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6
.vscode/settings.json
vendored
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6
.vscode/settings.json
vendored
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@@ -0,0 +1,6 @@
|
||||
{
|
||||
"files.exclude": {
|
||||
"*.{js,d.ts,js.map,d.ts.map}": true,
|
||||
"esm/*.{js,d.ts,js.map,d.ts.map}": true
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||||
}
|
||||
}
|
||||
429
README.md
429
README.md
@@ -2,27 +2,20 @@
|
||||
|
||||
Audited & minimal JS implementation of elliptic curve cryptography.
|
||||
|
||||
- **noble** family, zero dependencies
|
||||
- Short Weierstrass, Edwards, Montgomery curves
|
||||
- ECDSA, EdDSA, Schnorr, BLS signature schemes, ECDH key agreement
|
||||
- 🔒 [**Audited**](#security) by an independent security firm
|
||||
- #️⃣ [hash to curve](#abstracthash-to-curve-hashing-strings-to-curve-points)
|
||||
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
|
||||
- 🔻 Tree-shaking-friendly: there is no entry point, which ensures small size of your app
|
||||
- 🔍 Unique tests ensure correctness with Wycheproof vectors and
|
||||
[cryptofuzz](https://github.com/guidovranken/cryptofuzz) differential fuzzing
|
||||
- 🔻 Tree-shaking-friendly: use only what's necessary, other code won't be included
|
||||
|
||||
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:
|
||||
- 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
|
||||
- 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
|
||||
@@ -30,33 +23,50 @@ See [Resources](#resources) for articles and real-world software that uses curve
|
||||
> **noble-crypto** — high-security, easily auditable set of contained cryptographic libraries and tools.
|
||||
|
||||
- No dependencies, protection against supply chain attacks
|
||||
- Easily auditable TypeScript/JS code
|
||||
- Auditable TypeScript / JS code
|
||||
- Supported in all major browsers and stable node.js versions
|
||||
- All releases are signed with PGP keys
|
||||
- Check out [homepage](https://paulmillr.com/noble/) & all libraries:
|
||||
[curves](https://github.com/paulmillr/noble-curves)
|
||||
([secp256k1](https://github.com/paulmillr/noble-secp256k1),
|
||||
(4kb versions [secp256k1](https://github.com/paulmillr/noble-secp256k1),
|
||||
[ed25519](https://github.com/paulmillr/noble-ed25519)),
|
||||
[hashes](https://github.com/paulmillr/noble-hashes)
|
||||
|
||||
## 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.
|
||||
|
||||
Package consists of two parts:
|
||||
|
||||
1. [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
|
||||
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
|
||||
2. [Abstract](#abstract-api), zero-dependency EC algorithms
|
||||
|
||||
### Implementations
|
||||
|
||||
Each curve can be used in the following way:
|
||||
|
||||
```ts
|
||||
import { secp256k1 } from '@noble/curves/secp256k1'; // ECMAScript Modules (ESM)
|
||||
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 +144,27 @@ 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());
|
||||
```
|
||||
|
||||
Every curve has params:
|
||||
|
||||
```ts
|
||||
import { secp256k1 } from '@noble/curves/secp256k1'; // ESM and Common.js
|
||||
console.log(secp256k1.CURVE.p, secp256k1.CURVE.n, secp256k1.CURVE.a, secp256k1.CURVE.b);
|
||||
```
|
||||
|
||||
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 +201,13 @@ 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 +223,36 @@ There are following zero-dependency algorithms:
|
||||
|
||||
```ts
|
||||
import { weierstrass } from '@noble/curves/abstract/weierstrass';
|
||||
import { Field } 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: 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,
|
||||
});
|
||||
|
||||
// weierstrassPoints can also be used if you don't need ECDSA, hash, hmac, 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 +268,36 @@ 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
|
||||
// `weierstrassPoints()` returns `CURVE` and `ProjectivePoint`
|
||||
// `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 +323,8 @@ 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 +349,9 @@ 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.
|
||||
@@ -319,6 +369,7 @@ point.assertValidity(); // Checks for being on-curve
|
||||
point.toAffine(); // Converts to 2d affine xy coordinates
|
||||
|
||||
secq256k1.CURVE.n;
|
||||
secq256k1.CURVE.p;
|
||||
secq256k1.CURVE.Fp.mod();
|
||||
secq256k1.CURVE.hash();
|
||||
|
||||
@@ -327,33 +378,34 @@ 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 { Field } from '@noble/curves/abstract/modular';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { randomBytes } from '@noble/hashes/utils';
|
||||
|
||||
### abstract/edwards: Twisted Edwards curve
|
||||
const Fp = Field(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 +423,25 @@ 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;
|
||||
@@ -393,69 +464,16 @@ 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 { Field } from '@noble/curves/abstract/modular';
|
||||
|
||||
const x25519 = montgomery({
|
||||
Fp: Field(2n ** 255n - 19n),
|
||||
a: 486662n,
|
||||
Gu: 9n,
|
||||
Fp: Field(2n ** 255n - 19n),
|
||||
montgomeryBits: 255,
|
||||
nByteLength: 32,
|
||||
// Optional param
|
||||
@@ -468,6 +486,11 @@ 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).
|
||||
@@ -508,19 +531,37 @@ 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 +571,7 @@ 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 +582,7 @@ type PoseidonOpts = {
|
||||
roundsFull: number;
|
||||
roundsPartial: number;
|
||||
sboxPower?: number;
|
||||
reversePartialPowIdx?: boolean; // Hack for stark
|
||||
reversePartialPowIdx?: boolean;
|
||||
mds: bigint[][];
|
||||
roundConstants: bigint[][];
|
||||
};
|
||||
@@ -612,9 +653,11 @@ 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 +713,6 @@ 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
|
||||
@@ -709,12 +746,17 @@ hashToCurve
|
||||
└─ed448 x 1,045 ops/sec @ 956μs/op
|
||||
```
|
||||
|
||||
## Contributing & testing
|
||||
|
||||
1. Clone the repository
|
||||
2. `npm install` to install build dependencies like TypeScript
|
||||
3. `npm run build` to compile TypeScript code
|
||||
4. `npm run test` will execute all main tests
|
||||
|
||||
## Resources
|
||||
|
||||
Article about some of library's features: [Learning fast elliptic-curve cryptography](https://paulmillr.com/posts/noble-secp256k1-fast-ecc/)
|
||||
|
||||
Demo: Elliptic curve calculator [paulmillr.com/ecc](https://paulmillr.com/ecc).
|
||||
|
||||
Projects using the library:
|
||||
|
||||
- secp256k1
|
||||
@@ -725,44 +767,53 @@ Projects using the library:
|
||||
- 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/noble](https://paulmillr.com/noble)
|
||||
- [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:
|
||||
Previously, the library was split into single-feature packages
|
||||
noble-secp256k1 and noble-ed25519. curves can be thought as a continuation of their
|
||||
original work. The libraries now changed their direction towards providing
|
||||
minimal 4kb implementations of cryptography and are not as feature-complete.
|
||||
|
||||
- 2d affine (x, y) points have been removed to reduce complexity and improve speed
|
||||
- Removed `number` support as a type for private keys, `bigint` is still supported
|
||||
- `mod`, `invert` are no longer present in `utils`: use `@noble/curves/abstract/modular`
|
||||
Upgrading from [@noble/secp256k1](https://github.com/paulmillr/noble-secp256k1) 1.7:
|
||||
|
||||
Upgrading from @noble/secp256k1 1.7:
|
||||
- `getPublicKey`
|
||||
- now produce 33-byte compressed signatures by default
|
||||
- to use old behavior, which produced 65-byte uncompressed keys, set
|
||||
argument `isCompressed` to `false`: `getPublicKey(priv, false)`
|
||||
- `sign`
|
||||
- is now sync; use `signAsync` for async version
|
||||
- now returns `Signature` instance with `{ r, s, recovery }` properties
|
||||
- `canonical` option was renamed to `lowS`
|
||||
- `recovered` option has been removed because recovery bit is always returned now
|
||||
- `der` option has been removed. There are 2 options:
|
||||
1. Use compact encoding: `fromCompact`, `toCompactRawBytes`, `toCompactHex`.
|
||||
Compact encoding is simply a concatenation of 32-byte r and 32-byte s.
|
||||
2. If you must use DER encoding, switch to noble-curves (see above).
|
||||
- `verify`
|
||||
- `strict` option was renamed to `lowS`
|
||||
- `getSharedSecret`
|
||||
- now produce 33-byte compressed signatures by default
|
||||
- to use old behavior, which produced 65-byte uncompressed keys, set
|
||||
argument `isCompressed` to `false`: `getSharedSecret(a, b, false)`
|
||||
- `recoverPublicKey(msg, sig, rec)` was changed to `sig.recoverPublicKey(msg)`
|
||||
- `number` type for private keys have been removed: use `bigint` instead
|
||||
- `Point` (2d xy) has been changed to `ProjectivePoint` (3d xyz)
|
||||
- `utils` were split into `utils` (same api as in noble-curves) and
|
||||
`etc` (`hmacSha256Sync` and others)
|
||||
|
||||
- Compressed (33-byte) public keys are now returned by default, instead of uncompressed
|
||||
- Methods are now synchronous. Setting `secp.utils.hmacSha256` is no longer required
|
||||
- `sign()`
|
||||
- `der`, `recovered` options were removed
|
||||
- `canonical` was renamed to `lowS`
|
||||
- Return type is now `{ r: bigint, s: bigint, recovery: number }` instance of `Signature`
|
||||
- `verify()`
|
||||
- `strict` was renamed to `lowS`
|
||||
- `recoverPublicKey()`: moved to sig instance `Signature#recoverPublicKey(msgHash)`
|
||||
- `Point` was removed: use `ProjectivePoint` in xyz coordinates
|
||||
- `utils`: Many methods were removed, others were moved to `schnorr` namespace
|
||||
Upgrading from [@noble/ed25519](https://github.com/paulmillr/noble-ed25519) 1.7:
|
||||
|
||||
Upgrading from @noble/ed25519 1.7:
|
||||
|
||||
- Methods are now synchronous. Setting `secp.utils.hmacSha256` is no longer required
|
||||
- ed25519ph, ed25519ctx
|
||||
- `Point` was removed: use `ExtendedPoint` in xyzt coordinates
|
||||
- `Signature` was removed
|
||||
- `getSharedSecret` was removed: use separate x25519 sub-module
|
||||
- Methods are now sync by default
|
||||
- `bigint` is no longer allowed in `getPublicKey`, `sign`, `verify`. Reason: ed25519 is LE, can lead to bugs
|
||||
|
||||
## Contributing & testing
|
||||
|
||||
1. Clone the repository
|
||||
2. `npm install` to install build dependencies like TypeScript
|
||||
3. `npm run build` to compile TypeScript code
|
||||
4. `npm run test` will execute all main tests
|
||||
- `Point` (2d xy) has been changed to `ExtendedPoint` (xyzt)
|
||||
- `Signature` was removed: just use raw bytes or hex now
|
||||
- `utils` were split into `utils` (same api as in noble-curves) and
|
||||
`etc` (`sha512Sync` and others)
|
||||
- `getSharedSecret` was moved to `x25519` module
|
||||
|
||||
## License
|
||||
|
||||
|
||||
BIN
audit/2023-01-trailofbits-audit-curves.pdf
Normal file
BIN
audit/2023-01-trailofbits-audit-curves.pdf
Normal file
Binary file not shown.
11
audit/README.md
Normal file
11
audit/README.md
Normal 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).
