27 Commits
0.7.3 ... 0.8.3

Author SHA1 Message Date
Paul Miller
1c6aa07ff7 Release 0.8.3. 2023-03-16 19:41:20 +01:00
Paul Miller
e110237298 readme 2023-03-16 19:17:34 +01:00
Paul Miller
45393db807 Bump docs 2023-03-16 19:05:33 +01:00
Paul Miller
acc3a9dc4d Bump devdep types/node 2023-03-16 18:52:03 +01:00
Paul Miller
9295b0dbae Upgrade to Typescript 5 2023-03-16 18:49:48 +01:00
Paul Miller
5784ef23f6 Release 0.8.2. 2023-03-14 00:44:02 +01:00
Paul Miller
ef55efe842 Fix common.js build 2023-03-14 00:42:40 +01:00
Paul Miller
1cfd6a76ca Release 0.8.1. 2023-03-14 00:40:05 +01:00
Paul Miller
89f81b2204 pkg.json: improve bench, clean scripts 2023-03-14 00:39:21 +01:00
Paul Miller
d77ac16f51 Bring back common.js for now. Need more thorough work with consumers 2023-03-14 00:32:09 +01:00
Paul Miller
fe68da61f6 Move stark curve to micro-starknet 2023-03-10 20:18:05 +01:00
Paul Miller
32c0841bed Add Trail of Bits audit 2023-03-10 01:09:49 +01:00
Paul Miller
49a659b248 Release 0.8.0. 2023-03-03 05:12:36 +04:00
Paul Miller
9d0a2e25dc readme: esm-only 2023-03-03 05:11:21 +04:00
Paul Miller
7c461af2b2 test: remove common.js support 2023-03-03 05:09:50 +04:00
Paul Miller
4a8f447c8d package.json, tsconfig: remove common.js support. Pure ESM now 2023-03-03 05:09:36 +04:00
Paul Miller
4b2d31ce7f stark: more methods 2023-02-28 23:18:06 +04:00
Paul Miller
16115f27a6 readme update 2023-02-28 14:04:15 +04:00
Paul Miller
0e0d0f530d benchmark: add tonneli-shanks sqrt 2023-02-28 02:59:28 +04:00
Paul Miller
fa5105aef2 ecdsa: remove scalar blinding. CSPRNG dep not good: cryptofuzz, other envs will fail 2023-02-28 01:48:06 +04:00
Paul Miller
11f1626ecc modular: Add comment. Add benchmark 2023-02-27 22:41:24 +04:00
Paul Miller
53ff287bf7 Schnorr: remove getExtendedPublicKey 2023-02-27 20:29:47 +04:00
Paul Miller
214c9aa553 secp256k1: Fix schnorrGetExtPubKey y coordinate 2023-02-27 20:20:13 +04:00
Paul Miller
ec2c3e1248 Add test for ristretto equality testing 2023-02-27 19:33:41 +04:00
Paul Miller
e64a9d654c Fix ristretto255 equals 2023-02-27 19:07:45 +04:00
Paul Miller
088edd0fbb h2c: move params validation. add experimental hash_to_ristretto255 2023-02-27 15:07:24 +01:00
Paul Miller
3e90930e9d Fix types 2023-02-26 19:10:50 +01:00
39 changed files with 421 additions and 5675 deletions

332
README.md
View File

@@ -1,6 +1,6 @@
# noble-curves
Audited & minimal JS implementation of elliptic curve cryptography.
[Audited](#security) & minimal JS implementation of elliptic curve cryptography.
- **noble** family, zero dependencies
- Short Weierstrass, Edwards, Montgomery curves
@@ -9,20 +9,27 @@ Audited & minimal JS implementation of elliptic curve cryptography.
for encoding or hashing an arbitrary string to an elliptic curve point
- 🧜‍♂️ [Poseidon](https://www.poseidon-hash.info) ZK-friendly hash
- 🏎 [Ultra-fast](#speed), hand-optimized for caveats of JS engines
- 🔍 Unique tests ensure correctness with Wycheproof vectors and [cryptofuzz](https://github.com/guidovranken/cryptofuzz) differential fuzzing
- 🔍 Unique tests ensure correctness with Wycheproof vectors and
[cryptofuzz](https://github.com/guidovranken/cryptofuzz) differential fuzzing
- 🔻 Tree-shaking-friendly: there is no entry point, which ensures small size of your app
Package consists of two parts:
1. [Abstract](#abstract-api), zero-dependency EC algorithms
2. [Implementations](#implementations), utilizing one dependency `@noble/hashes`, providing ready-to-use:
2. [Implementations](#implementations), utilizing one dependency `@noble/hashes`,
providing ready-to-use:
- NIST curves secp256r1/P256, secp384r1/P384, secp521r1/P521
- SECG curve secp256k1
- ed25519/curve25519/x25519/ristretto255, edwards448/curve448/x448 [RFC7748](https://www.rfc-editor.org/rfc/rfc7748) / [RFC8032](https://www.rfc-editor.org/rfc/rfc8032) / [ZIP215](https://zips.z.cash/zip-0215) stuff
- ed25519/curve25519/x25519/ristretto255, edwards448/curve448/x448
implementing
[RFC7748](https://www.rfc-editor.org/rfc/rfc7748) /
[RFC8032](https://www.rfc-editor.org/rfc/rfc8032) /
[ZIP215](https://zips.z.cash/zip-0215) standards
- pairing-friendly curves bls12-381, bn254
Check out [Upgrading](#upgrading) if you've previously used single-feature noble packages
([secp256k1](https://github.com/paulmillr/noble-secp256k1), [ed25519](https://github.com/paulmillr/noble-ed25519)).
Check out [Upgrading](#upgrading) if you've previously used single-feature noble
packages ([secp256k1](https://github.com/paulmillr/noble-secp256k1),
[ed25519](https://github.com/paulmillr/noble-ed25519)).
See [Resources](#resources) for articles and real-world software that uses curves.
### This library belongs to _noble_ crypto
@@ -41,22 +48,25 @@ See [Resources](#resources) for articles and real-world software that uses curve
## Usage
Use NPM for browser / node.js:
Browser, deno and node.js are supported:
> npm install @noble/curves
For [Deno](https://deno.land), use it with [npm specifier](https://deno.land/manual@v1.28.0/node/npm_specifiers). In browser, you could also include the single file from
For [Deno](https://deno.land), use it with
[npm specifier](https://deno.land/manual@v1.28.0/node/npm_specifiers).
In browser, you could also include the single file from
[GitHub's releases page](https://github.com/paulmillr/noble-curves/releases).
The library is tree-shaking-friendly and does not expose root entry point as `import * from '@noble/curves'`.
Instead, you need to import specific primitives. This is done to ensure small size of your apps.
The library is tree-shaking-friendly and does not expose root entry point as
`import * from '@noble/curves'`. Instead, you need to import specific primitives.
This is done to ensure small size of your apps.
### Implementations
Each curve can be used in the following way:
```ts
import { secp256k1 } from '@noble/curves/secp256k1'; // ECMAScript Modules (ESM) and Common.js
import { secp256k1 } from '@noble/curves/secp256k1'; // ESM and Common.js
// import { secp256k1 } from 'npm:@noble/curves@1.2.0/secp256k1'; // Deno
const priv = secp256k1.utils.randomPrivateKey();
const pub = secp256k1.getPublicKey(priv);
@@ -64,8 +74,9 @@ const msg = new Uint8Array(32).fill(1);
const sig = secp256k1.sign(msg, priv);
secp256k1.verify(sig, msg, pub) === true;
// hex strings are also supported besides Uint8Arrays:
const privHex = '46c930bc7bb4db7f55da20798697421b98c4175a52c630294d75a84b9c126236';
const pub2 = secp256k1.getPublicKey(privHex); // keys & other inputs can be Uint8Array-s or hex strings
const pub2 = secp256k1.getPublicKey(privHex);
```
All curves:
@@ -78,7 +89,6 @@ import { p256 } from '@noble/curves/p256';
import { p384 } from '@noble/curves/p384';
import { p521 } from '@noble/curves/p521';
import { pallas, vesta } from '@noble/curves/pasta';
import * as stark from '@noble/curves/stark';
import { bls12_381 } from '@noble/curves/bls12-381';
import { bn254 } from '@noble/curves/bn';
import { jubjub } from '@noble/curves/jubjub';
@@ -91,7 +101,7 @@ Weierstrass curves feature recovering public keys from signatures and ECDH key a
const sigImprovedSecurity = secp256k1.sign(msg, priv, { extraEntropy: true });
sig.recoverPublicKey(msg) === pub; // public key recovery
const someonesPub = secp256k1.getPublicKey(secp256k1.utils.randomPrivateKey());
const shared = secp256k1.getSharedSecret(priv, someonesPub); // ECDH (elliptic curve diffie-hellman)
const shared = secp256k1.getSharedSecret(priv, someonesPub); // ECDH
```
secp256k1 has schnorr signature implementation which follows
@@ -104,7 +114,6 @@ const pub = schnorr.getPublicKey(priv);
const msg = new TextEncoder().encode('hello');
const sig = schnorr.sign(msg, priv);
const isValid = schnorr.verify(sig, msg, pub);
console.log(isValid);
```
ed25519 module has ed25519ctx / ed25519ph variants,
@@ -135,18 +144,20 @@ RistrettoPoint.hashToCurve('Ristretto is traditionally a short shot of espresso
// also has add(), equals(), multiply(), toRawBytes() methods
```
ed448 module is basically the same:
ed448 is similar:
```ts
import { ed448, ed448ph, ed448ctx, x448 } from '@noble/curves/ed448';
import { hashToCurve, encodeToCurve } from '@noble/curves/ed448';
ed448.getPublicKey(ed448.utils.randomPrivateKey());
```
BLS12-381 pairing-friendly Barreto-Lynn-Scott elliptic curve construction allows to
construct [zk-SNARKs](https://z.cash/technology/zksnarks/) at the 128-bit security
and use aggregated, batch-verifiable
[threshold signatures](https://medium.com/snigirev.stepan/bls-signatures-better-than-schnorr-5a7fe30ea716),
using Boneh-Lynn-Shacham signature scheme.
using Boneh-Lynn-Shacham signature scheme. Compatible with ETH and others,
just make sure to provide correct DST (domain separation tag argument).
```ts
import { bls12_381 as bls } from '@noble/curves/bls12-381';
@@ -183,10 +194,13 @@ console.log({ publicKeys, signatures3, aggSignature3, isValid3 });
## Abstract API
Abstract API allows to define custom curves. All arithmetics is done with JS bigints over finite fields,
which is defined from `modular` sub-module. For scalar multiplication, we use [precomputed tables with w-ary non-adjacent form (wNAF)](https://paulmillr.com/posts/noble-secp256k1-fast-ecc/).
Precomputes are enabled for weierstrass and edwards BASE points of a curve. You could precompute any
other point (e.g. for ECDH) using `utils.precompute()` method: check out examples.
Abstract API allows to define custom curves. All arithmetics is done with JS
bigints over finite fields, which is defined from `modular` sub-module. For
scalar multiplication, we use
[precomputed tables with w-ary non-adjacent form (wNAF)](https://paulmillr.com/posts/noble-secp256k1-fast-ecc/).
Precomputes are enabled for weierstrass and edwards BASE points of a curve. You
could precompute any other point (e.g. for ECDH) using `utils.precompute()`
method: check out examples.
There are following zero-dependency algorithms:
@@ -202,14 +216,34 @@ There are following zero-dependency algorithms:
```ts
import { weierstrass } from '@noble/curves/abstract/weierstrass';
import { Fp } from '@noble/curves/abstract/modular'; // finite field for mod arithmetics
import { sha256 } from '@noble/hashes/sha256'; // 3rd-party sha256() of type utils.CHash
import { hmac } from '@noble/hashes/hmac'; // 3rd-party hmac() that will accept sha256()
import { concatBytes, randomBytes } from '@noble/hashes/utils'; // 3rd-party utilities
const secq256k1 = weierstrass({
// secq256k1: cycle of secp256k1 with Fp/N flipped.
// https://personaelabs.org/posts/spartan-ecdsa
// https://zcash.github.io/halo2/background/curves.html#cycles-of-curves
a: 0n,
b: 7n,
Fp: Fp(2n ** 256n - 432420386565659656852420866394968145599n),
n: 2n ** 256n - 2n ** 32n - 2n ** 9n - 2n ** 8n - 2n ** 7n - 2n ** 6n - 2n ** 4n - 1n,
Gx: 55066263022277343669578718895168534326250603453777594175500187360389116729240n,
Gy: 32670510020758816978083085130507043184471273380659243275938904335757337482424n,
hash: sha256,
hmac: (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(sha256, key, concatBytes(...msgs)),
randomBytes,
});
```
Short Weierstrass curve's formula is `y² = x³ + ax + b`. `weierstrass` expects arguments `a`, `b`, field `Fp`, curve order `n`, cofactor `h`
Short Weierstrass curve's formula is `y² = x³ + ax + b`. `weierstrass`
expects arguments `a`, `b`, field `Fp`, curve order `n`, cofactor `h`
and coordinates `Gx`, `Gy` of generator point.
**`k` generation** is done deterministically, following [RFC6979](https://www.rfc-editor.org/rfc/rfc6979).
For this you will need `hmac` & `hash`, which in our implementations is provided by noble-hashes.
If you're using different hashing library, make sure to wrap it in the following interface:
**`k` generation** is done deterministically, following
[RFC6979](https://www.rfc-editor.org/rfc/rfc6979). For this you will need
`hmac` & `hash`, which in our implementations is provided by noble-hashes. If
you're using different hashing library, make sure to wrap it in the following interface:
```ts
type CHash = {
@@ -225,11 +259,35 @@ type CHash = {
1. Exported as `ProjectivePoint`
2. Represented in projective (homogeneous) coordinates: (x, y, z) ∋ (x=x/z, y=y/z)
3. Use complete exception-free formulas for addition and doubling
4. Can be decoded/encoded from/to Uint8Array / hex strings using `ProjectivePoint.fromHex` and `ProjectivePoint#toRawBytes()`
4. Can be decoded/encoded from/to Uint8Array / hex strings using
`ProjectivePoint.fromHex` and `ProjectivePoint#toRawBytes()`
5. Have `assertValidity()` which checks for being on-curve
6. Have `toAffine()` and `x` / `y` getters which convert to 2d xy affine coordinates
```ts
// `weierstrass()` returns `CurveFn`
type SignOpts = { lowS?: boolean; prehash?: boolean; extraEntropy: boolean | Uint8Array };
type CurveFn = {
CURVE: ReturnType<typeof validateOpts>;
getPublicKey: (privateKey: PrivKey, isCompressed?: boolean) => Uint8Array;
getSharedSecret: (privateA: PrivKey, publicB: Hex, isCompressed?: boolean) => Uint8Array;
sign: (msgHash: Hex, privKey: PrivKey, opts?: SignOpts) => SignatureType;
verify: (
signature: Hex | SignatureType,
msgHash: Hex,
publicKey: Hex,
opts?: { lowS?: boolean; prehash?: boolean }
) => boolean;
ProjectivePoint: ProjectivePointConstructor;
Signature: SignatureConstructor;
utils: {
normPrivateKeyToScalar: (key: PrivKey) => bigint;
isValidPrivateKey(key: PrivKey): boolean;
randomPrivateKey: () => Uint8Array;
precompute: (windowSize?: number, point?: ProjPointType<bigint>) => ProjPointType<bigint>;
};
};
// T is usually bigint, but can be something else like complex numbers in BLS curves
interface ProjPointType<T> extends Group<ProjPointType<T>> {
readonly px: T;
@@ -255,7 +313,8 @@ interface ProjConstructor<T> extends GroupConstructor<ProjPointType<T>> {
}
```
**ECDSA signatures** are represented by `Signature` instances and can be described by the interface:
**ECDSA signatures** are represented by `Signature` instances and can be
described by the interface:
```ts
interface SignatureType {
@@ -280,28 +339,9 @@ type SignatureConstructor = {
};
```
Example implementing [secq256k1](https://personaelabs.org/posts/spartan-ecdsa) (NOT secp256k1)
[cycle](https://zcash.github.io/halo2/background/curves.html#cycles-of-curves) of secp256k1 with Fp/N flipped.
