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Verifier.sol
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// 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 <https://www.gnu.org/licenses/>.
*/
pragma solidity >=0.7.0 <0.9.0;
import "hardhat/console.sol";
contract PlonkVerifier {
// Omega
uint256 constant w1 = 9088801421649573101014283686030284801466796108869023335878462724291607593530;
// Scalar field size
uint256 constant q = 21888242871839275222246405745257275088548364400416034343698204186575808495617;
// Base field size
uint256 constant qf = 21888242871839275222246405745257275088696311157297823662689037894645226208583;
// [1]_1
uint256 constant G1x = 1;
uint256 constant G1y = 2;
// [1]_2
uint256 constant G2x1 = 10857046999023057135944570762232829481370756359578518086990519993285655852781;
uint256 constant G2x2 = 11559732032986387107991004021392285783925812861821192530917403151452391805634;
uint256 constant G2y1 = 8495653923123431417604973247489272438418190587263600148770280649306958101930;
uint256 constant G2y2 = 4082367875863433681332203403145435568316851327593401208105741076214120093531;
// Verification Key data
uint32 constant n = 64;
uint16 constant nPublic = 36;
uint16 constant nLagrange = 36;
uint256 constant Qmx = 0;
uint256 constant Qmy = 0;
uint256 constant Qlx = 182678156399217771182955313842724566760499080232621480538621952242537359665;
uint256 constant Qly = 17359402270420386630984930270391132626087891696248148455580200264258142569125;
uint256 constant Qrx = 20276858269436849705520548603679530768022766136489953371404279128715948782661;
uint256 constant Qry = 7864710651442874572521343711704059575389279465051596928172250820350842869187;
uint256 constant Qox = 20079899435580225062038175860337083631654565957509834273206168336271119240215;
uint256 constant Qoy = 3207005182692185106538041574404004845670291169798006554821759114824920282392;
uint256 constant Qcx = 10452080829043362754328785303137362729143804340185964890747977722984409384102;
uint256 constant Qcy = 17223778607455225591236703773383202046451677413260480975784495290422643271878;
uint256 constant S1x = 1930911565051133287514569390457358049519534928024038916788243937555383424214;
uint256 constant S1y = 18088693731945142964059078134696195726977584920919411792697902460826487612297;
uint256 constant S2x = 12474640598134425304040503809009341248740650884981706967414031555716485421353;
uint256 constant S2y = 18558700928199798652102152765079151125478502354805410418566803534264867429493;
uint256 constant S3x = 9865155928756797937077313681870170232376986387352575058438849705559495547727;
uint256 constant S3y = 5403433402889463556072762362900127066551481294453456767539145410284691541399;
uint256 constant k1 = 2;
uint256 constant k2 = 3;
uint256 constant X2x1 = 21831381940315734285607113342023901060522397560371972897001948545212302161822;
uint256 constant X2x2 = 17231025384763736816414546592865244497437017442647097510447326538965263639101;
uint256 constant X2y1 = 2388026358213174446665280700919698872609886601280537296205114254867301080648;
uint256 constant X2y2 = 11507326595632554467052522095592665270651932854513688777769618397986436103170;
// Proof calldata
// Byte offset of every parameter of the calldata
// Polynomial commitments
uint16 constant pA = 4 + 0;
uint16 constant pB = 4 + 64;
uint16 constant pC = 4 + 128;
uint16 constant pZ = 4 + 192;
uint16 constant pT1 = 4 + 256;
uint16 constant pT2 = 4 + 320;
uint16 constant pT3 = 4 + 384;
uint16 constant pWxi = 4 + 448;
uint16 constant pWxiw = 4 + 512;
// Opening evaluations
uint16 constant pEval_a = 4 + 576;
