diff --git a/README.md b/README.md index 92565f06..94b7920a 100644 --- a/README.md +++ b/README.md @@ -10,7 +10,7 @@ Solidity modules and utilities that **go far beyond mediocre solidity**. - Implementation of the [**Contracts Registry**](https://eips.ethereum.org/EIPS/eip-6224) pattern -- State-of-the-art cryptography primitives (**ECDSA over 384-bit curves**, **RSASSA-PSS**) +- State-of-the-art cryptography primitives (**ECDSA over 256-bit and 384-bit curves**, **RSASSA-PSS**) - Advanced data structures (**Vector**, **DynamicSet**, **PriorityQueue**, **AVLTree**) - ZK-friendly [**Sparse Merkle Tree**](https://docs.iden3.io/publications/pdfs/Merkle-Tree.pdf) and [**Incremental Merkle Tree**](https://github.com/runtimeverification/deposit-contract-verification/blob/master/deposit-contract-verification.pdf) implementations - Versatile access control smart contracts (**Merkle whitelists**, **RBAC**) diff --git a/contracts/libs/crypto/ECDSA256.sol b/contracts/libs/crypto/ECDSA256.sol new file mode 100644 index 00000000..d5c8e8f1 --- /dev/null +++ b/contracts/libs/crypto/ECDSA256.sol @@ -0,0 +1,423 @@ +// SPDX-License-Identifier: MIT +// Reference: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v5.1.0/contracts/utils/cryptography/P256.sol +pragma solidity ^0.8.4; + +/** + * @notice Cryptography module + * + * This library provides functionality for ECDSA verification over any 256-bit curve. + * + * For more information, please refer to the OpenZeppelin documentation. + */ +library ECDSA256 { + /** + * @notice 256-bit curve parameters. + */ + struct Parameters { + uint256 a; + uint256 b; + uint256 gx; + uint256 gy; + uint256 p; + uint256 n; + uint256 lowSmax; + } + + struct _JPoint { + uint256 x; + uint256 y; + uint256 z; + } + + struct _Inputs { + uint256 r; + uint256 s; + uint256 x; + uint256 y; + } + + /** + * @notice The function to verify the ECDSA signature + * @param curveParams_ the 256-bit curve parameters. `lowSmax` is `n / 2`. + * @param hashedMessage_ the already hashed message to be verified. + * @param signature_ the ECDSA signature. Equals to `bytes(r) + bytes(s)`. + * @param pubKey_ the full public key of a signer. Equals to `bytes(x) + bytes(y)`. + * + * Note that signatures only from the lower part of the curve are accepted. + * If your `s > n / 2`, change it to `s = n - s`. + */ + function verify( + Parameters memory curveParams_, + bytes32 hashedMessage_, + bytes memory signature_, + bytes memory pubKey_ + ) internal view returns (bool) { + unchecked { + _Inputs memory inputs_; + + (inputs_.r, inputs_.s) = _split(signature_); + (inputs_.x, inputs_.y) = _split(pubKey_); + + if ( + !_isProperSignature(inputs_.r, inputs_.s, curveParams_.n, curveParams_.lowSmax) || + !