From 5ea30c7aedec1735876eef8495a94d6974f74440 Mon Sep 17 00:00:00 2001 From: Tristan Britt <53545754+trbritt@users.noreply.github.com> Date: Tue, 22 Oct 2024 11:15:13 -0700 Subject: [PATCH 1/5] initial remediation of audit --- src/BLS.sol | 272 ++++++++-------- src/ModExp.sol | 693 ++++------------------------------------- test/solbls.unit.t.sol | 34 +- 3 files changed, 209 insertions(+), 790 deletions(-) diff --git a/src/BLS.sol b/src/BLS.sol index 79f2827..29fb8a1 100644 --- a/src/BLS.sol +++ b/src/BLS.sol @@ -1,7 +1,6 @@ // SPDX-License-Identifier: MIT pragma solidity >=0.8.23; -// TODO(Gas golf these vs inline precompiles) import {ModexpInverse, ModexpSqrt} from "./ModExp.sol"; /// @title Boneh–Lynn–Shacham (BLS) signature scheme on Barreto-Naehrig 254 bit curve (BN-254) @@ -10,20 +9,28 @@ import {ModexpInverse, ModexpSqrt} from "./ModExp.sol"; /// @dev Adapted from https://github.com/thehubbleproject/hubble-contracts /// @dev Leveraging additional documentation from https://github.com/kevincharm/bls-bn254/blob/master/contracts/BLS.sol /// @dev A long form article: https://hackmd.io/@liangcc/bls-solidity +/// @dev This contract has been audited by Zellic, and implements all remediations of that report. library BLS { // Field order of BN254 curve - uint256 private constant N = 21888242871839275222246405745257275088696311157297823662689037894645226208583; + uint256 private constant N = + 21888242871839275222246405745257275088696311157297823662689037894645226208583; // Negated generator of G2 (required for pairing checks) - uint256 private constant N_G2_X1 = 11559732032986387107991004021392285783925812861821192530917403151452391805634; - uint256 private constant N_G2_X0 = 10857046999023057135944570762232829481370756359578518086990519993285655852781; - uint256 private constant N_G2_Y1 = 17805874995975841540914202342111839520379459829704422454583296818431106115052; - uint256 private constant N_G2_Y0 = 13392588948715843804641432497768002650278120570034223513918757245338268106653; + uint256 private constant N_G2_X1 = + 11559732032986387107991004021392285783925812861821192530917403151452391805634; + uint256 private constant N_G2_X0 = + 10857046999023057135944570762232829481370756359578518086990519993285655852781; + uint256 private constant N_G2_Y1 = + 17805874995975841540914202342111839520379459829704422454583296818431106115052; + uint256 private constant N_G2_Y0 = + 13392588948715843804641432497768002650278120570034223513918757245338268106653; // Constants for hash-to-field operations // slither-disable-next-line too-many-digits - uint256 private constant T24 = 0x1000000000000000000000000000000000000000000000000; - uint256 private constant MASK24 = 0xffffffffffffffffffffffffffffffffffffffffffffffff; + uint256 private constant T24 = + 0x1000000000000000000000000000000000000000000000000; + uint256 private constant MASK24 = + 0xffffffffffffffffffffffffffffffffffffffffffffffff; // Curve parameters and constants for Simplified SWU mapping @@ -36,14 +43,18 @@ library BLS { /// @notice g(Z) where g(x) = x^3 + 3 uint256 private constant C1 = 0x4; /// @notice -Z / 2 (mod N) - uint256 private constant C2 = 0x183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3; + uint256 private constant C2 = + 0x183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3; /// @notice C3 = sqrt(-g(Z) * (3 * Z^2 + 4 * A)) (mod N) /// and sgn0(C3) == 0 - uint256 private constant C3 = 0x16789af3a83522eb353c98fc6b36d713d5d8d1cc5dffffffa; + uint256 private constant C3 = + 0x16789af3a83522eb353c98fc6b36d713d5d8d1cc5dffffffa; /// @notice 4 * -g(Z) / (3 * Z^2 + 4 * A) (mod N) - uint256 private constant C4 = 0x10216f7ba065e00de81ac1e7808072c9dd2b2385cd7b438469602eb24829a9bd; + uint256 private constant C4 = + 0x10216f7ba065e00de81ac1e7808072c9dd2b2385cd7b438469602eb24829a9bd; /// @notice (N - 1) / 2 - uint256 private constant C5 = 0x183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3; + uint256 private constant C5 = + 0x183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3; // Error messages @@ -57,13 +68,12 @@ library BLS { /// @param signature The signature to verify (G1 point) /// @param pubkey The public key (G2 point) /// @param message The message that was signed (G1 point) - /// @return pairingSuccess True if the pairing check succeeds - /// @return callSuccess True if the precompile call to verify the signature succeeds - function verifySingle(uint256[2] memory signature, uint256[4] memory pubkey, uint256[2] memory message) - internal - view - returns (bool pairingSuccess, bool callSuccess) - { + /// @return success True if the pairing check succeeds and if the precompile call to verify the signature succeeds + function verifySingle( + uint256[2] memory signature, + uint256[4] memory pubkey, + uint256[2] memory message + ) internal view returns (bool) { // Prepare input for the pairing check uint256[12] memory input = [ signature[0], @@ -80,19 +90,30 @@ library BLS { pubkey[2] ]; // Use the SNARKV precompile to verify the pairing + bool callSuccess; uint256[1] memory out; // slither-disable-next-line assembly assembly { - callSuccess := staticcall(sub(gas(), 2000), 8, input, 384, out, 0x20) + callSuccess := staticcall( + sub(gas(), 2000), + 8, + input, + 384, + out, + 0x20 + ) } - return (out[0] != 0, callSuccess); + return (callSuccess && (out[0] != 0)); } /// @notice Hash a message to a point on the BN254 G1 curve /// @param domain Domain separation tag /// @param message Message to hash /// @return A point in G1 - function hashToPoint(bytes memory domain, bytes memory message) internal view returns (uint256[2] memory) { + function hashToPoint( + bytes memory domain, + bytes memory message + ) internal view returns (uint256[2] memory) { // Hash the message to two field elements uint256[2] memory u = hashToField(domain, message); @@ -118,7 +139,9 @@ library BLS { //// @notice Check if a given signature is valid (i.e., on the curve) /// @param signature The signature to check /// @return True if the signature is valid - function isValidSignature(uint256[2] memory signature) internal pure returns (bool) { + function isValidSignature( + uint256[2] memory signature + ) internal pure returns (bool) { if ((signature[0] >= N) || (signature[1] >= N)) { return false; } else { @@ -126,21 +149,32 @@ library BLS { } } - /// @notice Check if a given public key is valid (i.e., on the curve) + /// @notice Check if a given public key is valid (i.e., on the curve AND in + /// the correct r-torsion). The subgroup membership check critically involves + /// identifying if $[r]Q = O$ for a point $Q$ on the curve defined over the + /// quadratic extension, and $O$ the point at infinity. /// @param publicKey The public key to check /// @return True if the public key is valid - function isValidPublicKey(uint256[4] memory publicKey) internal pure returns (bool) { - if ((publicKey[0] >= N) || (publicKey[1] >= N) || (publicKey[2] >= N || (publicKey[3] >= N))) { + function isValidPublicKey( + uint256[4] memory publicKey + ) internal view returns (bool) { + if ( + (publicKey[0] >= N) || + (publicKey[1] >= N) || + (publicKey[2] >= N || (publicKey[3] >= N)) + ) { return false; } else { - return isOnCurveG2(publicKey); + return isElementOfG2(publicKey); } } /// @notice Check if a point is on the G1 curve /// @param point The point to check /// @return isOnCurve True if the point is on the curve - function isOnCurveG1(uint256[2] memory point) internal pure returns (bool isOnCurve) { + function isOnCurveG1( + uint256[2] memory point + ) internal pure returns (bool isOnCurve) { // slither-disable-next-line assembly assembly { // Load point coordinates @@ -155,57 +189,57 @@ library BLS { } } - /// @notice Check if a point is on the G2 curve + /// @notice Check if a point is in G2, namely the r-torsion of the elliptic curve over the quadratic extension. Note + /// that this necessitates curve membership, which is also checked by the precompile. The verification of a public key + /// should not be done often given the current expected lifetime of Warlock public keys, which should mitigate + /// the gas of the precompile static call. /// @param point The point to check - /// @return isOnCurve True if the point is on the curve - function isOnCurveG2(uint256[4] memory point) internal pure returns (bool isOnCurve) { + /// @return bool True if the point is in the r-torsion G2 + function isElementOfG2( + uint256[4] memory point + ) internal view returns (bool) { + uint256[6] memory input = [ + 0, + 0, + point[1], + point[0], + point[3], + point[2] + ]; + bool callSuccess; + uint256[1] memory out; // slither-disable-next-line assembly assembly { - // x0, x1 - let t0 := mload(point) - let t1 := mload(add(point, 32)) - // x0 ^ 2 - let t2 := mulmod(t0, t0, N) - // x1 ^ 2 - let t3 := mulmod(t1, t1, N) - // 3 * x0 ^ 2 - let t4 := add(add(t2, t2), t2) - // 3 * x1 ^ 2 - let t5 := addmod(add(t3, t3), t3, N) - // x0 * (x0 ^ 2 - 3 * x1 ^ 2) - t2 := mulmod(add(t2, sub(N, t5)), t0, N) - // x1 * (3 * x0 ^ 2 - x1 ^ 2) - t3 := mulmod(add(t4, sub(N, t3)), t1, N) - - // x ^ 3 + b - t0 := addmod(t2, 0x2b149d40ceb8aaae81be18991be06ac3b5b4c5e559dbefa33267e6dc24a138e5, N) - t1 := addmod(t3, 0x009713b03af0fed4cd2cafadeed8fdf4a74fa084e52d1852e4a2bd0685c315d2, N) - - // y0, y1 - t2 := mload(add(point, 64)) - t3 := mload(add(point, 96)) - // y ^ 2 - t4 := mulmod(addmod(t2, t3, N), addmod(t2, sub(N, t3), N), N) - t3 := mulmod(shl(1, t2), t3, N) - - // y ^ 2 == x ^ 3 + b - isOnCurve := and(eq(t0, t4), eq(t1, t3)) + callSuccess := staticcall( + sub(gas(), 2000), + 8, + input, + 192, + out, + 0x20 + ) } + return (callSuccess && (out[0] == 1)); } - /// @notice Compute the square root of a field element + /// @notice Compute the square root of a field element. Note that + /// because we accept inputs larger than the modulus, simply doing + /// the check `mulmod(x, x, N) == xx` is ambiguous, as this will always be false + /// for $xx >= N$. We therefore check for comparison against $xx % N$, as this + /// creates a boolean purely indicative of the presence of a valid moduluar square + /// root mod N. /// @param xx The element to compute the square root of /// @return x The square root /// @return hasRoot True if the square root exists - function sqrt(uint256 xx) internal pure returns (uint256 x, bool hasRoot) { + function sqrt(uint256 xx) internal view returns (uint256 x, bool hasRoot) { x = ModexpSqrt.run(xx); - hasRoot = mulmod(x, x, N) == xx; + hasRoot = mulmod(x, x, N) == (xx % N); } /// @notice Compute the modular multiplicative inverse of a field element /// @param a The element to invert /// @return The inverse of a - function inverse(uint256 a) internal pure returns (uint256) { + function inverse(uint256 a) internal view returns (uint256) { return ModexpInverse.run(a); } @@ -213,7 +247,10 @@ library BLS { /// @param domain Domain separation tag /// @param message Message to hash /// @return Two field elements - function hashToField(bytes memory domain, bytes memory message) internal pure returns (uint256[2] memory) { + function hashToField( + bytes memory domain, + bytes memory message + ) internal pure returns (uint256[2] memory) { bytes memory _msg = expandMsgTo96(domain, message); uint256 u0; uint256 u1; @@ -241,22 +278,43 @@ library BLS { /// in rfc9380 section 5.3.1, using H = keccak256. /// @param dst Domain separation tag /// @param message Message to expand - function expandMsgTo96(bytes memory dst, bytes memory message) internal pure returns (bytes memory) { + function expandMsgTo96( + bytes memory dst, + bytes memory message + ) internal pure returns (bytes memory) { uint256 domainLen = dst.length; if (domainLen > 255) { revert InvalidDSTLength(dst); } bytes memory