// SPDX-License-Identifier: GPL-3.0 /* Copyright 2021 0KIMS association. This file is generated with [snarkJS](https://github.com/iden3/snarkjs). snarkJS is a free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. snarkJS is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with snarkJS. If not, see . */ pragma solidity >=0.7.0 <0.9.0; contract Groth16Verifier { // Scalar field size uint256 constant r = 21888242871839275222246405745257275088548364400416034343698204186575808495617; // Base field size uint256 constant q = 21888242871839275222246405745257275088696311157297823662689037894645226208583; // Verification Key data uint256 constant alphax = <%= vk_alpha_1[0] %>; uint256 constant alphay = <%= vk_alpha_1[1] %>; uint256 constant betax1 = <%= vk_beta_2[0][1] %>; uint256 constant betax2 = <%= vk_beta_2[0][0] %>; uint256 constant betay1 = <%= vk_beta_2[1][1] %>; uint256 constant betay2 = <%= vk_beta_2[1][0] %>; uint256 constant gammax1 = <%= vk_gamma_2[0][1] %>; uint256 constant gammax2 = <%= vk_gamma_2[0][0] %>; uint256 constant gammay1 = <%= vk_gamma_2[1][1] %>; uint256 constant gammay2 = <%= vk_gamma_2[1][0] %>; uint256 constant deltax1 = <%= vk_delta_2[0][1] %>; uint256 constant deltax2 = <%= vk_delta_2[0][0] %>; uint256 constant deltay1 = <%= vk_delta_2[1][1] %>; uint256 constant deltay2 = <%= vk_delta_2[1][0] %>; <% for (let i=0; i uint256 constant IC<%=i%>x = <%=IC[i][0]%>; uint256 constant IC<%=i%>y = <%=IC[i][1]%>; <% } %> // Memory data uint16 constant pVk = 0; uint16 constant pPairing = 128; uint16 constant pLastMem = 896; function verifyProof(uint[2] calldata _pA, uint[2][2] calldata _pB, uint[2] calldata _pC, uint[<%=IC.length-1%>] calldata _pubSignals) public view returns (bool) { assembly { function checkField(v) { if iszero(lt(v, q)) { mstore(0, 0) return(0, 0x20) } } // G1 function to multiply a G1 value(x,y) to value in an address function g1_mulAccC(pR, x, y, s) { let success let mIn := mload(0x40) mstore(mIn, x) mstore(add(mIn, 32), y) mstore(add(mIn, 64), s) success := staticcall(sub(gas(), 2000), 7, mIn, 96, mIn, 64) if iszero(success) { mstore(0, 0) return(0, 0x20) } mstore(add(mIn, 64), mload(pR)) mstore(add(mIn, 96), mload(add(pR, 32))) success := staticcall(sub(gas(), 2000), 6, mIn, 128, pR, 64) if iszero(success) { mstore(0, 0) return(0, 0x20) } } function checkPairing(pA, pB, pC, pubSignals, pMem) -> isOk { let _pPairing := add(pMem, pPairing) let _pVk := add(pMem, pVk) mstore(_pVk, IC0x) mstore(add(_pVk, 32), IC0y) // Compute the linear combination vk_x <% for (let i = 1; i <= nPublic; i++) { %> g1_mulAccC(_pVk, IC<%=i%>x, IC<%=i%>y, calldataload(add(pubSignals, <%=(i-1)*32%>))) <% } %> // -A mstore(_pPairing, calldataload(pA)) mstore(add(_pPairing, 32), mod(sub(q, calldataload(add(pA, 32))), q)) // B mstore(add(_pPairing, 64), calldataload(pB)) mstore(add(_pPairing, 96), calldataload(add(pB, 32))) mstore(add(_pPairing, 128), calldataload(add(pB, 64))) mstore(add(_pPairing, 160), calldataload(add(pB, 96))) // alpha1 mstore(add(_pPairing, 192), alphax) mstore(add(_pPairing, 224), alphay) // beta2 mstore(add(_pPairing, 256), betax1) mstore(add(_pPairing, 288), betax2) mstore(add(_pPairing, 320), betay1) mstore(add(_pPairing, 352), betay2) // vk_x mstore(add(_pPairing, 384), mload(add(pMem, pVk))) mstore(add(_pPairing, 416), mload(add(pMem, add(pVk, 32)))) // gamma2 mstore(add(_pPairing, 448), gammax1) mstore(add(_pPairing, 480), gammax2) mstore(add(_pPairing, 512), gammay1) mstore(add(_pPairing, 544), gammay2) // C mstore(add(_pPairing, 576), calldataload(pC)) mstore(add(_pPairing, 608), calldataload(add(pC, 32))) // delta2 mstore(add(_pPairing, 640), deltax1) mstore(add(_pPairing, 672), deltax2) mstore(add(_pPairing, 704), deltay1) mstore(add(_pPairing, 736), deltay2) let success := staticcall(sub(gas(), 2000), 8, _pPairing, 768, _pPairing, 0x20) isOk := and(success, mload(_pPairing)) } let pMem := mload(0x40) mstore(0x40, add(pMem, pLastMem)) // Validate that all evaluations ∈ F <% for (let i=0; i checkField(calldataload(add(_pubSignals, <%=i*32%>))) <% } %> // Validate all evaluations let isValid := checkPairing(_pA, _pB, _pC, _pubSignals, pMem) mstore(0, isValid) return(0, 0x20) } } }