_isOnCurve(inputs_.x, inputs_.y, curveParams_.a, curveParams_.b, curveParams_.p) + ) { + return false; + } + + uint256 u1_; + uint256 u2_; + + { + uint256 w_ = _invModPrime(inputs_.s, curveParams_.n); + u1_ = mulmod(uint256(hashedMessage_), w_, curveParams_.n); + u2_ = mulmod(inputs_.r, w_, curveParams_.n); + } + + uint256 x_; + + { + _JPoint[16] memory points_ = _preComputeJacobianPoints( + inputs_.x, + inputs_.y, + curveParams_.gx, + curveParams_.gy, + curveParams_.p, + curveParams_.a + ); + + (x_, ) = _jMultShamir(points_, u1_, u2_, curveParams_.p, curveParams_.a); + } + + return x_ % curveParams_.n == inputs_.r; + } + } + + /** + * @dev Checks if (x, y) are valid coordinates of a point on the curve. + * In particular this function checks that x < P and y < P. + */ + function _isOnCurve( + uint256 x_, + uint256 y_, + uint256 a_, + uint256 b_, + uint256 p_ + ) private pure returns (bool result_) { + assembly ("memory-safe") { + let lhs_ := mulmod(y_, y_, p_) + let rhs_ := addmod(mulmod(addmod(mulmod(x_, x_, p_), a_, p_), x_, p_), b_, p_) + + result_ := and(and(lt(x_, p_), lt(y_, p_)), eq(lhs_, rhs_)) // Should conform with the Weierstrass equation + } + } + + /** + * @dev Checks if (r, s) is a proper signature. + * In particular, this checks that `s` is in the "lower-range", making the signature non-malleable + */ + function _isProperSignature( + uint256 r_, + uint256 s_, + uint256 n_, + uint256 lowSmax_ + ) private pure returns (bool) { + return r_ > 0 && r_ < n_ && s_ > 0 && s_ <= lowSmax_; + } + + /** + * @dev Reduce from jacobian to affine coordinates + * @param point_ - point with jacobian coordinate x, y and z + * @return ax_ - affine coordinate x + * @return ay_ - affine coordinate y + */ + function _affineFromJacobian( + _JPoint memory point_, + uint256 p_ + ) private view returns (uint256 ax_, uint256 ay_) { + if (point_.z == 0) return (0, 0); + + uint256 zInverse_ = _invModPrime(point_.z, p_); + + assembly ("memory-safe") { + let zzInverse_ := mulmod(zInverse_, zInverse_, p_) + + ax_ := mulmod(mload(point_), zzInverse_, p_) + ay_ := mulmod(mload(add(point_, 0x20)), mulmod(zzInverse_, zInverse_, p_), p_) + } + } + + /** + * @dev Point addition on the jacobian coordinates + * Reference: https://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-add-1998-cmo-2 + */ + function _jAdd( + _JPoint memory point1_, + _JPoint memory point2_, + uint256 p_, + uint256 a_ + ) private pure returns (uint256 resX_, uint256 resY_, uint256 resZ_) { + assembly ("memory-safe") { + let zz1_ := mulmod(mload(add(point1_, 0x40)), mload(add(point1_, 0x40)), p_) + let s1_ := mulmod( + mload(add(point1_, 0x20)), + mulmod( + mulmod(mload(add(point2_, 0x40)), mload(add(point2_, 0x40)), p_), + mload(add(point2_, 0x40)), + p_ + ), + p_ + ) + let r_ := addmod( + mulmod(mload(add(point2_, 0x20)), mulmod(zz1_, mload(add(point1_, 0x40)), p_), p_), + sub(p_, s1_), + p_ + ) + let u1_ := mulmod( + mload(point1_), + mulmod(mload(add(point2_, 0x40)), mload(add(point2_, 0x40)), p_), + p_ + ) + let h_ := addmod(mulmod(mload(point2_), zz1_, p_), sub(p_, u1_), p_) + + // detect edge cases where inputs are identical + switch and(iszero(r_), iszero(h_)) + // case 0: points are different + case 0 { + let hh_ := mulmod(h_, h_, p_) + + resX_ := addmod( + addmod(mulmod(r_, r_, p_), sub(p_, mulmod(h_, hh_, p_)), p_), + sub(p_, mulmod(2, mulmod(u1_, hh_, p_), p_)), + p_ + ) + resY_ := addmod( + mulmod(r_, addmod(mulmod(u1_, hh_, p_), sub(p_, resX_), p_), p_), + sub(p_, mulmod(s1_, mulmod(h_, hh_, p_), p_)), + p_ + ) + resZ_ := mulmod( + h_, + mulmod(mload(add(point1_, 0x40)), mload(add(point2_, 0x40)), p_), + p_ + ) + } + // case 