diff --git a/.github/funding.yml b/.github/funding.yml deleted file mode 100644 index 43f16ab..0000000 --- a/.github/funding.yml +++ /dev/null @@ -1,2 +0,0 @@ -github: paulmillr -# custom: https://paulmillr.com/funding/ \ No newline at end of file diff --git a/.github/workflows/nodejs-polyfill.yml b/.github/workflows/nodejs-polyfill.yml new file mode 100644 index 0000000..dfe635e --- /dev/null +++ b/.github/workflows/nodejs-polyfill.yml @@ -0,0 +1,24 @@ +name: Run node.js tests with polyfill +on: + - push + - pull_request +jobs: + test: + name: v${{ matrix.node }} @ ubuntu-latest with polyfill + runs-on: ubuntu-latest + strategy: + matrix: + node: + - 18 + - 20 + - 22 + steps: + - uses: actions/checkout@1e31de5234b9f8995739874a8ce0492dc87873e2 # v4 + - name: Use Node.js ${{ matrix.node }} + uses: actions/setup-node@8f152de45cc393bb48ce5d89d36b731f54556e65 # v4 + with: + node-version: ${{ matrix.node }} + - run: npm install + - run: npm run build --if-present + - run: npm run test:webcrypto + - run: npm run lint --if-present diff --git a/.github/workflows/nodejs.yml b/.github/workflows/nodejs.yml index 875aeff..e946b20 100644 --- a/.github/workflows/nodejs.yml +++ b/.github/workflows/nodejs.yml @@ -1,17 +1,23 @@ -name: Node CI - -on: [push, pull_request] +name: Run node.js tests +on: + - push + - pull_request jobs: test: - name: v18 @ ubuntu-latest + name: v${{ matrix.node }} @ ubuntu-latest runs-on: ubuntu-latest + strategy: + matrix: + node: + - 20 + - 22 steps: - - uses: actions/checkout@v3 - - name: Use Node.js ${{ matrix.node }} - uses: actions/setup-node@v3 - with: - node-version: 18 - - run: npm install - - run: npm run build --if-present - - run: npm test - - run: npm run lint --if-present + - uses: actions/checkout@1e31de5234b9f8995739874a8ce0492dc87873e2 # v4 + - name: Use Node.js ${{ matrix.node }} + uses: actions/setup-node@8f152de45cc393bb48ce5d89d36b731f54556e65 # v4 + with: + node-version: ${{ matrix.node }} + - run: npm install + - run: npm run build --if-present + - run: npm test + - run: npm run lint --if-present diff --git a/.github/workflows/publish-jsr.yml b/.github/workflows/publish-jsr.yml new file mode 100644 index 0000000..cb43651 --- /dev/null +++ b/.github/workflows/publish-jsr.yml @@ -0,0 +1,14 @@ +name: Publish packge to jsr +on: + release: + types: [created] +jobs: + publish: + runs-on: ubuntu-latest + permissions: + contents: read + id-token: write + steps: + - uses: actions/checkout@1e31de5234b9f8995739874a8ce0492dc87873e2 # v4 + - run: npm install -g jsr + - run: jsr publish --allow-slow-types diff --git a/.github/workflows/publish-npm.yml b/.github/workflows/publish-npm.yml new file mode 100644 index 0000000..cd57db8 --- /dev/null +++ b/.github/workflows/publish-npm.yml @@ -0,0 +1,23 @@ +name: Publish package to npm +on: + release: + types: [created] +jobs: + build: + runs-on: ubuntu-latest + permissions: + contents: read + id-token: write + steps: + - uses: actions/checkout@1e31de5234b9f8995739874a8ce0492dc87873e2 # v4 + - uses: actions/setup-node@8f152de45cc393bb48ce5d89d36b731f54556e65 # v4 + with: + node-version: 20 + registry-url: 'https://registry.npmjs.org' + cache: npm + - run: npm install -g npm + - run: npm ci + - run: npm run build + - run: npm publish --provenance --access public + env: + NODE_AUTH_TOKEN: ${{ secrets.NPM_PUBLISH_TOKEN }} diff --git a/.github/workflows/upload-release.yml b/.github/workflows/upload-release.yml new file mode 100644 index 0000000..a5c02e5 --- /dev/null +++ b/.github/workflows/upload-release.yml @@ -0,0 +1,24 @@ +name: Upload standalone file to GitHub Releases +on: + release: + types: [created] +jobs: + build: + runs-on: ubuntu-latest + permissions: + contents: write + id-token: write + steps: + - uses: actions/checkout@1e31de5234b9f8995739874a8ce0492dc87873e2 # v4 + - uses: actions/setup-node@8f152de45cc393bb48ce5d89d36b731f54556e65 # v4 + with: + node-version: 20 + registry-url: 'https://registry.npmjs.org' + cache: npm + - run: npm install -g npm + - run: npm ci + - run: npm run build + - run: npm run build:release + - run: gh release upload ${{ github.event.release.tag_name }} test/build/dashincubator-secp256k1.min.js test/build/dashincubator-secp256k1.min.js.gz + env: + GH_TOKEN: ${{ github.token }} diff --git a/README.md b/README.md index c67231a..c3ad996 100644 --- a/README.md +++ b/README.md @@ -90,15 +90,26 @@ To use the module with [Deno](https://deno.land), you will need ## API -- [`getPublicKey(privateKey)`](#getpublickeyprivatekey) -- [`sign(msgHash, privateKey)`](#signmsghash-privatekey) -- [`verify(signature, msgHash, publicKey)`](#verifysignature-msghash-publickey) -- [`getSharedSecret(privateKeyA, publicKeyB)`](#getsharedsecretprivatekeya-publickeyb) -- [`recoverPublicKey(hash, signature, recovery)`](#recoverpublickeyhash-signature-recovery) -- [`schnorr.getPublicKey(privateKey)`](#schnorrgetpublickeyprivatekey) -- [`schnorr.sign(message, privateKey)`](#schnorrsignmessage-privatekey) -- [`schnorr.verify(signature, message, publicKey)`](#schnorrverifysignature-message-publickey) -- [Utilities](#utilities) +- [@dashincubator/secp256k1](#dashincubatorsecp256k1) + - [This fork is a standalone browser-compatible release of _noble_ crypto](#this-fork-is-a-standalone-browser-compatible-release-of-noble-crypto) + - [Install](#install) + - [Node, Bun, \& Bundlers](#node-bun--bundlers) + - [Browsers](#browsers) + - [Usage](#usage) + - [API](#api) + - [`getPublicKey(privateKey)`](#getpublickeyprivatekey) + - [`sign(msgHash, privateKey)`](#signmsghash-privatekey) + - [`verify(signature, msgHash, publicKey)`](#verifysignature-msghash-publickey) + - [`getSharedSecret(privateKeyA, publicKeyB)`](#getsharedsecretprivatekeya-publickeyb) + - [`recoverPublicKey(hash, signature, recovery)`](#recoverpublickeyhash-signature-recovery) + - [`schnorr.getPublicKey(privateKey)`](#schnorrgetpublickeyprivatekey) + - [`schnorr.sign(message, privateKey)`](#schnorrsignmessage-privatekey) + - [`schnorr.verify(signature, message, publicKey)`](#schnorrverifysignature-message-publickey) + - [Utilities](#utilities) + - [Security](#security) + - [Speed](#speed) + - [Contributing](#contributing) + - [License](#license) ##### `getPublicKey(privateKey)` @@ -340,84 +351,44 @@ console.log(hex); ```typescript const utils: { - // Can take 40 or more bytes of uniform input e.g. from CSPRNG or KDF - // and convert them into private key, with the modulo bias being neglible. - // As per FIPS 186 B.1.1. - hashToPrivateKey: (hash: Hex) => Uint8Array; - // Returns `Uint8Array` of 32 cryptographically secure random bytes that can be used as private key - randomPrivateKey: () => Uint8Array; - // Checks private key for validity - isValidPrivateKey(privateKey: PrivKey): boolean; - - // Returns `Uint8Array` of x cryptographically secure random bytes. - randomBytes: (bytesLength?: number) => Uint8Array; - // Converts Uint8Array to hex string - bytesToHex(uint8a: Uint8Array): string; - hexToBytes(hex: string): Uint8Array; - concatBytes(...arrays: Uint8Array[]): Uint8Array; - // Modular division over curve prime - mod: (number: number | bigint, modulo = CURVE.P): bigint; - // Modular inversion - invert(number: bigint, modulo?: bigint): bigint; - - sha256: (message: Uint8Array) => Promise; - hmacSha256: (key: Uint8Array, ...messages: Uint8Array[]) => Promise; - - // You can set up your synchronous methods for `signSync`/`signSchnorrSync` to work. - // The argument order is identical to async methods from above - sha256Sync: undefined; - hmacSha256Sync: undefined; - - // BIP0340-style tagged hashes - taggedHash: (tag: string, ...messages: Uint8Array[]) => Promise; - taggedHashSync: (tag: string, ...messages: Uint8Array[]) => Uint8Array; - - // 1. Returns cached point which you can use to pass to `getSharedSecret` or to `#multiply` by it. - // 2. Precomputes point multiplication table. Is done by default on first `getPublicKey()` call. - // If you want your first getPublicKey to take 0.16ms instead of 20ms, make sure to call - // utils.precompute() somewhere without arguments first. - precompute(windowSize?: number, point?: Point): Point; + normPrivateKeyToScalar: (p: PrivKey) => bigint; + randomPrivateKey: () => Bytes; // Uses CSPRNG https://developer.mozilla.org/en-US/docs/Web/API/Crypto/getRandomValues + isValidPrivateKey: (key: Hex) => boolean; + precompute(p: ProjectivePoint, windowSize?: number): ProjectivePoint; }; - -secp256k1.CURVE.P // Field, 2 ** 256 - 2 ** 32 - 977 -secp256k1.CURVE.n // Order, 2 ** 256 - 432420386565659656852420866394968145599 -secp256k1.Point.BASE // new secp256k1.Point(Gx, Gy) where -// Gx = 55066263022277343669578718895168534326250603453777594175500187360389116729240n -// Gy = 32670510020758816978083085130507043184471273380659243275938904335757337482424n; - -// Elliptic curve point in Affine (x, y) coordinates. -secp256k1.Point { - constructor(x: bigint, y: bigint); - // Supports compressed and non-compressed hex - static fromHex(hex: Uint8Array | string); - static fromPrivateKey(privateKey: Uint8Array | string | number | bigint); - static fromSignature( - msgHash: Hex, - signature: Signature, - recovery: number | bigint - ): Point | undefined { - toRawBytes(isCompressed = false): Uint8Array; - toHex(isCompressed = false): string; - equals(other: Point): boolean; - negate(): Point; - add(other: Point): Point; - subtract(other: Point): Point; - // Constant-time scalar multiplication. - multiply(scalar: bigint | Uint8Array): Point; -} -secp256k1.Signature { - constructor(r: bigint, s: bigint); - // DER encoded ECDSA signature - static fromDER(hex: Uint8Array | string); - // R, S 32-byte each - static fromCompact(hex: Uint8Array | string); +class ProjectivePoint { + constructor(px: bigint, py: bigint, pz: bigint); + static readonly BASE: ProjectivePoint; + static readonly ZERO: ProjectivePoint; + static fromAffine(point: AffinePoint): ProjectivePoint; + static fromHex(hex: Hex): ProjectivePoint; + static fromPrivateKey(n: PrivKey): ProjectivePoint; + get x(): bigint; + get y(): bigint; + add(other: ProjectivePoint): ProjectivePoint; assertValidity(): void; - hasHighS(): boolean; // high-S sigs cannot be produced using { canonical: true } - toDERRawBytes(): Uint8Array; - toDERHex(): string; - toCompactRawBytes(): Uint8Array; + equals(other: ProjectivePoint): boolean; + multiply(n: bigint): ProjectivePoint; + negate(): ProjectivePoint; + subtract(other: ProjectivePoint): ProjectivePoint; + toAffine(): AffinePoint; + toHex(isCompressed?: boolean): string; + toRawBytes(isCompressed?: boolean): Bytes; +} +class Signature { + constructor(r: bigint, s: bigint, recovery?: number | undefined); + static fromCompact(hex: Hex): Signature; + readonly r: bigint; + readonly s: bigint; + readonly recovery?: number | undefined; + ok(): Signature; + hasHighS(): boolean; + normalizeS(): Signature; + recoverPublicKey(msgh: Hex): Point; + toCompactRawBytes(): Bytes; toCompactHex(): string; } +CURVE; // curve prime; order; equation params, generator coordinates ``` ## Security @@ -455,18 +426,16 @@ is to minimize this attack vector. ## Speed -Benchmarks measured with Apple M2 on MacOS 12 with node.js 18.8. +Use [noble-curves](https://github.com/paulmillr/noble-curves) if you need even higher performance. + +Benchmarks measured with Apple M2 on MacOS 13 with node.js 20. - getPublicKey(utils.randomPrivateKey()) x 7,093 ops/sec @ 140μs/op - sign x 5,615 ops/sec @ 178μs/op - signSync (@noble/hashes) x 5,209 ops/sec @ 191μs/op - verify x 1,114 ops/sec @ 896μs/op - recoverPublicKey x 1,018 ops/sec @ 982μs/op - getSharedSecret aka ecdh x 665 ops/sec @ 1ms/op - getSharedSecret (precomputed) x 7,426 ops/sec @ 134μs/op - Point.fromHex (decompression) x 14,582 ops/sec @ 68μs/op - schnorr.sign x 805 ops/sec @ 1ms/op - schnorr.verify x 1,129 ops/sec @ 885μs/op + getPublicKey(utils.randomPrivateKey()) x 6,430 ops/sec @ 155μs/op + sign x 3,367 ops/sec @ 296μs/op + verify x 600 ops/sec @ 1ms/op + getSharedSecret x 505 ops/sec @ 1ms/op + recoverPublicKey x 612 ops/sec @ 1ms/op + Point.fromHex (decompression) x 9,185 ops/sec @ 108μs/op Compare to other libraries on M1 (`openssl` uses native bindings, not JS): @@ -477,13 +446,11 @@ Compare to other libraries on M1 (`openssl` uses native bindings, not JS): sjcl#sign x 199 ops/sec openssl#sign x 4,243 ops/sec ecdsa#sign x 116 ops/sec - bip-schnorr#sign x 60 ops/sec elliptic#verify x 812 ops/sec sjcl#verify x 166 ops/sec openssl#verify x 4,452 ops/sec ecdsa#verify x 80 ops/sec - bip-schnorr#verify x 56 ops/sec elliptic#ecdh x 971 ops/sec diff --git a/SECURITY.md b/SECURITY.md index 09977f8..7b0e03c 100644 --- a/SECURITY.md +++ b/SECURITY.md @@ -1,5 +1,7 @@ # Security Policy +See [README's Security section](./README.md#security) for detailed description of internal security practices. + ## Supported Versions | Version | Supported | diff --git a/index.d.ts b/index.d.ts new file mode 100644 index 0000000..bdf1be8 --- /dev/null +++ b/index.d.ts @@ -0,0 +1,98 @@ +declare const CURVE: { + p: bigint; + n: bigint; + a: bigint; + b: bigint; + Gx: bigint; + Gy: bigint; +}; +type Bytes = Uint8Array; +type Hex = Bytes | string; +type PrivKey = Hex | bigint; +interface AffinePoint { + x: bigint; + y: bigint; +} +declare class Point { + readonly px: bigint; + readonly py: bigint; + readonly pz: bigint; + constructor(px: bigint, py: bigint, pz: bigint); + static readonly BASE: Point; + static readonly ZERO: Point; + static fromAffine(p: AffinePoint): Point; + static fromHex(hex: Hex): Point; + static fromPrivateKey(k: PrivKey): Point; + get x(): bigint; + get y(): bigint; + equals(other: Point): boolean; + negate(): Point; + double(): Point; + add(other: Point): Point; + mul(n: bigint, safe?: boolean): Point; + mulAddQUns(R: Point, u1: bigint, u2: bigint): Point; + toAffine(): AffinePoint; + assertValidity(): Point; + multiply(n: bigint): Point; + aff(): AffinePoint; + ok(): Point; + toHex(isCompressed?: boolean): string; + toRawBytes(isCompressed?: boolean): Uint8Array; +} +declare function getPublicKey(privKey: PrivKey, isCompressed?: boolean): Uint8Array; +type SignatureWithRecovery = Signature & { + recovery: number; +}; +declare class Signature { + readonly r: bigint; + readonly s: bigint; + readonly recovery?: number | undefined; + constructor(r: bigint, s: bigint, recovery?: number | undefined); + static fromCompact(hex: Hex): Signature; + assertValidity(): this; + addRecoveryBit(rec: number): SignatureWithRecovery; + hasHighS(): boolean; + normalizeS(): Signature; + recoverPublicKey(msgh: Hex): Point; + toCompactRawBytes(): Uint8Array; + toCompactHex(): string; +} +type HmacFnSync = undefined | ((key: Bytes, ...msgs: Bytes[]) => Bytes); +declare function signAsync(msgh: Hex, priv: PrivKey, opts?: { + lowS?: boolean | undefined; + extraEntropy?: boolean | Hex | undefined; +}): Promise; +declare function sign(msgh: Hex, priv: PrivKey, opts?: { + lowS?: boolean | undefined; + extraEntropy?: boolean | Hex | undefined; +}): SignatureWithRecovery; +type SigLike = { + r: bigint; + s: bigint; +}; +declare function verify(sig: Hex | SigLike, msgh: Hex, pub: Hex, opts?: { + lowS?: boolean | undefined; +}): boolean; +declare function getSharedSecret(privA: Hex, pubB: Hex, isCompressed?: boolean): Bytes; +declare function hashToPrivateKey(hash: Hex): Bytes; +declare const etc: { + hexToBytes: (hex: string) => Bytes; + bytesToHex: (b: Bytes) => string; + concatBytes: (...arrs: Bytes[]) => Uint8Array; + bytesToNumberBE: (b: Bytes) => bigint; + numberToBytesBE: (num: bigint) => Bytes; + mod: (a: bigint, b?: bigint) => bigint; + invert: (num: bigint, md?: bigint) => bigint; + hmacSha256Async: (key: Bytes, ...msgs: Bytes[]) => Promise; + hmacSha256Sync: HmacFnSync; + hashToPrivateKey: typeof hashToPrivateKey; + randomBytes: (len?: number) => Bytes; +}; +declare const utils: { + normPrivateKeyToScalar: (p: PrivKey) => bigint; + isValidPrivateKey: (key: Hex) => boolean; + randomPrivateKey: () => Bytes; + precompute(w?: number, p?: Point): Point; +}; +export { getPublicKey, sign, signAsync, verify, CURVE, // Remove the export to easily use in REPL +getSharedSecret, etc, utils, Point as ProjectivePoint, Signature }; diff --git a/index.mjs b/index.mjs new file mode 100644 index 0000000..f405b3b --- /dev/null +++ b/index.mjs @@ -0,0 +1,517 @@ +/*! noble-secp256k1 - MIT License (c) 2019 Paul Miller (paulmillr.com) */ +const B256 = 2n ** 256n; // secp256k1 is short weierstrass curve +const P = B256 - 0x1000003d1n; // curve's field prime +const N = B256 - 0x14551231950b75fc4402da1732fc9bebfn; // curve (group) order +const Gx = 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798n; // base point x +const Gy = 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8n; // base point y +const CURVE = { p: P, n: N, a: 0n, b: 7n, Gx, Gy }; // exported variables incl. a, b +const fLen = 32; // field / group byte length +const crv = (x) => mod(mod(x * x) * x + CURVE.b); // x³ + ax + b weierstrass formula; a=0 +const err = (m = '') => { throw new Error(m); }; // error helper, messes-up stack trace +const big = (n) => typeof n === 'bigint'; // is big integer +const str = (s) => typeof s === 'string'; // is string +const fe = (n) => big(n) && 0n < n && n < P; // is field element (invertible) +const ge = (n) => big(n) && 0n < n && n < N; // is group element +const isu8 = (a) => (a instanceof Uint8Array || + (a != null && typeof a === 'object' && a.constructor.name === 'Uint8Array')); +const au8 = (a, l) => // assert is Uint8Array (of specific length) + !isu8(a) || (typeof l === 'number' && l > 0 && a.length !== l) ? + err('Uint8Array expected') : a; +const u8n = (data) => new Uint8Array(data); // creates Uint8Array +const toU8 = (a, len) => au8(str(a) ? h2b(a) : u8n(au8(a)), len); // norm(hex/u8a) to u8a +const mod = (a, b = P) => { let r = a % b; return r >= 0n ? r : b + r; }; // mod division +const isPoint = (p) => (p instanceof Point ? p : err('Point expected')); // is 3d point +class Point { + constructor(px, py, pz) { + this.px = px; + this.py = py; + this.pz = pz; + } //3d=less inversions + static fromAffine(p) { + return ((p.x === 0n) && (p.y === 0n)) ? Point.ZERO : new Point(p.x, p.y, 1n); + } + static fromHex(hex) { + hex = toU8(hex); // convert hex string to Uint8Array + let p = undefined; + const head = hex[0], tail = hex.subarray(1); // first byte is prefix, rest is data + const x = slcNum(tail, 0, fLen), len = hex.length; // next 32 bytes are x coordinate + if (len === 33 && [0x02, 0x03].includes(head)) { // compressed points: 33b, start + if (!fe(x)) + err('Point hex invalid: x not FE'); // with byte 0x02 or 0x03. Check if 0 0n; d = d.double(), n >>= 1n) { // double-and-add ladder + if (n & 1n) + p = p.add(d); // if bit is present, add to point + else if (safe) + f = f.add(d); // if not, add to fake for timing safety + } + return p; + } + mulAddQUns(R, u1, u2) { + return this.mul(u1, false).add(R.mul(u2, false)).ok(); // Unsafe: do NOT use for stuff related + } // to private keys. Doesn't use Shamir trick + toAffine() { + const { px: x, py: y, pz: z } = this; // (x, y, z) ∋ (x=x/z, y=y/z) + if (this.equals(I)) + return { x: 0n, y: 0n }; // fast-path for zero point + if (z === 1n) + return { x, y }; // if z is 1, pass affine coordinates as-is + const iz = inv(z); // z^-1: invert z + if (mod(z * iz) !== 1n) + err('invalid inverse'); // (z * z^-1) must be 1, otherwise bad math + return { x: mod(x * iz), y: mod(y * iz) }; // x = x*z^-1; y = y*z^-1 + } + assertValidity() { + const { x, y } = this.aff(); // convert to 2d xy affine point. + if (!fe(x) || !fe(y)) + err('Point invalid: x or y'); // x and y must be in range 0 < n < P + return mod(y * y) === crv(x) ? // y² = x³ + ax + b, must be equal + this : err('Point invalid: not on curve'); + } + multiply(n) { return this.mul(n); } // Aliases to compress code + aff() { return this.toAffine(); } + ok() { return this.assertValidity(); } + toHex(isCompressed = true) { + const { x, y } = this.aff(); // convert to 2d xy affine point + const head = isCompressed ? ((y & 1n) === 0n ? '02' : '03') : '04'; // 0x02, 0x03, 0x04 prefix + return head + n2h(x) + (isCompressed ? '' : n2h(y)); // prefix||x and ||y + } + toRawBytes(isCompressed = true) { + return h2b(this.toHex(isCompressed)); // re-use toHex(), convert hex to bytes + } +} +Point.BASE = new Point(Gx, Gy, 1n); // Generator / base point +Point.ZERO = new Point(0n, 1n, 0n); // Identity / zero point +const { BASE: G, ZERO: I } = Point; // Generator, identity points +const padh = (n, pad) => n.toString(16).padStart(pad, '0'); +const b2h = (b) => Array.from(b).map(e => padh(e, 2)).join(''); // bytes to hex +const h2b = (hex) => { + const l = hex.length; // error if not string, + if (!str(hex) || l % 2) + err('hex invalid 1'); // or has odd length like 3, 5. + const arr = u8n(l / 2); // create result array + for (let i = 0; i < arr.length; i++) { + const j = i * 2; + const h = hex.slice(j, j + 2); // hexByte. slice is faster than substr + const b = Number.parseInt(h, 16); // byte, created from string part + if (Number.isNaN(b) || b < 0) + err('hex invalid 2'); // byte must be valid 0 <= byte < 256 + arr[i] = b; + } + return arr; +}; +const b2n = (b) => BigInt('0x' + (b2h(b) || '0')); // bytes to number +const slcNum = (b, from, to) => b2n(b.slice(from, to)); // slice bytes num +const n2b = (num) => { + return big(num) && num >= 0n && num < B256 ? h2b(padh(num, 2 * fLen)) : err('bigint expected'); +}; +const n2h = (num) => b2h(n2b(num)); // number to 32b hex +const concatB = (...arrs) => { + const r = u8n(arrs.reduce((sum, a) => sum + au8(a).length, 0)); // create u8a of summed length + let pad = 0; // walk through each array, + arrs.forEach(a => { r.set(a, pad); pad += a.length; }); // ensure they have proper type + return r; +}; +const inv = (num, md = P) => { + if (num === 0n || md <= 0n) + err('no inverse n=' + num + ' mod=' + md); // no neg exponent for now + let a = mod(num, md), b = md, x = 0n, y = 1n, u = 1n, v = 0n; + while (a !== 0n) { // uses euclidean gcd algorithm + const q = b / a, r = b % a; // not constant-time + const m = x - u * q, n = y - v * q; + b = a, a = r, x = u, y = v, u = m, v = n; + } + return b === 1n ? mod(x, md) : err('no inverse'); // b is gcd at this point +}; +const sqrt = (n) => { + let r = 1n; // So, a special, fast case. Paper: "Square Roots from 1;24,51,10 to Dan Shanks". + for (let num = n, e = (P + 1n) / 4n; e > 0n; e >>= 1n) { // powMod: modular exponentiation. + if (e & 1n) + r = (r * num) % P; // Uses exponentiation by squaring. + num = (num * num) % P; // Not constant-time. + } + return mod(r * r) === n ? r : err('sqrt invalid'); // check if result is valid +}; +const toPriv = (p) => { + if (!big(p)) + p = b2n(toU8(p, fLen)); // convert to bigint when bytes + return ge(p) ? p : err('private key out of range'); // check if bigint is in range +}; +const moreThanHalfN = (n) => n > (N >> 1n); // if a number is bigger than CURVE.n/2 +const getPublicKey = (privKey, isCompressed = true) => { + return Point.fromPrivateKey(privKey).toRawBytes(isCompressed); // 33b or 65b output +}; +class Signature { + constructor(r, s, recovery) { + this.r = r; + this.s = s; + this.recovery = recovery; + this.assertValidity(); // recovery bit is optional when + } // constructed outside. + static fromCompact(hex) { + hex = toU8(hex, 64); // compact repr is (32b r)||(32b s) + return new Signature(slcNum(hex, 0, fLen), slcNum(hex, fLen, 2 * fLen)); + } + assertValidity() { return ge(this.r) && ge(this.s) ? this : err(); } // 0 < r or s < CURVE.n + addRecoveryBit(rec) { + return new Signature(this.r, this.s, rec); + } + hasHighS() { return moreThanHalfN(this.s); } + normalizeS() { + return this.hasHighS() ? new Signature(this.r, mod(this.s, N), this.recovery) : this; + } + recoverPublicKey(msgh) { + const { r, s, recovery: rec } = this; // secg.org/sec1-v2.pdf 4.1.6 + if (![0, 1, 2, 3].includes(rec)) + err('recovery id invalid'); // check recovery id + const h = bits2int_modN(toU8(msgh, fLen)); // Truncate hash + const radj = rec === 2 || rec === 3 ? r + N : r; // If rec was 2 or 3, q.x is bigger than n + if (radj >= P) + err('q.x invalid'); // ensure q.x is still a field element + const head = (rec & 1) === 0 ? '02' : '03'; // head is 0x02 or 0x03 + const R = Point.fromHex(head + n2h(radj)); // concat head + hex repr of r + const ir = inv(radj, N); // r^-1 + const u1 = mod(-h * ir, N); // -hr^-1 + const u2 = mod(s * ir, N); // sr^-1 + return G.mulAddQUns(R, u1, u2); // (sr^-1)R-(hr^-1)G = -(hr^-1)G + (sr^-1) + } + toCompactRawBytes() { return h2b(this.toCompactHex()); } // Uint8Array 64b compact repr + toCompactHex() { return n2h(this.r) + n2h(this.s); } // hex 64b compact repr +} +const bits2int = (bytes) => { + const delta = bytes.length * 8 - 256; // RFC suggests optional truncating via bits2octets + const num = b2n(bytes); // FIPS 186-4 4.6 suggests the leftmost min(nBitLen, outLen) bits, which + return delta > 0 ? num >> BigInt(delta) : num; // matches bits2int. bits2int can produce res>N. +}; +const bits2int_modN = (bytes) => { + return mod(bits2int(bytes), N); // with 0: BAD for trunc as per RFC vectors +}; +const i2o = (num) => n2b(num); // int to octets +const cr = () => // We support: 1) browsers 2) node.js 19+ 3) deno, other envs with crypto + typeof globalThis === 'object' && 'crypto' in globalThis ? globalThis.crypto : undefined; +let _hmacSync; // Can be redefined by use in utils; built-ins don't provide it +const optS = { lowS: true }; // opts for sign() +const optV = { lowS: true }; // standard opts for verify() +const prepSig = (msgh, priv, opts = optS) => { + if (['der', 'recovered', 'canonical'].some(k => k in opts)) // Ban legacy options + err('sign() legacy options not supported'); + let { lowS } = opts; // generates low-s sigs by default + if (lowS == null) + lowS = true; // RFC6979 3.2: we skip step A + const h1i = bits2int_modN(toU8(msgh)); // msg bigint + const h1o = i2o(h1i); // msg octets + const d = toPriv(priv); // validate private key, convert to bigint + const seed = [i2o(d), h1o]; // Step D of RFC6979 3.2 + let ent = opts.extraEntropy; // RFC6979 3.6: additional k' (optional) + if (ent) { // K = HMAC_K(V || 0x00 || int2octets(x) || bits2octets(h1) || k') + if (ent === true) + ent = etc.randomBytes(fLen); // if true, use CSPRNG to generate data + const e = toU8(ent); // convert Hex|Bytes to Bytes + if (e.length !== fLen) + err(); // Expected 32 bytes of extra data + seed.push(e); + } + const m = h1i; // convert msg to bigint + const k2sig = (kBytes) => { + const k = bits2int(kBytes); // RFC6979 method. + if (!ge(k)) + return; // Check 0 < k < CURVE.n + const ik = inv(k, N); // k^-1 mod n, NOT mod P + const q = G.mul(k).aff(); // q = Gk + const r = mod(q.x, N); // r = q.x mod n + if (r === 0n) + return; // r=0 invalid + const s = mod(ik * mod(m + mod(d * r, N), N), N); // s = k^-1(m + rd) mod n + if (s === 0n) + return; // s=0 invalid + let normS = s; // normalized S + let rec = (q.x === r ? 0 : 2) | Number(q.y & 1n); // recovery bit + if (lowS && moreThanHalfN(s)) { // if lowS was passed, ensure s is always + normS = mod(-s, N); // in the bottom half of CURVE.n + rec ^= 1; + } + return new Signature(r, normS, rec); // use normS, not s + }; + return { seed: concatB(...seed), k2sig }; +}; +function hmacDrbg(asynchronous) { + let v = u8n(fLen); // Minimal non-full-spec HMAC-DRBG from NIST 800-90 for RFC6979 sigs. + let k = u8n(fLen); // Steps B, C of RFC6979 3.2: set hashLen, in our case always same + let i = 0; // Iterations counter, will throw when over 1000 + const reset = () => { v.fill(1); k.fill(0); i = 0; }; + const _e = 'drbg: tried 1000 values'; + if (asynchronous) { // asynchronous=true + const h = (...b) => etc.hmacSha256Async(k, v, ...b); // hmac(k)(v, ...values) + const reseed = async (seed = u8n()) => { + k = await h(u8n([0x00]), seed); // k = hmac(K || V || 0x00 || seed) + v = await h(); // v = hmac(K || V) + if (seed.length === 0) + return; + k = await h(u8n([0x01]), seed); // k = hmac(K || V || 0x01 || seed) + v = await h(); // v = hmac(K || V) + }; + const gen = async () => { + if (i++ >= 1000) + err(_e); + v = await h(); // v = hmac(K || V) + return v; + }; + return async (seed, pred) => { + reset(); // the returned fn, don't, it's: 1. slower (JIT). 2. unsafe (async race conditions) + await reseed(seed); // Steps D-G + let res = undefined; // Step H: grind until k is in [1..n-1] + while (!(res = pred(await gen()))) + await reseed(); // test predicate until it returns ok + reset(); + return res; + }; + } + else { + const h = (...b) => { + const f = _hmacSync; + if (!f) + err('etc.hmacSha256Sync not set'); + return f(k, v, ...b); // hmac(k)(v, ...values) + }; + const reseed = (seed = u8n()) => { + k = h(u8n([0x00]), seed); // k = hmac(k || v || 0x00 || seed) + v = h(); // v = hmac(k || v) + if (seed.length === 0) + return; + k = h(u8n([0x01]), seed); // k = hmac(k || v || 0x01 || seed) + v = h(); // v = hmac(k || v) + }; + const gen = () => { + if (i++ >= 1000) + err(_e); + v = h(); // v = hmac(k || v) + return v; + }; + return (seed, pred) => { + reset(); + reseed(seed); // Steps D-G + let res = undefined; // Step H: grind until k is in [1..n-1] + while (!(res = pred(gen()))) + reseed(); // test predicate until it returns ok + reset(); + return res; + }; + } +} +// ECDSA signature generation. via secg.org/sec1-v2.pdf 4.1.2 + RFC6979 deterministic k +const signAsync = async (msgh, priv, opts = optS) => { + const { seed, k2sig } = prepSig(msgh, priv, opts); // Extract arguments for hmac-drbg + return hmacDrbg(true)(seed, k2sig); // Re-run drbg until k2sig returns ok +}; +const sign = (msgh, priv, opts = optS) => { + const { seed, k2sig } = prepSig(msgh, priv, opts); // Extract arguments for hmac-drbg + return hmacDrbg(false)(seed, k2sig); // Re-run drbg until k2sig returns ok +}; +const verify = (sig, msgh, pub, opts = optV) => { + let { lowS } = opts; // ECDSA signature verification + if (lowS == null) + lowS = true; // Default lowS=true + if ('strict' in opts) + err('verify() legacy options not supported'); // legacy param + let sig_, h, P; // secg.org/sec1-v2.pdf 4.1.4 + const rs = sig && typeof sig === 'object' && 'r' in sig; // Previous ver supported DER sigs. We + if (!rs && (toU8(sig).length !== 2 * fLen)) // throw error when DER is suspected now. + err('signature must be 64 bytes'); + try { + sig_ = rs ? new Signature(sig.r, sig.s).assertValidity() : Signature.fromCompact(sig); + h = bits2int_modN(toU8(msgh)); // Truncate hash + P = pub instanceof Point ? pub.ok() : Point.fromHex(pub); // Validate public key + } + catch (e) { + return false; + } // Check sig for validity in both cases + if (!sig_) + return false; + const { r, s } = sig_; + if (lowS && moreThanHalfN(s)) + return false; // lowS bans sig.s >= CURVE.n/2 + let R; + try { + const is = inv(s, N); // s^-1 + const u1 = mod(h * is, N); // u1 = hs^-1 mod n + const u2 = mod(r * is, N); // u2 = rs^-1 mod n + R = G.mulAddQUns(P, u1, u2).aff(); // R = u1⋅G + u2⋅P + } + catch (error) { + return false; + } + if (!R) + return false; // stop if R is identity / zero point + const v = mod(R.x, N); // R.x must be in N's field, not P's + return v === r; // mod(R.x, n) == r +}; +const getSharedSecret = (privA, pubB, isCompressed = true) => { + return Point.fromHex(pubB).mul(toPriv(privA)).toRawBytes(isCompressed); // ECDH +}; +const hashToPrivateKey = (hash) => { + hash = toU8(hash); // produces private keys with modulo bias + const minLen = fLen + 8; // being neglible. + if (hash.length < minLen || hash.length > 1024) + err('expected proper params'); + const num = mod(b2n(hash), N - 1n) + 1n; // takes at least n+8 bytes + return n2b(num); +}; +const etc = { + hexToBytes: h2b, bytesToHex: b2h, // share API with noble-curves. + concatBytes: concatB, bytesToNumberBE: b2n, numberToBytesBE: n2b, + mod, invert: inv, // math utilities + hmacSha256Async: async (key, ...msgs) => { + const c = cr(); // async HMAC-SHA256, no sync built-in! + const s = c && c.subtle; // For React Native support, see README. + if (!s) + return err('etc.hmacSha256Async not set'); // Uses webcrypto built-in cryptography. + const k = await s.importKey('raw', key, { name: 'HMAC', hash: { name: 'SHA-256' } }, false, ['sign']); + return u8n(await s.sign('HMAC', k, concatB(...msgs))); + }, + hmacSha256Sync: _hmacSync, // For TypeScript. Actual logic is below + hashToPrivateKey, + randomBytes: (len = 32) => { + const crypto = cr(); // Must be shimmed in node.js <= 18 to prevent error. See README. + if (!crypto || !crypto.getRandomValues) + err('crypto.getRandomValues must be defined'); + return crypto.getRandomValues(u8n(len)); + }, +}; +const utils = { + normPrivateKeyToScalar: toPriv, + isValidPrivateKey: (key) => { try { + return !!toPriv(key); + } + catch (e) { + return false; + } }, + randomPrivateKey: () => hashToPrivateKey(etc.randomBytes(fLen + 16)), // FIPS 186 B.4.1. + precompute(w = 8, p = G) { p.multiply(3n); w; return p; }, // no-op +}; +Object.defineProperties(etc, { hmacSha256Sync: { + configurable: false, get() { return _hmacSync; }, set(f) { if (!_hmacSync) + _hmacSync = f; }, + } }); +const W = 8; // Precomputes-related code. W = window size +const precompute = () => { + const points = []; // 10x sign(), 2x verify(). To achieve this, + const windows = 256 / W + 1; // app needs to spend 40ms+ to calculate + let p = G, b = p; // a lot of points related to base point G. + for (let w = 0; w < windows; w++) { // Points are stored in array and used + b = p; // any time Gx multiplication is done. + points.push(b); // They consume 16-32 MiB of RAM. + for (let i = 1; i < 2 ** (W - 1); i++) { + b = b.add(p); + points.push(b); + } + p = b.double(); // Precomputes don't speed-up getSharedKey, + } // which multiplies user point by scalar, + return points; // when precomputes are using base point +}; +let Gpows = undefined; // precomputes for base point G +const wNAF = (n) => { + // Compared to other point mult methods, + const comp = Gpows || (Gpows = precompute()); // stores 2x less points using subtraction + const neg = (cnd, p) => { let n = p.negate(); return cnd ? n : p; }; // negate + let p = I, f = G; // f must be G, or could become I in the end + const windows = 1 + 256 / W; // W=8 17 windows + const wsize = 2 ** (W - 1); // W=8 128 window size + const mask = BigInt(2 ** W - 1); // W=8 will create mask 0b11111111 + const maxNum = 2 ** W; // W=8 256 + const shiftBy = BigInt(W); // W=8 8 + for (let w = 0; w < windows; w++) { + const off = w * wsize; + let wbits = Number(n & mask); // extract W bits. + n >>= shiftBy; // shift number by W bits. + if (wbits > wsize) { + wbits -= maxNum; + n += 1n; + } // split if bits > max: +224 => 256-32 + const off1 = off, off2 = off + Math.abs(wbits) - 1; // offsets, evaluate both + const cnd1 = w % 2 !== 0, cnd2 = wbits < 0; // conditions, evaluate both + if (wbits === 0) { + f = f.add(neg(cnd1, comp[off1])); // bits are 0: add garbage to fake point + } + else { // ^ can't add off2, off2 = I + p = p.add(neg(cnd2, comp[off2])); // bits are 1: add to result point + } + } + return { p, f }; // return both real and fake points for JIT +}; // !! you can disable precomputes by commenting-out call of the wNAF() inside Point#mul() +export { getPublicKey, sign, signAsync, verify, CURVE, // Remove the export to easily use in REPL +getSharedSecret, etc, utils, Point as ProjectivePoint, Signature }; // envs like browser console diff --git a/index.ts b/index.ts index a33c1f1..b2d6cd3 100644 --- a/index.ts +++ b/index.ts @@ -1,1646 +1,441 @@ /*! noble-secp256k1 - MIT License (c) 2019 Paul Miller (paulmillr.com) */ -// https://www.secg.org/sec2-v2.pdf - -// Uses built-in crypto module from node.js to generate randomness / hmac-sha256. -// In browser the line is automatically removed during build time: uses crypto.subtle instead. -import * as nodeCrypto from 'crypto'; - -// Be friendly to bad ECMAScript parsers by not using bigint literals like 123n -const _0n = BigInt(0); -const _1n = BigInt(1); -const _2n = BigInt(2); -const _3n = BigInt(3); -const _8n = BigInt(8); - -// Curve fomula is y² = x³ + ax + b -const CURVE = Object.freeze({ - // Params: a, b - a: _0n, - b: BigInt(7), - // Field over which we'll do calculations. Verify with: - // console.log(CURVE.P === (2n**256n - 2n**32n - 2n**9n - 2n**8n-2n**7n-2n**6n-2n**4n - 1n)) - P: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f'), - // Curve order, total count of valid points in the field. Verify with: - // console.log(CURVE.n === (2n**256n - 432420386565659656852420866394968145599n)) - n: BigInt('0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'), - // Cofactor. It's 1, so other subgroups don't exist, and default subgroup is prime-order - h: _1n, - // Base point (x, y) aka generator point - Gx: BigInt('55066263022277343669578718895168534326250603453777594175500187360389116729240'), - Gy: BigInt('32670510020758816978083085130507043184471273380659243275938904335757337482424'), - // For endomorphism, see below - beta: BigInt('0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee'), -}); - -// Cleaner js output if that's on a separate line. -export { CURVE }; - -/** - * y² = x³ + ax + b: Short weierstrass curve formula - * @returns y² - */ -function weierstrass(x: bigint): bigint { - const { a, b } = CURVE; - const x2 = mod(x * x); - const x3 = mod(x2 * x); - return mod(x3 + a * x + b); -} - -// We accept hex strings besides Uint8Array for simplicity -type Hex = Uint8Array | string; -// Very few implementations accept numbers, we do it to ease learning curve -type PrivKey = Hex | bigint | number; -// 33/65-byte ECDSA key, or 32-byte Schnorr key - not interchangeable -type PubKey = Hex | Point; -// ECDSA signature -type Sig = Hex | Signature; - -/** - * Always true for secp256k1. - * We're including it here if you'll want to reuse code to support - * different curve (e.g. secp256r1) - just set it to false then. - * Endomorphism only works for Koblitz curves with a == 0. - * It improves efficiency: - * Uses 2x less RAM, speeds up precomputation by 2x and ECDH / sign key recovery by 20%. - * Should always be used for Jacobian's double-and-add multiplication. - * For affines cached multiplication, it trades off 1/2 init time & 1/3 ram for 20% perf hit. - * https://gist.github.com/paulmillr/eb670806793e84df628a7c434a873066 - */ -const USE_ENDOMORPHISM = CURVE.a === _0n; - -class ShaError extends Error { - constructor(message: string) { - super(message); - } -} - -/** - * Jacobian Point works in 3d / jacobi coordinates: (x, y, z) ∋ (x=x/z², y=y/z³) - * Default Point works in 2d / affine coordinates: (x, y) - * We're doing calculations in jacobi, because its operations don't require costly inversion. - */ -class JacobianPoint { - constructor(readonly x: bigint, readonly y: bigint, readonly z: bigint) {} - - static readonly BASE = new JacobianPoint(CURVE.Gx, CURVE.Gy, _1n); - static readonly ZERO = new JacobianPoint(_0n, _1n, _0n); - static fromAffine(p: Point): JacobianPoint { - if (!