|
||||
@@ -1,6 +1,6 @@
|
||||
import { run, mark } from 'micro-bmark';
|
||||
import { secp256k1 } from '../secp256k1.js';
|
||||
import { Fp } from '../abstract/modular.js';
|
||||
import { Field as Fp } from '../abstract/modular.js';
|
||||
|
||||
run(async () => {
|
||||
console.log(`\x1b[36mmodular, secp256k1 field\x1b[0m`);
|
||||
|
||||
@@ -16,7 +16,6 @@
|
||||
},
|
||||
"dependencies": {
|
||||
"@noble/hashes": "^1.1.5",
|
||||
"@starkware-industries/starkware-crypto-utils": "^0.0.2",
|
||||
"elliptic": "^6.5.4"
|
||||
}
|
||||
}
|
||||
|
||||
@@ -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();
|
||||
});
|
||||
@@ -2,6 +2,6 @@
|
||||
"type": "module",
|
||||
"browser": {
|
||||
"crypto": false,
|
||||
"./crypto": "./esm/cryptoBrowser.js"
|
||||
"./crypto": "./esm/crypto.js"
|
||||
}
|
||||
}
|
||||
|
||||
77
package-lock.json
generated
77
package-lock.json
generated
@@ -1,12 +1,12 @@
|
||||
{
|
||||
"name": "@noble/curves",
|
||||
"version": "0.8.0",
|
||||
"version": "0.9.1",
|
||||
"lockfileVersion": 3,
|
||||
"requires": true,
|
||||
"packages": {
|
||||
"": {
|
||||
"name": "@noble/curves",
|
||||
"version": "0.8.0",
|
||||
"version": "0.9.1",
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
@@ -15,35 +15,38 @@
|
||||
],
|
||||
"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",
|
||||
"@scure/bip32": "~1.2.0",
|
||||
"@scure/bip39": "~1.2.0",
|
||||
"@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==",
|
||||
"node_modules/@noble/curves": {
|
||||
"version": "0.8.3",
|
||||
"resolved": "https://registry.npmjs.org/@noble/curves/-/curves-0.8.3.tgz",
|
||||
"integrity": "sha512-OqaOf4RWDaCRuBKJLDURrgVxjLmneGsiCXGuzYB5y95YithZMA6w4uk34DHSm0rKMrrYiaeZj48/81EvaAScLQ==",
|
||||
"dev": true,
|
||||
"funding": [
|
||||
{
|
||||
"type": "individual",
|
||||
"url": "https://paulmillr.com/funding/"
|
||||
}
|
||||
]
|
||||
],
|
||||
"dependencies": {
|
||||
"@noble/hashes": "1.3.0"
|
||||
}
|
||||
},
|
||||
"node_modules/@noble/secp256k1": {
|
||||
"version": "1.7.1",
|
||||
"resolved": "https://registry.npmjs.org/@noble/secp256k1/-/secp256k1-1.7.1.tgz",
|
||||
"integrity": "sha512-hOUk6AyBFmqVrv7k5WAw/LpszxVbj9gGN4JRkIX52fdFAj1UA61KXmZDvqVEm+pOyec3+fIeZB02LYa/pWOArw==",
|
||||
"dev": true,
|
||||
"node_modules/@noble/hashes": {
|
||||
"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",
|
||||
@@ -64,9 +67,9 @@
|
||||
]
|
||||
},
|
||||
"node_modules/@scure/bip32": {
|
||||
"version": "1.1.5",
|
||||
"resolved": "https://registry.npmjs.org/@scure/bip32/-/bip32-1.1.5.tgz",
|
||||
"integrity": "sha512-XyNh1rB0SkEqd3tXcXMi+Xe1fvg+kUIcoRIEujP1Jgv7DqW2r9lg3Ah0NkFaCs9sTkQAQA8kw7xiRXzENi9Rtw==",
|
||||
"version": "1.2.0",
|
||||
"resolved": "https://registry.npmjs.org/@scure/bip32/-/bip32-1.2.0.tgz",
|
||||
"integrity": "sha512-O+vT/hBVk+ag2i6j2CDemwd1E1MtGt+7O1KzrPNsaNvSsiEK55MyPIxJIMI2PS8Ijj464B2VbQlpRoQXxw1uHg==",
|
||||
"dev": true,
|
||||
"funding": [
|
||||
{
|
||||
@@ -75,15 +78,15 @@
|
||||
}
|
||||
],
|
||||
"dependencies": {
|
||||
"@noble/hashes": "~1.2.0",
|
||||
"@noble/secp256k1": "~1.7.0",
|
||||
"@noble/curves": "~0.8.3",
|
||||
"@noble/hashes": "~1.3.0",
|
||||
"@scure/base": "~1.1.0"
|
||||
}
|
||||
},
|
||||
"node_modules/@scure/bip39": {
|
||||
"version": "1.1.1",
|
||||
"resolved": "https://registry.npmjs.org/@scure/bip39/-/bip39-1.1.1.tgz",
|
||||
"integrity": "sha512-t+wDck2rVkh65Hmv280fYdVdY25J9YeEUIgn2LG1WM6gxFkGzcksoDiUkWVpVp3Oex9xGC68JU2dSbUfwZ2jPg==",
|
||||
"version": "1.2.0",
|
||||
"resolved": "https://registry.npmjs.org/@scure/bip39/-/bip39-1.2.0.tgz",
|
||||
"integrity": "sha512-SX/uKq52cuxm4YFXWFaVByaSHJh2w3BnokVSeUJVCv6K7WulT9u2BuNRBhuFl8vAuYnzx9bEu9WgpcNYTrYieg==",
|
||||
"dev": true,
|
||||
"funding": [
|
||||
{
|
||||
@@ -92,14 +95,14 @@
|
||||
}
|
||||
],
|
||||
"dependencies": {
|
||||
"@noble/hashes": "~1.2.0",
|
||||
"@noble/hashes": "~1.3.0",
|
||||
"@scure/base": "~1.1.0"
|
||||
}
|
||||
},
|
||||
"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 +134,9 @@
|
||||
"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 +165,16 @@
|
||||
]
|
||||
},
|
||||
"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"
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
52
package.json
52
package.json
@@ -1,9 +1,10 @@
|
||||
{
|
||||
"name": "@noble/curves",
|
||||
"version": "0.8.0",
|
||||
"description": "Minimal, auditable JS implementation of elliptic curve cryptography",
|
||||
"version": "0.9.1",
|
||||
"description": "Audited & minimal JS implementation of elliptic curve cryptography",
|
||||
"files": [
|
||||
"abstract",
|
||||
"esm",
|
||||
"src",
|
||||
"*.js",
|
||||
"*.js.map",
|
||||
@@ -11,10 +12,10 @@
|
||||
"*.d.ts.map"
|
||||
],
|
||||
"scripts": {
|
||||
"bench": "cd benchmark; node secp256k1.js; node curves.js; node ecdh.js; node stark.js; node bls.js",
|
||||
"build": "tsc",
|
||||
"build:clean": "rm *.{js,d.ts,js.map} esm/*.{js,js.map} 2> /dev/null",
|
||||
"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"
|
||||
@@ -27,112 +28,129 @@
|
||||
},
|
||||
"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",
|
||||
"@scure/bip32": "~1.2.0",
|
||||
"@scure/bip39": "~1.2.0",
|
||||
"@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",
|
||||
"type": "module",
|
||||
"exports": {
|
||||
".": {
|
||||
"types": "./index.d.ts",
|
||||
"import": "./esm/index.js",
|
||||
"default": "./index.js"
|
||||
},
|
||||
"./abstract/edwards": {
|
||||
"types": "./abstract/edwards.d.ts",
|
||||
"import": "./esm/abstract/edwards.js",
|
||||
"default": "./abstract/edwards.js"
|
||||
},
|
||||
"./abstract/modular": {
|
||||
"types": "./abstract/modular.d.ts",
|
||||
"import": "./esm/abstract/modular.js",
|
||||
"default": "./abstract/modular.js"
|
||||
},
|
||||
"./abstract/montgomery": {
|
||||
"types": "./abstract/montgomery.d.ts",
|
||||
"import": "./esm/abstract/montgomery.js",
|
||||
"default": "./abstract/montgomery.js"
|
||||
},
|
||||
"./abstract/weierstrass": {
|
||||
"types": "./abstract/weierstrass.d.ts",
|
||||
"import": "./esm/abstract/weierstrass.js",
|
||||
"default": "./abstract/weierstrass.js"
|
||||
},
|
||||
"./abstract/bls": {
|
||||
"types": "./abstract/bls.d.ts",
|
||||
"import": "./esm/abstract/bls.js",
|
||||
"default": "./abstract/bls.js"
|
||||
},
|
||||
"./abstract/hash-to-curve": {
|
||||
"types": "./abstract/hash-to-curve.d.ts",
|
||||
"import": "./esm/abstract/hash-to-curve.js",
|
||||
"default": "./abstract/hash-to-curve.js"
|
||||
},
|
||||
"./abstract/curve": {
|
||||
"types": "./abstract/curve.d.ts",
|
||||
"import": "./esm/abstract/curve.js",
|
||||
"default": "./abstract/curve.js"
|
||||
},
|
||||
"./abstract/utils": {
|
||||
"types": "./abstract/utils.d.ts",
|
||||
"import": "./esm/abstract/utils.js",
|
||||
"default": "./abstract/utils.js"
|
||||
},
|
||||
"./abstract/poseidon": {
|
||||
"types": "./abstract/poseidon.d.ts",
|
||||
"import": "./esm/abstract/poseidon.js",
|
||||
"default": "./abstract/poseidon.js"
|
||||
},
|
||||
"./_shortw_utils": {
|
||||
"types": "./_shortw_utils.d.ts",
|
||||
"import": "./esm/_shortw_utils.js",
|
||||
"default": "./_shortw_utils.js"
|
||||
},
|
||||
"./bls12-381": {
|
||||
"types": "./bls12-381.d.ts",
|
||||
"import": "./esm/bls12-381.js",
|
||||
"default": "./bls12-381.js"
|
||||
},
|
||||
"./bn": {
|
||||
"types": "./bn.d.ts",
|
||||
"import": "./esm/bn.js",
|
||||
"default": "./bn.js"
|
||||
},
|
||||
"./ed25519": {
|
||||
"types": "./ed25519.d.ts",
|
||||
"import": "./esm/ed25519.js",
|
||||
"default": "./ed25519.js"
|
||||
},
|
||||
"./ed448": {
|
||||
"types": "./ed448.d.ts",
|
||||
"import": "./esm/ed448.js",
|
||||
"default": "./ed448.js"
|
||||
},
|
||||
"./index": {
|
||||
"types": "./index.d.ts",
|
||||
"import": "./esm/index.js",
|
||||
"default": "./index.js"
|
||||
},
|
||||
"./jubjub": {
|
||||
"types": "./jubjub.d.ts",
|
||||
"import": "./esm/jubjub.js",
|
||||
"default": "./jubjub.js"
|
||||
},
|
||||
"./p256": {
|
||||
"types": "./p256.d.ts",
|
||||
"import": "./esm/p256.js",
|
||||
"default": "./p256.js"
|
||||
},
|
||||
"./p384": {
|
||||
"types": "./p384.d.ts",
|
||||
"import": "./esm/p384.js",
|
||||
"default": "./p384.js"
|
||||
},
|
||||
"./p521": {
|
||||
"types": "./p521.d.ts",
|
||||
"import": "./esm/p521.js",
|
||||
"default": "./p521.js"
|
||||
},
|
||||
"./pasta": {
|
||||
"types": "./pasta.d.ts",
|
||||
"import": "./esm/pasta.js",
|
||||
"default": "./pasta.js"
|
||||
},
|
||||
"./secp256k1": {
|
||||
"types": "./secp256k1.d.ts",
|
||||
"import": "./esm/secp256k1.js",
|
||||
"default": "./secp256k1.js"
|
||||
},
|
||||
"./stark": {
|
||||
"types": "./stark.d.ts",
|
||||
"default": "./stark.js"
|
||||
}
|
||||
},
|
||||
"keywords": [
|
||||
@@ -153,7 +171,7 @@
|
||||
"bn254",
|
||||
"pasta",
|
||||
"bls",
|
||||
"nist",
|
||||
"noble",
|
||||
"ecc",
|
||||
"ecdsa",
|
||||
"eddsa",
|
||||
|
||||
@@ -12,7 +12,7 @@
|
||||
* Some projects may prefer to swap this relation, it is not supported for now.
|
||||
*/
|
||||
import { AffinePoint } from './curve.js';
|
||||
import { Field, hashToPrivateScalar } from './modular.js';
|
||||
import { IField, hashToPrivateScalar } from './modular.js';
|
||||
import { Hex, PrivKey, CHash, bitLen, bitGet, ensureBytes } from './utils.js';
|
||||
import * as htf from './hash-to-curve.js';
|
||||
import {
|
||||
@@ -41,15 +41,15 @@ export type CurveType<Fp, Fp2, Fp6, Fp12> = {
|
||||
htfDefaults: htf.Opts;
|
||||
};
|
||||
x: bigint;
|
||||
Fp: Field<Fp>;
|
||||
Fr: Field<bigint>;
|
||||
Fp2: Field<Fp2> & {
|
||||
Fp: IField<Fp>;
|
||||
Fr: IField<bigint>;
|
||||
Fp2: IField<Fp2> & {
|
||||
reim: (num: Fp2) => { re: bigint; im: bigint };
|
||||
multiplyByB: (num: Fp2) => Fp2;
|
||||
frobeniusMap(num: Fp2, power: number): Fp2;
|
||||
};
|
||||
Fp6: Field<Fp6>;
|
||||
Fp12: Field<Fp12> & {
|
||||
Fp6: IField<Fp6>;
|
||||
Fp12: IField<Fp12> & {
|
||||
frobeniusMap(num: Fp12, power: number): Fp12;
|
||||
multiplyBy014(num: Fp12, o0: Fp2, o1: Fp2, o4: Fp2): Fp12;
|
||||
conjugate(num: Fp12): Fp12;
|
||||
@@ -62,11 +62,11 @@ export type CurveType<Fp, Fp2, Fp6, Fp12> = {
|
||||
|
||||
export type CurveFn<Fp, Fp2, Fp6, Fp12> = {
|
||||
CURVE: CurveType<Fp, Fp2, Fp6, Fp12>;
|
||||
Fr: Field<bigint>;
|
||||
Fp: Field<Fp>;
|
||||
Fp2: Field<Fp2>;
|
||||
Fp6: Field<Fp6>;
|
||||
Fp12: Field<Fp12>;
|
||||
Fr: IField<bigint>;
|
||||
Fp: IField<Fp>;
|
||||
Fp2: IField<Fp2>;
|
||||
Fp6: IField<Fp6>;
|
||||
Fp12: IField<Fp12>;
|
||||
G1: CurvePointsRes<Fp> & ReturnType<typeof htf.createHasher<Fp>>;
|
||||
G2: CurvePointsRes<Fp2> & ReturnType<typeof htf.createHasher<Fp2>>;
|
||||
Signature: SignatureCoder<Fp2>;
|
||||
|
||||
@@ -1,6 +1,6 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
// Abelian group utilities
|
||||
import { Field, validateField, nLength } from './modular.js';
|
||||
import { IField, validateField, nLength } from './modular.js';
|
||||
import { validateObject } from './utils.js';
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
@@ -168,7 +168,7 @@ export function wNAF<T extends Group<T>>(c: GroupConstructor<T>, bits: number) {
|
||||
// Generic BasicCurve interface: works even for polynomial fields (BLS): P, n, h would be ok.
|
||||
// Though generator can be different (Fp2 / Fp6 for BLS).
|
||||
export type BasicCurve<T> = {
|
||||
Fp: Field<T>; // Field over which we'll do calculations (Fp)
|
||||
Fp: IField<T>; // Field over which we'll do calculations (Fp)
|
||||
n: bigint; // Curve order, total count of valid points in the field
|
||||
nBitLength?: number; // bit length of curve order
|
||||
nByteLength?: number; // byte length of curve order
|
||||
@@ -195,5 +195,9 @@ export function validateBasic<FP, T>(curve: BasicCurve<FP> & T) {
|
||||
}
|
||||
);
|
||||
// Set defaults
|
||||
return Object.freeze({ ...nLength(curve.n, curve.nBitLength), ...curve } as const);
|
||||
return Object.freeze({
|
||||
...nLength(curve.n, curve.nBitLength),
|
||||
...curve,
|
||||
...{ p: curve.Fp.ORDER },
|
||||
} as const);
|
||||
}
|
||||
|
||||
@@ -5,11 +5,9 @@ import * as ut from './utils.js';
|
||||
import { ensureBytes, FHash, Hex } from './utils.js';
|
||||
import { Group, GroupConstructor, wNAF, BasicCurve, validateBasic, AffinePoint } from './curve.js';
|
||||
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals like 123n
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
const _2n = BigInt(2);
|
||||
const _8n = BigInt(8);
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals
|
||||
// prettier-ignore
|
||||
const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _8n = BigInt(8);
|
||||
|
||||
// Edwards curves must declare params a & d.
|
||||
export type CurveType = BasicCurve<bigint> & {
|
||||
@@ -51,6 +49,8 @@ export interface ExtPointType extends Group<ExtPointType> {
|
||||
readonly ey: bigint;
|
||||
readonly ez: bigint;
|
||||
readonly et: bigint;
|
||||
get x(): bigint;
|
||||
get y(): bigint;
|
||||
assertValidity(): void;
|
||||
multiply(scalar: bigint): ExtPointType;
|
||||
multiplyUnsafe(scalar: bigint): ExtPointType;
|
||||
@@ -58,6 +58,8 @@ export interface ExtPointType extends Group<ExtPointType> {
|
||||
isTorsionFree(): boolean;
|
||||
clearCofactor(): ExtPointType;
|
||||
toAffine(iz?: bigint): AffinePoint<bigint>;
|
||||
toRawBytes(isCompressed?: boolean): Uint8Array;
|
||||
toHex(isCompressed?: boolean): string;
|
||||
}
|
||||
// Static methods of Extended Point with coordinates in X, Y, Z, T
|
||||
export interface ExtPointConstructor extends GroupConstructor<ExtPointType> {
|
||||
@@ -109,7 +111,7 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
if (ctx.length || phflag) throw new Error('Contexts/pre-hash are not supported');
|
||||
return data;
|
||||
}); // NOOP
|
||||
const inBig = (n: bigint) => typeof n === 'bigint' && 0n < n; // n in [1..]