1: points are equal + case 1 { + let yy_ := mulmod(mload(add(point2_, 0x20)), mload(add(point2_, 0x20)), p_) + let zz_ := mulmod(mload(add(point2_, 0x40)), mload(add(point2_, 0x40)), p_) + let xx_ := mulmod(mload(point2_), mload(point2_), p_) + let m_ := addmod(mulmod(3, xx_, p_), mulmod(a_, mulmod(zz_, zz_, p_), p_), p_) + let s_ := mulmod(4, mulmod(mload(point2_), yy_, p_), p_) + + resX_ := addmod(mulmod(m_, m_, p_), sub(p_, mulmod(2, s_, p_)), p_) + + // cut the computation to avoid stack too deep + let rytmp1_ := sub(p_, mulmod(8, mulmod(yy_, yy_, p_), p_)) + let rytmp2_ := addmod(s_, sub(p_, resX_), p_) + resY_ := addmod(mulmod(m_, rytmp2_, p_), rytmp1_, p_) + + resZ_ := mulmod( + 2, + mulmod(mload(add(point2_, 0x20)), mload(add(point2_, 0x40)), p_), + p_ + ) + } + } + } + + /** + * @dev Point doubling on the jacobian coordinates + * Reference: https://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#doubling-dbl-1998-cmo-2 + */ + function _jDouble( + uint256 x_, + uint256 y_, + uint256 z_, + uint256 p_, + uint256 a_ + ) private pure returns (uint256 resX_, uint256 resY_, uint256 resZ_) { + assembly ("memory-safe") { + let yy_ := mulmod(y_, y_, p_) + let zz_ := mulmod(z_, z_, p_) + let m_ := addmod( + mulmod(3, mulmod(x_, x_, p_), p_), + mulmod(a_, mulmod(zz_, zz_, p_), p_), + p_ + ) + let s_ := mulmod(4, mulmod(x_, yy_, p_), p_) + + resX_ := addmod(mulmod(m_, m_, p_), sub(p_, mulmod(2, s_, p_)), p_) + resY_ := addmod( + mulmod(m_, addmod(s_, sub(p_, resX_), p_), p_), + sub(p_, mulmod(8, mulmod(yy_, yy_, p_), p_)), + p_ + ) + resZ_ := mulmod(2, mulmod(y_, z_, p_), p_) + } + } + + /** + * @dev Compute G·u1 + P·u2 using the precomputed points for G and P (see {_preComputeJacobianPoints}). + * + * Uses Strauss Shamir trick for EC multiplication + * https://stackoverflow.com/questions/50993471/ec-scalar-multiplication-with-strauss-shamir-method + */ + function _jMultShamir( + _JPoint[16] memory points_, + uint256 u1_, + uint256 u2_, + uint256 p_, + uint256 a_ + ) private view returns (uint256 resX_, uint256 resY_) { + _JPoint memory point_; + + unchecked { + for (uint256 i = 0; i < 128; ++i) { + if (point_.z > 0) { + (point_.x, point_.y, point_.z) = _jDouble( + point_.x, + point_.y, + point_.z, + p_, + a_ + ); + (point_.x, point_.y, point_.z) = _jDouble( + point_.x, + point_.y, + point_.z, + p_, + a_ + ); + } + // Read 2 bits of u1, and 2 bits of u2. Combining the two gives the lookup index in the table. + uint256 pos_ = ((u1_ >> 252) & 0xc) | ((u2_ >> 254) & 0x3); + // Points that have z = 0 are points at infinity. They are the additive 0 of the group + // - if the lookup point is a 0, we can skip it + // - otherwise: + // - if the current point (x, y, z) is 0, we use the lookup point as our new value (0+P=P) + // - if the current point (x, y, z) is not 0, both points are valid and we can use `_jAdd` + if (points_[pos_].z != 0) { + if (point_.z == 0) { + (point_.x, point_.y, point_.z) = ( + points_[pos_].x, + points_[pos_].y, + points_[pos_].z + ); + } else { + (point_.x, point_.y, point_.z) = _jAdd(points_[pos_], point_, p_, a_); + } + } + u1_ <<= 2; + u2_ <<= 2; + } + } + return _affineFromJacobian(point_, p_); + } + + /** + * @dev