(p instanceof Point)) { - throw new TypeError('JacobianPoint#fromAffine: expected Point'); - } - // fromAffine(x:0, y:0) would produce (x:0, y:0, z:1), but we need (x:0, y:1, z:0) - if (p.equals(Point.ZERO)) return JacobianPoint.ZERO; - return new JacobianPoint(p.x, p.y, _1n); - } - - /** - * Takes a bunch of Jacobian Points but executes only one - * invert on all of them. invert is very slow operation, - * so this improves performance massively. - */ - static toAffineBatch(points: JacobianPoint[]): Point[] { - const toInv = invertBatch(points.map((p) => p.z)); - return points.map((p, i) => p.toAffine(toInv[i])); - } - - static normalizeZ(points: JacobianPoint[]): JacobianPoint[] { - return JacobianPoint.toAffineBatch(points).map(JacobianPoint.fromAffine); - } - - /** - * Compare one point to another. - */ - equals(other: JacobianPoint): boolean { - if (!(other instanceof JacobianPoint)) throw new TypeError('JacobianPoint expected'); - const { x: X1, y: Y1, z: Z1 } = this; - const { x: X2, y: Y2, z: Z2 } = other; - const Z1Z1 = mod(Z1 * Z1); - const Z2Z2 = mod(Z2 * Z2); - const U1 = mod(X1 * Z2Z2); - const U2 = mod(X2 * Z1Z1); - const S1 = mod(mod(Y1 * Z2) * Z2Z2); - const S2 = mod(mod(Y2 * Z1) * Z1Z1); - return U1 === U2 && S1 === S2; - } - - /** - * Flips point to one corresponding to (x, -y) in Affine coordinates. - */ - negate(): JacobianPoint { - return new JacobianPoint(this.x, mod(-this.y), this.z); - } - - // Fast algo for doubling 2 Jacobian Points when curve's a=0. - // Note: cannot be reused for other curves when a != 0. - // From: http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l - // Cost: 2M + 5S + 6add + 3*2 + 1*3 + 1*8. - double(): JacobianPoint { - const { x: X1, y: Y1, z: Z1 } = this; - const A = mod(X1 * X1); - const B = mod(Y1 * Y1); - const C = mod(B * B); - const x1b = X1 + B; - const D = mod(_2n * (mod(x1b * x1b) - A - C)); - const E = mod(_3n * A); - const F = mod(E * E); - const X3 = mod(F - _2n * D); - const Y3 = mod(E * (D - X3) - _8n * C); - const Z3 = mod(_2n * Y1 * Z1); - return new JacobianPoint(X3, Y3, Z3); - } - - // Fast algo for adding 2 Jacobian Points when curve's a=0. - // Note: cannot be reused for other curves when a != 0. - // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-1998-cmo-2 - // Cost: 12M + 4S + 6add + 1*2. - // Note: 2007 Bernstein-Lange (11M + 5S + 9add + 4*2) is actually 10% slower. - add(other: JacobianPoint): JacobianPoint { - if (!(other instanceof JacobianPoint)) throw new TypeError('JacobianPoint expected'); - const { x: X1, y: Y1, z: Z1 } = this; - const { x: X2, y: Y2, z: Z2 } = other; - if (X2 === _0n || Y2 === _0n) return this; - if (X1 === _0n || Y1 === _0n) return other; - // We're using same code in equals() - const Z1Z1 = mod(Z1 * Z1); - const Z2Z2 = mod(Z2 * Z2); - const U1 = mod(X1 * Z2Z2); - const U2 = mod(X2 * Z1Z1); - const S1 = mod(mod(Y1 * Z2) * Z2Z2); - const S2 = mod(mod(Y2 * Z1) * Z1Z1); - const H = mod(U2 - U1); - const r = mod(S2 - S1); - // H = 0 meaning it's the same point. - if (H === _0n) { - if (r === _0n) { - return this.double(); - } else { - return JacobianPoint.ZERO; - } - } - const HH = mod(H * H); - const HHH = mod(H * HH); - const V = mod(U1 * HH); - const X3 = mod(r * r - HHH - _2n * V); - const Y3 = mod(r * (V - X3) - S1 * HHH); - const Z3 = mod(Z1 * Z2 * H); - return new JacobianPoint(X3, Y3, Z3); - } - - subtract(other: JacobianPoint) { - return this.add(other.negate()); - } - - /** - * Non-constant-time multiplication. Uses double-and-add algorithm. - * It's faster, but should only be used when you don't care about - * an exposed private key e.g. sig verification, which works over *public* keys. - */ - multiplyUnsafe(scalar: bigint): JacobianPoint { - const P0 = JacobianPoint.ZERO; - if (typeof scalar === 'bigint' && scalar === _0n) return P0; - // Will throw on 0 - let n = normalizeScalar(scalar); - if (n === _1n) return this; - - // The condition is not executed unless you change global var - if (!USE_ENDOMORPHISM) { - let p = P0; - let d: JacobianPoint = this; - while (n > _0n) { - if (n & _1n) p = p.add(d); - d = d.double(); - n >>= _1n; - } - return p; - } - let { k1neg, k1, k2neg, k2 } = splitScalarEndo(n); - let k1p = P0; - let k2p = P0; - let d: JacobianPoint = this; - while (k1 > _0n || k2 > _0n) { - if (k1 & _1n) k1p = k1p.add(d); - if (k2 & _1n) k2p = k2p.add(d); - d = d.double(); - k1 >>= _1n; - k2 >>= _1n; - } - if (k1neg) k1p = k1p.negate(); - if (k2neg) k2p = k2p.negate(); - k2p = new JacobianPoint(mod(k2p.x * CURVE.beta), k2p.y, k2p.z); - return k1p.add(k2p); - } - - /** - * Creates a wNAF precomputation window. Used for caching. - * Default window size is set by `utils.precompute()` and is equal to 8. - * Which means we are caching 65536 points: 256 points for every bit from 0 to 256. - * @returns 65K precomputed points, depending on W - */ - private precomputeWindow(W: number): JacobianPoint[] { - // splitScalarEndo could return 129-bit numbers, so we need at least 128 / W + 1 - const windows = USE_ENDOMORPHISM ? 128 / W + 1 : 256 / W + 1; - const points: JacobianPoint[] = []; - let p: JacobianPoint = this; - let base = p; - for (let window = 0; window < windows; window++) { - base = p; - points.push(base); - for (let i = 1; i < 2 ** (W - 1); i++) { - base = base.add(p); - points.push(base); - } - p = base.double(); - } - return points; - } - - /** - * Implements w-ary non-adjacent form for calculating ec multiplication. - * @param n - * @param affinePoint optional 2d point to save cached precompute windows on it. - * @returns real and fake (for const-time) points - */ - private wNAF(n: bigint, affinePoint?: Point): { p: JacobianPoint; f: JacobianPoint } { - if (!affinePoint && this.equals(JacobianPoint.BASE)) affinePoint = Point.BASE; - const W = (affinePoint && affinePoint._WINDOW_SIZE) || 1; - if (256 % W) { - throw new Error('Point#wNAF: Invalid precomputation window, must be power of 2'); - } - - // Calculate precomputes on a first run, reuse them after - let precomputes = affinePoint && pointPrecomputes.get(affinePoint); - if (!precomputes) { - precomputes = this.precomputeWindow(W); - if (affinePoint && W !== 1) { - precomputes = JacobianPoint.normalizeZ(precomputes); - pointPrecomputes.set(affinePoint, precomputes); - } - } - - // Initialize real and fake points for const-time - let p = JacobianPoint.ZERO; - // Should be G (base) point, since otherwise f can be infinity point in the end - let f = JacobianPoint.BASE; - - const windows = 1 + (USE_ENDOMORPHISM ? 128 / W : 256 / W); // W=8 17 - const windowSize = 2 ** (W - 1); // W=8 128 - const mask = BigInt(2 ** W - 1); // Create mask with W ones: 0b11111111 for W=8 - const maxNumber = 2 ** W; // W=8 256 - const shiftBy = BigInt(W); // W=8 8 - - for (let window = 0; window < windows; window++) { - const offset = window * windowSize; - // Extract W bits. - let wbits = Number(n & mask); - - // Shift number by W bits. - n >>= shiftBy; - - // If the bits are bigger than max size, we'll split those. - // +224 => 256 - 32 - if (wbits > windowSize) { - wbits -= maxNumber; - n += _1n; - } - - // This code was first written with assumption that 'f' and 'p' will never be infinity point: - // since each addition is multiplied by 2 ** W, it cannot cancel each other. However, - // there is negate now: it is possible that negated element from low value - // would be the same as high element, which will create carry into next window. - // It's not obvious how this can fail, but still worth investigating later. - - // Check if we're onto Zero point. - // Add random point inside current window to f. - const offset1 = offset; - const offset2 = offset + Math.abs(wbits) - 1; - const cond1 = window % 2 !== 0; - const cond2 = wbits < 0; - if (wbits === 0) { - // The most important part for const-time getPublicKey - f = f.add(constTimeNegate(cond1, precomputes[offset1])); - } else { - p = p.add(constTimeNegate(cond2, precomputes[offset2])); - } - } - // JIT-compiler should not eliminate f here, since it will later be used in normalizeZ() - return { p, f }; - } - - /** - * Constant time multiplication. - * Uses wNAF method. Windowed method may be 10% faster, - * but takes 2x longer to generate and consumes 2x memory. - * @param scalar by which the point would be multiplied - * @param affinePoint optional point ot save cached precompute windows on it - * @returns New point - */ - multiply(scalar: number | bigint, affinePoint?: Point): JacobianPoint { - let n = normalizeScalar(scalar); - // Real point. - let point: JacobianPoint; - // Fake point, we use it to achieve constant-time multiplication. - let fake: JacobianPoint; - if (USE_ENDOMORPHISM) { - const { k1neg, k1, k2neg, k2 } = splitScalarEndo(n); - let { p: k1p, f: f1p } = this.wNAF(k1, affinePoint); - let { p: k2p, f: f2p } = this.wNAF(k2, affinePoint); - k1p = constTimeNegate(k1neg, k1p); - k2p = constTimeNegate(k2neg, k2p); - k2p = new JacobianPoint(mod(k2p.x * CURVE.beta), k2p.y, k2p.z); - point = k1p.add(k2p); - fake = f1p.add(f2p); - } else { - const { p, f } = this.wNAF(n, affinePoint); - point = p; - fake = f; - } - // Normalize `z` for both points, but return only real one - return JacobianPoint.normalizeZ([point, fake])[0]; - } - - // Converts Jacobian point to affine (x, y) coordinates. - // Can accept precomputed Z^-1 - for example, from invertBatch. - // (x, y, z) ∋ (x=x/z², y=y/z³) - toAffine(invZ?: bigint): Point { - const { x, y, z } = this; - const is0 = this.equals(JacobianPoint.ZERO); - if (invZ == null) invZ = is0 ? _8n : invert(z); // 8 was chosen arbitrarily - const iz1 = invZ; - const iz2 = mod(iz1 * iz1); - const iz3 = mod(iz2 * iz1); - const ax = mod(x * iz2); - const ay = mod(y * iz3); - const zz = mod(z * iz1); - if (is0) return Point.ZERO; - if (zz !== _1n) throw new Error('invZ was invalid'); - return new Point(ax, ay); - } -} - -// Const-time utility for wNAF -function constTimeNegate(condition: boolean, item: JacobianPoint) { - const neg = item.negate(); - return condition ? neg : item; -} - -// Stores precomputed values for points. -const pointPrecomputes = new WeakMap(); - -/** - * Default Point works in default aka affine coordinates: (x, y) - */ -export class Point { - /** - * Base point aka generator. public_key = Point.BASE * private_key - */ - static BASE: Point = new Point(CURVE.Gx, CURVE.Gy); - /** - * Identity point aka point at infinity. point = point + zero_point - */ - static ZERO: Point = new Point(_0n, _0n); - // We calculate precomputes for elliptic curve point multiplication - // using windowed method. This specifies window size and - // stores precomputed values. Usually only base point would be precomputed. - _WINDOW_SIZE?: number; - - constructor(readonly x: bigint, readonly y: bigint) {} - - // "Private method", don't use it directly - _setWindowSize(windowSize: number) { - this._WINDOW_SIZE = windowSize; - pointPrecomputes.delete(this); - } - - // Checks for y % 2 == 0 - hasEvenY() { - return this.y % _2n === _0n; - } - - /** - * Supports compressed Schnorr (32-byte) and ECDSA (33-byte) points - * @param bytes 32/33 bytes - * @returns Point instance - */ - private static fromCompressedHex(bytes: Uint8Array) { - const isShort = bytes.length === 32; - const x = bytesToNumber(isShort ? bytes : bytes.subarray(1)); - if (!isValidFieldElement(x)) throw new Error('Point is not on curve'); - const y2 = weierstrass(x); // y² = x³ + ax + b - let y = sqrtMod(y2); // y = y² ^ (p+1)/4 - const isYOdd = (y & _1n) === _1n; - if (isShort) { - // Schnorr - if (isYOdd) y = mod(-y); - } else { - // ECDSA - const isFirstByteOdd = (bytes[0] & 1) === 1; - if (isFirstByteOdd !== isYOdd) y = mod(-y); - } - const point = new Point(x, y); - point.assertValidity(); - return point; - } - - // Schnorr doesn't support uncompressed points, so this is only for ECDSA - private static fromUncompressedHex(bytes: Uint8Array) { - const x = bytesToNumber(bytes.subarray(1, 33)); - const y = bytesToNumber(bytes.subarray(33, 65)); - const point = new Point(x, y); - point.assertValidity(); - return point; - } - - /** - * Converts hash string or Uint8Array to Point. - * @param hex 32-byte (schnorr) or 33/65-byte (ECDSA) hex - */ - static fromHex(hex: Hex): Point { - const bytes = ensureBytes(hex); - const len = bytes.length; - const header = bytes[0]; - // this.assertValidity() is done inside of those two functions - if (len === 32 || (len === 33 && (header === 0x02 || header === 0x03))) { - return this.fromCompressedHex(bytes); - } - if (len === 65 && header === 0x04) return this.fromUncompressedHex(bytes); - throw new Error( - `Point.fromHex: received invalid point. Expected 32-33 compressed bytes or 65 uncompressed bytes, not ${len}` - ); - } - - // Multiplies generator point by privateKey. - static fromPrivateKey(privateKey: PrivKey) { - return Point.BASE.multiply(normalizePrivateKey(privateKey)); - } - - /** - * Recovers public key from ECDSA signature. - * https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Algorithm#Public_key_recovery - * ``` - * recover(r, s, h) where - * u1 = hs^-1 mod n - * u2 = sr^-1 mod n - * Q = u1⋅G + u2⋅R - * ``` - */ - static fromSignature(msgHash: Hex, signature: Sig, recovery: number): Point { - msgHash = ensureBytes(msgHash); - const h = truncateHash(msgHash); - const { r, s } = normalizeSignature(signature); - if (recovery !== 0 && recovery !== 1) { - throw new Error('Cannot recover signature: invalid recovery bit'); - } - const prefix = recovery & 1 ? '03' : '02'; - const R = Point.fromHex(prefix + numTo32bStr(r)); - const { n } = CURVE; - const rinv = invert(r, n); - // Q = u1⋅G + u2⋅R - const u1 = mod(-h * rinv, n); - const u2 = mod(s * rinv, n); - const Q = Point.BASE.multiplyAndAddUnsafe(R, u1, u2); - if (!Q) throw new Error('Cannot recover signature: point at infinify'); - Q.assertValidity(); - return Q; - } - - toRawBytes(isCompressed = false): Uint8Array { - return hexToBytes(this.toHex(isCompressed)); - } - - toHex(isCompressed = false): string { - const x = numTo32bStr(this.x); - if (isCompressed) { - const prefix = this.hasEvenY() ? '02' : '03'; - return `${prefix}${x}`; - } else { - return `04${x}${numTo32bStr(this.y)}`; +const B256 = 2n ** 256n; // secp256k1 is short weierstrass curve +const P = B256 - 0x1000003d1n; // curve's field prime +const N = B256 - 0x14551231950b75fc4402da1732fc9bebfn; // curve (group) order +const Gx = 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798n; // base point x +const Gy = 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8n; // base point y +const CURVE = {p: P, n: N, a: 0n, b: 7n, Gx, Gy}; // exported variables incl. a, b +const fLen = 32; // field / group byte length +type Bytes = Uint8Array; type Hex = Bytes | string; type PrivKey = Hex | bigint; +const crv = (x: bigint) => mod(mod(x * x) * x + CURVE.b); // x³ + ax + b weierstrass formula; a=0 +const err = (m = ''): never => { throw new Error(m); }; // error helper, messes-up stack trace +const big = (n: unknown): n is bigint => typeof n === 'bigint'; // is big integer +const str = (s: unknown): s is string => typeof s === 'string'; // is string +const fe = (n: bigint) => big(n) && 0n < n && n < P; // is field element (invertible) +const ge = (n: bigint) => big(n) && 0n < n && n < N; // is group element +const isu8 = (a: unknown): a is Uint8Array => ( + a instanceof Uint8Array || + (a != null && typeof a === 'object' && a.constructor.name === 'Uint8Array') +); +const au8 = (a: unknown, l?: number): Bytes => // assert is Uint8Array (of specific length) + !isu8(a) || (typeof l === 'number' && l > 0 && a.length !== l) ? + err('Uint8Array expected') : a; +const u8n = (data?: any) => new Uint8Array(data); // creates Uint8Array +const toU8 = (a: Hex, len?: number) => au8(str(a) ? h2b(a) : u8n(au8(a)), len); // norm(hex/u8a) to u8a +const mod = (a: bigint, b = P) => { let r = a % b; return r >= 0n ? r : b + r; }; // mod division +const isPoint = (p: unknown) => (p instanceof Point ? p : err('Point expected')); // is 3d point +interface AffinePoint { x: bigint, y: bigint } // Point in 2d xy affine coordinates +class Point { // Point in 3d xyz projective coordinates + constructor(readonly px: bigint, readonly py: bigint, readonly pz: bigint) {} //3d=less inversions + static readonly BASE = new Point(Gx, Gy, 1n); // Generator / base point + static readonly ZERO = new Point(0n, 1n, 0n); // Identity / zero point + static fromAffine (p: AffinePoint) { // (0, 0) => (0, 1, 0), not (0, 0, 1) + return ((p.x === 0n) && (p.y === 0n)) ? Point.ZERO : new Point(p.x, p.y, 1n); + } + static fromHex(hex: Hex): Point { // Convert Uint8Array or hex string to Point + hex = toU8(hex); // convert hex string to Uint8Array + let p: Point | undefined = undefined; + const head = hex[0], tail = hex.subarray(1); // first byte is prefix, rest is data + const x = slcNum(tail, 0, fLen), len = hex.length; // next 32 bytes are x coordinate + if (len === 33 && [0x02, 0x03].includes(head)) { // compressed points: 33b, start + if (!fe(x)) err('Point hex invalid: x not FE'); // with byte 0x02 or 0x03. Check if 0 0n; d = d.double(), n >>= 1n) { // double-and-add ladder + if (n & 1n) p = p.add(d); // if bit is present, add to point + else if (safe) f = f.add(d); // if not, add to fake for timing safety } - } - - // Schnorr-related function - toHexX() { - return this.toHex(true).slice(2); - } - - toRawX() { - return this.toRawBytes(true).slice(1); - } - - // A point on curve is valid if it conforms to equation. - assertValidity(): void { - const msg = 'Point is not on elliptic curve'; - const { x, y } = this; - if (!isValidFieldElement(x) || !isValidFieldElement(y)) throw new Error(msg); - const left = mod(y * y); - const right = weierstrass(x); - if (mod(left - right) !== _0n) throw new Error(msg); - } - - equals(other: Point): boolean { - return this.x === other.x && this.y === other.y; - } - - // Returns the same point with inverted `y` - negate() { - return new Point(this.x, mod(-this.y)); - } - - // Adds point to itself - double() { - return JacobianPoint.fromAffine(this).double().toAffine(); - } - - // Adds point to other point - add(other: Point) { - return JacobianPoint.fromAffine(this).add(JacobianPoint.fromAffine(other)).toAffine(); - } - - // Subtracts other point from the point - subtract(other: Point) { - return this.add(other.negate()); - } - - multiply(scalar: number | bigint) { - return JacobianPoint.fromAffine(this).multiply(scalar, this).toAffine(); - } - - /** - * Efficiently calculate `aP + bQ`. - * Unsafe, can expose private key, if used incorrectly. - * TODO: Utilize Shamir's trick - * @returns non-zero affine point - */ - multiplyAndAddUnsafe(Q: Point, a: bigint, b: bigint): Point | undefined { - const P = JacobianPoint.fromAffine(this); - const aP = a === _0n || a === _1n || this !== Point.BASE ? P.multiplyUnsafe(a) : P.multiply(a); - const bQ = JacobianPoint.fromAffine(Q).multiplyUnsafe(b); - const sum = aP.add(bQ); - return sum.equals(JacobianPoint.ZERO) ? undefined : sum.toAffine(); - } -} - -function sliceDER(s: string): string { - // Proof: any([(i>=0x80) == (int(hex(i).replace('0x', '').zfill(2)[0], 16)>=8) for i in range(0, 256)]) - // Padding done by numberToHex - return Number.parseInt(s[0], 16) >= 8 ? '00' + s : s; -} - -function parseDERInt(data: Uint8Array) { - if (data.length < 2 || data[0] !== 0x02) { - throw new Error(`Invalid signature integer tag: ${bytesToHex(data)}`); - } - const len = data[1]; - const res = data.subarray(2, len + 2); - if (!len || res.length !== len) { - throw new Error(`Invalid signature integer: wrong length`); - } - // Strange condition, its not about length, but about first bytes of number. - if (res[0] === 0x00 && res[1] <= 0x7f) { - throw new Error('Invalid signature integer: trailing length'); - } - return { data: bytesToNumber(res), left: data.subarray(len + 2) }; -} - -function parseDERSignature(data: Uint8Array) { - if (data.length < 2 || data[0] != 0x30) { - throw new Error(`Invalid signature tag: ${bytesToHex(data)}`); - } - if (data[1] !== data.length - 2) { - throw new Error('Invalid signature: incorrect length'); - } - const { data: r, left: sBytes } = parseDERInt(data.subarray(2)); - const { data: s, left: rBytesLeft } = parseDERInt(sBytes); - if (rBytesLeft.length) { - throw new Error(`Invalid signature: left bytes after parsing: ${bytesToHex(rBytesLeft)}`); - } - return { r, s }; -} - -// Represents ECDSA signature with its (r, s) properties -export class Signature { - constructor(readonly r: bigint, readonly s: bigint) { - this.assertValidity(); - } - - // pair (32 bytes of r, 32 bytes of s) - static fromCompact(hex: Hex) { - const arr = hex instanceof Uint8Array; - const name = 'Signature.fromCompact'; - if (typeof hex !== 'string' && !arr) - throw new TypeError(`${name}: Expected string or Uint8Array`); - const str = arr ? bytesToHex(hex) : hex; - if (str.length !== 128) throw new Error(`${name}: Expected 64-byte hex`); - return new Signature(hexToNumber(str.slice(0, 64)), hexToNumber(str.slice(64, 128))); - } - - // DER encoded ECDSA signature - // https://bitcoin.stackexchange.com/questions/57644/what-are-the-parts-of-a-bitcoin-transaction-input-script - static fromDER(hex: Hex) { - const arr = hex instanceof Uint8Array; - if (typeof hex !== 'string' && !arr) - throw new TypeError(`Signature.fromDER: Expected string or Uint8Array`); - const { r, s } = parseDERSignature(arr ? hex : hexToBytes(hex)); - return new Signature(r, s); - } - - // Don't use this method - static fromHex(hex: Hex) { - return this.fromDER(hex); - } - - assertValidity(): void { - const { r, s } = this; - if (!isWithinCurveOrder(r)) throw new Error('Invalid Signature: r must be 0 < r < n'); - if (!isWithinCurveOrder(s)) throw new Error('Invalid Signature: s must be 0 < s < n'); - } - - // Default signatures are always low-s, to prevent malleability. - // sign(canonical: true) always produces low-s sigs. - // verify(strict: true) always fails for high-s. - // We don't provide `hasHighR` https://github.com/bitcoin/bitcoin/pull/13666 - hasHighS(): boolean { - const HALF = CURVE.n >> _1n; - return this.s > HALF; - } - - normalizeS(): Signature { - return this.hasHighS() ? new Signature(this.r, CURVE.n - this.s) : this; - } - - // DER-encoded - toDERRawBytes(isCompressed = false) { - return hexToBytes(this.toDERHex(isCompressed)); - } - toDERHex(isCompressed = false) { - const sHex = sliceDER(numberToHexUnpadded(this.s)); - if (isCompressed) return sHex; - const rHex = sliceDER(numberToHexUnpadded(this.r)); - const rLen = numberToHexUnpadded(rHex.length / 2); - const sLen = numberToHexUnpadded(sHex.length / 2); - const length = numberToHexUnpadded(rHex.length / 2 + sHex.length / 2 + 4); - return `30${length}02${rLen}${rHex}02${sLen}${sHex}`; - } - - // Don't use these methods. Use toDER* or toCompact* for explicitness. - toRawBytes() { - return this.toDERRawBytes(); - } - toHex() { - return this.toDERHex(); - } - - // 32 bytes of r, then 32 bytes of s - toCompactRawBytes() { - return hexToBytes(this.toCompactHex()); - } - toCompactHex() { - return numTo32bStr(this.r) + numTo32bStr(this.s); - } -} - -// Concatenates several Uint8Arrays into one. -// TODO: check if we're copying data instead of moving it and if that's ok -function concatBytes(...arrays: Uint8Array[]): Uint8Array { - if (!arrays.every((b) => b instanceof Uint8Array)) throw new Error('Uint8Array list expected'); - if (arrays.length === 1) return arrays[0]; - const length = arrays.reduce((a, arr) => a + arr.length, 0); - const result = new Uint8Array(length); - for (let i = 0, pad = 0; i < arrays.length; i++) { - const arr = arrays[i]; - result.set(arr, pad); - pad += arr.length; - } - return result; -} - -// Convert between types -// --------------------- - -const hexes = Array.from({ length: 256 }, (v, i) => i.toString(16).padStart(2, '0')); -function bytesToHex(uint8a: Uint8Array): string { - if (!(uint8a instanceof Uint8Array)) throw new Error('Expected Uint8Array'); - // pre-caching improves the speed 6x - let hex = ''; - for (let i = 0; i < uint8a.length; i++) { - hex += hexes[uint8a[i]]; - } - return hex; -} - -const POW_2_256 = BigInt('0x10000000000000000000000000000000000000000000000000000000000000000'); -function numTo32bStr(num: bigint): string { - if (typeof num !== 'bigint') throw new Error('Expected bigint'); - if (!(_0n <= num && num < POW_2_256)) throw new Error('Expected number < 2^256'); - return num.toString(16).padStart(64, '0'); -} - -function numTo32b(num: bigint): Uint8Array { - const b = hexToBytes(numTo32bStr(num)); - if (b.length !== 32) throw new Error('Error: expected 32 bytes'); - return b; -} - -function numberToHexUnpadded(num: number | bigint): string { - const hex = num.toString(16); - return hex.length & 1 ? `0${hex}` : hex; -} - -function hexToNumber(hex: string): bigint { - if (typeof hex !== 'string') { - throw new TypeError('hexToNumber: expected string, got ' + typeof hex); - } - // Big Endian - return BigInt(`0x${hex}`); -} - -// Caching slows it down 2-3x -function hexToBytes(hex: string): Uint8Array { - if (typeof hex !== 'string') { - throw new TypeError('hexToBytes: expected string, got ' + typeof hex); - } - if (hex.length % 2) throw new Error('hexToBytes: received invalid unpadded hex' + hex.length); - const array = new Uint8Array(hex.length / 2); - for (let i = 0; i < array.length; i++) { + return p; + } + mulAddQUns(R: Point, u1: bigint, u2: bigint) { // Double scalar mult. Q = u1⋅G + u2⋅R. + return this.mul(u1, false).add(R.mul(u2, false)).ok(); // Unsafe: do NOT use for stuff related + } // to private keys. Doesn't use Shamir trick + toAffine(): AffinePoint { // Convert point to 2d xy affine point. + const { px: x, py: y, pz: z } = this; // (x, y, z) ∋ (x=x/z, y=y/z) + if (this.equals(I)) return { x: 0n, y: 0n }; // fast-path for zero point + if (z === 1n) return { x, y }; // if z is 1, pass affine coordinates as-is + const iz = inv(z); // z^-1: invert z + if (mod(z * iz) !== 1n) err('invalid inverse'); // (z * z^-1) must be 1, otherwise bad math + return { x: mod(x * iz), y: mod(y * iz) }; // x = x*z^-1; y = y*z^-1 + } + assertValidity(): Point { // Checks if the point is valid and on-curve + const { x, y } = this.aff(); // convert to 2d xy affine point. + if (!fe(x) || !fe(y)) err('Point invalid: x or y'); // x and y must be in range 0 < n < P + return mod(y * y) === crv(x) ? // y² = x³ + ax + b, must be equal + this : err('Point invalid: not on curve'); + } + multiply(n: bigint) { return this.mul(n); } // Aliases to compress code + aff() { return this.toAffine(); } + ok() { return this.assertValidity(); } + toHex(isCompressed = true) { // Encode point to hex string. + const { x, y } = this.aff(); // convert to 2d xy affine point + const head = isCompressed ? ((y & 1n) === 0n ? '02' : '03') : '04'; // 0x02, 0x03, 0x04 prefix + return head + n2h(x) + (isCompressed ? '' : n2h(y));// prefix||x and ||y + } + toRawBytes(isCompressed = true) { // Encode point to Uint8Array. + return h2b(this.toHex(isCompressed)); // re-use toHex(), convert hex to bytes + } +} +const { BASE: G, ZERO: I } = Point; // Generator, identity points +const padh = (n: number | bigint, pad: number) => n.toString(16).padStart(pad, '0'); +const b2h = (b: Bytes): string => Array.from(b).map(e => padh(e, 2)).join(''); // bytes to hex +const h2b = (hex: string): Bytes => { // hex to bytes + const l = hex.length; // error if not string, + if (!str(hex) || l % 2) err('hex invalid 1'); // or has odd length like 3, 5. + const arr = u8n(l / 2); // create result array + for (let i = 0; i < arr.length; i++) { const j = i * 2; - const hexByte = hex.slice(j, j + 2); - const byte = Number.parseInt(hexByte, 16); - if (Number.isNaN(byte) || byte < 0) throw new Error('Invalid byte sequence'); - array[i] = byte; - } - return array; -} - -// Big Endian -function bytesToNumber(bytes: Uint8Array): bigint { - return hexToNumber(bytesToHex(bytes)); -} - -function ensureBytes(hex: Hex): Uint8Array { - // Uint8Array.from() instead of hash.slice() because node.js Buffer - // is instance of Uint8Array, and its slice() creates **mutable** copy - return hex instanceof Uint8Array ? Uint8Array.from(hex) : hexToBytes(hex); -} - -function normalizeScalar(num: number | bigint): bigint { - if (typeof num === 'number' && Number.isSafeInteger(num) && num > 0) return BigInt(num); - if (typeof num === 'bigint' && isWithinCurveOrder(num)) return num; - throw new TypeError('Expected valid private scalar: 0 < scalar < curve.n'); -} - -// ------------------------- - -// Calculates a modulo b -function mod(a: bigint, b: bigint = CURVE.P): bigint { - const result = a % b; - return result >= _0n ? result : b + result; -} - -// Does x ^ (2 ^ power). E.g. 30 ^ (2 ^ 4) -function pow2(x: bigint, power: bigint): bigint { - const { P } = CURVE; - let res = x; - while (power-- > _0n) { - res *= res; - res %= P; - } - return res; -} - -// Used to calculate y - the square root of y². -// Exponentiates it to very big number (P+1)/4. -// We are unwrapping the loop because it's 2x faster. -// (P+1n/4n).toString(2) would produce bits [223x 1, 0, 22x 1, 4x 0, 11, 00] -// We are multiplying it bit-by-bit -function sqrtMod(x: bigint): bigint { - const { P } = CURVE; - const _6n = BigInt(6); - const _11n = BigInt(11); - const _22n = BigInt(22); - const _23n = BigInt(23); - const _44n = BigInt(44); - const _88n = BigInt(88); - const b2 = (x * x * x) % P; // x^3, 11 - const b3 = (b2 * b2 * x) % P; // x^7 - const b6 = (pow2(b3, _3n) * b3) % P; - const b9 = (pow2(b6, _3n) * b3) % P; - const b11 = (pow2(b9, _2n) * b2) % P; - const b22 = (pow2(b11, _11n) * b11) % P; - const b44 = (pow2(b22, _22n) * b22) % P; - const b88 = (pow2(b44, _44n) * b44) % P; - const b176 = (pow2(b88, _88n) * b88) % P; - const b220 = (pow2(b176, _44n) * b44) % P; - const b223 = (pow2(b220, _3n) * b3) % P; - const t1 = (pow2(b223, _23n) * b22) % P; - const t2 = (pow2(t1, _6n) * b2) % P; - return pow2(t2, _2n); -} - -// Inverses number over modulo -function invert(number: bigint, modulo: bigint = CURVE.P): bigint { - if (number === _0n || modulo <= _0n) { - throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`); + const h = hex.slice(j, j + 2); // hexByte. slice is faster than substr + const b = Number.parseInt(h, 16); // byte, created from string part + if (Number.isNaN(b) || b < 0) err('hex invalid 2'); // byte must be valid 0 <= byte < 256 + arr[i] = b; } - // Eucledian GCD https://brilliant.org/wiki/extended-euclidean-algorithm/ - let a = mod(number, modulo); - let b = modulo; - // prettier-ignore - let x = _0n, y = _1n, u = _1n, v = _0n; - while (a !== _0n) { - const q = b / a; - const r = b % a; - const m = x - u * q; - const n = y - v * q; - // prettier-ignore + return arr; +}; +const b2n = (b: Bytes): bigint => BigInt('0x' + (b2h(b) || '0')); // bytes to number +const slcNum = (b: Bytes, from: number, to: number) => b2n(b.slice(from, to)); // slice bytes num +const n2b = (num: bigint): Bytes => { // number to 32b. Must be 0 <= num < B256 + return big(num) && num >= 0n && num < B256 ? h2b(padh(num, 2 * fLen)) : err('bigint expected'); +}; +const n2h = (num: bigint): string => b2h(n2b(num)); // number to 32b hex +const concatB = (...arrs: Bytes[]) => { // concatenate Uint8Array-s + const r = u8n(arrs.reduce((sum, a) => sum + au8(a).length, 0)); // create u8a of summed length + let pad = 0; // walk through each array, + arrs.forEach(a => {r.set(a, pad); pad += a.length}); // ensure they have proper type + return r; +}; +const inv = (num: bigint, md = P): bigint => { // modular inversion + if (num === 0n || md <= 0n) err('no inverse n=' + num + ' mod=' + md); // no neg exponent for now + let a = mod(num, md), b = md, x = 0n, y = 1n, u = 1n, v = 0n; + while (a !== 0n) { // uses euclidean gcd algorithm + const q = b / a, r = b % a; // not constant-time + const m = x - u * q, n = y - v * q; b = a, a = r, x = u, y = v, u = m, v = n; } - const gcd = b; - if (gcd !== _1n) throw new Error('invert: does not exist'); - return mod(x, modulo); -} - -/** - * Takes a list of numbers, efficiently inverts all of them. - * @param nums list of bigints - * @param p modulo - * @returns list of inverted bigints - * @example - * invertBatch([1n, 2n, 4n], 21n); - * // => [1n, 11n, 16n] - */ -function invertBatch(nums: bigint[], p: bigint = CURVE.P): bigint[] { - const scratch = new Array(nums.length); - // Walk from first to last, multiply them by each other MOD p - const lastMultiplied = nums.reduce((acc, num, i) => { - if (num === _0n) return acc; - scratch[i] = acc; - return mod(acc * num, p); - }, _1n); - // Invert last element - const inverted = invert(lastMultiplied, p); - // Walk from last to first, multiply them by inverted each other MOD p - nums.reduceRight((acc, num, i) => { - if (num === _0n) return acc; - scratch[i] = mod(acc * scratch[i], p); - return mod(acc * num, p); - }, inverted); - return scratch; -} - -const divNearest = (a: bigint, b: bigint) => (a + b / _2n) / b; -const ENDO = { - a1: BigInt('0x3086d221a7d46bcde86c90e49284eb15'), - b1: -_1n * BigInt('0xe4437ed6010e88286f547fa90abfe4c3'), - a2: BigInt('0x114ca50f7a8e2f3f657c1108d9d44cfd8'), - b2: BigInt('0x3086d221a7d46bcde86c90e49284eb15'), // === a1 - POW_2_128: BigInt('0x100000000000000000000000000000000'), + return b === 1n ? mod(x, md) : err('no inverse'); // b is gcd at this point }; -// Split 256-bit K into 2 128-bit (k1, k2) for which k1 + k2 * lambda = K. -// Used for endomorphism https://gist.github.com/paulmillr/eb670806793e84df628a7c434a873066 -function splitScalarEndo(k: bigint) { - const { n } = CURVE; - const { a1, b1, a2, b2, POW_2_128 } = ENDO; - const c1 = divNearest(b2 * k, n); - const c2 = divNearest(-b1 * k, n); - let k1 = mod(k - c1 * a1 - c2 * a2, n); - let k2 = mod(-c1 * b1 - c2 * b2, n); - const k1neg = k1 > POW_2_128; - const k2neg = k2 > POW_2_128; - if (k1neg) k1 = n - k1; - if (k2neg) k2 = n - k2; - if (k1 > POW_2_128 || k2 > POW_2_128) { - throw new Error('splitScalarEndo: Endomorphism failed, k=' + k); - } - return { k1neg, k1, k2neg, k2 }; -} - -// Ensures ECDSA message hashes are 32 bytes and < curve order -function truncateHash(hash: Uint8Array): bigint { - const { n } = CURVE; - const byteLength = hash.length; - const delta = byteLength * 8 - 256; // size of curve.n - let h = bytesToNumber(hash); - if (delta > 0) h = h >> BigInt(delta); - if (h >= n) h -= n; - return h; -} - -// RFC6979 related code -type RecoveredSig = { sig: Signature; recovery: number }; -type U8A = Uint8Array; - -type Sha256FnSync = undefined | ((...messages: Uint8Array[]) => Uint8Array); -type HmacFnSync = undefined | ((key: Uint8Array, ...messages: Uint8Array[]) => Uint8Array); -let _sha256Sync: Sha256FnSync; -let _hmacSha256Sync: HmacFnSync; - -// Minimal HMAC-DRBG (NIST 800-90) for signatures -// Used only for RFC6979, does not fully implement DRBG spec. -class HmacDrbg { - k: Uint8Array; - v: Uint8Array; - counter: number; - constructor() { - // Step B, Step C - this.v = new Uint8Array(32).fill(1); - this.k = new Uint8Array(32).fill(0); - this.counter = 0; - } - private hmac(...values: Uint8Array[]) { - return utils.hmacSha256(this.k, ...values); - } - private hmacSync(...values: Uint8Array[]) { - return _hmacSha256Sync!(this.k, ...values); - } - private checkSync() { - if (typeof _hmacSha256Sync !