More examples:
```typescript
import { weierstrass } from '@noble/curves/abstract/weierstrass';
import { Field } from '@noble/curves/abstract/modular'; // finite field, mod arithmetics done over it
import { sha256 } from '@noble/hashes/sha256'; // 3rd-party sha256() of type utils.CHash, with blockLen/outputLen
import { hmac } from '@noble/hashes/hmac'; // 3rd-party hmac() that will accept sha256()
import { concatBytes, randomBytes } from '@noble/hashes/utils'; // 3rd-party utilities
const secq256k1 = weierstrass({
// secq256k1: cycle of secp256k1 with Fp/N flipped.
a: 0n,
b: 7n,
Fp: Field(2n ** 256n - 432420386565659656852420866394968145599n),
n: 2n ** 256n - 2n ** 32n - 2n ** 9n - 2n ** 8n - 2n ** 7n - 2n ** 6n - 2n ** 4n - 1n,
Gx: 55066263022277343669578718895168534326250603453777594175500187360389116729240n,
Gy: 32670510020758816978083085130507043184471273380659243275938904335757337482424n,
hash: sha256,
hmac: (key: Uint8Array, ...msgs: Uint8Array[]) => hmac(sha256, key, concatBytes(...msgs)),
randomBytes,
});
// All curves expose same generic interface.
const priv = secq256k1.utils.randomPrivateKey();
secq256k1.getPublicKey(priv); // Convert private key to public.
@@ -327,33 +367,34 @@ const fast = secq256k1.utils.precompute(8, Point.fromHex(someonesPubKey));
fast.multiply(privKey); // much faster ECDH now
```
`weierstrass()` returns `CurveFn`:
### abstract/edwards: Twisted Edwards curve
```ts
type SignOpts = { lowS?: boolean; prehash?: boolean; extraEntropy: boolean | Uint8Array };
type CurveFn = {
CURVE: ReturnType<typeof validateOpts>;
getPublicKey: (privateKey: PrivKey, isCompressed?: boolean) => Uint8Array;
getSharedSecret: (privateA: PrivKey, publicB: Hex, isCompressed?: boolean) => Uint8Array;
sign: (msgHash: Hex, privKey: PrivKey, opts?: SignOpts) => SignatureType;
verify: (
signature: Hex | SignatureType,
msgHash: Hex,
publicKey: Hex,
opts?: { lowS?: boolean; prehash?: boolean }
) => boolean;
ProjectivePoint: ProjectivePointConstructor;
Signature: SignatureConstructor;
utils: {
normPrivateKeyToScalar: (key: PrivKey) => bigint;
isValidPrivateKey(key: PrivKey): boolean;
randomPrivateKey: () => Uint8Array;
precompute: (windowSize?: number, point?: ProjPointType<bigint>) => ProjPointType<bigint>;
};
};
```
import { twistedEdwards } from '@noble/curves/abstract/edwards';
import { Fp } from '@noble/curves/abstract/modular';
import { sha512 } from '@noble/hashes/sha512';
import { randomBytes } from '@noble/hashes/utils';
### abstract/edwards: Twisted Edwards curve
const fp = Fp(2n ** 255n - 19n);
const ed25519 = twistedEdwards({
a: -1n,
d: fp.div(-121665n, 121666n), // -121665n/121666n mod p
Fp: fp,
n: 2n ** 252n + 27742317777372353535851937790883648493n,
h: 8n,
Gx: 15112221349535400772501151409588531511454012693041857206046113283949847762202n,
Gy: 46316835694926478169428394003475163141307993866256225615783033603165251855960n,
hash: sha512,
randomBytes,
adjustScalarBytes(bytes) {
// optional; but mandatory in ed25519
bytes[0] &= 248;
bytes[31] &= 127;
bytes[31] |= 64;
return bytes;
},
} as const);
```
Twisted Edwards curve's formula is `ax² + y² = 1 + dx²y²`. You must specify `a`, `d`, field `Fp`, order `n`, cofactor `h`
and coordinates `Gx`, `Gy` of generator point.
@@ -371,6 +412,25 @@ For EdDSA signatures, `hash` param required. `adjustScalarBytes` which instructs
7. Have `isTorsionFree()`, `clearCofactor()` and `isSmallOrder()` utilities to handle torsions
```ts
// `twistedEdwards()` returns `CurveFn` of following type:
type CurveFn = {
CURVE: ReturnType<typeof validateOpts>;
getPublicKey: (privateKey: Hex) => Uint8Array;
sign: (message: Hex, privateKey: Hex, context?: Hex) => Uint8Array;
verify: (sig: SigType, message: Hex, publicKey: Hex, context?: Hex) => boolean;
ExtendedPoint: ExtPointConstructor;
utils: {
randomPrivateKey: () => Uint8Array;
getExtendedPublicKey: (key: PrivKey) => {
head: Uint8Array;
prefix: Uint8Array;
scalar: bigint;
point: PointType;
pointBytes: Uint8Array;
};
};
};
interface ExtPointType extends Group<ExtPointType> {
readonly ex: bigint;
readonly ey: bigint;
@@ -393,67 +453,14 @@ interface ExtPointConstructor extends GroupConstructor<ExtPointType> {
}
```
Example implementing edwards25519:
```ts
import { twistedEdwards } from '@noble/curves/abstract/edwards';
import { Field, div } from '@noble/curves/abstract/modular';
import { sha512 } from '@noble/hashes/sha512';
const Fp = Field(2n ** 255n - 19n);
const ed25519 = twistedEdwards({
a: -1n,
d: Fp.div(-121665n, 121666n), // -121665n/121666n mod p
Fp,
n: 2n ** 252n + 27742317777372353535851937790883648493n,
h: 8n,
Gx: 15112221349535400772501151409588531511454012693041857206046113283949847762202n,
Gy: 46316835694926478169428394003475163141307993866256225615783033603165251855960n,
hash: sha512,
randomBytes,
adjustScalarBytes(bytes) {
// optional; but mandatory in ed25519
bytes[0] &= 248;
bytes[31] &= 127;
bytes[31] |= 64;
return bytes;
},
} as const);
```
`twistedEdwards()` returns `CurveFn` of following type:
```ts
type CurveFn = {
CURVE: ReturnType<typeof validateOpts>;
getPublicKey: (privateKey: Hex) => Uint8Array;
sign: (message: Hex, privateKey: Hex, context?: Hex) => Uint8Array;
verify: (sig: SigType, message: Hex, publicKey: Hex, context?: Hex) => boolean;
ExtendedPoint: ExtPointConstructor;
utils: {
randomPrivateKey: () => Uint8Array;
getExtendedPublicKey: (key: PrivKey) => {
head: Uint8Array;
prefix: Uint8Array;
scalar: bigint;
point: PointType;
pointBytes: Uint8Array;
};
};
};
```
### abstract/montgomery: Montgomery curve
The module contains methods for x-only ECDH on Curve25519 / Curve448 from RFC7748. Proper Elliptic Curve Points are not implemented yet.
You must specify curve params `Fp`, `a`, `Gu` coordinate of u, `montgomeryBits` and `nByteLength`.
```typescript
import { montgomery } from '@noble/curves/abstract/montgomery';
import { Fp } from '@noble/curves/abstract/modular';
const x25519 = montgomery({
Fp: Field(2n ** 255n - 19n),
Fp: Fp(2n ** 255n - 19n),
a: 486662n,
Gu: 9n,
montgomeryBits: 255,
@@ -468,11 +475,16 @@ const x25519 = montgomery({
});
```
The module contains methods for x-only ECDH on Curve25519 / Curve448 from RFC7748.
Proper Elliptic Curve Points are not implemented yet.
You must specify curve params `Fp`, `a`, `Gu` coordinate of u, `montgomeryBits` and `nByteLength`.
### abstract/hash-to-curve: Hashing strings to curve points
The module allows to hash arbitrary strings to elliptic curve points. Implements [hash-to-curve v16](https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-16).
Every curve has exported `hashToCurve` and `encodeToCurve` methods:
Every curve has exported `hashToCurve` and `encodeToCurve` methods. You should always prefer `hashToCurve` for security:
```ts
import { hashToCurve, encodeToCurve } from '@noble/curves/secp256k1';
@@ -508,19 +520,37 @@ function expand_message_xof(
): Uint8Array;
```
`hash_to_field(msg, count, options)` [(spec)](https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-5.3)
`hash_to_field(msg, count, options)`
[(spec)](https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-5.3)
hashes arbitrary-length byte strings to a list of one or more elements of a finite field F.
- `msg` a byte string containing the message to hash
- `count` the number of elements of F to output
- `options` `{DST: string, p: bigint, m: number, k: number, expand: 'xmd' | 'xof', hash: H}`.
- `p` is field prime, m=field extension (1 for prime fields)
- `k` is security target in bits (e.g. 128).
- `expand` should be `xmd` for SHA2, SHA3, BLAKE; `xof` for SHAKE, BLAKE-XOF
- `hash` conforming to `utils.CHash` interface, with `outputLen` / `blockLen` props
- Returns `[u_0, ..., u_(count - 1)]`, a list of field elements.
```ts
/**
* * `DST` is a domain separation tag, defined in section 2.2.5
* * `p` characteristic of F, where F is a finite field of characteristic p and order q = p^m
* * `m` is extension degree (1 for prime fields)
* * `k` is the target security target in bits (e.g. 128), from section 5.1
* * `expand` is `xmd` (SHA2, SHA3, BLAKE) or `xof` (SHAKE, BLAKE-XOF)
* * `hash` conforming to `utils.CHash` interface, with `outputLen` / `blockLen` props
*/
type UnicodeOrBytes = string | Uint8Array;
type Opts = {
DST: UnicodeOrBytes;
p: bigint;
m: number;
k: number;
expand?: 'xmd' | 'xof';
hash: CHash;
};
/**
* Hashes arbitrary-length byte strings to a list of one or more elements of a finite field F
* https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-5.3
* @param msg a byte string containing the message to hash
* @param count the number of elements of F to output
* @param options `{DST: string, p: bigint, m: number, k: number, expand: 'xmd' | 'xof', hash: H}`, see above
* @returns [u_0, ..., u_(count - 1)], a list of field elements.
*/
function hash_to_field(msg: Uint8Array, count: number, options: Opts): bigint[][];
```
@@ -530,7 +560,7 @@ Implements [Poseidon](https://www.poseidon-hash.info) ZK-friendly hash.
There are many poseidon variants with different constants.
We don't provide them: you should construct them manually.
The only variant provided resides in `stark` module: inspect it for proper usage.
Check out [micro-starknet](https://github.com/paulmillr/micro-starknet) package for a proper example.
```ts
import { poseidon } from '@noble/curves/abstract/poseidon';
@@ -541,7 +571,7 @@ type PoseidonOpts = {
roundsFull: number;
roundsPartial: number;
sboxPower?: number;
reversePartialPowIdx?: boolean; // Hack for stark
reversePartialPowIdx?: boolean;
mds: bigint[][];
roundConstants: bigint[][];
};
@@ -612,9 +642,11 @@ utils.equalBytes(Uint8Array.from([0xde]), Uint8Array.from([0xde]));
## Security
The library had no prior security audit. The library has been fuzzed by [Guido Vranken's cryptofuzz](https://github.com/guidovranken/cryptofuzz): you can run the fuzzer by yourself to check it.
[Timing attack](https://en.wikipedia.org/wiki/Timing_attack) considerations: we are using non-CT bigints. However, _JIT-compiler_ and _Garbage Collector_ make "constant time" extremely hard to achieve in a scripting language. Which means _any other JS library can't have constant-timeness_. Even statically typed Rust, a language without GC, [makes it harder to achieve constant-time](https://www.chosenplaintext.ca/open-source/rust-timing-shield/security) for some cases. If your goal is absolute security, don't use any JS lib — including bindings to native ones. Use low-level libraries & languages. Nonetheless we're targetting algorithmic constant time.
1. The library has been audited during Jan-Feb 2023 by an independent security firm [Trail of Bits](https://www.trailofbits.com):
[PDF](https://github.com/trailofbits/publications/blob/master/reviews/2023-01-ryanshea-noblecurveslibrary-securityreview.pdf).
The audit has been funded by Ryan Shea. Audit scope was abstract modules `curve`, `hash-to-curve`, `modular`, `poseidon`, `utils`, `weierstrass`, and top-level modules `_shortw_utils` and `secp256k1`. See [changes since audit](https://github.com/paulmillr/noble-curves/compare/0.7.3..main).
2. The library has been fuzzed by [Guido Vranken's cryptofuzz](https://github.com/guidovranken/cryptofuzz). You can run the fuzzer by yourself to check it.
3. [Timing attack](https://en.wikipedia.org/wiki/Timing_attack) considerations: _JIT-compiler_ and _Garbage Collector_ make "constant time" extremely hard to achieve in a scripting language. Which means _any other JS library can't have constant-timeness_. Even statically typed Rust, a language without GC, [makes it harder to achieve constant-time](https://www.chosenplaintext.ca/open-source/rust-timing-shield/security) for some cases. If your goal is absolute security, don't use any JS lib — including bindings to native ones. Use low-level libraries & languages. Nonetheless we're targetting algorithmic constant time.
We consider infrastructure attacks like rogue NPM modules very important; that's why it's crucial to minimize the amount of 3rd-party dependencies & native bindings. If your app uses 500 dependencies, any dep could get hacked and you'll be downloading malware with every `npm install`. Our goal is to minimize this attack vector. As for devDependencies used by the library:
@@ -670,12 +702,6 @@ getPublicKey x 3,363 ops/sec @ 297μs/op
sign x 1,615 ops/sec @ 619μs/op
verify x 319 ops/sec @ 3ms/op
stark
init x 35 ops/sec @ 28ms/op
pedersen x 884 ops/sec @ 1ms/op
poseidon x 8,598 ops/sec @ 116μs/op
verify x 528 ops/sec @ 1ms/op
ecdh
├─x25519 x 1,337 ops/sec @ 747μs/op
├─secp256k1 x 461 ops/sec @ 2ms/op
@@ -711,17 +737,21 @@ hashToCurve
## Resources
Article about some of library's features: [Learning fast elliptic-curve cryptography](https://paulmillr.com/posts/noble-secp256k1-fast-ecc/). Elliptic curve calculator: [paulmillr.com/ecc](https://paulmillr.com/ecc)
Article about some of library's features: [Learning fast elliptic-curve cryptography](https://paulmillr.com/posts/noble-secp256k1-fast-ecc/)
Projects using the library:
- secp256k1
- [btc-signer](https://github.com/paulmillr/micro-btc-signer), [eth-signer](https://github.com/paulmillr/micro-eth-signer)
- [btc-signer](https://github.com/paulmillr/scure-btc-signer), [eth-signer](https://github.com/paulmillr/micro-eth-signer)
- ed25519
- [sol-signer](https://github.com/paulmillr/micro-sol-signer)
- BLS12-381
- Check out `bls12-381.ts` for articles about the curve
- Threshold sigs demo [genthresh.com](https://genthresh.com)
- BBS signatures [github.com/Wind4Greg/BBS-Draft-Checks](https://github.com/Wind4Greg/BBS-Draft-Checks) following [draft-irtf-cfrg-bbs-signatures-latest](https://identity.foundation/bbs-signature/draft-irtf-cfrg-bbs-signatures.html)
- Others
- All curves demo: Elliptic curve calculator [paulmillr.com/ecc](https://paulmillr.com/ecc)
- [micro-starknet](https://github.com/paulmillr/micro-starknet) for stark-friendly elliptic curve.
## Upgrading
If you're coming from single-feature noble packages, the following changes need to be kept in mind:

Binary file not shown.

