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Просмотр файла: misc.js
/**
* 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,
});
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