== 'function') throw new ShaError('hmacSha256Sync needs to be set'); - } - incr() { - if (this.counter >= 1000) throw new Error('Tried 1,000 k values for sign(), all were invalid'); - this.counter += 1; - } - - // We concatenate extraData into seed - async reseed(seed = new Uint8Array()) { - this.k = await this.hmac(this.v, Uint8Array.from([0x00]), seed); - this.v = await this.hmac(this.v); - if (seed.length === 0) return; - this.k = await this.hmac(this.v, Uint8Array.from([0x01]), seed); - this.v = await this.hmac(this.v); - } - reseedSync(seed = new Uint8Array()) { - this.checkSync(); - this.k = this.hmacSync(this.v, Uint8Array.from([0x00]), seed); - this.v = this.hmacSync(this.v); - if (seed.length === 0) return; - this.k = this.hmacSync(this.v, Uint8Array.from([0x01]), seed); - this.v = this.hmacSync(this.v); - } - - async generate(): Promise { - this.incr(); - this.v = await this.hmac(this.v); - return this.v; - } - generateSync(): Uint8Array { - this.checkSync(); - this.incr(); - this.v = this.hmacSync(this.v); - return this.v; - } - // There is no need in clean() method - // It's useless, there are no guarantees with JS GC - // whether bigints are removed even if you clean Uint8Arrays. -} - -function isWithinCurveOrder(num: bigint): boolean { - return _0n < num && num < CURVE.n; -} - -function isValidFieldElement(num: bigint): boolean { - return _0n < num && num < CURVE.P; -} - -/** - * Converts signature params into point & r/s, checks them for validity. - * k must be in range [1, n-1] - * @param k signature's k param: deterministic in our case, random in non-rfc6979 sigs - * @param m message that would be signed - * @param d private key - * @returns Signature with its point on curve Q OR undefined if params were invalid - */ -function kmdToSig(kBytes: Uint8Array, m: bigint, d: bigint): RecoveredSig | undefined { - const k = bytesToNumber(kBytes); - if (!isWithinCurveOrder(k)) return; - // Important: all mod() calls in the function must be done over `n` - const { n } = CURVE; - const q = Point.BASE.multiply(k); - // r = x mod n - const r = mod(q.x, n); - if (r === _0n) return; - // s = (1/k * (m + dr) mod n - const s = mod(invert(k, n) * mod(m + d * r, n), n); - if (s === _0n) return; - const sig = new Signature(r, s); - const recovery = (q.x === sig.r ? 0 : 2) | Number(q.y & _1n); - return { sig, recovery }; -} - -function normalizePrivateKey(key: PrivKey): bigint { - let num: bigint; - if (typeof key === 'bigint') { - num = key; - } else if (typeof key === 'number' && Number.isSafeInteger(key) && key > 0) { - num = BigInt(key); - } else if (typeof key === 'string') { - if (key.length !== 64) throw new Error('Expected 32 bytes of private key'); - num = hexToNumber(key); - } else if (key instanceof Uint8Array) { - if (key.length !== 32) throw new Error('Expected 32 bytes of private key'); - num = bytesToNumber(key); - } else { - throw new TypeError('Expected valid private key'); - } - if (!isWithinCurveOrder(num)) throw new Error('Expected private key: 0 < key < n'); - return num; -} - -/** - * Normalizes hex, bytes, Point to Point. Checks for curve equation. - */ -function normalizePublicKey(publicKey: PubKey): Point { - if (publicKey instanceof Point) { - publicKey.assertValidity(); - return publicKey; - } else { - return Point.fromHex(publicKey); - } -} - -/** - * Signatures can be in 64-byte compact representation, - * or in (variable-length)-byte DER representation. - * Since DER could also be 64 bytes, we check for it first. - */ -function normalizeSignature(signature: Sig): Signature { - if (signature instanceof Signature) { - signature.assertValidity(); - return signature; - } - try { - return Signature.fromDER(signature); - } catch (error) { - return Signature.fromCompact(signature); - } -} - -/** - * Computes public key for secp256k1 private key. - * @param privateKey 32-byte private key - * @param isCompressed whether to return compact (33-byte), or full (65-byte) key - * @returns Public key, full by default; short when isCompressed=true - */ -export function getPublicKey(privateKey: PrivKey, isCompressed = false): Uint8Array { - return Point.fromPrivateKey(privateKey).toRawBytes(isCompressed); -} - -/** - * Recovers public key from signature and recovery bit. Throws on invalid sig/hash. - * @param msgHash message hash - * @param signature DER or compact sig - * @param recovery 0 or 1 - * @param isCompressed whether to return compact (33-byte), or full (65-byte) key - * @returns Public key, full by default; short when isCompressed=true - */ -export function recoverPublicKey( - msgHash: Hex, - signature: Sig, - recovery: number, - isCompressed = false -): Uint8Array { - return Point.fromSignature(msgHash, signature, recovery).toRawBytes(isCompressed); -} - -/** - * Quick and dirty check for item being public key. Does not validate hex, or being on-curve. - */ -function isProbPub(item: PrivKey | PubKey): boolean { - const arr = item instanceof Uint8Array; - const str = typeof item === 'string'; - const len = (arr || str) && (item as Hex).length; - if (arr) return len === 33 || len === 65; - if (str) return len === 66 || len === 130; - if (item instanceof Point) return true; - return false; -} - -/** - * ECDH (Elliptic Curve Diffie Hellman) implementation. - * 1. Checks for validity of private key - * 2. Checks for the public key of being on-curve - * @param privateA private key - * @param publicB different public key - * @param isCompressed whether to return compact (33-byte), or full (65-byte) key - * @returns shared public key - */ -export function getSharedSecret( - privateA: PrivKey, - publicB: PubKey, - isCompressed = false -): Uint8Array { - if (isProbPub(privateA)) throw new TypeError('getSharedSecret: first arg must be private key'); - if (!isProbPub(publicB)) throw new TypeError('getSharedSecret: second arg must be public key'); - const b = normalizePublicKey(publicB); - b.assertValidity(); - return b.multiply(normalizePrivateKey(privateA)).toRawBytes(isCompressed); -} - -type Entropy = Hex | true; -type OptsOther = { canonical?: boolean; der?: boolean; extraEntropy?: Entropy }; -type OptsRecov = { recovered: true } & OptsOther; -type OptsNoRecov = { recovered?: false } & OptsOther; -type Opts = { recovered?: boolean } & OptsOther; -type SignOutput = Uint8Array | [Uint8Array, number]; - -// RFC6979 methods -function bits2int(bytes: Uint8Array) { - const slice = bytes.length > 32 ? bytes.slice(0, 32) : bytes; - return bytesToNumber(slice); -} -function bits2octets(bytes: Uint8Array): Uint8Array { - const z1 = bits2int(bytes); - const z2 = mod(z1, CURVE.n); - return int2octets(z2 < _0n ? z1 : z2); -} -function int2octets(num: bigint): Uint8Array { - return numTo32b(num); // prohibits >32 bytes -} - -// Steps A, D of RFC6979 3.2 -// Creates RFC6979 seed; converts msg/privKey to numbers. -function initSigArgs(msgHash: Hex, privateKey: PrivKey, extraEntropy?: Entropy) { - if (msgHash == null) throw new Error(`sign: expected valid message hash, not "${msgHash}"`); - // Step A is ignored, since we already provide hash instead of msg - const h1 = ensureBytes(msgHash); - const d = normalizePrivateKey(privateKey); - // K = HMAC_K(V || 0x00 || int2octets(x) || bits2octets(h1) || k') - const seedArgs = [int2octets(d), bits2octets(h1)]; - // RFC6979 3.6: additional k' could be provided - if (extraEntropy != null) { - if (extraEntropy === true) extraEntropy = utils.randomBytes(32); - const e = ensureBytes(extraEntropy); - if (e.length !== 32) throw new Error('sign: Expected 32 bytes of extra data'); - seedArgs.push(e); - } - // seed is constructed from private key and message - // Step D - // V, 0x00 are done in HmacDRBG constructor. - const seed = concatBytes(...seedArgs); - const m = bits2int(h1); - return { seed, m, d }; -} - -// Takes signature with its recovery bit, normalizes it -// Produces DER/compact signature and proper recovery bit -function finalizeSig(recSig: RecoveredSig, opts: OptsNoRecov | OptsRecov): SignOutput { - let { sig, recovery } = recSig; - const { canonical, der, recovered } = Object.assign({ canonical: true, der: true }, opts); - if (canonical && sig.hasHighS()) { - sig = sig.normalizeS(); - recovery ^= 1; - } - const hashed = der ? sig.toDERRawBytes() : sig.toCompactRawBytes(); - return recovered ? [hashed, recovery] : hashed; -} - -/** - * Signs message hash (not message: you need to hash it by yourself). - * We don't auto-hash because some users would want non-SHA256 hash. - * We are always using deterministic signatures (RFC6979 3.1) instead of - * letting user specify random k. - * HMAC-DRBG generates k, then calculates sig point Q & signature r, s based on it. - * Could receive extra entropy k' as per RFC6979 3.6 Additional data. - * k' is not generated by default, because of backwards-compatibility concerns. - * We strongly recommend to pass {extraEntropy: true}. - * - * low-s signatures are generated by default. If you don't want it, use canonical: false. - * - * ``` - * sign(m, d, k) where - * (x, y) = G × k - * r = x mod n - * s = (1/k * (m + dr) mod n - * ``` - * @param opts `recovered, canonical, der, extraEntropy` - */ -async function sign(msgHash: Hex, privKey: PrivKey, opts: OptsRecov): Promise<[U8A, number]>; -async function sign(msgHash: Hex, privKey: PrivKey, opts?: OptsNoRecov): Promise; -async function sign(msgHash: Hex, privKey: PrivKey, opts: Opts = {}): Promise { - // Steps A, D of RFC6979 3.2. - const { seed, m, d } = initSigArgs(msgHash, privKey, opts.extraEntropy); - let sig: RecoveredSig | undefined; - // Steps B, C, D, E, F, G - const drbg = new HmacDrbg(); - await drbg.reseed(seed); - // Step H3, repeat until k is in range [1, n-1] - while (!(sig = kmdToSig(await drbg.generate(), m, d))) await drbg.reseed(); - return finalizeSig(sig, opts); -} - -/** - * Signs message hash (not message: you need to hash it by yourself). - * Synchronous version of `sign()`: see its documentation. - * @param opts `recovered, canonical, der, extraEntropy` - */ -function signSync(msgHash: Hex, privKey: PrivKey, opts: OptsRecov): [U8A, number]; -function signSync(msgHash: Hex, privKey: PrivKey, opts?: OptsNoRecov): U8A; -function signSync(msgHash: Hex, privKey: PrivKey, opts: Opts = {}): SignOutput { - // Steps A, D of RFC6979 3.2. - const { seed, m, d } = initSigArgs(msgHash, privKey, opts.extraEntropy); - let sig: RecoveredSig | undefined; - // Steps B, C, D, E, F, G - const drbg = new HmacDrbg(); - drbg.reseedSync(seed); - // Step H3, repeat until k is in range [1, n-1] - while (!(sig = kmdToSig(drbg.generateSync(), m, d))) drbg.reseedSync(); - return finalizeSig(sig, opts); -} -export { sign, signSync }; - -type VOpts = { strict?: boolean }; -const vopts: VOpts = { strict: true }; - -/** - * Verifies a signature against message hash and public key. - * Rejects non-canonical / high-s signatures by default: to override, - * specify option `{strict: false}`. Implements section 4.1.4 from https://www.secg.org/sec1-v2.pdf: - * - * ``` - * verify(r, s, h, P) where - * U1 = hs^-1 mod n - * U2 = rs^-1 mod n - * R = U1⋅G - U2⋅P - * mod(R.x, n) == r - * ``` - */ -export function verify(signature: Sig, msgHash: Hex, publicKey: PubKey, opts = vopts): boolean { - let sig; - try { - sig = normalizeSignature(signature); - msgHash = ensureBytes(msgHash); - } catch (error) { - return false; - } - const { r, s } = sig; - if (opts.strict && sig.hasHighS()) return false; - const h = truncateHash(msgHash); - - let P; - try { - P = normalizePublicKey(publicKey); - } catch (error) { - return false; - } - const { n } = CURVE; - const sinv = invert(s, n); // s^-1 - // R = u1⋅G - u2⋅P - const u1 = mod(h * sinv, n); - const u2 = mod(r * sinv, n); - - // Some implementations compare R.x in jacobian, without inversion. - // The speed-up is <5%, so we don't complicate the code. - const R = Point.BASE.multiplyAndAddUnsafe(P, u1, u2); - if (!R) return false; - const v = mod(R.x, n); - return v === r; -} - -// Schnorr signatures are superior to ECDSA from above. -// Below is Schnorr-specific code as per BIP0340. -function schnorrChallengeFinalize(ch: Uint8Array): bigint { - return mod(bytesToNumber(ch), CURVE.n); -} - -class SchnorrSignature { - constructor(readonly r: bigint, readonly s: bigint) { - this.assertValidity(); - } - static fromHex(hex: Hex) { - const bytes = ensureBytes(hex); - if (bytes.length !== 64) - throw new TypeError(`SchnorrSignature.fromHex: expected 64 bytes, not ${bytes.length}`); - const r = bytesToNumber(bytes.subarray(0, 32)); - const s = bytesToNumber(bytes.subarray(32, 64)); - return new SchnorrSignature(r, s); - } - assertValidity() { - const { r, s } = this; - if (!isValidFieldElement(r) || !isWithinCurveOrder(s)) throw new Error('Invalid signature'); +const sqrt = (n: bigint) => { // √n = n^((p+1)/4) for fields p = 3 mod 4 + let r = 1n; // So, a special, fast case. Paper: "Square Roots from 1;24,51,10 to Dan Shanks". + for (let num = n, e = (P + 1n) / 4n; e > 0n; e >>= 1n) { // powMod: modular exponentiation. + if (e & 1n) r = (r * num) % P; // Uses exponentiation by squaring. + num = (num * num) % P; // Not constant-time. } - toHex(): string { - return numTo32bStr(this.r) + numTo32bStr(this.s); - } - toRawBytes(): Uint8Array { - return hexToBytes(this.toHex()); - } -} - -// Schnorr's pubkey is just `x` of Point -// BIP340 -function schnorrGetPublicKey(privateKey: PrivKey): Uint8Array { - return Point.fromPrivateKey(privateKey).toRawX(); -} - -// We are abstracting the signature creation process into the class -// because we need to provide two identical methods: async & sync. Usage: -// new InternalSchnorrSignature(msg, privKey, auxRand).calc() -class InternalSchnorrSignature { - private m: Uint8Array; - private px: Uint8Array; - private d: bigint; - private rand: Uint8Array; - - constructor(message: Hex, privateKey: PrivKey, auxRand: Hex = utils.randomBytes()) { - if (message == null) throw new TypeError(`sign: Expected valid message, not "${message}"`); - this.m = ensureBytes(message); - // checks for isWithinCurveOrder - const { x, scalar } = this.getScalar(normalizePrivateKey(privateKey)); - this.px = x; - this.d = scalar; - this.rand = ensureBytes(auxRand); - if (this.rand.length !== 32) throw new TypeError('sign: Expected 32 bytes of aux randomness'); - } - - private getScalar(priv: bigint) { - const point = Point.fromPrivateKey(priv); - const scalar = point.hasEvenY() ? priv : CURVE.n - priv; - return { point, scalar, x: point.toRawX() }; - } - - private initNonce(d: bigint, t0h: Uint8Array): Uint8Array { - return numTo32b(d ^ bytesToNumber(t0h)); - } - private finalizeNonce(k0h: Uint8Array) { - const k0 = mod(bytesToNumber(k0h), CURVE.n); - if (k0 === _0n) throw new Error('sign: Creation of signature failed. k is zero'); - const { point: R, x: rx, scalar: k } = this.getScalar(k0); - return { R, rx, k }; - } - private finalizeSig(R: Point, k: bigint, e: bigint, d: bigint): Uint8Array { - return new SchnorrSignature(R.x, mod(k + e * d, CURVE.n)).toRawBytes(); - } - private error() { - throw new Error('sign: Invalid signature produced'); - } - - async calc() { - const { m, d, px, rand } = this; - const tag = utils.taggedHash; - const t = this.initNonce(d, await tag(TAGS.aux, rand)); - const { R, rx, k } = this.finalizeNonce(await tag(TAGS.nonce, t, px, m)); - const e = schnorrChallengeFinalize(await tag(TAGS.challenge, rx, px, m)); - const sig = this.finalizeSig(R, k, e, d); - if (!(await schnorrVerify(sig, m, px))) this.error(); - return sig; - } - calcSync() { - const { m, d, px, rand } = this; - const tag = utils.taggedHashSync; - const t = this.initNonce(d, tag(TAGS.aux, rand)); - const { R, rx, k } = this.finalizeNonce(tag(TAGS.nonce, t, px, m)); - const e = schnorrChallengeFinalize(tag(TAGS.challenge, rx, px, m)); - const sig = this.finalizeSig(R, k, e, d); - if (!schnorrVerifySync(sig, m, px)) this.error(); - return sig; - } -} - -/** - * Creates Schnorr signature. Improved security: verifies itself before producing an output. - * @param msg message (not message hash) - * @param privateKey private key - * @param auxRand random bytes that would be added to k. Bad RNG won't break it. - */ -async function schnorrSign(msg: Hex, privKey: PrivKey, auxRand?: Hex): Promise { - return new InternalSchnorrSignature(msg, privKey, auxRand).calc(); -} - -/** - * Synchronously creates Schnorr signature. Improved security: verifies itself before - * producing an output. - * @param msg message (not message hash) - * @param privateKey private key - * @param auxRand random bytes that would be added to k. Bad RNG won't break it. - */ -function schnorrSignSync(msg: Hex, privKey: PrivKey, auxRand?: Hex): Uint8Array { - return new InternalSchnorrSignature(msg, privKey, auxRand).calcSync(); -} - -function initSchnorrVerify(signature: Hex, message: Hex, publicKey: Hex) { - const raw = signature instanceof SchnorrSignature; - const sig: SchnorrSignature = raw ? signature : SchnorrSignature.fromHex(signature); - if (raw) sig.assertValidity(); // just in case - - return { - ...sig, - m: ensureBytes(message), - P: normalizePublicKey(publicKey), - }; -} - -function finalizeSchnorrVerify(r: bigint, P: Point, s: bigint, e: bigint): boolean { - // R = s⋅G - e⋅P - // -eP == (n-e)P - const R = Point.BASE.multiplyAndAddUnsafe(P, normalizePrivateKey(s), mod(-e, CURVE.n)); - if (!R || !R.hasEvenY() || R.x !== r) return false; - return true; -} - -/** - * Verifies Schnorr signature. - */ -async function schnorrVerify(signature: Hex, message: Hex, publicKey: Hex): Promise { - try { - const { r, s, m, P } = initSchnorrVerify(signature, message, publicKey); - const e = schnorrChallengeFinalize( - await utils.taggedHash(TAGS.challenge, numTo32b(r), P.toRawX(), m) - ); - return finalizeSchnorrVerify(r, P, s, e); - } catch (error) { - return false; - } -} - -/** - * Verifies Schnorr signature synchronously. - */ -function schnorrVerifySync(signature: Hex, message: Hex, publicKey: Hex): boolean { - try { - const { r, s, m, P } = initSchnorrVerify(signature, message, publicKey); - const e = schnorrChallengeFinalize( - utils.taggedHashSync(TAGS.challenge, numTo32b(r), P.toRawX(), m) - ); - return finalizeSchnorrVerify(r, P, s, e); - } catch (error) { - if (error instanceof ShaError) throw error; - return false; - } -} - -export const schnorr = { - Signature: SchnorrSignature, - getPublicKey: schnorrGetPublicKey, - sign: schnorrSign, - verify: schnorrVerify, - signSync: schnorrSignSync, - verifySync: schnorrVerifySync, + return mod(r * r) === n ? r : err('sqrt invalid'); // check if result is valid }; - -// Enable precomputes. Slows down first publicKey computation by 20ms. -Point.BASE._setWindowSize(8); - -// Global symbol available in browsers only. Ensure we do not depend on @types/dom -declare const self: Record | undefined; -const crypto: { node?: any; web?: any } = { - node: nodeCrypto, - web: typeof self === 'object' && 'crypto' in self ? self.crypto : undefined, +const toPriv = (p: PrivKey): bigint => { // normalize private key to bigint + if (!big(p)) p = b2n(toU8(p, fLen)); // convert to bigint when bytes + return ge(p) ? p : err('private key out of range'); // check if bigint is in range }; - -const TAGS = { - challenge: 'BIP0340/challenge', - aux: 'BIP0340/aux', - nonce: 'BIP0340/nonce', -} as const; -/** An object mapping tags to their tagged hash prefix of [SHA256(tag) | SHA256(tag)] */ -const TAGGED_HASH_PREFIXES: { [tag: string]: Uint8Array } = {}; - -export const utils = { - bytesToHex, - hexToBytes, - concatBytes, - mod, - invert, - - isValidPrivateKey(privateKey: PrivKey) { - try { - normalizePrivateKey(privateKey); - return true; - } catch (error) { - return false; - } - }, - _bigintTo32Bytes: numTo32b, - _normalizePrivateKey: normalizePrivateKey, - - /** - * Can take 40 or more bytes of uniform input e.g. from CSPRNG or KDF - * and convert them into private key, with the modulo bias being neglible. - * As per FIPS 186 B.4.1. - * https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/ - * @param hash hash output from sha512, or a similar function - * @returns valid private key - */ - hashToPrivateKey: (hash: Hex): Uint8Array => { - hash = ensureBytes(hash); - if (hash.length < 40 || hash.length > 1024) - throw new Error('Expected 40-1024 bytes of private key as per FIPS 186'); - const num = mod(bytesToNumber(hash), CURVE.n - _1n) + _1n; - return numTo32b(num); - }, - - randomBytes: (bytesLength: number = 32): Uint8Array => { - if (crypto.web) { - return crypto.web.getRandomValues(new Uint8Array(bytesLength)); - } else if (crypto.node) { - const { randomBytes } = crypto.node; - return Uint8Array.from(randomBytes(bytesLength)); - } else { - throw new Error("The environment doesn't have randomBytes function"); - } - }, - - // Takes curve order + 64 bits from CSPRNG - // so that modulo bias is neglible, matches FIPS 186 B.1.1. - randomPrivateKey: (): Uint8Array => { - return utils.hashToPrivateKey(utils.randomBytes(40)); - }, - - sha256: async (...messages: Uint8Array[]): Promise => { - if (crypto.web) { - const buffer = await crypto.web.subtle.digest('SHA-256', concatBytes(...messages)); - return new Uint8Array(buffer); - } else if (crypto.node) { - const { createHash } = crypto.node; - const hash = createHash('sha256'); - messages.forEach((m) => hash.update(m)); - return Uint8Array.from(hash.digest()); - } else { - throw new Error("The environment doesn't have sha256 function"); - } - }, - - hmacSha256: async (key: Uint8Array, ...messages: Uint8Array[]): Promise => { - if (crypto.web) { - // prettier-ignore - const ckey = await crypto.web.subtle.importKey( - 'raw', key, { name: 'HMAC', hash: { name: 'SHA-256' } }, false, ['sign'] - ); - const message = concatBytes(...messages); - const buffer = await crypto.web.subtle.sign('HMAC', ckey, message); - return new Uint8Array(buffer); - } else if (crypto.node) { - const { createHmac } = crypto.node; - const hash = createHmac('sha256', key); - messages.forEach((m) => hash.update(m)); - return Uint8Array.from(hash.digest()); - } else { - throw new Error("The environment doesn't have hmac-sha256 function"); - } - }, - - // See Object.defineProp below - sha256Sync: undefined as Sha256FnSync, - hmacSha256Sync: undefined as HmacFnSync, - - taggedHash: async (tag: string, ...messages: Uint8Array[]): Promise => { - let tagP = TAGGED_HASH_PREFIXES[tag]; - if (tagP === undefined) { - const tagH = await utils.sha256(Uint8Array.from(tag, (c) => c.charCodeAt(0))); - tagP = concatBytes(tagH, tagH); - TAGGED_HASH_PREFIXES[tag] = tagP; - } - - return utils.sha256(tagP, ...messages); - }, - - taggedHashSync: (tag: string, ...messages: Uint8Array[]): Uint8Array => { - if (typeof _sha256Sync !== 'function') - throw new ShaError('sha256Sync is undefined, you need to set it'); - let tagP = TAGGED_HASH_PREFIXES[tag]; - if (tagP === undefined) { - const tagH = _sha256Sync(Uint8Array.from(tag, (c) => c.charCodeAt(0))); - tagP = concatBytes(tagH, tagH); - TAGGED_HASH_PREFIXES[tag] = tagP; +const moreThanHalfN = (n: bigint): boolean => n > (N >> 1n); // if a number is bigger than CURVE.n/2 +const getPublicKey = (privKey: PrivKey, isCompressed = true) => { // Make public key from priv + return Point.fromPrivateKey(privKey).toRawBytes(isCompressed); // 33b or 65b output +} +type SignatureWithRecovery = Signature & { recovery: number } +class Signature { // ECDSA Signature class + constructor(readonly r: bigint, readonly s: bigint, readonly recovery?: number) { + this.assertValidity(); // recovery bit is optional when + } // constructed outside. + static fromCompact(hex: Hex) { // create signature from 64b compact repr + hex = toU8(hex, 64); // compact repr is (32b r)||(32b s) + return new Signature(slcNum(hex, 0, fLen), slcNum(hex, fLen, 2 * fLen)); + } + assertValidity() { return ge(this.r) && ge(this.s) ? this : err(); } // 0 < r or s < CURVE.n + addRecoveryBit(rec: number): SignatureWithRecovery { + return new Signature(this.r, this.s, rec) as SignatureWithRecovery; + } + hasHighS() { return moreThanHalfN(this.s); } + normalizeS() { + return this.hasHighS() ? new Signature(this.r, mod(this.s, N), this.recovery) : this + } + recoverPublicKey(msgh: Hex): Point { // ECDSA public key recovery + const { r, s, recovery: rec } = this; // secg.org/sec1-v2.pdf 4.1.6 + if (![0, 1, 2, 3].includes(rec!)) err('recovery id invalid'); // check recovery id + const h = bits2int_modN(toU8(msgh, fLen)); // Truncate hash + const radj = rec === 2 || rec === 3 ? r + N : r; // If rec was 2 or 3, q.x is bigger than n + if (radj >= P) err('q.x invalid'); // ensure q.x is still a field element + const head = (rec! & 1) === 0 ? '02' : '03'; // head is 0x02 or 0x03 + const R = Point.fromHex(head + n2h(radj)); // concat head + hex repr of r + const ir = inv(radj, N); // r^-1 + const u1 = mod(-h * ir, N); // -hr^-1 + const u2 = mod(s * ir, N); // sr^-1 + return G.mulAddQUns(R, u1, u2); // (sr^-1)R-(hr^-1)G = -(hr^-1)G + (sr^-1) + } + toCompactRawBytes() { return h2b(this.toCompactHex()); } // Uint8Array 64b compact repr + toCompactHex() { return n2h(this.r) + n2h(this.s); } // hex 64b compact repr +} +const bits2int = (bytes: Uint8Array): bigint => { // RFC6979: ensure ECDSA msg is X bytes. + const delta = bytes.length * 8 - 256; // RFC suggests optional truncating via bits2octets + const num = b2n(bytes); // FIPS 186-4 4.6 suggests the leftmost min(nBitLen, outLen) bits, which + return delta > 0 ? num >> BigInt(delta) : num; // matches bits2int. bits2int can produce res>N. +}; +const bits2int_modN = (bytes: Uint8Array): bigint => { // int2octets can't be used; pads small msgs + return mod(bits2int(bytes), N); // with 0: BAD for trunc as per RFC vectors +}; +const i2o = (num: bigint): Bytes => n2b(num); // int to octets +declare const globalThis: Record | undefined; // Typescript symbol present in browsers +const cr = () => // We support: 1) browsers 2) node.js 19+ 3) deno, other envs with crypto + typeof globalThis === 'object' && 'crypto' in globalThis ? globalThis.crypto : undefined; +type HmacFnSync = undefined | ((key: Bytes, ...msgs: Bytes[]) => Bytes); +let _hmacSync: HmacFnSync; // Can be redefined by use in utils; built-ins don't provide it +const optS: { lowS?: boolean; extraEntropy?: boolean | Hex; } = { lowS: true }; // opts for sign() +const optV: { lowS?: boolean } = { lowS: true }; // standard opts for verify() +type BC = { seed: Bytes, k2sig : (kb: Bytes) => SignatureWithRecovery | undefined }; // Bytes+predicate checker +const prepSig = (msgh: Hex, priv: PrivKey, opts=optS): BC => {// prepare for RFC6979 sig generation + if (['der', 'recovered', 'canonical'].some(k => k in opts)) // Ban legacy options + err('sign() legacy options not supported'); + let { lowS } = opts; // generates low-s sigs by default + if (lowS == null) lowS = true; // RFC6979 3.2: we skip step A + const h1i = bits2int_modN(toU8(msgh)); // msg bigint + const h1o = i2o(h1i); // msg octets + const d = toPriv(priv); // validate private key, convert to bigint + const seed = [i2o(d), h1o]; // Step D of RFC6979 3.2 + let ent = opts.extraEntropy; // RFC6979 3.6: additional k' (optional) + if (ent) { // K = HMAC_K(V || 0x00 || int2octets(x) || bits2octets(h1) || k') + if (ent === true) ent = etc.randomBytes(fLen); // if true, use CSPRNG to generate data + const e = toU8(ent); // convert Hex|Bytes to Bytes + if (e.length !== fLen) err(); // Expected 32 bytes of extra data + seed.push(e); + } + const m = h1i; // convert msg to bigint + const k2sig = (kBytes: Bytes): SignatureWithRecovery | undefined => { // Transform k => Signature. + const k = bits2int(kBytes); // RFC6979 method. + if (!ge(k)) return; // Check 0 < k < CURVE.n + const ik = inv(k, N); // k^-1 mod n, NOT mod P + const q = G.mul(k).aff(); // q = Gk + const r = mod(q.x, N); // r = q.x mod n + if (r === 0n) return; // r=0 invalid + const s = mod(ik * mod(m + mod(d * r, N), N), N); // s = k^-1(m + rd) mod n + if (s === 0n) return; // s=0 invalid + let normS = s; // normalized S + let rec = (q.x === r ? 0 : 2) | Number(q.y & 1n); // recovery bit + if (lowS && moreThanHalfN(s)) { // if lowS was passed, ensure s is always + normS = mod(-s, N); // in the bottom half of CURVE.n + rec ^= 1; } - - return _sha256Sync(tagP, ...messages); + return new Signature(r, normS, rec) as SignatureWithRecovery; // use normS, not s + }; + return { seed: concatB(...seed), k2sig } +} +type Pred = (v: Uint8Array) => T | undefined; +function hmacDrbg(asynchronous: true): (seed: Bytes, predicate: Pred) => Promise; +function hmacDrbg(asynchronous: false): (seed: Bytes, predicate: Pred) => T; +function hmacDrbg(asynchronous: boolean) { // HMAC-DRBG async + let v = u8n(fLen); // Minimal non-full-spec HMAC-DRBG from NIST 800-90 for RFC6979 sigs. + let k = u8n(fLen); // Steps B, C of RFC6979 3.2: set hashLen, in our case always same + let i = 0; // Iterations counter, will throw when over 1000 + const reset = () => { v.fill(1); k.fill(0); i = 0; }; + const _e = 'drbg: tried 1000 values'; + if (asynchronous) { // asynchronous=true + const h = (...b: Bytes[]) => etc.hmacSha256Async(k, v, ...b); // hmac(k)(v, ...values) + const reseed = async (seed = u8n()) => { // HMAC-DRBG reseed() function. Steps D-G + k = await h(u8n([0x00]), seed); // k = hmac(K || V || 0x00 || seed) + v = await h(); // v = hmac(K || V) + if (seed.length === 0) return; + k = await h(u8n([0x01]), seed); // k = hmac(K || V || 0x01 || seed) + v = await h(); // v = hmac(K || V) + }; + const gen = async () => { // HMAC-DRBG generate() function + if (i++ >= 1000) err(_e); + v = await h(); // v = hmac(K || V) + return v; + }; + return async (seed: Bytes, pred: Pred): Promise => { // Even though it feels safe to reuse + reset(); // the returned fn, don't, it's: 1. slower (JIT). 2. unsafe (async race conditions) + await reseed(seed); // Steps D-G + let res: T | undefined = undefined; // Step H: grind until k is in [1..n-1] + while (!(res = pred(await gen()))) await reseed();// test predicate until it returns ok + reset(); + return res!; + }; + } else { + const h = (...b: Bytes[]) => { // asynchronous=false; same, but synchronous + const f = _hmacSync; + if (!f) err('etc.hmacSha256Sync not set'); + return f!(k, v, ...b); // hmac(k)(v, ...values) + }; + const reseed = (seed = u8n()) => { // HMAC-DRBG reseed() function. Steps D-G + k = h(u8n([0x00]), seed); // k = hmac(k || v || 0x00 || seed) + v = h(); // v = hmac(k || v) + if (seed.length === 0) return; + k = h(u8n([0x01]), seed); // k = hmac(k || v || 0x01 || seed) + v = h(); // v = hmac(k || v) + }; + const gen = () => { // HMAC-DRBG generate() function + if (i++ >= 1000) err(_e); + v = h(); // v = hmac(k || v) + return v; + }; + return (seed: Bytes, pred: Pred): T => { + reset(); + reseed(seed); // Steps D-G + let res: T | undefined = undefined; // Step H: grind until k is in [1..n-1] + while (!(res = pred(gen()))) reseed(); // test predicate until it returns ok + reset(); + return res!; + }; + } +} +// ECDSA signature generation. via secg.org/sec1-v2.pdf 4.1.2 + RFC6979 deterministic k +const signAsync = async (msgh: Hex, priv: PrivKey, opts = optS): Promise => { + const { seed, k2sig } = prepSig(msgh, priv, opts); // Extract arguments for hmac-drbg + return hmacDrbg(true)(seed, k2sig); // Re-run drbg until k2sig returns ok +} +const sign = (msgh: Hex, priv: PrivKey, opts = optS): SignatureWithRecovery => { + const { seed, k2sig } = prepSig(msgh, priv, opts); // Extract arguments for hmac-drbg + return hmacDrbg(false)(seed, k2sig); // Re-run drbg until k2sig returns ok +} +type SigLike = { r: bigint, s: bigint }; +const verify = (sig: Hex | SigLike, msgh: Hex, pub: Hex, opts = optV): boolean => { + let { lowS } = opts; // ECDSA signature verification + if (lowS == null) lowS = true; // Default lowS=true + if ('strict' in opts) err('verify() legacy options not supported'); // legacy param + let sig_: Signature, h: bigint, P: Point; // secg.org/sec1-v2.pdf 4.1.4 + const rs = sig && typeof sig === 'object' && 'r' in sig; // Previous ver supported DER sigs. We + if (!rs && (toU8(sig).length !== 2 * fLen)) // throw error when DER is suspected now. + err('signature must be 64 bytes'); + try { + sig_ = rs ? new Signature(sig.r, sig.s).assertValidity() : Signature.fromCompact(sig); + h = bits2int_modN(toU8(msgh)); // Truncate hash + P = pub instanceof Point ? pub.ok() : Point.fromHex(pub); // Validate public key + } catch (e) { return false; } // Check sig for validity in both cases + if (!sig_) return false; + const { r, s } = sig_; + if (lowS && moreThanHalfN(s)) return false; // lowS bans sig.s >= CURVE.n/2 + let R: AffinePoint; + try { + const is = inv(s, N); // s^-1 + const u1 = mod(h * is, N); // u1 = hs^-1 mod n + const u2 = mod(r * is, N); // u2 = rs^-1 mod n + R = G.mulAddQUns(P, u1, u2).aff(); // R = u1⋅G + u2⋅P + } catch (error) { return false; } + if (!R) return false; // stop if R is identity / zero point + const v = mod(R.x, N); // R.x must be in N's field, not P's + return v === r; // mod(R.x, n) == r +} +const getSharedSecret = (privA: Hex, pubB: Hex, isCompressed = true): Bytes => { + return Point.fromHex(pubB).mul(toPriv(privA)).toRawBytes(isCompressed); // ECDH +} +const hashToPrivateKey = (hash: Hex): Bytes => { // FIPS 186 B.4.1 compliant key generation + hash = toU8(hash); // produces private keys with modulo bias + const minLen = fLen + 8; // being neglible. + if (hash.length < minLen || hash.length > 1024) err('expected proper params'); + const num = mod(b2n(hash), N - 1n) + 1n; // takes at least n+8 bytes + return n2b(num); +} +const etc = { // Not placed in utils because they + hexToBytes: h2b, bytesToHex: b2h, // share API with noble-curves. + concatBytes: concatB, bytesToNumberBE: b2n, numberToBytesBE: n2b, + mod, invert: inv, // math utilities + hmacSha256Async: async (key: Bytes, ...msgs: Bytes[]): Promise => { + const c = cr(); // async HMAC-SHA256, no sync built-in! + const s = c && c.subtle; // For React Native support, see README. + if (!s) return err('etc.hmacSha256Async not set'); // Uses webcrypto built-in cryptography. + const k = await s.importKey('raw', key, {name:'HMAC',hash:{name:'SHA-256'}}, false, ['sign']); + return u8n(await s.sign('HMAC', k, concatB(...msgs))); }, - - /** - * 1. Returns cached point which you can use to pass to `getSharedSecret` or `#multiply` by it. - * 2. Precomputes point multiplication table. Is done by default on first `getPublicKey()` call. - * If you want your first getPublicKey to take 0.16ms instead of 20ms, make sure to call - * utils.precompute() somewhere without arguments first. - * @param windowSize 2, 4, 8, 16 - * @returns cached point - */ - precompute(windowSize = 8, point = Point.BASE): Point { - const cached = point === Point.BASE ? point : new Point(point.x, point.y); - cached._setWindowSize(windowSize); - cached.multiply(_3n); - return cached; + hmacSha256Sync: _hmacSync, // For TypeScript. Actual logic is below + hashToPrivateKey, + randomBytes: (len = 32): Bytes => { // CSPRNG (random number generator) + const crypto = cr(); // Must be shimmed in node.js <= 18 to prevent error. See README. + if (!crypto || !crypto.getRandomValues) err('crypto.getRandomValues must be defined'); + return crypto.getRandomValues(u8n(len)); }, - // For tests - _JacobianPoint: JacobianPoint, +} +const utils = { // utilities + normPrivateKeyToScalar: toPriv, + isValidPrivateKey: (key: Hex) => { try { return !!toPriv(key); } catch (e) { return false; } }, + randomPrivateKey: (): Bytes => hashToPrivateKey(etc.randomBytes(fLen + 16)), // FIPS 186 B.4.1. + precompute(w=8, p: Point = G) { p.multiply(3n); w; return p; }, // no-op }; - -// Make sure sync hash could only be set once. -Object.defineProperties(utils, { - sha256Sync: { - configurable: false, - get() { - return _sha256Sync; - }, - set(val) { - if (!_sha256Sync) _sha256Sync = val; - }, - }, - hmacSha256Sync: { - configurable: false, - get() { - return _hmacSha256Sync; - }, - set(val) { - if (!_hmacSha256Sync) _hmacSha256Sync = val; - }, - }, -}); +Object.defineProperties(etc, { hmacSha256Sync: { // Allow setting it once, ignore then + configurable: false, get() { return _hmacSync; }, set(f) { if (!_hmacSync) _hmacSync = f; }, +} }); +const W = 8; // Precomputes-related code. W = window size +const precompute = () => { // They give 12x faster getPublicKey(), + const points: Point[] = []; // 10x sign(), 2x verify(). To achieve this, + const windows = 256 / W + 1; // app needs to spend 40ms+ to calculate + let p = G, b = p; // a lot of points related to base point G. + for (let w = 0; w < windows; w++) { // Points are stored in array and used + b = p; // any time Gx multiplication is done. + points.push(b); // They consume 16-32 MiB of RAM. + for (let i = 1; i < 2 ** (W - 1); i++) { b = b.add(p); points.push(b); } + p = b.double(); // Precomputes don't speed-up getSharedKey, + } // which multiplies user point by scalar, + return points; // when precomputes are using base point +} +let Gpows: Point[] | undefined = undefined; // precomputes for base point G +const wNAF = (n: bigint): { p: Point; f: Point } => { // w-ary non-adjacent form (wNAF) method. + // Compared to other point mult methods, + const comp = Gpows || (Gpows = precompute()); // stores 2x less points using subtraction + const neg = (cnd: boolean, p: Point) => { let n = p.negate(); return cnd ? n : p; } // negate + let p = I, f = G; // f must be G, or could become I in the end + const windows = 1 + 256 / W; // W=8 17 windows + const wsize = 2 ** (W - 1); // W=8 128 window size + const mask = BigInt(2 ** W - 1); // W=8 will create mask 0b11111111 + const maxNum = 2 ** W; // W=8 256 + const shiftBy = BigInt(W); // W=8 8 + for (let w = 0; w < windows; w++) { + const off = w * wsize; + let wbits = Number(n & mask); // extract W bits. + n >>= shiftBy; // shift number by W bits. + if (wbits > wsize) { wbits -= maxNum; n += 1n; } // split if bits > max: +224 => 256-32 + const off1 = off, off2 = off + Math.abs(wbits) - 1; // offsets, evaluate both + const cnd1 = w % 2 !