diff --git a/.prettierignore b/.prettierignore new file mode 100644 index 0000000..d0b804d --- /dev/null +++ b/.prettierignore @@ -0,0 +1,4 @@ +# Add files here to ignore them from prettier formatting + +/dist +/coverage diff --git a/.prettierrc b/.prettierrc new file mode 100644 index 0000000..23246c1 --- /dev/null +++ b/.prettierrc @@ -0,0 +1,7 @@ +{ + "arrowParens": "avoid", + "singleQuote": true, + "trailingComma": "all", + "printWidth": 100, + "proseWrap": "always" +} diff --git a/stealthdrop/.env.example b/stealthdrop/.env.example new file mode 100644 index 0000000..0e1f85e --- /dev/null +++ b/stealthdrop/.env.example @@ -0,0 +1,12 @@ +# using hardhat default accounts, please update +DEPLOYER_PRIVATE_KEY="0xdf57089febbacf7ba0bc227dafbffa9fc08a93fdc68e1e42411a14efcf23656e" +USER1_PRIVATE_KEY="0xac0974bec39a17e36ba4a6b4d238ff944bacb478cbed5efcae784d7bf4f2ff80" +CLAIMER1_PRIVATE_KEY="0x59c6995e998f97a5a0044966f0945389dc9e86dae88c7a8412f4603b6b78690d" +CLAIMER2_PRIVATE_KEY="0xde9be858da4a475276426320d5e9262ecfc3ba460bfac56360bfa6c4c28b4ee0" + +# hardhat acct #0 key, please update +MUMBAI_DEPLOYER_PRIVATE_KEY="0xac0974bec39a17e36ba4a6b4d238ff944bacb478cbed5efcae784d7bf4f2ff80" +MUMBAI_ALCHEMY_KEY="" +# hardhat acct #0 key, please update +SEPOLIA_DEPLOYER_PRIVATE_KEY="0xac0974bec39a17e36ba4a6b4d238ff944bacb478cbed5efcae784d7bf4f2ff80" +SEPOLIA_ALCHEMY_KEY="" diff --git a/stealthdrop/.gitignore b/stealthdrop/.gitignore new file mode 100644 index 0000000..f45d25c --- /dev/null +++ b/stealthdrop/.gitignore @@ -0,0 +1,52 @@ +# See https://help.github.com/articles/ignoring-files/ for more about ignoring files. + +.env +.tmp + +# dependencies +node_modules +.vitest +/.pnp +.pnp.js + +# testing +/coverage + +# next.js +/.next/ +/out/ + +# production +/build + +# misc +.DS_Store +*.pem + +# debug +npm-debug.log* +yarn-debug.log* +yarn-error.log* +.pnpm-debug.log* + +# local env files +.env*.local + +# vercel +.vercel + +# typescript +*.tsbuildinfo +next-env.d.ts + +# nargo +target + +# hardhat +cache +artifacts +typechain-types +proofs/*.proof + +# other +.vscode diff --git a/stealthdrop/README.md b/stealthdrop/README.md new file mode 100644 index 0000000..29b3bb5 --- /dev/null +++ b/stealthdrop/README.md @@ -0,0 +1,20 @@ +# Stealthdrop example + +WARNING: THIS IS UNSAFE. ECDSA signature is malleable, which means this app has a vulnerability. Check out this [twitter thread](https://twitter.com/0xPARC/status/1493704577002049537?s=20&t=X-5Bs1oWNjmbTASp2T82DA) to understand why. + +This example mimics the great [Stealthdrop](https://github.com/stealthdrop/stealthdrop) example, while massively reducing the complexity of the circuit, proving time, resources, and improving readability. + +## How to run + +Just clone the repo, run `yarn` and `yarn test`. It currently has two tests: a happy path and a sad path. + +## How does it work + +In the `circuits` folder you'll find a circuit, roughtly divided in four steps: + +- Step 1 - Recover the address: Verify ECDSA signature and recover the address. Initially I implemented this by myself, but then found the amazing `ecrecover` library by [Colin](https://github.com/colinnielsen/ecrecover-noir) already provided a module for this. In this step, we prove that the verification of the provided (private) signature was made with the private key that is elligible to claim the airdrop. We also recover the elligible address from it. +- Step 2 - Prevent double-claims: We prove that the nullifier that will be stored in the contract is hash of the signature. +- Step 3 - Prove elligibility: We prove that the address is part of the merkle tree of elligible accounts. +- Step 4 - Allow claimer to claim the airdrop: We prove that the claimer address is the msg.sender + +Each step is roughly two lines of code. diff --git a/stealthdrop/circuits/Nargo.toml b/stealthdrop/circuits/Nargo.toml new file mode 100644 index 0000000..72ec8a5 --- /dev/null +++ b/stealthdrop/circuits/Nargo.toml @@ -0,0 +1,6 @@ +[package] +authors = [""] +compiler_version = "0.4.1" + +[dependencies] +ecrecover = {tag = "v0.2.1", git = "https://github.com/signorecello/ecrecover-noir.git"} diff --git a/stealthdrop/circuits/Prover.toml b/stealthdrop/circuits/Prover.toml new file mode 100644 index 0000000..d8d237e --- /dev/null +++ b/stealthdrop/circuits/Prover.toml @@ -0,0 +1,19 @@ + + pub_key = [131,24,83,91,84,16,93,74,122,174,96,192,143,196,95,150,135,24,27,79,223,198,37,189,26,117,63,167,57,127,237,117,53,71,241,28,168,105,102,70,242,243,172,176,142,49,1,106,250,194,62,99,12,93,17,245,159,97,254,245,123,13,42,165] + + signature = [1,83,82,167,184,77,226,104,5,27,151,91,202,127,17,183,75,31,190,253,159,116,155,13,24,178,40,165,129,90,103,204,42,164,230,62,73,181,169,61,251,221,128,221,14,19,179,25,107,132,10,188,149,0,197,52,151,239,244,103,215,224,56,242] + + hashed_message = [3,57,199,96,145,58,183,241,206,140,36,34,165,163,17,210,97,254,154,79,91,223,149,18,3,210,111,56,246,219,19,104] + + nullifier = [142,197,227,35,35,142,255,176,38,63,247,168,33,178,55,202,46,76,167,202,130,208,59,14,151,19,144,228,58,37,10,101] + + merkle_path = ["0x00000000000000000000000070997970c51812dc3a010c7d01b50e0d17dc79c8","0x03f943ec114f89d16dbcce5b92d643e24b34f239cb462932833b6ef4a666df10","0x10605994d9acb4d2c67befc19b650e255430faa378d010d4fdcf973f0697155e","0x25eb6b9946e31f411b7c607aa9b37cd29ca6db3ff395864bf9a30176c741bebe"] + + index = 0 + + merkle_root = "0x23bfa58e401ffe1f73d39703caa5376a8b5ee8a0673853321585208b86a451c0" + + claimer_pub = "0x70997970C51812dc3A010C7d01b50e0d17dc79C8" + + claimer_priv = "0x70997970C51812dc3A010C7d01b50e0d17dc79C8" + \ No newline at end of file diff --git a/stealthdrop/circuits/Verifier.toml b/stealthdrop/circuits/Verifier.toml new file mode 100644 index 0000000..2441fb9 --- /dev/null +++ b/stealthdrop/circuits/Verifier.toml @@ -0,0 +1,4 @@ +claimer_pub = "0x00000000000000000000000070997970c51812dc3a010c7d01b50e0d17dc79c8" +hashed_message = ["0x0000000000000000000000000000000000000000000000000000000000000003", "0x0000000000000000000000000000000000000000000000000000000000000039", "0x00000000000000000000000000000000000000000000000000000000000000c7", "0x0000000000000000000000000000000000000000000000000000000000000060", "0x0000000000000000000000000000000000000000000000000000000000000091", "0x000000000000000000000000000000000000000000000000000000000000003a", "0x00000000000000000000000000000000000000000000000000000000000000b7", "0x00000000000000000000000000000000000000000000000000000000000000f1", "0x00000000000000000000000000000000000000000000000000000000000000ce", "0x000000000000000000000000000000000000000000000000000000000000008c", "0x0000000000000000000000000000000000000000000000000000000000000024", "0x0000000000000000000000000000000000000000000000000000000000000022", "0x00000000000000000000000000000000000000000000000000000000000000a5", "0x00000000000000000000000000000000000000000000000000000000000000a3", "0x0000000000000000000000000000000000000000000000000000000000000011", "0x00000000000000000000000000000000000000000000000000000000000000d2", "0x0000000000000000000000000000000000000000000000000000000000000061", "0x00000000000000000000000000000000000000000000000000000000000000fe", "0x000000000000000000000000000000000000000000000000000000000000009a", "0x000000000000000000000000000000000000000000000000000000000000004f", "0x000000000000000000000000000000000000000000000000000000000000005b", "0x00000000000000000000000000000000000000000000000000000000000000df", "0x0000000000000000000000000000000000000000000000000000000000000095", "0x0000000000000000000000000000000000000000000000000000000000000012", "0x0000000000000000000000000000000000000000000000000000000000000003", "0x00000000000000000000000000000000000000000000000000000000000000d2", "0x000000000000000000000000000000000000000000000000000000000000006f", "0x0000000000000000000000000000000000000000000000000000000000000038", "0x00000000000000000000000000000000000000000000000000000000000000f6", "0x00000000000000000000000000000000000000000000000000000000000000db", "0x0000000000000000000000000000000000000000000000000000000000000013", "0x0000000000000000000000000000000000000000000000000000000000000068"] +merkle_root = "0x23bfa58e401ffe1f73d39703caa5376a8b5ee8a0673853321585208b86a451c0" +nullifier = ["0x000000000000000000000000000000000000000000000000000000000000008e", "0x00000000000000000000000000000000000000000000000000000000000000c5", "0x00000000000000000000000000000000000000000000000000000000000000e3", "0x0000000000000000000000000000000000000000000000000000000000000023", "0x0000000000000000000000000000000000000000000000000000000000000023", "0x000000000000000000000000000000000000000000000000000000000000008e", "0x00000000000000000000000000000000000000000000000000000000000000ff", "0x00000000000000000000000000000000000000000000000000000000000000b0", "0x0000000000000000000000000000000000000000000000000000000000000026", "0x000000000000000000000000000000000000000000000000000000000000003f", "0x00000000000000000000000000000000000000000000000000000000000000f7", "0x00000000000000000000000000000000000000000000000000000000000000a8", "0x0000000000000000000000000000000000000000000000000000000000000021", "0x00000000000000000000000000000000000000000000000000000000000000b2", "0x0000000000000000000000000000000000000000000000000000000000000037", "0x00000000000000000000000000000000000000000000000000000000000000ca", "0x000000000000000000000000000000000000000000000000000000000000002e", "0x000000000000000000000000000000000000000000000000000000000000004c", "0x00000000000000000000000000000000000000000000000000000000000000a7", "0x00000000000000000000000000000000000000000000000000000000000000ca", "0x0000000000000000000000000000000000000000000000000000000000000082", "0x00000000000000000000000000000000000000000000000000000000000000d0", "0x000000000000000000000000000000000000000000000000000000000000003b", "0x000000000000000000000000000000000000000000000000000000000000000e", "0x0000000000000000000000000000000000000000000000000000000000000097", "0x0000000000000000000000000000000000000000000000000000000000000013", "0x0000000000000000000000000000000000000000000000000000000000000090", "0x00000000000000000000000000000000000000000000000000000000000000e4", "0x000000000000000000000000000000000000000000000000000000000000003a", "0x0000000000000000000000000000000000000000000000000000000000000025", "0x000000000000000000000000000000000000000000000000000000000000000a", "0x0000000000000000000000000000000000000000000000000000000000000065"] diff --git a/stealthdrop/circuits/contract/Airdrop.sol b/stealthdrop/circuits/contract/Airdrop.sol new file mode 100644 index 0000000..d6a5edf --- /dev/null +++ b/stealthdrop/circuits/contract/Airdrop.sol @@ -0,0 +1,63 @@ +pragma solidity ^0.8.0; + +import '@openzeppelin/contracts/token/ERC20/ERC20.sol'; +import './plonk_vk.sol'; +import 'hardhat/console.sol'; + +contract Airdrop is ERC20 { + bytes32 public signThis; + bytes32 public merkleRoot; + UltraVerifier public verifier; + + uint256 public airdropAmount; + + mapping(bytes32 => bool) public nullifiers; // Keep track of claimed Merkle roots + + event TokensAirdropped(address indexed recipient, uint256 amount); + + constructor( + bytes32 _merkleRoot, + bytes32 _signThis, + UltraVerifier _verifier, + uint256 _airdropAmount + ) ERC20('Airdrop', 'ADRP') { + merkleRoot = _merkleRoot; + signThis = _signThis; + verifier = _verifier; + + airdropAmount = _airdropAmount; + _mint(address(this), airdropAmount); + } + + function preparePublicInputs( + bytes32[] memory _publicInputs, + bytes32 publicInput, + uint256 offset + ) private pure returns (bytes32[] memory) { + for (uint256 i = 0; i < 32; i++) { + _publicInputs[i + offset] = (publicInput >> ((31 - i) * 8)) & bytes32(uint256(0xFF)); + } // TODO not cool, padding 31 bytes with 0s + return _publicInputs; + } + + function claim(bytes calldata proof, bytes32 nullifier) external { + bytes32[] memory _publicInputs = new bytes32[](66); + _publicInputs = preparePublicInputs(_publicInputs, signThis, 0); + _publicInputs = preparePublicInputs(_publicInputs, nullifier, 32); + _publicInputs[64] = merkleRoot; + _publicInputs[65] = bytes32(uint256(uint160(msg.sender))); + verifier.verify(proof, _publicInputs); + + // mint tokens + _transfer(address(this), msg.sender, 1); + emit TokensAirdropped(msg.sender, 1); + } + + function getRoot() public view returns (bytes32) { + return merkleRoot; + } + + function getMessage() public view returns (bytes32) { + return signThis; + } +} diff --git a/stealthdrop/circuits/contract/plonk_vk.sol b/stealthdrop/circuits/contract/plonk_vk.sol new file mode 100644 index 0000000..fb5e367 --- /dev/null +++ b/stealthdrop/circuits/contract/plonk_vk.sol @@ -0,0 +1,2611 @@ +// Verification Key Hash: 36f512a59ec8364e4c4f90021f23eb88cb89d03fae27b44fa6b3f1384699876d +// SPDX-License-Identifier: Apache-2.0 +// Copyright 2022 Aztec +pragma solidity >=0.8.4; + +library UltraVerificationKey { + function verificationKeyHash() internal pure returns(bytes32) { + return 0x36f512a59ec8364e4c4f90021f23eb88cb89d03fae27b44fa6b3f1384699876d; + } + + function loadVerificationKey(uint256 _vk, uint256 _omegaInverseLoc) internal pure { + assembly { + mstore(add(_vk, 0x00), 0x0000000000000000000000000000000000000000000000000000000000020000) // vk.circuit_size + mstore(add(_vk, 0x20), 0x0000000000000000000000000000000000000000000000000000000000000042) // vk.num_inputs + mstore(add(_vk, 0x40), 0x1bf82deba7d74902c3708cc6e70e61f30512eca95655210e276e5858ce8f58e5) // vk.work_root + mstore(add(_vk, 0x60), 0x30643640b9f82f90e83b698e5ea6179c7c05542e859533b48b9953a2f5360801) // vk.domain_inverse + mstore(add(_vk, 0x80), 0x23698d0f4931ae8db114ff303bdf5bd9f89d0e9b6136fb821cdec376d2de573f) // vk.Q1.x + mstore(add(_vk, 0xa0), 0x108db92302933e72cba38858a49ab40d4c5989a79ed37a4e3afe098b48164b41) // vk.Q1.y + mstore(add(_vk, 0xc0), 0x156869696d95332386f62e63a2563a352b5c4b1f7cf6732a1d76148192b0fbd6) // vk.Q2.x + mstore(add(_vk, 0xe0), 0x145067ae60d923fea4ae96840526928c8dfcc833b9df413a30e10ea764fb3226) // vk.Q2.y + mstore(add(_vk, 0x100), 0x2b91d4699ebb1af4f0987dabd781ac0efe8b0796aba507ed3a1ef3bbcf549024) // vk.Q3.x + mstore(add(_vk, 0x120), 0x07b632e927b914f1dd070a31961f26970287a89ed2fd66f8053291e5366830c3) // vk.Q3.y + mstore(add(_vk, 0x140), 0x0deb2489e849c30e70969f3735d88f09f82ae140fbe9003dcda93ab0e0dff4bd) // vk.Q4.x + mstore(add(_vk, 0x160), 