// SPDX-License-Identifier: GPL-3.0 // score-over-v1: Groth16 verifier generated by snarkjs 0.7.6 from verification_key.json in this folder. // Key ceremony: public PSE phase 1 (2^9), one Super Wallet phase-2 contribution, Xphere block 49689564 as the beacon (TRANSCRIPT.md). // verifyProof(uint256[2],uint256[2][2],uint256[2],uint256[3]); public signals: commitment, threshold, nonce. /* 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 = 16428432848801857252194528405604668803277877773566238944394625302971855135431; uint256 constant alphay = 16846502678714586896801519656441059708016666274385668027902869494772365009666; uint256 constant betax1 = 3182164110458002340215786955198810119980427837186618912744689678939861918171; uint256 constant betax2 = 16348171800823588416173124589066524623406261996681292662100840445103873053252; uint256 constant betay1 = 4920802715848186258981584729175884379674325733638798907835771393452862684714; uint256 constant betay2 = 19687132236965066906216944365591810874384658708175106803089633851114028275753; uint256 constant gammax1 = 11559732032986387107991004021392285783925812861821192530917403151452391805634; uint256 constant gammax2 = 10857046999023057135944570762232829481370756359578518086990519993285655852781; uint256 constant gammay1 = 4082367875863433681332203403145435568316851327593401208105741076214120093531; uint256 constant gammay2 = 8495653923123431417604973247489272438418190587263600148770280649306958101930; uint256 constant deltax1 = 20059422252175466170016411798608223176402637896734940146942796326077199224155; uint256 constant deltax2 = 21237992702376269141913680122291574511927549467315815079162992519798742180814; uint256 constant deltay1 = 18662469416426448832752328882106920979332056484488355033284818731060368133739; uint256 constant deltay2 = 19039249687630461978293209685294307258077359391295468188165693615130241689739; uint256 constant IC0x = 15764053543104409725060490376174756099204608481400475027969368715221531852866; uint256 constant IC0y = 16824961602507208269474656446631412163512874042278871441149294094791856836122; uint256 constant IC1x = 19325803271380545138456072717526218874154702369588533796650476628346980803948; uint256 constant IC1y = 10781693015631989208919462948158957334533503299399706299812700364568975096287; uint256 constant IC2x = 4770222304379366593970629985621808000564935298316230179338156173855699276207; uint256 constant IC2y = 5419542016703076131806786410314291255912742911940904887589543041110150139059; uint256 constant IC3x = 12814352387845120540585159532207400320671474833386996825561072161476117205319; uint256 constant IC3y = 1130881337695772191738129871933548040924222057343081753034224105503076696287; // 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[3] calldata _pubSignals) public view returns (bool) { assembly { function checkField(v) { if iszero(lt(v, r)) { 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 g1_mulAccC(_pVk, IC1x, IC1y, calldataload(add(pubSignals, 0))) g1_mulAccC(_pVk, IC2x, IC2y, calldataload(add(pubSignals, 32))) g1_mulAccC(_pVk, IC3x, IC3y, calldataload(add(pubSignals, 64))) // -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 checkField(calldataload(add(_pubSignals, 0))) checkField(calldataload(add(_pubSignals, 32))) checkField(calldataload(add(_pubSignals, 64))) // Validate all evaluations let isValid := checkPairing(_pA, _pB, _pC, _pubSignals, pMem) mstore(0, isValid) return(0, 0x20) } } }