== 0, cnd2 = wbits < 0; // conditions, evaluate both + if (wbits === 0) { + f = f.add(neg(cnd1, comp[off1])); // bits are 0: add garbage to fake point + } else { // ^ can't add off2, off2 = I + p = p.add(neg(cnd2, comp[off2])); // bits are 1: add to result point + } + } + return { p, f } // return both real and fake points for JIT +}; // !! you can disable precomputes by commenting-out call of the wNAF() inside Point#mul() +export { getPublicKey, sign, signAsync, verify, CURVE, // Remove the export to easily use in REPL + getSharedSecret, etc, utils, Point as ProjectivePoint, Signature } // envs like browser console diff --git a/jsr.json b/jsr.json new file mode 100644 index 0000000..e93120a --- /dev/null +++ b/jsr.json @@ -0,0 +1,13 @@ +{ + "name": "@dashincubator/secp256k1", + "version": "2.1.0", + "exports": "./index.ts", + "publish": { + "include": [ + "LICENSE", + "README.md", + "index.ts", + "jsr.json" + ] + } +} \ No newline at end of file diff --git a/lib/esm/package.json b/lib/esm/package.json deleted file mode 100644 index e8309c4..0000000 --- a/lib/esm/package.json +++ /dev/null @@ -1,6 +0,0 @@ -{ - "type": "module", - "browser": { - "crypto": false - } -} \ No newline at end of file diff --git a/mod.ts b/mod.ts index b21f1a5..dfce175 100644 --- a/mod.ts +++ b/mod.ts @@ -1,11 +1,12 @@ // prettier-ignore import { - CURVE, Point, Signature, - getPublicKey, sign, signSync, verify, recoverPublicKey, getSharedSecret, - schnorr, utils, + CURVE, ProjectivePoint, Signature, + getPublicKey, sign, signAsync, verify, getSharedSecret, + utils, etc, } from './index.ts'; -import { HmacSha256 } from 'https://deno.land/std@0.153.0/hash/sha256.ts'; -import { crypto } from 'https://deno.land/std@0.153.0/crypto/mod.ts'; +import { hmac } from 'npm:@noble/hashes@1.2.0/hmac'; +import { sha256 } from 'npm:@noble/hashes@1.2.0/sha256'; +import { crypto } from 'https://deno.land/std@0.175.0/crypto/mod.ts'; utils.sha256 = async (...msgs: Uint8Array[]): Promise => { return new Uint8Array(await crypto.subtle.digest('SHA-256', utils.concatBytes(...msgs))); @@ -14,19 +15,13 @@ utils.sha256Sync = (...msgs: Uint8Array[]): Uint8Array => { return new Uint8Array(crypto.subtle.digestSync('SHA-256', utils.concatBytes(...msgs))); }; -function hmac(key: Uint8Array, ...messages: Uint8Array[]): Uint8Array { - const sha = new HmacSha256(key); - for (let msg of messages) sha.update(msg); - return new Uint8Array(sha.arrayBuffer()); +utils.hmacSha256Sync = function hmac(key: Uint8Array, ...messages: Uint8Array[]): Uint8Array { + return hmac(sha256, key, ...messages); } -utils.hmacSha256 = async (key: Uint8Array, ...messages: Uint8Array[]) => - Promise.resolve(hmac(key, ...messages)); -utils.hmacSha256Sync = (key: Uint8Array, ...messages: Uint8Array[]) => hmac(key, ...messages); - // prettier-ignore export { - CURVE, Point, Signature, - getPublicKey, sign, signSync, verify, recoverPublicKey, getSharedSecret, - schnorr, utils, + CURVE, ProjectivePoint, Signature, + getPublicKey, sign, signAsync, verify, getSharedSecret, + utils, etc, }; diff --git a/package-lock.json b/package-lock.json new file mode 100644 index 0000000..b4ba541 --- /dev/null +++ b/package-lock.json @@ -0,0 +1,110 @@ +{ + "name": "@dashincubator/secp256k1", + "version": "2.1.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "@dashincubator/secp256k1", + "version": "2.1.0", + "license": "MIT", + "devDependencies": { + "@noble/hashes": "1.4.0", + "@paulmillr/jsbt": "0.2.1", + "fast-check": "3.20.0", + "micro-bmark": "0.3.1", + "micro-should": "0.4.0", + "typescript": "5.5.4" + } + }, + "node_modules/@noble/hashes": { + "version": "1.4.0", + "resolved": "https://registry.npmjs.org/@noble/hashes/-/hashes-1.4.0.tgz", + "integrity": "sha512-V1JJ1WTRUqHHrOSh597hURcMqVKVGL/ea3kv0gSnEdsEZ0/+VyPghM1lMNGc00z7CIQorSvbKpuJkxvuHbvdbg==", + "dev": true, + "engines": { + "node": ">= 16" + }, + "funding": { + "url": "https://paulmillr.com/funding/" + } + }, + "node_modules/@paulmillr/jsbt": { + "version": "0.2.1", + "resolved": "https://registry.npmjs.org/@paulmillr/jsbt/-/jsbt-0.2.1.tgz", + "integrity": "sha512-4uC/Fa8L8oYjLNPKBqHKCwLv/47s/Asa4Z/rL584YvViPtlFdxBeCFX6knCZxX5gn6n+2YUdr50Q1sIuUNma5Q==", + "dev": true, + "license": "MIT", + "bin": { + "jsbt": "jsbt.js" + } + }, + "node_modules/fast-check": { + "version": "3.20.0", + "resolved": "https://registry.npmjs.org/fast-check/-/fast-check-3.20.0.tgz", + "integrity": "sha512-pZIjqLpOZgdSLecec4GKC3Zq5702MZ34upMKxojnNVSWA0K64V3pXOBT1Wdsrc3AphLtzRBbsi8bRWF4TUGmUg==", + "dev": true, + "funding": [ + { + "type": "individual", + "url": "https://github.com/sponsors/dubzzz" + }, + { + "type": "opencollective", + "url": "https://opencollective.com/fast-check" + } + ], + "license": "MIT", + "dependencies": { + "pure-rand": "^6.1.0" + }, + "engines": { + "node": ">=8.0.0" + } + }, + "node_modules/micro-bmark": { + "version": "0.3.1", + "resolved": "https://registry.npmjs.org/micro-bmark/-/micro-bmark-0.3.1.tgz", + "integrity": "sha512-bNaKObD4yPAAPrpEqp5jO6LJ2sEFgLoFSmRjEY809mJ62+2AehI/K3+RlVpN3Oo92RHpgC2RQhj6b1Tb4dmo+w==", + "dev": true, + "license": "MIT" + }, + "node_modules/micro-should": { + "version": "0.4.0", + "resolved": "https://registry.npmjs.org/micro-should/-/micro-should-0.4.0.tgz", + "integrity": "sha512-Vclj8yrngSYc9Y3dL2C+AdUlTkyx/syWc4R7LYfk4h7+icfF0DoUBGjjUIaEDzZA19RzoI+Hg8rW9IRoNGP0tQ==", + "dev": true + }, + "node_modules/pure-rand": { + "version": "6.1.0", + "resolved": "https://registry.npmjs.org/pure-rand/-/pure-rand-6.1.0.tgz", + "integrity": "sha512-bVWawvoZoBYpp6yIoQtQXHZjmz35RSVHnUOTefl8Vcjr8snTPY1wnpSPMWekcFwbxI6gtmT7rSYPFvz71ldiOA==", + "dev": true, + "funding": [ + { + "type": "individual", + "url": "https://github.com/sponsors/dubzzz" + }, + { + "type": "opencollective", + "url": "https://opencollective.com/fast-check" + } + ], + "license": "MIT" + }, + "node_modules/typescript": { + "version": "5.5.4", + "resolved": "https://registry.npmjs.org/typescript/-/typescript-5.5.4.tgz", + "integrity": "sha512-Mtq29sKDAEYP7aljRgtPOpTvOfbwRWlS6dPRzwjdE+C0R4brX/GUyhHSecbHMFLNBLcJIPt9nl9yG5TZ1weH+Q==", + "dev": true, + "license": "Apache-2.0", + "bin": { + "tsc": "bin/tsc", + "tsserver": "bin/tsserver" + }, + "engines": { + "node": ">=14.17" + } + } + } +} diff --git a/package.json b/package.json index 0df35b5..1316129 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "@dashincubator/secp256k1", - "version": "1.7.1-5", + "version": "2.1.0", "description": "Browser, Node, and bundler compatible release of @noble/secp256k1. Independently audited, high-security, 0-dependency ECDSA & Schnorr signatures", "files": [ "secp256k1.js", @@ -13,11 +13,16 @@ }, "types": "lib/index.d.ts", "scripts": { - "lint": "prettier --print-width 100 --single-quote --check index.ts", - "format": "prettier --print-width 100 --single-quote --write index.ts", - "test": "jest", - "coverage": "jest --coverage", - "bench": "node test/benchmark.js" + "noble:build": "tsc", + "noble:build:min": "cd test/build; npm install; npm run terser", + "noble:build:mingz": "npm run --silent build:min | gzip -c8", + "noble:build:release": "npm run --silent build:min > test/build/noble-secp256k1.min.js; npm run --silent build:mingz > test/build/noble-secp256k1.min.js.gz", + "test": "node test/index.test.mjs", + "test:webcrypto": "node test/secp256k1.webcrypto.test.mjs", + "noble:loc": "echo \"`npm run --silent build:min | wc -c` symbols `wc -l < index.ts` LOC, `npm run --silent build:mingz | wc -c`B gzipped\"", + "lint": "npx prettier --print-width 100 --single-quote --check secp256k1.js", + "format": "npx prettier --print-width 100 --single-quote --write secp256k1.js", + "bench": "node test/benchmark.mjs" }, "author": "Paul Miller (https://paulmillr.com)", "homepage": "https://paulmillr.com/noble/", @@ -27,39 +32,33 @@ }, "license": "MIT", "devDependencies": { - "@noble/hashes": "1.1.2", - "@rollup/plugin-commonjs": "22.0.0", - "@rollup/plugin-node-resolve": "13.3.0", - "@types/jest": "28.1.1", - "@types/node": "17.0.18", - "fast-check": "3.0.0", - "jest": "28.1.0", - "micro-bmark": "0.2.0", - "prettier": "2.6.2", - "rollup": "2.75.5", - "ts-jest": "28.0.4", - "typescript": "4.7.3" + "@noble/hashes": "1.4.0", + "@paulmillr/jsbt": "0.2.1", + "fast-check": "3.20.0", + "micro-bmark": "0.3.1", + "micro-should": "0.4.0", + "typescript": "5.5.4" }, "keywords": [ "secp256k1", - "secp", - "secp256", - "elliptic", - "elliptic curve", - "curve", - "signature", - "ecc", "rfc6979", - "schnorr", - "sig", - "bip0340", - "bip340", + "signature", "ecdsa", - "endomorphism", + "noble", "cryptography", - "security", - "noble" + "elliptic curve", + "ecc", + "curve", + "schnorr", + "bitcoin", + "ethereum" ], + "exports": { + ".": { + "types": "./index.d.ts", + "default": "./secp256k1.js" + } + }, "jest": { "testRegex": "/test/.*?\\.ts", "transform": { diff --git a/rollup.config.js b/rollup.config.js deleted file mode 100644 index a8119a5..0000000 --- a/rollup.config.js +++ /dev/null @@ -1,13 +0,0 @@ -import resolve from '@rollup/plugin-node-resolve'; - -export default { - input: 'lib/esm/index.js', - output: { - file: 'build/noble-secp256k1.js', - format: 'umd', - name: 'nobleSecp256k1', - exports: 'named', - preferConst: true, - }, - plugins: [resolve({ browser: true })], -}; diff --git a/secp256k1.js b/secp256k1.js index 682d2ed..7ddde98 100644 --- a/secp256k1.js +++ b/secp256k1.js @@ -1,1220 +1,594 @@ (function (global, factory) { - typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : - typeof define === 'function' && define.amd ? define(['exports'], factory) : - (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.nobleSecp256k1 = {})); -})(this, (function (exports) { 'use strict'; + typeof exports === 'object' && typeof module !== 'undefined' + ? factory(exports) + : typeof define === 'function' && define.amd + ? define(['exports'], factory) + : ((global = typeof globalThis !== 'undefined' ? globalThis : global || self), + factory((global.nobleSecp256k1 = {}))); +})(this, function (exports) { + 'use strict'; - const _nodeResolve_empty = {}; - - const nodeCrypto = /*#__PURE__*/Object.freeze({ - __proto__: null, - 'default': _nodeResolve_empty - }); - - /*! noble-secp256k1 - MIT License (c) 2019 Paul Miller (paulmillr.com) */ - const _0n = BigInt(0); - const _1n = BigInt(1); - const _2n = BigInt(2); - const _3n = BigInt(3); - const _8n = BigInt(8); - const CURVE = Object.freeze({ - a: _0n, - b: BigInt(7), - P: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f'), - n: BigInt('0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'), - h: _1n, - Gx: BigInt('55066263022277343669578718895168534326250603453777594175500187360389116729240'), - Gy: BigInt('32670510020758816978083085130507043184471273380659243275938904335757337482424'), - beta: BigInt('0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee'), - }); - function weistrass(x) { - const { a, b } = CURVE; - const x2 = mod(x * x); - const x3 = mod(x2 * x); - return mod(x3 + a * x + b); - } - const USE_ENDOMORPHISM = CURVE.a === _0n; - class ShaError extends Error { - constructor(message) { - super(message); - } - } - class JacobianPoint { - constructor(x, y, z) { - this.x = x; - this.y = y; - this.z = z; - } - static fromAffine(p) { - if (!(p instanceof Point)) { - throw new TypeError('JacobianPoint#fromAffine: expected Point'); - } - return new JacobianPoint(p.x, p.y, _1n); - } - static toAffineBatch(points) { - const toInv = invertBatch(points.map((p) => p.z)); - return points.map((p, i) => p.toAffine(toInv[i])); - } - static normalizeZ(points) { - return JacobianPoint.toAffineBatch(points).map(JacobianPoint.fromAffine); - } - equals(other) { - if (!(other instanceof JacobianPoint)) - throw new TypeError('JacobianPoint expected'); - const { x: X1, y: Y1, z: Z1 } = this; - const { x: X2, y: Y2, z: Z2 } = other; - const Z1Z1 = mod(Z1 * Z1); - const Z2Z2 = mod(Z2 * Z2); - const U1 = mod(X1 * Z2Z2); - const U2 = mod(X2 * Z1Z1); - const S1 = mod(mod(Y1 * Z2) * Z2Z2); - const S2 = mod(mod(Y2 * Z1) * Z1Z1); - return U1 === U2 && S1 === S2; - } - negate() { - return new JacobianPoint(this.x, mod(-this.y), this.z); - } - double() { - const { x: X1, y: Y1, z: Z1 } = this; - const A = mod(X1 * X1); - const B = mod(Y1 * Y1); - const C = mod(B * B); - const x1b = X1 + B; - const D = mod(_2n * (mod(x1b * x1b) - A - C)); - const E = mod(_3n * A); - const F = mod(E * E); - const X3 = mod(F - _2n * D); - const Y3 = mod(E * (D - X3) - _8n * C); - const Z3 = mod(_2n * Y1 * Z1); - return new JacobianPoint(X3, Y3, Z3); - } - add(other) { - if (!(other instanceof JacobianPoint)) - throw new TypeError('JacobianPoint expected'); - const { x: X1, y: Y1, z: Z1 } = this; - const { x: X2, y: Y2, z: Z2 } = other; - if (X2 === _0n || Y2 === _0n) - return this; - if (X1 === _0n || Y1 === _0n) - return other; - const Z1Z1 = mod(Z1 * Z1); - const Z2Z2 = mod(Z2 * Z2); - const U1 = mod(X1 * Z2Z2); - const U2 = mod(X2 * Z1Z1); - const S1 = mod(mod(Y1 * Z2) * Z2Z2); - const S2 = mod(mod(Y2 * Z1) * Z1Z1); - const H = mod(U2 - U1); - const r = mod(S2 - S1); - if (H === _0n) { - if (r === _0n) { - return this.double(); - } - else { - return JacobianPoint.ZERO; - } - } - const HH = mod(H * H); - const HHH = mod(H * HH); - const V = mod(U1 * HH); - const X3 = mod(r * r - HHH - _2n * V); - const Y3 = mod(r * (V - X3) - S1 * HHH); - const Z3 = mod(Z1 * Z2 * H); - return new JacobianPoint(X3, Y3, Z3); - } - subtract(other) { - return this.add(other.negate()); - } - multiplyUnsafe(scalar) { - const P0 = JacobianPoint.ZERO; - if (typeof scalar === 'bigint' && scalar === _0n) - return P0; - let n = normalizeScalar(scalar); - if (n === _1n) - return this; - if (!USE_ENDOMORPHISM) { - let p = P0; - let d = this; - while (n > _0n) { - if (n & _1n) - p = p.add(d); - d = d.double(); - n >>= _1n; - } - return p; - } - let { k1neg, k1, k2neg, k2 } = splitScalarEndo(n); - let k1p = P0; - let k2p = P0; - let d = this; - while (k1 > _0n || k2 > _0n) { - if (k1 & _1n) - k1p = k1p.add(d); - if (k2 & _1n) - k2p = k2p.add(d); - d = d.double(); - k1 >>= _1n; - k2 >>= _1n; - } - if (k1neg) - k1p = k1p.negate(); - if (k2neg) - k2p = k2p.negate(); - k2p = new JacobianPoint(mod(k2p.x * CURVE.beta), k2p.y, k2p.z); - return k1p.add(k2p); - } - precomputeWindow(W) { - const windows = USE_ENDOMORPHISM ? 128 / W + 1 : 256 / W + 1; - const points = []; - let p = this; - let base = p; - for (let window = 0; window < windows; window++) { - base = p; - points.push(base); - for (let i = 1; i < 2 ** (W - 1); i++) { - base = base.add(p); - points.push(base); - } - p = base.double(); - } - return points; - } - wNAF(n, affinePoint) { - if (!affinePoint && this.equals(JacobianPoint.BASE)) - affinePoint = Point.BASE; - const W = (affinePoint && affinePoint._WINDOW_SIZE) || 1; - if (256 % W) { - throw new Error('Point#wNAF: Invalid precomputation window, must be power of 2'); - } - let precomputes = affinePoint && pointPrecomputes.get(affinePoint); - if (!precomputes) { - precomputes = this.precomputeWindow(W); - if (affinePoint && W !== 1) { - precomputes = JacobianPoint.normalizeZ(precomputes); - pointPrecomputes.set(affinePoint, precomputes); - } - } - let p = JacobianPoint.ZERO; - let f = JacobianPoint.ZERO; - const windows = 1 + (USE_ENDOMORPHISM ? 128 / W : 256 / W); - const windowSize = 2 ** (W - 1); - const mask = BigInt(2 ** W - 1); - const maxNumber = 2 ** W; - const shiftBy = BigInt(W); - for (let window = 0; window < windows; window++) { - const offset = window * windowSize; - let wbits = Number(n & mask); - n >>= shiftBy; - if (wbits > windowSize) { - wbits -= maxNumber; - n += _1n; - } - if (wbits === 0) { - let pr = precomputes[offset]; - if (window % 2) - pr = pr.negate(); - f = f.add(pr); - } - else { - let cached = precomputes[offset + Math.abs(wbits) - 1]; - if (wbits < 0) - cached = cached.negate(); - p = p.add(cached); - } - } - return { p, f }; - } - multiply(scalar, affinePoint) { - let n = normalizeScalar(scalar); - let point; - let fake; - if (USE_ENDOMORPHISM) { - const { k1neg, k1, k2neg, k2 } = splitScalarEndo(n); - let { p: k1p, f: f1p } = this.wNAF(k1, affinePoint); - let { p: k2p, f: f2p } = this.wNAF(k2, affinePoint); - if (k1neg) - k1p = k1p.negate(); - if (k2neg) - k2p = k2p.negate(); - k2p = new JacobianPoint(mod(k2p.x * CURVE.beta), k2p.y, k2p.z); - point = k1p.add(k2p); - fake = f1p.add(f2p); - } - else { - const { p, f } = this.wNAF(n, affinePoint); - point = p; - fake = f; - } - return JacobianPoint.normalizeZ([point, fake])[0]; - } - toAffine(invZ = invert(this.z)) { - const { x, y, z } = this; - const iz1 = invZ; - const iz2 = mod(iz1 * iz1); - const iz3 = mod(iz2 * iz1); - const ax = mod(x * iz2); - const ay = mod(y * iz3); - const zz = mod(z * iz1); - if (zz !== _1n) - throw new Error('invZ was invalid'); - return new Point(ax, ay); - } - } - JacobianPoint.BASE = new JacobianPoint(CURVE.Gx, CURVE.Gy, _1n); - JacobianPoint.ZERO = new JacobianPoint(_0n, _1n, _0n); - const pointPrecomputes = new WeakMap(); - class Point { - constructor(x, y) { - this.x = x; - this.y = y; - } - _setWindowSize(windowSize) { - this._WINDOW_SIZE = windowSize; - pointPrecomputes.delete(this); - } - hasEvenY() { - return this.y % _2n === _0n; - } - static fromCompressedHex(bytes) { - const isShort = bytes.length === 32; - const x = bytesToNumber(isShort ? bytes : bytes.subarray(1)); - if (!isValidFieldElement(x)) - throw new Error('Point is not on curve'); - const y2 = weistrass(x); - let y = sqrtMod(y2); - const isYOdd = (y & _1n) === _1n; - if (isShort) { - if (isYOdd) - y = mod(-y); - } - else { - const isFirstByteOdd = (bytes[0] & 1) === 1; - if (isFirstByteOdd !== isYOdd) - y = mod(-y); - } - const point = new Point(x, y); - point.assertValidity(); - return point; - } - static fromUncompressedHex(bytes) { - const x = bytesToNumber(bytes.subarray(1, 33)); - const y = bytesToNumber(bytes.subarray(33, 65)); - const point = new Point(x, y); - point.assertValidity(); - return point; - } - static fromHex(hex) { - const bytes = ensureBytes(hex); - const len = bytes.length; - const header = bytes[0]; - if (len === 32 || (len === 33 && (header === 0x02 || header === 0x03))) { - return this.fromCompressedHex(bytes); - } - if (len === 65 && header === 0x04) - return this.fromUncompressedHex(bytes); - throw new Error(`Point.fromHex: received invalid point. Expected 32-33 compressed bytes or 65 uncompressed bytes, not ${len}`); - } - static fromPrivateKey(privateKey) { - return Point.BASE.multiply(normalizePrivateKey(privateKey)); - } - static fromSignature(msgHash, signature, recovery) { - msgHash = ensureBytes(msgHash); - const h = truncateHash(msgHash); - const { r, s } = normalizeSignature(signature); - if (recovery !== 0 && recovery !== 1) { - throw new Error('Cannot recover signature: invalid recovery bit'); - } - const prefix = recovery & 1 ? '03' : '02'; - const R = Point.fromHex(prefix + numTo32bStr(r)); - const { n } = CURVE; - const rinv = invert(r, n); - const u1 = mod(-h * rinv, n); - const u2 = mod(s * rinv, n); - const Q = Point.BASE.multiplyAndAddUnsafe(R, u1, u2); - if (!Q) - throw new Error('Cannot recover signature: point at infinify'); - Q.assertValidity(); - return Q; - } - toRawBytes(isCompressed = false) { - return hexToBytes(this.toHex(isCompressed)); - } - toHex(isCompressed = false) { - const x = numTo32bStr(this.x); - if (isCompressed) { - const prefix = this.hasEvenY() ? '02' : '03'; - return `${prefix}${x}`; - } - else { - return `04${x}${numTo32bStr(this.y)}`; - } - } - toHexX() { - return this.toHex(true).slice(2); - } - toRawX() { - return this.toRawBytes(true).slice(1); - } - assertValidity() { - const msg = 'Point is not on elliptic curve'; - const { x, y } = this; - if (!isValidFieldElement(x) || !isValidFieldElement(y)) - throw new Error(msg); - const left = mod(y * y); - const right = weistrass(x); - if (mod(left - right) !== _0n) - throw new Error(msg); - } - equals(other) { - return this.x === other.x && this.y === other.y; - } - negate() { - return new Point(this.x, mod(-this.y)); - } - double() { - return JacobianPoint.fromAffine(this).double().toAffine(); - } - add(other) { - return JacobianPoint.fromAffine(this).add(JacobianPoint.fromAffine(other)).toAffine(); - } - subtract(other) { - return this.add(other.negate()); - } - multiply(scalar) { - return JacobianPoint.fromAffine(this).multiply(scalar, this).toAffine(); - } - multiplyAndAddUnsafe(Q, a, b) { - const P = JacobianPoint.fromAffine(this); - const aP = a === _0n || a === _1n || this !== Point.BASE ? P.multiplyUnsafe(a) : P.multiply(a); - const bQ = JacobianPoint.fromAffine(Q).multiplyUnsafe(b); - const sum = aP.add(bQ); - return sum.equals(JacobianPoint.ZERO) ? undefined : sum.toAffine(); - } - } - Point.BASE = new Point(CURVE.Gx, CURVE.Gy); - Point.ZERO = new Point(_0n, _0n); - function sliceDER(s) { - return Number.parseInt(s[0], 16) >= 8 ? '00' + s : s; - } - function parseDERInt(data) { - if (data.length < 2 || data[0] !== 0x02) { - throw new Error(`Invalid signature integer tag: ${bytesToHex(data)}`); - } - const len = data[1]; - const res = data.subarray(2, len + 2); - if (!len || res.length !== len) { - throw new Error(`Invalid signature integer: wrong length`); - } - if (res[0] === 0x00 && res[1] <= 0x7f) { - throw new Error('Invalid signature integer: trailing length'); - } - return { data: bytesToNumber(res), left: data.subarray(len + 2) }; - } - function parseDERSignature(data) { - if (data.length < 2 || data[0] != 0x30) { - throw new Error(`Invalid signature tag: ${bytesToHex(data)}`); - } - if (data[1] !== data.length - 2) { - throw new Error('Invalid signature: incorrect length'); - } - const { data: r, left: sBytes } = parseDERInt(data.subarray(2)); - const { data: s, left: rBytesLeft } = parseDERInt(sBytes); - if (rBytesLeft.length) { - throw new Error(`Invalid signature: left bytes after parsing: ${bytesToHex(rBytesLeft)}`); - } - return { r, s }; - } - class Signature { - constructor(r, s) { - this.r = r; - this.s = s; - this.assertValidity(); - } - static fromCompact(hex) { - const arr = hex instanceof Uint8Array; - const name = 'Signature.fromCompact'; - if (typeof hex !== 'string' && !arr) - throw new TypeError(`${name}: Expected string or Uint8Array`); - const str = arr ? bytesToHex(hex) : hex; - if (str.length !== 128) - throw new Error(`${name}: Expected 64-byte hex`); - return new Signature(hexToNumber(str.slice(0, 64)), hexToNumber(str.slice(64, 128))); - } - static fromDER(hex) { - const arr = hex instanceof Uint8Array; - if (typeof hex !== 'string' && !arr) - throw new TypeError(`Signature.fromDER: Expected string or Uint8Array`); - const { r, s } = parseDERSignature(arr ? hex : hexToBytes(hex)); - return new Signature(r, s); - } - static fromHex(hex) { - return this.fromDER(hex); - } - assertValidity() { - const { r, s } = this; - if (!isWithinCurveOrder(r)) - throw new Error('Invalid Signature: r must be 0 < r < n'); - if (!isWithinCurveOrder(s)) - throw new Error('Invalid Signature: s must be 0 < s < n'); - } - hasHighS() { - const HALF = CURVE.n >> _1n; - return this.s > HALF; - } - normalizeS() { - return this.hasHighS() ? new Signature(this.r, CURVE.n - this.s) : this; - } - toDERRawBytes(isCompressed = false) { - return hexToBytes(this.toDERHex(isCompressed)); - } - toDERHex(isCompressed = false) { - const sHex = sliceDER(numberToHexUnpadded(this.s)); - if (isCompressed) - return sHex; - const rHex = sliceDER(numberToHexUnpadded(this.r)); - const rLen = numberToHexUnpadded(rHex.length / 2); - const sLen = numberToHexUnpadded(sHex.length / 2); - const length = numberToHexUnpadded(rHex.length / 2 + sHex.length / 2 + 4); - return `30${length}02${rLen}${rHex}02${sLen}${sHex}`; - } - toRawBytes() { - return this.toDERRawBytes(); - } - toHex() { - return this.toDERHex(); - } - toCompactRawBytes() { - return hexToBytes(this.toCompactHex()); - } - toCompactHex() { - return numTo32bStr(this.r) + numTo32bStr(this.s); - } - } - function concatBytes(...arrays) { - if (!arrays.every((b) => b instanceof Uint8Array)) - throw new Error('Uint8Array list expected'); - if (arrays.length === 1) - return arrays[0]; - const length = arrays.reduce((a, arr) => a + arr.length, 0); - const result = new Uint8Array(length); - for (let i = 0, pad = 0; i < arrays.length; i++) { - const arr = arrays[i]; - result.set(arr, pad); - pad += arr.length; - } - return result; - } - const hexes = Array.from({ length: 256 }, (v, i) => i.toString(16).padStart(2, '0')); - function bytesToHex(uint8a) { - if (!(uint8a instanceof Uint8Array)) - throw new Error('Expected Uint8Array'); - let hex = ''; - for (let i = 0; i < uint8a.length; i++) { - hex += hexes[uint8a[i]]; - } - return hex; - } - const POW_2_256 = BigInt('0x10000000000000000000000000000000000000000000000000000000000000000'); - function numTo32bStr(num) { - if (typeof num !== 'bigint') - throw new Error('Expected bigint'); - if (!(_0n <= num && num < POW_2_256)) - throw new Error('Expected number < 2^256'); - return num.toString(16).padStart(64, '0'); - } - function numTo32b(num) { - const b = hexToBytes(numTo32bStr(num)); - if (b.length !== 32) - throw new Error('Error: expected 32 bytes'); - return b; - } - function numberToHexUnpadded(num) { - const hex = num.toString(16); - return hex.length & 1 ? `0${hex}` : hex; - } - function hexToNumber(hex) { - if (typeof hex !== 'string') { - throw new TypeError('hexToNumber: expected string, got ' + typeof hex); - } - return BigInt(`0x${hex}`); - } - function hexToBytes(hex) { - if (typeof hex !== 'string') { - throw new TypeError('hexToBytes: expected string, got ' + typeof hex); - } - if (hex.length % 2) - throw new Error('hexToBytes: received invalid unpadded hex' + hex.length); - const array = new Uint8Array(hex.length / 2); - for (let i = 0; i < array.length; i++) { - const j = i * 2; - const hexByte = hex.slice(j, j + 2); - const byte = Number.parseInt(hexByte, 16); - if (Number.isNaN(byte) || byte < 0) - throw new Error('Invalid byte sequence'); - array[i] = byte; - } - return array; - } - function bytesToNumber(bytes) { - return hexToNumber(bytesToHex(bytes)); - } - function ensureBytes(hex) { - return hex instanceof Uint8Array ? Uint8Array.from(hex) : hexToBytes(hex); - } - function normalizeScalar(num) { - if (typeof num === 'number' && Number.isSafeInteger(num) && num > 0) - return BigInt(num); - if (typeof num === 'bigint' && isWithinCurveOrder(num)) - return num; - throw new TypeError('Expected valid private scalar: 0 < scalar < curve.n'); - } - function mod(a, b = CURVE.P) { - const result = a % b; - return result >= _0n ? result : b + result; - } - function pow2(x, power) { - const { P } = CURVE; - let res = x; - while (power-- > _0n) { - res *= res; - res %= P; - } - return res; - } - function sqrtMod(x) { - const { P } = CURVE; - const _6n = BigInt(6); - const _11n = BigInt(11); - const _22n = BigInt(22); - const _23n = BigInt(23); - const _44n = BigInt(44); - const _88n = BigInt(88); - const b2 = (x * x * x) % P; - const b3 = (b2 * b2 * x) % P; - const b6 = (pow2(b3, _3n) * b3) % P; - const b9 = (pow2(b6, _3n) * b3) % P; - const b11 = (pow2(b9, _2n) * b2) % P; - const b22 = (pow2(b11, _11n) * b11) % P; - const b44 = (pow2(b22, _22n) * b22) % P; - const b88 = (pow2(b44, _44n) * b44) % P; - const b176 = (pow2(b88, _88n) * b88) % P; - const b220 = (pow2(b176, _44n) * b44) % P; - const b223 = (pow2(b220, _3n) * b3) % P; - const t1 = (pow2(b223, _23n) * b22) % P; - const t2 = (pow2(t1, _6n) * b2) % P; - return pow2(t2, _2n); - } - function invert(number, modulo = CURVE.P) { - if (number === _0n || modulo <= _0n) { - throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`); - } - let a = mod(number, modulo); - let b = modulo; - let x = _0n, u = _1n; - while (a !== _0n) { - const q = b / a; - const r = b % a; - const m = x - u * q; - b = a, a = r, x = u, u = m; - } - const gcd = b; - if (gcd !== _1n) - throw new Error('invert: does not exist'); - return mod(x, modulo); - } - function invertBatch(nums, p = CURVE.P) { - const scratch = new Array(nums.length); - const lastMultiplied = nums.reduce((acc, num, i) => { - if (num === _0n) - return acc; - scratch[i] = acc; - return mod(acc * num, p); - }, _1n); - const inverted = invert(lastMultiplied, p); - nums.reduceRight((acc, num, i) => { - if (num === _0n) - return acc; - scratch[i] = mod(acc * scratch[i], p); - return mod(acc * num, p); - }, inverted); - return scratch; - } - const divNearest = (a, b) => (a + b / _2n) / b; - const ENDO = { - a1: BigInt('0x3086d221a7d46bcde86c90e49284eb15'), - b1: -_1n * BigInt('0xe4437ed6010e88286f547fa90abfe4c3'), - a2: BigInt('0x114ca50f7a8e2f3f657c1108d9d44cfd8'), - b2: BigInt('0x3086d221a7d46bcde86c90e49284eb15'), - POW_2_128: BigInt('0x100000000000000000000000000000000'), - }; - function splitScalarEndo(k) { - const { n } = CURVE; - const { a1, b1, a2, b2, POW_2_128 } = ENDO; - const c1 = divNearest(b2 * k, n); - const c2 = divNearest(-b1 * k, n); - let k1 = mod(k - c1 * a1 - c2 * a2, n); - let k2 = mod(-c1 * b1 - c2 * b2, n); - const k1neg = k1 > POW_2_128; - const k2neg = k2 > POW_2_128; - if (k1neg) - k1 = n - k1; - if (k2neg) - k2 = n - k2; - if (k1 > POW_2_128 || k2 > POW_2_128) { - throw new Error('splitScalarEndo: Endomorphism failed, k=' + k); - } - return { k1neg, k1, k2neg, k2 }; - } - function truncateHash(hash) { - const { n } = CURVE; - const byteLength = hash.length; - const delta = byteLength * 8 - 256; - let h = bytesToNumber(hash); - if (delta > 0) - h = h >> BigInt(delta); - if (h >= n) - h -= n; - return h; - } - let _sha256Sync; - let _hmacSha256Sync; - class HmacDrbg { - constructor() { - this.v = new Uint8Array(32).fill(1); - this.k = new Uint8Array(32).fill(0); - this.counter = 0; - } - hmac(...values) { - return utils.hmacSha256(this.k, ...values); - } - hmacSync(...values) { - return _hmacSha256Sync(this.k, ...values); - } - checkSync() { - if (typeof _hmacSha256Sync !== 'function') - throw new ShaError('hmacSha256Sync needs to be set'); - } - incr() { - if (this.counter >= 1000) - throw new Error('Tried 1,000 k values for sign(), all were invalid'); - this.counter += 1; - } - async reseed(seed = new Uint8Array()) { - this.k = await this.hmac(this.v, Uint8Array.from([0x00]), seed); - this.v = await this.hmac(this.v); - if (seed.length === 0) - return; - this.k = await this.hmac(this.v, Uint8Array.from([0x01]), seed); - this.v = await this.hmac(this.v); - } - reseedSync(seed = new Uint8Array()) { - this.checkSync(); - this.k = this.hmacSync(this.v, Uint8Array.from([0x00]), seed); - this.v = this.hmacSync(this.v); - if (seed.length === 0) - return; - this.k = this.hmacSync(this.v, Uint8Array.from([0x01]), seed); - this.v = this.hmacSync(this.v); - } - async generate() { - this.incr(); - this.v = await this.hmac(this.v); - return this.v; - } - generateSync() { - this.checkSync(); - this.incr(); - this.v = this.hmacSync(this.v); - return this.v; - } - } - function isWithinCurveOrder(num) { - return _0n < num && num < CURVE.n; - } - function isValidFieldElement(num) { - return _0n < num && num < CURVE.P; - } - function kmdToSig(kBytes, m, d) { - const k = bytesToNumber(kBytes); - if (!isWithinCurveOrder(k)) - return; - const { n } = CURVE; - const q = Point.BASE.multiply(k); - const r = mod(q.x, n); - if (r === _0n) - return; - const s = mod(invert(k, n) * mod(m + d * r, n), n); - if (s === _0n) - return; - const sig = new Signature(r, s); - const recovery = (q.x === sig.r ? 0 : 2) | Number(q.y & _1n); - return { sig, recovery }; - } - function normalizePrivateKey(key) { - let num; - if (typeof key === 'bigint') { - num = key; - } - else if (typeof key === 'number' && Number.isSafeInteger(key) && key > 0) { - num = BigInt(key); - } - else if (typeof key === 'string') { - if (key.length !== 64) - throw new Error('Expected 32 bytes of private key'); - num = hexToNumber(key); - } - else if (key instanceof Uint8Array) { - if (key.length !== 32) - throw new Error('Expected 32 bytes of private key'); - num = bytesToNumber(key); - } - else { - throw new TypeError('Expected valid private key'); - } - if (!isWithinCurveOrder(num)) - throw new Error('Expected private key: 0 < key < n'); - return num; - } - function normalizePublicKey(publicKey) { - if (publicKey instanceof Point) { - publicKey.assertValidity(); - return publicKey; - } - else { - return Point.fromHex(publicKey); - } - } - function normalizeSignature(signature) { - if (signature instanceof Signature) { - signature.assertValidity(); - return signature; - } - try { - return Signature.fromDER(signature); - } - catch (error) { - return Signature.fromCompact(signature); - } - } - function getPublicKey(privateKey, isCompressed = false) { - return Point.fromPrivateKey(privateKey).toRawBytes(isCompressed); - } - function recoverPublicKey(msgHash, signature, recovery, isCompressed = false) { - return Point.fromSignature(msgHash, signature, recovery).toRawBytes(isCompressed); - } - function isProbPub(item) { - const arr = item instanceof Uint8Array; - const str = typeof item === 'string'; - const len = (arr || str) && item.length; - if (arr) - return len === 33 || len === 65; - if (str) - return len === 66 || len === 130; - if (item instanceof Point) - return true; - return false; - } - function getSharedSecret(privateA, publicB, isCompressed = false) { - if (isProbPub(privateA)) - throw new TypeError('getSharedSecret: first arg must be private key'); - if (!isProbPub(publicB)) - throw new TypeError('getSharedSecret: second arg must be public key'); - const b = normalizePublicKey(publicB); - b.assertValidity(); - return b.multiply(normalizePrivateKey(privateA)).toRawBytes(isCompressed); - } - function bits2int(bytes) { - const slice = bytes.length > 32 ? bytes.slice(0, 32) : bytes; - return bytesToNumber(slice); - } - function bits2octets(bytes) { - const z1 = bits2int(bytes); - const z2 = mod(z1, CURVE.n); - return int2octets(z2 < _0n ? z1 : z2); - } - function int2octets(num) { - return numTo32b(num); - } - function initSigArgs(msgHash, privateKey, extraEntropy) { - if (msgHash == null) - throw new Error(`sign: expected valid message hash, not "${msgHash}"`); - const h1 = ensureBytes(msgHash); - const d = normalizePrivateKey(privateKey); - const seedArgs = [int2octets(d), bits2octets(h1)]; - if (extraEntropy != null) { - if (extraEntropy === true) - extraEntropy = utils.randomBytes(32); - const e = ensureBytes(extraEntropy); - if (e.length !== 32) - throw new Error('sign: Expected 32 bytes of extra data'); - seedArgs.push(e); - } - const seed = concatBytes(...seedArgs); - const m = bits2int(h1); - return { seed, m, d }; - } - function finalizeSig(recSig, opts) { - let { sig, recovery } = recSig; - const { canonical, der, recovered } = Object.assign({ canonical: true, der: true }, opts); - if (canonical && sig.hasHighS()) { - sig = sig.normalizeS(); - recovery ^= 1; - } - const hashed = der ? sig.toDERRawBytes() : sig.toCompactRawBytes(); - return recovered ? [hashed, recovery] : hashed; - } - async function sign(msgHash, privKey, opts = {}) { - const { seed, m, d } = initSigArgs(msgHash, privKey, opts.extraEntropy); - let sig; - const drbg = new HmacDrbg(); - await drbg.reseed(seed); - while (!(sig = kmdToSig(await drbg.generate(), m, d))) - await drbg.reseed(); - return finalizeSig(sig, opts); - } - function signSync(msgHash, privKey, opts = {}) { - const { seed, m, d } = initSigArgs(msgHash, privKey, opts.extraEntropy); - let sig; - const drbg = new HmacDrbg(); - drbg.reseedSync(seed); - while (!(sig = kmdToSig(drbg.generateSync(), m, d))) - drbg.reseedSync(); - return finalizeSig(sig, opts); - } - const vopts = { strict: true }; - function verify(signature, msgHash, publicKey, opts = vopts) { - let sig; - try { - sig = normalizeSignature(signature); - msgHash = ensureBytes(msgHash); - } - catch (error) { - return false; - } - const { r, s } = sig; - if (opts.strict && sig.hasHighS()) - return false; - const h = truncateHash(msgHash); - let P; - try { - P = normalizePublicKey(publicKey); - } - catch (error) { - return false; - } - const { n } = CURVE; - const sinv = invert(s, n); - const u1 = mod(h * sinv, n); - const u2 = mod(r * sinv, n); - const R = Point.BASE.multiplyAndAddUnsafe(P, u1, u2); - if (!R) - return false; - const v = mod(R.x, n); - return v === r; - } - function schnorrChallengeFinalize(ch) { - return mod(bytesToNumber(ch), CURVE.n); - } - class SchnorrSignature { - constructor(r, s) { - this.r = r; - this.s = s; - this.assertValidity(); - } - static fromHex(hex) { - const bytes = ensureBytes(hex); - if (bytes.length !== 64) - throw new TypeError(`SchnorrSignature.fromHex: expected 64 bytes, not ${bytes.length}`); - const r = bytesToNumber(bytes.subarray(0, 32)); - const s = bytesToNumber(bytes.subarray(32, 64)); - return new SchnorrSignature(r, s); - } - assertValidity() { - const { r, s } = this; - if (!isValidFieldElement(r) || !isWithinCurveOrder(s)) - throw new Error('Invalid signature'); - } - toHex() { - return numTo32bStr(this.r) + numTo32bStr(this.s); - } - toRawBytes() { - return hexToBytes(this.toHex()); - } - } - function schnorrGetPublicKey(privateKey) { - return Point.fromPrivateKey(privateKey).toRawX(); - } - class InternalSchnorrSignature { - constructor(message, privateKey, auxRand = utils.randomBytes()) { - if (message == null) - throw new TypeError(`sign: Expected valid message, not "${message}"`); - this.m = ensureBytes(message); - const { x, scalar } = this.getScalar(normalizePrivateKey(privateKey)); - this.px = x; - this.d = scalar; - this.rand = ensureBytes(auxRand); - if (this.rand.length !== 32) - throw new TypeError('sign: Expected 32 bytes of aux randomness'); - } - getScalar(priv) { - const point = Point.fromPrivateKey(priv); - const scalar = point.hasEvenY() ? priv : CURVE.n - priv; - return { point, scalar, x: point.toRawX() }; - } - initNonce(d, t0h) { - return numTo32b(d ^ bytesToNumber(t0h)); - } - finalizeNonce(k0h) { - const k0 = mod(bytesToNumber(k0h), CURVE.n); - if (k0 === _0n) - throw new Error('sign: Creation of signature failed. k is zero'); - const { point: R, x: rx, scalar: k } = this.getScalar(k0); - return { R, rx, k }; - } - finalizeSig(R, k, e, d) { - return new SchnorrSignature(R.x, mod(k + e * d, CURVE.n)).toRawBytes(); - } - error() { - throw new Error('sign: Invalid signature produced'); - } - async calc() { - const { m, d, px, rand } = this; - const tag = utils.taggedHash; - const t = this.initNonce(d, await tag(TAGS.aux, rand)); - const { R, rx, k } = this.finalizeNonce(await tag(TAGS.nonce, t, px, m)); - const e = schnorrChallengeFinalize(await tag(TAGS.challenge, rx, px, m)); - const sig = this.finalizeSig(R, k, e, d); - if (!