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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/>. | ||
*/ | ||
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pragma solidity >=0.7.0 <0.9.0; | ||
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contract Groth16Verifier { | ||
// Scalar field size | ||
uint256 constant r = 21888242871839275222246405745257275088548364400416034343698204186575808495617; | ||
// Base field size | ||
uint256 constant q = 21888242871839275222246405745257275088696311157297823662689037894645226208583; | ||
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// 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 = 11559732032986387107991004021392285783925812861821192530917403151452391805634; | ||
uint256 constant deltax2 = 10857046999023057135944570762232829481370756359578518086990519993285655852781; | ||
uint256 constant deltay1 = 4082367875863433681332203403145435568316851327593401208105741076214120093531; | ||
uint256 constant deltay2 = 8495653923123431417604973247489272438418190587263600148770280649306958101930; | ||
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uint256 constant IC0x = 15894451574377776512828899822631291668771577388294000086031636794401495745108; | ||
uint256 constant IC0y = 20500448077471199298748085716990652313441855863081423369962236790299615428929; | ||
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uint256 constant IC1x = 20443159004875723874539838705410257721540879912284412356749567977659903444911; | ||
uint256 constant IC1y = 6665486236079333380974192300286824838457364136917664093397672618694121088151; | ||
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uint256 constant IC2x = 10165991286665292508270439031111897031430740961452613000505237863420993798921; | ||
uint256 constant IC2y = 9136420244822775537780456157556473424250276753802018153325130368437335488961; | ||
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uint256 constant IC3x = 20281597887882800919800535705908114405524156983380180098782819247741572489398; | ||
uint256 constant IC3y = 21607785824705256552752191795973183116557074570496562616281978326295728837624; | ||
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uint256 constant IC4x = 1650512345884490589024034798398413920131787599888143340099721452288283568309; | ||
uint256 constant IC4y = 17762263572124004609952079441932587287950558256360373694997362504497823608435; | ||
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uint256 constant IC5x = 19386768506626830282628824919708052542859521671332220831107354474836133656316; | ||
uint256 constant IC5y = 16910894476841255025828316106755038218889475958213840126357807581898033175271; | ||
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uint256 constant IC6x = 19307586423967294928893199260202402479766234412752252005480672310147892735668; | ||
uint256 constant IC6y = 11588134326531324221543008937081841914768042290177169066420262408448462215432; | ||
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uint256 constant IC7x = 19139469296120924050387585927788723421260614491257547987007007022510688394863; | ||
uint256 constant IC7y = 9288080661952604669905314745907900909227032270567060567695766882828890238075; | ||
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uint256 constant IC8x = 14398271946161621939632562577274465836963412570377151128691039469213756214983; | ||
uint256 constant IC8y = 5789907474461302660775855537997949676969273270738559295681426193011863858424; | ||
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// Memory data | ||
uint16 constant pVk = 0; | ||
uint16 constant pPairing = 128; | ||
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uint16 constant pLastMem = 896; | ||
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function verifyProof(uint[2] calldata _pA, uint[2][2] calldata _pB, uint[2] calldata _pC, uint[8] calldata _pubSignals) public view returns (bool) { | ||
assembly { | ||
function checkField(v) { | ||
if iszero(lt(v, q)) { | ||
mstore(0, 0) | ||
return(0, 0x20) | ||
} | ||
} | ||
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// 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) | ||
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success := staticcall(sub(gas(), 2000), 7, mIn, 96, mIn, 64) | ||
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if iszero(success) { | ||
mstore(0, 0) | ||
return(0, 0x20) | ||
} | ||
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mstore(add(mIn, 64), mload(pR)) | ||
mstore(add(mIn, 96), mload(add(pR, 32))) | ||
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success := staticcall(sub(gas(), 2000), 6, mIn, 128, pR, 64) | ||
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if iszero(success) { | ||
mstore(0, 0) | ||
return(0, 0x20) | ||
} | ||
} | ||
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function checkPairing(pA, pB, pC, pubSignals, pMem) -> isOk { | ||
let _pPairing := add(pMem, pPairing) | ||
let _pVk := add(pMem, pVk) | ||
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mstore(_pVk, IC0x) | ||
mstore(add(_pVk, 32), IC0y) | ||
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// Compute the linear combination vk_x | ||
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g1_mulAccC(_pVk, IC1x, IC1y, calldataload(add(pubSignals, 0))) | ||