|
||||
const inBig = (n: bigint) => typeof n === 'bigint' && _0n < n; // n in [1..]
|
||||
const inRange = (n: bigint, max: bigint) => inBig(n) && inBig(max) && n < max; // n in [1..max-1]
|
||||
const in0MaskRange = (n: bigint) => n === _0n || inRange(n, MASK); // n in [0..MASK-1]
|
||||
function assertInRange(n: bigint, max: bigint) {
|
||||
@@ -297,8 +299,9 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
// Non-constant-time multiplication. Uses double-and-add algorithm.
|
||||
// It's faster, but should only be used when you don't care about
|
||||
// an exposed private key e.g. sig verification.
|
||||
// Does NOT allow scalars higher than CURVE.n.
|
||||
multiplyUnsafe(scalar: bigint): Point {
|
||||
let n = assertGE0(scalar);
|
||||
let n = assertGE0(scalar); // 0 <= scalar < CURVE.n
|
||||
if (n === _0n) return I;
|
||||
if (this.equals(I) || n === _1n) return this;
|
||||
if (this.equals(G)) return this.wNAF(n).p;
|
||||
@@ -440,8 +443,8 @@ export function twistedEdwards(curveDef: CurveType): CurveFn {
|
||||
if (preHash) msg = preHash(msg); // for ed25519ph, etc
|
||||
const A = Point.fromHex(publicKey, false); // Check for s bounds, hex validity
|
||||
const R = Point.fromHex(sig.slice(0, len), false); // 0 <= R < 2^256: ZIP215 R can be >= P
|
||||
const s = ut.bytesToNumberLE(sig.slice(len, 2 * len)); // 0 <= s < l
|
||||
const SB = G.multiplyUnsafe(s);
|
||||
const s = ut.bytesToNumberLE(sig.slice(len, 2 * len));
|
||||
const SB = G.multiplyUnsafe(s); // 0 <= s < l is done inside
|
||||
const k = hashDomainToScalar(context, R.toRawBytes(), A.toRawBytes(), msg);
|
||||
const RkA = R.add(A.multiplyUnsafe(k));
|
||||
// [8][S]B = [8]R + [8][k]A'
|
||||
|
||||
@@ -1,6 +1,6 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import type { Group, GroupConstructor, AffinePoint } from './curve.js';
|
||||
import { mod, Field } from './modular.js';
|
||||
import { mod, IField } from './modular.js';
|
||||
import { bytesToNumberBE, CHash, concatBytes, utf8ToBytes, validateObject } from './utils.js';
|
||||
|
||||
/**
|
||||
@@ -163,7 +163,7 @@ export function hash_to_field(msg: Uint8Array, count: number, options: Opts): bi
|
||||
return u;
|
||||
}
|
||||
|
||||
export function isogenyMap<T, F extends Field<T>>(field: F, map: [T[], T[], T[], T[]]) {
|
||||
export function isogenyMap<T, F extends IField<T>>(field: F, map: [T[], T[], T[], T[]]) {
|
||||
// Make same order as in spec
|
||||
const COEFF = map.map((i) => Array.from(i).reverse());
|
||||
return (x: T, y: T) => {
|
||||
|
||||
@@ -97,7 +97,7 @@ export function tonelliShanks(P: bigint) {
|
||||
// Fast-path
|
||||
if (S === 1) {
|
||||
const p1div4 = (P + _1n) / _4n;
|
||||
return function tonelliFast<T>(Fp: Field<T>, n: T) {
|
||||
return function tonelliFast<T>(Fp: IField<T>, n: T) {
|
||||
const root = Fp.pow(n, p1div4);
|
||||
if (!Fp.eql(Fp.sqr(root), n)) throw new Error('Cannot find square root');
|
||||
return root;
|
||||
@@ -106,7 +106,7 @@ export function tonelliShanks(P: bigint) {
|
||||
|
||||
// Slow-path
|
||||
const Q1div2 = (Q + _1n) / _2n;
|
||||
return function tonelliSlow<T>(Fp: Field<T>, n: T): T {
|
||||
return function tonelliSlow<T>(Fp: IField<T>, n: T): T {
|
||||
// Step 0: Check that n is indeed a square: (n | p) should not be ≡ -1
|
||||
if (Fp.pow(n, legendreC) === Fp.neg(Fp.ONE)) throw new Error('Cannot find square root');
|
||||
let r = S;
|
||||
@@ -146,7 +146,7 @@ export function FpSqrt(P: bigint) {
|
||||
// 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn;
|
||||
// const NUM = 72057594037927816n;
|
||||
const p1div4 = (P + _1n) / _4n;
|
||||
return function sqrt3mod4<T>(Fp: Field<T>, n: T) {
|
||||
return function sqrt3mod4<T>(Fp: IField<T>, n: T) {
|
||||
const root = Fp.pow(n, p1div4);
|
||||
// Throw if root**2 != n
|
||||
if (!Fp.eql(Fp.sqr(root), n)) throw new Error('Cannot find square root');
|
||||
@@ -157,7 +157,7 @@ export function FpSqrt(P: bigint) {
|
||||
// Atkin algorithm for q ≡ 5 (mod 8), https://eprint.iacr.org/2012/685.pdf (page 10)
|
||||
if (P % _8n === _5n) {
|
||||
const c1 = (P - _5n) / _8n;
|
||||
return function sqrt5mod8<T>(Fp: Field<T>, n: T) {
|
||||
return function sqrt5mod8<T>(Fp: IField<T>, n: T) {
|
||||
const n2 = Fp.mul(n, _2n);
|
||||
const v = Fp.pow(n2, c1);
|
||||
const nv = Fp.mul(n, v);
|
||||
@@ -203,7 +203,7 @@ export const isNegativeLE = (num: bigint, modulo: bigint) => (mod(num, modulo) &
|
||||
// - unreadable mess: addition, multiply, square, squareRoot, inversion, divide, power, equals, subtract
|
||||
|
||||
// Field is not always over prime, Fp2 for example has ORDER(q)=p^m
|
||||
export interface Field<T> {
|
||||
export interface IField<T> {
|
||||
ORDER: bigint;
|
||||
BYTES: number;
|
||||
BITS: number;
|
||||
@@ -249,7 +249,7 @@ const FIELD_FIELDS = [
|
||||
'eql', 'add', 'sub', 'mul', 'pow', 'div',
|
||||
'addN', 'subN', 'mulN', 'sqrN'
|
||||
] as const;
|
||||
export function validateField<T>(field: Field<T>) {
|
||||
export function validateField<T>(field: IField<T>) {
|
||||
const initial = {
|
||||
ORDER: 'bigint',
|
||||
MASK: 'bigint',
|
||||
@@ -264,7 +264,7 @@ export function validateField<T>(field: Field<T>) {
|
||||
}
|
||||
|
||||
// Generic field functions
|
||||
export function FpPow<T>(f: Field<T>, num: T, power: bigint): T {
|
||||
export function FpPow<T>(f: IField<T>, num: T, power: bigint): T {
|
||||
// Should have same speed as pow for bigints
|
||||
// TODO: benchmark!
|
||||
if (power < _0n) throw new Error('Expected power > 0');
|
||||
@@ -275,12 +275,13 @@ export function FpPow<T>(f: Field<T>, num: T, power: bigint): T {
|
||||
while (power > _0n) {
|
||||
if (power & _1n) p = f.mul(p, d);
|
||||
d = f.sqr(d);
|
||||
power >>= 1n;
|
||||
power >>= _1n;
|
||||
}
|
||||
return p;
|
||||
}
|
||||
|
||||
export function FpInvertBatch<T>(f: Field<T>, nums: T[]): T[] {
|
||||
// 0 is non-invertible: non-batched version will throw on 0
|
||||
export function FpInvertBatch<T>(f: IField<T>, nums: T[]): T[] {
|
||||
const tmp = new Array(nums.length);
|
||||
// Walk from first to last, multiply them by each other MOD p
|
||||
const lastMultiplied = nums.reduce((acc, num, i) => {
|
||||
@@ -299,12 +300,12 @@ export function FpInvertBatch<T>(f: Field<T>, nums: T[]): T[] {
|
||||
return tmp;
|
||||
}
|
||||
|
||||
export function FpDiv<T>(f: Field<T>, lhs: T, rhs: T | bigint): T {
|
||||
export function FpDiv<T>(f: IField<T>, lhs: T, rhs: T | bigint): T {
|
||||
return f.mul(lhs, typeof rhs === 'bigint' ? invert(rhs, f.ORDER) : f.inv(rhs));
|
||||
}
|
||||
|
||||
// This function returns True whenever the value x is a square in the field F.
|
||||
export function FpIsSquare<T>(f: Field<T>) {
|
||||
export function FpIsSquare<T>(f: IField<T>) {
|
||||
const legendreConst = (f.ORDER - _1n) / _2n; // Integer arithmetic
|
||||
return (x: T): boolean => {
|
||||
const p = f.pow(x, legendreConst);
|
||||
@@ -320,16 +321,24 @@ export function nLength(n: bigint, nBitLength?: number) {
|
||||
return { nBitLength: _nBitLength, nByteLength };
|
||||
}
|
||||
|
||||
// NOTE: very fragile, always bench. Major performance points:
|
||||
// - NonNormalized ops
|
||||
// - Object.freeze
|
||||
// - same shape of object (don't add/remove keys)
|
||||
type FpField = Field<bigint> & Required<Pick<Field<bigint>, 'isOdd'>>;
|
||||
export function Fp(
|
||||
type FpField = IField<bigint> & Required<Pick<IField<bigint>, 'isOdd'>>;
|
||||
/**
|
||||
* Initializes a galois field over prime. Non-primes are not supported for now.
|
||||
* Do not init in loop: slow. Very fragile: always run a benchmark on change.
|
||||
* Major performance gains:
|
||||
* a) non-normalized operations like mulN instead of mul
|
||||
* b) `Object.freeze`
|
||||
* c) Same object shape: never add or remove keys
|
||||
* @param ORDER prime positive bigint
|
||||
* @param bitLen how many bits the field consumes
|
||||
* @param isLE (def: false) if encoding / decoding should be in little-endian
|
||||
* @param redef optional faster redefinitions of sqrt and other methods
|
||||
*/
|
||||
export function Field(
|
||||
ORDER: bigint,
|
||||
bitLen?: number,
|
||||
isLE = false,
|
||||
redef: Partial<Field<bigint>> = {}
|
||||
redef: Partial<IField<bigint>> = {}
|
||||
): Readonly<FpField> {
|
||||
if (ORDER <= _0n) throw new Error(`Expected Fp ORDER > 0, got ${ORDER}`);
|
||||
const { nBitLength: BITS, nByteLength: BYTES } = nLength(ORDER, bitLen);
|
||||
@@ -382,13 +391,13 @@ export function Fp(
|
||||
return Object.freeze(f);
|
||||
}
|
||||
|
||||
export function FpSqrtOdd<T>(Fp: Field<T>, elm: T) {
|
||||
export function FpSqrtOdd<T>(Fp: IField<T>, elm: T) {
|
||||
if (!Fp.isOdd) throw new Error(`Field doesn't have isOdd`);
|
||||
const root = Fp.sqrt(elm);
|
||||
return Fp.isOdd(root) ? root : Fp.neg(root);
|
||||
}
|
||||
|
||||
export function FpSqrtEven<T>(Fp: Field<T>, elm: T) {
|
||||
export function FpSqrtEven<T>(Fp: IField<T>, elm: T) {
|
||||
if (!Fp.isOdd) throw new Error(`Field doesn't have isOdd`);
|
||||
const root = Fp.sqrt(elm);
|
||||
return Fp.isOdd(root) ? Fp.neg(root) : root;
|
||||
|
||||
@@ -1,10 +1,10 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
// Poseidon Hash: https://eprint.iacr.org/2019/458.pdf, https://www.poseidon-hash.info
|
||||
import { Field, FpPow, validateField } from './modular.js';
|
||||
import { IField, FpPow, validateField } from './modular.js';
|
||||
// We don't provide any constants, since different implementations use different constants.
|
||||
// For reference constants see './test/poseidon.test.js'.