zpad = new bytes(136); - bytes memory b_0 = abi.encodePacked(zpad, message, uint8(0), uint8(96), uint8(0), dst, uint8(domainLen)); + bytes memory b_0 = abi.encodePacked( + zpad, + message, + uint8(0), + uint8(96), + uint8(0), + dst, + uint8(domainLen) + ); bytes32 b0 = keccak256(b_0); - bytes memory b_i = abi.encodePacked(b0, uint8(1), dst, uint8(domainLen)); + bytes memory b_i = abi.encodePacked( + b0, + uint8(1), + dst, + uint8(domainLen) + ); bytes32 bi = keccak256(b_i); bytes memory out = new bytes(96); uint256 ell = 3; for (uint256 i = 1; i < ell; i++) { - b_i = abi.encodePacked(b0 ^ bi, uint8(1 + i), dst, uint8(domainLen)); + b_i = abi.encodePacked( + b0 ^ bi, + uint8(1 + i), + dst, + uint8(domainLen) + ); // slither-disable-next-line assembly assembly { let p := add(32, out) @@ -292,22 +350,16 @@ library BLS { uint256 x3 = addmod(Z, mulmod(C4, mulmod(tv8, tv8, N), N), N); bool hasRoot; - uint256 gx; - if (legendre(g(x1)) == 1) { - p[0] = x1; - gx = g(x1); - (p[1], hasRoot) = sqrt(gx); - if (!hasRoot) revert MapToPointFailed(gx); - } else if (legendre(g(x2)) == 1) { + p[0] = x1; + (p[1], hasRoot) = sqrt(g(p[0])); + if (!hasRoot) { p[0] = x2; - gx = g(x2); - (p[1], hasRoot) = sqrt(gx); - if (!hasRoot) revert MapToPointFailed(gx); - } else { - p[0] = x3; - gx = g(x3); - (p[1], hasRoot) = sqrt(gx); - if (!hasRoot) revert MapToPointFailed(gx); + (p[1], hasRoot) = sqrt(g(p[0])); + if (!hasRoot) { + p[0] = x3; + (p[1], hasRoot) = sqrt(g(p[0])); + if (!hasRoot) revert MapToPointFailed(p[1]); + } } if (sgn0(u) != sgn0(p[1])) { p[1] = N - p[1]; @@ -326,56 +378,4 @@ library BLS { function sgn0(uint256 x) private pure returns (uint256) { return x % 2; } - - /// @notice Compute the Legendre symbol of a field element - /// @param u The field element - /// @return 1 if u is a quadratic residue, -1 if not, or 0 if u = 0 (mod p) - function legendre(uint256 u) private view returns (int8) { - uint256 x = expModLegendre(u); - if (x == N - 1) { - return -1; - } - if (x != 0 && x != 1) { - revert MapToPointFailed(u); - } - return int8(int256(x)); - } - - /// @notice Compute (u^((N-1)/2) mod N) using the EXPMOD precompile - /// @dev This is cheaper than an addchain for exponent (N-1)/2 - /// @param u The base - /// @return output The result of the modular exponentiation - function expModLegendre(uint256 u) private view returns (uint256 output) { - bytes memory input = new bytes(192); - bool success; - // slither-disable-next-line assembly - assembly { - let p := add(input, 32) - mstore(p, 32) // len(u) - p := add(p, 32) - mstore(p, 32) // len(exp) - p := add(p, 32) - mstore(p, 32) // len(mod) - p := add(p, 32) - mstore(p, u) // u - p := add(p, 32) - mstore(p, C5) // (N-1)/2 - p := add(p, 32) - mstore(p, N) // N - - success := - staticcall( - gas(), - 5, - add(input, 32), - 192, - 0x00, // scratch space <- result - 32 - ) - output := mload(0x00) // output <- result - } - if (!success) { - revert ModExpFailed(u, C5, N); - } - } } diff --git a/src/ModExp.sol b/src/ModExp.sol index b5251b7..daa9d8a 100644 --- a/src/ModExp.sol +++ b/src/ModExp.sol @@ -1,654 +1,97 @@ // SPDX-License-Identifier: MIT -pragma solidity >=0.8.23; +pragma solidity ^0.8; /** * @dev This file contains two libraries: ModexpInverse and ModexpSqrt - * Both use optimized addition chain methods for efficient computation + * Both use the `modexp` precompile at 0x05 for efficient computation * of modular exponentiation operations on the BN254 curve's base field. + * It should be noted that these two libraries accept inputs that are + * larger than the modulus, and reduces accordingly. */ /** * @title Compute Inverse by Modular Exponentiation - * @notice Compute $input^(N - 2) mod N$ using Addition Chain method. + * @notice Compute base^(N - 2) mod N$. * Where N = 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47 - * and N - 2 = 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd45 - * @dev the function body is generated with the modified addchain script - * see https://github.com/kobigurk/addchain/commit/2c37a2ace567a9bdc680b4e929c94aaaa3ec700f + * and N - 2 = 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd45. + * It should be noted here that the inverse function itself works by the fact that, + * by Fermat's little theorem, $x^{-1} mod N = x^{N-2} mod N$, and by this merit, + * consistent with the specification of `inv0` from RFC 9380, an input of 0 will + * return 0 from this calculation, despite the modular inverse of 0 not existing, + * consistent with the specification of EIP-198 that defines this precompile. */ library ModexpInverse { - function run(uint256 t2) internal pure returns (uint256 t0) { + function run(uint256 base) internal view returns (uint256 result) { + bool success; // slither-disable-next-line assembly assembly { - let n := 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47 - t0 := mulmod(t2, t2, n) - let t5 := mulmod(t0, t2, n) - let t1 := mulmod(t5, t0, n) - let t3 := mulmod(t5, t5, n) - let t8 := mulmod(t1, t0, n) - let t4 := mulmod(t3, t5, n) - let t6 := mulmod(t3, t1, n) - t0 := mulmod(t3, t3, n) - let t7 := mulmod(t8, t3, n) - t3 := mulmod(t4, t3, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t7, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t7, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t7, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t3, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t3, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t3, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) + let memPtr := mload(0x40) + mstore(memPtr, 0x20) + mstore(add(memPtr, 0x20), 0x20) + mstore(add(memPtr, 0x40), 0x20) + mstore(add(memPtr, 0x60), base) + mstore( + add(memPtr, 0x80), + 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd45 + ) + mstore( + add(memPtr, 0xa0), + 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47 + ) + success := staticcall( + sub(gas(), 2000), + 0x05, + memPtr, + 0xc0, + memPtr, + 0x20 + ) + result := mload(memPtr) } } } /** * @title Compute Square Root by Modular Exponentiation - * @notice Compute $input^{(N + 1) / 4} mod N$ using Addition Chain method. + * @notice Compute $input^{(N + 1) / 4} mod N$. * Where N = 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47 * and (N + 1) / 4 = 0xc19139cb84c680a6e14116da060561765e05aa45a1c72a34f082305b61f3f52 + * It should be noted that if the base's Legendre symbol is 1, $s^2 mod N = x$, yet if + * it is -1, $s$ is not a modular sqrt of x, though $x$ also does not have a sqrt, as $s$ + * is a sqrt of $-x$. This fact, combined with the acceptance of inputs larger that the + * modulus means that the check `mulmod(x, x, N) == xx`, where `x = ModexpSqrt.run(xx)` + * will always be false if `xx >= N`, or if there is no sqrt existing mod N. Checks + * on this point are done in the main `sqrt` function in `BLS.sol`, and therefore + * users should only interact with that function, not this library itself, so that the + * user need not be aware of this subtle point. */ library ModexpSqrt { - function run(uint256 t6) internal pure returns (uint256 t0) { + function run(uint256 base) internal view returns (uint256 result) { + bool success; // slither-disable-next-line assembly assembly { - let n := 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47 - - t0 := mulmod(t6, t6, n) - let t4 := mulmod(t0, t6, n) - let t2 := mulmod(t4, t0, n) - let t3 := mulmod(t4, t4, n) - let t8 := mulmod(t2, t0, n) - let t1 := mulmod(t3, t4, n) - let t5 := mulmod(t3, t2, n) - t0 := mulmod(t3, t3, n) - let t7 := mulmod(t8, t3, n) - t3 := mulmod(t1, t3, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t7, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t7, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t8, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t7, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t3, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t6, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t5, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t4, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t3, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t3, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t2, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t0, n) - t0 := mulmod(t0, t1, n) - t0 := mulmod(t0, t0, n) + let memPtr := mload(0x40) + mstore(memPtr, 0x20) + mstore(add(memPtr, 0x20), 0x20) + mstore(add(memPtr, 0x40), 0x20) + mstore(add(memPtr, 0x60), base) + mstore( + add(memPtr, 0x80), + 0xc19139cb84c680a6e14116da060561765e05aa45a1c72a34f082305b61f3f52 + ) + mstore( + add(memPtr, 0xa0), + 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47 + ) + success := staticcall( + sub(gas(), 2000), + 0x05, + memPtr, + 0xc0, + memPtr, + 0x20 + ) + result := mload(memPtr) } } } diff --git a/test/solbls.unit.t.sol b/test/solbls.unit.t.sol index 75450d2..87eabe2 100644 --- a/test/solbls.unit.t.sol +++ b/test/solbls.unit.t.sol @@ -142,15 +142,6 @@ contract BLSUnitTest is Test { } } - // Check that E'(Fp2) reference points that are not in the r-torsion are correctly rejected from G2 - function testFail_E2noG2() public noGasMetering { - for (uint256 i = 0; i < 1000; i++) { - uint256[] memory iq = e2_non_g2[i]; - uint256[4] memory iqOw = [iq[0], iq[1], iq[2], iq[3]]; - assert(BLS.isValidPublicKey(iqOw) == false); - } - } - // Test SvdW (Shallue-van de Woestijne) algorithm implementation function testSVDW() public noGasMetering { for (uint256 i = 0; i < 1000; i++) { @@ -173,31 +164,16 @@ contract BLSUnitTest is Test { uint256[4] memory iqTwoOw = [iqTwo[0], iqTwo[1], iqTwo[2], iqTwo[3]]; assert(BLS.isValidPublicKey(iqTwoOw)); assert(BLS.isValidSignature(iqOw)); - (bool pairingSuccess, bool callSuccess) = BLS.verifySingle(iqOw, iqTwoOw, pt); - if (callSuccess) { - assert(pairingSuccess); - } else { - assert(pairingSuccess == false); - } + assert(BLS.verifySingle(iqOw, iqTwoOw, pt)); } } // Check internal consistency of the library using E2 points not in G2 - function testLibConsistentTwo() public noGasMetering { - uint256[2] memory pt = BLS.hashToPoint(bytes(domain), bytes("Hello world!")); + function testRejectInvalidSubgroupG2() public noGasMetering { for (uint256 i = 0; i < 1000; i++) { - uint256[] memory iq = g1_signatures[i]; - uint256[] memory iqTwo = e2_non_g2[i]; - uint256[2] memory iqOw = [iq[0], iq[1]]; - uint256[4] memory iqTwoOw = [iqTwo[0], iqTwo[1], iqTwo[2], iqTwo[3]]; - assert(BLS.isValidPublicKey(iqTwoOw)); - assert(BLS.isValidSignature(iqOw)); - (bool pairingSuccess, bool callSuccess) = BLS.verifySingle(iqOw, iqTwoOw, pt); - if (callSuccess) { - assert(pairingSuccess); - } else { - assert(pairingSuccess == false); - } + uint256[] memory iq = e2_non_g2[i]; + uint256[4] memory iqOw = [iq[0], iq[1], iq[2], iq[3]]; + assertFalse(BLS.isValidPublicKey(iqOw)); } } } From 60651da0c47830555d7eec0e189ccee9b4d8601e Mon Sep 17 00:00:00 2001 From: Tristan Britt <53545754+trbritt@users.noreply.github.com> Date: Tue, 22 Oct 2024 11:16:18 -0700 Subject: [PATCH 2/5] fmt --- test/solbls.unit.t.sol | 112 +++++++++++++++++++++++++++++++++-------- 1 file changed, 92 insertions(+), 20 deletions(-) diff --git a/test/solbls.unit.t.sol b/test/solbls.unit.t.sol index 87eabe2..e73e283 100644 --- a/test/solbls.unit.t.sol +++ b/test/solbls.unit.t.sol @@ -26,11 +26,18 @@ contract BLSUnitTest is Test { // Constants for hashing and padding uint256 zero = 0; string domain = "BLS_SIG_BN254G1_XMD:KECCAK-256_SSWU_RO_NUL_"; - bytes zpad = abi.encodePacked(abi.encodePacked(zero, zero, zero, zero), uint64(0)); + bytes zpad = + abi.encodePacked(abi.encodePacked(zero, zero, zero, zero), uint64(0)); // Load test cases from JSON file string root = vm.projectRoot(); - string json = vm.readFile(string.concat(root, "/test/sage_reference/bn254_reference_transformed.json")); + string json = + vm.readFile( + string.concat( + root, + "/test/sage_reference/bn254_reference_transformed.json" + ) + ); uint256[] private_keys = vm.parseJsonUintArray(json, ".private_keys"); // setUp function to initialize test data @@ -40,10 +47,22 @@ contract BLSUnitTest is Test { string memory strNum = vm.toString(i); string memory left = string.concat("[", strNum); string memory lookup = string.concat(left, "]"); - uint256[] memory rawG1 = vm.parseJsonUintArray(json, string.concat(".G1_signatures", lookup)); - uint256[] memory rawG2 = vm.parseJsonUintArray(json, string.concat(".G2_public_keys", lookup)); - uint256[] memory rawE2 = vm.parseJsonUintArray(json, string.concat(".E2_non_G2", lookup)); - uint256[] memory rawSVDW = vm.parseJsonUintArray(json, string.concat(".svdw", lookup)); + uint256[] memory rawG1 = vm.parseJsonUintArray( + json, + string.concat(".G1_signatures", lookup) + ); + uint256[] memory rawG2 = vm.parseJsonUintArray( + json, + string.concat(".G2_public_keys", lookup) + ); + uint256[] memory rawE2 = vm.parseJsonUintArray( + json, + string.concat(".E2_non_G2", lookup) + ); + uint256[] memory rawSVDW = vm.parseJsonUintArray( + json, + string.concat(".svdw", lookup) + ); g1_signatures.push(rawG1); g2_public_keys.push(rawG2); e2_non_g2.push(rawE2); @@ -59,40 +78,84 @@ contract BLSUnitTest is Test { // Construct and hash the initial message block bytes memory b_0 = abi.encodePacked( - zpad, expMsg, uint8(outputLen >> 8), uint8(outputLen & 255), uint8(0), bytes(domain), domainLength + zpad, + expMsg, + uint8(outputLen >> 8), + uint8(outputLen & 255), + uint8(0), + bytes(domain), + domainLength ); bytes32 b_0_hashed = keccak256(b_0); // Construct and hash subsequent blocks (simplified version of the loop in BLS.ts) - bytes memory b_i = abi.encodePacked(b_0_hashed, uint8(1), bytes(domain), domainLength); + bytes memory b_i = abi.encodePacked( + b_0_hashed, + uint8(1), + bytes(domain), + domainLength + ); bytes32 b_i_hashed = keccak256(b_i); - bytes memory newb_i = abi.encodePacked(b_i_hashed ^ b_0_hashed, uint8(2), bytes(domain), domainLength); + bytes memory newb_i = abi.encodePacked( + b_i_hashed ^ b_0_hashed, + uint8(2), + bytes(domain), + domainLength + ); bytes32 newHash = keccak256(newb_i); - bytes memory newb_ii = abi.encodePacked(newHash ^ b_0_hashed, uint8(3), bytes(domain), domainLength); + bytes memory newb_ii = abi.encodePacked( + newHash ^ b_0_hashed, + uint8(3), + bytes(domain), + domainLength + ); bytes32 secondHash = keccak256(newb_ii); // Assert equivalence between our implementation and the library assert( - keccak256(BLS.expandMsgTo96(bytes(domain), expMsg)) - == keccak256(abi.encodePacked(b_i_hashed, newHash, secondHash)) + keccak256(BLS.expandMsgTo96(bytes(domain), expMsg)) == + keccak256(abi.encodePacked(b_i_hashed, newHash, secondHash)) ); } // Helper function for expand_message, used by testHash_to_field - function expand_message(bytes memory message) private view returns (bytes memory) { + function expand_message( + bytes memory message + ) private view returns (bytes memory) { uint8 outputLen = 96; uint8 domainLength = 43; bytes memory b_0 = abi.encodePacked( - zpad, message, uint8(outputLen >> 8), uint8(outputLen & 255), uint8(0), bytes(domain), domainLength + zpad, + message, + uint8(outputLen >> 8), + uint8(outputLen & 255), + uint8(0), + bytes(domain), + domainLength ); bytes32 b_0_hashed = keccak256(b_0); - bytes memory b_i = abi.encodePacked(b_0_hashed, uint8(1), bytes(domain), domainLength); + bytes memory b_i = abi.encodePacked( + b_0_hashed, + uint8(1), + bytes(domain), + domainLength + ); bytes32 b_i_hashed = keccak256(b_i); - bytes memory newb_i = abi.encodePacked(b_i_hashed ^ b_0_hashed, uint8(2), bytes(domain), domainLength); + bytes memory newb_i = abi.encodePacked( + b_i_hashed ^ b_0_hashed, + uint8(2), + bytes(domain), + domainLength + ); bytes32 newHash = keccak256(newb_i); - bytes memory newb_ii = abi.encodePacked(newHash ^ b_0_hashed, uint8(3), bytes(domain), domainLength); + bytes memory newb_ii = abi.encodePacked( + newHash ^ b_0_hashed, + uint8(3), + bytes(domain), + domainLength + ); bytes32 secondHash = keccak256(newb_ii); return abi.encodePacked(b_i_hashed, newHash, secondHash); @@ -101,7 +164,8 @@ contract BLSUnitTest is Test { // Test the hash_to_field function used in BLS signatures function testHash_to_field(bytes memory rands) public view { bytes memory expanded = expand_message(rands); - bytes memory ord = hex"30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47"; + bytes + memory ord = hex"30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47"; // Split the expanded message into two parts bytes memory left = new bytes(48); @@ -155,13 +219,21 @@ contract BLSUnitTest is Test { // Check internal consistency of the library function testLibraryConsistent() public noGasMetering { - uint256[2] memory pt = BLS.hashToPoint(bytes(domain), bytes("Hello world!")); + uint256[2] memory pt = BLS.hashToPoint( + bytes(domain), + bytes("Hello world!") + ); assert(BLS.isOnCurveG1(pt)); for (uint256 i = 0; i < 1000; i++) { uint256[] memory iq = g1_signatures[i]; uint256[] memory iqTwo = g2_public_keys[i]; uint256[2] memory iqOw = [iq[0], iq[1]]; - uint256[4] memory iqTwoOw = [iqTwo[0], iqTwo[1], iqTwo[2], iqTwo[3]]; + uint256[4] memory iqTwoOw = [ + iqTwo[0], + iqTwo[1], + iqTwo[2], + iqTwo[3] + ]; assert(BLS.isValidPublicKey(iqTwoOw)); assert(BLS.isValidSignature(iqOw)); assert(BLS.verifySingle(iqOw, iqTwoOw, pt)); From 840843c5618424e3985550daaf18043da53e3eda Mon Sep 17 00:00:00 2001 From: Tristan Britt <53545754+trbritt@users.noreply.github.com> Date: Tue, 22 Oct 2024 13:31:56 -0700 Subject: [PATCH 3/5] fmt --- src/BLS.sol | 131 ++++++++++------------------------------- src/ModExp.sol | 38 ++---------- test/solbls.unit.t.sol | 112 +++++++---------------------------- 3 files changed, 56 insertions(+), 225 deletions(-) diff --git a/src/BLS.sol b/src/BLS.sol index 29fb8a1..7a778d6 100644 --- a/src/BLS.sol +++ b/src/BLS.sol @@ -12,25 +12,18 @@ import {ModexpInverse, ModexpSqrt} from "./ModExp.sol"; /// @dev This contract has been audited by Zellic, and implements all remediations of that report. library BLS { // Field order of BN254 curve - uint256 private constant N = - 21888242871839275222246405745257275088696311157297823662689037894645226208583; + uint256 private constant N = 21888242871839275222246405745257275088696311157297823662689037894645226208583; // Negated generator of G2 (required for pairing checks) - uint256 private constant N_G2_X1 = - 11559732032986387107991004021392285783925812861821192530917403151452391805634; - uint256 private constant N_G2_X0 = - 10857046999023057135944570762232829481370756359578518086990519993285655852781; - uint256 private constant N_G2_Y1 = - 17805874995975841540914202342111839520379459829704422454583296818431106115052; - uint256 private constant N_G2_Y0 = - 13392588948715843804641432497768002650278120570034223513918757245338268106653; + uint256 private constant N_G2_X1 = 11559732032986387107991004021392285783925812861821192530917403151452391805634; + uint256 private constant N_G2_X0 = 10857046999023057135944570762232829481370756359578518086990519993285655852781; + uint256 private constant N_G2_Y1 = 17805874995975841540914202342111839520379459829704422454583296818431106115052; + uint256 private constant N_G2_Y0 = 13392588948715843804641432497768002650278120570034223513918757245338268106653; // Constants for hash-to-field operations // slither-disable-next-line too-many-digits - uint256 private constant T24 = - 0x1000000000000000000000000000000000000000000000000; - uint256 private constant MASK24 = - 0xffffffffffffffffffffffffffffffffffffffffffffffff; + uint256 private constant T24 = 0x1000000000000000000000000000000000000000000000000; + uint256 private constant MASK24 = 0xffffffffffffffffffffffffffffffffffffffffffffffff; // Curve parameters and constants for Simplified SWU mapping @@ -43,18 +36,14 @@ library BLS { /// @notice g(Z) where g(x) = x^3 + 3 uint256 private constant C1 = 0x4; /// @notice -Z / 2 (mod N) - uint256 private constant C2 = - 0x183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3; + uint256 private constant C2 = 0x183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3; /// @notice C3 = sqrt(-g(Z) * (3 * Z^2 + 4 * A)) (mod N) /// and sgn0(C3) == 0 - uint256 private constant C3 = - 0x16789af3a83522eb353c98fc6b36d713d5d8d1cc5dffffffa; + uint256 private constant C3 = 0x16789af3a83522eb353c98fc6b36d713d5d8d1cc5dffffffa; /// @notice 4 * -g(Z) / (3 * Z^2 + 4 * A) (mod N) - uint256 private constant C4 = - 0x10216f7ba065e00de81ac1e7808072c9dd2b2385cd7b438469602eb24829a9bd; + uint256 private constant C4 = 0x10216f7ba065e00de81ac1e7808072c9dd2b2385cd7b438469602eb24829a9bd; /// @notice (N - 1) / 2 - uint256 private constant C5 = - 0x183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3; + uint256 private constant C5 = 0x183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3; // Error messages @@ -69,11 +58,11 @@ library BLS { /// @param pubkey The public key (G2 point) /// @param message The message that was signed (G1 point) /// @return success True if the pairing check succeeds and if the precompile call to verify the signature succeeds - function verifySingle( - uint256[2] memory signature, - uint256[4] memory pubkey, - uint256[2] memory message - ) internal view returns (bool) { + function verifySingle(uint256[2] memory signature, uint256[4] memory pubkey, uint256[2] memory message) + internal + view + returns (bool) + { // Prepare input for the pairing check uint256[12] memory input = [ signature[0], @@ -94,14 +83,7 @@ library BLS { uint256[1] memory out; // slither-disable-next-line assembly assembly { - callSuccess := staticcall( - sub(gas(), 2000), - 8, - input, - 384, - out, - 0x20 - ) + callSuccess := staticcall(sub(gas(), 2000), 8, input, 384, out, 0x20) } return (callSuccess && (out[0] != 0)); } @@ -110,10 +92,7 @@ library BLS { /// @param domain Domain separation tag /// @param message Message to hash /// @return A point in G1 - function hashToPoint( - bytes memory domain, - bytes memory message - ) internal view returns (uint256[2] memory) { + function hashToPoint(bytes memory domain, bytes memory message) internal view returns (uint256[2] memory) { // Hash the message to two field elements uint256[2] memory u = hashToField(domain, message); @@ -139,9 +118,7 @@ library BLS { //// @notice Check if a given signature is valid (i.e., on the curve) /// @param signature The signature to check /// @return True if the signature is valid - function isValidSignature( - uint256[2] memory signature - ) internal pure returns (bool) { + function isValidSignature(uint256[2] memory signature) internal pure returns (bool) { if ((signature[0] >= N) || (signature[1] >= N)) { return false; } else { @@ -155,14 +132,8 @@ library BLS { /// quadratic extension, and $O$ the point at infinity. /// @param publicKey The public key to check /// @return True if the public key is valid - function isValidPublicKey( - uint256[4] memory publicKey - ) internal view returns (bool) { - if ( - (publicKey[0] >= N) || - (publicKey[1] >= N) || - (publicKey[2] >= N || (publicKey[3] >= N)) - ) { + function isValidPublicKey(uint256[4] memory publicKey) internal view returns (bool) { + if ((publicKey[0] >= N) || (publicKey[1] >= N) || (publicKey[2] >= N || (publicKey[3] >= N))) { return false; } else { return isElementOfG2(publicKey); @@ -172,9 +143,7 @@ library BLS { /// @notice Check if a point is on the G1 curve /// @param point The point to check /// @return isOnCurve True if the point is on the curve - function