0x27940ed50a536b4f32560b53b445eff599e50875cfc60c74bf155348e8abe824) // vk.Q4.y + mstore(add(_vk, 0x180), 0x1628a4358414e881d17a749f478b373817c08d2565546ad7184c144353d7c6e6) // vk.Q_M.x + mstore(add(_vk, 0x1a0), 0x1123aeb25d4937d8e9dc1f5bdbdc8acf8a17ba167d60968915d55fcec32f67e1) // vk.Q_M.y + mstore(add(_vk, 0x1c0), 0x202b525c41fe54f116f2379ad63ba0493b12ec2b509f4c93c07f76b93bb4fb9d) // vk.Q_C.x + mstore(add(_vk, 0x1e0), 0x0086b6087d750ace65677e974c400604d20e8901a84d0b1dfe37d5fb89eb63d2) // vk.Q_C.y + mstore(add(_vk, 0x200), 0x2f39529e4a5bf70b5e619fbeddfd81506c77294db01c806f26229c496dd92abe) // vk.Q_ARITHMETIC.x + mstore(add(_vk, 0x220), 0x0f6fe0278f29eebaaa42fbc6c83cc13d952eff90aaff087652f3106f6d8d42f1) // vk.Q_ARITHMETIC.y + mstore(add(_vk, 0x240), 0x2f39590a68516e309f01243829d0fd5c1c40fc806e1f25b43be0d3b4a0d37faf) // vk.QSORT.x + mstore(add(_vk, 0x260), 0x205aa7e5a4a072a4c90cf022db4da543c612f71b028d291e96cf17b2f7e02419) // vk.QSORT.y + mstore(add(_vk, 0x280), 0x2bb008f398e0cf31021aa7aafd3c3219c995fadf284750ff8285c6ac3beb8968) // vk.Q_ELLIPTIC.x + mstore(add(_vk, 0x2a0), 0x0235c313ebbc3ac4fa66ede273db649017d6a5a0932aed7aede9a349eb07d3e8) // vk.Q_ELLIPTIC.y + mstore(add(_vk, 0x2c0), 0x19e30530b7b10061bc24e0ffc3b45eb0ac68a34b38872fa80b8bd677c8aaaef1) // vk.Q_AUX.x + mstore(add(_vk, 0x2e0), 0x2e1b41f4906e38c1ed832902c8180e84c6d5f696bd66b9ed1d2447d8a69e4a15) // vk.Q_AUX.y + mstore(add(_vk, 0x300), 0x047aa37f93012d938869f339893c463cd3e7ef8725c5d88b5b3a563e1a8290ca) // vk.SIGMA1.x + mstore(add(_vk, 0x320), 0x0a3b4fe118d7ba077f36800303113a20bb0b2fe5344de155b72467a8fc4f3de9) // vk.SIGMA1.y + mstore(add(_vk, 0x340), 0x06489efd90850b2703609cedb583a2ec2de97c3c0dfc32107584edbd7aa74769) // vk.SIGMA2.x + mstore(add(_vk, 0x360), 0x13e7e16a3e400929628f355cec4a8a0975c822c44aa896d5bcf9be53d7c30d7e) // vk.SIGMA2.y + mstore(add(_vk, 0x380), 0x2bba159334e25f668341da6ca51d104d0dcbbe127f0a69313182b17709f897f5) // vk.SIGMA3.x + mstore(add(_vk, 0x3a0), 0x28899ab71e8497cc944ed7986f4c3fe20fe80a52b987cf47e2836048ec407f3a) // vk.SIGMA3.y + mstore(add(_vk, 0x3c0), 0x2572a4794aa86754f378922b02b1e4504a0c0675cf3fde26b2a60f91449fd8bb) // vk.SIGMA4.x + mstore(add(_vk, 0x3e0), 0x2efcd4e6c0c338f356789cef1a8f150e0ee144a709dcd9858b1ac59673b1745c) // vk.SIGMA4.y + mstore(add(_vk, 0x400), 0x1e485b55b6dfeee45caa8029b3b574cd47f53667b5c66a7068c015a9e1127c17) // vk.TABLE1.x + mstore(add(_vk, 0x420), 0x02b6076fd16c105ca692efeb83cae8f6112891e497bfa44507f6af32813e720a) // vk.TABLE1.y + mstore(add(_vk, 0x440), 0x244944203dcebea0c86fca06d093d025d3e3f39686d04483aaa937ebdf8690c9) // vk.TABLE2.x + mstore(add(_vk, 0x460), 0x2ba25a0bbee65661a8b98af635e58c88eeea0e9e58e0030055bfd29ad524e629) // vk.TABLE2.y + mstore(add(_vk, 0x480), 0x0ce1e6f967a4ccddc812a01e6ced72f230780f66803bd27b234ed0feca4a9467) // vk.TABLE3.x + mstore(add(_vk, 0x4a0), 0x2090f3324067cd782d661be46b623a218bdd794c550e2f32aa6680cc1a532315) // vk.TABLE3.y + mstore(add(_vk, 0x4c0), 0x2739b36c09e36da5c90d850e29c0ed209b8601667f8ef1325f7ae297279b4c0c) // vk.TABLE4.x + mstore(add(_vk, 0x4e0), 0x25014cb8a27ffa45efa0d95af81e7e1102015704bcc92cc4cfc93808b1821135) // vk.TABLE4.y + mstore(add(_vk, 0x500), 0x0533374c774fb9292580af8003fe9b002dc4f7197bc47a7b6f764a037e87250d) // vk.TABLE_TYPE.x + mstore(add(_vk, 0x520), 0x293e9d4d76109454cc0539c31cc5e7f9664c2f61084cd22a2595166f03132339) // vk.TABLE_TYPE.y + mstore(add(_vk, 0x540), 0x175b9467307585f9510ac90da273af1b2d0e0ef38487257af0db008ff88d39fd) // vk.ID1.x + mstore(add(_vk, 0x560), 0x2d970d4f8ec5f094ef5787c01b5c6b76f55cd4eb16e41e44b66ecf31bb11bcd1) // vk.ID1.y + mstore(add(_vk, 0x580), 0x028c26ffcbe5aafb1d19daa7b3e05363de037998f2fecc4893f0fabcd6589851) // vk.ID2.x + mstore(add(_vk, 0x5a0), 0x0ee780f7e110bbc247758bc779fd79ecccfaf92ae59586e537efdeb18991f1eb) // vk.ID2.y + mstore(add(_vk, 0x5c0), 0x14f153ca156e1dc043ca706518a1c2bc3b3259a70b923cc9b6a736071c4f4184) // vk.ID3.x + mstore(add(_vk, 0x5e0), 0x10e5e1aa2516c534fe198774b2fa581140ad6126f95e389cae9c9852bd1d8967) // vk.ID3.y + mstore(add(_vk, 0x600), 0x046b0e7f21bfd4da8435448890e8b7f467c9fb2692fe6fb27689aece04fe322a) // vk.ID4.x + mstore(add(_vk, 0x620), 0x24c861ff22fdd56139cd8520c3a535b98988db59d8c64ab0952beec031a1e8af) // vk.ID4.y + mstore(add(_vk, 0x640), 0x00) // vk.contains_recursive_proof + mstore(add(_vk, 0x660), 0) // vk.recursive_proof_public_input_indices + mstore(add(_vk, 0x680), 0x260e01b251f6f1c7e7ff4e580791dee8ea51d87a358e038b4efe30fac09383c1) // vk.g2_x.X.c1 + mstore(add(_vk, 0x6a0), 0x0118c4d5b837bcc2bc89b5b398b5974e9f5944073b32078b7e231fec938883b0) // vk.g2_x.X.c0 + mstore(add(_vk, 0x6c0), 0x04fc6369f7110fe3d25156c1bb9a72859cf2a04641f99ba4ee413c80da6a5fe4) // vk.g2_x.Y.c1 + mstore(add(_vk, 0x6e0), 0x22febda3c0c0632a56475b4214e5615e11e6dd3f96e6cea2854a87d4dacc5e55) // vk.g2_x.Y.c0 + mstore(_omegaInverseLoc, 0x244cf010c43ca87237d8b00bf9dd50c4c01c7f086bd4e8c920e75251d96f0d22) // vk.work_root_inverse + } + } +} + +/** + * @title Ultra Plonk proof verification contract + * @dev Top level Plonk proof verification contract, which allows Plonk proof to be verified + */ +abstract contract BaseUltraVerifier { + // VERIFICATION KEY MEMORY LOCATIONS + uint256 internal constant N_LOC = 0x380; + uint256 internal constant NUM_INPUTS_LOC = 0x3a0; + uint256 internal constant OMEGA_LOC = 0x3c0; + uint256 internal constant DOMAIN_INVERSE_LOC = 0x3e0; + uint256 internal constant Q1_X_LOC = 0x400; + uint256 internal constant Q1_Y_LOC = 0x420; + uint256 internal constant Q2_X_LOC = 0x440; + uint256 internal constant Q2_Y_LOC = 0x460; + uint256 internal constant Q3_X_LOC = 0x480; + uint256 internal constant Q3_Y_LOC = 0x4a0; + uint256 internal constant Q4_X_LOC = 0x4c0; + uint256 internal constant Q4_Y_LOC = 0x4e0; + uint256 internal constant QM_X_LOC = 0x500; + uint256 internal constant QM_Y_LOC = 0x520; + uint256 internal constant QC_X_LOC = 0x540; + uint256 internal constant QC_Y_LOC = 0x560; + uint256 internal constant QARITH_X_LOC = 0x580; + uint256 internal constant QARITH_Y_LOC = 0x5a0; + uint256 internal constant QSORT_X_LOC = 0x5c0; + uint256 internal constant QSORT_Y_LOC = 0x5e0; + uint256 internal constant QELLIPTIC_X_LOC = 0x600; + uint256 internal constant QELLIPTIC_Y_LOC = 0x620; + uint256 internal constant QAUX_X_LOC = 0x640; + uint256 internal constant QAUX_Y_LOC = 0x660; + uint256 internal constant SIGMA1_X_LOC = 0x680; + uint256 internal constant SIGMA1_Y_LOC = 0x6a0; + uint256 internal constant SIGMA2_X_LOC = 0x6c0; + uint256 internal constant SIGMA2_Y_LOC = 0x6e0; + uint256 internal constant SIGMA3_X_LOC = 0x700; + uint256 internal constant SIGMA3_Y_LOC = 0x720; + uint256 internal constant SIGMA4_X_LOC = 0x740; + uint256 internal constant SIGMA4_Y_LOC = 0x760; + uint256 internal constant TABLE1_X_LOC = 0x780; + uint256 internal constant TABLE1_Y_LOC = 0x7a0; + uint256 internal constant TABLE2_X_LOC = 0x7c0; + uint256 internal constant TABLE2_Y_LOC = 0x7e0; + uint256 internal constant TABLE3_X_LOC = 0x800; + uint256 internal constant TABLE3_Y_LOC = 0x820; + uint256 internal constant TABLE4_X_LOC = 0x840; + uint256 internal constant TABLE4_Y_LOC = 0x860; + uint256 internal constant TABLE_TYPE_X_LOC = 0x880; + uint256 internal constant TABLE_TYPE_Y_LOC = 0x8a0; + uint256 internal constant ID1_X_LOC = 0x8c0; + uint256 internal constant ID1_Y_LOC = 0x8e0; + uint256 internal constant ID2_X_LOC = 0x900; + uint256 internal constant ID2_Y_LOC = 0x920; + uint256 internal constant ID3_X_LOC = 0x940; + uint256 internal constant ID3_Y_LOC = 0x960; + uint256 internal constant ID4_X_LOC = 0x980; + uint256 internal constant ID4_Y_LOC = 0x9a0; + uint256 internal constant CONTAINS_RECURSIVE_PROOF_LOC = 0x9c0; + uint256 internal constant RECURSIVE_PROOF_PUBLIC_INPUT_INDICES_LOC = 0x9e0; + uint256 internal constant G2X_X0_LOC = 0xa00; + uint256 internal constant G2X_X1_LOC = 0xa20; + uint256 internal constant G2X_Y0_LOC = 0xa40; + uint256 internal constant G2X_Y1_LOC = 0xa60; + + // ### PROOF DATA MEMORY LOCATIONS + uint256 internal constant W1_X_LOC = 0x1200; + uint256 internal constant W1_Y_LOC = 0x1220; + uint256 internal constant W2_X_LOC = 0x1240; + uint256 internal constant W2_Y_LOC = 0x1260; + uint256 internal constant W3_X_LOC = 0x1280; + uint256 internal constant W3_Y_LOC = 0x12a0; + uint256 internal constant W4_X_LOC = 0x12c0; + uint256 internal constant W4_Y_LOC = 0x12e0; + uint256 internal constant S_X_LOC = 0x1300; + uint256 internal constant S_Y_LOC = 0x1320; + uint256 internal constant Z_X_LOC = 0x1340; + uint256 internal constant Z_Y_LOC = 0x1360; + uint256 internal constant Z_LOOKUP_X_LOC = 0x1380; + uint256 internal constant Z_LOOKUP_Y_LOC = 0x13a0; + uint256 internal constant T1_X_LOC = 0x13c0; + uint256 internal constant T1_Y_LOC = 0x13e0; + uint256 internal constant T2_X_LOC = 0x1400; + uint256 internal constant T2_Y_LOC = 0x1420; + uint256 internal constant T3_X_LOC = 0x1440; + uint256 internal constant T3_Y_LOC = 0x1460; + uint256 internal constant T4_X_LOC = 0x1480; + uint256 internal constant T4_Y_LOC = 0x14a0; + + uint256 internal constant W1_EVAL_LOC = 0x1600; + uint256 internal constant W2_EVAL_LOC = 0x1620; + uint256 internal constant W3_EVAL_LOC = 0x1640; + uint256 internal constant W4_EVAL_LOC = 0x1660; + uint256 internal constant S_EVAL_LOC = 0x1680; + uint256 internal constant Z_EVAL_LOC = 0x16a0; + uint256 internal constant Z_LOOKUP_EVAL_LOC = 0x16c0; + uint256 internal constant Q1_EVAL_LOC = 0x16e0; + uint256 internal constant Q2_EVAL_LOC = 0x1700; + uint256 internal constant Q3_EVAL_LOC = 0x1720; + uint256 internal constant Q4_EVAL_LOC = 0x1740; + uint256 internal constant QM_EVAL_LOC = 0x1760; + uint256 internal constant QC_EVAL_LOC = 0x1780; + uint256 internal constant QARITH_EVAL_LOC = 0x17a0; + uint256 internal constant QSORT_EVAL_LOC = 0x17c0; + uint256 internal constant QELLIPTIC_EVAL_LOC = 0x17e0; + uint256 internal constant QAUX_EVAL_LOC = 0x1800; + uint256 internal constant TABLE1_EVAL_LOC = 0x1840; + uint256 internal constant TABLE2_EVAL_LOC = 0x1860; + uint256 internal constant TABLE3_EVAL_LOC = 0x1880; + uint256 internal constant TABLE4_EVAL_LOC = 0x18a0; + uint256 internal constant TABLE_TYPE_EVAL_LOC = 0x18c0; + uint256 internal constant ID1_EVAL_LOC = 0x18e0; + uint256 internal constant ID2_EVAL_LOC = 0x1900; + uint256 internal constant ID3_EVAL_LOC = 0x1920; + uint256 internal constant ID4_EVAL_LOC = 0x1940; + uint256 internal constant SIGMA1_EVAL_LOC = 0x1960; + uint256 internal constant SIGMA2_EVAL_LOC = 0x1980; + uint256 internal constant SIGMA3_EVAL_LOC = 0x19a0; + uint256 internal constant SIGMA4_EVAL_LOC = 0x19c0; + uint256 internal constant W1_OMEGA_EVAL_LOC = 0x19e0; + uint256 internal constant W2_OMEGA_EVAL_LOC = 0x2000; + uint256 internal constant W3_OMEGA_EVAL_LOC = 0x2020; + uint256 internal constant W4_OMEGA_EVAL_LOC = 0x2040; + uint256 internal constant S_OMEGA_EVAL_LOC = 0x2060; + uint256 internal constant Z_OMEGA_EVAL_LOC = 0x2080; + uint256 internal constant Z_LOOKUP_OMEGA_EVAL_LOC = 0x20a0; + uint256 internal constant TABLE1_OMEGA_EVAL_LOC = 0x20c0; + uint256 internal constant TABLE2_OMEGA_EVAL_LOC = 0x20e0; + uint256 internal constant TABLE3_OMEGA_EVAL_LOC = 0x2100; + uint256 internal constant TABLE4_OMEGA_EVAL_LOC = 0x2120; + + uint256 internal constant PI_Z_X_LOC = 0x2300; + uint256 internal constant PI_Z_Y_LOC = 0x2320; + uint256 internal constant PI_Z_OMEGA_X_LOC = 0x2340; + uint256 internal constant PI_Z_OMEGA_Y_LOC = 0x2360; + + // Used for elliptic widget. These are alias names for wire + shifted wire evaluations + uint256 internal constant X1_EVAL_LOC = W2_EVAL_LOC; + uint256 internal constant X2_EVAL_LOC = W1_OMEGA_EVAL_LOC; + uint256 internal constant X3_EVAL_LOC = W2_OMEGA_EVAL_LOC; + uint256 internal constant Y1_EVAL_LOC = W3_EVAL_LOC; + uint256 internal constant Y2_EVAL_LOC = W4_OMEGA_EVAL_LOC; + uint256 internal constant Y3_EVAL_LOC = W3_OMEGA_EVAL_LOC; + uint256 internal constant QBETA_LOC = Q3_EVAL_LOC; + uint256 internal constant QBETA_SQR_LOC = Q4_EVAL_LOC; + uint256 internal constant QSIGN_LOC = Q1_EVAL_LOC; + + // ### CHALLENGES MEMORY OFFSETS + + uint256 internal constant C_BETA_LOC = 0x2600; + uint256 internal constant C_GAMMA_LOC = 0x2620; + uint256 internal constant C_ALPHA_LOC = 0x2640; + uint256 internal constant C_ETA_LOC = 0x2660; + uint256 internal constant C_ETA_SQR_LOC = 0x2680; + uint256 internal constant C_ETA_CUBE_LOC = 0x26a0; + + uint256 internal constant C_ZETA_LOC = 0x26c0; + uint256 internal constant C_CURRENT_LOC = 0x26e0; + uint256 internal constant C_V0_LOC = 0x2700; + uint256 internal constant C_V1_LOC = 0x2720; + uint256 internal constant C_V2_LOC = 0x2740; + uint256 internal constant C_V3_LOC = 0x2760; + uint256 internal constant C_V4_LOC = 0x2780; + uint256 internal constant C_V5_LOC = 0x27a0; + uint256 internal constant C_V6_LOC = 0x27c0; + uint256 internal constant C_V7_LOC = 0x27e0; + uint256 internal constant C_V8_LOC = 0x2800; + uint256 internal constant C_V9_LOC = 0x2820; + uint256 internal constant C_V10_LOC = 0x2840; + uint256 internal constant C_V11_LOC = 0x2860; + uint256 internal constant C_V12_LOC = 0x2880; + uint256 internal constant C_V13_LOC = 0x28a0; + uint256 internal constant C_V14_LOC = 0x28c0; + uint256 internal constant C_V15_LOC = 0x28e0; + uint256 internal constant C_V16_LOC = 0x2900; + uint256 internal constant C_V17_LOC = 0x2920; + uint256 internal constant C_V18_LOC = 0x2940; + uint256 internal constant C_V19_LOC = 0x2960; + uint256 internal constant C_V20_LOC = 0x2980; + uint256 internal constant C_V21_LOC = 0x29a0; + uint256 internal constant C_V22_LOC = 0x29c0; + uint256 internal constant C_V23_LOC = 0x29e0; + uint256 internal constant C_V24_LOC = 0x2a00; + uint256 internal constant C_V25_LOC = 0x2a20; + uint256 internal constant C_V26_LOC = 0x2a40; + uint256 internal constant C_V27_LOC = 0x2a60; + uint256 internal constant C_V28_LOC = 0x2a80; + uint256 internal constant C_V29_LOC = 0x2aa0; + uint256 internal constant C_V30_LOC = 0x2ac0; + + uint256 internal constant C_U_LOC = 0x2b00; + + // ### LOCAL VARIABLES MEMORY OFFSETS + uint256 internal constant DELTA_NUMERATOR_LOC = 0x3000; + uint256 internal constant DELTA_DENOMINATOR_LOC = 0x3020; + uint256 internal constant ZETA_POW_N_LOC = 0x3040; + uint256 internal constant PUBLIC_INPUT_DELTA_LOC = 0x3060; + uint256 internal constant ZERO_POLY_LOC = 0x3080; + uint256 internal constant L_START_LOC = 0x30a0; + uint256 internal constant L_END_LOC = 0x30c0; + uint256 internal constant R_ZERO_EVAL_LOC = 0x30e0; + + uint256 