.y_1 = wire(p, WIRE.W_O); + + ep.x_2 = wire(p, WIRE.W_L_SHIFT); + ep.y_2 = wire(p, WIRE.W_4_SHIFT); + ep.y_3 = wire(p, WIRE.W_O_SHIFT); + ep.x_3 = wire(p, WIRE.W_R_SHIFT); + + Fr q_sign = wire(p, WIRE.Q_L); + Fr q_is_double = wire(p, WIRE.Q_M); + + // Contribution 10 point addition, x-coordinate check + // q_elliptic * (x3 + x2 + x1)(x2 - x1)(x2 - x1) - y2^2 - y1^2 + 2(y2y1)*q_sign = 0 + Fr x_diff = (ep.x_2 - ep.x_1); + Fr y1_sqr = (ep.y_1 * ep.y_1); + { + // Move to top + Fr partialEval = domainSep; + + Fr y2_sqr = (ep.y_2 * ep.y_2); + Fr y1y2 = ep.y_1 * ep.y_2 * q_sign; + Fr x_add_identity = (ep.x_3 + ep.x_2 + ep.x_1); + x_add_identity = x_add_identity * x_diff * x_diff; + x_add_identity = x_add_identity - y2_sqr - y1_sqr + y1y2 + y1y2; + + evals[10] = x_add_identity * partialEval * wire(p, WIRE.Q_ELLIPTIC) * (Fr.wrap(1) - q_is_double); + } + + // Contribution 11 point addition, x-coordinate check + // q_elliptic * (q_sign * y1 + y3)(x2 - x1) + (x3 - x1)(y2 - q_sign * y1) = 0 + { + Fr y1_plus_y3 = ep.y_1 + ep.y_3; + Fr y_diff = ep.y_2 * q_sign - ep.y_1; + Fr y_add_identity = y1_plus_y3 * x_diff + (ep.x_3 - ep.x_1) * y_diff; + evals[11] = y_add_identity * domainSep * wire(p, WIRE.Q_ELLIPTIC) * (Fr.wrap(1) - q_is_double); + } + + // Contribution 10 point doubling, x-coordinate check + // (x3 + x1 + x1) (4y1*y1) - 9 * x1 * x1 * x1 * x1 = 0 + // N.B. we're using the equivalence x1*x1*x1 === y1*y1 - curve_b to reduce degree by 1 + { + Fr x_pow_4 = (y1_sqr + GRUMPKIN_CURVE_B_PARAMETER_NEGATED) * ep.x_1; + Fr y1_sqr_mul_4 = y1_sqr + y1_sqr; + y1_sqr_mul_4 = y1_sqr_mul_4 + y1_sqr_mul_4; + Fr x1_pow_4_mul_9 = x_pow_4 * Fr.wrap(9); + + // NOTE: pushed into memory (stack >:'( ) + ep.x_double_identity = (ep.x_3 + ep.x_1 + ep.x_1) * y1_sqr_mul_4 - x1_pow_4_mul_9; + + Fr acc = ep.x_double_identity * domainSep * wire(p, WIRE.Q_ELLIPTIC) * q_is_double; + evals[10] = evals[10] + acc; + } + + // Contribution 11 point doubling, y-coordinate check + // (y1 + y1) (2y1) - (3 * x1 * x1)(x1 - x3) = 0 + { + Fr x1_sqr_mul_3 = (ep.x_1 + ep.x_1 + ep.x_1) * ep.x_1; + Fr y_double_identity = x1_sqr_mul_3 * (ep.x_1 - ep.x_3) - (ep.y_1 + ep.y_1) * (ep.y_1 + ep.y_3); + evals[11] = evals[11] + y_double_identity * domainSep * wire(p, WIRE.Q_ELLIPTIC) * q_is_double; + } + } + + // Constants for the auxiliary relation + Fr constant LIMB_SIZE = Fr.wrap(uint256(1) << 68); + Fr constant SUBLIMB_SHIFT = Fr.wrap(uint256(1) << 14); + + // Parameters used within the Auxiliary Relation + // A struct is used to work around stack too deep. This relation has alot of variables + struct AuxParams { + Fr limb_subproduct; + Fr non_native_field_gate_1; + Fr non_native_field_gate_2; + Fr non_native_field_gate_3; + Fr limb_accumulator_1; + Fr limb_accumulator_2; + Fr memory_record_check; + Fr partial_record_check; + Fr next_gate_access_type; + Fr record_delta; + Fr index_delta; + Fr adjacent_values_match_if_adjacent_indices_match; + Fr adjacent_values_match_if_adjacent_indices_match_and_next_access_is_a_read_operation; + Fr access_check; + Fr next_gate_access_type_is_boolean; + Fr ROM_consistency_check_identity; + Fr RAM_consistency_check_identity; + Fr timestamp_delta; + Fr RAM_timestamp_check_identity; + Fr memory_identity; + Fr index_is_monotonically_increasing; + Fr auxiliary_identity; + } + + function accumulateAuxillaryRelation( + Fr[NUMBER_OF_ENTITIES] memory p, + Honk.RelationParameters memory rp, + Fr[NUMBER_OF_SUBRELATIONS] memory evals, + Fr domainSep + ) internal pure { + AuxParams memory ap; + + /** + * Contribution 12 + * Non native field arithmetic gate 2 + * deg 4 + * + * _ _ + * / _ _ _ 14 \ + * q_2 . q_4 | (w_1 . w_2) + (w_1 . w_2) + (w_1 . w_4 + w_2 . w_3 - w_3) . 2 - w_3 - w_4 | + * \_ _/ + * + * + */ + ap.limb_subproduct = wire(p, WIRE.W_L) * wire(p, WIRE.W_R_SHIFT) + wire(p, WIRE.W_L_SHIFT) * wire(p, WIRE.W_R); + ap.non_native_field_gate_2 = + (wire(p, WIRE.W_L) * wire(p, WIRE.W_4) + wire(p, WIRE.W_R) * wire(p, WIRE.W_O) - wire(p, WIRE.W_O_SHIFT)); + ap.non_native_field_gate_2 = ap.non_native_field_gate_2 * LIMB_SIZE; + ap.non_native_field_gate_2 = ap.non_native_field_gate_2 - wire(p, WIRE.W_4_SHIFT); + ap.non_native_field_gate_2 = ap.non_native_field_gate_2 + ap.limb_subproduct; + ap.non_native_field_gate_2 = ap.non_native_field_gate_2 * wire(p, WIRE.Q_4); + + ap.limb_subproduct = ap.limb_subproduct * LIMB_SIZE; + ap.limb_subproduct = ap.limb_subproduct + (wire(p, WIRE.W_L_SHIFT) * wire(p, WIRE.W_R_SHIFT)); + ap.non_native_field_gate_1 = ap.limb_subproduct; + ap.non_native_field_gate_1 = ap.non_native_field_gate_1 - (wire(p, WIRE.W_O) + wire(p, WIRE.W_4)); + ap.non_native_field_gate_1 = ap.non_native_field_gate_1 * wire(p, WIRE.Q_O); + + ap.non_native_field_gate_3 = ap.limb_subproduct; + ap.non_native_field_gate_3 = ap.non_native_field_gate_3 + wire(p, WIRE.W_4); + ap.non_native_field_gate_3 = ap.non_native_field_gate_3 - (wire(p, WIRE.W_O_SHIFT) + wire(p, WIRE.W_4_SHIFT)); + ap.non_native_field_gate_3 = ap.non_native_field_gate_3 * wire(p, WIRE.Q_M); + + Fr non_native_field_identity = + ap.non_native_field_gate_1 + ap.non_native_field_gate_2 + ap.non_native_field_gate_3; + non_native_field_identity = non_native_field_identity * wire(p, WIRE.Q_R); + + // ((((w2' * 2^14 + w1') * 2^14 + w3) * 2^14 + w2) * 2^14 + w1 - w4) * qm + // deg 2 + ap.limb_accumulator_1 = wire(p, WIRE.W_R_SHIFT) * SUBLIMB_SHIFT; + ap.limb_accumulator_1 = ap.limb_accumulator_1 + wire(p, WIRE.W_L_SHIFT); + ap.limb_accumulator_1 = ap.limb_accumulator_1 * SUBLIMB_SHIFT; + ap.limb_accumulator_1 = ap.limb_accumulator_1 + wire(p, WIRE.W_O); + ap.limb_accumulator_1 = ap.limb_accumulator_1 * SUBLIMB_SHIFT; + ap.limb_accumulator_1 = ap.limb_accumulator_1 + wire(p, WIRE.W_R); + ap.limb_accumulator_1 = ap.limb_accumulator_1 * SUBLIMB_SHIFT; + ap.limb_accumulator_1 = ap.limb_accumulator_1 + wire(p, WIRE.W_L); + ap.limb_accumulator_1 = ap.limb_accumulator_1 - wire(p, WIRE.W_4); + ap.limb_accumulator_1 = ap.limb_accumulator_1 * wire(p, WIRE.Q_4); + + // ((((w3' * 2^14 + w2') * 2^14 + w1') * 2^14 + w4) * 2^14 + w3 - w4') * qm + // deg 2 + ap.limb_accumulator_2 = wire(p, WIRE.W_O_SHIFT) * SUBLIMB_SHIFT; + ap.limb_accumulator_2 = ap.limb_accumulator_2 + wire(p, WIRE.W_R_SHIFT); + ap.limb_accumulator_2 = ap.limb_accumulator_2 * SUBLIMB_SHIFT; + ap.limb_accumulator_2 = ap.limb_accumulator_2 + wire(p, WIRE.W_L_SHIFT); + ap.limb_accumulator_2 = ap.limb_accumulator_2 * SUBLIMB_SHIFT; + ap.limb_accumulator_2 = ap.limb_accumulator_2 + wire(p, WIRE.W_4); + ap.limb_accumulator_2 = ap.limb_accumulator_2 * SUBLIMB_SHIFT; + ap.limb_accumulator_2 = ap.limb_accumulator_2 + wire(p, WIRE.W_O); + ap.limb_accumulator_2 = ap.limb_accumulator_2 - wire(p, WIRE.W_4_SHIFT); + ap.limb_accumulator_2 = ap.limb_accumulator_2 * wire(p, WIRE.Q_M); + + Fr limb_accumulator_identity = ap.limb_accumulator_1 + ap.limb_accumulator_2; + limb_accumulator_identity = limb_accumulator_identity * wire(p, WIRE.Q_O); // deg 3 + + /** + * MEMORY + * + * A RAM memory record contains a tuple of the following fields: + * * i: `index` of memory cell being accessed + * * t: `timestamp` of memory cell being accessed (used for RAM, set to 0 for ROM) + * * v: `value` of memory cell being accessed + * * a: `access` type of record. read: 0 = read, 1 = write + * * r: `record` of memory cell. record = access + index * eta + timestamp * eta_two + value * eta_three + * + * A ROM memory record contains a tuple of the following fields: + * * i: `index` of memory cell being accessed + * * v: `value1` of memory cell being accessed (ROM tables can store up to 2 values per index) + * * v2:`value2` of memory cell being accessed (ROM tables can store up to 2 values per index) + * * r: `record` of memory cell. record = index * eta + value2 * eta_two + value1 * eta_three + * + * When performing a read/write access, the values of i, t, v, v2, a, r are stored in the following wires + + * selectors, depending on whether the gate is a RAM read/write or a ROM read + * + * | gate type | i | v2/t | v | a | r | + * | --------- | -- | ----- | -- | -- | -- | + * | ROM | w1 | w2 | w3 | -- | w4 | + * | RAM | w1 | w2 | w3 | qc | w4 | + * + * (for accesses where `index` is a circuit constant, it is assumed the circuit will apply a copy constraint on + * `w2` to fix its value) + * + * + */ + + /** + * Memory Record Check + * Partial degree: 1 + * Total degree: 4 + * + * A ROM/ROM access gate can be evaluated with the identity: + * + * qc + w1 \eta + w2 \eta_two + w3 \eta_three - w4 = 0 + * + * For ROM gates, qc = 0 + */ + ap.memory_record_check = wire(p, WIRE.W_O) * rp.etaThree; + ap.memory_record_check = ap.memory_record_check + (wire(p, WIRE.W_R) * rp.etaTwo); + ap.memory_record_check = ap.memory_record_check + (wire(p, WIRE.W_L) * rp.eta); + ap.memory_record_check = ap.memory_record_check + wire(p, WIRE.Q_C); + ap.partial_record_check = ap.memory_record_check; // used in RAM consistency check; deg 1 or 4 + ap.memory_record_check = ap.memory_record_check - wire(p, WIRE.W_4); + + /** + * Contribution 13 & 14 + * ROM Consistency Check + * Partial degree: 1 + * Total degree: 4 + * + * For every ROM read, a set equivalence check is applied between the record witnesses, and a second set of + * records that are sorted. + * + * We apply the following checks for the sorted records: + * + * 1. w1, w2, w3 correctly map to 'index', 'v1, 'v2' for a given record value at w4 + * 2. index values for adjacent records are monotonically increasing + * 3. if, at gate i, index_i == index_{i + 1}, then value1_i == value1_{i + 1} and value2_i == value2_{i + 1} + * + */ + ap.index_delta = wire(p, WIRE.W_L_SHIFT) - wire(p, WIRE.W_L); + ap.record_delta = wire(p, WIRE.W_4_SHIFT) - wire(p, WIRE.W_4); + + ap.index_is_monotonically_increasing = ap.index_delta * ap.index_delta - ap.index_delta; // deg 2 + + ap.adjacent_values_match_if_adjacent_indices_match = (ap.index_delta * MINUS_ONE + Fr.wrap(1)) * ap.record_delta; // deg 2 + + evals[13] = ap.adjacent_values_match_if_adjacent_indices_match * (wire(p, WIRE.Q_L) * wire(p, WIRE.Q_R)) + * (wire(p, WIRE.Q_AUX) * domainSep); // deg 5 + evals[14] = ap.index_is_monotonically_increasing * (wire(p, WIRE.Q_L) * wire(p, WIRE.Q_R)) + * (wire(p, WIRE.Q_AUX) * domainSep); // deg 5 + + ap.ROM_consistency_check_identity = ap.memory_record_check * (wire(p, WIRE.Q_L) * wire(p, WIRE.Q_R)); // deg 3 or 7 + + /** + * Contributions 15,16,17 + * RAM Consistency Check + * + * The 'access' type of the record is extracted with the expression `w_4 - ap.partial_record_check` + * (i.e. for an honest Prover `w1 * eta + w2 * eta^2 + w3 * eta^3 - w4 = access`. + * This is validated by requiring `access` to be boolean + * + * For two adjacent entries in the sorted list if _both_ + * A) index values match + * B) adjacent access value is 0 (i.e. next gate is a READ) + * then + * C) both values must match. + * The gate boolean check is + * (A && B) => C === !(A && B) || C === !A || !B || C + * + * N.B. it is the responsibility of the circuit writer to ensure that every RAM cell is initialized + * with a WRITE operation. + */ + Fr access_type = (wire(p, WIRE.W_4) - ap.partial_record_check); // will be 0 or 1 for honest Prover; deg 1 or 4 + ap.access_check = access_type * access_type - access_type; // check value is 0 or 1; deg 2 or 8 + + ap.next_gate_access_type = wire(p, WIRE.W_O_SHIFT) * rp.etaThree; + ap.next_gate_access_type = ap.next_gate_access_type + (wire(p, WIRE.W_R_SHIFT) * rp.etaTwo); + ap.next_gate_access_type = ap.next_gate_access_type + (wire(p, WIRE.W_L_SHIFT) * rp.eta); + ap.next_gate_access_type = wire(p, WIRE.W_4_SHIFT) - ap.next_gate_access_type; + + Fr value_delta = wire(p, WIRE.W_O_SHIFT) - wire(p, WIRE.W_O); + ap.adjacent_values_match_if_adjacent_indices_match_and_next_access_is_a_read_operation = ( + ap.index_delta * MINUS_ONE + Fr.wrap(1) + ) * value_delta * (ap.next_gate_access_type * MINUS_ONE + Fr.wrap(1)); // deg 3 or 6 + + // We can't apply the RAM consistency check identity on the final entry in the sorted list (the wires in the + // next gate would make the identity fail). We need to validate that its 'access type' bool is correct. Can't + // do with an arithmetic gate because of the `eta` factors. We need to check that the *next* gate's access + // type is correct, to cover this edge case + // deg 2 or 4 + ap.next_gate_access_type_is_boolean = + ap.next_gate_access_type * ap.next_gate_access_type - ap.next_gate_access_type; + + // Putting it all together... + evals[15] = ap.adjacent_values_match_if_adjacent_indices_match_and_next_access_is_a_read_operation + * (wire(p, WIRE.Q_ARITH)) * (wire(p, WIRE.Q_AUX) * domainSep); // deg 5 or 8 + evals[16] = ap.index_is_monotonically_increasing * (wire(p, WIRE.Q_ARITH)) * (wire(p, WIRE.Q_AUX) * domainSep); // deg 4 + evals[17] = ap.next_gate_access_type_is_boolean * (wire(p, WIRE.Q_ARITH)) * (wire(p, WIRE.Q_AUX) * domainSep); // deg 4 or 6 + + ap.RAM_consistency_check_identity = ap.access_check * (wire(p, WIRE.Q_ARITH)); // deg 3 or 9 + + /** + * RAM Timestamp Consistency Check + * + * | w1 | w2 | w3 | w4 | + * | index | timestamp | timestamp_check | -- | + * + * Let delta_index = index_{i + 1} - index_{i} + * + * Iff delta_index == 0, timestamp_check = timestamp_{i + 1} - timestamp_i + * Else timestamp_check = 0 + */ + ap.timestamp_delta = wire(p, WIRE.W_R_SHIFT) - wire(p, WIRE.W_R); + ap.RAM_timestamp_check_identity = + (ap.index_delta * MINUS_ONE + Fr.wrap(1)) * ap.timestamp_delta - wire(p, WIRE.W_O); // deg 3 + + /** + * Complete Contribution 12 + * The complete RAM/ROM memory identity + * Partial degree: + */ + ap.memory_identity = ap.ROM_consistency_check_identity; // deg 3 or 6 + ap.memory_identity = + ap.memory_identity + ap.RAM_timestamp_check_identity * (wire(p, WIRE.Q_4) * wire(p, WIRE.Q_L)); // deg 4 + ap.memory_identity = ap.memory_identity + ap.memory_record_check * (wire(p, WIRE.Q_M) * wire(p, WIRE.Q_L)); // deg 3 or 6 + ap.memory_identity = ap.memory_identity + ap.RAM_consistency_check_identity; // deg 3 or 9 + + // (deg 3 or 9) + (deg 4) + (deg 3) + ap.auxiliary_identity = ap.memory_identity + non_native_field_identity + limb_accumulator_identity; + ap.auxiliary_identity = ap.auxiliary_identity * (wire(p, WIRE.Q_AUX) * domainSep); // deg 4 or 10 + evals[12] = ap.auxiliary_identity; + } + + struct PoseidonExternalParams { + Fr s1; + Fr s2; + Fr s3; + Fr s4; + Fr u1; + Fr u2; + Fr u3; + Fr u4; + Fr t0; + Fr t1; + Fr t2; + Fr t3; + Fr v1; + Fr v2; + Fr v3; + Fr v4; + Fr q_pos_by_scaling; + } + + function accumulatePoseidonExternalRelation( + Fr[NUMBER_OF_ENTITIES] memory p, + Fr[NUMBER_OF_SUBRELATIONS] memory evals, + Fr domainSep + ) internal pure { + PoseidonExternalParams memory ep; + + ep.s1 = wire(p, WIRE.W_L) + wire(p, WIRE.Q_L); + ep.s2 = wire(p, WIRE.W_R) + wire(p, WIRE.Q_R); + ep.s3 = wire(p, WIRE.W_O) + wire(p, WIRE.Q_O); + ep.s4 = wire(p, WIRE.W_4) + wire(p, WIRE.Q_4); + + ep.u1 = ep.s1 * ep.s1 * ep.s1 * ep.s1 * ep.s1; + ep.u2 = ep.s2 * ep.s2 * ep.s2 * ep.s2 * ep.s2; + ep.u3 = ep.s3 * ep.s3 * ep.s3 * ep.s3 * ep.s3; + ep.u4 = ep.s4 * ep.s4 * ep.s4 * ep.s4 * ep.s4; + // matrix mul v = M_E * u with 14 additions + ep.t0 = ep.u1 + ep.u2; // u_1 + u_2 + ep.t1 = ep.u3 + ep.u4; // u_3 + u_4 + ep.t2 = ep.u2 + ep.u2 + ep.t1; // 2u_2 + // ep.t2 += ep.t1; // 2u_2 + u_3 + u_4 + ep.t3 = ep.u4 + ep.u4 + ep.t0; // 2u_4 + // ep.t3 += ep.t0; // u_1 + u_2 + 2u_4 + ep.v4 = ep.t1 + ep.t1; + ep.v4 = ep.v4 + ep.v4 + ep.t3; + // ep.v4 += ep.t3; // u_1 + u_2 + 4u_3 + 6u_4 + ep.v2 = ep.t0 + ep.t0; + ep.v2 = ep.v2 + ep.v2 + ep.t2; + // ep.v2 += ep.t2; // 4u_1 + 6u_2 + u_3 + u_4 + ep.v1 = ep.t3 + ep.v2; // 5u_1 + 7u_2 + u_3 + 3u_4 + ep.v3 = ep.t2 + ep.v4; // u_1 + 3u_2 + 5u_3 + 7u_4 + + ep.q_pos_by_scaling = wire(p, WIRE.Q_POSEIDON2_EXTERNAL) * domainSep; + evals[18] = evals[18] + ep.q_pos_by_scaling * (ep.v1 - wire(p, WIRE.W_L_SHIFT)); + + evals[19] = evals[19] + ep.q_pos_by_scaling * (ep.v2 - wire(p, WIRE.W_R_SHIFT)); + + evals[20] = evals[20] + ep.q_pos_by_scaling * (ep.v3 - wire(p, WIRE.W_O_SHIFT)); + + evals[21] = evals[21] + ep.q_pos_by_scaling * (ep.v4 - wire(p, WIRE.W_4_SHIFT)); + } + + struct PoseidonInternalParams { + Fr u1; + Fr u2; + Fr u3; + Fr u4; + Fr u_sum; + Fr v1; + Fr v2; + Fr v3; + Fr v4; + Fr s1; + Fr q_pos_by_scaling; + } + + function accumulatePoseidonInternalRelation( + Fr[NUMBER_OF_ENTITIES] memory p, + Fr[NUMBER_OF_SUBRELATIONS] memory evals, + Fr domainSep + ) internal pure { + PoseidonInternalParams memory ip; + + Fr[4] memory INTERNAL_MATRIX_DIAGONAL = [ + FrLib.from(0x10dc6e9c006ea38b04b1e03b4bd9490c0d03f98929ca1d7fb56821fd19d3b6e7), + FrLib.from(0x0c28145b6a44df3e0149b3d0a30b3bb599df9756d4dd9b84a86b38cfb45a740b), + FrLib.from(0x00544b8338791518b2c7645a50392798b21f75bb60e3596170067d00141cac15), + FrLib.from(0x222c01175718386f2e2e82eb122789e352e105a3b8fa852613bc534433ee428b) + ]; + + // add round constants + ip.s1 = wire(p, WIRE.W_L) + wire(p, WIRE.Q_L); + + // apply s-box round + ip.u1 = ip.s1 * ip.s1 * ip.s1 * ip.s1 * ip.s1; + ip.u2 = wire(p, WIRE.W_R); + ip.u3 = wire(p, WIRE.W_O); + ip.u4 = wire(p, WIRE.W_4); + + // matrix mul with v = M_I * u 4 muls and 7 additions + ip.u_sum = ip.u1 + ip.u2 + ip.u3 + ip.u4; + + ip.q_pos_by_scaling = wire(p, WIRE.Q_POSEIDON2_INTERNAL) * domainSep; + + ip.v1 = ip.u1 * INTERNAL_MATRIX_DIAGONAL[0] + ip.u_sum; + evals[22] = evals[22] + ip.q_pos_by_scaling * (ip.v1 - wire(p, WIRE.W_L_SHIFT)); + + ip.v2 = ip.u2 * INTERNAL_MATRIX_DIAGONAL[1] + ip.u_sum; + evals[23] = evals[23] + ip.q_pos_by_scaling * (ip.v2 - wire(p, WIRE.W_R_SHIFT)); + + ip.v3 = ip.u3 * INTERNAL_MATRIX_DIAGONAL[2] + ip.u_sum; + evals[24] = evals[24] + ip.q_pos_by_scaling * (ip.v3 - wire(p, WIRE.W_O_SHIFT)); + + ip.v4 = ip.u4 * INTERNAL_MATRIX_DIAGONAL[3] + ip.u_sum; + evals[25] = evals[25] + ip.q_pos_by_scaling * (ip.v4 - wire(p, WIRE.W_4_SHIFT)); + } + + function scaleAndBatchSubrelations( + Fr[NUMBER_OF_SUBRELATIONS] memory evaluations, + Fr[NUMBER_OF_ALPHAS] memory subrelationChallenges + ) internal pure returns (Fr accumulator) { + accumulator = accumulator + evaluations[0]; + + for (uint256 i = 1; i < NUMBER_OF_SUBRELATIONS; ++i) { + accumulator = accumulator + evaluations[i] * subrelationChallenges[i - 1]; + } + } +} + +struct ShpleminiIntermediates { + Fr unshiftedScalar; + Fr shiftedScalar; + // Scalar to be multiplied by [1]ā‚ + Fr constantTermAccumulator; + // Accumulator for powers of rho + Fr batchingChallenge; + // Linear combination of multilinear (sumcheck) evaluations and powers of rho + Fr batchedEvaluation; + // 1/(z - r^{2^i}) for i = 0, ..., logSize, dynamically updated + Fr posInvertedDenominator; + // 1/(z + r^{2^i}) for i = 0, ..., logSize, dynamically updated + Fr negInvertedDenominator; + // v^{2i} * 1/(z - r^{2^i}) + Fr scalingFactorPos; + // v^{2i+1} * 1/(z + r^{2^i}) + Fr scalingFactorNeg; + // // Fold_i(r^{2^i}) reconstructed by Verifier + // Fr[CONST_PROOF_SIZE_LOG_N] foldPosEvaluations; +} + +library CommitmentSchemeLib { + using FrLib for Fr; + + function computeSquares(Fr r) internal pure returns (Fr[CONST_PROOF_SIZE_LOG_N] memory squares) { + squares[0] = r; + for (uint256 i = 1; i < CONST_PROOF_SIZE_LOG_N; ++i) { + squares[i] = squares[i - 1].sqr(); + } + } + + // Compute the evaluations A_l(r^{2^l}) for l = 0, ..., m-1 + function computeFoldPosEvaluations( + Fr[CONST_PROOF_SIZE_LOG_N] memory sumcheckUChallenges, + Fr batchedEvalAccumulator, + Fr[CONST_PROOF_SIZE_LOG_N] memory geminiEvaluations, + Fr[CONST_PROOF_SIZE_LOG_N] memory geminiEvalChallengePowers, + uint256 logSize + ) internal view returns (Fr[CONST_PROOF_SIZE_LOG_N] memory foldPosEvaluations) { + for (uint256 i = CONST_PROOF_SIZE_LOG_N; i > 0; --i) { + Fr challengePower = geminiEvalChallengePowers[i - 1]; + Fr u = sumcheckUChallenges[i - 1]; + + Fr batchedEvalRoundAcc = ( + (challengePower * batchedEvalAccumulator * Fr.wrap(2)) + - geminiEvaluations[i - 1] * (challengePower * (Fr.wrap(1) - u) - u) + ); + // Divide by the denominator + batchedEvalRoundAcc = batchedEvalRoundAcc * (challengePower * (Fr.wrap(1) - u) + u).invert(); + + if (i <= logSize) { + batchedEvalAccumulator = batchedEvalRoundAcc; + foldPosEvaluations[i - 1] = batchedEvalRoundAcc; + } + } + + } +} + +interface IVerifier { + function verify(bytes calldata _proof, bytes32[] calldata _publicInputs) external view returns (bool); +} + + +abstract contract BaseHonkVerifier is IVerifier { + using FrLib for Fr; + + uint256 immutable n; + uint256 immutable logN; + uint256 immutable numPublicInputs; + + constructor(uint256 _n, uint256 _logN, uint256 _numPublicInputs) { + n = _n; + logN = _logN; + numPublicInputs = _numPublicInputs; + } + + error ProofLengthWrong(); + error PublicInputsLengthWrong(); + error SumcheckFailed(); + error ShpleminiFailed(); + + // Number of field elements in a ultra honk zero knowledge proof + uint256 constant PROOF_SIZE = 440; + + function loadVerificationKey() internal pure virtual returns (Honk.VerificationKey memory); + + function verify(bytes calldata proof, bytes32[] calldata publicInputs) public view override returns (bool) { + // Check the received proof is the expected size where each field element is 32 bytes + if (proof.length != PROOF_SIZE * 32) { + revert ProofLengthWrong(); + } + + Honk.VerificationKey memory vk = loadVerificationKey(); + Honk.Proof memory p = TranscriptLib.loadProof(proof); + + if (publicInputs.length != vk.publicInputsSize) { + revert PublicInputsLengthWrong(); + } + + // Generate the fiat shamir challenges for the whole protocol + // TODO(https://github.com/AztecProtocol/barretenberg/issues/1281): Add pubInputsOffset to VK or remove entirely. + Transcript memory t = TranscriptLib.generateTranscript(p, publicInputs, vk.circuitSize, vk.publicInputsSize, /*pubInputsOffset=*/1); + + // Derive public input delta + // TODO(https://github.com/AztecProtocol/barretenberg/issues/1281): Add pubInputsOffset to VK or remove entirely. + t.relationParameters.publicInputsDelta = computePublicInputDelta( + publicInputs, t.relationParameters.beta, t.relationParameters.gamma, /*pubInputsOffset=*/1 + ); + + // Sumcheck + bool sumcheckVerified = verifySumcheck(p, t); + if (!sumcheckVerified) revert SumcheckFailed(); + + bool shpleminiVerified = verifyShplemini(p, vk, t); + if (!shpleminiVerified) revert ShpleminiFailed(); + + return sumcheckVerified && shpleminiVerified; // Boolean condition not required - nice for vanity :) + } + + function computePublicInputDelta(bytes32[] memory publicInputs, Fr beta, Fr gamma, uint256 offset) + internal + view + returns (Fr publicInputDelta) + { + Fr numerator = Fr.wrap(1); + Fr denominator = Fr.wrap(1); + + Fr numeratorAcc = gamma + (beta * FrLib.from(n + offset)); + Fr denominatorAcc = gamma - (beta * FrLib.from(offset + 1)); + + { + for (uint256 i = 0; i < numPublicInputs; i++) { + Fr pubInput = FrLib.fromBytes32(publicInputs[i]); + + numerator = numerator * (numeratorAcc + pubInput); + denominator = denominator * (denominatorAcc + pubInput); + + numeratorAcc = numeratorAcc + beta; + denominatorAcc = denominatorAcc - beta; + } + } + + // Fr delta = numerator / denominator; // TOOO: batch invert later? + publicInputDelta = FrLib.div(numerator, denominator); + } + + function verifySumcheck(Honk.Proof memory proof, Transcript memory tp) internal view returns (bool verified) { + Fr roundTarget; + Fr powPartialEvaluation = Fr.wrap(1); + + // We perform sumcheck reductions over log n rounds ( the multivariate degree ) + for (uint256 round; round < logN; ++round) { + Fr[BATCHED_RELATION_PARTIAL_LENGTH] memory roundUnivariate = proof.sumcheckUnivariates[round]; + bool valid = checkSum(roundUnivariate, roundTarget); + if (!valid) revert SumcheckFailed(); + + Fr roundChallenge = tp.sumCheckUChallenges[round]; + + // Update the round target for the next rounf + roundTarget = computeNextTargetSum(roundUnivariate, roundChallenge); + powPartialEvaluation = partiallyEvaluatePOW(tp.gateChallenges[round], powPartialEvaluation, roundChallenge); + } + + // Last round + Fr grandHonkRelationSum = + RelationsLib.accumulateRelationEvaluations(proof.sumcheckEvaluations, tp.relationParameters, tp.alphas, powPartialEvaluation); + verified = (grandHonkRelationSum == roundTarget); + } + + function checkSum(Fr[BATCHED_RELATION_PARTIAL_LENGTH] memory roundUnivariate, Fr roundTarget) + internal + pure + returns (bool checked) + { + Fr totalSum = roundUnivariate[0] + roundUnivariate[1]; + checked = totalSum == roundTarget; + } + + // Return the new target sum for the next sumcheck round + function computeNextTargetSum(Fr[BATCHED_RELATION_PARTIAL_LENGTH] memory roundUnivariates, Fr roundChallenge) + internal + view + returns (Fr targetSum) + { + // TODO: inline + Fr[BATCHED_RELATION_PARTIAL_LENGTH] memory BARYCENTRIC_LAGRANGE_DENOMINATORS = [ + Fr.wrap(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593efffec51), + Fr.wrap(0x00000000000000000000000000000000000000000000000000000000000002d0), + Fr.wrap(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593efffff11), + Fr.wrap(0x0000000000000000000000000000000000000000000000000000000000000090), + Fr.wrap(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593efffff71), + Fr.wrap(0x00000000000000000000000000000000000000000000000000000000000000f0), + Fr.wrap(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593effffd31), + Fr.wrap(0x00000000000000000000000000000000000000000000000000000000000013b0) + ]; + + // To compute the next target sum, we evaluate the given univariate at a point u (challenge). + + // Performing Barycentric evaluations + // Compute B(x) + Fr numeratorValue = Fr.wrap(1); + for (uint256 i = 0; i < BATCHED_RELATION_PARTIAL_LENGTH; ++i) { + numeratorValue = numeratorValue * (roundChallenge - Fr.wrap(i)); + } + + // Calculate domain size N of inverses + Fr[BATCHED_RELATION_PARTIAL_LENGTH] memory denominatorInverses; + for (uint256 i = 0; i < BATCHED_RELATION_PARTIAL_LENGTH; ++i) { + Fr inv = BARYCENTRIC_LAGRANGE_DENOMINATORS[i]; + inv = inv * (roundChallenge - Fr.wrap(i)); + inv = FrLib.invert(inv); + denominatorInverses[i] = inv; + } + + for (uint256 i = 0; i < BATCHED_RELATION_PARTIAL_LENGTH; ++i) { + Fr term = roundUnivariates[i]; + term = term * denominatorInverses[i]; + targetSum = targetSum + term; + } + + // Scale the sum by the value of B(x) + targetSum = targetSum * numeratorValue; + } + + // Univariate evaluation of the monomial ((1-X_l) + X_l.B_l) at the challenge point X_l=u_l + function partiallyEvaluatePOW(Fr gateChallenge, Fr currentEvaluation, Fr roundChallenge) + internal + pure + returns (Fr newEvaluation) + { + Fr univariateEval = Fr.wrap(1) + (roundChallenge * (gateChallenge - Fr.wrap(1))); + newEvaluation = currentEvaluation * univariateEval; + } + + function verifyShplemini(Honk.Proof memory proof, Honk.VerificationKey memory vk, Transcript memory tp) + internal + view + returns (bool verified) + { + ShpleminiIntermediates memory mem; // stack + + // - Compute vector (r, rĀ², ... , rĀ²ā½āæā»Ā¹ā¾), where n = log_circuit_size + Fr[CONST_PROOF_SIZE_LOG_N] memory powers_of_evaluation_challenge = CommitmentSchemeLib.computeSquares(tp.geminiR); + + // Arrays hold values that will be linearly combined for the gemini and shplonk batch openings + Fr[NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N + 2] memory scalars; + Honk.G1Point[NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N + 2] memory commitments; + + mem.posInvertedDenominator = (tp.shplonkZ - powers_of_evaluation_challenge[0]).invert(); + mem.negInvertedDenominator = (tp.shplonkZ + powers_of_evaluation_challenge[0]).invert(); + + mem.unshiftedScalar = mem.posInvertedDenominator + (tp.shplonkNu * mem.negInvertedDenominator); + mem.shiftedScalar = + tp.geminiR.invert() * (mem.posInvertedDenominator - (tp.shplonkNu * mem.negInvertedDenominator)); + + scalars[0] = Fr.wrap(1); + commitments[0] = convertProofPoint(proof.shplonkQ); + + mem.batchingChallenge = Fr.wrap(1); + mem.batchedEvaluation = Fr.wrap(0); + + for (uint256 i = 1; i <= NUMBER_UNSHIFTED; ++i) { + scalars[i] = mem.unshiftedScalar.neg() * mem.batchingChallenge; + mem.batchedEvaluation = mem.batchedEvaluation + (proof.sumcheckEvaluations[i - 1] * mem.batchingChallenge); + mem.batchingChallenge = mem.batchingChallenge * tp.rho; + } + // g commitments are accumulated at r + for (uint256 i = NUMBER_UNSHIFTED + 1; i <= NUMBER_OF_ENTITIES; ++i) { + scalars[i] = mem.shiftedScalar.neg() * mem.batchingChallenge; + mem.batchedEvaluation = mem.batchedEvaluation + (proof.sumcheckEvaluations[i - 1] * mem.batchingChallenge); + mem.batchingChallenge = mem.batchingChallenge * tp.rho; + } + + commitments[1] = vk.qm; + commitments[2] = vk.qc; + commitments[3] = vk.ql; + commitments[4] = vk.qr; + commitments[5] = vk.qo; + commitments[6] = vk.q4; + commitments[7] = vk.qLookup; + commitments[8] = vk.qArith; + commitments[9] = vk.qDeltaRange; + commitments[10] = vk.qElliptic; + commitments[11] = vk.qAux; + commitments[12] = vk.qPoseidon2External; + commitments[13] = vk.qPoseidon2Internal; + commitments[14] = vk.s1; + commitments[15] = vk.s2; + commitments[16] = vk.s3; + commitments[17] = vk.s4; + commitments[18] = vk.id1; + commitments[19] = vk.id2; + commitments[20] = vk.id3; + commitments[21] = vk.id4; + commitments[22] = vk.t1; + commitments[23] = vk.t2; + commitments[24] = vk.t3; + commitments[25] = vk.t4; + commitments[26] = vk.lagrangeFirst; + commitments[27] = vk.lagrangeLast; + + // Accumulate