Precompute a matrice of useful jacobian points associated with a given P. This can be seen as a 4x4 matrix + * that contains combination of P and G (generator) up to 3 times each + */ + function _preComputeJacobianPoints( + uint256 x_, + uint256 y_, + uint256 gx_, + uint256 gy_, + uint256 p_, + uint256 a_ + ) private pure returns (_JPoint[16] memory points_) { + points_[0x00] = _JPoint(0, 0, 0); + points_[0x01] = _JPoint(x_, y_, 1); + points_[0x04] = _JPoint(gx_, gy_, 1); + points_[0x02] = _jDoublePoint(points_[0x01], p_, a_); + points_[0x08] = _jDoublePoint(points_[0x04], p_, a_); + points_[0x03] = _jAddPoint(points_[0x01], points_[0x02], p_, a_); + points_[0x05] = _jAddPoint(points_[0x01], points_[0x04], p_, a_); + points_[0x06] = _jAddPoint(points_[0x02], points_[0x04], p_, a_); + points_[0x07] = _jAddPoint(points_[0x03], points_[0x04], p_, a_); + points_[0x09] = _jAddPoint(points_[0x01], points_[0x08], p_, a_); + points_[0x0a] = _jAddPoint(points_[0x02], points_[0x08], p_, a_); + points_[0x0b] = _jAddPoint(points_[0x03], points_[0x08], p_, a_); + points_[0x0c] = _jAddPoint(points_[0x04], points_[0x08], p_, a_); + points_[0x0d] = _jAddPoint(points_[0x01], points_[0x0c], p_, a_); + points_[0x0e] = _jAddPoint(points_[0x02], points_[0x0c], p_, a_); + points_[0x0f] = _jAddPoint(points_[0x03], points_[0x0c], p_, a_); + } + + function _jAddPoint( + _JPoint memory point1_, + _JPoint memory point2_, + uint256 p_, + uint256 a_ + ) private pure returns (_JPoint memory) { + (uint256 x_, uint256 y_, uint256 z_) = _jAdd(point1_, point2_, p_, a_); + + return _JPoint(x_, y_, z_); + } + + function _jDoublePoint( + _JPoint memory point_, + uint256 p_, + uint256 a_ + ) private pure returns (_JPoint memory) { + (uint256 x_, uint256 y_, uint256 z_) = _jDouble(point_.x, point_.y, point_.z, p_, a_); + + return _JPoint(x_, y_, z_); + } + + /** + * @dev Helper function for splitting bytes into two uint256 values. Used for 64-byte signatures and public keys + */ + function _split( + bytes memory from2_ + ) private pure returns (uint256 leftPart_, uint256 rightPart_) { + unchecked { + require(from2_.length == 64, "ECDSA256: length is not 64"); + + assembly ("memory-safe") { + leftPart_ := mload(add(from2_, 32)) + rightPart_ := mload(add(from2_, 64)) + } + + return (leftPart_, rightPart_); + } + } + + /** + * @dev Calculate the modular multiplicative inverse via Fermat's little theorem. + * Only works if `modulus_` is known to be a prime greater than `2`. + */ + function _invModPrime(uint256 base_, uint256 modulus_) private view returns (uint256) { + unchecked { + return _modExp(base_, modulus_ - 2, modulus_); + } + } + + /** + * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m). + */ + function _modExp( + uint256 base_, + uint256 exponent_, + uint256 modulus_ + ) private view returns (uint256 result_) { + require(modulus_ != 0, "ECDSA256: division by zero"); + + assembly ("memory-safe") { + let pointer_ := mload(0x40) + + mstore(pointer_, 0x20) + mstore(add(pointer_, 0x20), 0x20) + mstore(add(pointer_, 0x40), 0x20) + mstore(add(pointer_, 0x60), base_) + mstore(add(pointer_, 0x80), exponent_) + mstore(add(pointer_, 0xa0), modulus_) + + pop(staticcall(gas(), 