internal constant PLOOKUP_DELTA_NUMERATOR_LOC = 0x3100; + uint256 internal constant PLOOKUP_DELTA_DENOMINATOR_LOC = 0x3120; + uint256 internal constant PLOOKUP_DELTA_LOC = 0x3140; + + uint256 internal constant ACCUMULATOR_X_LOC = 0x3160; + uint256 internal constant ACCUMULATOR_Y_LOC = 0x3180; + uint256 internal constant ACCUMULATOR2_X_LOC = 0x31a0; + uint256 internal constant ACCUMULATOR2_Y_LOC = 0x31c0; + uint256 internal constant PAIRING_LHS_X_LOC = 0x31e0; + uint256 internal constant PAIRING_LHS_Y_LOC = 0x3200; + uint256 internal constant PAIRING_RHS_X_LOC = 0x3220; + uint256 internal constant PAIRING_RHS_Y_LOC = 0x3240; + + // ### SUCCESS FLAG MEMORY LOCATIONS + uint256 internal constant GRAND_PRODUCT_SUCCESS_FLAG = 0x3300; + uint256 internal constant ARITHMETIC_TERM_SUCCESS_FLAG = 0x3020; + uint256 internal constant BATCH_OPENING_SUCCESS_FLAG = 0x3340; + uint256 internal constant OPENING_COMMITMENT_SUCCESS_FLAG = 0x3360; + uint256 internal constant PAIRING_PREAMBLE_SUCCESS_FLAG = 0x3380; + uint256 internal constant PAIRING_SUCCESS_FLAG = 0x33a0; + uint256 internal constant RESULT_FLAG = 0x33c0; + + // misc stuff + uint256 internal constant OMEGA_INVERSE_LOC = 0x3400; + uint256 internal constant C_ALPHA_SQR_LOC = 0x3420; + uint256 internal constant C_ALPHA_CUBE_LOC = 0x3440; + uint256 internal constant C_ALPHA_QUAD_LOC = 0x3460; + uint256 internal constant C_ALPHA_BASE_LOC = 0x3480; + + // ### RECURSION VARIABLE MEMORY LOCATIONS + uint256 internal constant RECURSIVE_P1_X_LOC = 0x3500; + uint256 internal constant RECURSIVE_P1_Y_LOC = 0x3520; + uint256 internal constant RECURSIVE_P2_X_LOC = 0x3540; + uint256 internal constant RECURSIVE_P2_Y_LOC = 0x3560; + + uint256 internal constant PUBLIC_INPUTS_HASH_LOCATION = 0x3580; + + // sub-identity storage + uint256 internal constant PERMUTATION_IDENTITY = 0x3600; + uint256 internal constant PLOOKUP_IDENTITY = 0x3620; + uint256 internal constant ARITHMETIC_IDENTITY = 0x3640; + uint256 internal constant SORT_IDENTITY = 0x3660; + uint256 internal constant ELLIPTIC_IDENTITY = 0x3680; + uint256 internal constant AUX_IDENTITY = 0x36a0; + uint256 internal constant AUX_NON_NATIVE_FIELD_EVALUATION = 0x36c0; + uint256 internal constant AUX_LIMB_ACCUMULATOR_EVALUATION = 0x36e0; + uint256 internal constant AUX_RAM_CONSISTENCY_EVALUATION = 0x3700; + uint256 internal constant AUX_ROM_CONSISTENCY_EVALUATION = 0x3720; + uint256 internal constant AUX_MEMORY_EVALUATION = 0x3740; + + uint256 internal constant QUOTIENT_EVAL_LOC = 0x3760; + uint256 internal constant ZERO_POLY_INVERSE_LOC = 0x3780; + + // when hashing public inputs we use memory at NU_CHALLENGE_INPUT_LOC_A, as the hash input size is unknown at compile time + uint256 internal constant NU_CHALLENGE_INPUT_LOC_A = 0x37a0; + uint256 internal constant NU_CHALLENGE_INPUT_LOC_B = 0x37c0; + uint256 internal constant NU_CHALLENGE_INPUT_LOC_C = 0x37e0; + + bytes4 internal constant PUBLIC_INPUT_INVALID_BN128_G1_POINT_SELECTOR = 0xeba9f4a6; + bytes4 internal constant PUBLIC_INPUT_GE_P_SELECTOR = 0x374a972f; + bytes4 internal constant MOD_EXP_FAILURE_SELECTOR = 0xf894a7bc; + bytes4 internal constant EC_SCALAR_MUL_FAILURE_SELECTOR = 0xf755f369; + bytes4 internal constant PROOF_FAILURE_SELECTOR = 0x0711fcec; + + uint256 internal constant ETA_INPUT_LENGTH = 0xc0; // W1, W2, W3 = 6 * 0x20 bytes + + // We need to hash 41 field elements when generating the NU challenge + // w1, w2, w3, w4, s, z, z_lookup, q1, q2, q3, q4, qm, qc, qarith (14) + // qsort, qelliptic, qaux, sigma1, sigma2, sigma, sigma4, (7) + // table1, table2, table3, table4, tabletype, id1, id2, id3, id4, (9) + // w1_omega, w2_omega, w3_omega, w4_omega, s_omega, z_omega, z_lookup_omega, (7) + // table1_omega, table2_omega, table3_omega, table4_omega (4) + uint256 internal constant NU_INPUT_LENGTH = 0x520; // 0x520 = 41 * 0x20 + + // There are ELEVEN G1 group elements added into the transcript in the `beta` round, that we need to skip over + // W1, W2, W3, W4, S, Z, Z_LOOKUP, T1, T2, T3, T4 + uint256 internal constant NU_CALLDATA_SKIP_LENGTH = 0x2c0; // 11 * 0x40 = 0x2c0 + + uint256 internal constant NEGATIVE_INVERSE_OF_2_MODULO_P = + 0x183227397098d014dc2822db40c0ac2e9419f4243cdcb848a1f0fac9f8000000; + uint256 internal constant LIMB_SIZE = 0x100000000000000000; // 2<<68 + uint256 internal constant SUBLIMB_SHIFT = 0x4000; // 2<<14 + + error PUBLIC_INPUT_COUNT_INVALID(uint256 expected, uint256 actual); + error PUBLIC_INPUT_INVALID_BN128_G1_POINT(); + error PUBLIC_INPUT_GE_P(); + error MOD_EXP_FAILURE(); + error EC_SCALAR_MUL_FAILURE(); + error PROOF_FAILURE(); + + function getVerificationKeyHash() public pure virtual returns (bytes32); + + function loadVerificationKey(uint256 _vk, uint256 _omegaInverseLoc) internal pure virtual; + + /** + * @notice Verify a Ultra Plonk proof + * @param _proof - The serialized proof + * @param _publicInputs - An array of the public inputs + * @return True if proof is valid, reverts otherwise + */ + function verify(bytes calldata _proof, bytes32[] calldata _publicInputs) external view returns (bool) { + loadVerificationKey(N_LOC, OMEGA_INVERSE_LOC); + + uint256 requiredPublicInputCount; + assembly { + requiredPublicInputCount := mload(NUM_INPUTS_LOC) + } + if (requiredPublicInputCount != _publicInputs.length) { + revert PUBLIC_INPUT_COUNT_INVALID(requiredPublicInputCount, _publicInputs.length); + } + + assembly { + let q := 21888242871839275222246405745257275088696311157297823662689037894645226208583 // EC group order + let p := 21888242871839275222246405745257275088548364400416034343698204186575808495617 // Prime field order + + /** + * LOAD PROOF FROM CALLDATA + */ + { + let data_ptr := add(calldataload(0x04), 0x24) + + mstore(W1_Y_LOC, mod(calldataload(data_ptr), q)) + mstore(W1_X_LOC, mod(calldataload(add(data_ptr, 0x20)), q)) + + mstore(W2_Y_LOC, mod(calldataload(add(data_ptr, 0x40)), q)) + mstore(W2_X_LOC, mod(calldataload(add(data_ptr, 0x60)), q)) + + mstore(W3_Y_LOC, mod(calldataload(add(data_ptr, 0x80)), q)) + mstore(W3_X_LOC, mod(calldataload(add(data_ptr, 0xa0)), q)) + + mstore(W4_Y_LOC, mod(calldataload(add(data_ptr, 0xc0)), q)) + mstore(W4_X_LOC, mod(calldataload(add(data_ptr, 0xe0)), q)) + + mstore(S_Y_LOC, mod(calldataload(add(data_ptr, 0x100)), q)) + mstore(S_X_LOC, mod(calldataload(add(data_ptr, 0x120)), q)) + mstore(Z_Y_LOC, mod(calldataload(add(data_ptr, 0x140)), q)) + mstore(Z_X_LOC, mod(calldataload(add(data_ptr, 0x160)), q)) + mstore(Z_LOOKUP_Y_LOC, mod(calldataload(add(data_ptr, 0x180)), q)) + mstore(Z_LOOKUP_X_LOC, mod(calldataload(add(data_ptr, 0x1a0)), q)) + mstore(T1_Y_LOC, mod(calldataload(add(data_ptr, 0x1c0)), q)) + mstore(T1_X_LOC, mod(calldataload(add(data_ptr, 0x1e0)), q)) + + mstore(T2_Y_LOC, mod(calldataload(add(data_ptr, 0x200)), q)) + mstore(T2_X_LOC, mod(calldataload(add(data_ptr, 0x220)), q)) + + mstore(T3_Y_LOC, mod(calldataload(add(data_ptr, 0x240)), q)) + mstore(T3_X_LOC, mod(calldataload(add(data_ptr, 0x260)), q)) + + mstore(T4_Y_LOC, mod(calldataload(add(data_ptr, 0x280)), q)) + mstore(T4_X_LOC, mod(calldataload(add(data_ptr, 0x2a0)), q)) + + mstore(W1_EVAL_LOC, mod(calldataload(add(data_ptr, 0x2c0)), p)) + mstore(W2_EVAL_LOC, mod(calldataload(add(data_ptr, 0x2e0)), p)) + mstore(W3_EVAL_LOC, mod(calldataload(add(data_ptr, 0x300)), p)) + mstore(W4_EVAL_LOC, mod(calldataload(add(data_ptr, 0x320)), p)) + mstore(S_EVAL_LOC, mod(calldataload(add(data_ptr, 0x340)), p)) + mstore(Z_EVAL_LOC, mod(calldataload(add(data_ptr, 0x360)), p)) + mstore(Z_LOOKUP_EVAL_LOC, mod(calldataload(add(data_ptr, 0x380)), p)) + mstore(Q1_EVAL_LOC, mod(calldataload(add(data_ptr, 0x3a0)), p)) + mstore(Q2_EVAL_LOC, mod(calldataload(add(data_ptr, 0x3c0)), p)) + mstore(Q3_EVAL_LOC, mod(calldataload(add(data_ptr, 0x3e0)), p)) + mstore(Q4_EVAL_LOC, mod(calldataload(add(data_ptr, 0x400)), p)) + mstore(QM_EVAL_LOC, mod(calldataload(add(data_ptr, 0x420)), p)) + mstore(QC_EVAL_LOC, mod(calldataload(add(data_ptr, 0x440)), p)) + mstore(QARITH_EVAL_LOC, mod(calldataload(add(data_ptr, 0x460)), p)) + mstore(QSORT_EVAL_LOC, mod(calldataload(add(data_ptr, 0x480)), p)) + mstore(QELLIPTIC_EVAL_LOC, mod(calldataload(add(data_ptr, 0x4a0)), p)) + mstore(QAUX_EVAL_LOC, mod(calldataload(add(data_ptr, 0x4c0)), p)) + + mstore(SIGMA1_EVAL_LOC, mod(calldataload(add(data_ptr, 0x4e0)), p)) + mstore(SIGMA2_EVAL_LOC, mod(calldataload(add(data_ptr, 0x500)), p)) + + mstore(SIGMA3_EVAL_LOC, mod(calldataload(add(data_ptr, 0x520)), p)) + mstore(SIGMA4_EVAL_LOC, mod(calldataload(add(data_ptr, 0x540)), p)) + + mstore(TABLE1_EVAL_LOC, mod(calldataload(add(data_ptr, 0x560)), p)) + mstore(TABLE2_EVAL_LOC, mod(calldataload(add(data_ptr, 0x580)), p)) + mstore(TABLE3_EVAL_LOC, mod(calldataload(add(data_ptr, 0x5a0)), p)) + mstore(TABLE4_EVAL_LOC, mod(calldataload(add(data_ptr, 0x5c0)), p)) + mstore(TABLE_TYPE_EVAL_LOC, mod(calldataload(add(data_ptr, 0x5e0)), p)) + + mstore(ID1_EVAL_LOC, mod(calldataload(add(data_ptr, 0x600)), p)) + mstore(ID2_EVAL_LOC, mod(calldataload(add(data_ptr, 0x620)), p)) + mstore(ID3_EVAL_LOC, mod(calldataload(add(data_ptr, 0x640)), p)) + mstore(ID4_EVAL_LOC, mod(calldataload(add(data_ptr, 0x660)), p)) + + mstore(W1_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x680)), p)) + mstore(W2_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x6a0)), p)) + mstore(W3_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x6c0)), p)) + mstore(W4_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x6e0)), p)) + mstore(S_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x700)), p)) + + mstore(Z_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x720)), p)) + + mstore(Z_LOOKUP_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x740)), p)) + mstore(TABLE1_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x760)), p)) + mstore(TABLE2_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x780)), p)) + mstore(TABLE3_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x7a0)), p)) + mstore(TABLE4_OMEGA_EVAL_LOC, mod(calldataload(add(data_ptr, 0x7c0)), p)) + + mstore(PI_Z_Y_LOC, mod(calldataload(add(data_ptr, 0x7e0)), q)) + mstore(PI_Z_X_LOC, mod(calldataload(add(data_ptr, 0x800)), q)) + + mstore(PI_Z_OMEGA_Y_LOC, mod(calldataload(add(data_ptr, 0x820)), q)) + mstore(PI_Z_OMEGA_X_LOC, mod(calldataload(add(data_ptr, 0x840)), q)) + } + + /** + * LOAD RECURSIVE PROOF INTO MEMORY + */ + { + if mload(CONTAINS_RECURSIVE_PROOF_LOC) { + let public_inputs_ptr := add(calldataload(0x24), 0x24) + let index_counter := add(shl(5, mload(RECURSIVE_PROOF_PUBLIC_INPUT_INDICES_LOC)), public_inputs_ptr) + + let x0 := calldataload(index_counter) + x0 := add(x0, shl(68, calldataload(add(index_counter, 0x20)))) + x0 := add(x0, shl(136, calldataload(add(index_counter, 0x40)))) + x0 := add(x0, shl(204, calldataload(add(index_counter, 0x60)))) + let y0 := calldataload(add(index_counter, 0x80)) + y0 := add(y0, shl(68, calldataload(add(index_counter, 0xa0)))) + y0 := add(y0, shl(136, calldataload(add(index_counter, 0xc0)))) + y0 := add(y0, shl(204, calldataload(add(index_counter, 0xe0)))) + let x1 := calldataload(add(index_counter, 0x100)) + x1 := add(x1, shl(68, calldataload(add(index_counter, 0x120)))) + x1 := add(x1, shl(136, calldataload(add(index_counter, 0x140)))) + x1 := add(x1, shl(204, calldataload(add(index_counter, 0x160)))) + let y1 := calldataload(add(index_counter, 0x180)) + y1 := add(y1, shl(68, calldataload(add(index_counter, 0x1a0)))) + y1 := add(y1, shl(136, calldataload(add(index_counter, 0x1c0)))) + y1 := add(y1, shl(204, calldataload(add(index_counter, 0x1e0)))) + mstore(RECURSIVE_P1_X_LOC, x0) + mstore(RECURSIVE_P1_Y_LOC, y0) + mstore(RECURSIVE_P2_X_LOC, x1) + mstore(RECURSIVE_P2_Y_LOC, y1) + + // validate these are valid bn128 G1 points + if iszero(and(and(lt(x0, q), lt(x1, q)), and(lt(y0, q), lt(y1, q)))) { + mstore(0x00, PUBLIC_INPUT_INVALID_BN128_G1_POINT_SELECTOR) + revert(0x00, 0x04) + } + } + } + + { + /** + * Generate initial challenge + */ + mstore(0x00, shl(224, mload(N_LOC))) + mstore(0x04, shl(224, mload(NUM_INPUTS_LOC))) + let challenge := keccak256(0x00, 0x08) + + /** + * Generate eta challenge + */ + mstore(PUBLIC_INPUTS_HASH_LOCATION, challenge) + // The public input location is stored at 0x24, we then add 0x24 to skip selector and the length of public inputs + let public_inputs_start := add(calldataload(0x24), 0x24) + // copy the public inputs over + let public_input_size := mul(mload(NUM_INPUTS_LOC), 0x20) + calldatacopy(add(PUBLIC_INPUTS_HASH_LOCATION, 0x20), public_inputs_start, public_input_size) + + // copy W1, W2, W3 into challenge. Each point is 0x40 bytes, so load 0xc0 = 3 * 0x40 bytes (ETA input length) + let w_start := add(calldataload(0x04), 0x24) + calldatacopy(add(add(PUBLIC_INPUTS_HASH_LOCATION, 0x20), public_input_size), w_start, ETA_INPUT_LENGTH) + + // Challenge is the old challenge + public inputs + W1, W2, W3 (0x20 + public_input_size + 0xc0) + let challenge_bytes_size := add(0x20, add(public_input_size, ETA_INPUT_LENGTH)) + + challenge := keccak256(PUBLIC_INPUTS_HASH_LOCATION, challenge_bytes_size) + { + let eta := mod(challenge, p) + mstore(C_ETA_LOC, eta) + mstore(C_ETA_SQR_LOC, mulmod(eta, eta, p)) + mstore(C_ETA_CUBE_LOC, mulmod(mload(C_ETA_SQR_LOC), eta, p)) + } + + /** + * Generate beta challenge + */ + mstore(0x00, challenge) + mstore(0x20, mload(W4_Y_LOC)) + mstore(0x40, mload(W4_X_LOC)) + mstore(0x60, mload(S_Y_LOC)) + mstore(0x80, mload(S_X_LOC)) + challenge := keccak256(0x00, 0xa0) + mstore(C_BETA_LOC, mod(challenge, p)) + + /** + * Generate gamma challenge + */ + mstore(0x00, challenge) + mstore8(0x20, 0x01) + challenge := keccak256(0x00, 0x21) + mstore(C_GAMMA_LOC, mod(challenge, p)) + + /** + * Generate alpha challenge + */ + mstore(0x00, challenge) + mstore(0x20, mload(Z_Y_LOC)) + mstore(0x40, mload(Z_X_LOC)) + mstore(0x60, mload(Z_LOOKUP_Y_LOC)) + mstore(0x80, mload(Z_LOOKUP_X_LOC)) + challenge := keccak256(0x00, 0xa0) + mstore(C_ALPHA_LOC, mod(challenge, p)) + + /** + * Compute and store some powers of alpha for future computations + */ + let alpha := mload(C_ALPHA_LOC) + mstore(C_ALPHA_SQR_LOC, mulmod(alpha, alpha, p)) + mstore(C_ALPHA_CUBE_LOC, mulmod(mload(C_ALPHA_SQR_LOC), alpha, p)) + mstore(C_ALPHA_QUAD_LOC, mulmod(mload(C_ALPHA_CUBE_LOC), alpha, p)) + mstore(C_ALPHA_BASE_LOC, alpha) + + /** + * Generate zeta challenge + */ + mstore(0x00, challenge) + mstore(0x20, mload(T1_Y_LOC)) + mstore(0x40, mload(T1_X_LOC)) + mstore(0x60, mload(T2_Y_LOC)) + mstore(0x80, mload(T2_X_LOC)) + mstore(0xa0, mload(T3_Y_LOC)) + mstore(0xc0, mload(T3_X_LOC)) + mstore(0xe0, mload(T4_Y_LOC)) + mstore(0x100, mload(T4_X_LOC)) + + challenge := keccak256(0x00, 0x120) + + mstore(C_ZETA_LOC, mod(challenge, p)) + mstore(C_CURRENT_LOC, challenge) + } + + /** + * EVALUATE FIELD OPERATIONS + */ + + /** + * COMPUTE PUBLIC INPUT DELTA + * ΔPI = ∏ᵢ∈ℓ(wᵢ + β σ(i) + γ) / ∏ᵢ∈ℓ(wᵢ + β σ'(i) + γ) + */ + { + let beta := mload(C_BETA_LOC) // β + let gamma := mload(C_GAMMA_LOC) // γ + let work_root := mload(OMEGA_LOC) // ω + let numerator_value := 1 + let denominator_value := 1 + + let p_clone := p // move p to the front of the stack + let valid_inputs := true + + // Load the starting point of the public inputs (jump over the selector and the length of public inputs [0x24]) + let public_inputs_ptr := add(calldataload(0x24), 0x24) + + // endpoint_ptr = public_inputs_ptr + num_inputs * 0x20. // every public input is 0x20 bytes + let endpoint_ptr := add(public_inputs_ptr, mul(mload(NUM_INPUTS_LOC), 0x20)) + + // root_1 = β * 0x05 + let root_1 := mulmod(beta, 0x05, p_clone) // k1.