11
audit/README.md Normal file
View File

@@ -0,0 +1,11 @@
# Audit
The library has been audited during Jan-Feb 2023 by an independent security firm [Trail of Bits](https://www.trailofbits.com):
[PDF](https://github.com/trailofbits/publications/blob/master/reviews/2023-01-ryanshea-noblecurveslibrary-securityreview.pdf).
The audit has been funded by Ryan Shea. Audit scope was abstract modules `curve`, `hash-to-curve`, `modular`, `poseidon`, `utils`, `weierstrass`, and top-level modules `_shortw_utils` and `secp256k1`. See [changes since audit](https://github.com/paulmillr/noble-curves/compare/0.7.3..main).
File in the directory was saved from
[github.com/trailofbits/publications](https://github.com/trailofbits/publications).
Check out their repo and verify checksums to ensure the PDF in this directory has not been altered.
See information about fuzzing in root [README](../README.md).

13
benchmark/modular.js Normal file
View File

@@ -0,0 +1,13 @@
import { run, mark } from 'micro-bmark';
import { secp256k1 } from '../secp256k1.js';
import { Fp } from '../abstract/modular.js';
run(async () => {
console.log(`\x1b[36mmodular, secp256k1 field\x1b[0m`);
const { Fp: secpFp } = secp256k1.CURVE;
await mark('invert a', 300000, () => secpFp.inv(2n ** 232n - 5910n));
await mark('invert b', 300000, () => secpFp.inv(2n ** 231n - 5910n));
await mark('sqrt p = 3 mod 4', 15000, () => secpFp.sqrt(2n ** 231n - 5910n));
const FpStark = Fp(BigInt('0x800000000000011000000000000000000000000000000000000000000000001'));
await mark('sqrt tonneli-shanks', 500, () => FpStark.sqrt(2n ** 231n - 5909n))
});

View File

@@ -16,7 +16,6 @@
},
"dependencies": {
"@noble/hashes": "^1.1.5",
"@starkware-industries/starkware-crypto-utils": "^0.0.2",
"elliptic": "^6.5.4"
}
}

View File

@@ -1,56 +0,0 @@
import { run, mark, compare, utils } from 'micro-bmark';
import * as starkwareCrypto from '@starkware-industries/starkware-crypto-utils';
import * as stark from '../stark.js';
run(async () => {
const RAM = false;
if (RAM) utils.logMem();
console.log(`\x1b[36mstark\x1b[0m`);
await mark('init', 1, () => stark.utils.precompute(8));
const d = (() => {
const priv = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
const msg = 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47';
const pub = stark.getPublicKey(priv);
const sig = stark.sign(msg, priv);
const privateKey = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
const msgHash = 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47';
const keyPair = starkwareCrypto.default.ec.keyFromPrivate(privateKey, 'hex');
const publicKeyStark = starkwareCrypto.default.ec.keyFromPublic(
keyPair.getPublic(true, 'hex'),
'hex'
);
return { priv, sig, msg, pub, publicKeyStark, msgHash, keyPair };
})();
await compare('pedersen', 500, {
old: () => {
return starkwareCrypto.default.pedersen([
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a',
]);
},
noble: () => {
return stark.pedersen(
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a'
);
},
});
await mark('poseidon', 10000, () => stark.poseidonHash(
0x3d937c035c878245caf64531a5756109c53068da139362728feb561405371cbn,
0x208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31an
));
await compare('verify', 500, {
old: () => {
return starkwareCrypto.default.verify(
d.publicKeyStark,
d.msgHash,
starkwareCrypto.default.sign(d.keyPair, d.msgHash)
);
},
noble: () => {
return stark.verify(stark.sign(d.msg, d.priv), d.msg, d.pub);
},
});
if (RAM) utils.logMem();
});

View File

@@ -2,6 +2,6 @@
"type": "module",
"browser": {
"crypto": false,
"./crypto": "./esm/cryptoBrowser.js"
"./crypto": "./esm/crypto.js"
}
}

62
package-lock.json generated
View File

@@ -1,12 +1,12 @@
{
"name": "@noble/curves",
"version": "0.7.2",
"version": "0.8.3",
"lockfileVersion": 3,
"requires": true,
"packages": {
"": {
"name": "@noble/curves",
"version": "0.7.2",
"version": "0.8.3",
"funding": [
{
"type": "individual",
@@ -15,23 +15,23 @@
],
"license": "MIT",
"dependencies": {
"@noble/hashes": "1.2.0"
"@noble/hashes": "1.3.0"
},
"devDependencies": {
"@scure/bip32": "~1.1.5",
"@scure/bip39": "~1.1.1",
"@types/node": "18.11.3",
"@types/node": "18.11.18",
"fast-check": "3.0.0",
"micro-bmark": "0.3.1",
"micro-should": "0.4.0",
"prettier": "2.8.3",
"typescript": "4.7.3"
"prettier": "2.8.4",
"typescript": "5.0.2"
}
},
"node_modules/@noble/hashes": {
"version": "1.2.0",
"resolved": "https://registry.npmjs.org/@noble/hashes/-/hashes-1.2.0.tgz",
"integrity": "sha512-FZfhjEDbT5GRswV3C6uvLPHMiVD6lQBmpoX5+eSiPaMTXte/IKqI5dykDxzZB/WBeK/CDuQRBWarPdi3FNY2zQ==",
"version": "1.3.0",
"resolved": "https://registry.npmjs.org/@noble/hashes/-/hashes-1.3.0.tgz",
"integrity": "sha512-ilHEACi9DwqJB0pw7kv+Apvh50jiiSyR/cQ3y4W7lOR5mhvn/50FLUfsnfJz0BDZtl/RR16kXvptiv6q1msYZg==",
"funding": [
{
"type": "individual",
@@ -80,6 +80,18 @@
"@scure/base": "~1.1.0"
}
},
"node_modules/@scure/bip32/node_modules/@noble/hashes": {
"version": "1.2.0",
"resolved": "https://registry.npmjs.org/@noble/hashes/-/hashes-1.2.0.tgz",
"integrity": "sha512-FZfhjEDbT5GRswV3C6uvLPHMiVD6lQBmpoX5+eSiPaMTXte/IKqI5dykDxzZB/WBeK/CDuQRBWarPdi3FNY2zQ==",
"dev": true,
"funding": [
{
"type": "individual",
"url": "https://paulmillr.com/funding/"
}
]
},
"node_modules/@scure/bip39": {
"version": "1.1.1",
"resolved": "https://registry.npmjs.org/@scure/bip39/-/bip39-1.1.1.tgz",
@@ -96,10 +108,22 @@
"@scure/base": "~1.1.0"
}
},
"node_modules/@scure/bip39/node_modules/@noble/hashes": {
"version": "1.2.0",
"resolved": "https://registry.npmjs.org/@noble/hashes/-/hashes-1.2.0.tgz",
"integrity": "sha512-FZfhjEDbT5GRswV3C6uvLPHMiVD6lQBmpoX5+eSiPaMTXte/IKqI5dykDxzZB/WBeK/CDuQRBWarPdi3FNY2zQ==",
"dev": true,
"funding": [
{
"type": "individual",
"url": "https://paulmillr.com/funding/"
}
]
},
"node_modules/@types/node": {
"version": "18.11.3",
"resolved": "https://registry.npmjs.org/@types/node/-/node-18.11.3.tgz",
"integrity": "sha512-fNjDQzzOsZeKZu5NATgXUPsaFaTxeRgFXoosrHivTl8RGeV733OLawXsGfEk9a8/tySyZUyiZ6E8LcjPFZ2y1A==",
"version": "18.11.18",
"resolved": "https://registry.npmjs.org/@types/node/-/node-18.11.18.tgz",
"integrity": "sha512-DHQpWGjyQKSHj3ebjFI/wRKcqQcdR+MoFBygntYOZytCqNfkd2ZC4ARDJ2DQqhjH5p85Nnd3jhUJIXrszFX/JA==",
"dev": true
},
"node_modules/fast-check": {
@@ -131,9 +155,9 @@
"dev": true
},
"node_modules/prettier": {
"version": "2.8.3",
"resolved": "https://registry.npmjs.org/prettier/-/prettier-2.8.3.tgz",
"integrity": "sha512-tJ/oJ4amDihPoufT5sM0Z1SKEuKay8LfVAMlbbhnnkvt6BUserZylqo2PN+p9KeljLr0OHa2rXHU1T8reeoTrw==",
"version": "2.8.4",
"resolved": "https://registry.npmjs.org/prettier/-/prettier-2.8.4.tgz",
"integrity": "sha512-vIS4Rlc2FNh0BySk3Wkd6xmwxB0FpOndW5fisM5H8hsZSxU2VWVB5CWIkIjWvrHjIhxk2g3bfMKM87zNTrZddw==",
"dev": true,
"bin": {
"prettier": "bin-prettier.js"
@@ -162,16 +186,16 @@
]
},
"node_modules/typescript": {
"version": "4.7.3",
"resolved": "https://registry.npmjs.org/typescript/-/typescript-4.7.3.tgz",
"integrity": "sha512-WOkT3XYvrpXx4vMMqlD+8R8R37fZkjyLGlxavMc4iB8lrl8L0DeTcHbYgw/v0N/z9wAFsgBhcsF0ruoySS22mA==",
"version": "5.0.2",
"resolved": "https://registry.npmjs.org/typescript/-/typescript-5.0.2.tgz",
"integrity": "sha512-wVORMBGO/FAs/++blGNeAVdbNKtIh1rbBL2EyQ1+J9lClJ93KiiKe8PmFIVdXhHcyv44SL9oglmfeSsndo0jRw==",
"dev": true,
"bin": {
"tsc": "bin/tsc",
"tsserver": "bin/tsserver"
},
"engines": {
"node": ">=4.2.0"
"node": ">=12.20"
}
}
}

View File

@@ -1,6 +1,6 @@
{
"name": "@noble/curves",
"version": "0.7.3",
"version": "0.8.3",
"description": "Minimal, auditable JS implementation of elliptic curve cryptography",
"files": [
"abstract",
@@ -12,9 +12,10 @@
"*.d.ts.map"
],
"scripts": {
"bench": "cd benchmark; node secp256k1.js; node curves.js; node ecdh.js; node stark.js; node bls.js",
"bench": "cd benchmark; node secp256k1.js; node curves.js; node ecdh.js; node hash-to-curve.js; node modular.js; node bls.js",
"build": "tsc && tsc -p tsconfig.esm.json",
"build:release": "rollup -c rollup.config.js",
"build:clean": "rm *.{js,d.ts,d.ts.map,js.map} esm/*.{js,d.ts,d.ts.map,js.map} 2> /dev/null",
"lint": "prettier --check 'src/**/*.{js,ts}' 'test/*.js'",
"format": "prettier --write 'src/**/*.{js,ts}' 'test/*.js'",
"test": "node test/index.test.js"
@@ -27,17 +28,17 @@
},
"license": "MIT",
"dependencies": {
"@noble/hashes": "1.2.0"
"@noble/hashes": "1.3.0"
},
"devDependencies": {
"@scure/bip32": "~1.1.5",
"@scure/bip39": "~1.1.1",
"@types/node": "18.11.3",
"@types/node": "18.11.18",
"fast-check": "3.0.0",
"micro-bmark": "0.3.1",
"micro-should": "0.4.0",
"prettier": "2.8.3",
"typescript": "4.7.3"
"prettier": "2.8.4",
"typescript": "5.0.2"
},
"main": "index.js",
"exports": {
@@ -150,11 +151,6 @@
"types": "./secp256k1.d.ts",
"import": "./esm/secp256k1.js",
"default": "./secp256k1.js"
},
"./stark": {
"types": "./stark.d.ts",
"import": "./esm/stark.js",
"default": "./stark.js"
}
},
"keywords": [

View File

@@ -11,8 +11,9 @@ import { bytesToNumberBE, CHash, concatBytes, utf8ToBytes, validateObject } from
* * `expand` is `xmd` (SHA2, SHA3, BLAKE) or `xof` (SHAKE, BLAKE-XOF)
* * `hash` conforming to `utils.CHash` interface, with `outputLen` / `blockLen` props
*/
type UnicodeOrBytes = string | Uint8Array;
export type Opts = {
DST: string | Uint8Array;
DST: UnicodeOrBytes;
p: bigint;
m: number;
k: number;
@@ -20,7 +21,7 @@ export type Opts = {
hash: CHash;
};
function validateDST(dst: string | Uint8Array): Uint8Array {
function validateDST(dst: UnicodeOrBytes): Uint8Array {
if (dst instanceof Uint8Array) return dst;
if (typeof dst === 'string') return utf8ToBytes(dst);
throw new Error('DST must be Uint8Array or string');
@@ -125,6 +126,13 @@ export function expand_message_xof(
* @returns [u_0, ..., u_(count - 1)], a list of field elements.
*/
export function hash_to_field(msg: Uint8Array, count: number, options: Opts): bigint[][] {
validateObject(options, {
DST: 'string',
p: 'bigint',
m: 'isSafeInteger',
k: 'isSafeInteger',
hash: 'hash',
});
const { p, k, m, hash, expand, DST: _DST } = options;
isBytes(msg);
isNum(count);
@@ -183,24 +191,17 @@ export type MapToCurve<T> = (scalar: bigint[]) => AffinePoint<T>;
// Separated from initialization opts, so users won't accidentally change per-curve parameters
// (changing DST is ok!)
export type htfBasicOpts = { DST: string };
export type htfBasicOpts = { DST: UnicodeOrBytes };
export function createHasher<T>(
Point: H2CPointConstructor<T>,
mapToCurve: MapToCurve<T>,
def: Opts & { encodeDST?: string }
def: Opts & { encodeDST?: UnicodeOrBytes }
) {
validateObject(def, {
DST: 'string',
p: 'bigint',
m: 'isSafeInteger',
k: 'isSafeInteger',
hash: 'hash',
});
if (typeof mapToCurve !== 'function') throw new Error('mapToCurve() must be defined');
return {
// Encodes byte string to elliptic curve
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-3
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-16#section-3
hashToCurve(msg: Uint8Array, options?: htfBasicOpts) {
const u = hash_to_field(msg, 2, { ...def, DST: def.DST, ...options } as Opts);
const u0 = Point.fromAffine(mapToCurve(u[0]));

View File

@@ -56,6 +56,7 @@ export function invert(number: bigint, modulo: bigint): bigint {
throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`);
}
// Eucledian GCD https://brilliant.org/wiki/extended-euclidean-algorithm/
// Fermat's little theorem "CT-like" version inv(n) = n^(m-2) mod m is 30x slower.
let a = mod(number, modulo);
let b = modulo;
// prettier-ignore

View File

@@ -943,16 +943,10 @@ export function weierstrass(curveDef: CurveType): CurveFn {
const q = Point.BASE.multiply(k).toAffine(); // q = Gk
const r = modN(q.x); // r = q.x mod n
if (r === _0n) return;
// X blinding according to https://tches.iacr.org/index.php/TCHES/article/view/7337/6509
// b * m + b * r * d ∈ [0,q1] exposed via side-channel, but d (private scalar) is not.
// NOTE: there is still probable some leak in multiplication, since it is not constant-time
const b = ut.bytesToNumberBE(utils.randomPrivateKey()); // random scalar, b ∈ [1,q1]
const bi = invN(b); // b^-1
const bdr = modN(b * d * r); // b * d * r
const bm = modN(b * m); // b * m
const mrx = modN(bi * modN(bdr + bm)); // b^-1(bm + bdr) -> m + rd
const s = modN(ik * mrx); // s = k^-1(m + rd) mod n
// Can use scalar blinding b^-1(bm + bdr) where b ∈ [1,q1] according to
// https://tches.iacr.org/index.php/TCHES/article/view/7337/6509. We've decided against it:
// a) dependency on CSPRNG b) 15% slowdown c) doesn't really help since bigints are not CT
const s = modN(ik * modN(m + r * d)); // Not using blinding here
if (s === _0n) return;
let recovery = (q.x === r ? 0 : 2) | Number(q.y & _1n); // recovery bit (2 or 3, when q.x > n)
let normS = s;

View File

@@ -13,6 +13,7 @@ import {
ensureBytes,
} from './abstract/utils.js';
import * as htf from './abstract/hash-to-curve.js';
import { AffinePoint } from './abstract/curve.js';
/**
* ed25519 Twisted Edwards curve with following addons:
@@ -309,6 +310,11 @@ export class RistrettoPoint {
// Private property to discourage combining ExtendedPoint + RistrettoPoint
// Always use Ristretto encoding/decoding instead.
constructor(private readonly ep: ExtendedPoint) {}
static fromAffine(ap: AffinePoint<bigint>) {
return new RistrettoPoint(ed25519.ExtendedPoint.fromAffine(ap));
}
/**
* Takes uniform output of 64-bit hash function like sha512 and converts it to `RistrettoPoint`.