proof points + commitments[28] = convertProofPoint(proof.w1); + commitments[29] = convertProofPoint(proof.w2); + commitments[30] = convertProofPoint(proof.w3); + commitments[31] = convertProofPoint(proof.w4); + commitments[32] = convertProofPoint(proof.zPerm); + commitments[33] = convertProofPoint(proof.lookupInverses); + commitments[34] = convertProofPoint(proof.lookupReadCounts); + commitments[35] = convertProofPoint(proof.lookupReadTags); + + // to be Shifted + commitments[36] = convertProofPoint(proof.w1); + commitments[37] = convertProofPoint(proof.w2); + commitments[38] = convertProofPoint(proof.w3); + commitments[39] = convertProofPoint(proof.w4); + commitments[40] = convertProofPoint(proof.zPerm); + + // Add contributions from Aā‚€(r) and Aā‚€(-r) to constant_term_accumulator: + // Compute the evaluations A_l(r^{2^l}) for l = 0, ..., logN - 1 + Fr[CONST_PROOF_SIZE_LOG_N] memory foldPosEvaluations = CommitmentSchemeLib.computeFoldPosEvaluations( + tp.sumCheckUChallenges, + mem.batchedEvaluation, + proof.geminiAEvaluations, + powers_of_evaluation_challenge, + logN + ); + + // Compute the Shplonk constant term contributions from Aā‚€(Ā±r) + mem.constantTermAccumulator = foldPosEvaluations[0] * mem.posInvertedDenominator; + mem.constantTermAccumulator = + mem.constantTermAccumulator + (proof.geminiAEvaluations[0] * tp.shplonkNu * mem.negInvertedDenominator); + mem.batchingChallenge = tp.shplonkNu.sqr(); + + // Compute Shplonk constant term contributions from Aā‚—(Ā±r^{2Ė”}) for l = 1, ..., m-1; + // Compute scalar multipliers for each fold commitment + for (uint256 i = 0; i < CONST_PROOF_SIZE_LOG_N - 1; ++i) { + bool dummy_round = i >= (logN - 1); + + if (!dummy_round) { + // Update inverted denominators + mem.posInvertedDenominator = (tp.shplonkZ - powers_of_evaluation_challenge[i + 1]).invert(); + mem.negInvertedDenominator = (tp.shplonkZ + powers_of_evaluation_challenge[i + 1]).invert(); + + // Compute the scalar multipliers for Aā‚—(Ā± r^{2Ė”}) and [Aā‚—] + mem.scalingFactorPos = mem.batchingChallenge * mem.posInvertedDenominator; + mem.scalingFactorNeg = mem.batchingChallenge * tp.shplonkNu * mem.negInvertedDenominator; + // [Aā‚—] is multiplied by -v^{2l}/(z-r^{2^l}) - v^{2l+1} /(z+ r^{2^l}) + scalars[NUMBER_OF_ENTITIES + 1 + i] = mem.scalingFactorNeg.neg() + mem.scalingFactorPos.neg(); + + // Accumulate the const term contribution given by + // v^{2l} * Aā‚—(r^{2Ė”}) /(z-r^{2^l}) + v^{2l+1} * Aā‚—(-r^{2Ė”}) /(z+ r^{2^l}) + Fr accumContribution = mem.scalingFactorNeg * proof.geminiAEvaluations[i + 1]; + accumContribution = accumContribution + mem.scalingFactorPos * foldPosEvaluations[i + 1]; + mem.constantTermAccumulator = mem.constantTermAccumulator + accumContribution; + // Update the running power of v + mem.batchingChallenge = mem.batchingChallenge * tp.shplonkNu * tp.shplonkNu; + } + + commitments[NUMBER_OF_ENTITIES + 1 + i] = convertProofPoint(proof.geminiFoldComms[i]); + } + + // Finalise the batch opening claim + commitments[NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N] = Honk.G1Point({x: 1, y: 2}); + scalars[NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N] = mem.constantTermAccumulator; + + Honk.G1Point memory quotient_commitment = convertProofPoint(proof.kzgQuotient); + + commitments[NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N + 1] = quotient_commitment; + scalars[NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N + 1] = tp.shplonkZ; // evaluation challenge + + Honk.G1Point memory P_0 = batchMul(commitments, scalars); + Honk.G1Point memory P_1 = negateInplace(quotient_commitment); + + return pairing(P_0, P_1); + } + + // This implementation is the same as above with different constants + function batchMul( + Honk.G1Point[NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N + 2] memory base, + Fr[NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N + 2] memory scalars + ) internal view returns (Honk.G1Point memory result) { + uint256 limit = NUMBER_OF_ENTITIES + CONST_PROOF_SIZE_LOG_N + 2; + assembly { + let success := 0x01 + let free := mload(0x40) + + // Write the original into the accumulator + // Load into memory for ecMUL, leave offset for eccAdd result + // base is an array of pointers, so we have to dereference them + mstore(add(free, 0x40), mload(mload(base))) + mstore(add(free, 0x60), mload(add(0x20, mload(base)))) + // Add scalar + mstore(add(free, 0x80), mload(scalars)) + success := and(success, staticcall(gas(), 7, add(free, 0x40), 0x60, free, 0x40)) + + let count := 0x01 + for {} lt(count, limit) { count := add(count, 1) } { + // Get loop offsets + let base_base := add(base, mul(count, 0x20)) + let scalar_base := add(scalars, mul(count, 0x20)) + + mstore(add(free, 0x40), mload(mload(base_base))) + mstore(add(free, 