β + // root_2 = β * 0x0c + let root_2 := mulmod(beta, 0x0c, p_clone) + // @note 0x05 + 0x07 == 0x0c == external coset generator + + for {} lt(public_inputs_ptr, endpoint_ptr) { public_inputs_ptr := add(public_inputs_ptr, 0x20) } { + /** + * input = public_input[i] + * valid_inputs &= input < p + * temp = input + gamma + * numerator_value *= (β.σ(i) + wᵢ + γ) // σ(i) = 0x05.ωⁱ + * denominator_value *= (β.σ'(i) + wᵢ + γ) // σ'(i) = 0x0c.ωⁱ + * root_1 *= ω + * root_2 *= ω + */ + + let input := calldataload(public_inputs_ptr) + valid_inputs := and(valid_inputs, lt(input, p_clone)) + let temp := addmod(input, gamma, p_clone) + + numerator_value := mulmod(numerator_value, add(root_1, temp), p_clone) + denominator_value := mulmod(denominator_value, add(root_2, temp), p_clone) + + root_1 := mulmod(root_1, work_root, p_clone) + root_2 := mulmod(root_2, work_root, p_clone) + } + + // Revert if not all public inputs are field elements (i.e. < p) + if iszero(valid_inputs) { + mstore(0x00, PUBLIC_INPUT_GE_P_SELECTOR) + revert(0x00, 0x04) + } + + mstore(DELTA_NUMERATOR_LOC, numerator_value) + mstore(DELTA_DENOMINATOR_LOC, denominator_value) + } + + /** + * Compute Plookup delta factor [γ(1 + β)]^{n-k} + * k = num roots cut out of Z_H = 4 + */ + { + let delta_base := mulmod(mload(C_GAMMA_LOC), addmod(mload(C_BETA_LOC), 1, p), p) + let delta_numerator := delta_base + { + let exponent := mload(N_LOC) + let count := 1 + for {} lt(count, exponent) { count := add(count, count) } { + delta_numerator := mulmod(delta_numerator, delta_numerator, p) + } + } + mstore(PLOOKUP_DELTA_NUMERATOR_LOC, delta_numerator) + + let delta_denominator := mulmod(delta_base, delta_base, p) + delta_denominator := mulmod(delta_denominator, delta_denominator, p) + mstore(PLOOKUP_DELTA_DENOMINATOR_LOC, delta_denominator) + } + /** + * Compute lagrange poly and vanishing poly fractions + */ + { + /** + * vanishing_numerator = zeta + * ZETA_POW_N = zeta^n + * vanishing_numerator -= 1 + * accumulating_root = omega_inverse + * work_root = p - accumulating_root + * domain_inverse = domain_inverse + * vanishing_denominator = zeta + work_root + * work_root *= accumulating_root + * vanishing_denominator *= (zeta + work_root) + * work_root *= accumulating_root + * vanishing_denominator *= (zeta + work_root) + * vanishing_denominator *= (zeta + (zeta + accumulating_root)) + * work_root = omega + * lagrange_numerator = vanishing_numerator * domain_inverse + * l_start_denominator = zeta - 1 + * accumulating_root = work_root^2 + * l_end_denominator = accumulating_root^2 * work_root * zeta - 1 + * Note: l_end_denominator term contains a term \omega^5 to cut out 5 roots of unity from vanishing poly + */ + + let zeta := mload(C_ZETA_LOC) + + // compute zeta^n, where n is a power of 2 + let vanishing_numerator := zeta + { + // pow_small + let exponent := mload(N_LOC) + let count := 1 + for {} lt(count, exponent) { count := add(count, count) } { + vanishing_numerator := mulmod(vanishing_numerator, vanishing_numerator, p) + } + } + mstore(ZETA_POW_N_LOC, vanishing_numerator) + vanishing_numerator := addmod(vanishing_numerator, sub(p, 1), p) + + let accumulating_root := mload(OMEGA_INVERSE_LOC) + let work_root := sub(p, accumulating_root) + let domain_inverse := mload(DOMAIN_INVERSE_LOC) + + let vanishing_denominator := addmod(zeta, work_root, p) + work_root := mulmod(work_root, accumulating_root, p) + vanishing_denominator := mulmod(vanishing_denominator, addmod(zeta, work_root, p), p) + work_root := mulmod(work_root, accumulating_root, p) + vanishing_denominator := mulmod(vanishing_denominator, addmod(zeta, work_root, p), p) + vanishing_denominator := + mulmod(vanishing_denominator, addmod(zeta, mulmod(work_root, accumulating_root, p), p), p) + + work_root := mload(OMEGA_LOC) + + let lagrange_numerator := mulmod(vanishing_numerator, domain_inverse, p) + let l_start_denominator := addmod(zeta, sub(p, 1), p) + + accumulating_root := mulmod(work_root, work_root, p) + + let l_end_denominator := + addmod( + mulmod(mulmod(mulmod(accumulating_root, accumulating_root, p), work_root, p), zeta, p), sub(p, 1), p + ) + + /** + * Compute inversions using Montgomery's batch inversion trick + */ + let accumulator := mload(DELTA_DENOMINATOR_LOC) + let t0 := accumulator + accumulator := mulmod(accumulator, vanishing_denominator, p) + let t1 := accumulator + accumulator := mulmod(accumulator, vanishing_numerator, p) + let t2 := accumulator + accumulator := mulmod(accumulator, l_start_denominator, p) + let t3 := accumulator + accumulator := mulmod(accumulator, mload(PLOOKUP_DELTA_DENOMINATOR_LOC), p) + let t4 := accumulator + { + mstore(0, 0x20) + mstore(0x20, 0x20) + mstore(0x40, 0x20) + mstore(0x60, mulmod(accumulator, l_end_denominator, p)) + mstore(0x80, sub(p, 2)) + mstore(0xa0, p) + if iszero(staticcall(gas(), 0x05, 0x00, 0xc0, 0x00, 0x20)) { + mstore(0x0, MOD_EXP_FAILURE_SELECTOR) + revert(0x00, 0x04) + } + accumulator := mload(0x00) + } + + t4 := mulmod(accumulator, t4, p) + accumulator := mulmod(accumulator, l_end_denominator, p) + + t3 := mulmod(accumulator, t3, p) + accumulator := mulmod(accumulator, mload(PLOOKUP_DELTA_DENOMINATOR_LOC), p) + + t2 := mulmod(accumulator, t2, p) + accumulator := mulmod(accumulator, l_start_denominator, p) + + t1 := mulmod(accumulator, t1, p) + accumulator := mulmod(accumulator, vanishing_numerator, p) + + t0 := mulmod(accumulator, t0, p) + accumulator := mulmod(accumulator, vanishing_denominator, p) + + accumulator := mulmod(mulmod(accumulator, accumulator, p), mload(DELTA_DENOMINATOR_LOC), p) + + mstore(PUBLIC_INPUT_DELTA_LOC, mulmod(mload(DELTA_NUMERATOR_LOC), accumulator, p)) + mstore(ZERO_POLY_LOC, mulmod(vanishing_numerator, t0, p)) + mstore(ZERO_POLY_INVERSE_LOC, mulmod(vanishing_denominator, t1, p)) + mstore(L_START_LOC, mulmod(lagrange_numerator, t2, p)) + mstore(PLOOKUP_DELTA_LOC, mulmod(mload(PLOOKUP_DELTA_NUMERATOR_LOC), t3, p)) + mstore(L_END_LOC, mulmod(lagrange_numerator, t4, p)) + } + + /** + * UltraPlonk Widget Ordering: + * + * 1. Permutation widget + * 2. Plookup widget + * 3. Arithmetic widget + * 4. Fixed base widget (?) + * 5. GenPermSort widget + * 6. Elliptic widget + * 7. Auxiliary widget + */ + + /** + * COMPUTE PERMUTATION WIDGET EVALUATION + */ + { + let alpha := mload(C_ALPHA_LOC) + let beta := mload(C_BETA_LOC) + let gamma := mload(C_GAMMA_LOC) + + /** + * t1 = (W1 + gamma + beta * ID1) * (W2 + gamma + beta * ID2) + * t2 = (W3 + gamma + beta * ID3) * (W4 + gamma + beta * ID4) + * result = alpha_base * z_eval * t1 * t2 + * t1 = (W1 + gamma + beta * sigma_1_eval) * (W2 + gamma + beta * sigma_2_eval) + * t2 = (W2 + gamma + beta * sigma_3_eval) * (W3 + gamma + beta * sigma_4_eval) + * result -= (alpha_base * z_omega_eval * t1 * t2) + */ + let t1 := + mulmod( + add(add(mload(W1_EVAL_LOC), gamma), mulmod(beta, mload(ID1_EVAL_LOC), p)), + add(add(mload(W2_EVAL_LOC), gamma), mulmod(beta, mload(ID2_EVAL_LOC), p)), + p + ) + let t2 := + mulmod( + add(add(mload(W3_EVAL_LOC), gamma), mulmod(beta, mload(ID3_EVAL_LOC), p)), + add(add(mload(W4_EVAL_LOC), gamma), mulmod(beta, mload(ID4_EVAL_LOC), p)), + p + ) + let result := mulmod(mload(C_ALPHA_BASE_LOC), mulmod(mload(Z_EVAL_LOC), mulmod(t1, t2, p), p), p) + t1 := + mulmod( + add(add(mload(W1_EVAL_LOC), gamma), mulmod(beta, mload(SIGMA1_EVAL_LOC), p)), + add(add(mload(W2_EVAL_LOC), gamma), mulmod(beta, mload(SIGMA2_EVAL_LOC), p)), + p + ) + t2 := + mulmod( + add(add(mload(W3_EVAL_LOC), gamma), mulmod(beta, mload(SIGMA3_EVAL_LOC), p)), + add(add(mload(W4_EVAL_LOC), gamma), mulmod(beta, mload(SIGMA4_EVAL_LOC), p)), + p + ) + result := + addmod( + result, + sub(p, mulmod(mload(C_ALPHA_BASE_LOC), mulmod(mload(Z_OMEGA_EVAL_LOC), mulmod(t1, t2, p), p), p)), + p + ) + + /** + * alpha_base *= alpha + * result += alpha_base . (L_{n-k}(ʓ) . (z(ʓ.ω) - ∆_{PI})) + * alpha_base *= alpha + * result += alpha_base . (L_1(ʓ)(Z(ʓ) - 1)) + * alpha_Base *= alpha + */ + mstore(C_ALPHA_BASE_LOC, mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_LOC), p)) + result := + addmod( + result, + mulmod( + mload(C_ALPHA_BASE_LOC), + mulmod( + mload(L_END_LOC), + addmod(mload(Z_OMEGA_EVAL_LOC), sub(p, mload(PUBLIC_INPUT_DELTA_LOC)), p), + p + ), + p + ), + p + ) + mstore(C_ALPHA_BASE_LOC, mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_LOC), p)) + mstore( + PERMUTATION_IDENTITY, + addmod( + result, + mulmod( + mload(C_ALPHA_BASE_LOC), + mulmod(mload(L_START_LOC), addmod(mload(Z_EVAL_LOC), sub(p, 1), p), p), + p + ), + p + ) + ) + mstore(C_ALPHA_BASE_LOC, mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_LOC), p)) + } + + /** + * COMPUTE PLOOKUP WIDGET EVALUATION + */ + { + /** + * Goal: f = (w1(z) + q2.w1(zω)) + η(w2(z) + qm.w2(zω)) + η²(w3(z) + qc.w_3(zω)) + q3(z).η³ + * f = η.q3(z) + * f += (w3(z) + qc.w_3(zω)) + * f *= η + * f += (w2(z) + qm.w2(zω)) + * f *= η + * f += (w1(z) + q2.w1(zω)) + */ + let f := mulmod(mload(C_ETA_LOC), mload(Q3_EVAL_LOC), p) + f := + addmod(f, addmod(mload(W3_EVAL_LOC), mulmod(mload(QC_EVAL_LOC), mload(W3_OMEGA_EVAL_LOC), p), p), p) + f := mulmod(f, mload(C_ETA_LOC), p) + f := + addmod(f, addmod(mload(W2_EVAL_LOC), mulmod(mload(QM_EVAL_LOC), mload(W2_OMEGA_EVAL_LOC), p), p), p) + f := mulmod(f, mload(C_ETA_LOC), p) + f := + addmod(f, addmod(mload(W1_EVAL_LOC), mulmod(mload(Q2_EVAL_LOC), mload(W1_OMEGA_EVAL_LOC), p), p), p) + + // t(z) = table4(z).η³ + table3(z).η² + table2(z).η + table1(z) + let t := + addmod( + addmod( + addmod( + mulmod(mload(TABLE4_EVAL_LOC), mload(C_ETA_CUBE_LOC), p), + mulmod(mload(TABLE3_EVAL_LOC), mload(C_ETA_SQR_LOC), p), + p + ), + mulmod(mload(TABLE2_EVAL_LOC), mload(C_ETA_LOC), p), + p + ), + mload(TABLE1_EVAL_LOC), + p + ) + + // t(zw) = table4(zw).η³ + table3(zw).η² + table2(zw).η + table1(zw) + let t_omega := + addmod( + addmod( + addmod( + mulmod(mload(TABLE4_OMEGA_EVAL_LOC), mload(C_ETA_CUBE_LOC), p), + mulmod(mload(TABLE3_OMEGA_EVAL_LOC), mload(C_ETA_SQR_LOC), p), + p + ), + mulmod(mload(TABLE2_OMEGA_EVAL_LOC), mload(C_ETA_LOC), p), + p + ), + mload(TABLE1_OMEGA_EVAL_LOC), + p + ) + + /** + * Goal: numerator = (TABLE_TYPE_EVAL * f(z) + γ) * (t(z) + βt(zω) + γ(β + 1)) * (β + 1) + * gamma_beta_constant = γ(β + 1) + * numerator = f * TABLE_TYPE_EVAL + gamma + * temp0 = t(z) + t(zω) * β + gamma_beta_constant + * numerator *= temp0 + * numerator *= (β + 1) + * temp0 = alpha * l_1 + * numerator += temp0 + * numerator *= z_lookup(z) + * numerator -= temp0 + */ + let gamma_beta_constant := mulmod(mload(C_GAMMA_LOC), addmod(mload(C_BETA_LOC), 1, p), p) + let numerator := addmod(mulmod(f, mload(TABLE_TYPE_EVAL_LOC), p), mload(C_GAMMA_LOC), p) + let temp0 := addmod(addmod(t, mulmod(t_omega, mload(C_BETA_LOC), p), p), gamma_beta_constant, p) + numerator := mulmod(numerator, temp0, p) + numerator := mulmod(numerator, addmod(mload(C_BETA_LOC), 1, p), p) + temp0 := mulmod(mload(C_ALPHA_LOC), mload(L_START_LOC), p) + numerator := addmod(numerator, temp0, p) + numerator := mulmod(numerator, mload(Z_LOOKUP_EVAL_LOC), p) + numerator := addmod(numerator, sub(p, temp0), p) + + /** + * Goal: denominator = z_lookup(zω)*[s(z) + βs(zω) + γ(1 + β)] - [z_lookup(zω) - [γ(1 + β)]^{n-k}]*α²L_end(z) + * note: delta_factor = [γ(1 + β)]^{n-k} + * denominator = s(z) + βs(zω) + γ(β + 1) + * temp1 = α²L_end(z) + * denominator -= temp1 + * denominator *= z_lookup(zω) + * denominator += temp1 * delta_factor + * PLOOKUP_IDENTITY = (numerator - denominator).alpha_base + * alpha_base *= alpha^3 + */ + let denominator := + addmod( + addmod(mload(S_EVAL_LOC), mulmod(mload(S_OMEGA_EVAL_LOC), mload(C_BETA_LOC), p), p), + gamma_beta_constant, + p + ) + let temp1 := mulmod(mload(C_ALPHA_SQR_LOC), mload(L_END_LOC), p) + denominator := addmod(denominator, sub(p, temp1), p) + denominator := mulmod(denominator, mload(Z_LOOKUP_OMEGA_EVAL_LOC), p) + denominator := addmod(denominator, mulmod(temp1, mload(PLOOKUP_DELTA_LOC), p), p) + + mstore(PLOOKUP_IDENTITY, mulmod(addmod(numerator, sub(p, denominator), p), mload(C_ALPHA_BASE_LOC), p)) + + // update alpha + mstore(C_ALPHA_BASE_LOC, mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_CUBE_LOC), p)) + } + + /** + * COMPUTE ARITHMETIC WIDGET EVALUATION + */ + { + /** + * The basic arithmetic gate identity in standard plonk is as follows. + * (w_1 . w_2 . q_m) + (w_1 . q_1) + (w_2 . q_2) + (w_3 . q_3) + (w_4 . q_4) + q_c = 0 + * However, for Ultraplonk, we extend this to support "passing" wires between rows (shown without alpha scaling below): + * q_arith * ( ( (-1/2) * (q_arith - 3) * q_m * w_1 * w_2 + q_1 * w_1 + q_2 * w_2 + q_3 * w_3 + q_4 * w_4 + q_c ) + + * (q_arith - 1)*( α * (q_arith - 2) * (w_1 + w_4 - w_1_omega + q_m) + w_4_omega) ) = 0 + * + * This formula results in several cases depending on q_arith: + * 1. q_arith == 0: Arithmetic gate is completely disabled + * + * 2. q_arith == 1: Everything in the minigate on the right is disabled. The equation is just a standard plonk equation + * with extra wires: q_m * w_1 * w_2 + q_1 * w_1 + q_2 * w_2 + q_3 * w_3 + q_4 * w_4 + q_c = 0 + * + * 3. q_arith == 2: The (w_1 + w_4 - ...) term is disabled. THe equation is: + * (1/2) * q_m * w_1 * w_2 + q_1 * w_1 + q_2 * w_2 + q_3 * w_3 + q_4 * w_4 + q_c + w_4_omega = 0 + * It allows defining w_4 at next index (w_4_omega) in terms of current wire values + * + * 4. q_arith == 3: The product of w_1 and w_2 is disabled, but a mini addition gate