(await schnorrVerify(sig, m, px))) - this.error(); - return sig; - } - calcSync() { - const { m, d, px, rand } = this; - const tag = utils.taggedHashSync; - const t = this.initNonce(d, tag(TAGS.aux, rand)); - const { R, rx, k } = this.finalizeNonce(tag(TAGS.nonce, t, px, m)); - const e = schnorrChallengeFinalize(tag(TAGS.challenge, rx, px, m)); - const sig = this.finalizeSig(R, k, e, d); - if (!schnorrVerifySync(sig, m, px)) - this.error(); - return sig; - } - } - async function schnorrSign(msg, privKey, auxRand) { - return new InternalSchnorrSignature(msg, privKey, auxRand).calc(); - } - function schnorrSignSync(msg, privKey, auxRand) { - return new InternalSchnorrSignature(msg, privKey, auxRand).calcSync(); - } - function initSchnorrVerify(signature, message, publicKey) { - const raw = signature instanceof SchnorrSignature; - const sig = raw ? signature : SchnorrSignature.fromHex(signature); - if (raw) - sig.assertValidity(); - return { - ...sig, - m: ensureBytes(message), - P: normalizePublicKey(publicKey), - }; - } - function finalizeSchnorrVerify(r, P, s, e) { - const R = Point.BASE.multiplyAndAddUnsafe(P, normalizePrivateKey(s), mod(-e, CURVE.n)); - if (!R || !R.hasEvenY() || R.x !== r) - return false; - return true; - } - async function schnorrVerify(signature, message, publicKey) { - try { - const { r, s, m, P } = initSchnorrVerify(signature, message, publicKey); - const e = schnorrChallengeFinalize(await utils.taggedHash(TAGS.challenge, numTo32b(r), P.toRawX(), m)); - return finalizeSchnorrVerify(r, P, s, e); - } - catch (error) { - return false; - } - } - function schnorrVerifySync(signature, message, publicKey) { - try { - const { r, s, m, P } = initSchnorrVerify(signature, message, publicKey); - const e = schnorrChallengeFinalize(utils.taggedHashSync(TAGS.challenge, numTo32b(r), P.toRawX(), m)); - return finalizeSchnorrVerify(r, P, s, e); - } - catch (error) { - if (error instanceof ShaError) - throw error; - return false; - } - } - const schnorr = { - Signature: SchnorrSignature, - getPublicKey: schnorrGetPublicKey, - sign: schnorrSign, - verify: schnorrVerify, - signSync: schnorrSignSync, - verifySync: schnorrVerifySync, + /*! noble-secp256k1 - MIT License (c) 2019 Paul Miller (paulmillr.com) */ + const B256 = 2n ** 256n; // secp256k1 is short weierstrass curve + const P = B256 - 0x1000003d1n; // curve's field prime + const N = B256 - 0x14551231950b75fc4402da1732fc9bebfn; // curve (group) order + const Gx = 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798n; // base point x + const Gy = 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8n; // base point y + const CURVE = { p: P, n: N, a: 0n, b: 7n, Gx, Gy }; // exported variables incl. a, b + const fLen = 32; // field / group byte length + const crv = (x) => mod(mod(x * x) * x + CURVE.b); // x³ + ax + b weierstrass formula; a=0 + const err = (m = '') => { + throw new Error(m); + }; // error helper, messes-up stack trace + const big = (n) => typeof n === 'bigint'; // is big integer + const str = (s) => typeof s === 'string'; // is string + const fe = (n) => big(n) && 0n < n && n < P; // is field element (invertible) + const ge = (n) => big(n) && 0n < n && n < N; // is group element + const isu8 = (a) => + a instanceof Uint8Array || + (a != null && typeof a === 'object' && a.constructor.name === 'Uint8Array'); + const au8 = ( + a, + l, // assert is Uint8Array (of specific length) + ) => + !isu8(a) || (typeof l === 'number' && l > 0 && a.length !== l) ? err('Uint8Array expected') : a; + const u8n = (data) => new Uint8Array(data); // creates Uint8Array + const toU8 = (a, len) => au8(str(a) ? h2b(a) : u8n(au8(a)), len); // norm(hex/u8a) to u8a + const mod = (a, b = P) => { + let r = a % b; + return r >= 0n ? r : b + r; + }; // mod division + const isPoint = (p) => (p instanceof Point ? p : err('Point expected')); // is 3d point + class Point { + constructor(px, py, pz) { + this.px = px; + this.py = py; + this.pz = pz; + } //3d=less inversions + static fromAffine(p) { + return p.x === 0n && p.y === 0n ? Point.ZERO : new Point(p.x, p.y, 1n); + } + static fromHex(hex) { + hex = toU8(hex); // convert hex string to Uint8Array + let p = undefined; + const head = hex[0], + tail = hex.subarray(1); // first byte is prefix, rest is data + const x = slcNum(tail, 0, fLen), + len = hex.length; // next 32 bytes are x coordinate + if (len === 33 && [0x02, 0x03].includes(head)) { + // compressed points: 33b, start + if (!fe(x)) err('Point hex invalid: x not FE'); // with byte 0x02 or 0x03. Check if 0 0n; d = d.double(), n >>= 1n) { + // double-and-add ladder + if (n & 1n) + p = p.add(d); // if bit is present, add to point + else if (safe) f = f.add(d); // if not, add to fake for timing safety + } + return p; + } + mulAddQUns(R, u1, u2) { + return this.mul(u1, false).add(R.mul(u2, false)).ok(); // Unsafe: do NOT use for stuff related + } // to private keys. Doesn't use Shamir trick + toAffine() { + const { px: x, py: y, pz: z } = this; // (x, y, z) ∋ (x=x/z, y=y/z) + if (this.equals(I)) return { x: 0n, y: 0n }; // fast-path for zero point + if (z === 1n) return { x, y }; // if z is 1, pass affine coordinates as-is + const iz = inv(z); // z^-1: invert z + if (mod(z * iz) !== 1n) err('invalid inverse'); // (z * z^-1) must be 1, otherwise bad math + return { x: mod(x * iz), y: mod(y * iz) }; // x = x*z^-1; y = y*z^-1 + } + assertValidity() { + const { x, y } = this.aff(); // convert to 2d xy affine point. + if (!fe(x) || !fe(y)) err('Point invalid: x or y'); // x and y must be in range 0 < n < P + return mod(y * y) === crv(x) // y² = x³ + ax + b, must be equal + ? this + : err('Point invalid: not on curve'); + } + multiply(n) { + return this.mul(n); + } // Aliases to compress code + aff() { + return this.toAffine(); + } + ok() { + return this.assertValidity(); + } + toHex(isCompressed = true) { + const { x, y } = this.aff(); // convert to 2d xy affine point + const head = isCompressed ? ((y & 1n) === 0n ? '02' : '03') : '04'; // 0x02, 0x03, 0x04 prefix + return head + n2h(x) + (isCompressed ? '' : n2h(y)); // prefix||x and ||y + } + toRawBytes(isCompressed = true) { + return h2b(this.toHex(isCompressed)); // re-use toHex(), convert hex to bytes + } + } + Point.BASE = new Point(Gx, Gy, 1n); // Generator / base point + Point.ZERO = new Point(0n, 1n, 0n); // Identity / zero point + const { BASE: G, ZERO: I } = Point; // Generator, identity points + const padh = (n, pad) => n.toString(16).padStart(pad, '0'); + const b2h = (b) => + Array.from(b) + .map((e) => padh(e, 2)) + .join(''); // bytes to hex + const h2b = (hex) => { + const l = hex.length; // error if not string, + if (!str(hex) || l % 2) err('hex invalid 1'); // or has odd length like 3, 5. + const arr = u8n(l / 2); // create result array + for (let i = 0; i < arr.length; i++) { + const j = i * 2; + const h = hex.slice(j, j + 2); // hexByte. slice is faster than substr + const b = Number.parseInt(h, 16); // byte, created from string part + if (Number.isNaN(b) || b < 0) err('hex invalid 2'); // byte must be valid 0 <= byte < 256 + arr[i] = b; + } + return arr; + }; + const b2n = (b) => BigInt('0x' + (b2h(b) || '0')); // bytes to number + const slcNum = (b, from, to) => b2n(b.slice(from, to)); // slice bytes num + const n2b = (num) => { + return big(num) && num >= 0n && num < B256 ? h2b(padh(num, 2 * fLen)) : err('bigint expected'); + }; + const n2h = (num) => b2h(n2b(num)); // number to 32b hex + const concatB = (...arrs) => { + const r = u8n(arrs.reduce((sum, a) => sum + au8(a).length, 0)); // create u8a of summed length + let pad = 0; // walk through each array, + arrs.forEach((a) => { + r.set(a, pad); + pad += a.length; + }); // ensure they have proper type + return r; + }; + const inv = (num, md = P) => { + if (num === 0n || md <= 0n) err('no inverse n=' + num + ' mod=' + md); // no neg exponent for now + let a = mod(num, md), + b = md, + x = 0n, + y = 1n, + u = 1n, + v = 0n; + while (a !== 0n) { + // uses euclidean gcd algorithm + const q = b / a, + r = b % a; // not constant-time + const m = x - u * q, + n = y - v * q; + (b = a), (a = r), (x = u), (y = v), (u = m), (v = n); + } + return b === 1n ? mod(x, md) : err('no inverse'); // b is gcd at this point + }; + const sqrt = (n) => { + let r = 1n; // So, a special, fast case. Paper: "Square Roots from 1;24,51,10 to Dan Shanks". + for (let num = n, e = (P + 1n) / 4n; e > 0n; e >>= 1n) { + // powMod: modular exponentiation. + if (e & 1n) r = (r * num) % P; // Uses exponentiation by squaring. + num = (num * num) % P; // Not constant-time. + } + return mod(r * r) === n ? r : err('sqrt invalid'); // check if result is valid + }; + const toPriv = (p) => { + if (!big(p)) p = b2n(toU8(p, fLen)); // convert to bigint when bytes + return ge(p) ? p : err('private key out of range'); // check if bigint is in range + }; + const moreThanHalfN = (n) => n > N >> 1n; // if a number is bigger than CURVE.n/2 + const getPublicKey = (privKey, isCompressed = true) => { + return Point.fromPrivateKey(privKey).toRawBytes(isCompressed); // 33b or 65b output + }; + class Signature { + constructor(r, s, recovery) { + this.r = r; + this.s = s; + this.recovery = recovery; + this.assertValidity(); // recovery bit is optional when + } // constructed outside. + static fromCompact(hex) { + hex = toU8(hex, 64); // compact repr is (32b r)||(32b s) + return new Signature(slcNum(hex, 0, fLen), slcNum(hex, fLen, 2 * fLen)); + } + assertValidity() { + return ge(this.r) && ge(this.s) ? this : err(); + } // 0 < r or s < CURVE.n + addRecoveryBit(rec) { + return new Signature(this.r, this.s, rec); + } + hasHighS() { + return moreThanHalfN(this.s); + } + normalizeS() { + return this.hasHighS() ? new Signature(this.r, mod(this.s, N), this.recovery) : this; + } + recoverPublicKey(msgh) { + const { r, s, recovery: rec } = this; // secg.org/sec1-v2.pdf 4.1.6 + if (![0, 1, 2, 3].includes(rec)) err('recovery id invalid'); // check recovery id + const h = bits2int_modN(toU8(msgh, fLen)); // Truncate hash + const radj = rec === 2 || rec === 3 ? r + N : r; // If rec was 2 or 3, q.x is bigger than n + if (radj >= P) err('q.x invalid'); // ensure q.x is still a field element + const head = (rec & 1) === 0 ? '02' : '03'; // head is 0x02 or 0x03 + const R = Point.fromHex(head + n2h(radj)); // concat head + hex repr of r + const ir = inv(radj, N); // r^-1 + const u1 = mod(-h * ir, N); // -hr^-1 + const u2 = mod(s * ir, N); // sr^-1 + return G.mulAddQUns(R, u1, u2); // (sr^-1)R-(hr^-1)G = -(hr^-1)G + (sr^-1) + } + toCompactRawBytes() { + return h2b(this.toCompactHex()); + } // Uint8Array 64b compact repr + toCompactHex() { + return n2h(this.r) + n2h(this.s); + } // hex 64b compact repr + } + const bits2int = (bytes) => { + const delta = bytes.length * 8 - 256; // RFC suggests optional truncating via bits2octets + const num = b2n(bytes); // FIPS 186-4 4.6 suggests the leftmost min(nBitLen, outLen) bits, which + return delta > 0 ? num >> BigInt(delta) : num; // matches bits2int. bits2int can produce res>N. + }; + const bits2int_modN = (bytes) => { + return mod(bits2int(bytes), N); // with 0: BAD for trunc as per RFC vectors + }; + const i2o = (num) => n2b(num); // int to octets + const cr = () => + // We support: 1) browsers 2) node.js 19+ 3) deno, other envs with crypto + typeof globalThis === 'object' && 'crypto' in globalThis ? globalThis.crypto : undefined; + let _hmacSync; // Can be redefined by use in utils; built-ins don't provide it + const optS = { lowS: true }; // opts for sign() + const optV = { lowS: true }; // standard opts for verify() + const prepSig = (msgh, priv, opts = optS) => { + if (['der', 'recovered', 'canonical'].some((k) => k in opts)) + // Ban legacy options + err('sign() legacy options not supported'); + let { lowS } = opts; // generates low-s sigs by default + if (lowS == null) lowS = true; // RFC6979 3.2: we skip step A + const h1i = bits2int_modN(toU8(msgh)); // msg bigint + const h1o = i2o(h1i); // msg octets + const d = toPriv(priv); // validate private key, convert to bigint + const seed = [i2o(d), h1o]; // Step D of RFC6979 3.2 + let ent = opts.extraEntropy; // RFC6979 3.6: additional k' (optional) + if (ent) { + // K = HMAC_K(V || 0x00 || int2octets(x) || bits2octets(h1) || k') + if (ent === true) ent = etc.randomBytes(fLen); // if true, use CSPRNG to generate data + const e = toU8(ent); // convert Hex|Bytes to Bytes + if (e.length !== fLen) err(); // Expected 32 bytes of extra data + seed.push(e); + } + const m = h1i; // convert msg to bigint + const k2sig = (kBytes) => { + const k = bits2int(kBytes); // RFC6979 method. + if (!ge(k)) return; // Check 0 < k < CURVE.n + const ik = inv(k, N); // k^-1 mod n, NOT mod P + const q = G.mul(k).aff(); // q = Gk + const r = mod(q.x, N); // r = q.x mod n + if (r === 0n) return; // r=0 invalid + const s = mod(ik * mod(m + mod(d * r, N), N), N); // s = k^-1(m + rd) mod n + if (s === 0n) return; // s=0 invalid + let normS = s; // normalized S + let rec = (q.x === r ? 0 : 2) | Number(q.y & 1n); // recovery bit + if (lowS && moreThanHalfN(s)) { + // if lowS was passed, ensure s is always + normS = mod(-s, N); // in the bottom half of CURVE.n + rec ^= 1; + } + return new Signature(r, normS, rec); // use normS, not s }; - Point.BASE._setWindowSize(8); - const crypto = { - node: nodeCrypto, - web: typeof self === 'object' && 'crypto' in self ? self.crypto : undefined, - }; - const TAGS = { - challenge: 'BIP0340/challenge', - aux: 'BIP0340/aux', - nonce: 'BIP0340/nonce', - }; - const TAGGED_HASH_PREFIXES = {}; - const utils = { - bytesToHex, - hexToBytes, - concatBytes, - mod, - invert, - isValidPrivateKey(privateKey) { - try { - normalizePrivateKey(privateKey); - return true; - } - catch (error) { - return false; - } - }, - _bigintTo32Bytes: numTo32b, - _normalizePrivateKey: normalizePrivateKey, - hashToPrivateKey: (hash) => { - hash = ensureBytes(hash); - if (hash.length < 40 || hash.length > 1024) - throw new Error('Expected 40-1024 bytes of private key as per FIPS 186'); - const num = mod(bytesToNumber(hash), CURVE.n - _1n) + _1n; - return numTo32b(num); - }, - randomBytes: (bytesLength = 32) => { - let Crypto = globalThis.crypto; - if (!Crypto) { - Crypto = require('./shims/node-crypto.js'); - } - if (!Crypto) { - throw new Error("The environment doesn't have randomBytes function"); - } - - if (!Crypto.getRandomValues) { - let buf = Crypto.randomBytes(bytesLength); - return new Uint8Array(buf); - } - - let buf = new Uint8Array(bytesLength); - Crypto.getRandomValues(buf); - return buf; - }, - randomPrivateKey: () => { - return utils.hashToPrivateKey(utils.randomBytes(40)); - }, - sha256: async (...messages) => { - if (crypto.web) { - const buffer = await crypto.web.subtle.digest('SHA-256', concatBytes(...messages)); - return new Uint8Array(buffer); - } - else if (crypto.node) { - const { createHash } = crypto.node; - const hash = createHash('sha256'); - messages.forEach((m) => hash.update(m)); - return Uint8Array.from(hash.digest()); - } - else { - throw new Error("The environment doesn't have sha256 function"); - } - }, - hmacSha256: async (key, ...messages) => { - let Crypto = globalThis.crypto; - if (!Crypto) { - Crypto = require('./shims/node-crypto.js'); - } - if (!Crypto) { - throw new Error("The environment doesn't have crypto.subtle.sign function"); - } - - let message = concatBytes(...messages); - - if (!Crypto.subtle) { - let buf = Crypto.createHmac("sha256", key).update(message).digest(); - return new Uint8Array(buf); - } - - - let ckey = await Crypto.subtle.importKey( - "raw", - key, - { name: "HMAC", hash: { name: "SHA-256" } }, - false, - ["sign"], - ); - let buffer = await Crypto.subtle.sign("HMAC", ckey, message); - - return new Uint8Array(buffer); - }, - sha256Sync: undefined, - hmacSha256Sync: undefined, - taggedHash: async (tag, ...messages) => { - let tagP = TAGGED_HASH_PREFIXES[tag]; - if (tagP === undefined) { - const tagH = await utils.sha256(Uint8Array.from(tag, (c) => c.charCodeAt(0))); - tagP = concatBytes(tagH, tagH); - TAGGED_HASH_PREFIXES[tag] = tagP; - } - return utils.sha256(tagP, ...messages); - }, - taggedHashSync: (tag, ...messages) => { - if (typeof _sha256Sync !== 'function') - throw new ShaError('sha256Sync is undefined, you need to set it'); - let tagP = TAGGED_HASH_PREFIXES[tag]; - if (tagP === undefined) { - const tagH = _sha256Sync(Uint8Array.from(tag, (c) => c.charCodeAt(0))); - tagP = concatBytes(tagH, tagH); - TAGGED_HASH_PREFIXES[tag] = tagP; - } - return _sha256Sync(tagP, ...messages); - }, - precompute(windowSize = 8, point = Point.BASE) { - const cached = point === Point.BASE ? point : new Point(point.x, point.y); - cached._setWindowSize(windowSize); - cached.multiply(_3n); - return cached; - }, + return { seed: concatB(...seed), k2sig }; + }; + function hmacDrbg(asynchronous) { + let v = u8n(fLen); // Minimal non-full-spec HMAC-DRBG from NIST 800-90 for RFC6979 sigs. + let k = u8n(fLen); // Steps B, C of RFC6979 3.2: set hashLen, in our case always same + let i = 0; // Iterations counter, will throw when over 1000 + const reset = () => { + v.fill(1); + k.fill(0); + i = 0; }; - Object.defineProperties(utils, { - sha256Sync: { - configurable: false, - get() { - return _sha256Sync; - }, - set(val) { - if (!_sha256Sync) - _sha256Sync = val; - }, - }, - hmacSha256Sync: { - configurable: false, - get() { - return _hmacSha256Sync; - }, - set(val) { - if (!_hmacSha256Sync) - _hmacSha256Sync = val; - }, - }, - }); - - exports.CURVE = CURVE; - exports.Point = Point; - exports.Signature = Signature; - exports.getPublicKey = getPublicKey; - exports.getSharedSecret = getSharedSecret; - exports.recoverPublicKey = recoverPublicKey; - exports.schnorr = schnorr; - exports.sign = sign; - exports.signSync = signSync; - exports.utils = utils; - exports.verify = verify; + const _e = 'drbg: tried 1000 values'; + if (asynchronous) { + // asynchronous=true + const h = (...b) => etc.hmacSha256Async(k, v, ...b); // hmac(k)(v, ...values) + const reseed = async (seed = u8n()) => { + k = await h(u8n([0x00]), seed); // k = hmac(K || V || 0x00 || seed) + v = await h(); // v = hmac(K || V) + if (seed.length === 0) return; + k = await h(u8n([0x01]), seed); // k = hmac(K || V || 0x01 || seed) + v = await h(); // v = hmac(K || V) + }; + const gen = async () => { + if (i++ >= 1000) err(_e); + v = await h(); // v = hmac(K || V) + return v; + }; + return async (seed, pred) => { + reset(); // the returned fn, don't, it's: 1. slower (JIT). 2. unsafe (async race conditions) + await reseed(seed); // Steps D-G + let res = undefined; // Step H: grind until k is in [1..n-1] + while (!(res = pred(await gen()))) await reseed(); // test predicate until it returns ok + reset(); + return res; + }; + } else { + const h = (...b) => { + const f = _hmacSync; + if (!f) err('etc.hmacSha256Sync not set'); + return f(k, v, ...b); // hmac(k)(v, ...values) + }; + const reseed = (seed = u8n()) => { + k = h(u8n([0x00]), seed); // k = hmac(k || v || 0x00 || seed) + v = h(); // v = hmac(k || v) + if (seed.length === 0) return; + k = h(u8n([0x01]), seed); // k = hmac(k || v || 0x01 || seed) + v = h(); // v = hmac(k || v) + }; + const gen = () => { + if (i++ >= 1000) err(_e); + v = h(); // v = hmac(k || v) + return v; + }; + return (seed, pred) => { + reset(); + reseed(seed); // Steps D-G + let res = undefined; // Step H: grind until k is in [1..n-1] + while (!(res = pred(gen()))) reseed(); // test predicate until it returns ok + reset(); + return res; + }; + } + } + // ECDSA signature generation. via secg.org/sec1-v2.pdf 4.1.2 + RFC6979 deterministic k + const signAsync = async (msgh, priv, opts = optS) => { + const { seed, k2sig } = prepSig(msgh, priv, opts); // Extract arguments for hmac-drbg + return hmacDrbg(true)(seed, k2sig); // Re-run drbg until k2sig returns ok + }; + const sign = (msgh, priv, opts = optS) => { + const { seed, k2sig } = prepSig(msgh, priv, opts); // Extract arguments for hmac-drbg + return hmacDrbg(false)(seed, k2sig); // Re-run drbg until k2sig returns ok + }; + const verify = (sig, msgh, pub, opts = optV) => { + let { lowS } = opts; // ECDSA signature verification + if (lowS == null) lowS = true; // Default lowS=true + if ('strict' in opts) err('verify() legacy options not supported'); // legacy param + let sig_, h, P; // secg.org/sec1-v2.pdf 4.1.4 + const rs = sig && typeof sig === 'object' && 'r' in sig; // Previous ver supported DER sigs. We + if (!rs && toU8(sig).length !== 2 * fLen) + // throw error when DER is suspected now. + err('signature must be 64 bytes'); + try { + sig_ = rs ? new Signature(sig.r, sig.s).assertValidity() : Signature.fromCompact(sig); + h = bits2int_modN(toU8(msgh)); // Truncate hash + P = pub instanceof Point ? pub.ok() : Point.fromHex(pub); // Validate public key + } catch (e) { + return false; + } // Check sig for validity in both cases + if (!sig_) return false; + const { r, s } = sig_; + if (lowS && moreThanHalfN(s)) return false; // lowS bans sig.s >= CURVE.n/2 + let R; + try { + const is = inv(s, N); // s^-1 + const u1 = mod(h * is, N); // u1 = hs^-1 mod n + const u2 = mod(r * is, N); // u2 = rs^-1 mod n + R = G.mulAddQUns(P, u1, u2).aff(); // R = u1⋅G + u2⋅P + } catch (error) { + return false; + } + if (!R) return false; // stop if R is identity / zero point + const v = mod(R.x, N); // R.x must be in N's field, not P's + return v === r; // mod(R.x, n) == r + }; + const getSharedSecret = (privA, pubB, isCompressed = true) => { + return Point.fromHex(pubB).mul(toPriv(privA)).toRawBytes(isCompressed); // ECDH + }; + const hashToPrivateKey = (hash) => { + hash = toU8(hash); // produces private keys with modulo bias + const minLen = fLen + 8; // being neglible. + if (hash.length < minLen || hash.length > 1024) err('expected proper params'); + const num = mod(b2n(hash), N - 1n) + 1n; // takes at least n+8 bytes + return n2b(num); + }; + const etc = { + hexToBytes: h2b, + bytesToHex: b2h, // share API with noble-curves. + concatBytes: concatB, + bytesToNumberBE: b2n, + numberToBytesBE: n2b, + mod, + invert: inv, // math utilities + hmacSha256Async: async (key, ...msgs) => { + const c = cr(); // async HMAC-SHA256, no sync built-in! + const s = c && c.subtle; // For React Native support, see README. + if (!s) return err('etc.hmacSha256Async not set'); // Uses webcrypto built-in cryptography. + const k = await s.importKey('raw', key, { name: 'HMAC', hash: { name: 'SHA-256' } }, false, [ + 'sign', + ]); + return u8n(await s.sign('HMAC', k, concatB(...msgs))); + }, + hmacSha256Sync: _hmacSync, // For TypeScript. Actual logic is below + hashToPrivateKey, + randomBytes: (len = 32) => { + const crypto = cr(); // Must be shimmed in node.js <= 18 to prevent error. See README. + if (!crypto || !crypto.getRandomValues) err('crypto.getRandomValues must be defined'); + return crypto.getRandomValues(u8n(len)); + }, + }; + const utils = { + normPrivateKeyToScalar: toPriv, + isValidPrivateKey: (key) => { + try { + return !!toPriv(key); + } catch (e) { + return false; + } + }, + randomPrivateKey: () => hashToPrivateKey(etc.randomBytes(fLen + 16)), // FIPS 186 B.4.1. + precompute(w = 8, p = G) { + p.multiply(3n); + w; + return p; + }, // no-op + }; + Object.defineProperties(etc, { + hmacSha256Sync: { + configurable: false, + get() { + return _hmacSync; + }, + set(f) { + if (!_hmacSync) _hmacSync = f; + }, + }, + }); + const W = 8; // Precomputes-related code. W = window size + const precompute = () => { + const points = []; // 10x sign(), 2x verify(). To achieve this, + const windows = 256 / W + 1; // app needs to spend 40ms+ to calculate + let p = G, + b = p; // a lot of points related to base point G. + for (let w = 0; w < windows; w++) { + // Points are stored in array and used + b = p; // any time Gx multiplication is done. + points.push(b); // They consume 16-32 MiB of RAM. + for (let i = 1; i < 2 ** (W - 1); i++) { + b = b.add(p); + points.push(b); + } + p = b.double(); // Precomputes don't speed-up getSharedKey, + } // which multiplies user point by scalar, + return points; // when precomputes are using base point + }; + let Gpows = undefined; // precomputes for base point G + const wNAF = (n) => { + // Compared to other point mult methods, + const comp = Gpows || (Gpows = precompute()); // stores 2x less points using subtraction + const neg = (cnd, p) => { + let n = p.negate(); + return cnd ? n : p; + }; // negate + let p = I, + f = G; // f must be G, or could become I in the end + const windows = 1 + 256 / W; // W=8 17 windows + const wsize = 2 ** (W - 1); // W=8 128 window size + const mask = BigInt(2 ** W - 1); // W=8 will create mask 0b11111111 + const maxNum = 2 ** W; // W=8 256 + const shiftBy = BigInt(W); // W=8 8 + for (let w = 0; w < windows; w++) { + const off = w * wsize; + let wbits = Number(n & mask); // extract W bits. + n >>= shiftBy; // shift number by W bits. + if (wbits > wsize) { + wbits -= maxNum; + n += 1n; + } // split if bits > max: +224 => 256-32 + const off1 = off, + off2 = off + Math.abs(wbits) - 1; // offsets, evaluate both + const cnd1 = w % 2 !== 0, + cnd2 = wbits < 0; // conditions, evaluate both + if (wbits === 0) { + f = f.add(neg(cnd1, comp[off1])); // bits are 0: add garbage to fake point + } else { + // ^ can't add off2, off2 = I + p = p.add(neg(cnd2, comp[off2])); // bits are 1: add to result point + } + } + return { p, f }; // return both real and fake points for JIT + }; // !! you can disable precomputes by commenting-out call of the wNAF() inside Point#mul() - Object.defineProperty(exports, '__esModule', { value: true }); + exports.CURVE = CURVE; + exports.Point = Point; + exports.ProjectivePoint = Point; + exports.Signature = Signature; + exports.getPublicKey = getPublicKey; + exports.getSharedSecret = getSharedSecret; + exports.sign = sign; + exports.signAsync = signAsync; + exports.etc = etc; + exports.utils = utils; + exports.verify = verify; -})); + Object.defineProperty(exports, '__esModule', { value: true }); +}); diff --git a/test/basic.test.mjs b/test/basic.test.mjs new file mode 100644 index 0000000..32d85dd --- /dev/null +++ b/test/basic.test.mjs @@ -0,0 +1,398 @@ +import { deepStrictEqual, throws } from 'node:assert'; +import { should, describe } from 'micro-should'; +import * as fc from 'fast-check'; +import * as secp256k1 from '../index.mjs'; +import * as h from './secp256k1.helpers.mjs'; + +const CURVES = { secp256k1 }; +const name = 'secp256k1'; +const C = CURVES[name]; +const CURVE_ORDER = C.CURVE.n; +const FC_BIGINT = fc.bigInt(1n + 1n, CURVE_ORDER - 1n); +const NUM_RUNS = 5; + +const getXY = (p) => ({ x: p.x, y: p.y }); +const toHex = secp256k1.etc.bytesToHex; + +function equal(a, b, comment) { + deepStrictEqual(a.equals(b), true, `eq(${comment})`); + if (a.toAffine && b.toAffine) { + deepStrictEqual(getXY(a.toAffine()), getXY(b.toAffine()), `eqToAffine(${comment})`); + } else if (!a.toAffine && !b.toAffine) { + // Already affine + deepStrictEqual(getXY(a), getXY(b), `eqAffine(${comment})`); + } else throw new Error('Different point types'); +} + +// Check that curve doesn't accept points from other curves +const POINTS = {}; + +for (const pointName in POINTS) { + const p = POINTS[pointName]; + if (!p) continue; + + const G = [p.ZERO, p.BASE]; + for (let i = 2n; i < 10n; i++) G.push(G[1].multiply(i)); + const title = `${name}/${pointName}`; + describe(title, () => { + describe('basic group laws', () => { + // Here we check basic group laws, to verify that points works as group + should('zero', () => { + equal(G[0].double(), G[0], '(0*G).double() = 0'); + equal(G[0].add(G[0]), G[0], '0*G + 0*G = 0'); + equal(G[0].subtract(G[0]), G[0], '0*G - 0*G = 0'); + equal(G[0].negate(), G[0], '-0 = 0'); + for (let i = 0; i < G.length; i++) { + const p = G[i]; + equal(p, p.add(G[0]), `${i}*G + 0 = ${i}*G`); + equal(G[0].multiply(BigInt(i + 1)), G[0], `${i + 1}*0 = 0`); + } + }); + should('one', () => { + equal(G[1].double(), G[2], '(1*G).double() = 2*G'); + equal(G[1].subtract(G[1]), G[0], '1*G - 1*G = 0'); + equal(G[1].add(G[1]), G[2], '1*G + 1*G = 2*G'); + }); + should('sanity tests', () => { + equal(G[2].double(), G[4], '(2*G).double() = 4*G'); + equal(G[2].add(G[2]), G[4], '2*G + 2*G = 4*G'); + equal(G[7].add(G[3].negate()), G[4], '7*G - 3*G = 4*G'); + }); + should('add commutativity', () => { + equal(G[4].add(G[3]), G[3].add(G[4]), '4*G + 3*G = 3*G + 4*G'); + equal(G[4].add(G[3]), G[3].add(G[2]).add(G[2]), '4*G + 3*G = 3*G + 2*G + 2*G'); + }); + should('double', () => { + equal(G[3].double(), G[6], '(3*G).double() = 6*G'); + }); + should('multiply', () => { + equal(G[2].multiply(3n), G[6], '(2*G).multiply(3) = 6*G'); + }); + should('add same-point', () => { + equal(G[3].add(G[3]), G[6], '3*G + 3*G = 6*G'); + }); + should('add same-point negative', () => { + equal(G[3].add(G[3].negate()), G[0], '3*G + (- 3*G) = 0*G'); + equal(G[3].subtract(G[3]), G[0], '3*G - 3*G = 0*G'); + }); + should('mul by curve order', () => { + equal(G[1].multiply(CURVE_ORDER - 1n).add(G[1]), G[0], '(N-1)*G + G = 0'); + equal(G[1].multiply(CURVE_ORDER - 1n).add(G[2]), G[1], '(N-1)*G + 2*G = 1*G'); + equal(G[1].multiply(CURVE_ORDER - 2n).add(G[2]), G[0], '(N-2)*G + 2*G = 0'); + const half = CURVE_ORDER / 2n; + const carry = CURVE_ORDER % 2n === 1n ? G[1] : G[0]; + equal(G[1].multiply(half).double().add(carry), G[0], '((N/2) * G).double() = 0'); + }); + should('inversion', () => { + const a = 1234n; + const b = 5678n; + const c = a * b; + equal(G[1].multiply(a).multiply(b), G[1].multiply(c), 'a*b*G = c*G'); + const inv = mod.invert(b, CURVE_ORDER); + equal(G[1].multiply(c).multiply(inv), G[1].multiply(a), 'c*G * (1/b)*G = a*G'); + }); + should('multiply, rand', () => + fc.assert( + fc.property(FC_BIGINT, FC_BIGINT, (a, b) => { + const c = mod.mod(a + b, CURVE_ORDER); + if (c === CURVE_ORDER || c < 1n) return; + const pA = G[1].multiply(a); + const pB = G[1].multiply(b); + const pC = G[1].multiply(c); + equal(pA.add(pB), pB.add(pA), 'pA + pB = pB + pA'); + equal(pA.add(pB), pC, 'pA + pB = pC'); + }), + { numRuns: NUM_RUNS } + ) + ); + should('multiply2, rand', () => + fc.assert( + fc.property(FC_BIGINT, FC_BIGINT, (a, b) => { + const c = mod.mod(a * b, CURVE_ORDER); + const pA = G[1].multiply(a); + const pB = G[1].multiply(b); + equal(pA.multiply(b), pB.multiply(a), 'b*pA = a*pB'); + equal(pA.multiply(b), G[1].multiply(c), 'b*pA = c*G'); + }), + { numRuns: NUM_RUNS } + ) + ); + }); + + for (const op of ['add', 'subtract']) { + describe(op, () => { + should('type check', () => { + throws(() => G[1][op](0), '0'); + throws(() => G[1][op](0n), '0n'); + G[1][op](G[2]); + throws(() => G[1][op](CURVE_ORDER), 'CURVE_ORDER'); + throws(() => G[1][op](-123n), '-123n'); + throws(() => G[1][op](123), '123'); + throws(() => G[1][op](123.456), '123.456'); + throws(() => G[1][op](true), 'true'); + throws(() => G[1][op](false), 'false'); + throws(() => G[1][op](null), 'null'); + throws(() => G[1][op](undefined), 'undefined'); + throws(() => G[1][op]('1'), "'1'"); + throws(() => G[1][op]({ x: 1n, y: 1n }), '{ x: 1n, y: 1n }'); + throws(() => G[1][op]({ x: 1n, y: 1n, z: 1n }), '{ x: 1n, y: 1n, z: 1n }'); + throws(() => G[1][op]({ x: 1n, y: 1n, z: 1n, t: 1n }), '{ x: 1n, y: 1n, z: 1n, t: 1n }'); + throws(() => G[1][op](new Uint8Array([])), 'ui8a([])'); + throws(() => G[1][op](new Uint8Array([0])), 'ui8a([0])'); + throws(() => G[1][op](new Uint8Array([1])), 'ui8a([1])'); + throws(() => G[1][op](new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])'); + // if (G[1].toAffine) throws(() => G[1][op](C.Point.BASE), `Point ${op} ${pointName}`); + throws(() => G[1][op](o.BASE), `${op}/other curve point`); + }); + }); + } + + should('equals type check', () => { + throws(() => G[1].equals(0), '0'); + throws(() => G[1].equals(0n), '0n'); + deepStrictEqual(G[1].equals(G[2]), false, '1*G != 2*G'); + deepStrictEqual(G[1].equals(G[1]), true, '1*G == 1*G'); + deepStrictEqual(G[2].equals(G[2]), true, '2*G == 2*G'); + throws(() => G[1].equals(CURVE_ORDER), 'CURVE_ORDER'); + throws(() => G[1].equals(123.456), '123.456'); + throws(() => G[1].equals(true), 'true'); + throws(() => G[1].equals('1'), "'1'"); + throws(() => G[1].equals({ x: 1n, y: 1n, z: 1n, t: 1n }), '{ x: 1n, y: 1n, z: 1n, t: 1n }'); + throws(() => G[1].equals(new Uint8Array([])), 'ui8a([])'); + throws(() => G[1].equals(new Uint8Array([0])), 'ui8a([0])'); + throws(() => G[1].equals(new Uint8Array([1])), 'ui8a([1])'); + throws(() => G[1].equals(new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])'); + // if (G[1].toAffine) throws(() => G[1].equals(C.Point.BASE), 'Point.equals(${pointName})'); + throws(() => G[1].equals(o.BASE), 'other curve point'); + }); + + for (const op of ['multiply', 'multiplyUnsafe']) { + if (!p.BASE[op]) continue; + describe(op, () => { + should('type check', () => { + if (op !== 'multiplyUnsafe') { + throws(() => G[1][op](0), '0'); + throws(() => G[1][op](0n), '0n'); + } + G[1][op](1n); + G[1][op](CURVE_ORDER - 1n); + throws(() => G[1][op](G[2]), 'G[2]'); + throws(() => G[1][op](CURVE_ORDER), 'CURVE_ORDER'); + throws(() => G[1][op](CURVE_ORDER + 1n), 'CURVE_ORDER+1'); + throws(() => G[1][op](123.456), '123.456'); + throws(() => G[1][op](true), 'true'); + throws(() => G[1][op]('1'), '1'); + throws(() => G[1][op](new Uint8Array([])), 'ui8a([])'); + throws(() => G[1][op](new Uint8Array([0])), 'ui8a([0])'); + throws(() => G[1][op](new Uint8Array([1])), 'ui8a([1])'); + throws(() => G[1][op](new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])'); + throws(() => G[1][op](o.BASE), 'other curve point'); + }); + }); + } + // Complex point (Extended/Jacobian/Projective?) + // if (p.BASE.toAffine && C.Point) { + // should('toAffine()', () => { + // equal(p.ZERO.toAffine(), C.Point.ZERO, '0 = 0'); + // equal(p.BASE.toAffine(), C.Point.BASE, '1 = 1'); + // }); + // } + // if (p.fromAffine && C.Point) { + // should('fromAffine()', () => { + // equal(p.ZERO, p.fromAffine(C.Point.ZERO), '0 = 0'); + // equal(p.BASE, p.fromAffine(C.Point.BASE), '1 = 1'); + // }); + // } + // toHex/fromHex (if available) + if (p.fromHex && p.BASE.toHex) { + should('fromHex(toHex()) roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, (x) => { + const point = p.BASE.multiply(x); + const hex = point.toHex(); + const bytes = point.toRawBytes(); + deepStrictEqual(p.fromHex(hex).toHex(), hex); + deepStrictEqual(p.fromHex(bytes).toHex(), hex); + }) + ); + }); + should('fromHex(toHex(compressed=true)) roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, (x) => { + const point = p.BASE.multiply(x); + const hex = point.toHex(true); + const bytes = point.toRawBytes(true); + deepStrictEqual(p.fromHex(hex).toHex(true), hex); + deepStrictEqual(p.fromHex(bytes).toHex(true), hex); + }) + ); + }); + } + }); +} +describe(name, () => { + if (['bn254', 'pallas', 'vesta'].includes(name)) return; + // Generic complex things (getPublicKey/sign/verify/getSharedSecret) + should('.getPublicKey() type check', () => { + throws(() => C.getPublicKey(0), '0'); + throws(() => C.getPublicKey(0n), '0n'); + throws(() => C.getPublicKey(-123n), '-123n'); + throws(() => C.getPublicKey(123), '123'); + throws(() => C.getPublicKey(123.456), '123.456'); + throws(() => C.getPublicKey(true), 'true'); + throws(() => C.getPublicKey(false), 'false'); + throws(() => C.getPublicKey(null), 'null'); + throws(() => C.getPublicKey(undefined), 'undefined'); + throws(() => C.getPublicKey(''), "''"); + // NOTE: passes because of disabled hex padding checks for starknet, maybe enable? + // throws(() => C.getPublicKey('1'), "'1'"); + throws(() => C.getPublicKey('key'), "'key'"); + throws(() => C.getPublicKey({})); + throws(() => C.getPublicKey(new Uint8Array([]))); + throws(() => C.getPublicKey(new Uint8Array([0]))); + throws(() => C.getPublicKey(new Uint8Array([1]))); + throws(() => C.getPublicKey(new Uint8Array(4096).fill(1))); + throws(() => C.getPublicKey(Array(32).fill(1))); + }); + should('.verify() should verify random signatures', () => + fc.assert( + fc.property(fc.hexaString({ minLength: 64, maxLength: 64 }), (msg) => { + const priv = C.utils.randomPrivateKey(); + const pub = C.getPublicKey(priv); + const sig = C.sign(msg, priv); + const err = `priv=${toHex(priv)},pub=${toHex(pub)},msg=${msg}`; + deepStrictEqual(C.verify(sig, msg, pub), true, err); + }), + { numRuns: NUM_RUNS } + ) + ); + should('.verify() should verify empty signatures', () => { + const msg = new Uint8Array([]); + const priv = C.utils.randomPrivateKey(); + const pub = C.getPublicKey(priv); + const sig = C.sign(msg, priv); + deepStrictEqual( + C.verify(sig, msg, pub), + true, + `priv=${toHex(priv)},pub=${toHex(pub)},msg=${msg}` + ); + }); + should('.sign() edge cases', () => { + throws(() => C.sign()); + throws(() => C.sign('')); + throws(() => C.sign('', '')); + throws(() => C.sign(new Uint8Array(), new Uint8Array())); + }); + + describe('verify()', () => { + const msg = '01'.repeat(32); + should('true for proper signatures', () => { + const priv = C.utils.randomPrivateKey(); + const sig = C.sign(msg, priv); + const pub = C.getPublicKey(priv); + deepStrictEqual(C.verify(sig, msg, pub), true); + }); + should('false for wrong messages', () => { + const priv = C.utils.randomPrivateKey(); + const sig = C.sign(msg, priv); + const pub = C.getPublicKey(priv); + deepStrictEqual(C.verify(sig, '11'.repeat(32), pub), false); + }); + should('false for wrong keys', () => { + const priv = C.utils.randomPrivateKey(); + const sig = C.sign(msg, priv); + deepStrictEqual(C.verify(sig, msg, C.getPublicKey(C.utils.randomPrivateKey())), false); + }); + }); + if (C.Signature) { + should('Signature serialization roundtrip', () => + fc.assert( + fc.property(fc.hexaString({ minLength: 64, maxLength: 64 }), (msg) => { + const priv = C.utils.randomPrivateKey(); + const sig = C.sign(msg, priv); + const sigRS = (sig) => ({ s: sig.s, r: sig.r }); + // Compact + deepStrictEqual(sigRS(C.Signature.fromCompact(sig.toCompactHex())), sigRS(sig)); + deepStrictEqual(sigRS(C.Signature.fromCompact(sig.toCompactRawBytes())), sigRS(sig)); + // DER + // deepStrictEqual(sigRS(C.Signature.fromDER(sig.toDERHex())), sigRS(sig)); + // deepStrictEqual(sigRS(C.Signature.fromDER(sig.toDERRawBytes())), sigRS(sig)); + }), + { numRuns: NUM_RUNS } + ) + ); + should('Signature.addRecoveryBit/Signature.recoveryPublicKey', () => + fc.assert( + fc.property(fc.hexaString({ minLength: 64, maxLength: 64 }), (msg) => { + const priv = C.utils.randomPrivateKey(); + const pub = C.getPublicKey(priv); + const sig = C.sign(msg, priv); + deepStrictEqual(sig.recoverPublicKey(msg).toRawBytes(), pub); + const sig2 = C.Signature.fromCompact(sig.toCompactHex()); + throws(() => sig2.recoverPublicKey(msg)); + const sig3 = sig2.addRecoveryBit(sig.recovery); + deepStrictEqual(sig3.recoverPublicKey(msg).toRawBytes(), pub); + }), + { numRuns: NUM_RUNS } + ) + ); + should('Signature.normalizeS', () => + fc.assert( + fc.property(fc.hexaString({ minLength: 64, maxLength: 64 }), (msg) => { + const priv = C.utils.randomPrivateKey(); + const pub = C.getPublicKey(priv); + const sig = C.sign(msg, priv); + const sig2 = sig.normalizeS(); + deepStrictEqual(sig2.hasHighS(), false); + }), + { numRuns: NUM_RUNS } + ) + ); + } + + // NOTE: fails for ed, because of empty message. Since we convert it to scalar, + // need to check what other implementations do. Empty message != new Uint8Array([0]), but what scalar should be in that case? + // should('should not verify signature with wrong message', () => { + // fc.assert( + // fc.property( + // fc.array(fc.integer({ min: 0x00, max: 0xff })), + // fc.array(fc.integer({ min: 0x00, max: 0xff })), + // (bytes, wrongBytes) => { + // const privKey = C.utils.randomPrivateKey(); + // const message = new Uint8Array(bytes); + // const wrongMessage = new Uint8Array(wrongBytes); + // const publicKey = C.getPublicKey(privKey); + // const signature = C.sign(message, privKey); + // deepStrictEqual( + // C.verify(signature, wrongMessage, publicKey), + // bytes.toString() === wrongBytes.toString() + // ); + // } + // ), + // { numRuns: NUM_RUNS } + // ); + // }); + + if (C.getSharedSecret) { + should('getSharedSecret() should be commutative', () => { + for (let i = 0; i < NUM_RUNS; i++) { + const asec = C.utils.randomPrivateKey(); + const apub = C.getPublicKey(asec); + const bsec = C.utils.randomPrivateKey(); + const bpub = C.getPublicKey(bsec); + try { + deepStrictEqual(C.getSharedSecret(asec, bpub), C.getSharedSecret(bsec, apub)); + } catch (error) { + console.error('not commutative', { asec, apub, bsec, bpub }); + throw error; + } + } + }); + } +}); + +// ESM is broken. +import url from 'node:url'; +if (import.meta.url === url.pathToFileURL(process.argv[1]).href) { + should.run(); +} diff --git a/test/benchmark.js b/test/benchmark.js index 9d4427a..6a74913 100644 --- a/test/benchmark.js +++ b/test/benchmark.js @@ -1,85 +1,29 @@ -const { run, mark, logMem } = require('micro-bmark'); -const secp = require('..'); -const { join } = require('path'); -const { hmac } = require('@noble/hashes/hmac'); -const { sha256 } = require('@noble/hashes/sha256'); -const points = require('fs') - .readFileSync(join(__dirname, './vectors/points.txt'), 'utf-8') +import { webcrypto } from 'node:crypto'; +if (!globalThis.crypto) globalThis.crypto = webcrypto; +import { run, mark } from 'micro-bmark'; +import * as secp from '../index.mjs'; +import { join } from 'node:path'; +import { readFileSync } from 'node:fs'; +const points = readFileSync(join('.', 'test/vectors/points.txt'), 'utf-8') .split('\n') .filter((a) => a) .slice(0, 1000); -const { concatBytes } = secp.utils; - -secp.utils.sha256Sync = (...msgs) => - sha256.create().update(concatBytes(...msgs)).digest(), -secp.utils.hmacSha256Sync = (key, ...msgs) => - hmac.create(sha256, key).update(concatBytes(...msgs)).digest(); - -// run([4, 8, 16], async (windowSize) => { -run(async (windowSize) => { - const samples = 1000; - //console.log(`-------\nBenchmarking window=${windowSize} samples=${samples}...