* The hash-to-group operation applies Elligator twice and adds the results.
@@ -401,7 +407,7 @@ export class RistrettoPoint {
equals(other: RistrettoPoint): boolean {
assertRstPoint(other);
const { ex: X1, ey: Y1 } = this.ep;
const { ex: X2, ey: Y2 } = this.ep;
const { ex: X2, ey: Y2 } = other.ep;
const mod = ed25519.CURVE.Fp.create;
// (x1 * y2 == y1 * x2) | (y1 * y2 == x1 * x2)
const one = mod(X1 * Y2) === mod(Y1 * X2);
@@ -427,3 +433,13 @@ export class RistrettoPoint {
return new RistrettoPoint(this.ep.multiplyUnsafe(scalar));
}
}
// https://datatracker.ietf.org/doc/draft-irtf-cfrg-hash-to-curve/14/
// Appendix B. Hashing to ristretto255
export const hash_to_ristretto255 = (msg: Uint8Array, options: htf.htfBasicOpts) => {
const d = options.DST;
const DST = typeof d === 'string' ? utf8ToBytes(d) : d;
const uniform_bytes = htf.expand_message_xmd(msg, DST, 64, sha512);
const P = RistrettoPoint.hashToCurve(uniform_bytes);
return P;
};

View File

@@ -115,12 +115,13 @@ const modN = (x: bigint) => mod(x, secp256k1N);
const Point = secp256k1.ProjectivePoint;
const GmulAdd = (Q: PointType<bigint>, a: bigint, b: bigint) =>
Point.BASE.multiplyAndAddUnsafe(Q, a, b);
// Calculate point, scalar and bytes
function schnorrGetExtPubKey(priv: PrivKey) {
const d = secp256k1.utils.normPrivateKeyToScalar(priv); // same method executed in fromPrivateKey
const point = Point.fromPrivateKey(d); // P = d'⋅G; 0 < d' < n check is done inside
const scalar = point.hasEvenY() ? d : modN(-d); // d = d' if has_even_y(P), otherwise d = n-d'
return { point, scalar, bytes: pointToBytes(point) };
let d_ = secp256k1.utils.normPrivateKeyToScalar(priv); // same method executed in fromPrivateKey
let p = Point.fromPrivateKey(d_); // P = d'⋅G; 0 < d' < n check is done inside
const scalar = p.hasEvenY() ? d_ : modN(-d_);
return { scalar: scalar, bytes: pointToBytes(p) };
}
/**
* lift_x from BIP340. Convert 32-byte x coordinate to elliptic curve point.
@@ -166,10 +167,10 @@ function schnorrSign(
const rand = taggedHash('BIP0340/nonce', t, px, m); // Let rand = hash/nonce(t || bytes(P) || m)
const k_ = modN(bytesToNumberBE(rand)); // Let k' = int(rand) mod n
if (k_ === _0n) throw new Error('sign failed: k is zero'); // Fail if k' = 0.
const { point: R, bytes: rx, scalar: k } = schnorrGetExtPubKey(k_); // Let R = k'⋅G.
const { bytes: rx, scalar: k } = schnorrGetExtPubKey(k_); // Let R = k'⋅G.
const e = challenge(rx, px, m); // Let e = int(hash/challenge(bytes(R) || bytes(P) || m)) mod n.
const sig = new Uint8Array(64); // Let sig = bytes(R) || bytes((k + ed) mod n).
sig.set(numTo32b(R.px), 0);
sig.set(rx, 0);
sig.set(numTo32b(modN(k + e * d)), 32);
// If Verify(bytes(P), m, sig) (see below) returns failure, abort
if (!schnorrVerify(sig, m, px)) throw new Error('sign: Invalid signature produced');
@@ -205,7 +206,6 @@ export const schnorr = {
verify: schnorrVerify,
utils: {
randomPrivateKey: secp256k1.utils.randomPrivateKey,
getExtendedPublicKey: schnorrGetExtPubKey,
lift_x,
pointToBytes,
numberToBytesBE,

View File

@@ -1,318 +0,0 @@
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
import { keccak_256 } from '@noble/hashes/sha3';
import { sha256 } from '@noble/hashes/sha256';
import { utf8ToBytes } from '@noble/hashes/utils';
import { Fp, mod, Field, validateField } from './abstract/modular.js';
import { poseidon } from './abstract/poseidon.js';
import { weierstrass, ProjPointType, SignatureType } from './abstract/weierstrass.js';
import {
Hex,
bitMask,
bytesToHex,
bytesToNumberBE,
concatBytes,
ensureBytes as ensureBytesOrig,
hexToBytes,
hexToNumber,
numberToVarBytesBE,
} from './abstract/utils.js';
import { getHash } from './_shortw_utils.js';
// Stark-friendly elliptic curve
// https://docs.starkware.co/starkex/stark-curve.html
type ProjectivePoint = ProjPointType<bigint>;
const CURVE_ORDER = BigInt(
'3618502788666131213697322783095070105526743751716087489154079457884512865583'
);
const nBitLength = 252;
function bits2int(bytes: Uint8Array): bigint {
while (bytes[0] === 0) bytes = bytes.subarray(1); // strip leading 0s
// Copy-pasted from weierstrass.ts
const delta = bytes.length * 8 - nBitLength;
const num = bytesToNumberBE(bytes);
return delta > 0 ? num >> BigInt(delta) : num;
}
function hex0xToBytes(hex: string): Uint8Array {
if (typeof hex === 'string') {
hex = strip0x(hex); // allow 0x prefix
if (hex.length & 1) hex = '0' + hex; // allow unpadded hex
}
return hexToBytes(hex);
}
const curve = weierstrass({
a: BigInt(1), // Params: a, b
b: BigInt('3141592653589793238462643383279502884197169399375105820974944592307816406665'),
// Field over which we'll do calculations; 2n**251n + 17n * 2n**192n + 1n
// There is no efficient sqrt for field (P%4==1)
Fp: Fp(BigInt('0x800000000000011000000000000000000000000000000000000000000000001')),
n: CURVE_ORDER, // Curve order, total count of valid points in the field.
nBitLength, // len(bin(N).replace('0b',''))
// Base point (x, y) aka generator point
Gx: BigInt('874739451078007766457464989774322083649278607533249481151382481072868806602'),
Gy: BigInt('152666792071518830868575557812948353041420400780739481342941381225525861407'),
h: BigInt(1), // cofactor
lowS: false, // Allow high-s signatures
...getHash(sha256),
// Custom truncation routines for stark curve
bits2int,
bits2int_modN: (bytes: Uint8Array): bigint => {
// 2102820b232636d200cb21f1d330f20d096cae09d1bf3edb1cc333ddee11318 =>
// 2102820b232636d200cb21f1d330f20d096cae09d1bf3edb1cc333ddee113180
const hex = bytesToNumberBE(bytes).toString(16); // toHex unpadded
if (hex.length === 63) bytes = hex0xToBytes(hex + '0'); // append trailing 0
return mod(bits2int(bytes), CURVE_ORDER);
},
});
export const _starkCurve = curve;
function ensureBytes(hex: Hex): Uint8Array {
return ensureBytesOrig('', typeof hex === 'string' ? hex0xToBytes(hex) : hex);
}
function normPrivKey(privKey: Hex): string {
return bytesToHex(ensureBytes(privKey)).padStart(64, '0');
}
export function getPublicKey(privKey: Hex, isCompressed = false): Uint8Array {
return curve.getPublicKey(normPrivKey(privKey), isCompressed);
}
export function getSharedSecret(privKeyA: Hex, pubKeyB: Hex): Uint8Array {
return curve.getSharedSecret(normPrivKey(privKeyA), pubKeyB);
}
export function sign(msgHash: Hex, privKey: Hex, opts?: any): SignatureType {
return curve.sign(ensureBytes(msgHash), normPrivKey(privKey), opts);
}
export function verify(signature: SignatureType | Hex, msgHash: Hex, pubKey: Hex) {
const sig = signature instanceof Signature ? signature : ensureBytes(signature);
return curve.verify(sig, ensureBytes(msgHash), ensureBytes(pubKey));
}
const { CURVE, ProjectivePoint, Signature, utils } = curve;
export { CURVE, ProjectivePoint, Signature, utils };
function extractX(bytes: Uint8Array): string {
const hex = bytesToHex(bytes.subarray(1));
const stripped = hex.replace(/^0+/gm, ''); // strip leading 0s
return `0x${stripped}`;
}
function strip0x(hex: string) {
return hex.replace(/^0x/i, '');
}
function numberTo0x16(num: bigint) {
// can't use utils.numberToHexUnpadded: adds leading 0 for even byte length
return `0x${num.toString(16)}`;
}
// seed generation
export function grindKey(seed: Hex) {
const _seed = ensureBytes(seed);
const sha256mask = 2n ** 256n;
const limit = sha256mask - mod(sha256mask, CURVE_ORDER);
for (let i = 0; ; i++) {
const key = sha256Num(concatBytes(_seed, numberToVarBytesBE(BigInt(i))));
if (key < limit) return mod(key, CURVE_ORDER).toString(16); // key should be in [0, limit)
if (i === 100000) throw new Error('grindKey is broken: tried 100k vals'); // prevent dos
}
}
export function getStarkKey(privateKey: Hex): string {
return extractX(getPublicKey(privateKey, true));
}
export function ethSigToPrivate(signature: string): string {
signature = strip0x(signature);
if (signature.length !== 130) throw new Error('Wrong ethereum signature');
return grindKey(signature.substring(0, 64));
}
const MASK_31 = 2n ** 31n - 1n;
const int31 = (n: bigint) => Number(n & MASK_31);
export function getAccountPath(
layer: string,
application: string,
ethereumAddress: string,
index: number
): string {
const layerNum = int31(sha256Num(layer));
const applicationNum = int31(sha256Num(application));
const eth = hexToNumber(strip0x(ethereumAddress));
return `m/2645'/${layerNum}'/${applicationNum}'/${int31(eth)}'/${int31(eth >> 31n)}'/${index}`;
}
// https://docs.starkware.co/starkex/pedersen-hash-function.html
const PEDERSEN_POINTS = [
new ProjectivePoint(
2089986280348253421170679821480865132823066470938446095505822317253594081284n,
1713931329540660377023406109199410414810705867260802078187082345529207694986n,
1n
),
new ProjectivePoint(
996781205833008774514500082376783249102396023663454813447423147977397232763n,
1668503676786377725805489344771023921079126552019160156920634619255970485781n,
1n
),
new ProjectivePoint(
2251563274489750535117886426533222435294046428347329203627021249169616184184n,
1798716007562728905295480679789526322175868328062420237419143593021674992973n,
1n
),
new ProjectivePoint(
2138414695194151160943305727036575959195309218611738193261179310511854807447n,
113410276730064486255102093846540133784865286929052426931474106396135072156n,
1n
),
new ProjectivePoint(
2379962749567351885752724891227938183011949129833673362440656643086021394946n,
776496453633298175483985398648758586525933812536653089401905292063708816422n,
1n
),
];
function pedersenPrecompute(p1: ProjectivePoint, p2: ProjectivePoint): ProjectivePoint[] {
const out: ProjectivePoint[] = [];
let p = p1;
for (let i = 0; i < 248; i++) {
out.push(p);
p = p.double();
}
// NOTE: we cannot use wNAF here, because last 4 bits will require full 248 bits multiplication
// We can add support for this to wNAF, but it will complicate wNAF.
p = p2;
for (let i = 0; i < 4; i++) {
out.push(p);
p = p.double();
}
return out;
}
const PEDERSEN_POINTS1 = pedersenPrecompute(PEDERSEN_POINTS[1], PEDERSEN_POINTS[2]);
const PEDERSEN_POINTS2 = pedersenPrecompute(PEDERSEN_POINTS[3], PEDERSEN_POINTS[4]);
type PedersenArg = Hex | bigint | number;
function pedersenArg(arg: PedersenArg): bigint {
let value: bigint;
if (typeof arg === 'bigint') {
value = arg;
} else if (typeof arg === 'number') {
if (!Number.isSafeInteger(arg)) throw new Error(`Invalid pedersenArg: ${arg}`);
value = BigInt(arg);
} else {
value = bytesToNumberBE(ensureBytes(arg));
}
if (!(0n <= value && value < curve.CURVE.Fp.ORDER))
throw new Error(`PedersenArg should be 0 <= value < CURVE.P: ${value}`); // [0..Fp)
return value;
}
function pedersenSingle(point: ProjectivePoint, value: PedersenArg, constants: ProjectivePoint[]) {
let x = pedersenArg(value);
for (let j = 0; j < 252; j++) {
const pt = constants[j];
if (pt.px === point.px) throw new Error('Same point');
if ((x & 1n) !== 0n) point = point.add(pt);
x >>= 1n;
}
return point;
}
// shift_point + x_low * P_0 + x_high * P1 + y_low * P2 + y_high * P3
export function pedersen(x: PedersenArg, y: PedersenArg): string {
let point: ProjectivePoint = PEDERSEN_POINTS[0];
point = pedersenSingle(point, x, PEDERSEN_POINTS1);
point = pedersenSingle(point, y, PEDERSEN_POINTS2);
return extractX(point.toRawBytes(true));
}
export function hashChain(data: PedersenArg[], fn = pedersen) {
if (!Array.isArray(data) || data.length < 1)
throw new Error('data should be array of at least 1 element');
if (data.length === 1) return numberTo0x16(pedersenArg(data[0]));
return Array.from(data)
.reverse()
.reduce((acc, i) => fn(i, acc));
}
// Same as hashChain, but computes hash even for single element and order is not revesed
export const computeHashOnElements = (data: PedersenArg[], fn = pedersen) =>
[0, ...data, data.length].reduce((x, y) => fn(x, y));
const MASK_250 = bitMask(250);
export const keccak = (data: Uint8Array): bigint => bytesToNumberBE(keccak_256(data)) & MASK_250;
const sha256Num = (data: Uint8Array | string): bigint => bytesToNumberBE(sha256(data));
// Poseidon hash
export const Fp253 = Fp(
BigInt('14474011154664525231415395255581126252639794253786371766033694892385558855681')
); // 2^253 + 2^199 + 1
export const Fp251 = Fp(
BigInt('3618502788666131213697322783095070105623107215331596699973092056135872020481')
); // 2^251 + 17 * 2^192 + 1
function poseidonRoundConstant(Fp: Field<bigint>, name: string, idx: number) {
const val = Fp.fromBytes(sha256(utf8ToBytes(`${name}${idx}`)));
return Fp.create(val);
}
// NOTE: doesn't check eiginvalues and possible can create unsafe matrix. But any filtration here will break compatibility with starknet
// Please use only if you really know what you doing.
