/** * 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, } from "./abstract/edwards.js"; import { Field, mod } from "./abstract/modular.js"; import { weierstrass } from "./abstract/weierstrass.js"; import { bls12_381_Fr } from "./bls12-381.js"; import { bn254_Fr } from "./bn254.js"; // 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 = { 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 = /* @__PURE__ */ twistedEdwards({ ...jubjub_CURVE, Fp: bls12_381_Fr, hash: sha512, }); const babyjubjub_CURVE = { 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 = /* @__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, personalization) { 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, personalization) { 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('0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001'); export const pasta_q = BigInt('0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001'); /** * @deprecated */ export const pallas = 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 = 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, }); //# sourceMappingURL=misc.js.map