0x05, pointer_, 0xc0, 0x00, 0x20)) + result_ := mload(0x00) + } + + return result_; + } +} diff --git a/contracts/mock/libs/crypto/ECDSA256Mock.sol b/contracts/mock/libs/crypto/ECDSA256Mock.sol new file mode 100644 index 00000000..f95457e5 --- /dev/null +++ b/contracts/mock/libs/crypto/ECDSA256Mock.sol @@ -0,0 +1,46 @@ +// SPDX-License-Identifier: MIT +pragma solidity ^0.8.4; + +import {ECDSA256} from "../../../libs/crypto/ECDSA256.sol"; + +contract ECDSA256Mock { + using ECDSA256 for *; + + ECDSA256.Parameters private _secp256r1CurveParams = + ECDSA256.Parameters({ + a: 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC, + b: 0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B, + gx: 0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296, + gy: 0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5, + p: 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF, + n: 0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551, + lowSmax: 0x7fffffff800000007fffffffffffffffde737d56d38bcf4279dce5617e3192a8 + }); + + ECDSA256.Parameters private _brainpoolP256r1CurveParams = + ECDSA256.Parameters({ + a: 0x7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9, + b: 0x26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6, + gx: 0x8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262, + gy: 0x547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997, + p: 0xA9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377, + n: 0xA9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7, + lowSmax: 0x54fdabedd0f754de1f3305484ec1c6b9371dfb11ea9310141009a40e8fb729bb + }); + + function verifySECP256r1( + bytes memory message_, + bytes memory signature_, + bytes memory pubKey_ + ) external view returns (bool) { + return _secp256r1CurveParams.verify(sha256(message_), signature_, pubKey_); + } + + function verifyBrainpoolP256r1( + bytes calldata message_, + bytes memory signature_, + bytes memory pubKey_ + ) external view returns (bool) { + return _brainpoolP256r1CurveParams.verify(sha256(message_), signature_, pubKey_); + } +} diff --git a/package-lock.json b/package-lock.json index 96721ca1..9856a9b3 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,12 +1,12 @@ { "name": "@solarity/solidity-lib", - "version": "2.7.12", + "version": "2.7.13", "lockfileVersion": 3, "requires": true, "packages": { "": { "name": "@solarity/solidity-lib", - "version": "2.7.12", + "version": "2.7.13", "license": "MIT", "dependencies": { "@openzeppelin/contracts": "4.9.6", @@ -59,12 +59,13 @@ "dev": true }, "node_modules/@babel/code-frame": { - "version": "7.24.7", - "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.24.7.tgz", - "integrity": "sha512-BcYH1CVJBO9tvyIZ2jVeXgSIMvGZ2FDRvDdOIVQyuklNKSsx+eppDEBq/g47Ayw+RqNFE+URvOShmf+f/qwAlA==", + "version": "7.26.2", + "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.26.2.tgz", + "integrity": "sha512-RJlIHRueQgwWitWgF8OdFYGZX328Ax5BCemNGlqHfplnRT9ESi8JkFlvaVYbS+UubVY6dpv87Fs2u5M29iNFVQ==", "dev": true, "dependencies": { - "@babel/highlight": "^7.24.7", + "@babel/helper-validator-identifier": "^7.25.9", + "js-tokens": "^4.0.0", "picocolors": "^1.0.0" }, "engines": { @@ -72,25 +73,10 @@ } }, "node_modules/@babel/helper-validator-identifier": { - 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"version": "2.7.12", + "version": "2.7.13", "license": "MIT", "author": "Distributed Lab", "readme": "README.md", diff --git a/test/libs/crypto/ECDSA256.test.ts b/test/libs/crypto/ECDSA256.test.ts new file mode 100644 index 00000000..8354b158 --- /dev/null +++ b/test/libs/crypto/ECDSA256.test.ts @@ -0,0 +1,83 @@ +import { ethers } from "hardhat"; +import { expect } from "chai"; +import { Reverter } from "@/test/helpers/reverter"; + +import { ECDSA256Mock } from "@ethers-v6"; + +describe("ECDSA256", () => { + const reverter = new Reverter(); + + let ecdsa256: ECDSA256Mock; + + before(async () => { + const ECDSA256Mock = await ethers.getContractFactory("ECDSA256Mock"); + + ecdsa256 = await ECDSA256Mock.deploy(); + + await reverter.snapshot(); + }); + + afterEach(reverter.revert); + + describe("SECP256r1", () => { + const signature = + "0x37a1459a56f4042601208db702c24b7a4fde91f4445e29a76a503d7282cdea2250f70e34c15cd4944da0326e9096e708434e0fb7de61341e129aca1d45380752"; + const pubKey = + "0x9e8ead221eb5e27aa9e07db415c5ebfd21683bac0c64fed612c158ee859f7ab93d63a507c81c32151cb1494fab248dc62c22fa488e1950090c2221f7918d1fc1"; + const message = "0x1b2ca2c2da4b5051c99194d850326cd24971e6e8ceffea5c5c7097dbdff5299b"; + + describe("verify", () => { + it("should verify the signature", async () => { + expect(await ecdsa256.verifySECP256r1(message, signature, pubKey)).to.be.true; + }); + + it("should not verify invalid signature", async () => { + const message = "0x0123456789"; + + expect(await ecdsa256.verifySECP256r1(message, signature, pubKey)).to.be.false; + }); + + it("should revert if signature or public key is invalid", async () => { + const wrongSig = ethers.toBeHex(0, 0x40); + + expect(await ecdsa256.verifySECP256r1(message, wrongSig, pubKey)).to.be.false; + + const wrongPubKey = ethers.toBeHex(0, 0x40); + + expect(await ecdsa256.verifySECP256r1(message, signature, wrongPubKey)).to.be.false; + }); + + it("should revert if signature or public key has an invalid length", async () => { + const wrongSig = "0x0101"; + + await expect(ecdsa256.verifySECP256r1(message, wrongSig, pubKey)).to.be.revertedWith( + "ECDSA256: length is not 64", + ); + + const wrongPubKey = "0x0101"; + + await expect(ecdsa256.verifySECP256r1(message, signature, wrongPubKey)).to.be.revertedWith( + "ECDSA256: length is not 64", + ); + }); + }); + }); + + describe("brainpoolP256r1", () => { + const signature = + "0x1a721d3ca6078e208eddb80a3d3290c7bfa9208bc03c78e0f9cec5698502cf550a7d38a45e938e6bc57fe019522057e7c21c58e132f99fce8abdaed2a100fad1"; + const pubKey = + "0x5ef984318687d0479c53d4d646de58f4e83862c757911deef88d87db076642666c2fcee77129605fa64c9df4edc508978496865fb3300a2a6d8fc54c350da7b1"; + const message = "0x68656c6c6f20776f726c64"; + + it("should verify the signature", async () => { + expect(await ecdsa256.verifyBrainpoolP256r1(message, signature, pubKey)).to.be.true; + }); + + it("should not verify invalid signature", async () => { + const message = "0x0123456789"; + + expect(await ecdsa256.verifyBrainpoolP256r1(message, signature, pubKey)).to.be.false; + }); + }); +});