// https://eprint.iacr.org/2019/458.pdf Section 2.3 (Avoiding Insecure Matrices)
export function _poseidonMDS(Fp: Field<bigint>, name: string, m: number, attempt = 0) {
const x_values: bigint[] = [];
const y_values: bigint[] = [];
for (let i = 0; i < m; i++) {
x_values.push(poseidonRoundConstant(Fp, `${name}x`, attempt * m + i));
y_values.push(poseidonRoundConstant(Fp, `${name}y`, attempt * m + i));
}
if (new Set([...x_values, ...y_values]).size !== 2 * m)
throw new Error('X and Y values are not distinct');
return x_values.map((x) => y_values.map((y) => Fp.inv(Fp.sub(x, y))));
}
const MDS_SMALL = [
[3, 1, 1],
[1, -1, 1],
[1, 1, -2],
].map((i) => i.map(BigInt));
export type PoseidonOpts = {
Fp: Field<bigint>;
rate: number;
capacity: number;
roundsFull: number;
roundsPartial: number;
};
export function poseidonBasic(opts: PoseidonOpts, mds: bigint[][]) {
validateField(opts.Fp);
if (!Number.isSafeInteger(opts.rate) || !Number.isSafeInteger(opts.capacity))
throw new Error(`Wrong poseidon opts: ${opts}`);
const m = opts.rate + opts.capacity;
const rounds = opts.roundsFull + opts.roundsPartial;
const roundConstants = [];
for (let i = 0; i < rounds; i++) {
const row = [];
for (let j = 0; j < m; j++) row.push(poseidonRoundConstant(opts.Fp, 'Hades', m * i + j));
roundConstants.push(row);
}
return poseidon({
...opts,
t: m,
sboxPower: 3,
reversePartialPowIdx: true, // Why?!
mds,
roundConstants,
});
}
export function poseidonCreate(opts: PoseidonOpts, mdsAttempt = 0) {
const m = opts.rate + opts.capacity;
if (!Number.isSafeInteger(mdsAttempt)) throw new Error(`Wrong mdsAttempt=${mdsAttempt}`);
return poseidonBasic(opts, _poseidonMDS(opts.Fp, 'HadesMDS', m, mdsAttempt));
}
export const poseidonSmall = poseidonBasic(
{ Fp: Fp251, rate: 2, capacity: 1, roundsFull: 8, roundsPartial: 83 },
MDS_SMALL
);
export function poseidonHash(x: bigint, y: bigint, fn = poseidonSmall) {
return fn([x, y, 2n])[0];
}

View File

@@ -1,7 +1,7 @@
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
import { createCurve } from '../_shortw_utils.js';
import { createCurve } from '../esm/_shortw_utils.js';
import { sha224, sha256 } from '@noble/hashes/sha256';
import { Fp } from '../abstract/modular.js';
import { Fp } from '../esm/abstract/modular.js';
// NIST secp192r1 aka P192
// https://www.secg.org/sec2-v2.pdf, https://neuromancer.sk/std/secg/secp192r1

103
test/_poseidon.helpers.js Normal file
View File

@@ -0,0 +1,103 @@
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
import { sha256 } from '@noble/hashes/sha256';
import { utf8ToBytes } from '@noble/hashes/utils';
import { Fp, validateField } from '../esm/abstract/modular.js';
import { poseidon } from '../esm/abstract/poseidon.js';
import * as u from '../esm/abstract/utils.js';
// Poseidon hash https://docs.starkware.co/starkex/stark-curve.html
export const Fp253 = Fp(
BigInt('14474011154664525231415395255581126252639794253786371766033694892385558855681')
); // 2^253 + 2^199 + 1
export const Fp251 = Fp(
BigInt('3618502788666131213697322783095070105623107215331596699973092056135872020481')
); // 2^251 + 17 * 2^192 + 1
function poseidonRoundConstant(Fp, name, idx) {
const val = Fp.fromBytes(sha256(utf8ToBytes(`${name}${idx}`)));
return Fp.create(val);
}
// NOTE: doesn't check eiginvalues and possible can create unsafe matrix. But any filtration here will break compatibility with starknet
// Please use only if you really know what you doing.
// https://eprint.iacr.org/2019/458.pdf Section 2.3 (Avoiding Insecure Matrices)
export function _poseidonMDS(Fp, name, m, attempt = 0) {
const x_values = [];
const y_values = [];
for (let i = 0; i < m; i++) {
x_values.push(poseidonRoundConstant(Fp, `${name}x`, attempt * m + i));
y_values.push(poseidonRoundConstant(Fp, `${name}y`, attempt * m + i));
}
if (new Set([...x_values, ...y_values]).size !== 2 * m)
throw new Error('X and Y values are not distinct');
return x_values.map((x) => y_values.map((y) => Fp.inv(Fp.sub(x, y))));
}
const MDS_SMALL = [
[3, 1, 1],
[1, -1, 1],
[1, 1, -2],
].map((i) => i.map(BigInt));
export function poseidonBasic(opts, mds) {
validateField(opts.Fp);
if (!Number.isSafeInteger(opts.rate) || !Number.isSafeInteger(opts.capacity))
throw new Error(`Wrong poseidon opts: ${opts}`);
const m = opts.rate + opts.capacity;
const rounds = opts.roundsFull + opts.roundsPartial;
const roundConstants = [];
for (let i = 0; i < rounds; i++) {
const row = [];
for (let j = 0; j < m; j++) row.push(poseidonRoundConstant(opts.Fp, 'Hades', m * i + j));
roundConstants.push(row);
}
const res = poseidon({
...opts,
t: m,
sboxPower: 3,
reversePartialPowIdx: true, // Why?!
mds,
roundConstants,
});
res.m = m;
res.rate = opts.rate;
res.capacity = opts.capacity;
return res;
}
export function poseidonCreate(opts, mdsAttempt = 0) {
const m = opts.rate + opts.capacity;
if (!Number.isSafeInteger(mdsAttempt)) throw new Error(`Wrong mdsAttempt=${mdsAttempt}`);
return poseidonBasic(opts, _poseidonMDS(opts.Fp, 'HadesMDS', m, mdsAttempt));
}
export const poseidonSmall = poseidonBasic(
{ Fp: Fp251, rate: 2, capacity: 1, roundsFull: 8, roundsPartial: 83 },
MDS_SMALL
);
export function poseidonHash(x, y, fn = poseidonSmall) {
return fn([x, y, 2n])[0];
}
export function poseidonHashFunc(x, y, fn = poseidonSmall) {
return u.numberToVarBytesBE(poseidonHash(u.bytesToNumberBE(x), u.bytesToNumberBE(y), fn));
}
export function poseidonHashSingle(x, fn = poseidonSmall) {
return fn([x, 0n, 1n])[0];
}
export function poseidonHashMany(values, fn = poseidonSmall) {
const { m, rate } = fn;
if (!Array.isArray(values)) throw new Error('bigint array expected in values');
const padded = Array.from(values); // copy
padded.push(1n);
while (padded.length % rate !== 0) padded.push(0n);
let state = new Array(m).fill(0n);
for (let i = 0; i < padded.length; i += rate) {
for (let j = 0; j < rate; j++) state[j] += padded[i + j];
state = fn(state);
}
return state[0];
}

View File

@@ -11,7 +11,6 @@ import { secp521r1 } from '../esm/p521.js';
import { secp256k1 } from '../esm/secp256k1.js';
import { ed25519, ed25519ctx, ed25519ph, x25519 } from '../esm/ed25519.js';
import { ed448, ed448ph } from '../esm/ed448.js';
import { _starkCurve as starkCurve } from '../esm/stark.js';
import { pallas, vesta } from '../esm/pasta.js';
import { bn254 } from '../esm/bn.js';
import { jubjub } from '../esm/jubjub.js';
@@ -24,7 +23,6 @@ const FIELDS = {
secp256r1: { Fp: [secp256r1.CURVE.Fp] },
secp521r1: { Fp: [secp521r1.CURVE.Fp] },
secp256k1: { Fp: [secp256k1.CURVE.Fp] },
stark: { Fp: [starkCurve.CURVE.Fp] },
jubjub: { Fp: [jubjub.CURVE.Fp] },
ed25519: { Fp: [ed25519.CURVE.Fp] },
ed448: { Fp: [ed448.CURVE.Fp] },
@@ -314,7 +312,6 @@ const CURVES = {
secp256k1,
ed25519, ed25519ctx, ed25519ph,
ed448, ed448ph,
starkCurve,
pallas, vesta,
bn254,
jubjub,

View File

@@ -2,7 +2,7 @@ import { sha512 } from '@noble/hashes/sha512';
import { hexToBytes, bytesToHex, randomBytes } from '@noble/hashes/utils';
import { deepStrictEqual, strictEqual, throws } from 'assert';
import { describe, should } from 'micro-should';
import { numberToBytesLE } from '../esm/abstract/utils.js';
import { bytesToNumberLE, numberToBytesLE } from '../esm/abstract/utils.js';
import { default as x25519vectors } from './wycheproof/x25519_test.json' assert { type: 'json' };
import { ed25519ctx, ed25519ph, RistrettoPoint, x25519 } from '../esm/ed25519.js';
@@ -281,10 +281,23 @@ describe('ristretto255', () => {
deepStrictEqual(point.toHex(), encodedHashToPoints[i]);
}
});
should('have proper equality testing', () => {
const MAX_255B = BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff');
const bytes255ToNumberLE = (bytes) =>
ed25519ctx.CURVE.Fp.create(bytesToNumberLE(bytes) & MAX_255B);
const priv = new Uint8Array([
198, 101, 65, 165, 93, 120, 37, 238, 16, 133, 10, 35, 253, 243, 161, 246, 229, 135, 12, 137,
202, 114, 222, 139, 146, 123, 4, 125, 152, 173, 1, 7,
]);
const pub = RistrettoPoint.BASE.multiply(bytes255ToNumberLE(priv));
deepStrictEqual(pub.equals(RistrettoPoint.ZERO), false);
});
});
// ESM is broken.
import url from 'url';
import { assert } from 'console';
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
should.run();
}

View File

@@ -7,7 +7,6 @@ import './ed448.test.js';
import './ed25519.test.js';
import './secp256k1.test.js';
import './secp256k1-schnorr.test.js';
import './stark/index.test.js';
import './jubjub.test.js';
import './bls12-381.test.js';
import './hash-to-curve.test.js';

View File

@@ -1,7 +1,7 @@
import { deepStrictEqual, throws } from 'assert';
import { should, describe } from 'micro-should';
import * as poseidon from '../esm/abstract/poseidon.js';
import * as stark from '../esm/stark.js';
import * as stark from './_poseidon.helpers.js';
import * as mod from '../esm/abstract/modular.js';
import { default as pvectors } from './vectors/poseidon.json' assert { type: 'json' };
const { st1, st2, st3, st4 } = pvectors;

View File

@@ -1,201 +0,0 @@
import { deepStrictEqual, throws } from 'assert';
import { describe, should } from 'micro-should';
import * as starknet from '../../esm/stark.js';
import { default as issue2 } from './fixtures/issue2.json' assert { type: 'json' };
import * as bip32 from '@scure/bip32';
import * as bip39 from '@scure/bip39';
describe('starknet basic', () => {
should('Basic elliptic sanity check', () => {
const g1 = starknet.ProjectivePoint.BASE;
deepStrictEqual(
g1.toAffine().x.toString(16),
'1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca'
);
deepStrictEqual(
g1.toAffine().y.toString(16),
'5668060aa49730b7be4801df46ec62de53ecd11abe43a32873000c36e8dc1f'
);
const g2 = g1.double();
deepStrictEqual(
g2.toAffine().x.toString(16),
'759ca09377679ecd535a81e83039658bf40959283187c654c5416f439403cf5'
);
deepStrictEqual(
g2.toAffine().y.toString(16),
'6f524a3400e7708d5c01a28598ad272e7455aa88778b19f93b562d7a9646c41'
);
const g3 = g2.add(g1);
deepStrictEqual(
g3.toAffine().x.toString(16),
'411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20'
);
deepStrictEqual(
g3.toAffine().y.toString(16),
'7e1b3ebac08924d2c26f409549191fcf94f3bf6f301ed3553e22dfb802f0686'
);
const g32 = g1.multiply(3n);
deepStrictEqual(
g32.toAffine().x.toString(16),
'411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20'
);
deepStrictEqual(
g32.toAffine().y.toString(16),
'7e1b3ebac08924d2c26f409549191fcf94f3bf6f301ed3553e22dfb802f0686'
);
const minus1 = g1.multiply(starknet.CURVE.n - 1n);
deepStrictEqual(
minus1.toAffine().x.toString(16),
'1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca'
);
deepStrictEqual(
minus1.toAffine().y.toString(16),
'7a997f9f55b68e04841b7fe20b9139d21ac132ee541bc5cd78cfff3c91723e2'
);
});
should('Pedersen', () => {
deepStrictEqual(
starknet.pedersen(2, 3),
'0x5774fa77b3d843ae9167abd61cf80365a9b2b02218fc2f628494b5bdc9b33b8'
);
deepStrictEqual(
starknet.pedersen(1, 2),
'0x5bb9440e27889a364bcb678b1f679ecd1347acdedcbf36e83494f857cc58026'
);
deepStrictEqual(
starknet.pedersen(3, 4),
'0x262697b88544f733e5c6907c3e1763131e9f14c51ee7951258abbfb29415fbf'
);
});
should('Hash chain', () => {
deepStrictEqual(
starknet.hashChain([1, 2, 3]),
'0x5d9d62d4040b977c3f8d2389d494e4e89a96a8b45c44b1368f1cc6ec5418915'
);
});
should('Pedersen hash edgecases', () => {
// >>> pedersen_hash(0,0)
const zero = '0x49ee3eba8c1600700ee1b87eb599f16716b0b1022947733551fde4050ca6804';
deepStrictEqual(starknet.pedersen(0, 0), zero);
deepStrictEqual(starknet.pedersen(0n, 0n), zero);
deepStrictEqual(starknet.pedersen('0', '0'), zero);
deepStrictEqual(starknet.pedersen('0x0', '0x0'), zero);
// >>> pedersen_hash(3618502788666131213697322783095070105623107215331596699973092056135872020475,3618502788666131213697322783095070105623107215331596699973092056135872020475)
// 3226051580231087455100099637526672350308978851161639703631919449959447036451
const big = 3618502788666131213697322783095070105623107215331596699973092056135872020475n;
const bigExp = '0x721e167a36655994e88efa865e2ed8a0488d36db4d988fec043cda755728223';
deepStrictEqual(starknet.pedersen(big, big), bigExp);
// >= FIELD
const big2 = 36185027886661312136973227830950701056231072153315966999730920561358720204751n;
throws(() => starknet.pedersen(big2, big2), 'big2');
// FIELD -1
const big3 = 3618502788666131213697322783095070105623107215331596699973092056135872020480n;
const big3exp = '0x7258fccaf3371fad51b117471d9d888a1786c5694c3e6099160477b593a576e';
deepStrictEqual(starknet.pedersen(big3, big3), big3exp, 'big3');
// FIELD
const big4 = 3618502788666131213697322783095070105623107215331596699973092056135872020481n;
throws(() => starknet.pedersen(big4, big4), 'big4');
throws(() => starknet.pedersen(-1, -1), 'neg');
throws(() => starknet.pedersen(false, false), 'false');
throws(() => starknet.pedersen(true, true), 'true');
throws(() => starknet.pedersen(10.1, 10.1), 'float');
});
should('hashChain edgecases', () => {
deepStrictEqual(starknet.hashChain([32312321312321312312312321n]), '0x1aba6672c014b4838cc201');
deepStrictEqual(
starknet.hashChain([1n, 2n]),
'0x5bb9440e27889a364bcb678b1f679ecd1347acdedcbf36e83494f857cc58026'
);
deepStrictEqual(
starknet.hashChain([1, 2]),
'0x5bb9440e27889a364bcb678b1f679ecd1347acdedcbf36e83494f857cc58026'
);
throws(() => starknet.hashChain([]));
throws(() => starknet.hashChain('123'));
deepStrictEqual(
starknet.hashChain([1, 2]),
'0x5bb9440e27889a364bcb678b1f679ecd1347acdedcbf36e83494f857cc58026'
);
});
should('Pedersen hash, issue #2', () => {
// Verified with starnet.js
deepStrictEqual(
starknet.computeHashOnElements(issue2),
'0x22064462ea33a6ce5272a295e0f551c5da3834f80d8444e7a4df68190b1bc42'
);
deepStrictEqual(
starknet.computeHashOnElements([]),
'0x49ee3eba8c1600700ee1b87eb599f16716b0b1022947733551fde4050ca6804'
);
deepStrictEqual(
starknet.computeHashOnElements([1]),
'0x78d74f61aeaa8286418fd34b3a12a610445eba11d00ecc82ecac2542d55f7a4'
);
});
should('Seed derivation (example)', () => {
const layer = 'starkex';
const application = 'starkdeployement';
const mnemonic =
'range mountain blast problem vibrant void vivid doctor cluster enough melody ' +
'salt layer language laptop boat major space monkey unit glimpse pause change vibrant';
const ethAddress = '0xa4864d977b944315389d1765ffa7e66F74ee8cd7';
const hdKey = bip32.HDKey.fromMasterSeed(bip39.mnemonicToSeedSync(mnemonic)).derive(
starknet.getAccountPath(layer, application, ethAddress, 0)
);
deepStrictEqual(
starknet.grindKey(hdKey.privateKey),
'6cf0a8bf113352eb863157a45c5e5567abb34f8d32cddafd2c22aa803f4892c'
);
});
should('Compressed keys', () => {
const G = starknet.ProjectivePoint.BASE;
const half = starknet.CURVE.n / 2n;
const last = starknet.CURVE.n;
const vectors = [
1n,
2n,
3n,
4n,
5n,
half - 5n,
half - 4n,
half - 3n,
half - 2n,
half - 1n,
half,
half + 1n,
half + 2n,
half + 3n,
half + 4n,
half + 5n,
last - 5n,
last - 4n,
last - 3n,
last - 2n,
last - 1n,
].map((i) => G.multiply(i));
const fixPoint = (pt) => pt.toAffine();
for (const v of vectors) {
const uncompressed = v.toHex();
const compressed = v.toHex(true);
const exp = fixPoint(v);
deepStrictEqual(fixPoint(starknet.ProjectivePoint.fromHex(uncompressed)), exp);
deepStrictEqual(fixPoint(starknet.ProjectivePoint.fromHex(compressed)), exp);
deepStrictEqual(starknet.ProjectivePoint.fromHex(compressed).toHex(), uncompressed);
}
});
});
// ESM is broken.