|
||||
export type PoseidonOpts = {
|
||||
Fp: Field<bigint>;
|
||||
Fp: IField<bigint>;
|
||||
t: number;
|
||||
roundsFull: number;
|
||||
roundsPartial: number;
|
||||
|
||||
@@ -58,6 +58,8 @@ export interface ProjPointType<T> extends Group<ProjPointType<T>> {
|
||||
readonly px: T;
|
||||
readonly py: T;
|
||||
readonly pz: T;
|
||||
get x(): T;
|
||||
get y(): T;
|
||||
multiply(scalar: bigint): ProjPointType<T>;
|
||||
toAffine(iz?: T): AffinePoint<T>;
|
||||
isTorsionFree(): boolean;
|
||||
@@ -82,8 +84,8 @@ export interface ProjConstructor<T> extends GroupConstructor<ProjPointType<T>> {
|
||||
|
||||
export type CurvePointsType<T> = BasicWCurve<T> & {
|
||||
// Bytes
|
||||
fromBytes: (bytes: Uint8Array) => AffinePoint<T>;
|
||||
toBytes: (c: ProjConstructor<T>, point: ProjPointType<T>, compressed: boolean) => Uint8Array;
|
||||
fromBytes?: (bytes: Uint8Array) => AffinePoint<T>;
|
||||
toBytes?: (c: ProjConstructor<T>, point: ProjPointType<T>, isCompressed: boolean) => Uint8Array;
|
||||
};
|
||||
|
||||
function validatePointOpts<T>(curve: CurvePointsType<T>) {
|
||||
@@ -93,8 +95,6 @@ function validatePointOpts<T>(curve: CurvePointsType<T>) {
|
||||
{
|
||||
a: 'field',
|
||||
b: 'field',
|
||||
fromBytes: 'function',
|
||||
toBytes: 'function',
|
||||
},
|
||||
{
|
||||
allowedPrivateKeyLengths: 'array',
|
||||
@@ -102,6 +102,8 @@ function validatePointOpts<T>(curve: CurvePointsType<T>) {
|
||||
isTorsionFree: 'function',
|
||||
clearCofactor: 'function',
|
||||
allowInfinityPoint: 'boolean',
|
||||
fromBytes: 'function',
|
||||
toBytes: 'function',
|
||||
}
|
||||
);
|
||||
const { endo, Fp, a } = opts;
|
||||
@@ -176,14 +178,31 @@ const DER = {
|
||||
},
|
||||
};
|
||||
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals like 123n
|
||||
const _0n = BigInt(0);
|
||||
const _1n = BigInt(1);
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals
|
||||
// prettier-ignore
|
||||
const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4);
|
||||
|
||||
export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
const CURVE = validatePointOpts(opts);
|
||||
const { Fp } = CURVE; // All curves has same field / group length as for now, but they can differ
|
||||
|
||||
const toBytes =
|
||||
CURVE.toBytes ||
|
||||
((c: ProjConstructor<T>, point: ProjPointType<T>, isCompressed: boolean) => {
|
||||
const a = point.toAffine();
|
||||
return ut.concatBytes(Uint8Array.from([0x04]), Fp.toBytes(a.x), Fp.toBytes(a.y));
|
||||
});
|
||||
const fromBytes =
|
||||
CURVE.fromBytes ||
|
||||
((bytes: Uint8Array) => {
|
||||
// const head = bytes[0];
|
||||
const tail = bytes.subarray(1);
|
||||
// if (head !== 0x04) throw new Error('Only non-compressed encoding is supported');
|
||||
const x = Fp.fromBytes(tail.subarray(0, Fp.BYTES));
|
||||
const y = Fp.fromBytes(tail.subarray(Fp.BYTES, 2 * Fp.BYTES));
|
||||
return { x, y };
|
||||
});
|
||||
|
||||
/**
|
||||
* y² = x³ + ax + b: Short weierstrass curve formula
|
||||
* @returns y²
|
||||
@@ -280,7 +299,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
* @param hex short/long ECDSA hex
|
||||
*/
|
||||
static fromHex(hex: Hex): Point {
|
||||
const P = Point.fromAffine(CURVE.fromBytes(ensureBytes('pointHex', hex)));
|
||||
const P = Point.fromAffine(fromBytes(ensureBytes('pointHex', hex)));
|
||||
P.assertValidity();
|
||||
return P;
|
||||
}
|
||||
@@ -348,7 +367,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
// Cost: 8M + 3S + 3*a + 2*b3 + 15add.
|
||||
double() {
|
||||
const { a, b } = CURVE;
|
||||
const b3 = Fp.mul(b, 3n);
|
||||
const b3 = Fp.mul(b, _3n);
|
||||
const { px: X1, py: Y1, pz: Z1 } = this;
|
||||
let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO; // prettier-ignore
|
||||
let t0 = Fp.mul(X1, X1); // step 1
|
||||
@@ -395,7 +414,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
const { px: X2, py: Y2, pz: Z2 } = other;
|
||||
let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO; // prettier-ignore
|
||||
const a = CURVE.a;
|
||||
const b3 = Fp.mul(CURVE.b, 3n);
|
||||
const b3 = Fp.mul(CURVE.b, _3n);
|
||||
let t0 = Fp.mul(X1, X2); // step 1
|
||||
let t1 = Fp.mul(Y1, Y2);
|
||||
let t2 = Fp.mul(Z1, Z2);
|
||||
@@ -563,7 +582,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
|
||||
toRawBytes(isCompressed = true): Uint8Array {
|
||||
this.assertValidity();
|
||||
return CURVE.toBytes(Point, this, isCompressed);
|
||||
return toBytes(Point, this, isCompressed);
|
||||
}
|
||||
|
||||
toHex(isCompressed = true): string {
|
||||
@@ -574,6 +593,7 @@ export function weierstrassPoints<T>(opts: CurvePointsType<T>) {
|
||||
const wnaf = wNAF(Point, CURVE.endo ? Math.ceil(_bits / 2) : _bits);
|
||||
|
||||
return {
|
||||
CURVE,
|
||||
ProjectivePoint: Point as ProjConstructor<T>,
|
||||
normPrivateKeyToScalar,
|
||||
weierstrassEquation,
|
||||
@@ -652,8 +672,7 @@ export type CurveFn = {
|
||||
|
||||
export function weierstrass(curveDef: CurveType): CurveFn {
|
||||
const CURVE = validateOpts(curveDef) as ReturnType<typeof validateOpts>;
|
||||
const CURVE_ORDER = CURVE.n;
|
||||
const Fp = CURVE.Fp;
|
||||
const { Fp, n: CURVE_ORDER } = CURVE;
|
||||
const compressedLen = Fp.BYTES + 1; // e.g. 33 for 32
|
||||
const uncompressedLen = 2 * Fp.BYTES + 1; // e.g. 65 for 32
|
||||
|
||||
@@ -1055,22 +1074,21 @@ export function weierstrass(curveDef: CurveType): CurveFn {
|
||||
}
|
||||
|
||||
// Implementation of the Shallue and van de Woestijne method for any Weierstrass curve
|
||||
|
||||
// TODO: check if there is a way to merge this with uvRatio in Edwards && move to modular?
|
||||
// b = True and y = sqrt(u / v) if (u / v) is square in F, and
|
||||
// b = False and y = sqrt(Z * (u / v)) otherwise.
|
||||
export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||
export function SWUFpSqrtRatio<T>(Fp: mod.IField<T>, Z: T) {
|
||||
// Generic implementation
|
||||
const q = Fp.ORDER;
|
||||
let l = 0n;
|
||||
for (let o = q - 1n; o % 2n === 0n; o /= 2n) l += 1n;
|
||||
let l = _0n;
|
||||
for (let o = q - _1n; o % _2n === _0n; o /= _2n) l += _1n;
|
||||
const c1 = l; // 1. c1, the largest integer such that 2^c1 divides q - 1.
|
||||
const c2 = (q - 1n) / 2n ** c1; // 2. c2 = (q - 1) / (2^c1) # Integer arithmetic
|
||||
const c3 = (c2 - 1n) / 2n; // 3. c3 = (c2 - 1) / 2 # Integer arithmetic
|
||||
const c4 = 2n ** c1 - 1n; // 4. c4 = 2^c1 - 1 # Integer arithmetic
|
||||
const c5 = 2n ** (c1 - 1n); // 5. c5 = 2^(c1 - 1) # Integer arithmetic
|
||||
const c2 = (q - _1n) / _2n ** c1; // 2. c2 = (q - 1) / (2^c1) # Integer arithmetic
|
||||
const c3 = (c2 - _1n) / _2n; // 3. c3 = (c2 - 1) / 2 # Integer arithmetic
|
||||
const c4 = _2n ** c1 - _1n; // 4. c4 = 2^c1 - 1 # Integer arithmetic
|
||||
const c5 = _2n ** (c1 - _1n); // 5. c5 = 2^(c1 - 1) # Integer arithmetic
|
||||
const c6 = Fp.pow(Z, c2); // 6. c6 = Z^c2
|
||||
const c7 = Fp.pow(Z, (c2 + 1n) / 2n); // 7. c7 = Z^((c2 + 1) / 2)
|
||||
const c7 = Fp.pow(Z, (c2 + _1n) / _2n); // 7. c7 = Z^((c2 + 1) / 2)
|
||||
let sqrtRatio = (u: T, v: T): { isValid: boolean; value: T } => {
|
||||
let tv1 = c6; // 1. tv1 = c6
|
||||
let tv2 = Fp.pow(v, c4); // 2. tv2 = v^c4
|
||||
@@ -1090,7 +1108,7 @@ export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||
tv4 = Fp.cmov(tv5, tv4, isQR); // 16. tv4 = CMOV(tv5, tv4, isQR)
|
||||
// 17. for i in (c1, c1 - 1, ..., 2):
|
||||
for (let i = c1; i > 1; i--) {
|
||||
let tv5 = 2n ** (i - 2n); // 18. tv5 = i - 2; 19. tv5 = 2^tv5
|
||||
let tv5 = _2n ** (i - _2n); // 18. tv5 = i - 2; 19. tv5 = 2^tv5
|
||||
let tvv5 = Fp.pow(tv4, tv5); // 20. tv5 = tv4^tv5
|
||||
const e1 = Fp.eql(tvv5, Fp.ONE); // 21. e1 = tv5 == 1
|
||||
tv2 = Fp.mul(tv3, tv1); // 22. tv2 = tv3 * tv1
|
||||
@@ -1101,9 +1119,9 @@ export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||
}
|
||||
return { isValid: isQR, value: tv3 };
|
||||
};
|
||||
if (Fp.ORDER % 4n === 3n) {
|
||||
if (Fp.ORDER % _4n === _3n) {
|
||||
// sqrt_ratio_3mod4(u, v)
|
||||
const c1 = (Fp.ORDER - 3n) / 4n; // 1. c1 = (q - 3) / 4 # Integer arithmetic
|
||||
const c1 = (Fp.ORDER - _3n) / _4n; // 1. c1 = (q - 3) / 4 # Integer arithmetic
|
||||
const c2 = Fp.sqrt(Fp.neg(Z)); // 2. c2 = sqrt(-Z)
|
||||
sqrtRatio = (u: T, v: T) => {
|
||||
let tv1 = Fp.sqr(v); // 1. tv1 = v^2
|
||||
@@ -1119,12 +1137,12 @@ export function SWUFpSqrtRatio<T>(Fp: mod.Field<T>, Z: T) {
|
||||
};
|
||||
}
|
||||
// No curves uses that
|
||||
// if (Fp.ORDER % 8n === 5n) // sqrt_ratio_5mod8
|
||||
// if (Fp.ORDER % _8n === _5n) // sqrt_ratio_5mod8
|
||||
return sqrtRatio;
|
||||
}
|
||||
// From draft-irtf-cfrg-hash-to-curve-16
|
||||
export function mapToCurveSimpleSWU<T>(
|
||||
Fp: mod.Field<T>,
|
||||
Fp: mod.IField<T>,
|
||||
opts: {
|
||||
A: T;
|
||||
B: T;
|
||||
|
||||
313
src/bls12-381.ts
313
src/bls12-381.ts
@@ -69,16 +69,23 @@ import {
|
||||
} from './abstract/weierstrass.js';
|
||||
import { isogenyMap } from './abstract/hash-to-curve.js';
|
||||
|
||||
// Be friendly to bad ECMAScript parsers by not using bigint literals
|
||||
// prettier-ignore
|
||||
const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4);
|
||||
const _8n = BigInt(8),
|
||||
_16n = BigInt(16);
|
||||
|
||||
// CURVE FIELDS
|
||||
// Finite field over p.
|
||||
const Fp =
|
||||
mod.Fp(
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn
|
||||
);
|
||||
const Fp = mod.Field(
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab'
|
||||
)
|
||||
);
|
||||
type Fp = bigint;
|
||||
// Finite field over r.
|
||||
// This particular field is not used anywhere in bls12-381, but it is still useful.
|
||||
const Fr = mod.Fp(0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001n);
|
||||
const Fr = mod.Field(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001'));
|
||||
|
||||
// Fp₂ over complex plane
|
||||
type BigintTuple = [bigint, bigint];
|
||||
@@ -121,10 +128,11 @@ type Fp2Utils = {
|
||||
// h2q
|
||||
// NOTE: ORDER was wrong!
|
||||
const FP2_ORDER =
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn **
|
||||
2n;
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab'
|
||||
) ** _2n;
|
||||
|
||||
const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
const Fp2: mod.IField<Fp2> & Fp2Utils = {
|
||||
ORDER: FP2_ORDER,
|
||||
BITS: bitLen(FP2_ORDER),
|
||||
BYTES: Math.ceil(bitLen(FP2_ORDER) / 8),
|
||||
@@ -175,7 +183,7 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
// https://github.com/zkcrypto/bls12_381/blob/080eaa74ec0e394377caa1ba302c8c121df08b07/src/fp2.rs#L250
|
||||
// https://github.com/supranational/blst/blob/aae0c7d70b799ac269ff5edf29d8191dbd357876/src/exp2.c#L1
|
||||
// Inspired by https://github.com/dalek-cryptography/curve25519-dalek/blob/17698df9d4c834204f83a3574143abacb4fc81a5/src/field.rs#L99
|
||||
const candidateSqrt = Fp2.pow(num, (Fp2.ORDER + 8n) / 16n);
|
||||
const candidateSqrt = Fp2.pow(num, (Fp2.ORDER + _8n) / _16n);
|
||||
const check = Fp2.div(Fp2.sqr(candidateSqrt), num); // candidateSqrt.square().div(this);
|
||||
const R = FP2_ROOTS_OF_UNITY;
|
||||
const divisor = [R[0], R[2], R[4], R[6]].find((r) => Fp2.eql(r, check));
|
||||
@@ -193,10 +201,10 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
// Same as sgn0_fp2 in draft-irtf-cfrg-hash-to-curve-16
|
||||
isOdd: (x: Fp2) => {
|
||||
const { re: x0, im: x1 } = Fp2.reim(x);
|
||||
const sign_0 = x0 % 2n;
|
||||
const zero_0 = x0 === 0n;
|
||||
const sign_1 = x1 % 2n;
|
||||
return BigInt(sign_0 || (zero_0 && sign_1)) == 1n;
|
||||
const sign_0 = x0 % _2n;
|
||||
const zero_0 = x0 === _0n;
|
||||
const sign_1 = x1 % _2n;
|
||||
return BigInt(sign_0 || (zero_0 && sign_1)) == _1n;
|
||||
},
|
||||
// Bytes util
|
||||
fromBytes(b: Uint8Array): Fp2 {
|
||||
@@ -216,8 +224,8 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
// multiply by u + 1
|
||||
mulByNonresidue: ({ c0, c1 }) => ({ c0: Fp.sub(c0, c1), c1: Fp.add(c0, c1) }),
|
||||
multiplyByB: ({ c0, c1 }) => {
|
||||
let t0 = Fp.mul(c0, 4n); // 4 * c0
|
||||
let t1 = Fp.mul(c1, 4n); // 4 * c1
|
||||
let t0 = Fp.mul(c0, _4n); // 4 * c0
|
||||
let t1 = Fp.mul(c1, _4n); // 4 * c1
|
||||
// (T0-T1) + (T0+T1)*i
|
||||
return { c0: Fp.sub(t0, t1), c1: Fp.add(t0, t1) };
|
||||
},
|
||||
@@ -234,33 +242,36 @@ const Fp2: mod.Field<Fp2> & Fp2Utils = {
|
||||
// Finite extension field over irreducible polynominal.
|
||||
// Fp(u) / (u² - β) where β = -1
|
||||
const FP2_FROBENIUS_COEFFICIENTS = [
|
||||
0x1n,
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaan,
|
||||
BigInt('0x1'),
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa'
|
||||
),
|
||||
].map((item) => Fp.create(item));
|
||||
|
||||
// For Fp2 roots of unity.