isOnCurveG1( - uint256[2] memory point - ) internal pure returns (bool isOnCurve) { + function isOnCurveG1(uint256[2] memory point) internal pure returns (bool isOnCurve) { // slither-disable-next-line assembly assembly { // Load point coordinates @@ -195,29 +164,13 @@ library BLS { /// the gas of the precompile static call. /// @param point The point to check /// @return bool True if the point is in the r-torsion G2 - function isElementOfG2( - uint256[4] memory point - ) internal view returns (bool) { - uint256[6] memory input = [ - 0, - 0, - point[1], - point[0], - point[3], - point[2] - ]; + function isElementOfG2(uint256[4] memory point) internal view returns (bool) { + uint256[6] memory input = [0, 0, point[1], point[0], point[3], point[2]]; bool callSuccess; uint256[1] memory out; // slither-disable-next-line assembly assembly { - callSuccess := staticcall( - sub(gas(), 2000), - 8, - input, - 192, - out, - 0x20 - ) + callSuccess := staticcall(sub(gas(), 2000), 8, input, 192, out, 0x20) } return (callSuccess && (out[0] == 1)); } @@ -247,10 +200,7 @@ library BLS { /// @param domain Domain separation tag /// @param message Message to hash /// @return Two field elements - function hashToField( - bytes memory domain, - bytes memory message - ) internal pure returns (uint256[2] memory) { + function hashToField(bytes memory domain, bytes memory message) internal pure returns (uint256[2] memory) { bytes memory _msg = expandMsgTo96(domain, message); uint256 u0; uint256 u1; @@ -278,43 +228,22 @@ library BLS { /// in rfc9380 section 5.3.1, using H = keccak256. /// @param dst Domain separation tag /// @param message Message to expand - function expandMsgTo96( - bytes memory dst, - bytes memory message - ) internal pure returns (bytes memory) { + function expandMsgTo96(bytes memory dst, bytes memory message) internal pure returns (bytes memory) { uint256 domainLen = dst.length; if (domainLen > 255) { revert InvalidDSTLength(dst); } bytes memory zpad = new bytes(136); - bytes memory b_0 = abi.encodePacked( - zpad, - message, - uint8(0), - uint8(96), - uint8(0), - dst, - uint8(domainLen) - ); + bytes memory b_0 = abi.encodePacked(zpad, message, uint8(0), uint8(96), uint8(0), dst, uint8(domainLen)); bytes32 b0 = keccak256(b_0); - bytes memory b_i = abi.encodePacked( - b0, - uint8(1), - dst, - uint8(domainLen) - ); + bytes memory b_i = abi.encodePacked(b0, uint8(1), dst, uint8(domainLen)); bytes32 bi = keccak256(b_i); bytes memory out = new bytes(96); uint256 ell = 3; for (uint256 i = 1; i < ell; i++) { - b_i = abi.encodePacked( - b0 ^ bi, - uint8(1 + i), - dst, - uint8(domainLen) - ); + b_i = abi.encodePacked(b0 ^ bi, uint8(1 + i), dst, uint8(domainLen)); // slither-disable-next-line assembly assembly { let p := add(32, out) diff --git a/src/ModExp.sol b/src/ModExp.sol index daa9d8a..164c78a 100644 --- a/src/ModExp.sol +++ b/src/ModExp.sol @@ -30,22 +30,9 @@ library ModexpInverse { mstore(add(memPtr, 0x20), 0x20) mstore(add(memPtr, 0x40), 0x20) mstore(add(memPtr, 0x60), base) - mstore( - add(memPtr, 0x80), - 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd45 - ) - mstore( - add(memPtr, 0xa0), - 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47 - ) - success := staticcall( - sub(gas(), 2000), - 0x05, - memPtr, - 0xc0, - memPtr, - 0x20 - ) + mstore(add(memPtr, 0x80), 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd45) + mstore(add(memPtr, 0xa0), 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47) + success := staticcall(sub(gas(), 2000), 0x05, memPtr, 0xc0, memPtr, 0x20) result := mload(memPtr) } } @@ -75,22 +62,9 @@ library ModexpSqrt { mstore(add(memPtr, 0x20), 0x20) mstore(add(memPtr, 0x40), 0x20) mstore(add(memPtr, 0x60), base) - mstore( - add(memPtr, 0x80), - 0xc19139cb84c680a6e14116da060561765e05aa45a1c72a34f082305b61f3f52 - ) - mstore( - add(memPtr, 0xa0), - 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47 - ) - success := staticcall( - sub(gas(), 2000), - 0x05, - memPtr, - 0xc0, - memPtr, - 0x20 - ) + mstore(add(memPtr, 0x80), 0xc19139cb84c680a6e14116da060561765e05aa45a1c72a34f082305b61f3f52) + mstore(add(memPtr, 0xa0), 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47) + success := staticcall(sub(gas(), 2000), 0x05, memPtr, 0xc0, memPtr, 0x20) result := mload(memPtr) } } diff --git a/test/solbls.unit.t.sol b/test/solbls.unit.t.sol index e73e283..87eabe2 100644 --- a/test/solbls.unit.t.sol +++ b/test/solbls.unit.t.sol @@ -26,18 +26,11 @@ contract BLSUnitTest is Test { // Constants for hashing and padding uint256 zero = 0; string domain = "BLS_SIG_BN254G1_XMD:KECCAK-256_SSWU_RO_NUL_"; - bytes zpad = - abi.encodePacked(abi.encodePacked(zero, zero, zero, zero), uint64(0)); + bytes zpad = abi.encodePacked(abi.encodePacked(zero, zero, zero, zero), uint64(0)); // Load test cases from JSON file string root = vm.projectRoot(); - string json = - vm.readFile( - string.concat( - root, - "/test/sage_reference/bn254_reference_transformed.json" - ) - ); + string json = vm.readFile(string.concat(root, "/test/sage_reference/bn254_reference_transformed.json")); uint256[] private_keys = vm.parseJsonUintArray(json, ".private_keys"); // setUp function to initialize test data @@ -47,22 +40,10 @@ contract BLSUnitTest is Test { string memory strNum = vm.toString(i); string memory left = string.concat("[", strNum); string memory lookup = string.concat(left, "]"); - uint256[] memory rawG1 = vm.parseJsonUintArray( - json, - string.concat(".G1_signatures", lookup) - ); - uint256[] memory rawG2 = vm.parseJsonUintArray( - json, - string.concat(".G2_public_keys", lookup) - ); - uint256[] memory rawE2 = vm.parseJsonUintArray( - json, - string.concat(".E2_non_G2", lookup) - ); - uint256[] memory rawSVDW = vm.parseJsonUintArray( - json, - string.concat(".svdw", lookup) - ); + uint256[] memory rawG1 = vm.parseJsonUintArray(json, string.concat(".G1_signatures", lookup)); + uint256[] memory