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g1_mulAccC(_pVk, IC2x, IC2y, calldataload(add(pubSignals, 32))) | ||
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g1_mulAccC(_pVk, IC3x, IC3y, calldataload(add(pubSignals, 64))) | ||
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g1_mulAccC(_pVk, IC4x, IC4y, calldataload(add(pubSignals, 96))) | ||
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g1_mulAccC(_pVk, IC5x, IC5y, calldataload(add(pubSignals, 128))) | ||
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g1_mulAccC(_pVk, IC6x, IC6y, calldataload(add(pubSignals, 160))) | ||
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g1_mulAccC(_pVk, IC7x, IC7y, calldataload(add(pubSignals, 192))) | ||
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g1_mulAccC(_pVk, IC8x, IC8y, calldataload(add(pubSignals, 224))) | ||
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// -A | ||
mstore(_pPairing, calldataload(pA)) | ||
mstore(add(_pPairing, 32), mod(sub(q, calldataload(add(pA, 32))), q)) | ||
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// 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))) | ||
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// alpha1 | ||
mstore(add(_pPairing, 192), alphax) | ||
mstore(add(_pPairing, 224), alphay) | ||
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// beta2 | ||
mstore(add(_pPairing, 256), betax1) | ||
mstore(add(_pPairing, 288), betax2) | ||
mstore(add(_pPairing, 320), betay1) | ||
mstore(add(_pPairing, 352), betay2) | ||
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// vk_x | ||
mstore(add(_pPairing, 384), mload(add(pMem, pVk))) | ||
mstore(add(_pPairing, 416), mload(add(pMem, add(pVk, 32)))) | ||
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// gamma2 | ||
mstore(add(_pPairing, 448), gammax1) | ||
mstore(add(_pPairing, 480), gammax2) | ||
mstore(add(_pPairing, 512), gammay1) | ||
mstore(add(_pPairing, 544), gammay2) | ||
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// C | ||
mstore(add(_pPairing, 576), calldataload(pC)) | ||
mstore(add(_pPairing, 608), calldataload(add(pC, 32))) | ||
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// delta2 | ||
mstore(add(_pPairing, 640), deltax1) | ||
mstore(add(_pPairing, 672), deltax2) | ||
mstore(add(_pPairing, 704), deltay1) | ||
mstore(add(_pPairing, 736), deltay2) | ||
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let success := staticcall(sub(gas(), 2000), 8, _pPairing, 768, _pPairing, 0x20) | ||
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isOk := and(success, mload(_pPairing)) | ||
} | ||
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let pMem := mload(0x40) | ||
mstore(0x40, add(pMem, pLastMem)) | ||
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// Validate that all evaluations ∈ F | ||
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checkField(calldataload(add(_pubSignals, 0))) | ||
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checkField(calldataload(add(_pubSignals, 32))) | ||
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checkField(calldataload(add(_pubSignals, 64))) | ||
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checkField(calldataload(add(_pubSignals, 96))) | ||
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checkField(calldataload(add(_pubSignals, 128))) | ||
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checkField(calldataload(add(_pubSignals, 160))) | ||
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checkField(calldataload(add(_pubSignals, 192))) | ||
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checkField(calldataload(add(_pubSignals, 224))) | ||
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checkField(calldataload(add(_pubSignals, 256))) | ||
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// Validate all evaluations | ||
let isValid := checkPairing(_pA, _pB, _pC, _pubSignals, pMem) | ||
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mstore(0, isValid) | ||
return(0, 0x20) | ||
} | ||
} | ||
} |
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// Copyright © 2024 Kaleido, Inc. | ||
// | ||
// SPDX-License-Identifier: Apache-2.0 | ||
// | ||
// Licensed under the Apache License, Version 2.0 (the "License"); | ||
// you may not use this file except in compliance with the License. | ||
// You may obtain a copy of the License at | ||
// | ||
// http://www.apache.org/licenses/LICENSE-2.0 | ||
// | ||
// Unless required by applicable law or agreed to in writing, software | ||
// distributed under the License is distributed on an "AS IS" BASIS, | ||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
// See the License for the specific language governing permissions and | ||
// limitations under the License. | ||
pragma circom 2.1.4; | ||
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include "./lib/check-positive.circom"; | ||
include "./lib/check-hashes.circom"; | ||
include "./lib/check-sum.circom"; | ||
include "./lib/check-nullifiers.circom"; | ||
include "./lib/check-smt-proof.circom"; | ||
include "./node_modules/circomlib/circuits/babyjub.circom"; | ||
include "./node_modules/circomlib/circuits/poseidon.circom"; | ||
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// This version of the circuit performs the following operations: | ||
// - derive the sender's public key from the sender's private key | ||