|
||||
const rv1 =
|
||||
0x6af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09n;
|
||||
const rv1 = BigInt(
|
||||
'0x6af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09'
|
||||
);
|
||||
// const ev1 =
|
||||
// 0x699be3b8c6870965e5bf892ad5d2cc7b0e85a117402dfd83b7f4a947e02d978498255a2aaec0ac627b5afbdf1bf1c90n;
|
||||
// BigInt('0x699be3b8c6870965e5bf892ad5d2cc7b0e85a117402dfd83b7f4a947e02d978498255a2aaec0ac627b5afbdf1bf1c90');
|
||||
// const ev2 =
|
||||
// 0x8157cd83046453f5dd0972b6e3949e4288020b5b8a9cc99ca07e27089a2ce2436d965026adad3ef7baba37f2183e9b5n;
|
||||
// BigInt('0x8157cd83046453f5dd0972b6e3949e4288020b5b8a9cc99ca07e27089a2ce2436d965026adad3ef7baba37f2183e9b5');
|
||||
// const ev3 =
|
||||
// 0xab1c2ffdd6c253ca155231eb3e71ba044fd562f6f72bc5bad5ec46a0b7a3b0247cf08ce6c6317f40edbc653a72dee17n;
|
||||
// BigInt('0xab1c2ffdd6c253ca155231eb3e71ba044fd562f6f72bc5bad5ec46a0b7a3b0247cf08ce6c6317f40edbc653a72dee17');
|
||||
// const ev4 =
|
||||
// 0xaa404866706722864480885d68ad0ccac1967c7544b447873cc37e0181271e006df72162a3d3e0287bf597fbf7f8fc1n;
|
||||
// BigInt('0xaa404866706722864480885d68ad0ccac1967c7544b447873cc37e0181271e006df72162a3d3e0287bf597fbf7f8fc1');
|
||||
|
||||
// Eighth roots of unity, used for computing square roots in Fp2.
|
||||
// To verify or re-calculate:
|
||||
// Array(8).fill(new Fp2([1n, 1n])).map((fp2, k) => fp2.pow(Fp2.ORDER * BigInt(k) / 8n))
|
||||
const FP2_ROOTS_OF_UNITY = [
|
||||
[1n, 0n],
|
||||
[_1n, _0n],
|
||||
[rv1, -rv1],
|
||||
[0n, 1n],
|
||||
[_0n, _1n],
|
||||
[rv1, rv1],
|
||||
[-1n, 0n],
|
||||
[-_1n, _0n],
|
||||
[-rv1, rv1],
|
||||
[0n, -1n],
|
||||
[_0n, -_1n],
|
||||
[-rv1, -rv1],
|
||||
].map((pair) => Fp2.fromBigTuple(pair));
|
||||
// eta values, used for computing sqrt(g(X1(t)))
|
||||
@@ -314,8 +325,8 @@ const Fp6Multiply = ({ c0, c1, c2 }: Fp6, rhs: Fp6 | bigint) => {
|
||||
};
|
||||
const Fp6Square = ({ c0, c1, c2 }: Fp6) => {
|
||||
let t0 = Fp2.sqr(c0); // c0²
|
||||
let t1 = Fp2.mul(Fp2.mul(c0, c1), 2n); // 2 * c0 * c1
|
||||
let t3 = Fp2.mul(Fp2.mul(c1, c2), 2n); // 2 * c1 * c2
|
||||
let t1 = Fp2.mul(Fp2.mul(c0, c1), _2n); // 2 * c0 * c1
|
||||
let t3 = Fp2.mul(Fp2.mul(c1, c2), _2n); // 2 * c1 * c2
|
||||
let t4 = Fp2.sqr(c2); // c2²
|
||||
return {
|
||||
c0: Fp2.add(Fp2.mulByNonresidue(t3), t0), // T3 * (u + 1) + T0
|
||||
@@ -333,7 +344,7 @@ type Fp6Utils = {
|
||||
multiplyByFp2(lhs: Fp6, rhs: Fp2): Fp6;
|
||||
};
|
||||
|
||||
const Fp6: mod.Field<Fp6> & Fp6Utils = {
|
||||
const Fp6: mod.IField<Fp6> & Fp6Utils = {
|
||||
ORDER: Fp2.ORDER, // TODO: unused, but need to verify
|
||||
BITS: 3 * Fp2.BITS,
|
||||
BYTES: 3 * Fp2.BYTES,
|
||||
@@ -440,46 +451,64 @@ const Fp6: mod.Field<Fp6> & Fp6Utils = {
|
||||
};
|
||||
|
||||
const FP6_FROBENIUS_COEFFICIENTS_1 = [
|
||||
[0x1n, 0x0n],
|
||||
[BigInt('0x1'), BigInt('0x0')],
|
||||
[
|
||||
0x0n,
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn,
|
||||
BigInt('0x0'),
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[0x0n, 0x1n],
|
||||
[BigInt('0x0'), BigInt('0x1')],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x0n,
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen,
|
||||
BigInt('0x0'),
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
),
|
||||
],
|
||||
].map((pair) => Fp2.fromBigTuple(pair));
|
||||
const FP6_FROBENIUS_COEFFICIENTS_2 = [
|
||||
[0x1n, 0x0n],
|
||||
[BigInt('0x1'), BigInt('0x0')],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaadn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaad'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaan,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffeffffn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffeffff'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
].map((pair) => Fp2.fromBigTuple(pair));
|
||||
|
||||
@@ -488,7 +517,7 @@ const FP6_FROBENIUS_COEFFICIENTS_2 = [
|
||||
// Fp₆(w) / (w² - γ) where γ = v
|
||||
type Fp12 = { c0: Fp6; c1: Fp6 };
|
||||
// The BLS parameter x for BLS12-381
|
||||
const BLS_X = 0xd201000000010000n;
|
||||
const BLS_X = BigInt('0xd201000000010000');
|
||||
const BLS_X_LEN = bitLen(BLS_X);
|
||||
|
||||
// prettier-ignore
|
||||
@@ -545,7 +574,7 @@ type Fp12Utils = {
|
||||
_cyclotomicExp(num: Fp12, n: bigint): Fp12;
|
||||
};
|
||||
|
||||
const Fp12: mod.Field<Fp12> & Fp12Utils = {
|
||||
const Fp12: mod.IField<Fp12> & Fp12Utils = {
|
||||
ORDER: Fp2.ORDER, // TODO: unused, but need to verify
|
||||
BITS: 2 * Fp2.BITS,
|
||||
BYTES: 2 * Fp2.BYTES,
|
||||
@@ -646,14 +675,14 @@ const Fp12: mod.Field<Fp12> & Fp12Utils = {
|
||||
let t9 = Fp2.mulByNonresidue(t8); // T8 * (u + 1)
|
||||
return {
|
||||
c0: Fp6.create({
|
||||
c0: Fp2.add(Fp2.mul(Fp2.sub(t3, c0c0), 2n), t3), // 2 * (T3 - c0c0) + T3
|
||||
c1: Fp2.add(Fp2.mul(Fp2.sub(t5, c0c1), 2n), t5), // 2 * (T5 - c0c1) + T5
|
||||
c2: Fp2.add(Fp2.mul(Fp2.sub(t7, c0c2), 2n), t7),
|
||||
c0: Fp2.add(Fp2.mul(Fp2.sub(t3, c0c0), _2n), t3), // 2 * (T3 - c0c0) + T3
|
||||
c1: Fp2.add(Fp2.mul(Fp2.sub(t5, c0c1), _2n), t5), // 2 * (T5 - c0c1) + T5
|
||||
c2: Fp2.add(Fp2.mul(Fp2.sub(t7, c0c2), _2n), t7),
|
||||
}), // 2 * (T7 - c0c2) + T7
|
||||
c1: Fp6.create({
|
||||
c0: Fp2.add(Fp2.mul(Fp2.add(t9, c1c0), 2n), t9), // 2 * (T9 + c1c0) + T9
|
||||
c1: Fp2.add(Fp2.mul(Fp2.add(t4, c1c1), 2n), t4), // 2 * (T4 + c1c1) + T4
|
||||
c2: Fp2.add(Fp2.mul(Fp2.add(t6, c1c2), 2n), t6),
|
||||
c0: Fp2.add(Fp2.mul(Fp2.add(t9, c1c0), _2n), t9), // 2 * (T9 + c1c0) + T9
|
||||
c1: Fp2.add(Fp2.mul(Fp2.add(t4, c1c1), _2n), t4), // 2 * (T4 + c1c1) + T4
|
||||
c2: Fp2.add(Fp2.mul(Fp2.add(t6, c1c2), _2n), t6),
|
||||
}),
|
||||
}; // 2 * (T6 + c1c2) + T6
|
||||
},
|
||||
@@ -688,50 +717,84 @@ const Fp12: mod.Field<Fp12> & Fp12Utils = {
|
||||
},
|
||||
};
|
||||
const FP12_FROBENIUS_COEFFICIENTS = [
|
||||
[0x1n, 0x0n],
|
||||
[BigInt('0x1'), BigInt('0x0')],
|
||||
[
|
||||
0x1904d3bf02bb0667c231beb4202c0d1f0fd603fd3cbd5f4f7b2443d784bab9c4f67ea53d63e7813d8d0775ed92235fb8n,
|
||||
0x00fc3e2b36c4e03288e9e902231f9fb854a14787b6c7b36fec0c8ec971f63c5f282d5ac14d6c7ec22cf78a126ddc4af3n,
|
||||
BigInt(
|
||||
'0x1904d3bf02bb0667c231beb4202c0d1f0fd603fd3cbd5f4f7b2443d784bab9c4f67ea53d63e7813d8d0775ed92235fb8'
|
||||
),
|
||||
BigInt(
|
||||
'0x00fc3e2b36c4e03288e9e902231f9fb854a14787b6c7b36fec0c8ec971f63c5f282d5ac14d6c7ec22cf78a126ddc4af3'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffeffffn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffeffff'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x135203e60180a68ee2e9c448d77a2cd91c3dedd930b1cf60ef396489f61eb45e304466cf3e67fa0af1ee7b04121bdea2n,
|
||||
0x06af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09n,
|
||||
BigInt(
|
||||
'0x135203e60180a68ee2e9c448d77a2cd91c3dedd930b1cf60ef396489f61eb45e304466cf3e67fa0af1ee7b04121bdea2'
|
||||
),
|
||||
BigInt(
|
||||
'0x06af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x00000000000000005f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x144e4211384586c16bd3ad4afa99cc9170df3560e77982d0db45f3536814f0bd5871c1908bd478cd1ee605167ff82995n,
|
||||
0x05b2cfd9013a5fd8df47fa6b48b1e045f39816240c0b8fee8beadf4d8e9c0566c63a3e6e257f87329b18fae980078116n,
|
||||
BigInt(
|
||||
'0x144e4211384586c16bd3ad4afa99cc9170df3560e77982d0db45f3536814f0bd5871c1908bd478cd1ee605167ff82995'
|
||||
),
|
||||
BigInt(
|
||||
'0x05b2cfd9013a5fd8df47fa6b48b1e045f39816240c0b8fee8beadf4d8e9c0566c63a3e6e257f87329b18fae980078116'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaan,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaa'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x00fc3e2b36c4e03288e9e902231f9fb854a14787b6c7b36fec0c8ec971f63c5f282d5ac14d6c7ec22cf78a126ddc4af3n,
|
||||
0x1904d3bf02bb0667c231beb4202c0d1f0fd603fd3cbd5f4f7b2443d784bab9c4f67ea53d63e7813d8d0775ed92235fb8n,
|
||||
BigInt(
|
||||
'0x00fc3e2b36c4e03288e9e902231f9fb854a14787b6c7b36fec0c8ec971f63c5f282d5ac14d6c7ec22cf78a126ddc4af3'
|
||||
),
|
||||
BigInt(
|
||||
'0x1904d3bf02bb0667c231beb4202c0d1f0fd603fd3cbd5f4f7b2443d784bab9c4f67ea53d63e7813d8d0775ed92235fb8'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x06af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09n,
|
||||
0x135203e60180a68ee2e9c448d77a2cd91c3dedd930b1cf60ef396489f61eb45e304466cf3e67fa0af1ee7b04121bdea2n,
|
||||
BigInt(
|
||||
'0x06af0e0437ff400b6831e36d6bd17ffe48395dabc2d3435e77f76e17009241c5ee67992f72ec05f4c81084fbede3cc09'
|
||||
),
|
||||
BigInt(
|
||||
'0x135203e60180a68ee2e9c448d77a2cd91c3dedd930b1cf60ef396489f61eb45e304466cf3e67fa0af1ee7b04121bdea2'
|
||||
),
|
||||
],
|
||||
[
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaadn,
|
||||
0x0n,
|
||||
BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaad'
|
||||
),
|
||||
BigInt('0x0'),
|
||||
],
|
||||
[
|
||||
0x05b2cfd9013a5fd8df47fa6b48b1e045f39816240c0b8fee8beadf4d8e9c0566c63a3e6e257f87329b18fae980078116n,
|
||||
0x144e4211384586c16bd3ad4afa99cc9170df3560e77982d0db45f3536814f0bd5871c1908bd478cd1ee605167ff82995n,
|
||||
BigInt(
|
||||
'0x05b2cfd9013a5fd8df47fa6b48b1e045f39816240c0b8fee8beadf4d8e9c0566c63a3e6e257f87329b18fae980078116'
|
||||
),
|
||||
BigInt(
|
||||
'0x144e4211384586c16bd3ad4afa99cc9170df3560e77982d0db45f3536814f0bd5871c1908bd478cd1ee605167ff82995'
|
||||
),
|
||||
],
|
||||
].map((n) => Fp2.fromBigTuple(n));
|
||||
// END OF CURVE FIELDS
|
||||
@@ -887,17 +950,21 @@ const isogenyMapG1 = isogenyMap(
|
||||
|
||||
// SWU Map - Fp2 to G2': y² = x³ + 240i * x + 1012 + 1012i
|
||||
const G2_SWU = mapToCurveSimpleSWU(Fp2, {
|
||||
A: Fp2.create({ c0: Fp.create(0n), c1: Fp.create(240n) }), // A' = 240 * I
|
||||
A: Fp2.create({ c0: Fp.create(_0n), c1: Fp.create(240n) }), // A' = 240 * I
|
||||
B: Fp2.create({ c0: Fp.create(1012n), c1: Fp.create(1012n) }), // B' = 1012 * (1 + I)
|
||||
Z: Fp2.create({ c0: Fp.create(-2n), c1: Fp.create(-1n) }), // Z: -(2 + I)
|
||||
});
|
||||
// Optimized SWU Map - Fp to G1
|
||||
const G1_SWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: Fp.create(
|
||||
0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1dn
|
||||
BigInt(
|
||||
'0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1d'
|
||||
)
|
||||
),
|
||||
B: Fp.create(
|
||||
0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0n
|
||||
BigInt(
|
||||
'0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0'
|
||||
)
|
||||
),
|
||||
Z: Fp.create(11n),
|
||||
});
|
||||
@@ -922,8 +989,9 @@ function G2psi(c: ProjConstructor<Fp2>, P: ProjPointType<Fp2>) {
|
||||
}
|
||||
// Ψ²(P) endomorphism
|
||||
// 1 / F2(2)^((p-1)/3) in GF(p²)
|
||||
const PSI2_C1 =
|
||||
0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaacn;
|
||||
const PSI2_C1 = BigInt(
|
||||
'0x1a0111ea397fe699ec02408663d4de85aa0d857d89759ad4897d29650fb85f9b409427eb4f49fffd8bfd00000000aaac'
|
||||
);
|
||||
|
||||
function psi2(x: Fp2, y: Fp2): [Fp2, Fp2] {
|
||||
return [Fp2.mul(x, PSI2_C1), Fp2.neg(y)];
|
||||
@@ -1000,14 +1068,18 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
G1: {
|
||||
Fp,
|
||||
// cofactor; (z - 1)²/3
|
||||
h: 0x396c8c005555e1568c00aaab0000aaabn,
|
||||
h: BigInt('0x396c8c005555e1568c00aaab0000aaab'),
|
||||
// generator's coordinates
|
||||
// x = 3685416753713387016781088315183077757961620795782546409894578378688607592378376318836054947676345821548104185464507
|
||||
// y = 1339506544944476473020471379941921221584933875938349620426543736416511423956333506472724655353366534992391756441569
|
||||
Gx: 0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bbn,