`); - await mark(() => { - secp.utils.precompute(windowSize); - }); - - logMem(); - console.log(); - - // await mark('getPublicKey 1 bit', samples * 10, () => { - // secp.getPublicKey('0000000000000000000000000000000000000000000000000000000000000003'); - // }); - - // await mark('getPublicKey 256 bit', samples * 10, () => { - // secp.getPublicKey('7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcfcb'); - // }); +run(async () => { + secp.getPublicKey(secp.utils.randomPrivateKey(), true); // warmup await mark('getPublicKey(utils.randomPrivateKey())', 5000, () => { - secp.getPublicKey(secp.utils.randomPrivateKey()); + secp.getPublicKey(secp.utils.randomPrivateKey(), true); }); - const priv = 'f6fc7fd5acaf8603709160d203253d5cd17daa307483877ad811ec8411df56d2'; - const pub = secp.getPublicKey(priv, false); + const pub = secp.getPublicKey(priv, true); const priv2 = '2e63f49054e1e44ccc2e6ef6ce387936efb16158f89cc302a2426e0b7fd66f66'; - const pub2 = secp.getPublicKey(priv2, false); + const pub2 = secp.getPublicKey(priv2, true); const msg = 'deadbeefdeadbeefdeadbeefdeadbeefdeadbeefdeadbeefdeadbeefdeadbeef'; - const signature = await secp.sign(msg, priv); - - await mark('sign', 5000, async () => { - await secp.sign(msg, priv); - }); - - await mark('signSync (@noble/hashes)', 5000, () => secp.signSync(msg, priv)); - - await mark('verify', 1000, () => { - secp.verify(signature, msg, pub); - }); - - const [rsig, reco] = await secp.sign(msg, priv, { canonical: true, recovered: true }); - await mark('recoverPublicKey', 1000, () => { - secp.recoverPublicKey(msg, rsig, reco); - }); - - await mark('getSharedSecret aka ecdh', 600, () => { - secp.getSharedSecret(priv, pub2); - }); - - const pub2Pre = secp.utils.precompute(windowSize, secp.Point.fromHex(pub2)); - await mark('getSharedSecret (precomputed)', 5000, () => { - secp.getSharedSecret(priv, pub2Pre); - }); - + const signature = await secp.signAsync(msg, priv); + await mark('sign', 4000, async () => secp.signAsync(msg, priv)); + await mark('verify', 500, () => secp.verify(signature, msg, pub)); + await mark('getSharedSecret', 500, () => secp.getSharedSecret(priv, pub2)); + await mark('recoverPublicKey', 500, () => signature.recoverPublicKey(msg)); let i = 0; - await mark('Point.fromHex (decompression)', 10000, () => { - const p = points[i++ % points.length]; - secp.Point.fromHex(p); - }); - - const smsg = '0000000000000000000000000000000000000000000000000000000000000000'; - const spri = '0000000000000000000000000000000000000000000000000000000000000003'; - const spub = secp.Point.fromPrivateKey(spri); - const ssig = await secp.schnorr.sign(smsg, spri); - await mark('schnorr.sign', 500, () => secp.schnorr.sign(smsg, spri)); - await mark('schnorr.verify', 1000, () => secp.schnorr.verify(ssig, smsg, spub)); - console.log(); - logMem(); + let len = points.length; + await mark('Point.fromHex (decompression)', 10000, () => secp.ProjectivePoint.fromHex(points[i++ % len])); }); diff --git a/test/build/package-lock.json b/test/build/package-lock.json new file mode 100644 index 0000000..9b527de --- /dev/null +++ b/test/build/package-lock.json @@ -0,0 +1,135 @@ +{ + "name": "build", + "version": "1.0.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "build", + "version": "1.0.0", + "license": "MIT", + 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"https://registry.npmjs.org/terser/-/terser-5.29.2.tgz", + "integrity": "sha512-ZiGkhUBIM+7LwkNjXYJq8svgkd+QK3UUr0wJqY4MieaezBSAIPgbSPZyIx0idM6XWK5CMzSWa8MJIzmRcB8Caw==", + "dev": true, + "dependencies": { + "@jridgewell/source-map": "^0.3.3", + "acorn": "^8.8.2", + "commander": "^2.20.0", + "source-map-support": "~0.5.20" + }, + "bin": { + "terser": "bin/terser" + }, + "engines": { + "node": ">=10" + } + } + } +} diff --git a/test/build/package.json b/test/build/package.json new file mode 100644 index 0000000..eef0f24 --- /dev/null +++ b/test/build/package.json @@ -0,0 +1,16 @@ +{ + "name": "build", + "private": true, + "version": "1.0.0", + "description": "Builds minified file", + "main": "noble-secp256k1.js", + "scripts": { + "terser": "terser --ecma 2020 -m -c < ../../index.js" + }, + "keywords": [], + "author": "", + "license": "MIT", + "devDependencies": { + "terser": "5.29.2" + } +} diff --git a/test/index.test.mjs b/test/index.test.mjs new file mode 100644 index 0000000..83d1b62 --- /dev/null +++ b/test/index.test.mjs @@ -0,0 +1,5 @@ +import { should } from 'micro-should'; +import * as t1 from './basic.test.mjs'; +import * as t2 from './secp256k1.test.mjs'; + +should.run(); \ No newline at end of file diff --git a/test/index.ts b/test/index.ts deleted file mode 100644 index a20f40c..0000000 --- a/test/index.ts +++ /dev/null @@ -1,570 +0,0 @@ -import * as fc from 'fast-check'; -import * as secp from '..'; -import { readFileSync } from 'fs'; -import { createHash } from 'crypto'; -import * as sysPath from 'path'; -import * as ecdsa from './vectors/ecdsa.json'; -import * as ecdh from './vectors/ecdh.json'; -import * as privates from './vectors/privates.json'; -import * as points from './vectors/points.json'; -import * as wp from './vectors/wychenproof.json'; -const privatesTxt = readFileSync(sysPath.join(__dirname, 'vectors', 'privates-2.txt'), 'utf-8'); -const schCsv = readFileSync(sysPath.join(__dirname, 'vectors', 'schnorr.csv'), 'utf-8'); - -const FC_BIGINT = fc.bigInt(1n + 1n, secp.CURVE.n - 1n); -// prettier-ignore -const INVALID_ITEMS = ['deadbeef', Math.pow(2, 53), [1], 'xyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxy', secp.CURVE.n + 2n]; - -secp.utils.sha256Sync = (...msgs) => - createHash('sha256') - .update(secp.utils.concatBytes(...msgs)) - .digest(); - -const toBEHex = (n: number | bigint) => n.toString(16).padStart(64, '0'); -const hex = secp.utils.bytesToHex; -const hexToBytes = secp.utils.hexToBytes; - -function hexToNumber(hex: string): bigint { - if (typeof hex !== 'string') { - throw new TypeError('hexToNumber: expected string, got ' + typeof hex); - } - // Big Endian - return BigInt(`0x${hex}`); -} - -describe('secp256k1', () => { - it('.getPublicKey()', () => { - const data = privatesTxt - .split('\n') - .filter((line) => line) - .map((line) => line.split(':')); - for (let [priv, x, y] of data) { - const point = secp.Point.fromPrivateKey(BigInt(priv)); - expect(toBEHex(point.x)).toBe(x); - expect(toBEHex(point.y)).toBe(y); - - const point2 = secp.Point.fromHex(secp.getPublicKey(toBEHex(BigInt(priv)))); - expect(toBEHex(point2.x)).toBe(x); - expect(toBEHex(point2.y)).toBe(y); - - const point3 = secp.Point.fromHex(secp.getPublicKey(hexToBytes(toBEHex(BigInt(priv))))); - expect(toBEHex(point3.x)).toBe(x); - expect(toBEHex(point3.y)).toBe(y); - } - }); - it('.getPublicKey() rejects invalid keys', () => { - for (const item of INVALID_ITEMS) { - expect(() => secp.getPublicKey(item as any)).toThrowError(); - } - }); - it('precompute', () => { - secp.utils.precompute(4); - const data = privatesTxt - .split('\n') - .filter((line) => line) - .map((line) => line.split(':')); - for (let [priv, x, y] of data) { - const point = secp.Point.fromPrivateKey(BigInt(priv)); - expect(toBEHex(point.x)).toBe(x); - expect(toBEHex(point.y)).toBe(y); - - const point2 = secp.Point.fromHex(secp.getPublicKey(toBEHex(BigInt(priv)))); - expect(toBEHex(point2.x)).toBe(x); - expect(toBEHex(point2.y)).toBe(y); - - const point3 = secp.Point.fromHex(secp.getPublicKey(hexToBytes(toBEHex(BigInt(priv))))); - expect(toBEHex(point3.x)).toBe(x); - expect(toBEHex(point3.y)).toBe(y); - } - }); - describe('Point', () => { - it('.isValidPoint()', () => { - for (const vector of points.valid.isPoint) { - const { P, expected } = vector; - if (expected) { - secp.Point.fromHex(P); - } else { - expect(() => secp.Point.fromHex(P)).toThrowError(); - } - } - }); - - it('.fromPrivateKey()', () => { - for (const vector of points.valid.pointFromScalar) { - const { d, expected } = vector; - let p = secp.Point.fromPrivateKey(d); - expect(p.toHex(true)).toBe(expected); - } - }); - - it('#toHex(compressed)', () => { - for (const vector of points.valid.pointCompress) { - const { P, compress, expected } = vector; - let p = secp.Point.fromHex(P); - expect(p.toHex(compress)).toBe(expected); - } - }); - - it('#toHex() roundtrip', () => { - fc.assert( - fc.property(FC_BIGINT, (x) => { - const point1 = secp.Point.fromPrivateKey(x); - const hex = point1.toHex(true); - expect(secp.Point.fromHex(hex).toHex(true)).toBe(hex); - }) - ); - }); - - it('#add(other)', () => { - for (const vector of points.valid.pointAdd) { - const { P, Q, expected } = vector; - let p = secp.Point.fromHex(P); - let q = secp.Point.fromHex(Q); - if (expected) { - expect(p.add(q).toHex(true)).toBe(expected); - } else { - if (!p.equals(q.negate())) { - expect(() => p.add(q).toHex(true)).toThrowError(); - } - } - } - }); - - it('#multiply(privateKey)', () => { - for (const vector of points.valid.pointMultiply) { - const { P, d, expected } = vector; - const p = secp.Point.fromHex(P); - if (expected) { - expect(p.multiply(hexToNumber(d)).toHex(true)).toBe(expected); - } else { - expect(() => { - p.multiply(hexToNumber(d)).toHex(true); - }).toThrowError(); - } - } - - for (const vector of points.invalid.pointMultiply) { - const { P, d } = vector; - if (hexToNumber(d) < secp.CURVE.n) { - expect(() => { - const p = secp.Point.fromHex(P); - p.multiply(hexToNumber(d)).toHex(true); - }).toThrowError(); - } - } - for (const num of [0n, 0, -1n, -1, 1.1]) { - expect(() => secp.Point.BASE.multiply(num)).toThrowError(); - } - }); - - // multiply() should equal multiplyUnsafe() - // it('JacobianPoint#multiplyUnsafe', () => { - // const p0 = new secp.JacobianPoint( - // 55066263022277343669578718895168534326250603453777594175500187360389116729240n, - // 32670510020758816978083085130507043184471273380659243275938904335757337482424n, - // 1n - // ); - // const z = 106011723082030650010038151861333186846790370053628296836951575624442507889495n; - // console.log(p0.multiply(z)); - // console.log(secp.JacobianPoint.normalizeZ([p0.multiplyUnsafe(z)])[0]) - // }); - }); - - describe('Signature', () => { - it('.fromCompactHex() roundtrip', () => { - fc.assert( - fc.property(FC_BIGINT, FC_BIGINT, (r, s) => { - const sig = new secp.Signature(r, s); - expect(secp.Signature.fromCompact(sig.toCompactHex())).toEqual(sig); - }) - ); - }); - - it('.fromDERHex() roundtrip', () => { - fc.assert( - fc.property(FC_BIGINT, FC_BIGINT, (r, s) => { - const sig = new secp.Signature(r, s); - expect(secp.Signature.fromDER(sig.toDERHex())).toEqual(sig); - }) - ); - }); - }); - - describe('.sign()', () => { - it('should create deterministic signatures with RFC 6979', async () => { - for (const vector of ecdsa.valid) { - let usig = await secp.sign(vector.m, vector.d, { der: false }); - let sig = hex(usig); - const vsig = vector.signature; - expect(sig.slice(0, 64)).toBe(vsig.slice(0, 64)); - expect(sig.slice(64, 128)).toBe(vsig.slice(64, 128)); - } - }); - - it('should not create invalid deterministic signatures with RFC 6979', async () => { - for (const vector of ecdsa.invalid.sign) { - expect(() => { - return secp.sign(vector.m, vector.d, { der: false }); - }).rejects.toThrowError(); - } - }); - - it('edge cases', () => { - // @ts-ignore - expect(async () => await secp.sign()).rejects.toThrowError(); - // @ts-ignore - expect(async () => await secp.sign('')).rejects.toThrowError(); - }); - - it('should create correct DER encoding against libsecp256k1', async () => { - const CASES = [ - [ - 'd1a9dc8ed4e46a6a3e5e594615ca351d7d7ef44df1e4c94c1802f3592183794b', - '304402203de2559fccb00c148574997f660e4d6f40605acc71267ee38101abf15ff467af02200950abdf40628fd13f547792ba2fc544681a485f2fdafb5c3b909a4df7350e6b', - ], - [ - '5f97983254982546d3976d905c6165033976ee449d300d0e382099fa74deaf82', - '3045022100c046d9ff0bd2845b9aa9dff9f997ecebb31e52349f80fe5a5a869747d31dcb88022011f72be2a6d48fe716b825e4117747b397783df26914a58139c3f4c5cbb0e66c', - ], - [ - '0d7017a96b97cd9be21cf28aada639827b2814a654a478c81945857196187808', - '3045022100d18990bba7832bb283e3ecf8700b67beb39acc73f4200ed1c331247c46edccc602202e5c8bbfe47ae159512c583b30a3fa86575cddc62527a03de7756517ae4c6c73', - ], - ]; - const privKey = hexToBytes( - '0101010101010101010101010101010101010101010101010101010101010101' - ); - for (let [msg, exp] of CASES) { - const res = await secp.sign(msg, privKey, { extraEntropy: undefined }); - expect(hex(res)).toBe(exp); - const rs = secp.Signature.fromDER(res).toCompactHex(); - expect(secp.Signature.fromCompact(rs).toDERHex()).toBe(exp); - } - }); - it('sign ecdsa extraData', async () => { - const ent1 = '0000000000000000000000000000000000000000000000000000000000000000'; - const ent2 = '0000000000000000000000000000000000000000000000000000000000000001'; - const ent3 = '6e723d3fd94ed5d2b6bdd4f123364b0f3ca52af829988a63f8afe91d29db1c33'; - const ent4 = 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'; - const ent5 = 'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff'; - - for (const e of ecdsa.extraEntropy) { - const sign = async (extraEntropy?: string) => { - const s = await secp.sign(e.m, e.d, { der: false, extraEntropy }); - return hex(s); - }; - expect(await sign()).toBe(e.signature); - expect(await sign(ent1)).toBe(e.extraEntropy0); - expect(await sign(ent2)).toBe(e.extraEntropy1); - expect(await sign(ent3)).toBe(e.extraEntropyRand); - expect(await sign(ent4)).toBe(e.extraEntropyN); - expect(await sign(ent5)).toBe(e.extraEntropyMax); - } - }); - }); - - describe('.verify()', () => { - it('should verify signature', async () => { - const MSG = '01'.repeat(32); - const PRIV_KEY = 0x2n; - const signature = await secp.sign(MSG, PRIV_KEY); - const publicKey = secp.getPublicKey(PRIV_KEY); - expect(publicKey.length).toBe(65); - expect(secp.verify(signature, MSG, publicKey)).toBe(true); - }); - it('should not verify signature with wrong public key', async () => { - const MSG = '01'.repeat(32); - const PRIV_KEY = 0x2n; - const WRONG_PRIV_KEY = 0x22n; - const signature = await secp.sign(MSG, PRIV_KEY); - const publicKey = secp.Point.fromPrivateKey(WRONG_PRIV_KEY).toHex(); - expect(publicKey.length).toBe(130); - expect(secp.verify(signature, MSG, publicKey)).toBe(false); - }); - it('should not verify signature with wrong hash', async () => { - const MSG = '01'.repeat(32); - const PRIV_KEY = 0x2n; - const WRONG_MSG = '11'.repeat(32); - const signature = await secp.sign(MSG, PRIV_KEY); - const publicKey = secp.getPublicKey(PRIV_KEY); - expect(publicKey.length).toBe(65); - expect(secp.verify(signature, WRONG_MSG, publicKey)).toBe(false); - }); - it('should verify random signatures', async () => - fc.assert( - fc.asyncProperty( - FC_BIGINT, - fc.hexaString({ minLength: 64, maxLength: 64 }), - async (privKey, msg) => { - const pub = secp.getPublicKey(privKey); - const sig = await secp.sign(msg, privKey); - expect(secp.verify(sig, msg, pub)).toBeTruthy(); - } - ) - )); - it('should not verify signature with invalid r/s', () => { - const msg = new Uint8Array([ - 0xbb, 0x5a, 0x52, 0xf4, 0x2f, 0x9c, 0x92, 0x61, 0xed, 0x43, 0x61, 0xf5, 0x94, 0x22, 0xa1, - 0xe3, 0x00, 0x36, 0xe7, 0xc3, 0x2b, 0x27, 0x0c, 0x88, 0x07, 0xa4, 0x19, 0xfe, 0xca, 0x60, - 0x50, 0x23, - ]); - const x = 100260381870027870612475458630405506840396644859280795015145920502443964769584n; - const y = 41096923727651821103518389640356553930186852801619204169823347832429067794568n; - const r = 1n; - const s = 115792089237316195423570985008687907852837564279074904382605163141518162728904n; - - const pub = new secp.Point(x, y); - const signature = new secp.Signature(2n, 2n); - // @ts-ignore - signature.r = r; - // @ts-ignore - signature.s = s; - - const verified = secp.verify(signature, msg, pub); - // Verifies, but it shouldn't, because signature S > curve order - expect(verified).toBeFalsy(); - }); - it('should not verify msg = curve order', async () => { - const msg = 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'; - const x = 55066263022277343669578718895168534326250603453777594175500187360389116729240n; - const y = 32670510020758816978083085130507043184471273380659243275938904335757337482424n; - const r = 104546003225722045112039007203142344920046999340768276760147352389092131869133n; - const s = 96900796730960181123786672629079577025401317267213807243199432755332205217369n; - const pub = new secp.Point(x, y); - const sig = new secp.Signature(r, s); - expect(secp.verify(sig, msg, pub)).toBeFalsy(); - }); - it('should verify non-strict msg bb5a...', async () => { - const msg = 'bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca605023'; - const x = 3252872872578928810725465493269682203671229454553002637820453004368632726370n; - const y = 17482644437196207387910659778872952193236850502325156318830589868678978890912n; - const r = 432420386565659656852420866390673177323n; - const s = 115792089237316195423570985008687907852837564279074904382605163141518161494334n; - const pub = new secp.Point(x, y); - const sig = new secp.Signature(r, s); - expect(secp.verify(sig, msg, pub, { strict: false })).toBeTruthy(); - }); - it('should not verify invalid deterministic signatures with RFC 6979', () => { - for (const vector of ecdsa.invalid.verify) { - const res = secp.verify(vector.signature, vector.m, vector.Q); - expect(res).toBeFalsy(); - } - }); - }); - - describe('schnorr', () => { - // index,secret key,public key,aux_rand,message,signature,verification result,comment - const vectors = schCsv - .split('\n') - .map((line: string) => line.split(',')) - .slice(1, -1); - for (let vec of vectors) { - const [index, sec, pub, rnd, msg, expSig, passes, comment] = vec; - it(`should sign with Schnorr scheme vector ${index}`, async () => { - if (sec) { - expect(hex(secp.schnorr.getPublicKey(sec))).toBe(pub.toLowerCase()); - const sig = await secp.schnorr.sign(msg, sec, rnd); - const sigS = secp.schnorr.signSync(msg, sec, rnd); - expect(hex(sig)).toBe(expSig.toLowerCase()); - expect(hex(sigS)).toBe(expSig.toLowerCase()); - expect(await secp.schnorr.verify(sigS, msg, pub)).toBe(true); - expect(secp.schnorr.verifySync(sig, msg, pub)).toBe(true); - } else { - const passed = await secp.schnorr.verify(expSig, msg, pub); - const passedS = secp.schnorr.verifySync(expSig, msg, pub); - if (passes === 'TRUE') { - expect(passed).toBeTruthy(); - expect(passedS).toBeTruthy(); - } else { - expect(passed).toBeFalsy(); - expect(passedS).toBeFalsy(); - } - } - }); - } - }); - - describe('.recoverPublicKey()', () => { - it('should recover public key from recovery bit', async () => { - const message = '00000000000000000000000000000000000000000000000000000000deadbeef'; - const privateKey = 123456789n; - const publicKey = secp.Point.fromHex(secp.getPublicKey(privateKey)).toHex(false); - const [signature, recovery] = await secp.sign(message, privateKey, { recovered: true }); - const recoveredPubkey = secp.recoverPublicKey(message, signature, recovery); - expect(recoveredPubkey).not.toBe(null); - expect(hex(recoveredPubkey!)).toBe(publicKey); - expect(secp.verify(signature, message, publicKey)).toBe(true); - }); - it('should not recover zero points', () => { - const msgHash = '6b8d2c81b11b2d699528dde488dbdf2f94293d0d33c32e347f255fa4a6c1f0a9'; - const sig = - '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f817986b8d2c81b11b2d699528dde488dbdf2f94293d0d33c32e347f255fa4a6c1f0a9'; - const recovery = 0; - expect(() => secp.recoverPublicKey(msgHash, sig, recovery)).toThrowError(); - }); - it('should handle all-zeros msghash', async () => { - const privKey = secp.utils.randomPrivateKey(); - const pub = secp.getPublicKey(privKey); - const zeros = '0000000000000000000000000000000000000000000000000000000000000000'; - const [sig, rec] = await secp.sign(zeros, privKey, { recovered: true }); - const recoveredKey = secp.recoverPublicKey(zeros, sig, rec); - expect(recoveredKey).toEqual(pub); - }); - it('should handle RFC 6979 vectors', async () => { - for (const vector of ecdsa.valid) { - if (secp.utils.mod(hexToNumber(vector.m), secp.CURVE.n) === 0n) continue; - let [usig, rec] = await secp.sign(vector.m, vector.d, { der: false, recovered: true }); - let sig = hex(usig); - const vpub = secp.getPublicKey(vector.d); - const recovered = secp.recoverPublicKey(vector.m, sig, rec)!; - expect(hex(recovered)).toBe(hex(vpub)); - } - }); - }); - - describe('.getSharedSecret()', () => { - // TODO: Real implementation. - function derToPub(der: string) { - return der.slice(46); - } - it('should produce correct results', () => { - // TODO: Once der is there, run all tests. - for (const vector of ecdh.testGroups[0].tests.slice(0, 230)) { - if (vector.result === 'invalid' || vector.private.length !== 64) { - expect(() => { - secp.getSharedSecret(vector.private, derToPub(vector.public), true); - }).toThrowError(); - } else if (vector.result === 'valid') { - const res = secp.getSharedSecret(vector.private, derToPub(vector.public), true); - expect(hex(res.slice(1))).toBe(`${vector.shared}`); - } - } - }); - it('priv/pub order matters', () => { - for (const vector of ecdh.testGroups[0].tests.slice(0, 100)) { - if (vector.result === 'valid') { - let priv = vector.private; - priv = priv.length === 66 ? priv.slice(2) : priv; - expect(() => secp.getSharedSecret(derToPub(vector.public), priv, true)).toThrowError(); - } - } - }); - it('rejects invalid keys', () => { - expect(() => secp.getSharedSecret('01', '02')).toThrowError(); - }); - }); - - describe('utils', () => { - it('isValidPrivateKey()', () => { - for (const vector of privates.valid.isPrivate) { - const { d, expected } = vector; - expect(secp.utils.isValidPrivateKey(d)).toBe(expected); - } - }); - const normal = secp.utils._normalizePrivateKey; - type Hex = string | Uint8Array; - type PrivKey = Hex | bigint | number; - const tweakUtils = { - privateAdd: (privateKey: PrivKey, tweak: Hex): Uint8Array => { - const p = normal(privateKey); - const t = normal(tweak); - return secp.utils._bigintTo32Bytes(secp.utils.mod(p + t, secp.CURVE.n)); - }, - - privateNegate: (privateKey: PrivKey): Uint8Array => { - const p = normal(privateKey); - return secp.utils._bigintTo32Bytes(secp.CURVE.n - p); - }, - - pointAddScalar: (p: Hex, tweak: Hex, isCompressed?: boolean): Uint8Array => { - const P = secp.Point.fromHex(p); - const t = normal(tweak); - const Q = secp.Point.BASE.multiplyAndAddUnsafe(P, t, 1n); - if (!Q) throw new Error('Tweaked point at infinity'); - return Q.toRawBytes(isCompressed); - }, - - pointMultiply: (p: Hex, tweak: Hex, isCompressed?: boolean): Uint8Array => { - const P = secp.Point.fromHex(p); - const h = typeof tweak === 'string' ? tweak : secp.utils.bytesToHex(tweak); - const t = BigInt(`0x${h}`); - return P.multiply(t).toRawBytes(isCompressed); - }, - }; - - it('privateAdd()', () => { - for (const vector of privates.valid.add) { - const { a, b, expected } = vector; - expect(secp.utils.bytesToHex(tweakUtils.privateAdd(a, b))).toBe(expected); - } - }); - it('privateNegate()', () => { - for (const vector of privates.valid.negate) { - const { a, expected } = vector; - expect(secp.utils.bytesToHex(tweakUtils.privateNegate(a))).toBe(expected); - } - }); - it('pointAddScalar()', () => { - for (const vector of points.valid.pointAddScalar) { - const { description, P, d, expected } = vector; - const compressed = !!expected && expected.length === 66; // compressed === 33 bytes - expect(secp.utils.bytesToHex(tweakUtils.pointAddScalar(P, d, compressed))).toBe(expected); - } - }); - it('pointAddScalar() invalid', () => { - for (const vector of points.invalid.pointAddScalar) { - const { P, d, exception } = vector; - expect(() => tweakUtils.pointAddScalar(P, d)).toThrowError(RegExp(`${exception}`)); - } - }); - it('pointMultiply()', () => { - for (const vector of points.valid.pointMultiply) { - const { P, d, expected } = vector; - expect(secp.utils.bytesToHex(tweakUtils.pointMultiply(P, d, true))).toBe(expected); - } - }); - it('pointMultiply() invalid', () => { - for (const vector of points.invalid.pointMultiply) { - const { P, d, exception } = vector; - expect(() => tweakUtils.pointMultiply(P, d)).toThrowError(RegExp(`${exception}`)); - } - }); - }); - - describe('wychenproof vectors', () => { - it('should pass all tests', async () => { - for (let group of wp.testGroups) { - const pubKey = secp.Point.fromHex(group.key.uncompressed); - for (let test of group.tests) { - const m = await secp.utils.sha256(hexToBytes(test.msg)); - if (test.result === 'valid' || test.result === 'acceptable') { - const verified = secp.verify(test.sig, m, pubKey); - if (secp.Signature.fromDER(test.sig).hasHighS()) { - expect(verified).toBeFalsy(); - } else { - expect(verified).toBeTruthy(); - } - } else if (test.result === 'invalid') { - let failed = false; - try { - const verified = secp.verify(test.sig, m, pubKey); - if (!verified) failed = true; - } catch (error) { - failed = true; - } - expect(failed).toBeTruthy(); - } else { - expect(false).toBeTruthy(); - } - } - } - }); - }); -}); - -describe('JacobianPoint', () => { - const JZERO = secp.utils._JacobianPoint.ZERO; - const AZERO = secp.utils._JacobianPoint.fromAffine(secp.Point.ZERO); - expect(AZERO.equals(JZERO)).toBeTruthy(); - expect(AZERO.toAffine().equals(JZERO.toAffine())).toBeTruthy(); -}); diff --git a/test/secp256k1.helpers.mjs b/test/secp256k1.helpers.mjs new file mode 100644 index 0000000..fafcfcc --- /dev/null +++ b/test/secp256k1.helpers.mjs @@ -0,0 +1,74 @@ +import * as secp_1 from '../index.mjs'; +export { secp_1 as secp }; +import * as secp256k1 from '../index.mjs'; +import { hmac } from '@noble/hashes/hmac'; +import { sha256 } from '@noble/hashes/sha256'; +secp256k1.etc.hmacSha256Sync = (key, ...msgs) => hmac(sha256, key, secp256k1.etc.concatBytes(...msgs)); +const { bytesToNumberBE: b2n, hexToBytes: h2b } = secp256k1.etc; +export const DER = { + // asn.1 DER encoding utils + Err: class DERErr extends Error { + constructor(m = '') { + super(m); + } + }, + _parseInt(data) { + const { Err: E } = DER; + if (data.length < 2 || data[0] !== 0x02) + throw new E('Invalid signature integer tag'); + const len = data[1]; + const res = data.subarray(2, len + 2); + if (!len || res.length !== len) + throw new E('Invalid signature integer: wrong length'); + // https://crypto.stackexchange.com/a/57734 Leftmost bit of first byte is 'negative' flag, + // since we always use positive integers here. It must always be empty: + // - add zero byte if exists + // - if next byte doesn't have a flag, leading zero is not allowed (minimal encoding) + if (res[0] & 0b10000000) + throw new E('Invalid signature integer: negative'); + if (res[0] === 0x00 && !(res[1] & 0b10000000)) + throw new E('Invalid signature integer: unnecessary leading zero'); + return { d: b2n(res), l: data.subarray(len + 2) }; // d is data, l is left + }, + toSig(hex) { + // parse DER signature + const { Err: E } = DER; + const data = typeof hex === 'string' ? h2b(hex) : hex; + if (!(data instanceof Uint8Array)) + throw new Error('ui8a expected'); + let l = data.length; + if (l < 2 || data[0] != 0x30) + throw new E('Invalid signature tag'); + if (data[1] !== l - 2) + throw new E('Invalid signature: incorrect length'); + const { d: r, l: sBytes } = DER._parseInt(data.subarray(2)); + const { d: s, l: rBytesLeft } = DER._parseInt(sBytes); + if (rBytesLeft.length) + throw new E('Invalid signature: left bytes after parsing'); + return { r, s }; + }, + hexFromSig(sig) { + const slice = (s) => (Number.parseInt(s[0], 16) >= 8 ? '00' + s : s); // slice DER + const h = (num) => { + const hex = num.toString(16); + return hex.length & 1 ? `0${hex}` : hex; + }; + const s = slice(h(sig.s)); + const r = slice(h(sig.r)); + const shl = s.length / 2; + const rhl = r.length / 2; + const sl = h(shl); + const rl = h(rhl); + return `30${h(rhl + shl + 4)}02${rl}${r}02${sl}${s}`; + }, +}; +export const sigFromDER = (der) => { + const { r, s } = DER.toSig(der); + return new secp256k1.Signature(r, s); +}; +export const sigToDER = (sig) => DER.hexFromSig(sig); +export const selectHash = (secp) => sha256; +export const normVerifySig = (s) => DER.toSig(s); +export const bytesToNumberBE = secp256k1.etc.bytesToNumberBE; +export const numberToBytesBE = secp256k1.etc.numberToBytesBE; +export const mod = secp256k1.etc.mod; diff --git a/test/secp256k1.helpers.ts b/test/secp256k1.helpers.ts new file mode 100644 index 0000000..5265484 --- /dev/null +++ b/test/secp256k1.helpers.ts @@ -0,0 +1,68 @@ +export * as secp from '../index.js'; +import * as secp256k1 from '../index.js'; +import { hmac } from '@noble/hashes/hmac'; +import { sha256 } from '@noble/hashes/sha256'; +secp256k1.etc.hmacSha256Sync = (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(sha256, key, secp256k1.etc.concatBytes(...msgs)) + +const { bytesToNumberBE: b2n, hexToBytes: h2b } = secp256k1.etc; +export const DER = { + // asn.1 DER encoding utils + Err: class DERErr extends Error { + constructor(m = '') { + super(m); + } + }, + _parseInt(data: Uint8Array): { d: bigint; l: Uint8Array } { + const { Err: E } = DER; + if (data.length < 2 || data[0] !== 0x02) throw new E('Invalid signature integer tag'); + const len = data[1]; + const res = data.subarray(2, len + 2); + if (!len || res.length !== len) throw new E('Invalid signature integer: wrong length'); + // https://crypto.stackexchange.com/a/57734 Leftmost bit of first byte is 'negative' flag, + // since we always use positive integers here. It must always be empty: + // - add zero byte if exists + // - if next byte doesn't have a flag, leading zero is not allowed (minimal encoding) + if (res[0] & 0b10000000) throw new E('Invalid signature integer: negative'); + if (res[0] === 0x00 && !(res[1] & 0b10000000)) + throw new E('Invalid signature integer: unnecessary leading zero'); + return { d: b2n(res), l: data.subarray(len + 2) }; // d is data, l is left + }, + toSig(hex: string | Uint8Array): { r: bigint; s: bigint } { + // parse DER signature + const { Err: E } = DER; + const data = typeof hex === 'string' ? h2b(hex) : hex; + if (!(data instanceof Uint8Array)) throw new Error('ui8a expected'); + let l = data.length; + if (l < 2 || data[0] != 0x30) throw new E('Invalid signature tag'); + if (data[1] !== l - 2) throw new E('Invalid signature: incorrect length'); + const { d: r, l: sBytes } = DER._parseInt(data.subarray(2)); + const { d: s, l: rBytesLeft } = DER._parseInt(sBytes); + if (rBytesLeft.length) throw new E('Invalid signature: left bytes after parsing'); + return { r, s }; + }, + hexFromSig(sig: { r: bigint; s: bigint }): string { + const slice = (s: string): string => (Number.parseInt(s[0], 16) >= 8 ? '00' + s : s); // slice DER + const h = (num: number | bigint) => { + const hex = num.toString(16); + return hex.length & 1 ? `0${hex}` : hex; + }; + const s = slice(h(sig.s)); + const r = slice(h(sig.r)); + const shl = s.length / 2; + const rhl = r.length / 2; + const sl = h(shl); + const rl = h(rhl); + return `30${h(rhl + shl + 4)}02${rl}${r}02${sl}${s}`; + }, +}; + +export const sigFromDER = (der: string | Uint8Array) => { + const { r, s } = DER.toSig(der); + return new secp256k1.Signature(r, s); +}; +export const sigToDER = (sig: any) => DER.hexFromSig(sig); +export const selectHash = (secp: any) => sha256; +export const normVerifySig = (s: any) => DER.toSig(s); +export const bytesToNumberBE = secp256k1.etc.bytesToNumberBE; +export const numberToBytesBE = secp256k1.etc.numberToBytesBE; +export const mod = secp256k1.etc.mod; diff --git a/test/secp256k1.test.mjs b/test/secp256k1.test.mjs new file mode 100644 index 0000000..2fbb4c1 --- /dev/null +++ b/test/secp256k1.test.mjs @@ -0,0 +1,549 @@ +import { hexToBytes, bytesToHex as hex } from '@noble/hashes/utils'; +import { deepStrictEqual, throws } from 'node:assert'; +import * as fc from 'fast-check'; +import { readFileSync } from 'node:fs'; +import { should, describe } from 'micro-should'; +// prettier-ignore +import { + secp, sigFromDER, sigToDER, selectHash, normVerifySig, mod, bytesToNumberBE, numberToBytesBE +} from './secp256k1.helpers.mjs'; + +import { default as ecdsa } from './vectors/secp256k1/ecdsa.json' with { type: 'json' }; +import { default as ecdh } from './wycheproof/ecdh_secp256k1_test.json' with { type: 'json' }; +import { default as privates } from './vectors/secp256k1/privates.json' with { type: 'json' }; +import { default as points } from './vectors/secp256k1/points.json' with { type: 'json' }; +import { default as wp } from './wycheproof/ecdsa_secp256k1_sha256_test.json' with { type: 'json' }; + +// Any changes to the file will need to be aware of the fact +// the file is shared between noble-curves and noble-secp256k1. + +const Point = secp.ProjectivePoint; +const privatesTxt = readFileSync('./test/vectors/secp256k1/privates-2.txt', 'utf-8'); + +const FC_BIGINT = fc.bigInt(1n + 1n, secp.CURVE.n - 1n); +// prettier-ignore +const INVALID_ITEMS = ['deadbeef', Math.pow(2, 53), [1], 'xyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxyxyzxyzxy', secp.CURVE.n + 2n]; + +const toBEHex = (n) => n.toString(16).padStart(64, '0'); + +function hexToNumber(hex) { + if (typeof hex !