uint16 constant pEval_b = 4 + 608;
uint16 constant pEval_c = 4 + 640;
uint16 constant pEval_s1 = 4 + 672;
uint16 constant pEval_s2 = 4 + 704;
uint16 constant pEval_zw = 4 + 736;
// Memory data
// Challenges
uint16 constant pAlpha = 0;
uint16 constant pBeta = 32;
uint16 constant pGamma = 64;
uint16 constant pXi = 96;
uint16 constant pXin = 128;
uint16 constant pBetaXi = 160;
uint16 constant pV1 = 192;
uint16 constant pV2 = 224;
uint16 constant pV3 = 256;
uint16 constant pV4 = 288;
uint16 constant pV5 = 320;
uint16 constant pU = 352;
uint16 constant pPI = 384;
uint16 constant pEval_r0 = 416;
uint16 constant pD = 448;
uint16 constant pF = 512;
uint16 constant pE = 576;
uint16 constant pTmp = 640;
uint16 constant pAlpha2 = 704;
uint16 constant pZh = 736;
uint16 constant pZhInv = 768;
uint16 constant pEval_l1 = 800;
uint16 constant pEval_l2 = 832;
uint16 constant pEval_l3 = 864;
uint16 constant pEval_l4 = 896;
uint16 constant pEval_l5 = 928;
uint16 constant pEval_l6 = 960;
uint16 constant pEval_l7 = 992;
uint16 constant pEval_l8 = 1024;
uint16 constant pEval_l9 = 1056;
uint16 constant pEval_l10 = 1088;
uint16 constant pEval_l11 = 1120;
uint16 constant pEval_l12 = 1152;
uint16 constant pEval_l13 = 1184;
uint16 constant pEval_l14 = 1216;
uint16 constant pEval_l15 = 1248;
uint16 constant pEval_l16 = 1280;
uint16 constant pEval_l17 = 1312;
uint16 constant pEval_l18 = 1344;
uint16 constant pEval_l19 = 1376;
uint16 constant pEval_l20 = 1408;
uint16 constant pEval_l21 = 1440;
uint16 constant pEval_l22 = 1472;
uint16 constant pEval_l23 = 1504;
uint16 constant pEval_l24 = 1536;
uint16 constant pEval_l25 = 1568;
uint16 constant pEval_l26 = 1600;
uint16 constant pEval_l27 = 1632;
uint16 constant pEval_l28 = 1664;
uint16 constant pEval_l29 = 1696;
uint16 constant pEval_l30 = 1728;
uint16 constant pEval_l31 = 1760;
uint16 constant pEval_l32 = 1792;
uint16 constant pEval_l33 = 1824;
uint16 constant pEval_l34 = 1856;
uint16 constant pEval_l35 = 1888;
uint16 constant pEval_l36 = 1920;
uint16 constant lastMem = 1952;
function verifyProof(uint256[24] calldata _proof, uint256[36] calldata _pubSignals) public view returns (bool) {
assembly {
/////////
// Computes the inverse using the extended euclidean algorithm
/////////
function inverse(a, q) -> inv {
let t := 0
let newt := 1
let r := q
let newr := a
let quotient
let aux
for { } newr { } {
quotient := sdiv(r, newr)
aux := sub(t, mul(quotient, newt))
t:= newt
newt:= aux
aux := sub(r,mul(quotient, newr))
r := newr
newr := aux
}
if gt(r, 1) { revert(0,0) }
if slt(t, 0) { t:= add(t, q) }
inv := t
}
///////
// Computes the inverse of an array of values
// See https://vitalik.ca/general/2018/07/21/starks_part_3.html in section where explain fields operations
//////
function inverseArray(pVals, n) {
let pAux := mload(0x40) // Point to the next free position
let pIn := pVals
let lastPIn := add(pVals, mul(n, 32)) // Read n elemnts
let acc := mload(pIn) // Read the first element
pIn := add(pIn, 32) // Point to the second element
let inv
for { } lt(pIn, lastPIn) {
pAux := add(pAux, 32)
pIn := add(pIn, 32)
}
{
mstore(pAux, acc)
acc := mulmod(acc, mload(pIn), q)
}
acc := inverse(acc, q)
// At this point pAux pint to the next free position we substract 1 to point to the last used
pAux := sub(pAux, 32)
// pIn points to the n+1 element, we substract to point to n
pIn := sub(pIn, 32)
lastPIn := pVals // We don't process the first element
for { } gt(pIn, lastPIn) {
pAux := sub(pAux, 32)
pIn := sub(pIn, 32)
}
{
inv := mulmod(acc, mload(pAux), q)
acc := mulmod(acc, mload(pIn), q)
mstore(pIn, inv)
}
// pIn points to first element, we just set it.