|
||||
Gy: 0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1n,
|
||||
Gx: BigInt(
|
||||
'0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb'
|
||||
),
|
||||
Gy: BigInt(
|
||||
'0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1'
|
||||
),
|
||||
a: Fp.ZERO,
|
||||
b: 4n,
|
||||
b: _4n,
|
||||
htfDefaults: { ...htfDefaults, m: 1 },
|
||||
wrapPrivateKey: true,
|
||||
allowInfinityPoint: true,
|
||||
@@ -1017,8 +1089,9 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
// https://eprint.iacr.org/2021/1130.pdf
|
||||
isTorsionFree: (c, point): boolean => {
|
||||
// φ endomorphism
|
||||
const cubicRootOfUnityModP =
|
||||
0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffen;
|
||||
const cubicRootOfUnityModP = BigInt(
|
||||
'0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
|
||||
);
|
||||
const phi = new c(Fp.mul(point.px, cubicRootOfUnityModP), point.py, point.pz);
|
||||
|
||||
// todo: unroll
|
||||
@@ -1028,7 +1101,7 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
|
||||
// https://eprint.iacr.org/2019/814.pdf
|
||||
// (z² − 1)/3
|
||||
// const c1 = 0x396c8c005555e1560000000055555555n;
|
||||
// const c1 = BigInt('0x396c8c005555e1560000000055555555');
|
||||
// const P = this;
|
||||
// const S = P.sigma();
|
||||
// const Q = S.double();
|
||||
@@ -1054,13 +1127,13 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
const compressedValue = bytesToNumberBE(bytes);
|
||||
const bflag = bitGet(compressedValue, I_BIT_POS);
|
||||
// Zero
|
||||
if (bflag === 1n) return { x: 0n, y: 0n };
|
||||
if (bflag === _1n) return { x: _0n, y: _0n };
|
||||
const x = Fp.create(compressedValue & Fp.MASK);
|
||||
const right = Fp.add(Fp.pow(x, 3n), Fp.create(bls12_381.CURVE.G1.b)); // y² = x³ + b
|
||||
const right = Fp.add(Fp.pow(x, _3n), Fp.create(bls12_381.CURVE.G1.b)); // y² = x³ + b
|
||||
let y = Fp.sqrt(right);
|
||||
if (!y) throw new Error('Invalid compressed G1 point');
|
||||
const aflag = bitGet(compressedValue, C_BIT_POS);
|
||||
if ((y * 2n) / P !== aflag) y = Fp.neg(y);
|
||||
if ((y * _2n) / P !== aflag) y = Fp.neg(y);
|
||||
return { x: Fp.create(x), y: Fp.create(y) };
|
||||
} else if (bytes.length === 96) {
|
||||
// Check if the infinity flag is set
|
||||
@@ -1079,7 +1152,7 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
if (isZero) return COMPRESSED_ZERO.slice();
|
||||
const P = Fp.ORDER;
|
||||
let num;
|
||||
num = bitSet(x, C_BIT_POS, Boolean((y * 2n) / P)); // set aflag
|
||||
num = bitSet(x, C_BIT_POS, Boolean((y * _2n) / P)); // set aflag
|
||||
num = bitSet(num, S_BIT_POS, true);
|
||||
return numberToBytesBE(num, Fp.BYTES);
|
||||
} else {
|
||||
@@ -1100,21 +1173,33 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
G2: {
|
||||
Fp: Fp2,
|
||||
// cofactor
|
||||
h: 0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5n,
|
||||
h: BigInt(
|
||||
'0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5'
|
||||
),
|
||||
Gx: Fp2.fromBigTuple([
|
||||
0x024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8n,
|
||||
0x13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7en,
|
||||
BigInt(
|
||||
'0x024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8'
|
||||
),
|
||||
BigInt(
|
||||
'0x13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e'
|
||||
),
|
||||
]),
|
||||
// y =
|
||||
// 927553665492332455747201965776037880757740193453592970025027978793976877002675564980949289727957565575433344219582,
|
||||
// 1985150602287291935568054521177171638300868978215655730859378665066344726373823718423869104263333984641494340347905
|
||||
Gy: Fp2.fromBigTuple([
|
||||
0x0ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801n,
|
||||
0x0606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79ben,
|
||||
BigInt(
|
||||
'0x0ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801'
|
||||
),
|
||||
BigInt(
|
||||
'0x0606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be'
|
||||
),
|
||||
]),
|
||||
a: Fp2.ZERO,
|
||||
b: Fp2.fromBigTuple([4n, 4n]),
|
||||
hEff: 0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551n,
|
||||
b: Fp2.fromBigTuple([4n, _4n]),
|
||||
hEff: BigInt(
|
||||
'0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551'
|
||||
),
|
||||
htfDefaults: { ...htfDefaults },
|
||||
wrapPrivateKey: true,
|
||||
allowInfinityPoint: true,
|
||||
@@ -1175,9 +1260,9 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
const x_1 = slc(bytes, 0, L);
|
||||
const x_0 = slc(bytes, L, 2 * L);
|
||||
const x = Fp2.create({ c0: Fp.create(x_0), c1: Fp.create(x_1) });
|
||||
const right = Fp2.add(Fp2.pow(x, 3n), b); // y² = x³ + 4 * (u+1) = x³ + b
|
||||
const right = Fp2.add(Fp2.pow(x, _3n), b); // y² = x³ + 4 * (u+1) = x³ + b
|
||||
let y = Fp2.sqrt(right);
|
||||
const Y_bit = y.c1 === 0n ? (y.c0 * 2n) / P : (y.c1 * 2n) / P ? 1n : 0n;
|
||||
const Y_bit = y.c1 === _0n ? (y.c0 * _2n) / P : (y.c1 * _2n) / P ? _1n : _0n;
|
||||
y = bitS > 0 && Y_bit > 0 ? y : Fp2.neg(y);
|
||||
return { x, y };
|
||||
} else if (bytes.length === 192 && !bitC) {
|
||||
@@ -1200,7 +1285,7 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
if (isCompressed) {
|
||||
const P = Fp.ORDER;
|
||||
if (isZero) return concatB(COMPRESSED_ZERO, numberToBytesBE(0n, Fp.BYTES));
|
||||
const flag = Boolean(y.c1 === 0n ? (y.c0 * 2n) / P : (y.c1 * 2n) / P);
|
||||
const flag = Boolean(y.c1 === _0n ? (y.c0 * _2n) / P : (y.c1 * _2n) / P);
|
||||
// set compressed & sign bits (looks like different offsets than for G1/Fp?)
|
||||
let x_1 = bitSet(x.c1, C_BIT_POS, flag);
|
||||
x_1 = bitSet(x_1, S_BIT_POS, true);
|
||||
@@ -1229,12 +1314,12 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
const z2 = bytesToNumberBE(hex.slice(half));
|
||||
// Indicates the infinity point
|
||||
const bflag1 = bitGet(z1, I_BIT_POS);
|
||||
if (bflag1 === 1n) return bls12_381.G2.ProjectivePoint.ZERO;
|
||||
if (bflag1 === _1n) return bls12_381.G2.ProjectivePoint.ZERO;
|
||||
|
||||
const x1 = Fp.create(z1 & Fp.MASK);
|
||||
const x2 = Fp.create(z2);
|
||||
const x = Fp2.create({ c0: x2, c1: x1 });
|
||||
const y2 = Fp2.add(Fp2.pow(x, 3n), bls12_381.CURVE.G2.b); // y² = x³ + 4
|
||||
const y2 = Fp2.add(Fp2.pow(x, _3n), bls12_381.CURVE.G2.b); // y² = x³ + 4
|
||||
// The slow part
|
||||
let y = Fp2.sqrt(y2);
|
||||
if (!y) throw new Error('Failed to find a square root');
|
||||
@@ -1243,8 +1328,8 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
// If y1 happens to be zero, then use the bit of y0
|
||||
const { re: y0, im: y1 } = Fp2.reim(y);
|
||||
const aflag1 = bitGet(z1, 381);
|
||||
const isGreater = y1 > 0n && (y1 * 2n) / P !== aflag1;
|
||||
const isZero = y1 === 0n && (y0 * 2n) / P !== aflag1;
|
||||
const isGreater = y1 > _0n && (y1 * _2n) / P !== aflag1;
|
||||
const isZero = y1 === _0n && (y0 * _2n) / P !== aflag1;
|
||||
if (isGreater || isZero) y = Fp2.neg(y);
|
||||
const point = bls12_381.G2.ProjectivePoint.fromAffine({ x, y });
|
||||
point.assertValidity();
|
||||
@@ -1258,8 +1343,8 @@ export const bls12_381: CurveFn<Fp, Fp2, Fp6, Fp12> = bls({
|
||||
const a = point.toAffine();
|
||||
const { re: x0, im: x1 } = Fp2.reim(a.x);
|
||||
const { re: y0, im: y1 } = Fp2.reim(a.y);
|
||||
const tmp = y1 > 0n ? y1 * 2n : y0 * 2n;
|
||||
const aflag1 = Boolean((tmp / Fp.ORDER) & 1n);
|
||||
const tmp = y1 > _0n ? y1 * _2n : y0 * _2n;
|
||||
const aflag1 = Boolean((tmp / Fp.ORDER) & _1n);
|
||||
const z1 = bitSet(bitSet(x1, 381, aflag1), S_BIT_POS, true);
|
||||
const z2 = x0;
|
||||
return concatB(numberToBytesBE(z1, Fp.BYTES), numberToBytesBE(z2, Fp.BYTES));
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { weierstrass } from './abstract/weierstrass.js';
|
||||
import { getHash } from './_shortw_utils.js';
|
||||
import { Fp } from './abstract/modular.js';
|
||||
import { Field } from './abstract/modular.js';
|
||||
/**
|
||||
* bn254 pairing-friendly curve.
|
||||
* Previously known as alt_bn_128, when it had 128-bit security.
|
||||
@@ -12,7 +12,7 @@ import { Fp } from './abstract/modular.js';
|
||||
export const bn254 = weierstrass({
|
||||
a: BigInt(0),
|
||||
b: BigInt(3),
|
||||
Fp: Fp(BigInt('0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47')),
|
||||
Fp: Field(BigInt('0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47')),
|
||||
n: BigInt('0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001'),
|
||||
Gx: BigInt(1),
|
||||
Gy: BigInt(2),
|
||||
|
||||
@@ -3,7 +3,7 @@ import { sha512 } from '@noble/hashes/sha512';
|
||||
import { concatBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils';
|
||||
import { twistedEdwards, ExtPointType } from './abstract/edwards.js';
|
||||
import { montgomery } from './abstract/montgomery.js';
|
||||
import { mod, pow2, isNegativeLE, Fp as Field, FpSqrtEven } from './abstract/modular.js';
|
||||
import { mod, pow2, isNegativeLE, Field, FpSqrtEven } from './abstract/modular.js';
|
||||
import {
|
||||
equalBytes,
|
||||
bytesToHex,
|
||||
@@ -204,7 +204,7 @@ function map_to_curve_elligator2_curve25519(u: bigint) {
|
||||
let y = Fp.cmov(y2, y1, e3); // 36. y = CMOV(y2, y1, e3) # If e3, y = y1, else y = y2
|
||||
let e4 = Fp.isOdd(y); // 37. e4 = sgn0(y) == 1 # Fix sign of y
|
||||
y = Fp.cmov(y, Fp.neg(y), e3 !== e4); // 38. y = CMOV(y, -y, e3 XOR e4)
|
||||
return { xMn: xn, xMd: xd, yMn: y, yMd: 1n }; // 39. return (xn, xd, y, 1)
|
||||
return { xMn: xn, xMd: xd, yMn: y, yMd: _1n }; // 39. return (xn, xd, y, 1)
|
||||
}
|
||||
|
||||
const ELL2_C1_EDWARDS = FpSqrtEven(Fp, Fp.neg(BigInt(486664))); // sgn0(c1) MUST equal 0
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
import { shake256 } from '@noble/hashes/sha3';
|
||||
import { concatBytes, randomBytes, utf8ToBytes, wrapConstructor } from '@noble/hashes/utils';
|
||||
import { twistedEdwards } from './abstract/edwards.js';
|
||||
import { mod, pow2, Fp as Field } from './abstract/modular.js';
|
||||
import { mod, pow2, Field } from './abstract/modular.js';
|
||||
import { montgomery } from './abstract/montgomery.js';
|
||||
import * as htf from './abstract/hash-to-curve.js';
|
||||
|
||||
@@ -54,6 +54,7 @@ function adjustScalarBytes(bytes: Uint8Array): Uint8Array {
|
||||
}
|
||||
|
||||
const Fp = Field(ed448P, 456, true);
|
||||
const _4n = BigInt(4);
|
||||
|
||||
const ED448_DEF = {
|
||||
// Param: a
|
||||
@@ -195,10 +196,10 @@ function map_to_curve_elligator2_edwards448(u: bigint) {
|
||||
xEn = Fp.mul(xEn, xd2); // 9. xEn = xEn * xd2
|
||||
xEn = Fp.mul(xEn, yd); // 10. xEn = xEn * yd
|
||||
xEn = Fp.mul(xEn, yn); // 11. xEn = xEn * yn
|
||||
xEn = Fp.mul(xEn, 4n); // 12. xEn = xEn * 4
|
||||
xEn = Fp.mul(xEn, _4n); // 12. xEn = xEn * 4
|
||||
tv2 = Fp.mul(tv2, xn2); // 13. tv2 = tv2 * xn2
|
||||
tv2 = Fp.mul(tv2, yd2); // 14. tv2 = tv2 * yd2
|
||||
let tv3 = Fp.mul(yn2, 4n); // 15. tv3 = 4 * yn2
|
||||
let tv3 = Fp.mul(yn2, _4n); // 15. tv3 = 4 * yn2
|
||||
let tv1 = Fp.add(tv3, yd2); // 16. tv1 = tv3 + yd2
|
||||
tv1 = Fp.mul(tv1, xd4); // 17. tv1 = tv1 * xd4
|
||||
let xEd = Fp.add(tv1, tv2); // 18. xEd = tv1 + tv2
|
||||
|
||||
@@ -3,7 +3,7 @@ import { sha512 } from '@noble/hashes/sha512';
|
||||
import { concatBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils';
|
||||
import { twistedEdwards } from './abstract/edwards.js';
|
||||
import { blake2s } from '@noble/hashes/blake2s';
|
||||
import { Fp } from './abstract/modular.js';
|
||||
import { Field } from './abstract/modular.js';
|
||||
|
||||
/**
|
||||
* jubjub Twisted Edwards curve.