is enabled. α allows us to split + * the equation into two: + * + * q_1 * w_1 + q_2 * w_2 + q_3 * w_3 + q_4 * w_4 + q_c + 2 * w_4_omega = 0 + * and + * w_1 + w_4 - w_1_omega + q_m = 0 (we are reusing q_m here) + * + * 5. q_arith > 3: The product of w_1 and w_2 is scaled by (q_arith - 3), while the w_4_omega term is scaled by (q_arith - 1). + * The equation can be split into two: + * + * (q_arith - 3)* q_m * w_1 * w_ 2 + q_1 * w_1 + q_2 * w_2 + q_3 * w_3 + q_4 * w_4 + q_c + (q_arith - 1) * w_4_omega = 0 + * and + * w_1 + w_4 - w_1_omega + q_m = 0 + * + * The problem that q_m is used both in both equations can be dealt with by appropriately changing selector values at + * the next gate. Then we can treat (q_arith - 1) as a simulated q_6 selector and scale q_m to handle (q_arith - 3) at + * product. + */ + + let w1q1 := mulmod(mload(W1_EVAL_LOC), mload(Q1_EVAL_LOC), p) + let w2q2 := mulmod(mload(W2_EVAL_LOC), mload(Q2_EVAL_LOC), p) + let w3q3 := mulmod(mload(W3_EVAL_LOC), mload(Q3_EVAL_LOC), p) + let w4q3 := mulmod(mload(W4_EVAL_LOC), mload(Q4_EVAL_LOC), p) + + // @todo - Add a explicit test that hits QARITH == 3 + // w1w2qm := (w_1 . w_2 . q_m . (QARITH_EVAL_LOC - 3)) / 2 + let w1w2qm := + mulmod( + mulmod( + mulmod(mulmod(mload(W1_EVAL_LOC), mload(W2_EVAL_LOC), p), mload(QM_EVAL_LOC), p), + addmod(mload(QARITH_EVAL_LOC), sub(p, 3), p), + p + ), + NEGATIVE_INVERSE_OF_2_MODULO_P, + p + ) + + // (w_1 . w_2 . q_m . (q_arith - 3)) / -2) + (w_1 . q_1) + (w_2 . q_2) + (w_3 . q_3) + (w_4 . q_4) + q_c + let identity := + addmod( + mload(QC_EVAL_LOC), addmod(w4q3, addmod(w3q3, addmod(w2q2, addmod(w1q1, w1w2qm, p), p), p), p), p + ) + + // if q_arith == 3 we evaluate an additional mini addition gate (on top of the regular one), where: + // w_1 + w_4 - w_1_omega + q_m = 0 + // we use this gate to save an addition gate when adding or subtracting non-native field elements + // α * (q_arith - 2) * (w_1 + w_4 - w_1_omega + q_m) + let extra_small_addition_gate_identity := + mulmod( + mload(C_ALPHA_LOC), + mulmod( + addmod(mload(QARITH_EVAL_LOC), sub(p, 2), p), + addmod( + mload(QM_EVAL_LOC), + addmod( + sub(p, mload(W1_OMEGA_EVAL_LOC)), addmod(mload(W1_EVAL_LOC), mload(W4_EVAL_LOC), p), p + ), + p + ), + p + ), + p + ) + + // if q_arith == 2 OR q_arith == 3 we add the 4th wire of the NEXT gate into the arithmetic identity + // N.B. if q_arith > 2, this wire value will be scaled by (q_arith - 1) relative to the other gate wires! + // alpha_base * q_arith * (identity + (q_arith - 1) * (w_4_omega + extra_small_addition_gate_identity)) + mstore( + ARITHMETIC_IDENTITY, + mulmod( + mload(C_ALPHA_BASE_LOC), + mulmod( + mload(QARITH_EVAL_LOC), + addmod( + identity, + mulmod( + addmod(mload(QARITH_EVAL_LOC), sub(p, 1), p), + addmod(mload(W4_OMEGA_EVAL_LOC), extra_small_addition_gate_identity, p), + p + ), + p + ), + p + ), + p + ) + ) + + // update alpha + mstore(C_ALPHA_BASE_LOC, mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_SQR_LOC), p)) + } + + /** + * COMPUTE GENPERMSORT WIDGET EVALUATION + */ + { + /** + * D1 = (w2 - w1) + * D2 = (w3 - w2) + * D3 = (w4 - w3) + * D4 = (w1_omega - w4) + * + * α_a = alpha_base + * α_b = alpha_base * α + * α_c = alpha_base * α^2 + * α_d = alpha_base * α^3 + * + * range_accumulator = ( + * D1(D1 - 1)(D1 - 2)(D1 - 3).α_a + + * D2(D2 - 1)(D2 - 2)(D2 - 3).α_b + + * D3(D3 - 1)(D3 - 2)(D3 - 3).α_c + + * D4(D4 - 1)(D4 - 2)(D4 - 3).α_d + + * ) . q_sort + */ + let minus_two := sub(p, 2) + let minus_three := sub(p, 3) + let d1 := addmod(mload(W2_EVAL_LOC), sub(p, mload(W1_EVAL_LOC)), p) + let d2 := addmod(mload(W3_EVAL_LOC), sub(p, mload(W2_EVAL_LOC)), p) + let d3 := addmod(mload(W4_EVAL_LOC), sub(p, mload(W3_EVAL_LOC)), p) + let d4 := addmod(mload(W1_OMEGA_EVAL_LOC), sub(p, mload(W4_EVAL_LOC)), p) + + let range_accumulator := + mulmod( + mulmod( + mulmod(addmod(mulmod(d1, d1, p), sub(p, d1), p), addmod(d1, minus_two, p), p), + addmod(d1, minus_three, p), + p + ), + mload(C_ALPHA_BASE_LOC), + p + ) + range_accumulator := + addmod( + range_accumulator, + mulmod( + mulmod( + mulmod(addmod(mulmod(d2, d2, p), sub(p, d2), p), addmod(d2, minus_two, p), p), + addmod(d2, minus_three, p), + p + ), + mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_LOC), p), + p + ), + p + ) + range_accumulator := + addmod( + range_accumulator, + mulmod( + mulmod( + mulmod(addmod(mulmod(d3, d3, p), sub(p, d3), p), addmod(d3, minus_two, p), p), + addmod(d3, minus_three, p), + p + ), + mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_SQR_LOC), p), + p + ), + p + ) + range_accumulator := + addmod( + range_accumulator, + mulmod( + mulmod( + mulmod(addmod(mulmod(d4, d4, p), sub(p, d4), p), addmod(d4, minus_two, p), p), + addmod(d4, minus_three, p), + p + ), + mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_CUBE_LOC), p), + p + ), + p + ) + range_accumulator := mulmod(range_accumulator, mload(QSORT_EVAL_LOC), p) + + mstore(SORT_IDENTITY, range_accumulator) + + // update alpha + mstore(C_ALPHA_BASE_LOC, mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_QUAD_LOC), p)) + } + + /** + * COMPUTE ELLIPTIC WIDGET EVALUATION + */ + { + /** + * endo_term = (-x_2) * x_1 * (x_3 * 2 + x_1) * q_beta + * endo_sqr_term = x_2^2 + * endo_sqr_term *= (x_3 - x_1) + * endo_sqr_term *= q_beta^2 + * leftovers = x_2^2 + * leftovers *= x_2 + * leftovers += x_1^2 * (x_3 + x_1) @follow-up Invalid comment in BB widget + * leftovers -= (y_2^2 + y_1^2) + * sign_term = y_2 * y_1 + * sign_term += sign_term + * sign_term *= q_sign + */ + + let endo_term := + mulmod( + mulmod( + mulmod(sub(p, mload(X2_EVAL_LOC)), mload(X1_EVAL_LOC), p), + addmod(addmod(mload(X3_EVAL_LOC), mload(X3_EVAL_LOC), p), mload(X1_EVAL_LOC), p), + p + ), + mload(QBETA_LOC), + p + ) + + let endo_sqr_term := mulmod(mload(X2_EVAL_LOC), mload(X2_EVAL_LOC), p) + endo_sqr_term := mulmod(endo_sqr_term, addmod(mload(X3_EVAL_LOC), sub(p, mload(X1_EVAL_LOC)), p), p) + endo_sqr_term := mulmod(endo_sqr_term, mload(QBETA_SQR_LOC), p) + + let leftovers := mulmod(mload(X2_EVAL_LOC), mload(X2_EVAL_LOC), p) + leftovers := mulmod(leftovers, mload(X2_EVAL_LOC), p) + leftovers := + addmod( + leftovers, + mulmod( + mulmod(mload(X1_EVAL_LOC), mload(X1_EVAL_LOC), p), + addmod(mload(X3_EVAL_LOC), mload(X1_EVAL_LOC), p), + p + ), + p + ) + leftovers := + addmod( + leftovers, + sub( + p, + addmod( + mulmod(mload(Y2_EVAL_LOC), mload(Y2_EVAL_LOC), p), + mulmod(mload(Y1_EVAL_LOC), mload(Y1_EVAL_LOC), p), + p + ) + ), + p + ) + + let sign_term := mulmod(mload(Y2_EVAL_LOC), mload(Y1_EVAL_LOC), p) + sign_term := addmod(sign_term, sign_term, p) + sign_term := mulmod(sign_term, mload(QSIGN_LOC), p) + + /** + * x_identity = endo_term + endo_sqr_term + sign_term + leftovers + * x_identity *= alpha_base + * endo_term = (x_2 * q_beta) * (y_3 + y_1) + * sign_term = -((y2 * q_sign) * (x_1 + x_3)) + * leftovers = - x1 * (y_3 + y_1) + y_1 * (x_1 - x_3) + * y_identity = (endo_term + sign_term + leftovers) * (alpha_base * α) + */ + + let x_identity := addmod(addmod(endo_term, endo_sqr_term, p), addmod(sign_term, leftovers, p), p) + x_identity := mulmod(x_identity, mload(C_ALPHA_BASE_LOC), p) + endo_term := + mulmod( + mulmod(mload(X2_EVAL_LOC), mload(QBETA_LOC), p), + addmod(mload(Y3_EVAL_LOC), mload(Y1_EVAL_LOC), p), + p + ) + sign_term := + sub( + p, + mulmod( + mulmod(mload(Y2_EVAL_LOC), mload(QSIGN_LOC), p), + addmod(mload(X1_EVAL_LOC), sub(p, mload(X3_EVAL_LOC)), p), + p + ) + ) + leftovers := + addmod( + sub(p, mulmod(mload(X1_EVAL_LOC), addmod(mload(Y3_EVAL_LOC), mload(Y1_EVAL_LOC), p), p)), + mulmod(mload(Y1_EVAL_LOC), addmod(mload(X1_EVAL_LOC), sub(p, mload(X3_EVAL_LOC)), p), p), + p + ) + let y_identity := + mulmod( + addmod(addmod(endo_term, sign_term, p), leftovers, p), + mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_LOC), p), + p + ) + + // ELLIPTIC_IDENTITY = (x_identity + y_identity) * Q_ELLIPTIC_EVAL + mstore(ELLIPTIC_IDENTITY, mulmod(addmod(x_identity, y_identity, p), mload(QELLIPTIC_EVAL_LOC), p)) + + // update alpha + // The paper says to use ALPHA^2, we use ALPHA^4 this is a small oversight in the prover protocol + mstore(C_ALPHA_BASE_LOC, mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_QUAD_LOC), p)) + } + + /** + * COMPUTE AUXILIARY WIDGET EVALUATION + */ + { + { + /** + * Non native field arithmetic gate 2 + * _ _ + * / _ _ _ 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 | + * \_ _/ + * + * limb_subproduct = w_1 . w_2_omega + w_1_omega . w_2 + * non_native_field_gate_2 = w_1 * w_4 + w_4 * w_3 - w_3_omega + * non_native_field_gate_2 = non_native_field_gate_2 * limb_size + * non_native_field_gate_2 -= w_4_omega + * non_native_field_gate_2 += limb_subproduct + * non_native_field_gate_2 *= q_4 + * limb_subproduct *= limb_size + * limb_subproduct += w_1_omega * w_2_omega + * non_native_field_gate_1 = (limb_subproduct + w_3 + w_4) * q_3 + * non_native_field_gate_3 = (limb_subproduct + w_4 - (w_3_omega + w_4_omega)) * q_m + * non_native_field_identity = (non_native_field_gate_1 + non_native_field_gate_2 + non_native_field_gate_3) * q_2 + */ + + let limb_subproduct := + addmod( + mulmod(mload(W1_EVAL_LOC), mload(W2_OMEGA_EVAL_LOC), p), + mulmod(mload(W1_OMEGA_EVAL_LOC), mload(W2_EVAL_LOC), p), + p + ) + + let non_native_field_gate_2 := + addmod( + addmod( + mulmod(mload(W1_EVAL_LOC), mload(W4_EVAL_LOC), p), + mulmod(mload(W2_EVAL_LOC), mload(W3_EVAL_LOC), p), + p + ), + sub(p, mload(W3_OMEGA_EVAL_LOC)), + p + ) + non_native_field_gate_2 := mulmod(non_native_field_gate_2, LIMB_SIZE, p) + non_native_field_gate_2 := addmod(non_native_field_gate_2, sub(p, mload(W4_OMEGA_EVAL_LOC)), p) + non_native_field_gate_2 := addmod(non_native_field_gate_2, limb_subproduct, p) + non_native_field_gate_2 := mulmod(non_native_field_gate_2, mload(Q4_EVAL_LOC), p) + limb_subproduct := mulmod(limb_subproduct, LIMB_SIZE, p) + limb_subproduct := + addmod(limb_subproduct, mulmod(mload(W1_OMEGA_EVAL_LOC), mload(W2_OMEGA_EVAL_LOC), p), p) + let non_native_field_gate_1 := + mulmod( + addmod(limb_subproduct, sub(p, addmod(mload(W3_EVAL_LOC), mload(W4_EVAL_LOC), p)), p), + mload(Q3_EVAL_LOC), + p + ) + let non_native_field_gate_3 := + mulmod( + addmod( + addmod(limb_subproduct, mload(W4_EVAL_LOC), p), + sub(p, addmod(mload(W3_OMEGA_EVAL_LOC), mload(W4_OMEGA_EVAL_LOC), p)), + p + ), + mload(QM_EVAL_LOC), + p + ) + let non_native_field_identity := + mulmod( + addmod(addmod(non_native_field_gate_1, non_native_field_gate_2, p), non_native_field_gate_3, p), + mload(Q2_EVAL_LOC), + p + ) + + mstore(AUX_NON_NATIVE_FIELD_EVALUATION, non_native_field_identity) + } + + { + /** + * limb_accumulator_1 = w_2_omega; + * limb_accumulator_1 *= SUBLIMB_SHIFT; + * limb_accumulator_1 += w_1_omega; + * limb_accumulator_1 *= SUBLIMB_SHIFT; + * limb_accumulator_1 += w_3; + * limb_accumulator_1 *= SUBLIMB_SHIFT; + * limb_accumulator_1 += w_2; + * limb_accumulator_1 *= SUBLIMB_SHIFT; + * limb_accumulator_1 += w_1; + * limb_accumulator_1 -= w_4; + * limb_accumulator_1 *= q_4; + */ + let limb_accumulator_1 := mulmod(mload(W2_OMEGA_EVAL_LOC), SUBLIMB_SHIFT, p) + limb_accumulator_1 := addmod(limb_accumulator_1, mload(W1_OMEGA_EVAL_LOC), p) + limb_accumulator_1 := mulmod(limb_accumulator_1, SUBLIMB_SHIFT, p) + limb_accumulator_1 := addmod(limb_accumulator_1, mload(W3_EVAL_LOC), p) + limb_accumulator_1 := mulmod(limb_accumulator_1, SUBLIMB_SHIFT, p) + limb_accumulator_1 := addmod(limb_accumulator_1, mload(W2_EVAL_LOC), p) + limb_accumulator_1 := mulmod(limb_accumulator_1, SUBLIMB_SHIFT, p) + limb_accumulator_1 := addmod(limb_accumulator_1, mload(W1_EVAL_LOC), p) + limb_accumulator_1 := addmod(limb_accumulator_1, sub(p, mload(W4_EVAL_LOC)), p) + limb_accumulator_1 := mulmod(limb_accumulator_1, mload(Q4_EVAL_LOC), p) + + /** + * limb_accumulator_2 = w_3_omega; + * limb_accumulator_2 *= SUBLIMB_SHIFT; + * limb_accumulator_2 += w_2_omega; + * limb_accumulator_2 *= SUBLIMB_SHIFT; + * limb_accumulator_2 += w_1_omega; + * limb_accumulator_2 *= SUBLIMB_SHIFT; + * limb_accumulator_2 += w_4; + * limb_accumulator_2 *= SUBLIMB_SHIFT; + * limb_accumulator_2 += w_3; + * limb_accumulator_2 -= w_4_omega; + * limb_accumulator_2 *= q_m; + */ + let limb_accumulator_2 := mulmod(mload(W3_OMEGA_EVAL_LOC), SUBLIMB_SHIFT, p) + limb_accumulator_2 := addmod(limb_accumulator_2, mload(W2_OMEGA_EVAL_LOC), p) + limb_accumulator_2 := mulmod(limb_accumulator_2, SUBLIMB_SHIFT, p) + limb_accumulator_2 := addmod(limb_accumulator_2, mload(W1_OMEGA_EVAL_LOC), p) + limb_accumulator_2 := mulmod(limb_accumulator_2, SUBLIMB_SHIFT, p) + limb_accumulator_2 := addmod(limb_accumulator_2, mload(W4_EVAL_LOC), p) + limb_accumulator_2 := mulmod(limb_accumulator_2, SUBLIMB_SHIFT, p) + limb_accumulator_2 := addmod(limb_accumulator_2, mload(W3_EVAL_LOC), p) + limb_accumulator_2 := addmod(limb_accumulator_2, sub(p, mload(W4_OMEGA_EVAL_LOC)), p) + limb_accumulator_2 := mulmod(limb_accumulator_2, mload(QM_EVAL_LOC), p) + + mstore( + AUX_LIMB_ACCUMULATOR_EVALUATION, + mulmod(addmod(limb_accumulator_1, limb_accumulator_2, p), mload(Q3_EVAL_LOC), p) + ) + } + + { + /** + * memory_record_check = w_3; + * memory_record_check *= eta; + * memory_record_check += w_2; + * memory_record_check *= eta; + * memory_record_check += w_1; + * memory_record_check *= eta; + * memory_record_check += q_c; + * + * partial_record_check = memory_record_check; + * + * memory_record_check -= w_4; + */ + + let memory_record_check := mulmod(mload(W3_EVAL_LOC), mload(C_ETA_LOC), p) + memory_record_check := addmod(memory_record_check, mload(W2_EVAL_LOC), p) + memory_record_check := mulmod(memory_record_check, mload(C_ETA_LOC), p) + memory_record_check := addmod(memory_record_check, mload(W1_EVAL_LOC), p) + memory_record_check := mulmod(memory_record_check, mload(C_ETA_LOC), p) + memory_record_check := addmod(memory_record_check, mload(QC_EVAL_LOC), p) + + let partial_record_check := memory_record_check + memory_record_check := addmod(memory_record_check, sub(p, mload(W4_EVAL_LOC)), p) + + mstore(AUX_MEMORY_EVALUATION, memory_record_check) + + // index_delta = w_1_omega - w_1 + let index_delta := addmod(mload(W1_OMEGA_EVAL_LOC), sub(p, mload(W1_EVAL_LOC)), p) + // record_delta = w_4_omega - w_4 + let record_delta := addmod(mload(W4_OMEGA_EVAL_LOC), sub(p, mload(W4_EVAL_LOC)), p) + // index_is_monotonically_increasing = index_delta * (index_delta - 1) + let index_is_monotonically_increasing := mulmod(index_delta, addmod(index_delta, sub(p, 1), p), p) + + // adjacent_values_match_if_adjacent_indices_match = record_delta * (1 - index_delta) + let adjacent_values_match_if_adjacent_indices_match := + mulmod(record_delta, addmod(1, sub(p, index_delta), p), p) + + // AUX_ROM_CONSISTENCY_EVALUATION = ((adjacent_values_match_if_adjacent_indices_match * alpha) + index_is_monotonically_increasing) * alpha + partial_record_check + mstore( + AUX_ROM_CONSISTENCY_EVALUATION, + addmod( + mulmod( + addmod( + mulmod(adjacent_values_match_if_adjacent_indices_match, mload(C_ALPHA_LOC), p), + index_is_monotonically_increasing, + p + ), + mload(C_ALPHA_LOC), + p + ), + memory_record_check, + p + ) + ) + + { + /** + * next_gate_access_type = w_3_omega; + * next_gate_access_type *= eta; + * next_gate_access_type += w_2_omega; + * next_gate_access_type *= eta; + * next_gate_access_type += w_1_omega; + * next_gate_access_type *= eta; + * next_gate_access_type = w_4_omega - next_gate_access_type; + */ + let next_gate_access_type := mulmod(mload(W3_OMEGA_EVAL_LOC), mload(C_ETA_LOC), p) + next_gate_access_type := addmod(next_gate_access_type, mload(W2_OMEGA_EVAL_LOC), p) + next_gate_access_type := mulmod(next_gate_access_type, mload(C_ETA_LOC), p) + next_gate_access_type := addmod(next_gate_access_type, mload(W1_OMEGA_EVAL_LOC), p) + next_gate_access_type := mulmod(next_gate_access_type, mload(C_ETA_LOC), p) + next_gate_access_type := addmod(mload(W4_OMEGA_EVAL_LOC), sub(p, next_gate_access_type), p) + + // value_delta = w_3_omega - w_3 + let value_delta := addmod(mload(W3_OMEGA_EVAL_LOC), sub(p, mload(W3_EVAL_LOC)), p) + // adjacent_values_match_if_adjacent_indices_match_and_next_access_is_a_read_operation = (1 - index_delta) * value_delta * (1 - next_gate_access_type); + + let adjacent_values_match_if_adjacent_indices_match_and_next_access_is_a_read_operation := + mulmod( + addmod(1, sub(p, index_delta), p), + mulmod(value_delta, addmod(1, sub(p, next_gate_access_type), p), p), + p + ) + + // AUX_RAM_CONSISTENCY_EVALUATION + + /** + * access_type = w_4 - partial_record_check + * access_check = access_type^2 - access_type + * next_gate_access_type_is_boolean = next_gate_access_type^2 - next_gate_access_type + * RAM_consistency_check_identity = adjacent_values_match_if_adjacent_indices_match_and_next_access_is_a_read_operation; + * RAM_consistency_check_identity *= alpha; + * RAM_consistency_check_identity += index_is_monotonically_increasing; + * RAM_consistency_check_identity *= alpha; + * RAM_consistency_check_identity += next_gate_access_type_is_boolean; + * RAM_consistency_check_identity *= alpha; + * RAM_consistency_check_identity += access_check; + */ + + let access_type := addmod(mload(W4_EVAL_LOC), sub(p, partial_record_check), p) + let access_check := mulmod(access_type, addmod(access_type, sub(p, 1), p), p) + let next_gate_access_type_is_boolean := + mulmod(next_gate_access_type, addmod(next_gate_access_type, sub(p, 1), p), p) + let RAM_cci := + mulmod( + adjacent_values_match_if_adjacent_indices_match_and_next_access_is_a_read_operation, + mload(C_ALPHA_LOC), + p + ) + RAM_cci := addmod(RAM_cci, index_is_monotonically_increasing, p) + RAM_cci := mulmod(RAM_cci, mload(C_ALPHA_LOC), p) + RAM_cci := addmod(RAM_cci, next_gate_access_type_is_boolean, p) + RAM_cci := mulmod(RAM_cci, mload(C_ALPHA_LOC), p) + RAM_cci := addmod(RAM_cci, access_check, p) + + mstore(AUX_RAM_CONSISTENCY_EVALUATION, RAM_cci) + } + + { + // timestamp_delta = w_2_omega - w_2 + let timestamp_delta := addmod(mload(W2_OMEGA_EVAL_LOC), sub(p, mload(W2_EVAL_LOC)), p) + + // RAM_timestamp_check_identity = (1 - index_delta) * timestamp_delta - w_3 + let RAM_timestamp_check_identity := + addmod( + mulmod(timestamp_delta, addmod(1, sub(p, index_delta), p), p), sub(p, mload(W3_EVAL_LOC)), p + ) + + /** + * memory_identity = ROM_consistency_check_identity * q_2; + * memory_identity += RAM_timestamp_check_identity * q_4; + * memory_identity += memory_record_check * q_m; + * memory_identity *= q_1; + * memory_identity += (RAM_consistency_check_identity * q_arith); + * + * auxiliary_identity = memory_identity + non_native_field_identity + limb_accumulator_identity; + * auxiliary_identity *= q_aux; + * auxiliary_identity *= alpha_base; + */ + let memory_identity := mulmod(mload(AUX_ROM_CONSISTENCY_EVALUATION), mload(Q2_EVAL_LOC), p) + memory_identity := + addmod(memory_identity, mulmod(RAM_timestamp_check_identity, mload(Q4_EVAL_LOC), p), p) + memory_identity := + addmod(memory_identity, mulmod(mload(AUX_MEMORY_EVALUATION), mload(QM_EVAL_LOC), p), p) + memory_identity := mulmod(memory_identity, mload(Q1_EVAL_LOC), p) + memory_identity := + addmod( + memory_identity, mulmod(mload(AUX_RAM_CONSISTENCY_EVALUATION), mload(QARITH_EVAL_LOC), p), p + ) + + let auxiliary_identity := addmod(memory_identity, mload(AUX_NON_NATIVE_FIELD_EVALUATION), p) + auxiliary_identity := addmod(auxiliary_identity, mload(AUX_LIMB_ACCUMULATOR_EVALUATION), p) + auxiliary_identity := mulmod(auxiliary_identity, mload(QAUX_EVAL_LOC), p) + auxiliary_identity := mulmod(auxiliary_identity, mload(C_ALPHA_BASE_LOC), p) + + mstore(AUX_IDENTITY, auxiliary_identity) + + // update alpha + mstore(C_ALPHA_BASE_LOC, mulmod(mload(C_ALPHA_BASE_LOC), mload(C_ALPHA_CUBE_LOC), p)) + } + } + } + + { + /** + * quotient = ARITHMETIC_IDENTITY + * quotient += PERMUTATION_IDENTITY + * quotient += PLOOKUP_IDENTITY + * quotient += SORT_IDENTITY + * quotient += ELLIPTIC_IDENTITY + * quotient += AUX_IDENTITY + * quotient *= ZERO_POLY_INVERSE + */ + mstore( + QUOTIENT_EVAL_LOC, + mulmod( + addmod( + addmod( + addmod( + addmod( + addmod(mload(PERMUTATION_IDENTITY), mload(PLOOKUP_IDENTITY), p), + mload(ARITHMETIC_IDENTITY), + p + ), + mload(SORT_IDENTITY), + p + ), + mload(ELLIPTIC_IDENTITY), + p + ), + mload(AUX_IDENTITY), + p + ), + mload(ZERO_POLY_INVERSE_LOC), + p + ) + ) + } + + /** + * GENERATE NU AND SEPARATOR CHALLENGES + */ + { + let current_challenge := mload(C_CURRENT_LOC) + // get a calldata pointer that points to the start of the data we want to copy + let calldata_ptr := add(calldataload(0x04), 0x24) + + calldata_ptr := add(calldata_ptr, NU_CALLDATA_SKIP_LENGTH) + + mstore(NU_CHALLENGE_INPUT_LOC_A, current_challenge) + mstore(NU_CHALLENGE_INPUT_LOC_B, mload(QUOTIENT_EVAL_LOC)) + calldatacopy(NU_CHALLENGE_INPUT_LOC_C, calldata_ptr, NU_INPUT_LENGTH) + + // hash length = (0x20 + num field elements), we include the previous challenge in the hash + let challenge := keccak256(NU_CHALLENGE_INPUT_LOC_A, add(NU_INPUT_LENGTH, 0x40)) + + mstore(C_V0_LOC, mod(challenge, p)) + // We need THIRTY-ONE independent nu challenges! + mstore(0x00, challenge) + mstore8(0x20, 0x01) + mstore(C_V1_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x02) + mstore(C_V2_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x03) + mstore(C_V3_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x04) + mstore(C_V4_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x05) + mstore(C_V5_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x06) + mstore(C_V6_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x07) + mstore(C_V7_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x08) + mstore(C_V8_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x09) + mstore(C_V9_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x0a) + mstore(C_V10_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x0b) + mstore(C_V11_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x0c) + mstore(C_V12_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x0d) + mstore(C_V13_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x0e) + mstore(C_V14_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x0f) + mstore(C_V15_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x10) + mstore(C_V16_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x11) + mstore(C_V17_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x12) + mstore(C_V18_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x13) + mstore(C_V19_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x14) + mstore(C_V20_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x15) + mstore(C_V21_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x16) + mstore(C_V22_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x17) + mstore(C_V23_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x18) + mstore(C_V24_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x19) + mstore(C_V25_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x1a) + mstore(C_V26_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x1b) + mstore(C_V27_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x1c) + mstore(C_V28_LOC, mod(keccak256(0x00, 0x21), p)) + mstore8(0x20, 0x1d) + mstore(C_V29_LOC, mod(keccak256(0x00, 0x21), p)) + + // @follow-up - Why are both v29 and v30 using appending 0x1d to the prior challenge and hashing, should it not change? + mstore8(0x20, 0x1d) + challenge := keccak256(0x00, 0x21) + mstore(C_V30_LOC, mod(challenge, p)) + + // separator + mstore(0x00, challenge) + mstore(0x20, mload(PI_Z_Y_LOC)) + mstore(0x40, mload(PI_Z_X_LOC)) + mstore(0x60, mload(PI_Z_OMEGA_Y_LOC)) + mstore(0x80, mload(PI_Z_OMEGA_X_LOC)) + + mstore(C_U_LOC, mod(keccak256(0x00, 0xa0), p)) + } + + let success := 0 + // VALIDATE T1 + { + let x := mload(T1_X_LOC) + let y := mload(T1_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q)) + mstore(ACCUMULATOR_X_LOC, x) + mstore(add(ACCUMULATOR_X_LOC, 0x20), y) + } + // VALIDATE T2 + { + let x := mload(T2_X_LOC) // 0x1400 + let y := mload(T2_Y_LOC) // 0x1420 + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(ZETA_POW_N_LOC)) + // accumulator_2 = [T2].zeta^n + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = [T1] + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE T3 + { + let x := mload(T3_X_LOC) + let y := mload(T3_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(mload(ZETA_POW_N_LOC), mload(ZETA_POW_N_LOC), p)) + // accumulator_2 = [T3].zeta^{2n} + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE T4 + { + let x := mload(T4_X_LOC) + let y := mload(T4_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(mulmod(mload(ZETA_POW_N_LOC), mload(ZETA_POW_N_LOC), p), mload(ZETA_POW_N_LOC), p)) + // accumulator_2 = [T4].zeta^{3n} + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE W1 + { + let x := mload(W1_X_LOC) + let y := mload(W1_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V0_LOC), p)) + // accumulator_2 = v0.(u + 1).[W1] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE W2 + { + let x := mload(W2_X_LOC) + let y := mload(W2_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V1_LOC), p)) + // accumulator_2 = v1.(u + 1).[W2] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE W3 + { + let x := mload(W3_X_LOC) + let y := mload(W3_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V2_LOC), p)) + // accumulator_2 = v2.(u + 1).[W3] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE W4 + { + let x := mload(W4_X_LOC) + let y := mload(W4_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V3_LOC), p)) + // accumulator_2 = v3.(u + 1).[W4] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE S + { + let x := mload(S_X_LOC) + let y := mload(S_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V4_LOC), p)) + // accumulator_2 = v4.(u + 1).[S] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE Z + { + let x := mload(Z_X_LOC) + let y := mload(Z_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V5_LOC), p)) + // accumulator_2 = v5.(u + 1).[Z] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE Z_LOOKUP + { + let x := mload(Z_LOOKUP_X_LOC) + let y := mload(Z_LOOKUP_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V6_LOC), p)) + // accumulator_2 = v6.(u + 1).[Z_LOOKUP] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE Q1 + { + let x := mload(Q1_X_LOC) + let y := mload(Q1_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V7_LOC)) + // accumulator_2 = v7.[Q1] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE Q2 + { + let x := mload(Q2_X_LOC) + let y := mload(Q2_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V8_LOC)) + // accumulator_2 = v8.[Q2] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE Q3 + { + let x := mload(Q3_X_LOC) + let y := mload(Q3_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V9_LOC)) + // accumulator_2 = v9.[Q3] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE Q4 + { + let x := mload(Q4_X_LOC) + let y := mload(Q4_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V10_LOC)) + // accumulator_2 = v10.[Q4] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE QM + { + let x := mload(QM_X_LOC) + let y := mload(QM_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V11_LOC)) + // accumulator_2 = v11.[Q;] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE QC + { + let x := mload(QC_X_LOC) + let y := mload(QC_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V12_LOC)) + // accumulator_2 = v12.[QC] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE QARITH + { + let x := mload(QARITH_X_LOC) + let y := mload(QARITH_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V13_LOC)) + // accumulator_2 = v13.[QARITH] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE QSORT + { + let x := mload(QSORT_X_LOC) + let y := mload(QSORT_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V14_LOC)) + // accumulator_2 = v14.[QSORT] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE QELLIPTIC + { + let x := mload(QELLIPTIC_X_LOC) + let y := mload(QELLIPTIC_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V15_LOC)) + // accumulator_2 = v15.[QELLIPTIC] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE QAUX + { + let x := mload(QAUX_X_LOC) + let y := mload(QAUX_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V16_LOC)) + // accumulator_2 = v15.[Q_AUX] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE SIGMA1 + { + let x := mload(SIGMA1_X_LOC) + let y := mload(SIGMA1_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V17_LOC)) + // accumulator_2 = v17.[sigma1] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE SIGMA2 + { + let x := mload(SIGMA2_X_LOC) + let y := mload(SIGMA2_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V18_LOC)) + // accumulator_2 = v18.[sigma2] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE SIGMA3 + { + let x := mload(SIGMA3_X_LOC) + let y := mload(SIGMA3_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V19_LOC)) + // accumulator_2 = v19.