mstore(pIn, acc)
}
function checkField(v) {
if iszero(lt(v, q)) {
mstore(0, 0)
return(0,0x20)
}
}
function checkInput() {
checkField(calldataload(pEval_a))
checkField(calldataload(pEval_b))
checkField(calldataload(pEval_c))
checkField(calldataload(pEval_s1))
checkField(calldataload(pEval_s2))
checkField(calldataload(pEval_zw))
}
function calculateChallenges(pMem, pPublic) {
let beta
let aux
let mIn := mload(0x40) // Pointer to the next free memory position
// Compute challenge.beta & challenge.gamma
mstore(mIn, Qmx)
mstore(add(mIn, 32), Qmy)
mstore(add(mIn, 64), Qlx)
mstore(add(mIn, 96), Qly)
mstore(add(mIn, 128), Qrx)
mstore(add(mIn, 160), Qry)
mstore(add(mIn, 192), Qox)
mstore(add(mIn, 224), Qoy)
mstore(add(mIn, 256), Qcx)
mstore(add(mIn, 288), Qcy)
mstore(add(mIn, 320), S1x)
mstore(add(mIn, 352), S1y)
mstore(add(mIn, 384), S2x)
mstore(add(mIn, 416), S2y)
mstore(add(mIn, 448), S3x)
mstore(add(mIn, 480), S3y)
mstore(add(mIn, 512), calldataload(add(pPublic, 0)))
mstore(add(mIn, 544), calldataload(add(pPublic, 32)))
mstore(add(mIn, 576), calldataload(add(pPublic, 64)))
mstore(add(mIn, 608), calldataload(add(pPublic, 96)))
mstore(add(mIn, 640), calldataload(add(pPublic, 128)))
mstore(add(mIn, 672), calldataload(add(pPublic, 160)))
mstore(add(mIn, 704), calldataload(add(pPublic, 192)))
mstore(add(mIn, 736), calldataload(add(pPublic, 224)))
mstore(add(mIn, 768), calldataload(add(pPublic, 256)))
mstore(add(mIn, 800), calldataload(add(pPublic, 288)))
mstore(add(mIn, 832), calldataload(add(pPublic, 320)))
mstore(add(mIn, 864), calldataload(add(pPublic, 352)))
mstore(add(mIn, 896), calldataload(add(pPublic, 384)))
mstore(add(mIn, 928), calldataload(add(pPublic, 416)))
mstore(add(mIn, 960), calldataload(add(pPublic, 448)))
mstore(add(mIn, 992), calldataload(add(pPublic, 480)))
mstore(add(mIn, 1024), calldataload(add(pPublic, 512)))
mstore(add(mIn, 1056), calldataload(add(pPublic, 544)))
mstore(add(mIn, 1088), calldataload(add(pPublic, 576)))
mstore(add(mIn, 1120), calldataload(add(pPublic, 608)))
mstore(add(mIn, 1152), calldataload(add(pPublic, 640)))
mstore(add(mIn, 1184), calldataload(add(pPublic, 672)))
mstore(add(mIn, 1216), calldataload(add(pPublic, 704)))
mstore(add(mIn, 1248), calldataload(add(pPublic, 736)))
mstore(add(mIn, 1280), calldataload(add(pPublic, 768)))
mstore(add(mIn, 1312), calldataload(add(pPublic, 800)))
mstore(add(mIn, 1344), calldataload(add(pPublic, 832)))
mstore(add(mIn, 1376), calldataload(add(pPublic, 864)))
mstore(add(mIn, 1408), calldataload(add(pPublic, 896)))
mstore(add(mIn, 1440), calldataload(add(pPublic, 928)))
mstore(add(mIn, 1472), calldataload(add(pPublic, 960)))
mstore(add(mIn, 1504), calldataload(add(pPublic, 992)))
mstore(add(mIn, 1536), calldataload(add(pPublic, 1024)))
mstore(add(mIn, 1568), calldataload(add(pPublic, 1056)))
mstore(add(mIn, 1600), calldataload(add(pPublic, 1088)))
mstore(add(mIn, 1632), calldataload(add(pPublic, 1120)))
mstore(add(mIn, 1664 ), calldataload(pA))
mstore(add(mIn, 1696 ), calldataload(add(pA, 32)))
mstore(add(mIn, 1728 ), calldataload(pB))
mstore(add(mIn, 1760 ), calldataload(add(pB, 32)))
mstore(add(mIn, 1792 ), calldataload(pC))
mstore(add(mIn, 1824 ), calldataload(add(pC, 32)))
beta := mod(keccak256(mIn, 1856), q)
mstore(add(pMem, pBeta), beta)
// challenges.gamma
mstore(add(pMem, pGamma), mod(keccak256(add(pMem, pBeta), 32), q))
// challenges.alpha
mstore(mIn, mload(add(pMem, pBeta)))
mstore(add(mIn, 32), mload(add(pMem, pGamma)))