== 'string') { + throw new Error('hexToNumber: expected string, got ' + typeof hex); + } + // Big Endian + return BigInt(`0x${hex}`); +} + +describe('secp256k1', () => { + should('getPublicKey()', () => { + const data = privatesTxt + .split('\n') + .filter((line) => line) + .map((line) => line.split(':')); + for (let [priv, x, y] of data) { + const point = Point.fromPrivateKey(BigInt(priv)); + deepStrictEqual(toBEHex(point.x), x); + deepStrictEqual(toBEHex(point.y), y); + + const point2 = Point.fromHex(secp.getPublicKey(toBEHex(BigInt(priv)))); + deepStrictEqual(toBEHex(point2.x), x); + deepStrictEqual(toBEHex(point2.y), y); + + const point3 = Point.fromHex(secp.getPublicKey(hexToBytes(toBEHex(BigInt(priv))))); + deepStrictEqual(toBEHex(point3.x), x); + deepStrictEqual(toBEHex(point3.y), y); + } + }); + should('getPublicKey() rejects invalid keys', () => { + for (const item of INVALID_ITEMS) { + throws(() => secp.getPublicKey(item)); + } + }); + should('precompute', () => { + secp.utils.precompute(4); + const data = privatesTxt + .split('\n') + .filter((line) => line) + .map((line) => line.split(':')); + for (let [priv, x, y] of data) { + const point = Point.fromPrivateKey(BigInt(priv)); + deepStrictEqual(toBEHex(point.x), x); + deepStrictEqual(toBEHex(point.y), y); + + const point2 = Point.fromHex(secp.getPublicKey(toBEHex(BigInt(priv)))); + deepStrictEqual(toBEHex(point2.x), x); + deepStrictEqual(toBEHex(point2.y), y); + + const point3 = Point.fromHex(secp.getPublicKey(hexToBytes(toBEHex(BigInt(priv))))); + deepStrictEqual(toBEHex(point3.x), x); + deepStrictEqual(toBEHex(point3.y), y); + } + }); + + describe('Point', () => { + should('fromHex() assertValidity', () => { + for (const vector of points.valid.isPoint) { + const { P, expected } = vector; + if (expected) { + Point.fromHex(P); + } else { + throws(() => Point.fromHex(P)); + } + } + }); + + should('.fromPrivateKey()', () => { + for (const vector of points.valid.pointFromScalar) { + const { d, expected } = vector; + let p = Point.fromPrivateKey(d); + deepStrictEqual(p.toHex(true), expected); + } + }); + + should('#toHex(compressed)', () => { + for (const vector of points.valid.pointCompress) { + const { P, compress, expected } = vector; + let p = Point.fromHex(P); + deepStrictEqual(p.toHex(compress), expected); + } + }); + + should('#toHex() roundtrip (failed case)', () => { + const point1 = + Point.fromPrivateKey( + 88572218780422190464634044548753414301110513745532121983949500266768436236425n + ); + // const hex = point1.toHex(true); + // deepStrictEqual(Point.fromHex(hex).toHex(true), hex); + }); + + should('#toHex() roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, (x) => { + const point1 = Point.fromPrivateKey(x); + const hex = point1.toHex(true); + deepStrictEqual(Point.fromHex(hex).toHex(true), hex); + }) + ); + }); + + should('#add(other)', () => { + for (const vector of points.valid.pointAdd) { + const { P, Q, expected } = vector; + let p = Point.fromHex(P); + let q = Point.fromHex(Q); + if (expected) { + deepStrictEqual(p.add(q).toHex(true), expected); + } else { + if (!p.equals(q.negate())) { + throws(() => p.add(q).toHex(true)); + } + } + } + }); + + should('#multiply(privateKey)', () => { + for (const vector of points.valid.pointMultiply) { + const { P, d, expected } = vector; + const p = Point.fromHex(P); + if (expected) { + deepStrictEqual(p.multiply(hexToNumber(d)).toHex(true), expected, P); + } else { + throws(() => { + p.multiply(hexToNumber(d)).toHex(true); + }); + } + } + + for (const vector of points.invalid.pointMultiply) { + const { P, d } = vector; + if (hexToNumber(d) < secp.CURVE.n) { + throws(() => { + const p = Point.fromHex(P); + p.multiply(hexToNumber(d)).toHex(true); + }); + } + } + for (const num of [0n, 0, -1n, -1, 1.1]) { + throws(() => Point.BASE.multiply(num)); + } + }); + }); + + // multiply() should equal multiplyUnsafe() + // should('ProjectivePoint#multiplyUnsafe', () => { + // const p0 = new secp.ProjectivePoint( + // 55066263022277343669578718895168534326250603453777594175500187360389116729240n, + // 32670510020758816978083085130507043184471273380659243275938904335757337482424n, + // 1n + // ); + // const z = 106011723082030650010038151861333186846790370053628296836951575624442507889495n; + // console.log(p0.multiply(z)); + // console.log(secp.ProjectivePoint.normalizeZ([p0.multiplyUnsafe(z)])[0]) + // }); + describe('Signature', () => { + should('.fromCompactHex() roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, FC_BIGINT, (r, s) => { + const sig = new secp.Signature(r, s); + deepStrictEqual(secp.Signature.fromCompact(sig.toCompactHex()), sig); + }) + ); + }); + + should('.fromDERHex() roundtrip', () => { + fc.assert( + fc.property(FC_BIGINT, FC_BIGINT, (r, s) => { + const sig = new secp.Signature(r, s); + deepStrictEqual(sigFromDER(sigToDER(sig)), sig); + }) + ); + }); + }); + + describe('sign()', () => { + should('create deterministic signatures with RFC 6979', () => { + for (const vector of ecdsa.valid) { + let usig = secp.sign(vector.m, vector.d); + let sig = usig.toCompactHex(); + const vsig = vector.signature; + deepStrictEqual(sig.slice(0, 64), vsig.slice(0, 64)); + deepStrictEqual(sig.slice(64, 128), vsig.slice(64, 128)); + } + }); + + should('not create invalid deterministic signatures with RFC 6979', () => { + for (const vector of ecdsa.invalid.sign) { + throws(() => secp.sign(vector.m, vector.d)); + } + }); + + should('edge cases', () => { + throws(() => secp.sign()); + throws(() => secp.sign('')); + }); + + should('create correct DER encoding against libsecp256k1', () => { + const CASES = [ + [ + 'd1a9dc8ed4e46a6a3e5e594615ca351d7d7ef44df1e4c94c1802f3592183794b', + '304402203de2559fccb00c148574997f660e4d6f40605acc71267ee38101abf15ff467af02200950abdf40628fd13f547792ba2fc544681a485f2fdafb5c3b909a4df7350e6b', + ], + [ + '5f97983254982546d3976d905c6165033976ee449d300d0e382099fa74deaf82', + '3045022100c046d9ff0bd2845b9aa9dff9f997ecebb31e52349f80fe5a5a869747d31dcb88022011f72be2a6d48fe716b825e4117747b397783df26914a58139c3f4c5cbb0e66c', + ], + [ + '0d7017a96b97cd9be21cf28aada639827b2814a654a478c81945857196187808', + '3045022100d18990bba7832bb283e3ecf8700b67beb39acc73f4200ed1c331247c46edccc602202e5c8bbfe47ae159512c583b30a3fa86575cddc62527a03de7756517ae4c6c73', + ], + ]; + const privKey = hexToBytes( + '0101010101010101010101010101010101010101010101010101010101010101' + ); + for (const [msg, exp] of CASES) { + const res = secp.sign(msg, privKey, { extraEntropy: undefined }); + deepStrictEqual(sigToDER(res), exp); + const rs = sigFromDER(sigToDER(res)).toCompactHex(); + deepStrictEqual(sigToDER(secp.Signature.fromCompact(rs)), exp); + } + }); + should('handle {extraData} option', () => { + const ent1 = '0000000000000000000000000000000000000000000000000000000000000000'; + const ent2 = '0000000000000000000000000000000000000000000000000000000000000001'; + const ent3 = '6e723d3fd94ed5d2b6bdd4f123364b0f3ca52af829988a63f8afe91d29db1c33'; + const ent4 = 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'; + const ent5 = 'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff'; + + for (const e of ecdsa.extraEntropy) { + const sign = (extraEntropy) => { + const s = secp.sign(e.m, e.d, { extraEntropy }).toCompactHex(); + return s; + }; + deepStrictEqual(sign(), e.signature); + deepStrictEqual(sign(ent1), e.extraEntropy0); + deepStrictEqual(sign(ent2), e.extraEntropy1); + deepStrictEqual(sign(ent3), e.extraEntropyRand); + deepStrictEqual(sign(ent4), e.extraEntropyN); + deepStrictEqual(sign(ent5), e.extraEntropyMax); + } + }); + }); + + describe('verify()', () => { + should('verify signature', () => { + const MSG = '01'.repeat(32); + const PRIV_KEY = 0x2n; + const signature = secp.sign(MSG, PRIV_KEY); + const publicKey = secp.getPublicKey(PRIV_KEY); + deepStrictEqual(publicKey.length, 33); + deepStrictEqual(secp.verify(signature, MSG, publicKey), true); + }); + should(' not verify signature with wrong public key', () => { + const MSG = '01'.repeat(32); + const PRIV_KEY = '01'.repeat(32); + const WRONG_PRIV_KEY = '02'.repeat(32); + const signature = secp.sign(MSG, PRIV_KEY); + const publicKey = Point.fromPrivateKey(WRONG_PRIV_KEY).toHex(); + deepStrictEqual(publicKey.length, 66); + deepStrictEqual(secp.verify(signature, MSG, publicKey), false); + }); + should('not verify signature with wrong hash', () => { + const MSG = '01'.repeat(32); + const PRIV_KEY = 0x2n; + const WRONG_MSG = '11'.repeat(32); + const signature = secp.sign(MSG, PRIV_KEY); + const publicKey = secp.getPublicKey(PRIV_KEY); + deepStrictEqual(publicKey.length, 33); + deepStrictEqual(secp.verify(signature, WRONG_MSG, publicKey), false); + }); + should('verify random signatures', () => + fc.assert( + fc.property(FC_BIGINT, fc.hexaString({ minLength: 64, maxLength: 64 }), (privKey, msg) => { + const pub = secp.getPublicKey(privKey); + const sig = secp.sign(msg, privKey); + deepStrictEqual(secp.verify(sig, msg, pub), true); + }) + ) + ); + should('not verify signature with invalid r/s', () => { + const msg = new Uint8Array([ + 0xbb, 0x5a, 0x52, 0xf4, 0x2f, 0x9c, 0x92, 0x61, 0xed, 0x43, 0x61, 0xf5, 0x94, 0x22, 0xa1, + 0xe3, 0x00, 0x36, 0xe7, 0xc3, 0x2b, 0x27, 0x0c, 0x88, 0x07, 0xa4, 0x19, 0xfe, 0xca, 0x60, + 0x50, 0x23, + ]); + const x = 100260381870027870612475458630405506840396644859280795015145920502443964769584n; + const y = 41096923727651821103518389640356553930186852801619204169823347832429067794568n; + const r = 1n; + const s = 115792089237316195423570985008687907852837564279074904382605163141518162728904n; + + const pub = new Point(x, y, 1n).toRawBytes(); + const signature = new secp.Signature(2n, 2n); + signature.r = r; + signature.s = s; + + const verified = secp.verify(signature, msg, pub); + // Verifies, but it shouldn't, because signature S > curve order + deepStrictEqual(verified, false); + }); + should('not verify msg = curve order', () => { + const msg = 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'; + const x = 55066263022277343669578718895168534326250603453777594175500187360389116729240n; + const y = 32670510020758816978083085130507043184471273380659243275938904335757337482424n; + const r = 104546003225722045112039007203142344920046999340768276760147352389092131869133n; + const s = 96900796730960181123786672629079577025401317267213807243199432755332205217369n; + const pub = new Point(x, y, 1n).toRawBytes(); + const sig = new secp.Signature(r, s); + deepStrictEqual(secp.verify(sig, msg, pub), false); + }); + should('verify non-strict msg bb5a...', () => { + const msg = 'bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca605023'; + const x = 3252872872578928810725465493269682203671229454553002637820453004368632726370n; + const y = 17482644437196207387910659778872952193236850502325156318830589868678978890912n; + const r = 432420386565659656852420866390673177323n; + const s = 115792089237316195423570985008687907852837564279074904382605163141518161494334n; + const pub = new Point(x, y, 1n).toRawBytes(); + const sig = new secp.Signature(r, s); + deepStrictEqual(secp.verify(sig, msg, pub, { lowS: false }), true); + }); + should('not verify invalid deterministic signatures with RFC 6979', () => { + for (const vector of ecdsa.invalid.verify) { + const res = secp.verify(vector.signature, vector.m, vector.Q); + deepStrictEqual(res, false); + } + }); + }); + describe('recoverPublicKey()', () => { + should('recover public key from recovery bit', () => { + const message = '00000000000000000000000000000000000000000000000000000000deadbeef'; + const privateKey = 123456789n; + const publicKey = Point.fromHex(secp.getPublicKey(privateKey)).toHex(false); + const sig = secp.sign(message, privateKey); + const recoveredPubkey = sig.recoverPublicKey(message); + // const recoveredPubkey = secp.recoverPublicKey(message, signature, recovery); + deepStrictEqual(recoveredPubkey !== null, true); + deepStrictEqual(recoveredPubkey.toHex(false), publicKey); + deepStrictEqual(secp.verify(sig, message, publicKey), true); + }); + should('not recover zero points', () => { + const msgHash = '6b8d2c81b11b2d699528dde488dbdf2f94293d0d33c32e347f255fa4a6c1f0a9'; + const sig = + '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f817986b8d2c81b11b2d699528dde488dbdf2f94293d0d33c32e347f255fa4a6c1f0a9'; + const recovery = 0; + throws(() => secp.recoverPublicKey(msgHash, sig, recovery)); + }); + should('handle all-zeros msghash', () => { + const privKey = secp.utils.randomPrivateKey(); + const pub = secp.getPublicKey(privKey); + const zeros = '0000000000000000000000000000000000000000000000000000000000000000'; + const sig = secp.sign(zeros, privKey); + const recoveredKey = sig.recoverPublicKey(zeros); + deepStrictEqual(recoveredKey.toRawBytes(), pub); + }); + should('handle RFC 6979 vectors', () => { + for (const vector of ecdsa.valid) { + let usig = secp.sign(vector.m, vector.d); + let sig = sigToDER(usig); + const vpub = secp.getPublicKey(vector.d); + const recovered = usig.recoverPublicKey(vector.m); + deepStrictEqual(recovered.toHex(), hex(vpub)); + } + }); + }); + + describe('getSharedSecret()', () => { + // TODO: Real implementation. + function derToPub(der) { + return der.slice(46); + } + should('produce correct results', () => { + // TODO: Once der is there, run all tests. + for (const vector of ecdh.testGroups[0].tests.slice(0, 230)) { + if (vector.result === 'invalid' || vector.private.length !== 64) { + throws(() => { + secp.getSharedSecret(vector.private, derToPub(vector.public), true); + }); + } else if (vector.result === 'valid') { + const res = secp.getSharedSecret(vector.private, derToPub(vector.public), true); + deepStrictEqual(hex(res.slice(1)), `${vector.shared}`); + } + } + }); + should('priv/pub order matters', () => { + for (const vector of ecdh.testGroups[0].tests.slice(0, 100)) { + if (vector.result === 'valid') { + let priv = vector.private; + priv = priv.length === 66 ? priv.slice(2) : priv; + throws(() => secp.getSharedSecret(derToPub(vector.public), priv, true)); + } + } + }); + should('reject invalid keys', () => { + throws(() => secp.getSharedSecret('01', '02')); + }); + }); + + should('utils.isValidPrivateKey()', () => { + for (const vector of privates.valid.isPrivate) { + const { d, expected } = vector; + deepStrictEqual(secp.utils.isValidPrivateKey(d), expected); + } + }); + should('have proper curve equation in assertValidity()', () => { + throws(() => { + const { Fp } = secp.CURVE; + let point = new Point(Fp.create(-2n), Fp.create(-1n), Fp.create(1n)); + point.assertValidity(); + }); + }); + + describe('tweak utilities (legacy)', () => { + const normal = secp.utils.normPrivateKeyToScalar; + const tweakUtils = { + privateAdd: (privateKey, tweak) => { + return numberToBytesBE(mod(normal(privateKey) + normal(tweak), secp.CURVE.n), 32); + }, + + privateNegate: (privateKey) => { + return numberToBytesBE(mod(-normal(privateKey), secp.CURVE.n), 32); + }, + + pointAddScalar: (p, tweak, isCompressed) => { + const tweaked = Point.fromHex(p).add(Point.fromPrivateKey(tweak)); + if (tweaked.equals(Point.ZERO)) throw new Error('Tweaked point at infinity'); + return tweaked.toRawBytes(isCompressed); + }, + + pointMultiply: (p, tweak, isCompressed) => { + if (typeof tweak === 'string') tweak = hexToBytes(tweak); + const t = bytesToNumberBE(tweak); + return Point.fromHex(p).multiply(t).toRawBytes(isCompressed); + }, + }; + + should('privateAdd()', () => { + for (const vector of privates.valid.add) { + const { a, b, expected } = vector; + deepStrictEqual(hex(tweakUtils.privateAdd(a, b)), expected); + } + }); + should('privateNegate()', () => { + for (const vector of privates.valid.negate) { + const { a, expected } = vector; + deepStrictEqual(hex(tweakUtils.privateNegate(a)), expected); + } + }); + should('pointAddScalar()', () => { + for (const vector of points.valid.pointAddScalar) { + const { description, P, d, expected } = vector; + const compressed = !!expected && expected.length === 66; // compressed === 33 bytes + deepStrictEqual(hex(tweakUtils.pointAddScalar(P, d, compressed)), expected); + } + }); + should('pointAddScalar() invalid', () => { + for (const vector of points.invalid.pointAddScalar) { + const { P, d, exception } = vector; + throws(() => tweakUtils.pointAddScalar(P, d)); + } + }); + should('pointMultiply()', () => { + for (const vector of points.valid.pointMultiply) { + const { P, d, expected } = vector; + deepStrictEqual(hex(tweakUtils.pointMultiply(P, d, true)), expected); + } + }); + should('pointMultiply() invalid', () => { + for (const vector of points.invalid.pointMultiply) { + const { P, d, exception } = vector; + throws(() => tweakUtils.pointMultiply(P, d)); + } + }); + }); + + should('wycheproof vectors', () => { + for (let group of wp.testGroups) { + // const pubKey = Point.fromHex().toRawBytes(); + const key = group.publicKey; + const pubKey = key.uncompressed; + + for (let test of group.tests) { + const h = selectHash(secp); + + const m = h(hexToBytes(test.msg)); + if (test.result === 'valid' || test.result === 'acceptable') { + let sig; + try { + sig = sigFromDER(test.sig); + } catch (e) { + // These old Wycheproof vectors which allows invalid behaviour of DER parser + if (e.message === 'Invalid signature integer: negative') continue; + throw e; + } + const verified = secp.verify(normVerifySig(test.sig), m, pubKey); + if (sig.hasHighS()) { + deepStrictEqual(verified, false); + } else { + deepStrictEqual(verified, true); + } + } else if (test.result === 'invalid') { + let failed = false; + try { + const verified = secp.verify(test.sig, m, pubKey); + if (!verified) failed = true; + } catch (error) { + failed = true; + } + deepStrictEqual(failed, true); + } else { + deepStrictEqual(false, true); + } + } + } + }); +}); + +// ESM is broken. +import url from 'node:url'; +if (import.meta.url === url.pathToFileURL(process.argv[1]).href) { + should.run(); +} diff --git a/test/secp256k1.webcrypto.test.mjs b/test/secp256k1.webcrypto.test.mjs new file mode 100644 index 0000000..39ae5df --- /dev/null +++ b/test/secp256k1.webcrypto.test.mjs @@ -0,0 +1,9 @@ +import { webcrypto } from 'node:crypto'; +// @ts-ignore +if (!globalThis.crypto) globalThis.crypto = webcrypto; + +import './secp256k1.test.mjs'; + +// Force ESM import to execute +import { should } from 'micro-should'; +should.run(); diff --git a/test/tsconfig.json b/test/tsconfig.json index 14e868a..3dbed02 100644 --- a/test/tsconfig.json +++ b/test/tsconfig.json @@ -2,12 +2,12 @@ "compilerOptions": { "strict": true, "target": "es2020", - "module": "commonjs", + "module": "node16", + "moduleResolution": "node16", "noImplicitAny": true, - "removeComments": true, "preserveConstEnums": true, "resolveJsonModule": true }, - "include": ["*.ts"], + "include": ["secp256k1.helpers.ts"], "exclude": ["node_modules"] } diff --git a/test/vectors/ecdh.json b/test/vectors/ecdh.json deleted file mode 100644 index e6609cf..0000000 --- a/test/vectors/ecdh.json +++ /dev/null @@ -1,4545 +0,0 @@ -{ - "algorithm" : "ECDH", - "generatorVersion" : "0.8r12", - "numberOfTests" : 446, - "header" : [ - "Test vectors of type EcdhTest are intended for", - "testing an ECDH implementations using X509 encoded", - "public keys and integers for private keys.", - "Test vectors of this format are useful for testing", - "Java providers." - ], - "notes" : { - "AddSubChain" : "The private key has a special value. Implementations using addition subtraction chains for the point multiplication may get the point at infinity as an intermediate result. See CVE_2017_10176", - "CompressedPoint" : "The point in the public key is compressed. Not every library supports points in compressed format.", - "InvalidAsn" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value.", - "InvalidPublic" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key. Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable.", - "ModifiedPrime" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key.", - "UnnamedCurve" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector.", - "UnusedParam" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key.", - "WeakPublicKey" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key.", - "WrongOrder" : "The order of the public key has been modified. If this order is used in a cryptographic primitive instead of the correct order then private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." - }, - "schema" : "ecdh_test_schema.json", - "testGroups" : [ - { - "curve" : "secp256k1", - "encoding" : "asn", - "type" : "EcdhTest", - "tests" : [ - { - "tcId" : 1, - "comment" : "normal case", - "public" : "3056301006072a8648ce3d020106052b8104000a03420004d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b396812ea1686e7472e9692eaf3e958e50e9500d3b4c77243db1f2acd67ba9cc4", - "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", - "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 2, - "comment" : "compressed public key", - "public" : "3036301006072a8648ce3d020106052b8104000a03220002d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b", - "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", - "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", - "result" : "acceptable", - "flags" : [ - "CompressedPoint" - ] - }, - { - "tcId" : 3, - "comment" : "edge case for shared secret", - "public" : "3056301006072a8648ce3d020106052b8104000a03420004965ff42d654e058ee7317cced7caf093fbb180d8d3a74b0dcd9d8cd47a39d5cb9c2aa4daac01a4be37c20467ede964662f12983e0b5272a47a5f2785685d8087", - "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", - "shared" : "0000000000000000000000000000000000000000000000000000000000000001", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 4, - "comment" : "edge case for shared secret", - "public" : "3056301006072a8648ce3d020106052b8104000a0342000406c4b87ba76c6dcb101f54a050a086aa2cb0722f03137df5a922472f1bdc11b982e3c735c4b6c481d09269559f080ad08632f370a054af12c1fd1eced2ea9211", - "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", - "shared" : "0000000000000000000000000000000000000000000000000000000000000002", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 5, - "comment" : "edge case for shared secret", - "public" : "3056301006072a8648ce3d020106052b8104000a03420004bba30eef7967a2f2f08a2ffadac0e41fd4db12a93cef0b045b5706f2853821e6d50b2bf8cbf530e619869e07c021ef16f693cfc0a4b0d4ed5a8f464692bf3d6e", - "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", - "shared" : "0000000000000000000000000000000000000000000000000000000000000003", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 6, - "comment" : "edge case for shared secret", - "public" : "3056301006072a8648ce3d020106052b8104000a03420004166aed3bc281705444f933913f670957a118f8da2c71bd301a90929743e2ca583514a7972e33d6fea1e377ef4184937f67b37e41ef3099c228a88f5bfb67e5b9", - "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", - "shared" : "00000000000000000000000000000000ffffffffffffffffffffffffffffffff", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 7, - "comment" : "edge case for shared secret", - "public" : "3056301006072a8648ce3d020106052b8104000a0342000436e1e76ffdbe8577520b0716eb88c18ea72a49e5a4e5680a7d290093f841cb6e7310728b59c7572c4b35fb6c29c36ebabfc53553c06ecf747fcfbefcf6114e1c", - 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"private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", - "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", - "result" : "acceptable", - "flags" : [ - "InvalidAsn" - ] - }, - { - "tcId" : 441, - "comment" : "truncated bit string", - "public" : "3055301006072a8648ce3d020106052b8104000a03410004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da32", - "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", - "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", - "result" : "acceptable", - "flags" : [ - "InvalidAsn" - ] - }, - { - "tcId" : 442, - "comment" : "truncated bit string", - "public" : "3055301006072a8648ce3d020106052b8104000a034104e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", - "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", - "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", - "result" : "acceptable", - "flags" : [ - "InvalidAsn" - ] - }, - { - "tcId" : 443, - "comment" : "declaring bits as unused in bit string", - "public" : "3056301006072a8648ce3d020106052b8104000a03420104e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", - "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", - "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", - "result" : "acceptable", - "flags" : [ - "InvalidAsn" - ] - }, - { - "tcId" : 444, - "comment" : "unused bits in bit string", - "public" : "305a301006072a8648ce3d020106052b8104000a03462004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da326701020304", - "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", - "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", - "result" : "acceptable", - "flags" : [ - "InvalidAsn" - ] - }, - { - "tcId" : 445, - "comment" : "unused bits in empty bit-string", - "public" : "3015301006072a8648ce3d020106052b8104000a030103", - "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", - "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", - "result" : "acceptable", - "flags" : [ - "InvalidAsn" - ] - }, - { - "tcId" : 446, - "comment" : "128 unused bits", - "public" : "3056301006072a8648ce3d020106052b8104000a03428004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", - "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", - "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", - "result" : "acceptable", - "flags" : [ - "InvalidAsn" - ] - } - ] - } - ] -} diff --git a/test/vectors/schnorr.csv b/test/vectors/schnorr.csv deleted file mode 100644 index e068322..0000000 --- a/test/vectors/schnorr.csv +++ /dev/null @@ -1,16 +0,0 @@ -index,secret key,public key,aux_rand,message,signature,verification result,comment -0,0000000000000000000000000000000000000000000000000000000000000003,F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9,0000000000000000000000000000000000000000000000000000000000000000,0000000000000000000000000000000000000000000000000000000000000000,E907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0,TRUE, -1,B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,0000000000000000000000000000000000000000000000000000000000000001,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6896BD60EEAE296DB48A229FF71DFE071BDE413E6D43F917DC8DCF8C78DE33418906D11AC976ABCCB20B091292BFF4EA897EFCB639EA871CFA95F6DE339E4B0A,TRUE, -2,C90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B14E5C9,DD308AFEC5777E13121FA72B9CC1B7CC0139715309B086C960E18FD969774EB8,C87AA53824B4D7AE2EB035A2B5BBBCCC080E76CDC6D1692C4B0B62D798E6D906,7E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C,5831AAEED7B44BB74E5EAB94BA9D4294C49BCF2A60728D8B4C200F50DD313C1BAB745879A5AD954A72C45A91C3A51D3C7ADEA98D82F8481E0E1E03674A6F3FB7,TRUE, -3,0B432B2677937381AEF05BB02A66ECD012773062CF3FA2549E44F58ED2401710,25D1DFF95105F5253C4022F628A996AD3A0D95FBF21D468A1B33F8C160D8F517,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,7EB0509757E246F19449885651611CB965ECC1A187DD51B64FDA1EDC9637D5EC97582B9CB13DB3933705B32BA982AF5AF25FD78881EBB32771FC5922EFC66EA3,TRUE,test fails if msg is reduced modulo p or n -4,,D69C3509BB99E412E68B0FE8544E72837DFA30746D8BE2AA65975F29D22DC7B9,,4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703,00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C6376AFB1548AF603B3EB45C9F8207DEE1060CB71C04E80F593060B07D28308D7F4,TRUE, -5,,EEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,public key not on the curve -6,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A14602975563CC27944640AC607CD107AE10923D9EF7A73C643E166BE5EBEAFA34B1AC553E2,FALSE,has_even_y(R) is false -7,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,1FA62E331EDBC21C394792D2AB1100A7B432B013DF3F6FF4F99FCB33E0E1515F28890B3EDB6E7189B630448B515CE4F8622A954CFE545735AAEA5134FCCDB2BD,FALSE,negated message -8,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769961764B3AA9B2FFCB6EF947B6887A226E8D7C93E00C5ED0C1834FF0D0C2E6DA6,FALSE,negated s value -9,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,0000000000000000000000000000000000000000000000000000000000000000123DDA8328AF9C23A94C1FEECFD123BA4FB73476F0D594DCB65C6425BD186051,FALSE,sG - eP is infinite. Test fails in single verification if has_even_y(inf) is defined as true and x(inf) as 0 -10,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,00000000000000000000000000000000000000000000000000000000000000017615FBAF5AE28864013C099742DEADB4DBA87F11AC6754F93780D5A1837CF197,FALSE,sG - eP is infinite. Test fails in single verification if has_even_y(inf) is defined as true and x(inf) as 1 -11,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,4A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,sig[0:32] is not an X coordinate on the curve -12,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,sig[0:32] is equal to field size -13,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141,FALSE,sig[32:64] is equal to curve order -14,,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC30,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,public key is not a valid X coordinate because it exceeds the field size diff --git a/test/vectors/ecdsa.json b/test/vectors/secp256k1/ecdsa.json similarity index 100% rename from test/vectors/ecdsa.json rename to test/vectors/secp256k1/ecdsa.json diff --git a/test/vectors/points.json b/test/vectors/secp256k1/points.json similarity index 100% rename from test/vectors/points.json rename to test/vectors/secp256k1/points.json diff --git a/test/vectors/privates-2.txt b/test/vectors/secp256k1/privates-2.txt similarity index 100% rename from test/vectors/privates-2.txt rename to test/vectors/secp256k1/privates-2.txt diff --git a/test/vectors/privates.json b/test/vectors/secp256k1/privates.json similarity index 100% rename from test/vectors/privates.json rename to test/vectors/secp256k1/privates.json diff --git a/test/vectors/wychenproof.json b/test/vectors/wychenproof.json deleted file mode 100644 index dce3048..0000000 --- a/test/vectors/wychenproof.json +++ /dev/null @@ -1,4474 +0,0 @@ -{ - "algorithm" : "ECDSA", - "generatorVersion" : "0.8r12", - "numberOfTests" : 380, - "header" : [ - "Test vectors of type EcdsaVerify are meant for the verification", - "of ASN encoded ECDSA signatures." - ], - "notes" : { - "BER" : "This is a signature with correct values for (r, s) but using some alternative BER encoding instead of DER encoding. Implementations should not accept such signatures to limit signature malleability.", - "EdgeCase" : "Edge case values such as r=1 and s=0 can lead to forgeries if the ECDSA implementation does not check boundaries and computes s^(-1)==0.", - "MissingZero" : "Some implementations of ECDSA and DSA incorrectly encode r and s by not including leading zeros in the ASN encoding of integers when necessary. Hence, some implementations (e.g. jdk) allow signatures with incorrect ASN encodings assuming that the signature is otherwise valid.", - "PointDuplication" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission." - }, - "schema" : "ecdsa_verify_schema.json", - "testGroups" : [ - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", - "wx" : "00b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6f", - "wy" : "00f0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEuDj/ROW8F3vyEYnQdmCC/J2EMiaIf8l2\nA3EQC37iCm/wyddb+6ezGmvKGXRJbutW3jVwcZVdg8Sxutqgshgy6Q==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 1, - "comment" : "signature malleability", - "msg" : "313233343030", - "sig" : "3046022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc9832365022100900e75ad233fcc908509dbff5922647db37c21f4afd3203ae8dc4ae7794b0f87", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 2, - "comment" : "Legacy:ASN encoding of r misses leading 0", - "msg" : "313233343030", - "sig" : "30440220813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "acceptable", - "flags" : [ - "MissingZero" - ] - }, - { - "tcId" : 3, - "comment" : "valid", - "msg" : "313233343030", - "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 4, - "comment" : "long form encoding of length of sequence", - "msg" : "313233343030", - "sig" : "308145022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [ - "BER" - ] - }, - { - "tcId" : 5, - "comment" : "length of sequence contains leading 0", - "msg" : "313233343030", - "sig" : "30820045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [ - "BER" - ] - }, - { - "tcId" : 6, - "comment" : "wrong length of sequence", - "msg" : "313233343030", - "sig" : "3046022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 7, - "comment" : "wrong length of sequence", - "msg" : "313233343030", - "sig" : "3044022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 8, - "comment" : "uint32 overflow in length of sequence", - "msg" : "313233343030", - "sig" : "30850100000045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 9, - "comment" : "uint64 overflow in length of sequence", - "msg" : "313233343030", - "sig" : "3089010000000000000045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 10, - "comment" : "length of sequence = 2**31 - 1", - "msg" : "313233343030", - "sig" : "30847fffffff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 11, - "comment" : "length of sequence = 2**32 - 1", - "msg" : "313233343030", - "sig" : "3084ffffffff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 12, - "comment" : "length of sequence = 2**40 - 1", - "msg" : "313233343030", - "sig" : "3085ffffffffff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 13, - "comment" : "length of sequence = 2**64 - 1", - "msg" : "313233343030", - "sig" : "3088ffffffffffffffff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 14, - "comment" : "incorrect length of sequence", - "msg" : "313233343030", - "sig" : "30ff022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 15, - "comment" : "indefinite length without termination", - "msg" : "313233343030", - "sig" : "3080022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 16, - "comment" : "indefinite length without termination", - "msg" : "313233343030", - "sig" : "3045028000813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 17, - "comment" : "indefinite length without termination", - "msg" : "313233343030", - "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502806ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 18, - "comment" : "removing sequence", - "msg" : "313233343030", - "sig" : "", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 19, - "comment" : "lonely sequence tag", - "msg" : "313233343030", - "sig" : "30", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 20, - "comment" : "appending 0's to sequence", - "msg" : "313233343030", - "sig" : "3047022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba0000", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 21, - "comment" : "prepending 0's to sequence", - "msg" : "313233343030", - "sig" : "30470000022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 22, - "comment" : "appending unused 0's to sequence", - "msg" : "313233343030", - "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba0000", - "result" : "invalid", - "flags" : [] - }, - { - "tcId" : 23, - "comment" : "appending null value to sequence", - 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"sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 291, - "comment" : "small r and s", - "msg" : "313233343030", - "sig" : "3006020101020102", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "042e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece7180449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d", - "wx" : "2e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece718", - "wy" : "0449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200042e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece7180449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAELh9GawJMDDrOJDfeCRJ/7QS3BvlLGaIb\nscKs81zs5xgESa41I9clNOlklyz9OzivC93ZYZ5a8iPk0aQPNM+fHQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 292, - "comment" : "small r and s", - "msg" : "313233343030", - "sig" : "3006020101020103", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 293, - "comment" : "r is larger than n", - "msg" : "313233343030", - "sig" : "3026022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142020103", - "result" : "invalid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04dda95d7b0698de5d2d0b4f0034dbe35b50f978fcc518a84abf9c99efd96a25305adc08d6a63dbe831ab99cd9146e3c4c45492ad19521612542256d6af60e7888", - "wx" : "00dda95d7b0698de5d2d0b4f0034dbe35b50f978fcc518a84abf9c99efd96a2530", - "wy" : "5adc08d6a63dbe831ab99cd9146e3c4c45492ad19521612542256d6af60e7888" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004dda95d7b0698de5d2d0b4f0034dbe35b50f978fcc518a84abf9c99efd96a25305adc08d6a63dbe831ab99cd9146e3c4c45492ad19521612542256d6af60e7888", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE3aldewaY3l0tC08ANNvjW1D5ePzFGKhK\nv5yZ79lqJTBa3AjWpj2+gxq5nNkUbjxMRUkq0ZUhYSVCJW1q9g54iA==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 294, - "comment" : "s is larger than n", - "msg" : "313233343030", - "sig" : "3026020101022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd04917c8", - "result" : "invalid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "0402ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee777eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866", - "wx" : "02ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee77", - "wy" : "7eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a0342000402ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee777eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAu9NbWz9WpTx13hCJuPipsCkNsVYOWGf\nOPtEcrX57nd+tKzU7r2lzXKHX/0qLyYinC3GtGUAkZpDLIZznzroZg==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 295, - "comment" : "small r and