import url from 'url';
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
should.run();
}

View File

@@ -1,57 +0,0 @@
import * as microStark from '../../../esm/stark.js';
import * as starkwareCrypto from '@starkware-industries/starkware-crypto-utils';
import * as bench from 'micro-bmark';
const { run, mark } = bench; // or bench.mark
const privateKey = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
const msgHash = 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47';
const keyPair = starkwareCrypto.default.ec.keyFromPrivate(privateKey, 'hex');
const publicKeyStark = starkwareCrypto.default.ec.keyFromPublic(
keyPair.getPublic(true, 'hex'),
'hex'
);
const publicKeyMicro = microStark.getPublicKey(privateKey);
const FNS = {
pedersenHash: {
samples: 250,
starkware: () =>
starkwareCrypto.default.pedersen([
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a',
]),
'micro-starknet': () =>
microStark.pedersen(
'3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
'208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a'
),
},
signVerify: {
samples: 500,
starkware: () =>
starkwareCrypto.default.verify(
publicKeyStark,
msgHash,
starkwareCrypto.default.sign(keyPair, msgHash)
),
'micro-starknet': () =>
microStark.verify(microStark.sign(msgHash, privateKey), msgHash, publicKeyMicro),
},
};
const main = () =>
run(async () => {
for (let [k, libs] of Object.entries(FNS)) {
console.log(`==== ${k} ====`);
for (const [lib, fn] of Object.entries(libs)) {
if (lib === 'samples') continue;
let title = `${k} (${lib})`;
await mark(title, libs.samples, () => fn());
}
console.log();
}
// Log current RAM
bench.logMem();
});
main();

View File

@@ -1,19 +0,0 @@
{
"name": "benchmark",
"private": true,
"version": "0.1.0",
"description": "benchmarks",
"main": "index.js",
"type": "module",
"scripts": {
"bench": "node index.js"
},
"keywords": [],
"author": "",
"license": "MIT",
"devDependencies": {
"@starkware-industries/starkware-crypto-utils": "^0.0.2",
"micro-bmark": "0.2.0",
"micro-should": "0.2.0"
}
}

File diff suppressed because it is too large Load Diff

View File

@@ -1,32 +0,0 @@
{
"0x1": "0x1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca",
"0x2": "0x759ca09377679ecd535a81e83039658bf40959283187c654c5416f439403cf5",
"0x3": "0x411494b501a98abd8262b0da1351e17899a0c4ef23dd2f96fec5ba847310b20",
"0x4": "0xa7da05a4d664859ccd6e567b935cdfbfe3018c7771cb980892ef38878ae9bc",
"0x5": "0x788435d61046d3eec54d77d25bd194525f4fa26ebe6575536bc6f656656b74c",
"0x6": "0x1efc3d7c9649900fcbd03f578a8248d095bc4b6a13b3c25f9886ef971ff96fa",
"0x7": "0x743829e0a179f8afe223fc8112dfc8d024ab6b235fd42283c4f5970259ce7b7",
"0x8": "0x6eeee2b0c71d681692559735e08a2c3ba04e7347c0c18d4d49b83bb89771591",
"0x9": "0x216b4f076ff47e03a05032d1c6ee17933d8de8b2b4c43eb5ad5a7e1b25d3849",
"0x800000000000000000000000000000000000000000000000000000000000000": "0x5c79074e7f7b834c12c81a9bb0d46691a5e7517767a849d9d98cb84e2176ed2",
"0x800000000000000000000000000000000000000000000000000000000000001": "0x1c4f24e3bd16db0e2457bc005a9d61965105a535554c6b338871e34cb8e2d3a",
"0x800000000000000000000000000000000000000000000000000000000000002": "0xdfbb89b39288a9ddacf3942b4481b04d4fa2f8ed3c424757981cc6357f27ac",
"0x800000000000000000000000000000000000000000000000000000000000003": "0x41bef28265fd750b102f4f2d1e0231de7f4a33900a214f191a63d4fec4e72f4",
"0x800000000000000000000000000000000000000000000000000000000000004": "0x24de66eb164797d4b414e81ded0cfa1a592ef0a9363ebbcb440d4d03cb18af1",
"0x800000000000000000000000000000000000000000000000000000000000005": "0x5efb18c3bc9b69003746acc85fb6ee0cfbdc6adfb982f089cc63e1e5495daad",
"0x800000000000000000000000000000000000000000000000000000000000006": "0x10dc71f00918a8ebfe4085c834d41dd22b251b9f81eef8b9a4fab77e7e1afe9",
"0x800000000000000000000000000000000000000000000000000000000000007": "0x4267ebfd379b1c8caae73febc5920b0c95bd6f9f3536f47c5ddad1259c332ff",
"0x800000000000000000000000000000000000000000000000000000000000008": "0x6da515118c8e01fd5b2e96b814ee95bad7d60be4d2ba6b47e0d283f579d9671",
"0x800000000000000000000000000000000000000000000000000000000000009": "0x7a5b4797f4e56ed1473876bc2693fbe3f2fef7e050717cbae924ff23d426052",
"0x2e9c99d8382fa004dcbbee720aef8a97002de0e991f6a8344e6dc636a71b59e": "0x1ff6803ae740e7e596504ac5c6afbea472e53679361e214f12be0155b13e25d",
"0x8620458785138df8722214e073a91b8f55076ea78197cf41007692dd27fd90": "0x5967da40b90d7ca1e36dc4024381d7d4b403c6ac1a0ab358b0743984934a805",
"0x1b920e7dfb49ba5ada673882af5342e7448d3e9335e0ac37feb6280cd7289ce": "0x78c7ab46333968fbde3201cf512c1eeb5529360259072c459a158dee4449b57",
"0x704170dbfd5dc63caef69d2ce6dfc2b2dbb2af6e75851242bbe79fb6e62a118": "0x534bd8d6ebe4bb2f6992e2d7c19ef3146247e10c2849f357e44eddd283b2af6",
"0x4b58bf4228f39550eca59b5c96a0cb606036cc9495eef9a546f24f01b1b7829": "0x1097a8c5a46d94596f1c8e70ca66941f2bb11e3c8d4fd58fdc4589f09965be8",
"0x2e93226c90fb7a2381a24e940a94b98433e3553dcbf745d3f54d62963c75604": "0x369f0e8c8e984f244290267393a004dba435a4df091767ad5063fece7b1884c",
"0x4615f94598cd756ad1a551d7e57fd725916adfd0054eb773ceb482eef87d0b2": "0x1ee5b8d612102a2408cde59ce52a6498d2e38fe8789bb26d400dea310684ec9",
"0x6ade54b7debd7ca1d4e8e932f9545f8fa4024d73be1efcc86df86367fc333f8": "0x37de3bf52412b2fb9b0030d232ca9dd921cd8f71fd67975cdc62546826e121",
"0x618e7467dd24c2a3449c4df640439c12cdd0f8ea779afcee6e252b2cf494354": "0x71c2b578c432f2d305d3808bb645ecc46dd670cb43d4f4a076f75ccbff74fbc",
"0x7eae185e1f41ec76d214d763f0592f194933622a9dd5f3d52d0209f71619c1a": "0x2b0160052e70176e5b0ff2a6eff90896ae07b732fc27219e36e077735abd57e",
"0x178047D3869489C055D7EA54C014FFB834A069C9595186ABE04EA4D1223A03F": "0x1895a6a77ae14e7987b9cb51329a5adfb17bd8e7c638f92d6892d76e51cebcf"
}

View File

@@ -1,57 +0,0 @@
{
"private_key": "0x3c1e9550e66958296d11b60f8e8e7a7ad990d07fa65d5f7652c4a6c87d4e3cc",
"messages": [
{
"hash": "0x1",
"r": "3162358736122783857144396205516927012128897537504463716197279730251407200037",
"s": "1447067116407676619871126378936374427636662490882969509559888874644844560850"
},
{
"hash": "0x11",
"r": "2282960348362869237018441985726545922711140064809058182483721438101695251648",
"s": "2905868291002627709651322791912000820756370440695830310841564989426104902684"
},
{
"hash": "0x223",
"r": "2851492577225522862152785068304516872062840835882746625971400995051610132955",
"s": "2227464623243182122770469099770977514100002325017609907274766387592987135410"
},
{
"hash": "0x9999",
"r": "3551214266795401081823453828727326248401688527835302880992409448142527576296",
"s": "2580950807716503852408066180369610390914312729170066679103651110985466032285"
},
{
"hash": "0x387e76d1667c4454bfb835144120583af836f8e32a516765497d23eabe16b3f",
"r": "3518448914047769356425227827389998721396724764083236823647519654917215164512",
"s": "3042321032945513635364267149196358883053166552342928199041742035443537684462"
},
{
"hash": "0x3a7e76d1697c4455bfb835144120283af236f8e32a516765497d23eabe16b2",
"r": "2261926635950780594216378185339927576862772034098248230433352748057295357217",
"s": "2708700003762962638306717009307430364534544393269844487939098184375356178572"
},
{
"hash": "0xfa5f0cd1ebff93c9e6474379a213ba111f9e42f2f1cb361b0327e0737203",
"r": "3016953906936760149710218073693613509330129567629289734816320774638425763370",
"s": "306146275372136078470081798635201810092238376869367156373203048583896337506"
},
{
"hash": "0x4c1e9550e66958296d11b60f8e8e7f7ae99dd0cfa6bd5fa652c1a6c87d4e2cc",
"r": "3562728603055564208884290243634917206833465920158600288670177317979301056463",
"s": "1958799632261808501999574190111106370256896588537275453140683641951899459876"
},
{
"hash": "0x6362b40c218fb4c8a8bd42ca482145e8513b78e00faa0de76a98ba14fc37ae8",
"r": "3485557127492692423490706790022678621438670833185864153640824729109010175518",
"s": "897592218067946175671768586886915961592526001156186496738437723857225288280"
}
]
}

View File

@@ -1,11 +0,0 @@
import { describe, should } from 'micro-should';
import './basic.test.js';
import './stark.test.js';
import './property.test.js';
import './poseidon.test.js';
// ESM is broken.
import url from 'url';
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
should.run();
}

View File

@@ -1,114 +0,0 @@
import { deepStrictEqual, throws } from 'assert';
import { describe, should } from 'micro-should';
import * as starknet from '../../esm/stark.js';
import * as fs from 'fs';
function parseTest(path) {
let data = fs.readFileSync(path, 'ascii');
// Remove whitespaces
data = data.replace(/[ |\t]/g, '');
const pattern =
'Rate=(\\d+)\n' +
'Capacity=(\\d+)\n' +
'FullRounds=(\\d+)\n' +
'PartialRounds=(\\d+)\n' +
'MDS=\\[(.+)\\]\n' +
'RoundKeys=\\(?\n?\\[\n?(.+)\n?\\]\n?\\)?';
const r = data.match(new RegExp(pattern, 'ms'));
function parseArray(s) {
// Remove new lines
s = s.replace(/\n/gms, '');
return s.match(/(\[.+?\])/g).map((i) =>
i
.replace(/^\[(.+)\]$/, '$1')
.split(',')
.filter((i) => !!i)
);
}
const res = {
rate: +r[1],
capacity: +r[2],
roundsFull: +r[3],
roundsPartial: +r[4],
MDS: parseArray(r[5]).map((i) => i.map((j) => BigInt(j))),
roundConstants: parseArray(r[6]).map((i) => i.map((j) => BigInt(j))),
};
return res;
}
function mapPoseidon(parsed) {
return starknet.poseidonBasic(
{
Fp: starknet.Fp251,
rate: parsed.rate,
capacity: parsed.capacity,
roundsFull: parsed.roundsFull,
roundsPartial: parsed.roundsPartial,
},
parsed.MDS
);
}
const parsed = {
poseidon3: parseTest('./test/stark/poseidon/poseidon3.txt'),
poseidon4: parseTest('./test/stark/poseidon/poseidon4.txt'),
poseidon5: parseTest('./test/stark/poseidon/poseidon5.txt'),
poseidon9: parseTest('./test/stark/poseidon/poseidon9.txt'),
};
function poseidonTest(name, parsed) {
should(`${name}`, () => {
const fn = mapPoseidon(parsed);
deepStrictEqual(fn.roundConstants, parsed.roundConstants);
});
}
describe('poseidon txt vectors', () => {
poseidonTest('poseidon3', parsed.poseidon3);
poseidonTest('poseidon4', parsed.poseidon4);
poseidonTest('poseidon5', parsed.poseidon5);
poseidonTest('poseidon9', parsed.poseidon9);
});
should('Poseidon examples', () => {
const p3 = mapPoseidon(parsed.poseidon3);
deepStrictEqual(p3([0n, 0n, 0n]), [
3446325744004048536138401612021367625846492093718951375866996507163446763827n,
1590252087433376791875644726012779423683501236913937337746052470473806035332n,
867921192302518434283879514999422690776342565400001269945778456016268852423n,
]);
const p4 = mapPoseidon(parsed.poseidon4);
deepStrictEqual(p4([0n, 0n, 0n, 0n]), [
535071095200566880914603862188010633478042591441142518549720701573192347548n,
3567335813488551850156302853280844225974867890860330236555401145692518003968n,
229995103310401763929738317978722680640995513996113588430855556460153357543n,
3513983790849716360905369754287999509206472929684378838050290392634812839312n,
]);
const p5 = mapPoseidon(parsed.poseidon5);
deepStrictEqual(p5([0n, 0n, 0n, 0n, 0n]), [
2337689130971531876049206831496963607805116499042700598724344149414565980684n,
3230969295497815870174763682436655274044379544854667759151474216427142025631n,
3297330512217530111610698859408044542971696143761201570393504997742535648562n,
2585480844700786541432072704002477919020588246983274666988914431019064343941n,
3595308260654382824623573767385493361624474708214823462901432822513585995028n,
]);
const p9 = mapPoseidon(parsed.poseidon9);
deepStrictEqual(p9([0n, 0n, 0n, 0n, 0n, 0n, 0n, 0n, 0n]), [
1534116856660032929112709488204491699743182428465681149262739677337223235050n,
1710856073207389764546990138116985223517553616229641666885337928044617114700n,
3165864635055638516987240200217592641540231237468651257819894959934472989427n,
1003007637710164252047715558598366312649052908276423203724288341354608811559n,
68117303579957054409211824649914588822081700129416361923518488718489651489n,
1123395637839379807713801282868237406546107732595903195840754789810160564711n,
478590974834311070537087181212389392308746075734019180430422247431982932503n,
835322726024358888065061514739954009068852229059154336727219387089732433787n,
3129703030204995742174502162918848446737407262178341733578946634564864233056n,
]);
});
// ESM is broken.
import url from 'url';
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
should.run();
}

View File

@@ -1,201 +0,0 @@
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View File

@@ -1,35 +0,0 @@
# StarkWare's Poseidon Hash
[Poseidon](https://www.poseidon-hash.info/) is a family of hash functions designed for being very efficient as algebraic circuits.