// - check the input and output commitments match the expected hashes | ||
// - check the input and output values sum to the same amount | ||
// - check the nullifiers are derived from the input commitments and the sender's private key | ||
// - check the nullifiers are included in the Merkle tree | ||
// - check the owner public keys for inputs and outputs are included in the identities merkle tree | ||
template Zeto(nInputs, nOutputs, nUTXOSMTLevels, nIdentitiesSMTLevels) { | ||
signal input nullifiers[nInputs]; | ||
signal input inputCommitments[nInputs]; | ||
signal input inputValues[nInputs]; | ||
signal input inputSalts[nInputs]; | ||
// must be properly hashed and trimmed to be compatible with the BabyJub curve. | ||
// Reference: https://github.com/iden3/circomlib/blob/master/test/babyjub.js#L103 | ||
signal input inputOwnerPrivateKey; | ||
signal input utxoRoot; | ||
signal input utxoMerkleProof[nInputs][nUTXOSMTLevels]; | ||
// allows merkle proof verifications for empty input elements to be skipped | ||
signal input enabled[nInputs]; | ||
signal input identitiesRoot; | ||
signal input identitiesMerkleProof[nOutputs + 1][nIdentitiesSMTLevels]; | ||
signal input outputCommitments[nOutputs]; | ||
signal input outputValues[nOutputs]; | ||
signal input outputOwnerPublicKeys[nOutputs][2]; | ||
signal input outputSalts[nOutputs]; | ||
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// derive the sender's public key from the secret input | ||
// for the sender's private key. This step demonstrates | ||
// the sender really owns the private key for the input | ||
// UTXOs | ||
var inputOwnerPublicKey[2]; | ||
component pub = BabyPbk(); | ||
pub.in <== inputOwnerPrivateKey; | ||
inputOwnerPublicKey[0] = pub.Ax; | ||
inputOwnerPublicKey[1] = pub.Ay; | ||
var inputOwnerPublicKeys[nInputs][2]; | ||
for (var i = 0; i < nInputs; i++) { | ||
inputOwnerPublicKeys[i][0] = inputOwnerPublicKey[0]; | ||
inputOwnerPublicKeys[i][1] = inputOwnerPublicKey[1]; | ||
} | ||
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component checkPositives = CheckPositive(nOutputs); | ||
checkPositives.outputValues <== outputValues; | ||
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component checkInputHashes = CheckHashes(nInputs); | ||
checkInputHashes.commitments <== inputCommitments; | ||
checkInputHashes.values <== inputValues; | ||
checkInputHashes.salts <== inputSalts; | ||
checkInputHashes.ownerPublicKeys <== inputOwnerPublicKeys; | ||
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component checkOutputHashes = CheckHashes(nOutputs); | ||
checkOutputHashes.commitments <== outputCommitments; | ||
checkOutputHashes.values <== outputValues; | ||
checkOutputHashes.salts <== outputSalts; | ||
checkOutputHashes.ownerPublicKeys <== outputOwnerPublicKeys; | ||
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component checkNullifiers = CheckNullifiers(nInputs); | ||
checkNullifiers.nullifiers <== nullifiers; | ||
checkNullifiers.values <== inputValues; | ||
checkNullifiers.salts <== inputSalts; | ||
checkNullifiers.ownerPrivateKey <== inputOwnerPrivateKey; | ||
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component checkSum = CheckSum(nInputs, nOutputs); | ||
checkSum.inputValues <== inputValues; | ||
checkSum.outputValues <== outputValues; | ||
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// With the above steps, we demonstrated that the nullifiers | ||
// are securely bound to the input commitments. Now we need to | ||
// demonstrate that the input commitments belong to the Sparse | ||
// Merkle Tree with the root `root`. | ||
component checkUTXOSMTProof = CheckSMTProof(nInputs, nUTXOSMTLevels); | ||
checkUTXOSMTProof.root <== utxoRoot; | ||
checkUTXOSMTProof.merkleProof <== utxoMerkleProof; | ||
checkUTXOSMTProof.enabled <== enabled; | ||
checkUTXOSMTProof.leafNodeIndexes <== inputCommitments; | ||
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// Finally, we need to demonstrate that the owner public keys | ||
// for the inputs and outputs are included in the identities | ||
// Sparse Merkle Tree with the root `identitiesRoot`. | ||
var ownerPublicKeyHashes[nOutputs + 1]; | ||
component hash1 = Poseidon(2); | ||
hash1.inputs[0] <== inputOwnerPublicKey[0]; | ||
hash1.inputs[1] <== inputOwnerPublicKey[1]; | ||
ownerPublicKeyHashes[0] = hash1.out; | ||
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component hashes[nOutputs]; | ||
var identitiesMTPCheckEnabled[nOutputs + 1]; | ||
for (var i = 0; i < nOutputs; i++) { | ||
hashes[i] = Poseidon(2); | ||
hashes[i].inputs[0] <== outputOwnerPublicKeys[i][0]; | ||
hashes[i].inputs[1] <== outputOwnerPublicKeys[i][1]; | ||
ownerPublicKeyHashes[i+1] = hashes[i].out; | ||
identitiesMTPCheckEnabled[i] = 1; | ||
} | ||
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component checkIdentitiesSMTProof = CheckSMTProof(nOutputs + 1, nIdentitiesSMTLevels); | ||
checkIdentitiesSMTProof.root <== identitiesRoot; | ||
checkIdentitiesSMTProof.merkleProof <== identitiesMerkleProof; | ||
checkIdentitiesSMTProof.enabled <== identitiesMTPCheckEnabled; | ||
checkIdentitiesSMTProof.leafNodeIndexes <== ownerPublicKeyHashes; | ||
} | ||
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component main { public [ nullifiers, outputCommitments, utxoRoot, identitiesRoot, enabled ] } = Zeto(2, 2, 64, 10); |
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