|
||||
@@ -17,7 +17,7 @@ export const jubjub = twistedEdwards({
|
||||
d: BigInt('0x2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1'),
|
||||
// Finite field 𝔽p over which we'll do calculations
|
||||
// Same value as bls12-381 Fr (not Fp)
|
||||
Fp: Fp(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001')),
|
||||
Fp: Field(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001')),
|
||||
// Subgroup order: how many points curve has
|
||||
n: BigInt('0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7'),
|
||||
// Cofactor
|
||||
|
||||
@@ -1,7 +1,7 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { Fp as Field } from './abstract/modular.js';
|
||||
import { Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import * as htf from './abstract/hash-to-curve.js';
|
||||
|
||||
|
||||
@@ -1,7 +1,7 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha384 } from '@noble/hashes/sha512';
|
||||
import { Fp as Field } from './abstract/modular.js';
|
||||
import { Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import * as htf from './abstract/hash-to-curve.js';
|
||||
|
||||
|
||||
@@ -1,7 +1,7 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { createCurve } from './_shortw_utils.js';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { Fp as Field } from './abstract/modular.js';
|
||||
import { Field } from './abstract/modular.js';
|
||||
import { mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import * as htf from './abstract/hash-to-curve.js';
|
||||
|
||||
|
||||
@@ -11,7 +11,7 @@ export const q = BigInt('0x40000000000000000000000000000000224698fc0994a8dd8c46e
|
||||
export const pallas = weierstrass({
|
||||
a: BigInt(0),
|
||||
b: BigInt(5),
|
||||
Fp: mod.Fp(p),
|
||||
Fp: mod.Field(p),
|
||||
n: q,
|
||||
Gx: mod.mod(BigInt(-1), p),
|
||||
Gy: BigInt(2),
|
||||
@@ -22,7 +22,7 @@ export const pallas = weierstrass({
|
||||
export const vesta = weierstrass({
|
||||
a: BigInt(0),
|
||||
b: BigInt(5),
|
||||
Fp: mod.Fp(q),
|
||||
Fp: mod.Field(q),
|
||||
n: p,
|
||||
Gx: mod.mod(BigInt(-1), q),
|
||||
Gy: BigInt(2),
|
||||
|
||||
@@ -1,7 +1,7 @@
|
||||
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { randomBytes } from '@noble/hashes/utils';
|
||||
import { Fp as Field, mod, pow2 } from './abstract/modular.js';
|
||||
import { Field, mod, pow2 } from './abstract/modular.js';
|
||||
import { ProjPointType as PointType, mapToCurveSimpleSWU } from './abstract/weierstrass.js';
|
||||
import type { Hex, PrivKey } from './abstract/utils.js';
|
||||
import { bytesToNumberBE, concatBytes, ensureBytes, numberToBytesBE } from './abstract/utils.js';
|
||||
@@ -43,7 +43,6 @@ function sqrtMod(y: bigint): bigint {
|
||||
}
|
||||
|
||||
const Fp = Field(secp256k1P, undefined, undefined, { sqrt: sqrtMod });
|
||||
type Fp = bigint;
|
||||
|
||||
export const secp256k1 = createCurve(
|
||||
{
|
||||
@@ -132,7 +131,7 @@ function lift_x(x: bigint): PointType<bigint> {
|
||||
const xx = modP(x * x);
|
||||
const c = modP(xx * x + BigInt(7)); // Let c = x³ + 7 mod p.
|
||||
let y = sqrtMod(c); // Let y = c^(p+1)/4 mod p.
|
||||
if (y % 2n !== 0n) y = modP(-y); // Return the unique point P such that x(P) = x and
|
||||
if (y % _2n !== _0n) y = modP(-y); // Return the unique point P such that x(P) = x and
|
||||
const p = new Point(x, y, _1n); // y(P) = y if y mod 2 = 0 or y(P) = p-y otherwise.
|
||||
p.assertValidity();
|
||||
return p;
|
||||
@@ -245,7 +244,7 @@ const isoMap = htf.isogenyMap(
|
||||
'0x6484aa716545ca2cf3a70c3fa8fe337e0a3d21162f0d6299a7bf8192bfd2a76f',
|
||||
'0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1
|
||||
],
|
||||
].map((i) => i.map((j) => BigInt(j))) as [Fp[], Fp[], Fp[], Fp[]]
|
||||
].map((i) => i.map((j) => BigInt(j))) as [bigint[], bigint[], bigint[], bigint[]]
|
||||
);
|
||||
const mapSWU = mapToCurveSimpleSWU(Fp, {
|
||||
A: BigInt('0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533'),
|
||||
|
||||
341
src/stark.ts
341
src/stark.ts
@@ -1,341 +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 * as u from './abstract/utils.js';
|
||||
import type { Hex } 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 = u.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 u.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 = u.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 u.ensureBytes('', typeof hex === 'string' ? hex0xToBytes(hex) : hex);
|
||||
}
|
||||
|
||||
function normPrivKey(privKey: Hex): string {
|
||||
return u.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 = u.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${num.toString(16)}`;
|
||||
}
|
||||
|
||||
// seed generation
|
||||
export function grindKey(seed: Hex) {
|
||||
const _seed = ensureBytes(seed);
|
||||
const sha256mask = 2n ** 256n;
|
||||
const limit = sha256mask - mod(sha256mask, CURVE_ORDER);
|
||||
for (let i = 0; ; i++) {
|
||||
const key = sha256Num(u.concatBytes(_seed, u.numberToVarBytesBE(BigInt(i))));
|
||||
if (key < limit) return mod(key, CURVE_ORDER).toString(16); // key should be in [0, limit)
|
||||
if (i === 100000) throw new Error('grindKey is broken: tried 100k vals'); // prevent dos
|
||||
}
|
||||
}
|
||||
|
||||
export function getStarkKey(privateKey: Hex): string {
|
||||
return extractX(getPublicKey(privateKey, true));
|
||||
}
|
||||
|
||||
export function ethSigToPrivate(signature: string): string {
|
||||
signature = strip0x(signature);
|
||||
if (signature.length !== 130) throw new Error('Wrong ethereum signature');
|
||||
return grindKey(signature.substring(0, 64));
|
||||
}
|
||||
|
||||
const MASK_31 = 2n ** 31n - 1n;
|
||||
const int31 = (n: bigint) => Number(n & MASK_31);
|
||||
export function getAccountPath(
|
||||
layer: string,
|
||||
application: string,
|
||||
ethereumAddress: string,
|
||||
index: number
|
||||
): string {
|
||||
const layerNum = int31(sha256Num(layer));
|
||||
const applicationNum = int31(sha256Num(application));
|
||||
const eth = u.hexToNumber(strip0x(ethereumAddress));
|
||||
return `m/2645'/${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 = u.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.equals(point)) 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 = u.bitMask(250);
|
||||
export const keccak = (data: Uint8Array): bigint => u.bytesToNumberBE(keccak_256(data)) & MASK_250;
|
||||
const sha256Num = (data: Uint8Array | string): bigint => u.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 type PoseidonFn = ReturnType<typeof poseidon> & {
|
||||
m: number;
|
||||
rate: number;
|
||||
capacity: number;
|
||||
};
|
||||
|
||||
export function poseidonBasic(opts: PoseidonOpts, mds: bigint[][]): PoseidonFn {
|
||||
validateField(opts.Fp);
|
||||
if (!Number.isSafeInteger(opts.rate) || !Number.isSafeInteger(opts.capacity))
|
||||
throw new Error(`Wrong poseidon opts: ${opts}`);
|
||||
const m = opts.rate + opts.capacity;
|
||||
const rounds = opts.roundsFull + opts.roundsPartial;
|
||||
const roundConstants = [];
|
||||
for (let i = 0; i < rounds; i++) {
|
||||
const row = [];
|
||||
for (let j = 0; j < m; j++) row.push(poseidonRoundConstant(opts.Fp, 'Hades', m * i + j));
|
||||
roundConstants.push(row);
|
||||
}
|
||||
const res: Partial<PoseidonFn> = poseidon({
|
||||
...opts,
|
||||
t: m,
|
||||
sboxPower: 3,
|
||||
reversePartialPowIdx: true, // Why?!
|
||||
mds,
|
||||
roundConstants,
|
||||
});
|
||||
res.m = m;
|
||||
res.rate = opts.rate;
|
||||
res.capacity = opts.capacity;
|
||||
return res as PoseidonFn;
|
||||
}
|
||||
|
||||
export function poseidonCreate(opts: PoseidonOpts, mdsAttempt = 0) {
|
||||
const m = opts.rate + opts.capacity;
|
||||
if (!Number.isSafeInteger(mdsAttempt)) throw new Error(`Wrong mdsAttempt=${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): bigint {
|
||||
return fn([x, y, 2n])[0];
|
||||
}
|
||||
|
||||
export function poseidonHashFunc(x: Uint8Array, y: Uint8Array, fn = poseidonSmall): Uint8Array {
|
||||
return u.numberToVarBytesBE(poseidonHash(u.bytesToNumberBE(x), u.bytesToNumberBE(y), fn));
|
||||
}
|
||||
|
||||
export function poseidonHashSingle(x: bigint, fn = poseidonSmall): bigint {
|
||||
return fn([x, 0n, 1n])[0];
|
||||
}
|
||||
|
||||
export function poseidonHashMany(values: bigint[], fn = poseidonSmall): bigint {
|
||||
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: bigint[] = 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];
|
||||
}
|
||||
@@ -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 { Field as 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
103
test/_poseidon.helpers.js
Normal 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 { Field as 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];
|
||||
}
|
||||
@@ -1,21 +1,20 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should, describe } from 'micro-should';
|
||||
import * as fc from 'fast-check';
|
||||
import * as mod from '../abstract/modular.js';
|
||||
import { bytesToHex as toHex } from '../abstract/utils.js';
|
||||
import * as mod from '../esm/abstract/modular.js';
|
||||
import { bytesToHex as toHex } from '../esm/abstract/utils.js';
|
||||
// Generic tests for all curves in package
|
||||
import { secp192r1, secp224r1 } from './_more-curves.helpers.js';
|
||||
import { secp256r1 } from '../p256.js';
|
||||
import { secp384r1 } from '../p384.js';
|
||||
import { secp521r1 } from '../p521.js';
|
||||
import { secp256k1 } from '../secp256k1.js';
|
||||
import { ed25519, ed25519ctx, ed25519ph, x25519 } from '../ed25519.js';
|
||||
import { ed448, ed448ph } from '../ed448.js';
|
||||
import { _starkCurve as starkCurve } from '../stark.js';
|
||||
import { pallas, vesta } from '../pasta.js';
|
||||
import { bn254 } from '../bn.js';
|
||||
import { jubjub } from '../jubjub.js';
|
||||
import { bls12_381 } from '../bls12-381.js';
|
||||
import { secp256r1 } from '../esm/p256.js';
|
||||
import { secp384r1 } from '../esm/p384.js';
|
||||
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 { pallas, vesta } from '../esm/pasta.js';
|
||||
import { bn254 } from '../esm/bn.js';
|
||||
import { jubjub } from '../esm/jubjub.js';
|
||||
import { bls12_381 } from '../esm/bls12-381.js';
|
||||
|
||||
// Fields tests
|
||||
const FIELDS = {
|
||||
@@ -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,
|
||||
@@ -556,6 +553,7 @@ for (const name in CURVES) {
|
||||
});
|
||||
}
|
||||
describe(name, () => {
|
||||
if (['bn254', 'pallas', 'vesta'].includes(name)) return;
|
||||
// Generic complex things (getPublicKey/sign/verify/getSharedSecret)
|
||||
should('.getPublicKey() type check', () => {
|
||||
throws(() => C.getPublicKey(0), '0');
|
||||
|
||||
@@ -2,10 +2,10 @@ import { deepStrictEqual, notDeepStrictEqual, throws } from 'assert';
|
||||
import * as fc from 'fast-check';
|
||||
import { readFileSync } from 'fs';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { wNAF } from '../abstract/curve.js';
|
||||
import { bytesToHex, utf8ToBytes } from '../abstract/utils.js';
|
||||
import { hash_to_field } from '../abstract/hash-to-curve.js';
|
||||
import { bls12_381 as bls } from '../bls12-381.js';
|
||||
import { wNAF } from '../esm/abstract/curve.js';
|
||||
import { bytesToHex, utf8ToBytes } from '../esm/abstract/utils.js';
|
||||
import { hash_to_field } from '../esm/abstract/hash-to-curve.js';
|
||||
import { bls12_381 as bls } from '../esm/bls12-381.js';
|
||||
|
||||
import zkVectors from './bls12-381/zkcrypto/converted.json' assert { type: 'json' };
|
||||
import pairingVectors from './bls12-381/go_pairing_vectors/pairing.json' assert { type: 'json' };
|
||||
|
||||
@@ -2,9 +2,9 @@ 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 { bytesToNumberLE, numberToBytesLE } from '../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 '../ed25519.js';
|
||||
import { ed25519ctx, ed25519ph, RistrettoPoint, x25519 } from '../esm/ed25519.js';
|
||||
|
||||
// const ed = ed25519;
|
||||
const hex = bytesToHex;
|
||||
|
||||
@@ -1 +1 @@
|
||||
export { ed25519, ED25519_TORSION_SUBGROUP } from '../ed25519.js';
|
||||
export { ed25519, ED25519_TORSION_SUBGROUP } from '../esm/ed25519.js';
|
||||
|
||||
@@ -1,9 +1,9 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import * as fc from 'fast-check';
|
||||
import { ed448, ed448ph, x448 } from '../ed448.js';
|
||||
import { ed448, ed448ph, x448 } from '../esm/ed448.js';
|
||||
import { hexToBytes, bytesToHex, randomBytes } from '@noble/hashes/utils';
|
||||
import { numberToBytesLE } from '../abstract/utils.js';
|
||||
import { numberToBytesLE } from '../esm/abstract/utils.js';
|
||||
import { default as ed448vectors } from './wycheproof/ed448_test.json' assert { type: 'json' };
|
||||
import { default as x448vectors } from './wycheproof/x448_test.json' assert { type: 'json' };
|
||||
|
||||
|
||||
@@ -5,15 +5,15 @@ import { bytesToHex } from '@noble/hashes/utils';
|
||||
import { sha256 } from '@noble/hashes/sha256';
|
||||
import { sha512 } from '@noble/hashes/sha512';
|
||||
import { shake128, shake256 } from '@noble/hashes/sha3';
|
||||
import * as secp256r1 from '../p256.js';
|
||||
import * as secp384r1 from '../p384.js';