As such, they may be very useful in ZK proving systems such as STARKs and others.
This repository provides the official parameters of StarkWare's Poseidon hash implementations.
All the instances are over the prime field:
p = 2^251 + 17 * 2^192 + 1 = 3618502788666131213697322783095070105623107215331596699973092056135872020481
A few examples hash results with the different parameters:
```
Poseidon3([0,0,0]) = [3446325744004048536138401612021367625846492093718951375866996507163446763827,
1590252087433376791875644726012779423683501236913937337746052470473806035332,
867921192302518434283879514999422690776342565400001269945778456016268852423]
Poseidon4([0,0,0,0]) = [535071095200566880914603862188010633478042591441142518549720701573192347548,
3567335813488551850156302853280844225974867890860330236555401145692518003968,
229995103310401763929738317978722680640995513996113588430855556460153357543,
3513983790849716360905369754287999509206472929684378838050290392634812839312]
Poseidon5([0,0,0,0,0]) = [2337689130971531876049206831496963607805116499042700598724344149414565980684,
3230969295497815870174763682436655274044379544854667759151474216427142025631,
3297330512217530111610698859408044542971696143761201570393504997742535648562,
2585480844700786541432072704002477919020588246983274666988914431019064343941,
3595308260654382824623573767385493361624474708214823462901432822513585995028]
Poseidon9([0,0,0,0,0,0,0,0,0]) = [1534116856660032929112709488204491699743182428465681149262739677337223235050,
1710856073207389764546990138116985223517553616229641666885337928044617114700,
3165864635055638516987240200217592641540231237468651257819894959934472989427,
1003007637710164252047715558598366312649052908276423203724288341354608811559,
68117303579957054409211824649914588822081700129416361923518488718489651489,
1123395637839379807713801282868237406546107732595903195840754789810160564711,
478590974834311070537087181212389392308746075734019180430422247431982932503,
835322726024358888065061514739954009068852229059154336727219387089732433787,
3129703030204995742174502162918848446737407262178341733578946634564864233056]
```

View File

@@ -1,462 +0,0 @@
Rate = 2
Capacity = 1
FullRounds = 8
PartialRounds = 83
MDS = [[3, 1, 1], [1, -1, 1], [1, 1, -2]]
RoundKeys = [
[
2950795762459345168613727575620414179244544320470208355568817838579231751791,
1587446564224215276866294500450702039420286416111469274423465069420553242820,
1645965921169490687904413452218868659025437693527479459426157555728339600137,
],
[
2782373324549879794752287702905278018819686065818504085638398966973694145741,
3409172630025222641379726933524480516420204828329395644967085131392375707302,
2379053116496905638239090788901387719228422033660130943198035907032739387135,
],
[
2570819397480941104144008784293466051718826502582588529995520356691856497111,
3546220846133880637977653625763703334841539452343273304410918449202580719746,
2720682389492889709700489490056111332164748138023159726590726667539759963454,
],
[
1899653471897224903834726250400246354200311275092866725547887381599836519005,
2369443697923857319844855392163763375394720104106200469525915896159690979559,
2354174693689535854311272135513626412848402744119855553970180659094265527996,
],
[
2404084503073127963385083467393598147276436640877011103379112521338973185443,
950320777137731763811524327595514151340412860090489448295239456547370725376,
2121140748740143694053732746913428481442990369183417228688865837805149503386,
],
[
2372065044800422557577242066480215868569521938346032514014152523102053709709,
2618497439310693947058545060953893433487994458443568169824149550389484489896,
3518297267402065742048564133910509847197496119850246255805075095266319996916,
],
[
340529752683340505065238931581518232901634742162506851191464448040657139775,
1954876811294863748406056845662382214841467408616109501720437541211031966538,
813813157354633930267029888722341725864333883175521358739311868164460385261,
],
[
71901595776070443337150458310956362034911936706490730914901986556638720031,
2789761472166115462625363403490399263810962093264318361008954888847594113421,
2628791615374802560074754031104384456692791616314774034906110098358135152410,
],
[
3617032588734559635167557152518265808024917503198278888820567553943986939719,
2624012360209966117322788103333497793082705816015202046036057821340914061980,
149101987103211771991327927827692640556911620408176100290586418839323044234,
],
[
1039927963829140138166373450440320262590862908847727961488297105916489431045,
2213946951050724449162431068646025833746639391992751674082854766704900195669,
2792724903541814965769131737117981991997031078369482697195201969174353468597,
],
[
3212031629728871219804596347439383805499808476303618848198208101593976279441,
3343514080098703935339621028041191631325798327656683100151836206557453199613,
614054702436541219556958850933730254992710988573177298270089989048553060199,
],
[
148148081026449726283933484730968827750202042869875329032965774667206931170,
1158283532103191908366672518396366136968613180867652172211392033571980848414,
1032400527342371389481069504520755916075559110755235773196747439146396688513,
],
[
806900704622005851310078578853499250941978435851598088619290797134710613736,
462498083559902778091095573017508352472262817904991134671058825705968404510,
1003580119810278869589347418043095667699674425582646347949349245557449452503,
],
[
619074932220101074089137133998298830285661916867732916607601635248249357793,
2635090520059500019661864086615522409798872905401305311748231832709078452746,
978252636251682252755279071140187792306115352460774007308726210405257135181,
],
[
1766912167973123409669091967764158892111310474906691336473559256218048677083,
1663265127259512472182980890707014969235283233442916350121860684522654120381,
3532407621206959585000336211742670185380751515636605428496206887841428074250,
],
[
2507023127157093845256722098502856938353143387711652912931112668310034975446,
3321152907858462102434883844787153373036767230808678981306827073335525034593,
3039253036806065280643845548147711477270022154459620569428286684179698125661,
],
[
103480338868480851881924519768416587261556021758163719199282794248762465380,
2394049781357087698434751577708655768465803975478348134669006211289636928495,
2660531560345476340796109810821127229446538730404600368347902087220064379579,
],
[
3603166934034556203649050570865466556260359798872408576857928196141785055563,
1553799760191949768532188139643704561532896296986025007089826672890485412324,
2744284717053657689091306578463476341218866418732695211367062598446038965164,
],
[
320745764922149897598257794663594419839885234101078803811049904310835548856,
979382242100682161589753881721708883681034024104145498709287731138044566302,
1860426855810549882740147175136418997351054138609396651615467358416651354991,
],
[
336173081054369235994909356892506146234495707857220254489443629387613956145,
1632470326779699229772327605759783482411227247311431865655466227711078175883,
921958250077481394074960433988881176409497663777043304881055317463712938502,
],
[
3034358982193370602048539901033542101022185309652879937418114324899281842797,
25626282149517463867572353922222474817434101087272320606729439087234878607,
3002662261401575565838149305485737102400501329139562227180277188790091853682,
],
[
2939684373453383817196521641512509179310654199629514917426341354023324109367,
1076484609897998179434851570277297233169621096172424141759873688902355505136,
2575095284833160494841112025725243274091830284746697961080467506739203605049,
],
[
3565075264617591783581665711620369529657840830498005563542124551465195621851,
2197016502533303822395077038351174326125210255869204501838837289716363437993,
331415322883530754594261416546036195982886300052707474899691116664327869405,
],
[
1935011233711290003793244296594669823169522055520303479680359990463281661839,
3495901467168087413996941216661589517270845976538454329511167073314577412322,
954195417117133246453562983448451025087661597543338750600301835944144520375,
],
[
1271840477709992894995746871435810599280944810893784031132923384456797925777,
2565310762274337662754531859505158700827688964841878141121196528015826671847,
3365022288251637014588279139038152521653896670895105540140002607272936852513,
],
[
1660592021628965529963974299647026602622092163312666588591285654477111176051,
970104372286014048279296575474974982288801187216974504035759997141059513421,
2617024574317953753849168721871770134225690844968986289121504184985993971227,
],
[
999899815343607746071464113462778273556695659506865124478430189024755832262,
2228536129413411161615629030408828764980855956560026807518714080003644769896,
2701953891198001564547196795777701119629537795442025393867364730330476403227,
],
[
837078355588159388741598313782044128527494922918203556465116291436461597853,
2121749601840466143704862369657561429793951309962582099604848281796392359214,
771812260179247428733132708063116523892339056677915387749121983038690154755,
],
[
3317336423132806446086732225036532603224267214833263122557471741829060578219,
481570067997721834712647566896657604857788523050900222145547508314620762046,
242195042559343964206291740270858862066153636168162642380846129622127460192,
],
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View File

@@ -1,559 +0,0 @@
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View File

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671929312763821646360589403212798993954209530574443543917757335777610372144,
],
[
2513909805455654095962542944994577107405216428214873444765576238504714067396,
870121102846043786263357605823753628974859886859187558617096145653709171231,
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2063679741125384345396981490971605710211281905716315529671473143278849561151,
],
[
1433753212258929925682201698758056443128516570551146995210728194816988328337,
3334984763425011856632257855270507440816274246647423607159847074739331865077,
337911293622078184850923533628334646725451591671907148383867096651211846605,
559587005295238702015018022040357402231957131094636365177008701077975941644,
885963059604819264377490633589388189646118257469490919900554134369512794660,
],
[
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906933977754491302438795274167251538820934378773708095543613756654712689280,
],
[
2170116291766863179909957030577284618726490893598499117272497866180009722894,
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3091993939935137795359769774909373279950941171574748645375255810204590357753,
],
[
1283528386884634267663661033944552098742115012555712906773586466375284501324,
1581820717639229420476069802992937438655873471854930764425841549067913106065,
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48024691078494936445046366770271288984930221238071705874025261821606393528,
],
[
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368970178199930154322724953487299516224498421233447528815195701420122548537,
],
[
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1828549068951502746189364466794037234789986878381694857475972053743463890779,
],
[
488172495141237210878388657234137733008417573114482400652274985829148564248,
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3496095878293416917311185659829821476802828534554531050412634978086916288609,
],
[
3368478822390537245916137403277928093536087427951052230723275731232142463388,
3397410259276620127103231993277518800970669191016277541098821699302368873803,
2662600899665871010006649609856695263727220473364611552472965243032255906029,
2854831720595596992200155718152374313555878203864206470581502555480894633975,
2417859092561967752135741161218626374900182454089059862468108240576782064037,
],
[
1064506915903089299531724594973601253341866933071158266140674053459433520889,
243845138053687262800349059300355289745206315347524675450796070948867090098,
1952653154963756062322124110012629666160000286707762177032475477295929736283,
2760979128531476595658428672038276216079708408852493051222686009638650156041,
3341178930260137001230946104398194306290005446746057811731360203227371301716,
],
[
1033242545866274439991875444609632860132556714736615395036273942261573810479,
3567973410830779135148598005871071456943945697865168835204985462698751038238,
23014034649293369426970379738102323014738017168969687350330825050016457105,
1146720508452451012445869043641390200263192255569203352823376998708972325392,
2553707028642376593497768606567528232999203496079990242456254686325586089356,
],
[
269729857648436699208023125596593246149228245518586029792966091405383426269,
276912682886955358118649215147238115764108757952690361549816619060658800027,
2367180947887796341722261610916728725977893583923967218630363334645641817362,
2398694802751362950028137620758033447242325333923222365760836442417755445092,
984868389243025029364428136317275892280780834039611841422502834917752411391,
],
[
861353329558771468244040268521983016756775808329676883407171471251365927595,
2498672969617384807617108262141800974986393948110233099680635130601163654234,
1336236634145657673540555267430353130305889434115514586892320600753700983325,
980337801407886250576371882962628290239239581416378379141354256717803603922,
2308558359523317875952657835109605515063994805873180719205156915762120497245,
],
[
2116737905426837141304542819940293184404010538896700217242374222514653607487,
2143995283326808680518644927890182524580312777400009071739277407358043120199,
3038758768133404431511594054950351369492648883179154555267474054094234927849,
981824005865625678985009911415023115269386212492064371040001594972137748141,
2427990511715778580869565219059895697855813782250850855111162965998948386792,
],
[
1987498156785173719076522405088076990979859292718600184358583152317049836167,
1633834915134208237423144264187482951766302060112099587851513525797020813799,
2895454976388515752029424688351979030650325184941524820409482023485820781526,
941019661238578826272324221721825852217063629464317974190162904813488515671,
2529926057929249454763690180607677568685011502604470585585763159431333258299,
],
[
2604831509257756199338105380847564711923112853239827243306562341166492672823,
2300475954087415591738767759767032267163723345312082546282694920273655145455,
1954000528502201000509342111010021527425422549437946241062907964768089317082,
1179936151696782249912570883839105595634344582873818018332922940963046083567,
3077707030301573630126144767923697288658782137457660869231140049571827937228,
],
[
1062324397142900251844488719868780667589966366756786302007970554437994421840,
353718609497993885193404630053532608155520921625518104461520254335222009911,
770557645309607171206012551080400276506165720184677119001983749356594531977,
3043628430985247363392058521341757139056029350680498644930013342982472853636,
1694968537785457252742656255724723357998402478572600479401200420305593921487,
],
[
539865665379093791531434211889371819368504193082947002067781562776138072582,
3473466148775696692731190426971123680342615414200262605154732883324298196699,
482783534456196983135936103604928650836406142744767857356485953118411089098,
2389101033971236780034779577432189630800997581132154923233144722790749715251,
845264223568475649981141803833883014312596504303895519674002924871878791033,
],
[
3027004059915270231142566724881373969831662022738947178800901294120992473905,
2169574859350740480088697859610203373582027214052754592019828328614087431593,
3515527080764222354309565181793838292349410992793070639041305826153436624160,
1817926918350512904327755405973355211358017834277255662858654992240629698587,
1999148133619270973098477176176178514394558202995832714883251820350860287223,
],
[
1203131300029280096510929599113528018338088236684405405384757591977164161039,
336815403657101171302040383579077521911288747438919304948637997306314852594,
986661060847815533035934253464295060766339947679669645818832311132001095573,
2291116974939980228917916563988261327966840303336559854772343651559589512651,
3421243089992476528970346847858594146122972226790673723411896208702859892637,
],
[
1015505198663386486420800821559060487156096175034250154764824837183581949724,
1165880582987807286271819576391581724550686829511475839624601920297855380101,
904232961143172831178860280790910264843503022179578981166030973682571903458,
261322216292849827900157598748641385787016033372999683866859675894253115357,
3060676319159217735181388708455879854358158161989877552543698103915296690395,
],
[
1175560144527845912984609340783959238735643215413930887771084560168082442967,
2813871258576082360085006002528268796351819524936446195552260262614692343332,
1841341101531851399935829271555098629075809587212843292354556374386667658235,
3076135575511709688509914361447080149794919016880133063891720256749999834767,
753111801049754117414662684453226478940731922961768343984187479992842213733,
],
[
1405657437118503342762241742745888533114216548278983907019917904938403345580,
3111186124713876864436867307979940633543281080828379725576742174555539054855,
3404463650394703220454952017098727360005393139199301323890695570346564876407,
2024087816190101179456573591359233695334184711688920998987373624570170649371,
2770035625774572095496575568588054654502991645588385802705097377675051032967,
],
[
437058215235292632621847481185406671372191763951486300610124033096831557414,
1345792773780982398809956395232061067669190682958320579442454533085407626029,
925357273912625669941681596445839316566672314870287993638671283923476231904,
3288133122086768300615066039539687885053110015077924175836976549020438910830,
666190075990703867784232802074474372379358766701681865975596503982238839889,
],
[
2664898601165892062970298960258838238925231697327906221693001926762280012052,
2075648691532387787722427044464731934171216054855867223374228487601569118337,
3173725544188532489243684991828985285646224157242834030308807120745121062293,
1517474443612606408422643323550409253700128234157734252330869178582583531320,
1593950878945144789965609248470060076911813704207225832606804796819386297511,
],
[
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2990187949585642302497822222637786229364740008175968941859105979392907839776,
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2702780364788282233075255946852944970202849869091427738791947810055591218061,
],
[
1825815734419326277729273926504439575157952821379179501821641713286627304656,
1481344458867016048625916723816339719872443766684158199301690902395849166360,
2014084774259125722186109781197998076881266739680534358898592778318128968629,
2612744185006548312909661512508122065214170543806989291921289897662387203493,
2486291022451231582267428921150634472835925206862678364689227838329114330247,
],
]

File diff suppressed because it is too large Load Diff

View File

@@ -1,53 +0,0 @@
import { deepStrictEqual, throws } from 'assert';
import { describe, should } from 'micro-should';
import * as starknet from '../../esm/stark.js';
import * as fc from 'fast-check';
const FC_BIGINT = fc.bigInt(1n + 1n, starknet.CURVE.n - 1n);
describe('starknet property', () => {
should('Point#toHex() roundtrip', () => {
fc.assert(
fc.property(FC_BIGINT, (x) => {
const point1 = starknet.ProjectivePoint.fromPrivateKey(x);
const hex = point1.toHex(true);
deepStrictEqual(starknet.ProjectivePoint.fromHex(hex).toHex(true), hex);
})
);
});
should('Signature.fromCompactHex() roundtrip', () => {
fc.assert(
fc.property(FC_BIGINT, FC_BIGINT, (r, s) => {
const sig = new starknet.Signature(r, s);
deepStrictEqual(starknet.Signature.fromCompact(sig.toCompactHex()), sig);
})
);
});
should('Signature.fromDERHex() roundtrip', () => {
fc.assert(
fc.property(FC_BIGINT, FC_BIGINT, (r, s) => {
const sig = new starknet.Signature(r, s);
deepStrictEqual(starknet.Signature.fromDER(sig.toDERHex()), sig);
})
);
});
should('verify()/should verify random signatures', () =>
fc.assert(
fc.property(FC_BIGINT, fc.hexaString({ minLength: 64, maxLength: 64 }), (privNum, msg) => {
const privKey = privNum.toString(16).padStart(64, '0');
const pub = starknet.getPublicKey(privKey);
const sig = starknet.sign(msg, privKey);
deepStrictEqual(starknet.verify(sig, msg, pub), true);
})
)
);
});
// ESM is broken.