s^-1", - "msg" : "313233343030", - "sig" : "302702020101022100c58b162c58b162c58b162c58b162c58a1b242973853e16db75c8a1a71da4d39d", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08", - "wx" : "464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584", - "wy" : "00b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERk9P9xVynK5Qcso72AHTGVtnrsZemwGq\n0gopQ9y8tYSxr9KdMaOaEdVwqhWXQ5s7LRlxvy8avxVDLQIHsQ0dCA==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 296, - "comment" : "smallish r and s^-1", - "msg" : "313233343030", - "sig" : "302c02072d9b4d347952cc022100fcbc5103d0da267477d1791461cf2aa44bf9d43198f79507bd8779d69a13108e", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4cdeadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f", - "wx" : "157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4c", - "wy" : "00deadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4cdeadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEFX+P3fNz619Jz88Q2LhTz5HLzX1mXDUi\nun3XON23mkzerfGlxEjqPJ9BkaiZmr/MdXrG1kVn7wcsR/7GE0Q7jw==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 297, - "comment" : "100-bit r and small s^-1", - "msg" : "313233343030", - "sig" : "3032020d1033e67e37b32b445580bf4efc022100906f906f906f906f906f906f906f906ed8e426f7b1968c35a204236a579723d2", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "040934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa", - "wx" : "0934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0", - "wy" : "00d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200040934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAECTSlN0ZsB0MOLEj+uZC7Gft4zsyc7kJO\npNEwKRqiN/DU+S0jtGKAS1toxSVYwByZltv3J/zKu+7bliGkAFNa+g==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 298, - "comment" : "small r and 100 bit s^-1", - "msg" : "313233343030", - "sig" : "3026020201010220783266e90f43dafe5cd9b3b0be86de22f9de83677d0f50713a468ec72fcf5d57", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c654a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265", - "wx" : "00d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c65", - "wy" : "4a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c654a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE1u8gvmbIk/dBqb+Q2bdGddHCoxKWOXrL\nPvF0/QswDGVKDJVHjKADmRYtfw8tyJ79wrKKMPur4oWFcpWksMTiZQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 299, - "comment" : "100-bit r and s^-1", - "msg" : "313233343030", - "sig" : "3031020d062522bbd3ecbe7c39e93e7c260220783266e90f43dafe5cd9b3b0be86de22f9de83677d0f50713a468ec72fcf5d57", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04b7291d1404e0c0c07dab9372189f4bd58d2ceaa8d15ede544d9514545ba9ee0629c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829", - "wx" : "00b7291d1404e0c0c07dab9372189f4bd58d2ceaa8d15ede544d9514545ba9ee06", - "wy" : "29c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b7291d1404e0c0c07dab9372189f4bd58d2ceaa8d15ede544d9514545ba9ee0629c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEtykdFATgwMB9q5NyGJ9L1Y0s6qjRXt5U\nTZUUVFup7gYpyaY9XjCHacww7CdqQQ5kZKJ+6v2eWZ2xDwU6T+SoKQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 300, - "comment" : "r and s^-1 are close to n", - "msg" : "313233343030", - "sig" : "3045022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd03640c1022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677", - "wx" : "00bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c", - "wy" : "1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677", - 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"result" : "invalid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71fdd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd", - "wx" : "391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71f", - "wy" : "00dd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71fdd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEORQn/37ngBPBSux9lqigYiCSmKeDg16U\n/WVJ1QL/9x/dZiTsNDrZ/PTZhyGB5Z+EL5ukzMrgmmwJcvtqxrTGvQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 343, - "comment" : "extreme value for k and edgecase s", - "msg" : "313233343030", - "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138ec1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e", - "wx" : "00e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138e", - "wy" : "00c1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138ec1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE52K4ohm08YAhnMepBZJF5JYb0ZHAOJl4\nnHo0uJ6ME47BUz7wQZu3N24L/ekxnRCgaWh5HZ6g7tnBzmNFrtl1ng==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 344, - "comment" : "extreme value for k and s^-1", - "msg" : "313233343030", - "sig" : "3046022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022100b6db6db6db6db6db6db6db6db6db6db5f30f30127d33e02aad96438927022e9c", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "049aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175", - "wx" : "009aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952", - "wy" : "00fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200049aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEmu2w0oHbFk4TAADFaX+uDzBe+Ei+b/+0\nOsWT+7lQ6VL6b2MzWb3NgrVrC5+WWwN3idRrmoFBt5GyrvpxP5bBdQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 345, - "comment" : "extreme value for k and s^-1", - "msg" : "313233343030", - "sig" : "3046022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee502210099999999999999999999999999999998d668eaf0cf91f9bd7317d2547ced5a5a", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "048ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd", - "wx" : "008ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee", - "wy" : "1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200048ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEitRF22KBYmDk5of9GITki5/AY20DFUfW\nMxXnkuGb+u4d5k+Z1fHNi27Jyw94emVK6GmTuj2xAI70PP8GhMsivQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 346, - "comment" : "extreme value for k and s^-1", - "msg" : "313233343030", - "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "041f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566", - "wx" : "1f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32", - "wy" : "00e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200041f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEH1eZyVvokGOyTybkDLkowahop2+wCUYH\n6AQ9tAnJHDLnVyToE6QZHjqDkAfwji6Jc4iwbUoA3m3mDlNtkfq1Zg==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 347, - "comment" : "extreme value for k and s^-1", - "msg" : "313233343030", - "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d", - "wx" : "00a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc", - "wy" : "28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEozMaThtCI+wsAn7dSCySihTtNY2T8dQh\nfTmr9p/LXMwo1oTSqqvNY4N3XKpiOd4m1MaTe7YD7LQZYIL0z/1QnQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 348, - "comment" : "extreme value for k", - "msg" : "313233343030", - "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee502200eb10e5ab95f2f275348d82ad2e4d7949c8193800d8c9c75df58e343f0ebba7b", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "043f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb248185ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d", - "wx" : "3f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb24818", - "wy" : "5ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200043f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb248185ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEPzlSGZd0x885s4tmyxBCpiYNhoCAOEXk\n1DOtujuySBhepJW2jLx+1Bc+5jyQQtxQJiXH634h+wLKmpEU4KOhjQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 349, - "comment" : "extreme value for k and edgecase s", - "msg" : "313233343030", - "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698", - "wx" : "00cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e", - "wy" : "054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEzfuMD0IuFE4TfCQSyGwXH1/j+j9bu1RO\nkHYojzzteG4FT9ByG3fBHHm+rLPJQhGwoZvaCGUu/q+SUTo7ChY2mA==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 350, - "comment" : "extreme value for k and s^-1", - "msg" : "313233343030", - "sig" : "3045022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022100b6db6db6db6db6db6db6db6db6db6db5f30f30127d33e02aad96438927022e9c", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "0473598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d", - "wx" : "73598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3", - "wy" : "00cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a0342000473598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEc1mKahxoJ4+mv9DOQGTmgjW8HA9rIKko\nEIvjNnMPh+PLrmElGbUDLsyFrtgRJxqV/nk51dNGAUC6MY9NFKujHQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 351, - "comment" : "extreme value for k and s^-1", - "msg" : "313233343030", - "sig" : "3045022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f8179802210099999999999999999999999999999998d668eaf0cf91f9bd7317d2547ced5a5a", - 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"result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "048b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f", - "wx" : "008b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b", - "wy" : "00950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200048b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEi5BN5HlnNAxfjDVypyCSTvdXhjf+qxlJ\nrLJBpaasP1uVCQRJb5gksdY/MxO64huJ+uia/fyBG17OA/1aowGGTw==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 353, - "comment" : "extreme value for k and s^-1", - "msg" : "313233343030", - "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b", - "wx" : "00f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a", - "wy" : "346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE9IkrbVJcdx4DXyolJwjzeE5II4YEtPlN\nxW6qHlRtlBo0axqgvOaLHFDltS9Qn7VSLlwl4Ci8j4Y0Au23vK2LGw==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 354, - "comment" : "extreme value for k", - "msg" : "313233343030", - "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f8179802200eb10e5ab95f2f275348d82ad2e4d7949c8193800d8c9c75df58e343f0ebba7b", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", - "wx" : "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", - "wy" : "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a0342000479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeb5mfvncu6xVoGKVzocLBwKb/NstzijZ\nWfKBWxb4F5hIOtp3JqPEZV2k+/wOEQio/Re0SKaFVBmcR9CP+xDUuA==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 355, - "comment" : "testing point duplication", - "msg" : "313233343030", - "sig" : "3045022100bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca60502302202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952", - 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"result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40cafffffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e", - "wx" : "6e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff", - "wy" : "00fffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40cafffffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEboI1VUUpFAmRgsaywdbwtdKNUMzQBa8s\n4bulQapAyv/////++fttKlqYwfDaJyrwSBpztieSuSvelqoeVcK7Tg==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 366, - "comment" : "y-coordinate of the public key is large", - "msg" : "4d657373616765", - "sig" : "304502203854a3998aebdf2dbc28adac4181462ccac7873907ab7f212c42db0e69b56ed8022100c12c09475c772fd0c1b2060d5163e42bf71d727e4ae7c03eeba954bf50b43bb3", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 367, - "comment" : "y-coordinate of the public key is large", - "msg" : "4d657373616765", - "sig" : "3046022100e94dbdc38795fe5c904d8f16d969d3b587f0a25d2de90b6d8c5c53ff887e3607022100856b8c963e9b68dade44750bf97ec4d11b1a0a3804f4cb79aa27bdea78ac14e4", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 368, - "comment" : "y-coordinate of the public key is large", - "msg" : "4d657373616765", - "sig" : "3044022049fc102a08ca47b60e0858cd0284d22cddd7233f94aaffbb2db1dd2cf08425e102205b16fca5a12cdb39701697ad8e39ffd6bdec0024298afaa2326aea09200b14d6", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04000000013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d", - "wx" : "013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0", - "wy" : "00f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004000000013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAAAAAT/SIkjWTZX3PCm0irSGMYUL5QP9\nAPhGi18PcOD27nqkO8LG/SWx2CaSQcvdnbsNrJbcliMfQwcF+DhxfQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 369, - "comment" : "x-coordinate of the public key is small", - "msg" : "4d657373616765", - "sig" : "3045022041efa7d3f05a0010675fcb918a45c693da4b348df21a59d6f9cd73e0d831d67a022100bbab52596c1a1d9484296cdc92cbf07e665259a13791a8fe8845e2c07cf3fc67", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 370, - "comment" : "x-coordinate of the public key is small", - "msg" : "4d657373616765", - "sig" : "3046022100b615698c358b35920dd883eca625a6c5f7563970cdfc378f8fe0cee17092144c022100da0b84cd94a41e049ef477aeac157b2a9bfa6b7ac8de06ed3858c5eede6ddd6d", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 371, - "comment" : "x-coordinate of the public key is small", - "msg" : "4d657373616765", - "sig" : "304602210087cf8c0eb82d44f69c60a2ff5457d3aaa322e7ec61ae5aecfd678ae1c1932b0e022100c522c4eea7eafb82914cbf5c1ff76760109f55ddddcf58274d41c9bc4311e06e", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "0425afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dfffffffffa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35", - "wx" : "25afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dffffffff", - "wy" : "00fa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a0342000425afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dfffffffffa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEJa/WiayrrtZ8Hylt5ZQG+MVQ9XFGoLTs\nLJeHbf/////6RqduUgMi37xJHsTwzBl0IPxOpYg9j23VPDVLxPZ8NQ==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 372, - "comment" : "x-coordinate of the public key has many trailing 1's", - "msg" : "4d657373616765", - "sig" : "3045022062f48ef71ace27bf5a01834de1f7e3f948b9dce1ca1e911d5e13d3b104471d82022100a1570cc0f388768d3ba7df7f212564caa256ff825df997f21f72f5280d53011f", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 373, - "comment" : "x-coordinate of the public key has many trailing 1's", - "msg" : "4d657373616765", - "sig" : "3046022100f6b0e2f6fe020cf7c0c20137434344ed7add6c4be51861e2d14cbda472a6ffb40221009be93722c1a3ad7d4cf91723700cb5486de5479d8c1b38ae4e8e5ba1638e9732", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 374, - "comment" : "x-coordinate of the public key has many trailing 1's", - "msg" : "4d657373616765", - "sig" : "3045022100db09d8460f05eff23bc7e436b67da563fa4b4edb58ac24ce201fa8a358125057022046da116754602940c8999c8d665f786c50f5772c0a3cdbda075e77eabc64df16", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "04d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", - "wx" : "00d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb9", - "wy" : "3f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0S5sZrZ3NMPITSYBz1013Al+J2N/CspK\nT9t0tqrdO7k/W9/4i9VzbfiY5pkAbtdQ8RzwfFhmzXrXDHEh/////w==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 375, - "comment" : "y-coordinate of the public key has many trailing 1's", - "msg" : "4d657373616765", - "sig" : "30450220592c41e16517f12fcabd98267674f974b588e9f35d35406c1a7bb2ed1d19b7b8022100c19a5f942607c3551484ff0dc97281f0cdc82bc48e2205a0645c0cf3d7f59da0", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 376, - "comment" : "y-coordinate of the public key has many trailing 1's", - "msg" : "4d657373616765", - "sig" : "3046022100be0d70887d5e40821a61b68047de4ea03debfdf51cdf4d4b195558b959a032b20221008266b4d270e24414ecacb14c091a233134b918d37320c6557d60ad0a63544ac4", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 377, - "comment" : "y-coordinate of the public key has many trailing 1's", - "msg" : "4d657373616765", - "sig" : "3046022100fae92dfcb2ee392d270af3a5739faa26d4f97bfd39ed3cbee4d29e26af3b206a02210093645c80605595e02c09a0dc4b17ac2a51846a728b3e8d60442ed6449fd3342b", - "result" : "valid", - "flags" : [] - } - ] - }, - { - "key" : { - "curve" : "secp256k1", - "keySize" : 256, - "type" : "EcPublicKey", - "uncompressed" : "046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", - "wx" : "6d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000", - "wy" : "00e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb" - }, - "keyDer" : "3056301006072a8648ce3d020106052b8104000a034200046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", - "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbUp/YNR3Sk8KqLve25U8fup5CUB+MWR1\nVmS8KAAAAADmWdNOTfONnoyeqt+6NmEsdpGVvobHeqw/NueLU4aA+w==\n-----END PUBLIC KEY-----", - "sha" : "SHA-256", - "type" : "EcdsaVerify", - "tests" : [ - { - "tcId" : 378, - "comment" : "x-coordinate of the public key has many trailing 0's", - "msg" : "4d657373616765", - "sig" : "30450220176a2557566ffa518b11226694eb9802ed2098bfe278e5570fe1d5d7af18a943022100ed6e2095f12a03f2eaf6718f430ec5fe2829fd1646ab648701656fd31221b97d", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 379, - "comment" : "x-coordinate of the public key has many trailing 0's", - "msg" : "4d657373616765", - "sig" : "3045022060be20c3dbc162dd34d26780621c104bbe5dace630171b2daef0d826409ee5c2022100bd8081b27762ab6e8f425956bf604e332fa066a99b59f87e27dc1198b26f5caa", - "result" : "valid", - "flags" : [] - }, - { - "tcId" : 380, - "comment" : "x-coordinate of the public key has many trailing 0's", - "msg" : "4d657373616765", - "sig" : "3046022100edf03cf63f658883289a1a593d1007895b9f236d27c9c1f1313089aaed6b16ae022100e5b22903f7eb23adc2e01057e39b0408d495f694c83f306f1216c9bf87506074", - "result" : "valid", - "flags" : [] - } - ] - } - ] -} diff --git a/test/wycheproof/ecdh_secp256k1_test.json b/test/wycheproof/ecdh_secp256k1_test.json new file mode 100644 index 0000000..16db618 --- /dev/null +++ b/test/wycheproof/ecdh_secp256k1_test.json @@ -0,0 +1,8441 @@ +{ + "algorithm" : "ECDH", + "schema" : "ecdh_test_schema.json", + "generatorVersion" : "0.9rc5", + "numberOfTests" : 752, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AdditionChain" : { + "bugType" : "KNOWN_BUG", + "description" : "The private key has an unusual bit pattern, such as high or low Hamming weight. The goal is to test edge cases for addition chain implementations." + }, + "CompressedPoint" : { + "bugType" : "UNKNOWN", + "description" : "The point in the public key is compressed. Not every library supports points in compressed format." + }, + "CompressedPublic" : { + "bugType" : "FUNCTIONALITY", + "description" : "The public key in the test vector is compressed. Some implementations do not support compressed points." + }, + "EdgeCaseDoubling" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains an EC point that hits an edge case (e.g. a coordinate 0) when doubled. The goal of the test vector is to check for arithmetic errors in these test cases.", + "effect" : "The effect of such arithmetic errors is unclear and requires further analysis." + }, + "EdgeCaseEphemeralKey" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains an ephemeral public key that is an edge case." + }, + "EdgeCaseSharedSecret" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains a public key and private key such that the shared ECDH secret is a special case. The goal of this test vector is to detect arithmetic errors.", + "effect" : "The seriousness of an arithmetic error is unclear. It requires further analysis to determine if the bug is exploitable." + }, + "InvalidAsn" : { + "bugType" : "UNKNOWN", + "description" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value." + }, + "InvalidCompressedPublic" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The test vector contains a compressed public key that does not exist. I.e., it contains an x-coordinate that does not correspond to any points on the curve. Such keys should be rejected " + }, + "InvalidCurveAttack" : { + "bugType" : "CONFIDENTIALITY", + "description" : "The point of the public key is not on the curve. ", + "effect" : "If an implementation does not check whether a point is on the curve then it is likely that the implementation is susceptible to an invalid curve attack. Many implementations compute the shared ECDH secret over a curve defined by the point on the public key. This curve can be weak and hence leak information about the private key." + }, + "InvalidEncoding" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The test vector contains a public key with an invalid encoding." + }, + "InvalidPublic" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key.", + "effect" : "Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable." + }, + "LargeCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor is larger than the limits specified in FIPS-PUB 186-4 table 1, p.36." + }, + "Modified curve parameter" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The parameters a and b of the curve have been modified. The parameters haven been chosen so that public key or generator still are also valid points on the new curve." + }, + "ModifiedCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor has been modified. ", + "effect" : "The seriousness of accepting a key with modified cofactor depends on whether the primitive using the key actually uses the cofactor." + }, + "ModifiedGenerator" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The generator of the EC group has been modified.", + "effect" : "The seriousness of the modification depends on whether the cryptographic primitive uses the generator. In the worst case such a modification allows an invalid curve attack." + }, + "ModifiedGroup" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The EC curve of the public key has been modified. EC curve primitives should always check that the keys are on the expected curve." + }, + "ModifiedPrime" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key." + }, + "ModifiedPublicPoint" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The public point of the key has been modified and is not on the curve.", + "effect" : "Not checking that a public point is on the curve may allow an invalid curve attack." + }, + "NegativeCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor of the curve is negative." + }, + "Normal" : { + "bugType" : "BASIC", + "description" : "The test vector contains a pseudorandomly generated, valid test case. Implementations are expected to pass this test." + }, + "UnnamedCurve" : { + "bugType" : "UNKNOWN", + "description" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector." + }, + "UnusedParam" : { + "bugType" : "MALLEABILITY", + "description" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key." + }, + "WeakPublicKey" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key." + }, + "WrongCurve" : { + "bugType" : "CONFIDENTIALITY", + "description" : "The public key and private key use distinct curves. Implementations are expected to reject such parameters.", + "effect" : "Computing an ECDH key exchange with public and private keys can in the worst case lead to an invalid curve attack. Hence, it is important that ECDH implementations check the input parameters. The severity of such bugs is typically smaller if an implementation ensures that the point is on the curve and that the ECDH computation is performed on the curve of the private key. Some of the test vectors with modified public key contain shared ECDH secrets, that were computed over the curve of the private key." + }, + "WrongOrder" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The order of the public key has been modified.", + "effect" : "If this order is used in a cryptographic primitive instead of the correct order then an invalid curve attack is possible and the private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + } + }, + "testGroups" : [ + { + "type" : "EcdhTest", + "curve" : "secp256k1", + "encoding" : "asn", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "flags" : [ + "Normal" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420004d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b396812ea1686e7472e9692eaf3e958e50e9500d3b4c77243db1f2acd67ba9cc4", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", + "result" : "valid" + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "flags" : [ + "CompressedPublic", + "CompressedPoint" + ], + "public" : "3036301006072a8648ce3d020106052b8104000a03220002d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : 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: "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 751, + "comment" : "unused bits in empty bit-string", + "flags" : [ + "InvalidAsn" + ], + "public" : "3015301006072a8648ce3d020106052b8104000a030103", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 752, + "comment" : "128 unused bits", + "flags" : [ + "InvalidAsn" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03428004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + } + ] + } + ] +} diff --git a/test/wycheproof/ecdsa_secp256k1_sha256_test.json b/test/wycheproof/ecdsa_secp256k1_sha256_test.json new file mode 100644 index 0000000..4ef54ce --- /dev/null +++ b/test/wycheproof/ecdsa_secp256k1_sha256_test.json @@ -0,0 +1,6356 @@ +{ + "algorithm" : "ECDSA", + "schema" : "ecdsa_verify_schema.json", + "generatorVersion" : "0.9rc5", + "numberOfTests" : 463, + "header" : [ + "Test vectors of type EcdsaVerify are meant for the verification", + "of ASN encoded ECDSA signatures." + ], + "notes" : { + "ArithmeticError" : { + "bugType" : "EDGE_CASE", + "description" : "Some implementations of ECDSA have arithmetic errors that occur when intermediate results have extreme values. This test vector has been constructed to test such occurences.", + "cves" : [ + "CVE-2017-18146" + ] + }, + "BerEncodedSignature" : { + "bugType" : "BER_ENCODING", + "description" : "ECDSA signatures are usually DER encoded. This signature contains valid values for r and s, but it uses alternative BER encoding.", + "effect" : "Accepting alternative BER encodings may be benign in some cases, or be an issue if protocol requires signature malleability.", + "cves" : [ + "CVE-2020-14966", + "CVE-2020-13822", + "CVE-2019-14859", + "CVE-2016-1000342" + ] + }, + "EdgeCasePublicKey" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector uses a special case public key. " + }, + "EdgeCaseShamirMultiplication" : { + "bugType" : "EDGE_CASE", + "description" : "Shamir proposed a fast method for computing the sum of two scalar multiplications efficiently. This test vector has been constructed so that an intermediate result is the point at infinity if Shamir's method is used." + }, + "IntegerOverflow" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified, so that the original value is restored if the implementation ignores the most significant bits.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "InvalidEncoding" : { + "bugType" : "CAN_OF_WORMS", + "description" : "ECDSA signatures are encoded using ASN.1. This test vector contains an incorrectly encoded signature. The test vector itself was generated from a valid signature by modifying its encoding.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "InvalidSignature" : { + "bugType" : "AUTH_BYPASS", + "description" : "The signature contains special case values such as r=0 and s=0. Buggy implementations may accept such values, if the implementation does not check boundaries and computes s^(-1) == 0.", + "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.", + "cves" : [ + "CVE-2022-21449", + "CVE-2021-43572", + "CVE-2022-24884" + ] + }, + "InvalidTypesInSignature" : { + "bugType" : "AUTH_BYPASS", + "description" : "The signature contains invalid types. Dynamic typed languages sometime coerce such values of different types into integers. If an implementation is careless and has additional bugs, such as not checking integer boundaries then it may be possible that such signatures are accepted.", + "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.", + "cves" : [ + "CVE-2022-21449" + ] + }, + "MissingZero" : { + "bugType" : "LEGACY", + "description" : "Some implementations of ECDSA and DSA incorrectly encode r and s by not including leading zeros in the ASN encoding of integers when necessary. Hence, some implementations (e.g. jdk) allow signatures with incorrect ASN encodings assuming that the signature is otherwise valid.", + "effect" : "While signatures are more malleable if such signatures are accepted, this typically leads to no vulnerability, since a badly encoded signature can be reencoded correctly." + }, + "ModifiedInteger" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified. The goal is to check for arithmetic errors.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "ModifiedSignature" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an invalid signature that was generated from a valid signature by modifying it.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "ModularInverse" : { + "bugType" : "EDGE_CASE", + "description" : "The test vectors contains a signature where computing the modular inverse of s hits an edge case.", + "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.", + "cves" : [ + "CVE-2019-0865" + ] + }, + "PointDuplication" : { + "bugType" : "EDGE_CASE", + "description" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission.", + "cves" : [ + "2020-12607", + "CVE-2015-2730" + ] + }, + "RangeCheck" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified. By adding or subtracting the order of the group (or other values) the test vector checks whether signature verification verifies the range of r and s.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "SmallRandS" : { + "bugType" : "EDGE_CASE", + "description" : "The test vectors contains a signature where both r and s are small integers. Some libraries cannot verify such signatures.", + "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.", + "cves" : [ + "2020-13895" + ] + }, + "SpecialCaseHash" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains a signature where the hash of the message is a special case, e.g., contains a long run of 0 or 1 bits." + }, + "ValidSignature" : { + "bugType" : "BASIC", + "description" : "The test vector contains a valid signature that was generated pseudorandomly. Such signatures should not fail to verify unless some of the parameters (e.g. curve or hash function) are not supported." + } + }, + "testGroups" : [ + { + "type" : "EcdsaVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "04782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152", + "wx" : "782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963", + "wy" : "00af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeCyO0X47Kng7VGTzOwllKnHGeOBexR6E\n4rz8Zjo96WOvmstCgLjH98QvTvmrpiRewewXEv04oPqWQY2M1qphUg==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 1, + "comment" : "pseudorandom signature", + "flags" : [ + "ValidSignature" + ], + "msg" : "", + "sig" : "3046022100f80ae4f96cdbc9d853f83d47aae225bf407d51c56b7776cd67d0dc195d99a9dc022100b303e26be1f73465315221f0b331528807a1a9b6eb068ede6eebeaaa49af8a36", + "result" : "valid" + }, + { + "tcId" : 2, + "comment" : "pseudorandom signature", + "flags" : [ + "ValidSignature" + ], + "msg" : "4d7367", + "sig" : "30450220109cd8ae0374358984a8249c0a843628f2835ffad1df1a9a69aa2fe72355545c022100ac6f00daf53bd8b1e34da329359b6e08019c5b037fed79ee383ae39f85a159c6", + "result" : "valid" + }, + { + "tcId" : 3, + "comment" : "pseudorandom signature", + "flags" : [ + "ValidSignature" + ], + "msg" : "313233343030", + "sig" : "3045022100d035ee1f17fdb0b2681b163e33c359932659990af77dca632012b30b27a057b302201939d9f3b2858bc13e3474cb50e6a82be44faa71940f876c1cba4c3e989202b6", + "result" : "valid" + }, + { + "tcId" : 4, + "comment" : "pseudorandom signature", + "flags" : [ + "ValidSignature" + ], + "msg" : "0000000000000000000000000000000000000000", + "sig" : "304402204f053f563ad34b74fd8c9934ce59e79c2eb8e6eca0fef5b323ca67d5ac7ed23802204d4b05daa0719e773d8617dce5631c5fd6f59c9bdc748e4b55c970040af01be5", + "result" : "valid" + } + ] + }, + { + "type" : "EcdsaVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "04b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", + "wx" : "00b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6f", + "wy" : "00f0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEuDj/ROW8F3vyEYnQdmCC/J2EMiaIf8l2\nA3EQC37iCm/wyddb+6ezGmvKGXRJbutW3jVwcZVdg8Sxutqgshgy6Q==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 5, + "comment" : "signature malleability", + "flags" : [ + "ValidSignature" + ], + "msg" : "313233343030", + "sig" : "3046022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc9832365022100900e75ad233fcc908509dbff5922647db37c21f4afd3203ae8dc4ae7794b0f87", + "result" : "valid" + }, + { + "tcId" : 6, + "comment" : "Legacy: ASN encoding of r misses leading 0", + "flags" : [ + "MissingZero" + ], + "msg" : "313233343030", + "sig" : "30440220813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid" + }, + { + "tcId" : 7, + "comment" : "valid", + "flags" : [ + "ValidSignature" + ], + "msg" : "313233343030", + "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "valid" + }, + { + "tcId" : 8, + "comment" : "length of sequence [r, s] uses long form encoding", + "flags" : [ + "BerEncodedSignature" + ], + "msg" : "313233343030", + "sig" : "308145022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid" + }, + { + "tcId" : 9, + "comment" : "length of sequence [r, s] contains a leading 0", + "flags" : [ + "BerEncodedSignature" + ], + "msg" : "313233343030", + "sig" : "30820045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba", + "result" : "invalid" + }, + { + "tcId" : 10, + "comment" : "length of sequence [r, s] uses 70 instead of 69", + "flags" : [ + "InvalidEncoding" + ], + "msg" : "313233343030", 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"04000000013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d", + "wx" : "013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0", + "wy" : "00f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004000000013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAAAAAT/SIkjWTZX3PCm0irSGMYUL5QP9\nAPhGi18PcOD27nqkO8LG/SWx2CaSQcvdnbsNrJbcliMfQwcF+DhxfQ==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 452, + "comment" : "x-coordinate of the public key is small", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : 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"04d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", + "wx" : "00d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb9", + "wy" : "3f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0S5sZrZ3NMPITSYBz1013Al+J2N/CspK\nT9t0tqrdO7k/W9/4i9VzbfiY5pkAbtdQ8RzwfFhmzXrXDHEh/////w==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 458, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "30450220592c41e16517f12fcabd98267674f974b588e9f35d35406c1a7bb2ed1d19b7b8022100c19a5f942607c3551484ff0dc97281f0cdc82bc48e2205a0645c0cf3d7f59da0", + "result" : "valid" + }, + { + "tcId" : 459, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3046022100be0d70887d5e40821a61b68047de4ea03debfdf51cdf4d4b195558b959a032b20221008266b4d270e24414ecacb14c091a233134b918d37320c6557d60ad0a63544ac4", + "result" : "valid" + }, + { + "tcId" : 460, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3046022100fae92dfcb2ee392d270af3a5739faa26d4f97bfd39ed3cbee4d29e26af3b206a02210093645c80605595e02c09a0dc4b17ac2a51846a728b3e8d60442ed6449fd3342b", + "result" : "valid" + } + ] + }, + { + "type" : "EcdsaVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", + "wx" : "6d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000", + "wy" : "00e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbUp/YNR3Sk8KqLve25U8fup5CUB+MWR1\nVmS8KAAAAADmWdNOTfONnoyeqt+6NmEsdpGVvobHeqw/NueLU4aA+w==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 461, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "30450220176a2557566ffa518b11226694eb9802ed2098bfe278e5570fe1d5d7af18a943022100ed6e2095f12a03f2eaf6718f430ec5fe2829fd1646ab648701656fd31221b97d", + "result" : "valid" + }, + { + "tcId" : 462, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022060be20c3dbc162dd34d26780621c104bbe5dace630171b2daef0d826409ee5c2022100bd8081b27762ab6e8f425956bf604e332fa066a99b59f87e27dc1198b26f5caa", + "result" : "valid" + }, + { + "tcId" : 463, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3046022100edf03cf63f658883289a1a593d1007895b9f236d27c9c1f1313089aaed6b16ae022100e5b22903f7eb23adc2e01057e39b0408d495f694c83f306f1216c9bf87506074", + "result" : "valid" + } + ] + } + ] +} diff --git a/tsconfig.esm.json b/tsconfig.esm.json deleted file mode 100644 index 8fc2504..0000000 --- a/tsconfig.esm.json +++ /dev/null @@ -1,16 +0,0 @@ -{ - "compilerOptions": { - "strict": true, - "target": "es2020", - "lib": ["es2020"], - "module": "es6", - "moduleResolution": "node", - "outDir": "lib/esm", - "noImplicitAny": true, - "removeComments": true, - "preserveConstEnums": true, - "baseUrl": ".", - }, - "include": ["index.ts"], - "exclude": ["node_modules", "lib"] -} diff --git a/tsconfig.json b/tsconfig.json index 9c457a7..7b8c981 100644 --- a/tsconfig.json +++ b/tsconfig.json @@ -1,18 +1,8 @@ { + "extends": "@paulmillr/jsbt/tsconfig.esm.json", "compilerOptions": { - "strict": true, - "declaration": true, - "declarationMap": false, - "target": "es2020", - "lib": ["es2020"], - "module": "commonjs", - "moduleResolution": "node", - "outDir": "lib", - "noImplicitAny": true, - "removeComments": true, - "preserveConstEnums": true, - "resolveJsonModule": true, - "baseUrl": ".", + "outDir": ".", + "sourceMap": false }, "include": ["index.ts"], "exclude": ["node_modules", "lib"]