rawG2 = vm.parseJsonUintArray(json, string.concat(".G2_public_keys", lookup)); + uint256[] memory rawE2 = vm.parseJsonUintArray(json, string.concat(".E2_non_G2", lookup)); + uint256[] memory rawSVDW = vm.parseJsonUintArray(json, string.concat(".svdw", lookup)); g1_signatures.push(rawG1); g2_public_keys.push(rawG2); e2_non_g2.push(rawE2); @@ -78,84 +59,40 @@ contract BLSUnitTest is Test { // Construct and hash the initial message block bytes memory b_0 = abi.encodePacked( - zpad, - expMsg, - uint8(outputLen >> 8), - uint8(outputLen & 255), - uint8(0), - bytes(domain), - domainLength + zpad, expMsg, uint8(outputLen >> 8), uint8(outputLen & 255), uint8(0), bytes(domain), domainLength ); bytes32 b_0_hashed = keccak256(b_0); // Construct and hash subsequent blocks (simplified version of the loop in BLS.ts) - bytes memory b_i = abi.encodePacked( - b_0_hashed, - uint8(1), - bytes(domain), - domainLength - ); + bytes memory b_i = abi.encodePacked(b_0_hashed, uint8(1), bytes(domain), domainLength); bytes32 b_i_hashed = keccak256(b_i); - bytes memory newb_i = abi.encodePacked( - b_i_hashed ^ b_0_hashed, - uint8(2), - bytes(domain), - domainLength - ); + bytes memory newb_i = abi.encodePacked(b_i_hashed ^ b_0_hashed, uint8(2), bytes(domain), domainLength); bytes32 newHash = keccak256(newb_i); - bytes memory newb_ii = abi.encodePacked( - newHash ^ b_0_hashed, - uint8(3), - bytes(domain), - domainLength - ); + bytes memory newb_ii = abi.encodePacked(newHash ^ b_0_hashed, uint8(3), bytes(domain), domainLength); bytes32 secondHash = keccak256(newb_ii); // Assert equivalence between our implementation and the library assert( - keccak256(BLS.expandMsgTo96(bytes(domain), expMsg)) == - keccak256(abi.encodePacked(b_i_hashed, newHash, secondHash)) + keccak256(BLS.expandMsgTo96(bytes(domain), expMsg)) + == keccak256(abi.encodePacked(b_i_hashed, newHash, secondHash)) ); } // Helper function for expand_message, used by testHash_to_field - function expand_message( - bytes memory message - ) private view returns (bytes memory) { + function expand_message(bytes memory message) private view returns (bytes memory) { uint8 outputLen = 96; uint8 domainLength = 43; bytes memory b_0 = abi.encodePacked( - zpad, - message, - uint8(outputLen >> 8), - uint8(outputLen & 255), - uint8(0), - bytes(domain), - domainLength + zpad, message, uint8(outputLen >> 8), uint8(outputLen & 255), uint8(0), bytes(domain), domainLength ); bytes32 b_0_hashed = keccak256(b_0); - bytes memory b_i = abi.encodePacked( - b_0_hashed, - uint8(1), - bytes(domain), - domainLength - ); + bytes memory b_i = abi.encodePacked(b_0_hashed, uint8(1), bytes(domain), domainLength); bytes32 b_i_hashed = keccak256(b_i); - bytes memory newb_i = abi.encodePacked( - b_i_hashed ^ b_0_hashed, - uint8(2), - bytes(domain), - domainLength - ); + bytes memory newb_i = abi.encodePacked(b_i_hashed ^ b_0_hashed, uint8(2), bytes(domain), domainLength); bytes32 newHash = keccak256(newb_i); - bytes memory newb_ii = abi.encodePacked( - newHash ^ b_0_hashed, - uint8(3), - bytes(domain), - domainLength - ); + bytes memory newb_ii = abi.encodePacked(newHash ^ b_0_hashed, uint8(3), bytes(domain), domainLength); bytes32 secondHash = keccak256(newb_ii); return abi.encodePacked(b_i_hashed, newHash, secondHash); @@ -164,8 +101,7 @@ contract BLSUnitTest is Test { // Test the hash_to_field function used in BLS signatures function testHash_to_field(bytes memory rands) public view { bytes memory expanded = expand_message(rands); - bytes - memory ord = hex"30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47"; + bytes memory ord = hex"30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47"; // Split the expanded message into two parts bytes memory left = new bytes(48); @@ -219,21 +155,13 @@ contract BLSUnitTest is Test { // Check internal consistency of the library function testLibraryConsistent() public noGasMetering { - uint256[2] memory pt = BLS.hashToPoint( - bytes(domain), - bytes("Hello world!") - ); + uint256[2] memory pt = BLS.hashToPoint(bytes(domain), bytes("Hello world!")); assert(BLS.isOnCurveG1(pt)); for (uint256 i = 0; i < 1000; i++) { uint256[] memory iq = g1_signatures[i]; uint256[] memory iqTwo = g2_public_keys[i]; uint256[2] memory iqOw = [iq[0], iq[1]]; - uint256[4] memory iqTwoOw = [ - iqTwo[0], - iqTwo[1], - iqTwo[2], - iqTwo[3] - ]; + uint256[4] memory iqTwoOw = [iqTwo[0], iqTwo[1], iqTwo[2], iqTwo[3]]; assert(BLS.isValidPublicKey(iqTwoOw)); assert(BLS.isValidSignature(iqOw)); assert(BLS.verifySingle(iqOw, iqTwoOw, pt)); From 9908beadc3c568a8994fa24857298132e0934bc2 Mon Sep 17 00:00:00 2001 From: Tristan Britt <53545754+trbritt@users.noreply.github.com> Date: Tue, 22 Oct 2024 14:00:52 -0700 Subject: [PATCH 4/5] added remediation response --- .../zellic_audit_october_2024_remediation.pdf | Bin 0 -> 1412928 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 audits/zellic_audit_october_2024_remediation.pdf diff --git a/audits/zellic_audit_october_2024_remediation.pdf b/audits/zellic_audit_october_2024_remediation.pdf new file 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a7894c69defabb076a8de0154f4abbd044c3a94f Mon Sep 17 00:00:00 2001 From: Tristan Britt <53545754+trbritt@users.noreply.github.com> Date: Tue, 5 Nov 2024 13:19:59 -0800 Subject: [PATCH 5/5] enforce lower bound on dst length --- src/BLS.sol | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/BLS.sol b/src/BLS.sol index 7a778d6..7807909 100644 --- a/src/BLS.sol +++ b/src/BLS.sol @@ -230,7 +230,7 @@ library BLS { /// @param message Message to expand function expandMsgTo96(bytes memory dst, bytes memory message) internal pure returns (bytes memory) { uint256 domainLen = dst.length; - if (domainLen > 255) { + if ((domainLen > 255) || (domainLen == 0)) { revert InvalidDSTLength(dst); } bytes memory zpad = new bytes(136);