mstore(add(mIn, 64), calldataload(pZ))
mstore(add(mIn, 96), calldataload(add(pZ, 32)))
aux := mod(keccak256(mIn, 128), q)
mstore(add(pMem, pAlpha), aux)
mstore(add(pMem, pAlpha2), mulmod(aux, aux, q))
// challenges.xi
mstore(mIn, aux)
mstore(add(mIn, 32), calldataload(pT1))
mstore(add(mIn, 64), calldataload(add(pT1, 32)))
mstore(add(mIn, 96), calldataload(pT2))
mstore(add(mIn, 128), calldataload(add(pT2, 32)))
mstore(add(mIn, 160), calldataload(pT3))
mstore(add(mIn, 192), calldataload(add(pT3, 32)))
aux := mod(keccak256(mIn, 224), q)
mstore( add(pMem, pXi), aux)
// challenges.v
mstore(mIn, aux)
mstore(add(mIn, 32), calldataload(pEval_a))
mstore(add(mIn, 64), calldataload(pEval_b))
mstore(add(mIn, 96), calldataload(pEval_c))
mstore(add(mIn, 128), calldataload(pEval_s1))
mstore(add(mIn, 160), calldataload(pEval_s2))
mstore(add(mIn, 192), calldataload(pEval_zw))
let v1 := mod(keccak256(mIn, 224), q)
mstore(add(pMem, pV1), v1)
// challenges.beta * challenges.xi
mstore(add(pMem, pBetaXi), mulmod(beta, aux, q))
// challenges.xi^n
aux:= mulmod(aux, aux, q)
aux:= mulmod(aux, aux, q)
aux:= mulmod(aux, aux, q)
aux:= mulmod(aux, aux, q)
aux:= mulmod(aux, aux, q)
aux:= mulmod(aux, aux, q)
mstore(add(pMem, pXin), aux)
// Zh
aux:= mod(add(sub(aux, 1), q), q)
mstore(add(pMem, pZh), aux)
mstore(add(pMem, pZhInv), aux) // We will invert later together with lagrange pols
// challenges.v^2, challenges.v^3, challenges.v^4, challenges.v^5
aux := mulmod(v1, v1, q)
mstore(add(pMem, pV2), aux)
aux := mulmod(aux, v1, q)
mstore(add(pMem, pV3), aux)
aux := mulmod(aux, v1, q)
mstore(add(pMem, pV4), aux)
aux := mulmod(aux, v1, q)
mstore(add(pMem, pV5), aux)
// challenges.u
mstore(mIn, calldataload(pWxi))
mstore(add(mIn, 32), calldataload(add(pWxi, 32)))
mstore(add(mIn, 64), calldataload(pWxiw))
mstore(add(mIn, 96), calldataload(add(pWxiw, 32)))
mstore(add(pMem, pU), mod(keccak256(mIn, 128), q))
}
function calculateLagrange(pMem) {
let w := 1
mstore(
add(pMem, pEval_l1),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l2),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l3),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l4),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l5),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l6),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l7),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l8),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l9),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l10),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l11),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l12),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l13),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l14),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l15),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l16),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l17),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l18),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l19),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l20),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l21),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l22),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l23),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l24),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l25),
mulmod(
n,
mod(
add(
sub(
mload(add(pMem, pXi)),
w
),
q
),
q
),
q
)
)
w := mulmod(w, w1, q)
mstore(
add(pMem, pEval_l26),
mulmod(
n,
mod(