0x60), mload(add(0x20, mload(base_base)))) + // Add scalar + mstore(add(free, 0x80), mload(scalar_base)) + + success := and(success, staticcall(gas(), 7, add(free, 0x40), 0x60, add(free, 0x40), 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, free, 0x80, free, 0x40)) + } + + // Return the result - i hate this + mstore(result, mload(free)) + mstore(add(result, 0x20), mload(add(free, 0x20))) + } + } +} + +contract HonkVerifier is BaseHonkVerifier(N, LOG_N, NUMBER_OF_PUBLIC_INPUTS) { + function loadVerificationKey() internal pure override returns (Honk.VerificationKey memory) { + return HonkVerificationKey.loadVerificationKey(); + } +} diff --git a/cross-contract-calls-solidity-verifiers/verifier-contract/hardhat.config.js b/cross-contract-calls-solidity-verifiers/verifier-contract/hardhat.config.js new file mode 100644 index 00000000..cfded199 --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/verifier-contract/hardhat.config.js @@ -0,0 +1,35 @@ +require("@nomicfoundation/hardhat-toolbox") +require("@parity/hardhat-polkadot") + +/** @type import('hardhat/config').HardhatUserConfig */ +module.exports = { + solidity: "0.8.28", + resolc: { + compilerSource: "npm", + settings: { + optimizer: { enabled: true, parameters: 'z', runs: 200 }, + evmVersion: 'paris', + // Additional optimization settings + viaIR: true, + } + }, + networks: { + hardhat: { + polkavm: true, + forking: { + url: "https://testnet-passet-hub.polkadot.io", + }, + adapterConfig: { + adapterBinaryPath: "./bin/eth-rpc", + dev: true, + }, + }, + polkadotHubTestnet: { + polkavm: true, + url: 'https://testnet-passet-hub-eth-rpc.polkadot.io', + accounts: [vars.get('PRIVATE_KEY')], + gas: 'auto', + gasPrice: 'auto', + }, + }, +} diff --git a/cross-contract-calls-solidity-verifiers/verifier-contract/ignition/modules/Verifier.js b/cross-contract-calls-solidity-verifiers/verifier-contract/ignition/modules/Verifier.js new file mode 100644 index 00000000..a9e81511 --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/verifier-contract/ignition/modules/Verifier.js @@ -0,0 +1,11 @@ +const { buildModule } = require("@nomicfoundation/hardhat-ignition/modules") + +const VerifierModule = buildModule("VerifierModule", (m) => { + // We can use m.contract with the contract name and an array of constructor arguments. + const verifier = m.contract("HonkVerifier", []) + + // Return the deployed contract instance for other modules to use + return { verifier } +}) + +module.exports = VerifierModule \ No newline at end of file diff --git a/cross-contract-calls-solidity-verifiers/verifier-contract/package-lock.json b/cross-contract-calls-solidity-verifiers/verifier-contract/package-lock.json new file mode 100644 index 00000000..4cfddf5a --- /dev/null +++ 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b/cross-contract-calls-solidity-verifiers/verifier-contract/package.json @@ -0,0 +1,8 @@ +{ + "name": "hardhat-project", + "devDependencies": { + "@nomicfoundation/hardhat-toolbox": "^5.0.0", + "@parity/hardhat-polkadot": "^0.1.10", + "solc": "0.8.28" + } +} diff --git a/cross-contract-calls-solidity-verifiers/verifier-contract/scripts/deploy.js b/cross-contract-calls-solidity-verifiers/verifier-contract/scripts/deploy.js new file mode 100644 index 00000000..1d4ef8fb --- /dev/null +++ b/cross-contract-calls-solidity-verifiers/verifier-contract/scripts/deploy.js @@ -0,0 +1,46 @@ +const hre = require('hardhat') + +async function main() { + console.log('Deploying Verifier contract to', hre.network.name, '...\n') + + // Get signers + const [deployer] = await hre.ethers.getSigners() + console.log('Deploying with account:', deployer.address) + + // Get account balance + try { + const balance = await hre.ethers.provider.getBalance(deployer.address) + console.log('Account balance:', hre.ethers.formatEther(balance), 'PAS\n') + } catch (error) { + console.log('Could not fetch balance\n') + } + + // Deploy Verifier contract + console.log('Deploying Verifier contract with arguments:', n, logN, numPublicInputs) + const Verifier = await hre.ethers.getContractFactory('HonkVerifier') + // Pass the constructor arguments + const verifier = await Verifier.deploy() + + console.log('Waiting for deployment...') + await verifier.waitForDeployment() + + const verifierAddress = await verifier.getAddress() + console.log('\nāœ… Verifier deployed successfully!') + console.log('Contract address:', verifierAddress) + + console.log('\nšŸ“ Save this address to interact with your contract:') + console.log( + `CONTRACT_ADDRESS=${verifierAddress} npx hardhat run scripts/interact.js --network ${hre.network.name}` + ) + + // Optional: Log arguments for verification on Etherscan + console.log('\nArguments for Etherscan verification:') + console.log(JSON.stringify([n, logN, numPublicInputs])) +} + +main() + .then(() => process.exit(0)) + .catch((error) => { + console.error(error) + process.exit(1) + })