codex-contracts-eth/contracts/Groth16Verifier.sol

// Copyright 2017 Christian Reitwiessner
// Copyright 2019 OKIMS
// Copyright 2024 Codex
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
// SPDX-License-Identifier: MIT
pragma solidity 0.8.23;
import "./Groth16.sol";

library Pairing {
  // The prime q in the base field F_q for G1
  uint private constant _Q =
    21888242871839275222246405745257275088696311157297823662689037894645226208583;

  /// The negation of p, i.e. p.addition(p.negate()) should be zero.
  function negate(G1Point memory p) internal pure returns (G1Point memory) {
    if (p.x == 0 && p.y == 0) return G1Point(0, 0);
    return G1Point(p.x, _Q - (p.y % _Q));
  }

  /// The sum of two points of G1
  function add(
    G1Point memory p1,
    G1Point memory p2
  ) internal view returns (bool success, G1Point memory sum) {
    uint[4] memory input;
    input[0] = p1.x;
    input[1] = p1.y;
    input[2] = p2.x;
    input[3] = p2.y;
    // solhint-disable-next-line no-inline-assembly
    assembly {
      success := staticcall(sub(gas(), 2000), 6, input, 128, sum, 64)
    }
  }

  /// The product of a point on G1 and a scalar, i.e.
  /// p == p.scalarMul(1) and p.addition(p) == p.scalarMul(2) for all points p.
  function multiply(
    G1Point memory p,
    uint s
  ) internal view returns (bool success, G1Point memory product) {
    uint[3] memory input;
    input[0] = p.x;
    input[1] = p.y;
    input[2] = s;
    // solhint-disable-next-line no-inline-assembly
    assembly {
      success := staticcall(sub(gas(), 2000), 7, input, 96, product, 64)
    }
  }

  /// The result of computing the pairing check
  /// e(p1[0], p2[0]) *  .... * e(p1[n], p2[n]) == 1
  /// For example pairing([P1(), P1().negate()], [P2(), P2()]) should
  /// return true.
  function pairing(
    G1Point[] memory p1,
    G2Point[] memory p2
  ) internal view returns (bool success, uint outcome) {
    require(p1.length == p2.length, "pairing-lengths-failed");
    uint elements = p1.length;
    uint inputSize = elements * 6;
    uint[] memory input = new uint[](inputSize);
    for (uint i = 0; i < elements; i++) {
      input[i * 6 + 0] = p1[i].x;
      input[i * 6 + 1] = p1[i].y;
      input[i * 6 + 2] = p2[i].x.imag;
      input[i * 6 + 3] = p2[i].x.real;
      input[i * 6 + 4] = p2[i].y.imag;
      input[i * 6 + 5] = p2[i].y.real;
    }
    uint[1] memory output;
    // solhint-disable-next-line no-inline-assembly
    assembly {
      success := staticcall(
        sub(gas(), 2000),
        8,
        add(input, 32),
        mul(inputSize, 32),
        output,
        32
      )
    }
    return (success, output[0]);
  }

  /// Convenience method for a pairing check for four pairs.
  function pairingProd4(
    G1Point memory a1,
    G2Point memory a2,
    G1Point memory b1,
    G2Point memory b2,
    G1Point memory c1,
    G2Point memory c2,
    G1Point memory d1,
    G2Point memory d2
  ) internal view returns (bool success, uint outcome) {
    G1Point[] memory p1 = new G1Point[](4);
    G2Point[] memory p2 = new G2Point[](4);
    p1[0] = a1;
    p1[1] = b1;
    p1[2] = c1;
    p1[3] = d1;
    p2[0] = a2;
    p2[1] = b2;
    p2[2] = c2;
    p2[3] = d2;
    return pairing(p1, p2);
  }
}

contract Groth16Verifier {
  using Pairing for *;
  uint256 private constant _SNARK_SCALAR_FIELD =
    21888242871839275222246405745257275088548364400416034343698204186575808495617;
  VerifyingKey private _verifyingKey;
  struct VerifyingKey {
    G1Point alpha1;
    G2Point beta2;
    G2Point gamma2;
    G2Point delta2;
    G1Point[] ic;
  }

  constructor(VerifyingKey memory key) {
    _verifyingKey.alpha1 = key.alpha1;
    _verifyingKey.beta2 = key.beta2;
    _verifyingKey.gamma2 = key.gamma2;
    _verifyingKey.delta2 = key.delta2;
    for (uint i = 0; i < key.ic.length; i++) {
      _verifyingKey.ic.push(key.ic[i]);
    }
  }

  function verify(
    Groth16Proof calldata proof,
    uint[] memory input
  ) public view returns (bool success) {
    require(input.length + 1 == _verifyingKey.ic.length, "verifier-bad-input");
    // Compute the linear combination vkX
    G1Point memory vkX = G1Point(0, 0);
    for (uint i = 0; i < input.length; i++) {
      require(
        input[i] < _SNARK_SCALAR_FIELD,
        "verifier-gte-snark-scalar-field"
      );
      G1Point memory product;
      (success, product) = Pairing.multiply(_verifyingKey.ic[i + 1], input[i]);
      if (!success) {
        return false;
      }
      (success, vkX) = Pairing.add(vkX, product);
      if (!success) {
        return false;
      }
    }
    (success, vkX) = Pairing.add(vkX, _verifyingKey.ic[0]);
    if (!success) {
      return false;
    }
    uint outcome;
    (success, outcome) =
      Pairing.pairingProd4(
        Pairing.negate(proof.a),
        proof.b,
        _verifyingKey.alpha1,
        _verifyingKey.beta2,
        vkX,
        _verifyingKey.gamma2,
        proof.c,
        _verifyingKey.delta2
      );
    if (!success) {
      return false;
    }
    return outcome == 1;
  }
}