|
||||
import * as secp521r1 from '../p521.js';
|
||||
import * as ed25519 from '../ed25519.js';
|
||||
import * as ed448 from '../ed448.js';
|
||||
import * as secp256k1 from '../secp256k1.js';
|
||||
import { bls12_381 } from '../bls12-381.js';
|
||||
import { expand_message_xmd, expand_message_xof } from '../abstract/hash-to-curve.js';
|
||||
import { utf8ToBytes } from '../abstract/utils.js';
|
||||
import * as secp256r1 from '../esm/p256.js';
|
||||
import * as secp384r1 from '../esm/p384.js';
|
||||
import * as secp521r1 from '../esm/p521.js';
|
||||
import * as ed25519 from '../esm/ed25519.js';
|
||||
import * as ed448 from '../esm/ed448.js';
|
||||
import * as secp256k1 from '../esm/secp256k1.js';
|
||||
import { bls12_381 } from '../esm/bls12-381.js';
|
||||
import { expand_message_xmd, expand_message_xof } from '../esm/abstract/hash-to-curve.js';
|
||||
import { utf8ToBytes } from '../esm/abstract/utils.js';
|
||||
// XMD
|
||||
import { default as xmd_sha256_38 } from './hash-to-curve/expand_message_xmd_SHA256_38.json' assert { type: 'json' };
|
||||
import { default as xmd_sha256_256 } from './hash-to-curve/expand_message_xmd_SHA256_256.json' assert { type: 'json' };
|
||||
|
||||
@@ -7,9 +7,9 @@ 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';
|
||||
import './poseidon.test.js';
|
||||
import './bls12-381.test.js';
|
||||
|
||||
should.run();
|
||||
|
||||
@@ -1,4 +1,4 @@
|
||||
import { jubjub, findGroupHash } from '../jubjub.js';
|
||||
import { jubjub, findGroupHash } from '../esm/jubjub.js';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
const Point = jubjub.ExtendedPoint;
|
||||
|
||||
@@ -1,11 +1,11 @@
|
||||
import { deepStrictEqual } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import { secp192r1, secp224r1, P192, P224 } from './_more-curves.helpers.js';
|
||||
import { secp256r1, P256 } from '../p256.js';
|
||||
import { secp384r1, P384 } from '../p384.js';
|
||||
import { secp521r1, P521 } from '../p521.js';
|
||||
import { secp256k1 } from '../secp256k1.js';
|
||||
import { hexToBytes, bytesToHex } from '../abstract/utils.js';
|
||||
import { secp256r1, P256 } from '../esm/p256.js';
|
||||
import { secp384r1, P384 } from '../esm/p384.js';
|
||||
import { secp521r1, P521 } from '../esm/p521.js';
|
||||
import { secp256k1 } from '../esm/secp256k1.js';
|
||||
import { hexToBytes, bytesToHex } from '../esm/abstract/utils.js';
|
||||
import { default as ecdsa } from './wycheproof/ecdsa_test.json' assert { type: 'json' };
|
||||
import { default as ecdh } from './wycheproof/ecdh_test.json' assert { type: 'json' };
|
||||
import { default as rfc6979 } from './fixtures/rfc6979.json' assert { type: 'json' };
|
||||
|
||||
@@ -1,8 +1,8 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { should, describe } from 'micro-should';
|
||||
import * as poseidon from '../abstract/poseidon.js';
|
||||
import * as stark from '../stark.js';
|
||||
import * as mod from '../abstract/modular.js';
|
||||
import * as poseidon from '../esm/abstract/poseidon.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;
|
||||
|
||||
@@ -132,7 +132,9 @@ describe('Stark', () => {
|
||||
// Official vectors: https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt
|
||||
|
||||
should('poseidonperm_x5_255_3', () => {
|
||||
const Fp = mod.Fp(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001'));
|
||||
const Fp = mod.Field(
|
||||
BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001')
|
||||
);
|
||||
|
||||
const mds = [
|
||||
[
|
||||
@@ -179,7 +181,7 @@ should('poseidonperm_x5_255_3', () => {
|
||||
});
|
||||
|
||||
should('poseidonperm_x5_255_5', () => {
|
||||
const Fp = mod.Fp(0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001n);
|
||||
const Fp = mod.Field(0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001n);
|
||||
const t = 5;
|
||||
|
||||
const mds = [
|
||||
@@ -250,7 +252,7 @@ should('poseidonperm_x5_255_5', () => {
|
||||
});
|
||||
|
||||
should('poseidonperm_x5_254_3', () => {
|
||||
const Fp = mod.Fp(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
|
||||
const Fp = mod.Field(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
|
||||
const t = 3;
|
||||
|
||||
const mds = [
|
||||
@@ -297,7 +299,7 @@ should('poseidonperm_x5_254_3', () => {
|
||||
});
|
||||
|
||||
should('poseidonperm_x5_254_5', () => {
|
||||
const Fp = mod.Fp(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
|
||||
const Fp = mod.Field(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
|
||||
const t = 5;
|
||||
|
||||
const mds = [
|
||||
|
||||
@@ -2,7 +2,7 @@ import { deepStrictEqual, throws } from 'assert';
|
||||
import { readFileSync } from 'fs';
|
||||
import { should, describe } from 'micro-should';
|
||||
import { bytesToHex as hex } from '@noble/hashes/utils';
|
||||
import { schnorr } from '../secp256k1.js';
|
||||
import { schnorr } from '../esm/secp256k1.js';
|
||||
const schCsv = readFileSync('./test/vectors/schnorr.csv', 'utf-8');
|
||||
|
||||
describe('schnorr.sign()', () => {
|
||||
|
||||
@@ -1,8 +1,8 @@
|
||||
// @ts-ignore
|
||||
export { secp256k1 as secp } from '../secp256k1.js';
|
||||
import { secp256k1 as _secp } from '../secp256k1.js';
|
||||
export { bytesToNumberBE, numberToBytesBE } from '../abstract/utils.js';
|
||||
export { mod } from '../abstract/modular.js';
|
||||
export { secp256k1 as secp } from '../esm/secp256k1.js';
|
||||
import { secp256k1 as _secp } from '../esm/secp256k1.js';
|
||||
export { bytesToNumberBE, numberToBytesBE } from '../esm/abstract/utils.js';
|
||||
export { mod } from '../esm/abstract/modular.js';
|
||||
export const sigFromDER = (der) => {
|
||||
return _secp.Signature.fromDER(der);
|
||||
};
|
||||
|
||||
@@ -1,201 +0,0 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import * as starknet from '../../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();
|
||||
}
|
||||
@@ -1,57 +0,0 @@
|
||||
import * as microStark from '../../../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();
|
||||
@@ -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
@@ -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"
|
||||
}
|
||||
@@ -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"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -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();
|
||||
}
|
||||
@@ -1,205 +0,0 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import * as starknet from '../../stark.js';
|
||||
import { bytesToHex as hex } from '@noble/hashes/utils';
|
||||
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,
|
||||
]);
|
||||
});
|
||||
|
||||
should('Poseidon 2', () => {
|
||||
// Cross-test with cairo-lang 0.11
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHash(1n, 1n),
|
||||
315729444126170353286530004158376771769107830460625027134495740547491428733n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHash(123n, 123n),
|
||||
3149184350054566761517315875549307360045573205732410509163060794402900549639n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHash(1231231231231231231231231312312n, 1231231231231231231231231312312n),
|
||||
2544250291965936388474000136445328679708604225006461780180655815882994563864n
|
||||
);
|
||||
// poseidonHashSingle
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashSingle(1n),
|
||||
3085182978037364507644541379307921604860861694664657935759708330416374536741n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashSingle(123n),
|
||||
2751345659320901472675327541550911744303539407817894466726181731796247467344n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashSingle(1231231231231231231231231312312n),
|
||||
3083085683696942145160394401206391098729120397175152900096470498748103599322n
|
||||
);
|
||||
// poseidonHashMany
|
||||
throws(() => starknet.poseidonHash(new Uint8Array([1, 2, 3])));
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n]),
|
||||
154809849725474173771833689306955346864791482278938452209165301614543497938n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n]),
|
||||
1557996165160500454210437319447297236715335099509187222888255133199463084263n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n]),
|
||||
976552833909388839716191681593200982850734838655927116322079791360264131378n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n, 5n, 6n, 7n]),
|
||||
1426681430756292883765769449684978541173830451959857824597431064948702170774n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n, 5n, 6n]),
|
||||
3578895185591466904832617962452140411216018208734547126302182794057260630783n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n, 5n]),
|
||||
2047942584693618630610564708884241243670450597197937863619828684896211911953n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n, 4n]),
|
||||
717812721730784692894550948559585317289413466140233907962980309405694367376n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([1n, 2n, 3n, 4n, 5n, 6n, 7n, 8n, 9n, 1n, 2n, 3n]),
|
||||
2926122208425648133778911655767364584769133265503722614793281770361723147648n
|
||||
);
|
||||
deepStrictEqual(
|
||||
starknet.poseidonHashMany([
|
||||
154809849725474173771833689306955346864791482278938452209165301614543497938n,
|
||||
1557996165160500454210437319447297236715335099509187222888255133199463084263n,
|
||||
976552833909388839716191681593200982850734838655927116322079791360264131378n,
|
||||
1426681430756292883765769449684978541173830451959857824597431064948702170774n,
|
||||
3578895185591466904832617962452140411216018208734547126302182794057260630783n,
|
||||
]),
|
||||
1019392520709073131437410341528874594624843119359955302374885123884546721410n
|
||||
);
|
||||
// poseidon_hash_func
|
||||
deepStrictEqual(
|
||||
hex(starknet.poseidonHashFunc(new Uint8Array([1, 2]), new Uint8Array([3, 4]))),
|
||||
'01f87cbb9c58139605384d0f0df49b446600af020aa9dac92301d45c96d78c0a'
|
||||
);
|
||||
deepStrictEqual(
|
||||
hex(starknet.poseidonHashFunc(new Uint8Array(32).fill(255), new Uint8Array(32).fill(255))),
|
||||
'05fd546b5ee3bcbbcbb733ed90bfc33033169d6765ac37bba71794a11cbb51a6'
|
||||
);
|
||||
deepStrictEqual(
|
||||
hex(starknet.poseidonHashFunc(new Uint8Array(64).fill(255), new Uint8Array(64).fill(255))),
|
||||
'07dba6b4d94b3e32697afe0825d6dac2dccafd439f7806a9575693c93735596b'
|
||||
);
|
||||
deepStrictEqual(
|
||||
hex(starknet.poseidonHashFunc(new Uint8Array(256).fill(255), new Uint8Array(256).fill(255))),
|
||||
'02f048581901865201dad701a5653d946b961748ec770fc11139aa7c06a9432a'
|
||||
);
|
||||
});
|
||||
|
||||
// ESM is broken.
|
||||
import url from 'url';
|
||||
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
||||
should.run();
|
||||
}
|
||||
@@ -1,201 +0,0 @@
|
||||
Apache License
|
||||
Version 2.0, January 2004
|
||||
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@@ -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]
|
||||
```
|
||||
@@ -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,
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|
||||
2893807105405820282316438050347503569385510241526138409321358916388308586443,
|
||||
1379719211597875648759619903854862028510320482486109668868067715175935658353,
|
||||
2702780364788282233075255946852944970202849869091427738791947810055591218061,
|
||||
],
|
||||
[
|
||||
1825815734419326277729273926504439575157952821379179501821641713286627304656,
|
||||
1481344458867016048625916723816339719872443766684158199301690902395849166360,
|
||||
2014084774259125722186109781197998076881266739680534358898592778318128968629,
|
||||
2612744185006548312909661512508122065214170543806989291921289897662387203493,
|
||||
2486291022451231582267428921150634472835925206862678364689227838329114330247,
|
||||
],
|
||||
]
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1,53 +0,0 @@
|
||||
import { deepStrictEqual, throws } from 'assert';
|
||||
import { describe, should } from 'micro-should';
|
||||
import * as starknet from '../../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();
|
||||
}
|
||||
@@ -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 '../../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();
|
||||
}
|
||||
20
tsconfig.esm.json
Normal file
20
tsconfig.esm.json
Normal file
@@ -0,0 +1,20 @@
|
||||
{
|
||||
"compilerOptions": {
|
||||
"strict": true,
|
||||
"outDir": "esm",
|
||||
"target": "es2020",
|
||||
"module": "es6",
|
||||
"moduleResolution": "node16",
|
||||
"noUnusedLocals": true,
|
||||
"sourceMap": true,
|
||||
"baseUrl": ".",
|
||||
"paths": {
|
||||
"@noble/hashes/crypto": [ "src/crypto" ]
|
||||
},
|
||||
},
|
||||
"include": ["src"],
|
||||
"exclude": [
|
||||
"node_modules",
|
||||
"lib",
|
||||
],
|
||||
}
|
||||
@@ -7,8 +7,8 @@
|
||||
"outDir": ".",
|
||||
"target": "es2020",
|
||||
"lib": ["es2020"], // Set explicitly to remove DOM
|
||||
"module": "es6",
|
||||
"moduleResolution": "node16",
|
||||
"module": "commonjs",
|
||||
"moduleResolution": "node",
|
||||
"noUnusedLocals": true,
|
||||
"baseUrl": ".",
|
||||
},
|
||||
@@ -17,4 +17,4 @@
|
||||
"node_modules",
|
||||
"*.d.ts"
|
||||
],
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user