import url from 'url';
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
should.run();
}

View File

@@ -1,288 +0,0 @@
import { deepStrictEqual, throws } from 'assert';
import { describe, should } from 'micro-should';
import { utf8ToBytes } from '@noble/hashes/utils';
import * as bip32 from '@scure/bip32';
import * as bip39 from '@scure/bip39';
import * as starknet from '../../esm/stark.js';
import { default as sigVec } from './fixtures/rfc6979_signature_test_vector.json' assert { type: 'json' };
import { default as precomputedKeys } from './fixtures/keys_precomputed.json' assert { type: 'json' };
describe('starknet', () => {
should('custom keccak', () => {
const value = starknet.keccak(utf8ToBytes('hello'));
deepStrictEqual(value, 0x8aff950685c2ed4bc3174f3472287b56d9517b9c948127319a09a7a36deac8n);
deepStrictEqual(value < 2n ** 250n, true);
});
should('RFC6979', () => {
for (const msg of sigVec.messages) {
const { r, s } = starknet.sign(msg.hash, sigVec.private_key);
// const { r, s } = starknet.Signature.fromDER(sig);
deepStrictEqual(r.toString(10), msg.r);
deepStrictEqual(s.toString(10), msg.s);
}
});
should('Signatures', () => {
const vectors = [
{
// Message hash of length 61.
msg: 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47',
r: '5f496f6f210b5810b2711c74c15c05244dad43d18ecbbdbe6ed55584bc3b0a2',
s: '4e8657b153787f741a67c0666bad6426c3741b478c8eaa3155196fc571416f3',
},
{
// Message hash of length 61, with leading zeros.
msg: '00c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47',
r: '5f496f6f210b5810b2711c74c15c05244dad43d18ecbbdbe6ed55584bc3b0a2',
s: '4e8657b153787f741a67c0666bad6426c3741b478c8eaa3155196fc571416f3',
},
{
// Message hash of length 62.
msg: 'c465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47a',
r: '233b88c4578f0807b4a7480c8076eca5cfefa29980dd8e2af3c46a253490e9c',
s: '28b055e825bc507349edfb944740a35c6f22d377443c34742c04e0d82278cf1',
},
{
// Message hash of length 63.
msg: '7465dd6b1bbffdb05442eb17f5ca38ad1aa78a6f56bf4415bdee219114a47a1',
r: 'b6bee8010f96a723f6de06b5fa06e820418712439c93850dd4e9bde43ddf',
s: '1a3d2bc954ed77e22986f507d68d18115fa543d1901f5b4620db98e2f6efd80',
},
];
const privateKey = '2dccce1da22003777062ee0870e9881b460a8b7eca276870f57c601f182136c';
const publicKey = starknet.getPublicKey(privateKey);
for (const v of vectors) {
const sig = starknet.sign(v.msg, privateKey);
const { r, s } = sig;
// const { r, s } = starknet.Signature.fromDER(sig);
deepStrictEqual(r.toString(16), v.r, 'r equality');
deepStrictEqual(s.toString(16), v.s, 's equality');
deepStrictEqual(starknet.verify(sig, v.msg, publicKey), true, 'verify');
}
});
should('Invalid signatures', () => {
/*
it('should not verify invalid signature inputs lengths', () => {
const ecOrder = starkwareCrypto.ec.n;
const {maxEcdsaVal} = starkwareCrypto;
const maxMsgHash = maxEcdsaVal.sub(oneBn);
const maxR = maxEcdsaVal.sub(oneBn);
const maxS = ecOrder.sub(oneBn).sub(oneBn);
const maxStarkKey = maxEcdsaVal.sub(oneBn);
// Test invalid message length.
expect(() =>
starkwareCrypto.verify(maxStarkKey, maxMsgHash.add(oneBn).toString(16), {
r: maxR,
s: maxS
})
).to.throw('Message not signable, invalid msgHash length.');
// Test invalid r length.
expect(() =>
starkwareCrypto.verify(maxStarkKey, maxMsgHash.toString(16), {
r: maxR.add(oneBn),
s: maxS
})
).to.throw('Message not signable, invalid r length.');
// Test invalid w length.
expect(() =>
starkwareCrypto.verify(maxStarkKey, maxMsgHash.toString(16), {
r: maxR,
s: maxS.add(oneBn)
})
).to.throw('Message not signable, invalid w length.');
// Test invalid s length.
expect(() =>
starkwareCrypto.verify(maxStarkKey, maxMsgHash.toString(16), {
r: maxR,
s: maxS.add(oneBn).add(oneBn)
})
).to.throw('Message not signable, invalid s length.');
});
it('should not verify invalid signatures', () => {
const privKey = generateRandomStarkPrivateKey();
const keyPair = starkwareCrypto.ec.keyFromPrivate(privKey, 'hex');
const keyPairPub = starkwareCrypto.ec.keyFromPublic(
keyPair.getPublic(),
'BN'
);
const msgHash = new BN(randomHexString(61));
const msgSignature = starkwareCrypto.sign(keyPair, msgHash);
// Test invalid public key.
const invalidKeyPairPub = starkwareCrypto.ec.keyFromPublic(
{x: keyPairPub.pub.getX().add(oneBn), y: keyPairPub.pub.getY()},
'BN'
);
expect(
starkwareCrypto.verify(
invalidKeyPairPub,
msgHash.toString(16),
msgSignature
)
).to.be.false;
// Test invalid message.
expect(
starkwareCrypto.verify(
keyPair,
msgHash.add(oneBn).toString(16),
msgSignature
)
).to.be.false;
expect(
starkwareCrypto.verify(
keyPairPub,
msgHash.add(oneBn).toString(16),
msgSignature
)
).to.be.false;
// Test invalid r.
msgSignature.r.iadd(oneBn);
expect(starkwareCrypto.verify(keyPair, msgHash.toString(16), msgSignature))
.to.be.false;
expect(
starkwareCrypto.verify(keyPairPub, msgHash.toString(16), msgSignature)
).to.be.false;
// Test invalid s.
msgSignature.r.isub(oneBn);
msgSignature.s.iadd(oneBn);
expect(starkwareCrypto.verify(keyPair, msgHash.toString(16), msgSignature))
.to.be.false;
expect(
starkwareCrypto.verify(keyPairPub, msgHash.toString(16), msgSignature)
).to.be.false;
});
});
*/
});
should('Pedersen', () => {
deepStrictEqual(
starknet.pedersen(
'0x3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
'0x208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a'
),
'0x30e480bed5fe53fa909cc0f8c4d99b8f9f2c016be4c41e13a4848797979c662'
);
deepStrictEqual(
starknet.pedersen(
'0x58f580910a6ca59b28927c08fe6c43e2e303ca384badc365795fc645d479d45',
'0x78734f65a067be9bdb39de18434d71e79f7b6466a4b66bbd979ab9e7515fe0b'
),
'0x68cc0b76cddd1dd4ed2301ada9b7c872b23875d5ff837b3a87993e0d9996b87'
);
});
should('Hash chain', () => {
deepStrictEqual(starknet.hashChain([1, 2, 3]), starknet.pedersen(1, starknet.pedersen(2, 3)));
});
should('Key grinding', () => {
deepStrictEqual(
starknet.grindKey('86F3E7293141F20A8BAFF320E8EE4ACCB9D4A4BF2B4D295E8CEE784DB46E0519'),
'5c8c8683596c732541a59e03007b2d30dbbbb873556fe65b5fb63c16688f941'
);
// Loops more than once (verified manually)
deepStrictEqual(
starknet.grindKey('94F3E7293141F20A8BAFF320E8EE4ACCB9D4A4BF2B4D295E8CEE784DB46E0595'),
'33880b9aba464c1c01c9f8f5b4fc1134698f9b0a8d18505cab6cdd34d93dc02'
);
});
should('Private to stark key', () => {
deepStrictEqual(
starknet.getStarkKey('0x178047D3869489C055D7EA54C014FFB834A069C9595186ABE04EA4D1223A03F'),
'0x1895a6a77ae14e7987b9cb51329a5adfb17bd8e7c638f92d6892d76e51cebcf'
);
for (const [privKey, expectedPubKey] of Object.entries(precomputedKeys)) {
deepStrictEqual(starknet.getStarkKey(privKey), expectedPubKey);
}
});
should('Private stark key from eth signature', () => {
const ethSignature =
'0x21fbf0696d5e0aa2ef41a2b4ffb623bcaf070461d61cf7251c74161f82fec3a43' +
'70854bc0a34b3ab487c1bc021cd318c734c51ae29374f2beb0e6f2dd49b4bf41c';
deepStrictEqual(
starknet.ethSigToPrivate(ethSignature),
'766f11e90cd7c7b43085b56da35c781f8c067ac0d578eabdceebc4886435bda'
);
});
should('Key derivation', () => {
const layer = 'starkex';
const application = 'starkdeployement';
const mnemonic =
'range mountain blast problem vibrant void vivid doctor cluster enough melody ' +
'salt layer language laptop boat major space monkey unit glimpse pause change vibrant';
const ethAddress = '0xa4864d977b944315389d1765ffa7e66F74ee8cd7';
const VECTORS = [
{
index: 0,
path: "m/2645'/579218131'/891216374'/1961790679'/2135936222'/0",
privateKey: '6cf0a8bf113352eb863157a45c5e5567abb34f8d32cddafd2c22aa803f4892c',
},
{
index: 7,
path: "m/2645'/579218131'/891216374'/1961790679'/2135936222'/7",
privateKey: '341751bdc42841da35ab74d13a1372c1f0250617e8a2ef96034d9f46e6847af',
},
{
index: 598,
path: "m/2645'/579218131'/891216374'/1961790679'/2135936222'/598",
privateKey: '41a4d591a868353d28b7947eb132aa4d00c4a022743689ffd20a3628d6ca28c',
},
];
const hd = bip32.HDKey.fromMasterSeed(bip39.mnemonicToSeedSync(mnemonic));
for (const { index, path, privateKey } of VECTORS) {
const realPath = starknet.getAccountPath(layer, application, ethAddress, index);
deepStrictEqual(realPath, path);
deepStrictEqual(starknet.grindKey(hd.derive(realPath).privateKey), privateKey);
}
});
// Verified against starknet.js
should('Starknet.js cross-tests', () => {
const privateKey = '0x019800ea6a9a73f94aee6a3d2edf018fc770443e90c7ba121e8303ec6b349279';
// NOTE: there is no compressed keys here, getPubKey returns stark-key (which is schnorr-like X coordinate)
// But it is not used in signing/verifying
deepStrictEqual(
starknet.getStarkKey(privateKey),
'0x33f45f07e1bd1a51b45fc24ec8c8c9908db9e42191be9e169bfcac0c0d99745'
);
const msgHash = '0x6d1706bd3d1ba7c517be2a2a335996f63d4738e2f182144d078a1dd9997062e';
const sig = starknet.sign(msgHash, privateKey);
const { r, s } = sig;
deepStrictEqual(
r.toString(),
'1427981024487605678086498726488552139932400435436186597196374630267616399345'
);
deepStrictEqual(
s.toString(),
'1853664302719670721837677288395394946745467311923401353018029119631574115563'
);
const hashMsg2 = starknet.pedersen(
'0x33f45f07e1bd1a51b45fc24ec8c8c9908db9e42191be9e169bfcac0c0d99745',
'1'
);
deepStrictEqual(hashMsg2, '0x2b0d4d43acce8ff68416f667f92ec7eab2b96f1d2224abd4d9d4d1e7fa4bb00');
const pubKey =
'04033f45f07e1bd1a51b45fc24ec8c8c9908db9e42191be9e169bfcac0c0d997450319d0f53f6ca077c4fa5207819144a2a4165daef6ee47a7c1d06c0dcaa3e456';
const sig2 = new starknet.Signature(
558858382392827003930138586379728730695763862039474863361948210004201119180n,
2440689354481625417078677634625227600823892606910345662891037256374285369343n
);
deepStrictEqual(starknet.verify(sig2.toDERHex(), hashMsg2, pubKey), true);
});
});
// ESM is broken.
import url from 'url';
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
should.run();
}

View File

@@ -17,4 +17,4 @@
"node_modules",
"lib",
],
}
}

View File

@@ -3,10 +3,10 @@
"strict": true,
"declaration": true,
"declarationMap": true,
"sourceMap": true,
"outDir": ".",
"target": "es2020",
"lib": ["es2020"], // Set explicitly to remove DOM
"sourceMap": true,
"module": "commonjs",
"moduleResolution": "node",
"noUnusedLocals": true,
@@ -17,4 +17,4 @@
"node_modules",
"*.d.ts"
],
}
}