// 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 = 20491192805390485299153009773594534940189261866228447918068658471970481763042; uint256 constant alphay = 9383485363053290200918347156157836566562967994039712273449902621266178545958; uint256 constant betax1 = 4252822878758300859123897981450591353533073413197771768651442665752259397132; uint256 constant betax2 = 6375614351688725206403948262868962793625744043794305715222011528459656738731; uint256 constant betay1 = 21847035105528745403288232691147584728191162732299865338377159692350059136679; uint256 constant betay2 = 10505242626370262277552901082094356697409835680220590971873171140371331206856; uint256 constant gammax1 = 11559732032986387107991004021392285783925812861821192530917403151452391805634; uint256 constant gammax2 = 10857046999023057135944570762232829481370756359578518086990519993285655852781; uint256 constant gammay1 = 4082367875863433681332203403145435568316851327593401208105741076214120093531; uint256 constant gammay2 = 8495653923123431417604973247489272438418190587263600148770280649306958101930; uint256 constant deltax1 = 1668323501672964604911431804142266013250380587483576094566949227275849579036; uint256 constant deltax2 = 12043754404802191763554326994664886008979042643626290185762540825416902247219; uint256 constant deltay1 = 7710631539206257456743780535472368339139328733484942210876916214502466455394; uint256 constant deltay2 = 13740680757317479711909903993315946540841369848973133181051452051592786724563; uint256 constant IC0x = 8446592859352799428420270221449902464741693648963397251242447530457567083492; uint256 constant IC0y = 1064796367193003797175961162477173481551615790032213185848276823815288302804; uint256 constant IC1x = 3179835575189816632597428042194253779818690147323192973511715175294048485951; uint256 constant IC1y = 20895841676865356752879376687052266198216014795822152491318012491767775979074; uint256 constant IC2x = 5332723250224941161709478398807683311971555792614491788690328996478511465287; uint256 constant IC2y = 21199491073419440416471372042641226693637837098357067793586556692319371762571; uint256 constant IC3x = 12457994489566736295787256452575216703923664299075106359829199968023158780583; uint256 constant IC3y = 19706766271952591897761291684837117091856807401404423804318744964752784280790; uint256 constant IC4x = 19617808913178163826953378459323299110911217259216006187355745713323154132237; uint256 constant IC4y = 21663537384585072695701846972542344484111393047775983928357046779215877070466; uint256 constant IC5x = 6834578911681792552110317589222010969491336870276623105249474534788043166867; uint256 constant IC5y = 15060583660288623605191393599883223885678013570733629274538391874953353488393; // Memory data uint16 constant pVk = 0; uint16 constant pPairing = 128; uint16 constant pLastMem = 896; function verifyProof( uint256[2] calldata _pA, uint256[2][2] calldata _pB, uint256[2] calldata _pC, uint256[5] 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))) g1_mulAccC(_pVk, IC4x, IC4y, calldataload(add(pubSignals, 96))) g1_mulAccC(_pVk, IC5x, IC5y, calldataload(add(pubSignals, 128))) // -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))) checkField(calldataload(add(_pubSignals, 96))) checkField(calldataload(add(_pubSignals, 128))) // Validate all evaluations let isValid := checkPairing(_pA, _pB, _pC, _pubSignals, pMem) mstore(0, isValid) return(0, 0x20) } } }