/*
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Copyright 2021 0KIMS association.
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* `solidity-verifiers` added comment
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This file is a template built out of [snarkJS](https://github.com/iden3/snarkjs) groth16 verifier.
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See the original ejs template [here](https://github.com/iden3/snarkjs/blob/master/templates/verifier_groth16.sol.ejs)
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*
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snarkJS is a free software: you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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snarkJS is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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License for more details.
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You should have received a copy of the GNU General Public License
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along with snarkJS. If not, see <https://www.gnu.org/licenses/>.
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*/
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contract Groth16Verifier {
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// Scalar field size
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uint256 constant r = 21888242871839275222246405745257275088548364400416034343698204186575808495617;
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// Base field size
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uint256 constant q = 21888242871839275222246405745257275088696311157297823662689037894645226208583;
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// Verification Key data
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uint256 constant alphax = {{ vkey_alpha_g1.0[0] }};
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uint256 constant alphay = {{ vkey_alpha_g1.0[1] }};
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uint256 constant betax1 = {{ vkey_beta_g2.0[0][1] }};
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uint256 constant betax2 = {{ vkey_beta_g2.0[0][0] }};
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uint256 constant betay1 = {{ vkey_beta_g2.0[1][1] }};
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uint256 constant betay2 = {{ vkey_beta_g2.0[1][0] }};
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uint256 constant gammax1 = {{ vkey_gamma_g2.0[0][1] }};
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uint256 constant gammax2 = {{ vkey_gamma_g2.0[0][0] }};
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uint256 constant gammay1 = {{ vkey_gamma_g2.0[1][1] }};
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uint256 constant gammay2 = {{ vkey_gamma_g2.0[1][0] }};
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uint256 constant deltax1 = {{ vkey_delta_g2.0[0][1] }};
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uint256 constant deltax2 = {{ vkey_delta_g2.0[0][0] }};
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uint256 constant deltay1 = {{ vkey_delta_g2.0[1][1] }};
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uint256 constant deltay2 = {{ vkey_delta_g2.0[1][0] }};
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{% for (i, point) in gamma_abc_g1.iter().enumerate() %}
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uint256 constant IC{{i}}x = {{ point.0[0] }};
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uint256 constant IC{{i}}y = {{ point.0[1] }};
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{% endfor %}
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// Memory data
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uint16 constant pVk = 0;
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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[{{ gamma_abc_len - 1 }}] calldata _pubSignals) public view returns (bool) {
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assembly {
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function checkField(v) {
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if iszero(lt(v, r)) {
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mstore(0, 0)
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return(0, 0x20)
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}
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}
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// G1 function to multiply a G1 value(x,y) to value in an address
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function g1_mulAccC(pR, x, y, s) {
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let success
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let mIn := mload(0x40)
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mstore(mIn, x)
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mstore(add(mIn, 32), y)
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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) {
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mstore(0, 0)
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return(0, 0x20)
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}
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mstore(add(mIn, 64), mload(pR))
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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) {
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mstore(0, 0)
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return(0, 0x20)
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}
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}
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function checkPairing(pA, pB, pC, pubSignals, pMem) -> isOk {
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let _pPairing := add(pMem, pPairing)
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let _pVk := add(pMem, pVk)
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mstore(_pVk, IC0x)
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mstore(add(_pVk, 32), IC0y)
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// Compute the linear combination vk_x
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{% for (i, _) in gamma_abc_g1.iter().enumerate() %}
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{% if loop.first -%}
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{%- else -%}
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g1_mulAccC(_pVk, IC{{i}}x, IC{{i}}y, calldataload(add(pubSignals, {{(i-1)*32}})))
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{%- endif -%}
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{% endfor %}
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// -A
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mstore(_pPairing, calldataload(pA))
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mstore(add(_pPairing, 32), mod(sub(q, calldataload(add(pA, 32))), q))
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// B
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mstore(add(_pPairing, 64), calldataload(pB))
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mstore(add(_pPairing, 96), calldataload(add(pB, 32)))
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mstore(add(_pPairing, 128), calldataload(add(pB, 64)))
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mstore(add(_pPairing, 160), calldataload(add(pB, 96)))
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// alpha1
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mstore(add(_pPairing, 192), alphax)
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mstore(add(_pPairing, 224), alphay)
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// beta2
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mstore(add(_pPairing, 256), betax1)
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mstore(add(_pPairing, 288), betax2)
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mstore(add(_pPairing, 320), betay1)
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mstore(add(_pPairing, 352), betay2)
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// vk_x
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mstore(add(_pPairing, 384), mload(add(pMem, pVk)))
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mstore(add(_pPairing, 416), mload(add(pMem, add(pVk, 32))))
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// gamma2
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mstore(add(_pPairing, 448), gammax1)
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mstore(add(_pPairing, 480), gammax2)
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mstore(add(_pPairing, 512), gammay1)
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mstore(add(_pPairing, 544), gammay2)
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// C
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mstore(add(_pPairing, 576), calldataload(pC))
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mstore(add(_pPairing, 608), calldataload(add(pC, 32)))
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// delta2
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mstore(add(_pPairing, 640), deltax1)
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mstore(add(_pPairing, 672), deltax2)
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mstore(add(_pPairing, 704), deltay1)
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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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}
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let pMem := mload(0x40)
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mstore(0x40, add(pMem, pLastMem))
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// Validate that all evaluations ∈ F
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{% for (i, _) in gamma_abc_g1.iter().enumerate() %}
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checkField(calldataload(add(_pubSignals, {{i*32}})))
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{% endfor %}
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// Validate all evaluations
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let isValid := checkPairing(_pA, _pB, _pC, _pubSignals, pMem)
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mstore(0, isValid)
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return(0, 0x20)
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}
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}
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}
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