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• [DIR] ..
• [FILE] _shortw_utils.ts
• [DIR] abstract
• [FILE] bls12-381.ts
• [FILE] bn254.ts
• [FILE] ed25519.ts
• [FILE] ed448.ts
• [FILE] index.ts
• [FILE] jubjub.ts
• [FILE] misc.ts
• [FILE] nist.ts
• [FILE] p256.ts
• [FILE] p384.ts
• [FILE] p521.ts
• [FILE] package.json
• [FILE] pasta.ts
• [FILE] secp256k1.ts
• [FILE] utils.ts

Просмотр файла: misc.ts

/**
 * Miscellaneous, rarely used curves.
 * jubjub, babyjubjub, pallas, vesta.
 * @module
 */
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
import { blake256 } from '@noble/hashes/blake1.js';
import { blake2s } from '@noble/hashes/blake2.js';
import { sha256, sha512 } from '@noble/hashes/sha2.js';
import { concatBytes, utf8ToBytes } from '@noble/hashes/utils.js';
import {
  twistedEdwards,
  type CurveFn,
  type EdwardsOpts,
  type EdwardsPoint,
} from './abstract/edwards.ts';
import { Field, mod } from './abstract/modular.ts';
import { weierstrass, type CurveFn as WCurveFn } from './abstract/weierstrass.ts';
import { bls12_381_Fr } from './bls12-381.ts';
import { bn254_Fr } from './bn254.ts';

// Jubjub curves have 𝔽p over scalar fields of other curves. They are friendly to ZK proofs.
// jubjub Fp = bls n. babyjubjub Fp = bn254 n.
// verify manually, check bls12-381.ts and bn254.ts.
const jubjub_CURVE: EdwardsOpts = {
  p: bls12_381_Fr.ORDER,
  n: BigInt('0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7'),
  h: BigInt(8),
  a: BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000000'),
  d: BigInt('0x2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1'),
  Gx: BigInt('0x11dafe5d23e1218086a365b99fbf3d3be72f6afd7d1f72623e6b071492d1122b'),
  Gy: BigInt('0x1d523cf1ddab1a1793132e78c866c0c33e26ba5cc220fed7cc3f870e59d292aa'),
};
/** Curve over scalar field of bls12-381. jubjub Fp = bls n */
export const jubjub: CurveFn = /* @__PURE__ */ twistedEdwards({
  ...jubjub_CURVE,
  Fp: bls12_381_Fr,
  hash: sha512,
});

const babyjubjub_CURVE: EdwardsOpts = {
  p: bn254_Fr.ORDER,
  n: BigInt('0x30644e72e131a029b85045b68181585d59f76dc1c90770533b94bee1c9093788'),
  h: BigInt(8),
  a: BigInt('168700'),
  d: BigInt('168696'),
  Gx: BigInt('0x23343e3445b673d38bcba38f25645adb494b1255b1162bb40f41a59f4d4b45e'),
  Gy: BigInt('0xc19139cb84c680a6e14116da06056174a0cfa121e6e5c2450f87d64fc000001'),
};
/** Curve over scalar field of bn254. babyjubjub Fp = bn254 n */
export const babyjubjub: CurveFn = /* @__PURE__ */ twistedEdwards({
  ...babyjubjub_CURVE,
  Fp: bn254_Fr,
  hash: blake256,
});

const jubjub_gh_first_block = utf8ToBytes(
  '096b36a5804bfacef1691e173c366a47ff5ba84a44f26ddd7e8d9f79d5b42df0'
);

// Returns point at JubJub curve which is prime order and not zero
export function jubjub_groupHash(tag: Uint8Array, personalization: Uint8Array): EdwardsPoint {
  const h = blake2s.create({ personalization, dkLen: 32 });
  h.update(jubjub_gh_first_block);
  h.update(tag);
  // NOTE: returns ExtendedPoint, in case it will be multiplied later
  let p = jubjub.Point.fromBytes(h.digest());
  // NOTE: cannot replace with isSmallOrder, returns Point*8
  p = p.multiply(jubjub_CURVE.h);
  if (p.equals(jubjub.Point.ZERO)) throw new Error('Point has small order');
  return p;
}

// No secret data is leaked here at all.
// It operates over public data:
// const G_SPEND = jubjub.findGroupHash(Uint8Array.of(), utf8ToBytes('Item_G_'));
export function jubjub_findGroupHash(m: Uint8Array, personalization: Uint8Array): EdwardsPoint {
  const tag = concatBytes(m, Uint8Array.of(0));
  const hashes = [];
  for (let i = 0; i < 256; i++) {
    tag[tag.length - 1] = i;
    try {
      hashes.push(jubjub_groupHash(tag, personalization));
    } catch (e) {}
  }
  if (!hashes.length) throw new Error('findGroupHash tag overflow');
  return hashes[0];
}

// Pasta curves. See [Spec](https://o1-labs.github.io/proof-systems/specs/pasta.html).

export const pasta_p: bigint = BigInt(
  '0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001'
);
export const pasta_q: bigint = BigInt(
  '0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001'
);

/**
 * @deprecated
 */
export const pallas: WCurveFn = weierstrass({
  a: BigInt(0),
  b: BigInt(5),
  Fp: Field(pasta_p),
  n: pasta_q,
  Gx: mod(BigInt(-1), pasta_p),
  Gy: BigInt(2),
  h: BigInt(1),
  hash: sha256,
});
/**
 * @deprecated
 */
export const vesta: WCurveFn = weierstrass({
  a: BigInt(0),
  b: BigInt(5),
  Fp: Field(pasta_q),
  n: pasta_p,
  Gx: mod(BigInt(-1), pasta_q),
  Gy: BigInt(2),
  h: BigInt(1),
  hash: sha256,
});

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