[sigma3] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE SIGMA4 + { + let x := mload(SIGMA4_X_LOC) + let y := mload(SIGMA4_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V20_LOC)) + // accumulator_2 = v20.[sigma4] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE TABLE1 + { + let x := mload(TABLE1_X_LOC) + let y := mload(TABLE1_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V21_LOC), p)) + // accumulator_2 = u.[table1] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE TABLE2 + { + let x := mload(TABLE2_X_LOC) + let y := mload(TABLE2_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V22_LOC), p)) + // accumulator_2 = u.[table2] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE TABLE3 + { + let x := mload(TABLE3_X_LOC) + let y := mload(TABLE3_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V23_LOC), p)) + // accumulator_2 = u.[table3] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE TABLE4 + { + let x := mload(TABLE4_X_LOC) + let y := mload(TABLE4_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(addmod(mload(C_U_LOC), 0x1, p), mload(C_V24_LOC), p)) + // accumulator_2 = u.[table4] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE TABLE_TYPE + { + let x := mload(TABLE_TYPE_X_LOC) + let y := mload(TABLE_TYPE_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V25_LOC)) + // accumulator_2 = v25.[TableType] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE ID1 + { + let x := mload(ID1_X_LOC) + let y := mload(ID1_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V26_LOC)) + // accumulator_2 = v26.[ID1] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE ID2 + { + let x := mload(ID2_X_LOC) + let y := mload(ID2_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V27_LOC)) + // accumulator_2 = v27.[ID2] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE ID3 + { + let x := mload(ID3_X_LOC) + let y := mload(ID3_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V28_LOC)) + // accumulator_2 = v28.[ID3] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE ID4 + { + let x := mload(ID4_X_LOC) + let y := mload(ID4_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mload(C_V29_LOC)) + // accumulator_2 = v29.[ID4] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + /** + * COMPUTE BATCH EVALUATION SCALAR MULTIPLIER + */ + { + /** + * batch_evaluation = v0 * (w_1_omega * u + w_1_eval) + * batch_evaluation += v1 * (w_2_omega * u + w_2_eval) + * batch_evaluation += v2 * (w_3_omega * u + w_3_eval) + * batch_evaluation += v3 * (w_4_omega * u + w_4_eval) + * batch_evaluation += v4 * (s_omega_eval * u + s_eval) + * batch_evaluation += v5 * (z_omega_eval * u + z_eval) + * batch_evaluation += v6 * (z_lookup_omega_eval * u + z_lookup_eval) + */ + let batch_evaluation := + mulmod( + mload(C_V0_LOC), + addmod(mulmod(mload(W1_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(W1_EVAL_LOC), p), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V1_LOC), + addmod(mulmod(mload(W2_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(W2_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V2_LOC), + addmod(mulmod(mload(W3_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(W3_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V3_LOC), + addmod(mulmod(mload(W4_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(W4_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V4_LOC), + addmod(mulmod(mload(S_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(S_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V5_LOC), + addmod(mulmod(mload(Z_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(Z_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V6_LOC), + addmod(mulmod(mload(Z_LOOKUP_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(Z_LOOKUP_EVAL_LOC), p), + p + ), + p + ) + + /** + * batch_evaluation += v7 * Q1_EVAL + * batch_evaluation += v8 * Q2_EVAL + * batch_evaluation += v9 * Q3_EVAL + * batch_evaluation += v10 * Q4_EVAL + * batch_evaluation += v11 * QM_EVAL + * batch_evaluation += v12 * QC_EVAL + * batch_evaluation += v13 * QARITH_EVAL + * batch_evaluation += v14 * QSORT_EVAL_LOC + * batch_evaluation += v15 * QELLIPTIC_EVAL_LOC + * batch_evaluation += v16 * QAUX_EVAL_LOC + * batch_evaluation += v17 * SIGMA1_EVAL_LOC + * batch_evaluation += v18 * SIGMA2_EVAL_LOC + * batch_evaluation += v19 * SIGMA3_EVAL_LOC + * batch_evaluation += v20 * SIGMA4_EVAL_LOC + */ + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V7_LOC), mload(Q1_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V8_LOC), mload(Q2_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V9_LOC), mload(Q3_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V10_LOC), mload(Q4_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V11_LOC), mload(QM_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V12_LOC), mload(QC_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V13_LOC), mload(QARITH_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V14_LOC), mload(QSORT_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V15_LOC), mload(QELLIPTIC_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V16_LOC), mload(QAUX_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V17_LOC), mload(SIGMA1_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V18_LOC), mload(SIGMA2_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V19_LOC), mload(SIGMA3_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V20_LOC), mload(SIGMA4_EVAL_LOC), p), p) + + /** + * batch_evaluation += v21 * (table1(zw) * u + table1(z)) + * batch_evaluation += v22 * (table2(zw) * u + table2(z)) + * batch_evaluation += v23 * (table3(zw) * u + table3(z)) + * batch_evaluation += v24 * (table4(zw) * u + table4(z)) + * batch_evaluation += v25 * table_type_eval + * batch_evaluation += v26 * id1_eval + * batch_evaluation += v27 * id2_eval + * batch_evaluation += v28 * id3_eval + * batch_evaluation += v29 * id4_eval + * batch_evaluation += quotient_eval + */ + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V21_LOC), + addmod(mulmod(mload(TABLE1_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(TABLE1_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V22_LOC), + addmod(mulmod(mload(TABLE2_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(TABLE2_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V23_LOC), + addmod(mulmod(mload(TABLE3_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(TABLE3_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := + addmod( + batch_evaluation, + mulmod( + mload(C_V24_LOC), + addmod(mulmod(mload(TABLE4_OMEGA_EVAL_LOC), mload(C_U_LOC), p), mload(TABLE4_EVAL_LOC), p), + p + ), + p + ) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V25_LOC), mload(TABLE_TYPE_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V26_LOC), mload(ID1_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V27_LOC), mload(ID2_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V28_LOC), mload(ID3_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mulmod(mload(C_V29_LOC), mload(ID4_EVAL_LOC), p), p) + batch_evaluation := addmod(batch_evaluation, mload(QUOTIENT_EVAL_LOC), p) + + mstore(0x00, 0x01) // [1].x + mstore(0x20, 0x02) // [1].y + mstore(0x40, sub(p, batch_evaluation)) + // accumulator_2 = -[1].(batch_evaluation) + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + mstore(OPENING_COMMITMENT_SUCCESS_FLAG, success) + } + + /** + * PERFORM PAIRING PREAMBLE + */ + { + let u := mload(C_U_LOC) + let zeta := mload(C_ZETA_LOC) + // VALIDATE PI_Z + { + let x := mload(PI_Z_X_LOC) + let y := mload(PI_Z_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q)) + mstore(0x00, x) + mstore(0x20, y) + } + // compute zeta.[PI_Z] and add into accumulator + mstore(0x40, zeta) + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // accumulator = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, ACCUMULATOR_X_LOC, 0x40)) + + // VALIDATE PI_Z_OMEGA + { + let x := mload(PI_Z_OMEGA_X_LOC) + let y := mload(PI_Z_OMEGA_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + mstore(0x40, mulmod(mulmod(u, zeta, p), mload(OMEGA_LOC), p)) + // accumulator_2 = u.zeta.omega.[PI_Z_OMEGA] + success := and(success, staticcall(gas(), 7, 0x00, 0x60, ACCUMULATOR2_X_LOC, 0x40)) + // PAIRING_RHS = accumulator + accumulator_2 + success := and(success, staticcall(gas(), 6, ACCUMULATOR_X_LOC, 0x80, PAIRING_RHS_X_LOC, 0x40)) + + mstore(0x00, mload(PI_Z_X_LOC)) + mstore(0x20, mload(PI_Z_Y_LOC)) + mstore(0x40, mload(PI_Z_OMEGA_X_LOC)) + mstore(0x60, mload(PI_Z_OMEGA_Y_LOC)) + mstore(0x80, u) + success := and(success, staticcall(gas(), 7, 0x40, 0x60, 0x40, 0x40)) + // PAIRING_LHS = [PI_Z] + [PI_Z_OMEGA] * u + success := and(success, staticcall(gas(), 6, 0x00, 0x80, PAIRING_LHS_X_LOC, 0x40)) + // negate lhs y-coordinate + mstore(PAIRING_LHS_Y_LOC, sub(q, mload(PAIRING_LHS_Y_LOC))) + + if mload(CONTAINS_RECURSIVE_PROOF_LOC) { + // VALIDATE RECURSIVE P1 + { + let x := mload(RECURSIVE_P1_X_LOC) + let y := mload(RECURSIVE_P1_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + + // compute u.u.[recursive_p1] and write into 0x60 + mstore(0x40, mulmod(u, u, p)) + success := and(success, staticcall(gas(), 7, 0x00, 0x60, 0x60, 0x40)) + // VALIDATE RECURSIVE P2 + { + let x := mload(RECURSIVE_P2_X_LOC) + let y := mload(RECURSIVE_P2_Y_LOC) + let xx := mulmod(x, x, q) + // validate on curve + success := and(success, eq(mulmod(y, y, q), addmod(mulmod(x, xx, q), 3, q))) + mstore(0x00, x) + mstore(0x20, y) + } + // compute u.u.[recursive_p2] and write into 0x00 + // 0x40 still contains u*u + success := and(success, staticcall(gas(), 7, 0x00, 0x60, 0x00, 0x40)) + + // compute u.u.[recursiveP1] + rhs and write into rhs + mstore(0xa0, mload(PAIRING_RHS_X_LOC)) + mstore(0xc0, mload(PAIRING_RHS_Y_LOC)) + success := and(success, staticcall(gas(), 6, 0x60, 0x80, PAIRING_RHS_X_LOC, 0x40)) + + // compute u.u.[recursiveP2] + lhs and write into lhs + mstore(0x40, mload(PAIRING_LHS_X_LOC)) + mstore(0x60, mload(PAIRING_LHS_Y_LOC)) + success := and(success, staticcall(gas(), 6, 0x00, 0x80, PAIRING_LHS_X_LOC, 0x40)) + } + + if iszero(success) { + mstore(0x0, EC_SCALAR_MUL_FAILURE_SELECTOR) + revert(0x00, 0x04) + } + mstore(PAIRING_PREAMBLE_SUCCESS_FLAG, success) + } + + /** + * PERFORM PAIRING + */ + { + // rhs paired with [1]_2 + // lhs paired with [x]_2 + + mstore(0x00, mload(PAIRING_RHS_X_LOC)) + mstore(0x20, mload(PAIRING_RHS_Y_LOC)) + mstore(0x40, 0x198e9393920d483a7260bfb731fb5d25f1aa493335a9e71297e485b7aef312c2) // this is [1]_2 + mstore(0x60, 0x1800deef121f1e76426a00665e5c4479674322d4f75edadd46debd5cd992f6ed) + mstore(0x80, 0x090689d0585ff075ec9e99ad690c3395bc4b313370b38ef355acdadcd122975b) + mstore(0xa0, 0x12c85ea5db8c6deb4aab71808dcb408fe3d1e7690c43d37b4ce6cc0166fa7daa) + + mstore(0xc0, mload(PAIRING_LHS_X_LOC)) + mstore(0xe0, mload(PAIRING_LHS_Y_LOC)) + mstore(0x100, mload(G2X_X0_LOC)) + mstore(0x120, mload(G2X_X1_LOC)) + mstore(0x140, mload(G2X_Y0_LOC)) + mstore(0x160, mload(G2X_Y1_LOC)) + + success := staticcall(gas(), 8, 0x00, 0x180, 0x00, 0x20) + mstore(PAIRING_SUCCESS_FLAG, success) + mstore(RESULT_FLAG, mload(0x00)) + } + if iszero( + and( + and(and(mload(PAIRING_SUCCESS_FLAG), mload(RESULT_FLAG)), mload(PAIRING_PREAMBLE_SUCCESS_FLAG)), + mload(OPENING_COMMITMENT_SUCCESS_FLAG) + ) + ) { + mstore(0x0, PROOF_FAILURE_SELECTOR) + revert(0x00, 0x04) + } + { + mstore(0x00, 0x01) + return(0x00, 0x20) // Proof succeeded! + } + } + } +} + +contract UltraVerifier is BaseUltraVerifier { + function getVerificationKeyHash() public pure override(BaseUltraVerifier) returns (bytes32) { + return UltraVerificationKey.verificationKeyHash(); + } + + function loadVerificationKey(uint256 vk, uint256 _omegaInverseLoc) internal pure virtual override(BaseUltraVerifier) { + UltraVerificationKey.loadVerificationKey(vk, _omegaInverseLoc); + } +} diff --git a/stealthdrop/circuits/proofs/abiHashes.json b/stealthdrop/circuits/proofs/abiHashes.json new file mode 100644 index 0000000..f96b261 --- /dev/null +++ b/stealthdrop/circuits/proofs/abiHashes.json @@ -0,0 +1,3 @@ +{ + "valid": "1226e8075f5bc0c9480e013b7c39b54785cbcf5543fd8133b385dd37a8b93bc0" +} \ No newline at end of file diff --git a/stealthdrop/circuits/proofs/valid.proof b/stealthdrop/circuits/proofs/valid.proof new file mode 100644 index 0000000..e752520 --- /dev/null +++ b/stealthdrop/circuits/proofs/valid.proof @@ -0,0 +1 @@ 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 \ No newline at end of file diff --git a/stealthdrop/circuits/src/main.nr b/stealthdrop/circuits/src/main.nr new file mode 100644 index 0000000..7e5bbf7 --- /dev/null +++ b/stealthdrop/circuits/src/main.nr @@ -0,0 +1,24 @@ +use dep::std; +use dep::ecrecover; +fn main( + pub_key: [u8; 64], + signature: [u8; 64], + hashed_message: pub [u8; 32], + nullifier: pub [u8; 32], + merkle_path: [Field; 4], + index: Field, + merkle_root: pub Field, + claimer_priv: Field, + claimer_pub: pub Field +) { + let key = ecrecover::secp256k1::PubKey::from_unified(pub_key); + let address = ecrecover::ecrecover(key.pub_x, key.pub_y, signature, hashed_message); + + let calculatedNullifier = std::hash::blake2s(signature); + assert(calculatedNullifier == nullifier); + + let new_root = std::merkle::compute_merkle_root(address, index, merkle_path); + assert(new_root == merkle_root); + + assert(claimer_priv == claimer_pub); +} diff --git a/stealthdrop/hardhat.config.ts b/stealthdrop/hardhat.config.ts new file mode 100644 index 0000000..39b4ca7 --- /dev/null +++ b/stealthdrop/hardhat.config.ts @@ -0,0 +1,39 @@ +import '@nomicfoundation/hardhat-toolbox'; +import '@nomiclabs/hardhat-ethers'; +import '@nomicfoundation/hardhat-chai-matchers'; + +import { HardhatUserConfig } from 'hardhat/config'; + +import * as dotenv from 'dotenv'; +dotenv.config(); + +const config: HardhatUserConfig = { + solidity: { + version: '0.8.9', + settings: { + evmVersion: 'london', + optimizer: { enabled: true, runs: 5000 }, + }, + }, + mocha: { + timeout: 100000000, + }, + networks: { + local: { + url: 'http://127.0.0.1:8545', + }, + hardhat: { + mining: { + auto: true, + interval: 1000, + }, + blockGasLimit: 1000000000, + }, + }, + + paths: { + sources: './circuits/contract', + }, +}; + +export default config; diff --git a/stealthdrop/package.json b/stealthdrop/package.json new file mode 100644 index 0000000..1b37b3c --- /dev/null +++ b/stealthdrop/package.json @@ -0,0 +1,32 @@ +{ + "name": "stealthdrop", + "version": "1.0.0", + "description": "", + "scripts": { + "test": "vitest --watch" + }, + "dependencies": { + "@aztec/bb.js": "^0.0.1-alpha.1", + "@nomicfoundation/hardhat-chai-matchers": "^1.0.6", + "@nomicfoundation/hardhat-toolbox": "^2.0.1", + "@nomiclabs/hardhat-ethers": "^2.2.2", + "@nomiclabs/hardhat-etherscan": "^3.0.0", + "@openzeppelin/contracts": "^4.8.3", + "@typechain/ethers-v5": "^10.1.0", + "@typechain/hardhat": "^6.1.2", + "blake2": "^5.0.0", + "dotenv": "^16.0.3", + "ethers": "^5.7.2", + "hardhat": "^2.14.0", + "hardhat-gas-reporter": "^1.0.8", + "keccak256": "^1.0.6", + "solidity-coverage": "^0.8.1", + "typechain": "^8.1.0" + }, + "devDependencies": { + "@types/mocha": "^10.0.1", + "@types/node": "^18.16.14", + "typescript": "^4.9.3", + "vitest": "^0.31.4" + } +} diff --git a/stealthdrop/remix-compiler.config.js b/stealthdrop/remix-compiler.config.js new file mode 100644 index 0000000..1bf3f90 --- /dev/null +++ b/stealthdrop/remix-compiler.config.js @@ -0,0 +1,9 @@ +module.exports = { + solidity: '0.8.18', + settings: { + optimizer: { + enabled: true, + runs: 5000, + }, + }, +}; diff --git a/stealthdrop/test/index.test.ts b/stealthdrop/test/index.test.ts new file mode 100644 index 0000000..05cfcfd --- /dev/null +++ b/stealthdrop/test/index.test.ts @@ -0,0 +1,199 @@ +// @ts-ignore +import ethers, { Contract } from 'ethers'; +import fs from 'fs'; +import path from 'path'; +import { exec, execSync } from 'child_process'; +import { MerkleTree } from '../utils/merkleTree'; // MerkleTree.js +import merkle from './merkle.json'; // merkle +import keccak256 from 'keccak256'; + +// @ts-ignore -- no types +import blake2 from 'blake2'; + +import { Fr } from '@aztec/bb.js/dest/types'; + +import airdrop from '../artifacts/circuits/contract/Airdrop.sol/Airdrop.json'; +import verifier from '../artifacts/circuits/contract/plonk_vk.sol/UltraVerifier.json'; + +import { test, beforeAll, describe, expect } from 'vitest'; +interface AbiHashes { + [key: string]: string; +} + +// to avoid re-proving every time +// we store a hash of every input and hash of the circuit +// if they change, we re-prove +// otherwise we just use the existing proof +function prove(abi: any, testCase: string) { + // get the existent hashes for different proof names + const abiHashes: AbiHashes = JSON.parse( + fs.readFileSync(path.join(__dirname, '../circuits/proofs/abiHashes.json'), 'utf8'), + ); + + // write the TOML file string + const proverToml = ` + pub_key = [${abi.pub_key}]\n + signature = [${abi.signature}]\n + hashed_message = [${abi.hashed_message}]\n + nullifier = [${abi.nullifier}]\n + merkle_path = [${abi.merkle_path}]\n + index = ${abi.index}\n + merkle_root = "${abi.merkle_root}"\n + claimer_pub = "${abi.claimer}"\n + claimer_priv = "${abi.claimer}" + `; + + // get the hash of the circuit + const circuit = fs.readFileSync(path.join(__dirname, '../circuits/src/main.nr'), 'utf8'); + + // hash all of it together + const abiHash = keccak256(proverToml.concat(circuit)).toString('hex'); + + // we also need to prove if there's no proof already + let existentProof: string | boolean; + try { + existentProof = fs.readFileSync( + path.join(__dirname, `../circuits/proofs/${testCase}.proof`), + 'utf8', + ); + } catch (e) { + existentProof = false; + } + + // if they differ, we need to re-prove + if (abiHashes[testCase] !== abiHash || !existentProof) { + console.log(`Proving "${testCase}"...`); + fs.writeFileSync('circuits/Prover.toml', proverToml); + + execSync(`nargo prove ${testCase} --show-output`); + + abiHashes[testCase] = abiHash; + const updatedHashes = JSON.stringify(abiHashes, null, 2); + fs.writeFileSync(path.join(__dirname, '../circuits/proofs/abiHashes.json'), updatedHashes); + console.log(`New proof for "${testCase}" written`); + } + + const proof = fs.readFileSync(`circuits/proofs/${testCase}.proof`); + return proof; +} + +describe('Setup', () => { + let airdropContract: Contract; + let merkleTree: MerkleTree; + let messageToHash = '0xabfd76608112cc843dca3a31931f3974da5f9f5d32833e7817bc7e5c50c7821e'; + let hashedMessage: string; + let provider = ethers.getDefaultProvider('http://127.0.0.1:8545'); + let deployerWallet = new ethers.Wallet( + process.env.DEPLOYER_PRIVATE_KEY as unknown as string, + provider, + ); + + beforeAll(async () => { + execSync('npx hardhat compile'); + const Verifier = new ethers.ContractFactory(verifier.abi, verifier.bytecode, deployerWallet); + const verifierContract = await Verifier.deploy(); + const verifierAddr = await verifierContract.deployed(); + + const Airdrop = new ethers.ContractFactory(airdrop.abi, airdrop.bytecode, deployerWallet); + + // Setup merkle tree + merkleTree = new MerkleTree(4); + await merkleTree.initialize([]); + + await Promise.all( + merkle.map(async (addr: any) => { + // @ts-ignore + const leaf = Fr.fromString(addr); + merkleTree.insert(leaf); + }), + ); + + hashedMessage = ethers.utils.hashMessage(messageToHash); // keccak of "signthis" + airdropContract = await Airdrop.deploy( + merkleTree.root().toString(), + hashedMessage, + verifierAddr.address, + '3500000000000000000000', + ); + await airdropContract.deployed(); + console.log('Airdrop deployed to:', airdropContract.address); + }); + + describe('Airdrop', () => { + let user1: ethers.Wallet; + let user2: ethers.Wallet; + let claimer1: ethers.Wallet; + let claimer2: ethers.Wallet; + + beforeAll(async () => { + const provider = ethers.getDefaultProvider('http://127.0.0.1:8545'); + user1 = new ethers.Wallet(process.env.USER1_PRIVATE_KEY as string, provider); + claimer1 = new ethers.Wallet(process.env.CLAIMER1_PRIVATE_KEY as string, provider); + claimer2 = new ethers.Wallet(process.env.CLAIMER2_PRIVATE_KEY as string, provider); + }); + + const getUserAbi = async (user: ethers.Wallet) => { + const leaf = Fr.fromString(user.address); + const pubKey = ethers.utils.arrayify(user.publicKey).slice(1); + const signature = await user1.signMessage(messageToHash); + const index = merkleTree.getIndex(leaf); + const mt = merkleTree.proof(index); + const nullifier = blake2 + .createHash('blake2s') + .update(ethers.utils.arrayify(signature).slice(0, 64)) + .digest(); + + const userAbi = { + pub_key: pubKey, + signature: ethers.utils.arrayify(signature).slice(0, 64), + hashed_message: ethers.utils.arrayify(hashedMessage), + nullifier: Uint8Array.from(nullifier), + merkle_path: mt.pathElements.map(el => `"${el.toString()}"`), + index: index, + merkle_root: mt.root.toString(), + claimer: claimer1.address, + }; + return userAbi; + }; + + test('Collects tokens from an eligible user', async () => { + const userAbi = await getUserAbi(user1); + console.log('Valid ABI', userAbi); + const proof = prove(userAbi, 'valid'); + expect(proof).to.exist; + + const connectedAirdropContract = airdropContract.connect(claimer1); + const balanceBefore = await connectedAirdropContract.balanceOf(claimer1.address); + expect(balanceBefore.toNumber()).to.equal(0); + await connectedAirdropContract.claim( + '0x' + proof.toString(), + ethers.utils.hexlify(userAbi.nullifier), + ); + + const balanceAfter = await connectedAirdropContract.balanceOf(claimer1.address); + expect(balanceAfter.toNumber()).to.equal(1); + }); + + test('Fails to collect tokens of an eligible user with a non-authorized account (front-running)', async () => { + try { + const userAbi = await getUserAbi(user1); + console.log('Valid ABI', userAbi); + const proof = prove(userAbi, 'valid'); + expect(proof).to.exist; + + const connectedAirdropContract = airdropContract.connect(claimer2); + const balanceBefore = await connectedAirdropContract.balanceOf(claimer2.address); + expect(balanceBefore.toNumber()).to.equal(0); + await connectedAirdropContract.claim( + '0x' + proof.toString(), + ethers.utils.hexlify(userAbi.nullifier), + ); + + const balanceAfter = await connectedAirdropContract.balanceOf(claimer2.address); + expect(balanceAfter.toNumber()).to.equal(0); + } catch (e: any) { + expect(e.error.reason).to.contain('PROOF_FAILURE()'); + } + }); + }); +}); diff --git a/stealthdrop/test/merkle.json b/stealthdrop/test/merkle.json new file mode 100644 index 0000000..b0689a9 --- /dev/null +++ b/stealthdrop/test/merkle.json @@ -0,0 +1,11 @@ +[ + "0xf39Fd6e51aad88F6F4ce6aB8827279cffFb92266", + "0x70997970C51812dc3A010C7d01b50e0d17dc79C8", + "0x3C44CdDdB6a900fa2b585dd299e03d12FA4293BC", + "0x90F79bf6EB2c4f870365E785982E1f101E93b906", + "0x15d34AAf54267DB7D7c367839AAf71A00a2C6A65", + "0x9965507D1a55bcC2695C58ba16FB37d819B0A4dc", + "0x976EA74026E726554dB657fA54763abd0C3a0aa9", + "0x14dC79964da2C08b23698B3D3cc7Ca32193d9955", + "0x23618e81E3f5cdF7f54C3d65f7FBc0aBf5B21E8f" +] diff --git a/stealthdrop/tsconfig.json b/stealthdrop/tsconfig.json new file mode 100644 index 0000000..1a1e992 --- /dev/null +++ b/stealthdrop/tsconfig.json @@ -0,0 +1,25 @@ +{ + "compilerOptions": { + "target": "es2020", + "useDefineForClassFields": true, + "lib": ["DOM", "DOM.Iterable", "ESNext"], + "allowJs": false, + "skipLibCheck": true, + "esModuleInterop": true, + "allowSyntheticDefaultImports": true, + "strict": true, + "forceConsistentCasingInFileNames": true, + "module": "CommonJS", + "moduleResolution": "Node", + "resolveJsonModule": true, + "isolatedModules": true, + "noEmit": true, + "jsx": "preserve", + "noImplicitAny": true, + "strictNullChecks": true, + "incremental": true + }, + "exclude": ["dist", "node_modules"], + "include": ["./test", "./src", "circuits/scripts"], + "files": ["hardhat.config.ts"] +} diff --git a/stealthdrop/utils/merkleTree.ts b/stealthdrop/utils/merkleTree.ts new file mode 100644 index 0000000..2ee7226 --- /dev/null +++ b/stealthdrop/utils/merkleTree.ts @@ -0,0 +1,163 @@ +// @ts-ignore -- no types +import { newBarretenbergApiSync } from '@aztec/bb.js/dest/factory'; +// @ts-ignore -- no types +import { Fr } from '@aztec/bb.js/dest/types'; + +// thanks @vezenovm for this beautiful merkle tree implementation +export interface IMerkleTree { + root: () => Fr; + proof: (index: number) => { + root: Fr; + pathElements: Fr[]; + pathIndices: number[]; + leaf: Fr; + }; + insert: (leaf: Fr) => void; +} + +export class MerkleTree implements IMerkleTree { + readonly zeroValue = Fr.fromString( + '18d85f3de6dcd78b6ffbf5d8374433a5528d8e3bf2100df0b7bb43a4c59ebd63', + ); + levels: number; + storage: Map; + zeros: Fr[]; + totalLeaves: number; + bb: any; + + constructor(levels: number) { + this.levels = levels; + this.storage = new Map(); + this.zeros = []; + this.totalLeaves = 0; + } + + async initialize(defaultLeaves: Fr[]) { + this.bb = await newBarretenbergApiSync(); + + // build zeros depends on tree levels + let currentZero = this.zeroValue; + this.zeros.push(currentZero); + + for (let i = 0; i < this.levels; i++) { + currentZero = this.pedersenHash(currentZero, currentZero); + this.zeros.push(currentZero); + } + } + + pedersenHash(left: Fr, right: Fr): Fr { + let hashRes = this.bb.pedersenHashPair(left, right); + return hashRes; + } + + static indexToKey(level: number, index: number): string { + return `${level}-${index}`; + } + + getIndex(leaf: Fr): number { + for (const [key, value] of this.storage) { + if (value.toString() === leaf.toString()) { + return Number(key.split('-')[1]); + } + } + return -1; + } + + root(): Fr { + return this.storage.get(MerkleTree.indexToKey(this.levels, 0)) || this.zeros[this.levels]; + } + + proof(indexOfLeaf: number) { + let pathElements: Fr[] = []; + let pathIndices: number[] = []; + + const leaf = this.storage.get(MerkleTree.indexToKey(0, indexOfLeaf)); + if (!leaf) throw new Error('leaf not found'); + + // store sibling into pathElements and target's indices into pathIndices + const handleIndex = (level: number, currentIndex: number, siblingIndex: number) => { + const siblingValue = + this.storage.get(MerkleTree.indexToKey(level, siblingIndex)) || this.zeros[level]; + pathElements.push(siblingValue); + pathIndices.push(currentIndex % 2); + }; + + this.traverse(indexOfLeaf, handleIndex); + + return { + root: this.root(), + pathElements, + pathIndices, + leaf: leaf, + }; + } + + insert(leaf: Fr) { + const index = this.totalLeaves; + this.update(index, leaf, true); + this.totalLeaves++; + } + + update(index: number, newLeaf: Fr, isInsert: boolean = false) { + if (!isInsert && index >= this.totalLeaves) { + throw Error('Use insert method for new elements.'); + } else if (isInsert && index < this.totalLeaves) { + throw Error('Use update method for existing elements.'); + } + + let keyValueToStore: { key: string; value: Fr }[] = []; + let currentElement: Fr = newLeaf; + + const handleIndex = async (level: number, currentIndex: number, siblingIndex: number) => { + const siblingElement = + this.storage.get(MerkleTree.indexToKey(level, siblingIndex)) || this.zeros[level]; + + let left: Fr; + let right: Fr; + if (currentIndex % 2 === 0) { + left = currentElement; + right = siblingElement; + } else { + left = siblingElement; + right = currentElement; + } + + keyValueToStore.push({ + key: MerkleTree.indexToKey(level, currentIndex), + value: currentElement, + }); + currentElement = this.pedersenHash(left, right); + }; + + this.traverse(index, handleIndex); + + // push root to the end + keyValueToStore.push({ + key: MerkleTree.indexToKey(this.levels, 0), + value: currentElement, + }); + + keyValueToStore.forEach(o => { + this.storage.set(o.key, o.value); + }); + } + + // traverse from leaf to root with handler for target node and sibling node + private traverse( + indexOfLeaf: number, + handler: (level: number, currentIndex: number, siblingIndex: number) => void, + ) { + let currentIndex = indexOfLeaf; + for (let i = 0; i < this.levels; i++) { + let siblingIndex; + if (currentIndex % 2 === 0) { + siblingIndex = currentIndex + 1; + } else { + siblingIndex = currentIndex - 1; + } + + handler(i, currentIndex, siblingIndex); + currentIndex = Math.floor(currentIndex / 2); + } + } +} diff --git a/stealthdrop/vitest.config.ts b/stealthdrop/vitest.config.ts new file mode 100644 index 0000000..d01b0fe --- /dev/null +++ b/stealthdrop/vitest.config.ts @@ -0,0 +1,14 @@ +/// + +import { defineConfig } from 'vitest/config'; + +export default defineConfig({ + root: '.', + test: { + clearMocks: true, + globals: true, + setupFiles: ['dotenv/config'], + watchExclude: ['node_modules', 'src', 'artifacts', 'cache'], + forceRerunTriggers: ['contract/**/*.sol'], + }, +}); diff --git a/stealthdrop/yarn.lock b/stealthdrop/yarn.lock new file mode 100644 index 0000000..0bb8273 --- /dev/null +++ b/stealthdrop/yarn.lock @@ -0,0 +1,5416 @@ +# THIS IS AN AUTOGENERATED FILE. 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