stark: switch to new weierstrass methods

This commit is contained in:
Paul Miller 2023-01-23 22:07:21 +00:00
parent a2c87f9c2f
commit ceb3f67faa
No known key found for this signature in database
GPG Key ID: 697079DA6878B89B
2 changed files with 292 additions and 284 deletions

@ -16,6 +16,15 @@ const CURVE_N = BigInt(
'3618502788666131213697322783095070105526743751716087489154079457884512865583' '3618502788666131213697322783095070105526743751716087489154079457884512865583'
); );
const nBitLength = 252; const nBitLength = 252;
// Copy-pasted from weierstrass.ts
function bits2int(bytes: Uint8Array): bigint {
const delta = bytes.length * 8 - nBitLength;
const num = cutils.bytesToNumberBE(bytes);
return delta > 0 ? num >> BigInt(delta) : num;
}
function bits2int_modN(bytes: Uint8Array): bigint {
return mod(bits2int(bytes), CURVE_N);
}
export const starkCurve = weierstrass({ export const starkCurve = weierstrass({
// Params: a, b // Params: a, b
a: BigInt(1), a: BigInt(1),
@ -33,24 +42,20 @@ export const starkCurve = weierstrass({
// Default options // Default options
lowS: false, lowS: false,
...getHash(sha256), ...getHash(sha256),
truncateHash: (hash: Uint8Array, truncateOnly = false): Uint8Array => { // Custom truncation routines for stark curve
// Fix truncation bits2int: (bytes: Uint8Array): bigint => {
if (!truncateOnly) { while (bytes[0] === 0) bytes = bytes.subarray(1);
let hashS = bytesToNumber0x(hash).toString(16); return bits2int(bytes);
},
bits2int_modN: (bytes: Uint8Array): bigint => {
let hashS = cutils.bytesToNumberBE(bytes).toString(16);
if (hashS.length === 63) { if (hashS.length === 63) {
hashS += '0'; hashS += '0';
hash = hexToBytes0x(hashS); bytes = hexToBytes0x(hashS);
}
} }
// Truncate zero bytes on left (compat with elliptic) // Truncate zero bytes on left (compat with elliptic)
while (hash[0] === 0) hash = hash.subarray(1); while (bytes[0] === 0) bytes = bytes.subarray(1);
// bits2int + part of bits2octets (mod if !truncateOnly) return bits2int_modN(bytes);
const byteLength = hash.length;
const delta = byteLength * 8 - nBitLength; // size of curve.n (252 bits)
let h = hash.length ? bytesToNumber0x(hash) : 0n;
if (delta > 0) h = h >> BigInt(delta); // truncate to nBitLength leftmost bits
if (!truncateOnly) h = mod(h, CURVE_N);
return cutils.numberToVarBytesBE(h);
}, },
}); });
@ -134,7 +139,7 @@ type Hex = Uint8Array | string;
function hashKeyWithIndex(key: Uint8Array, index: number) { function hashKeyWithIndex(key: Uint8Array, index: number) {
let indexHex = cutils.numberToHexUnpadded(index); let indexHex = cutils.numberToHexUnpadded(index);
if (indexHex.length & 1) indexHex = '0' + indexHex; if (indexHex.length & 1) indexHex = '0' + indexHex;
return bytesToNumber0x(sha256(cutils.concatBytes(key, hexToBytes0x(indexHex)))); return sha256Num(cutils.concatBytes(key, hexToBytes0x(indexHex)));
} }
export function grindKey(seed: Hex) { export function grindKey(seed: Hex) {
@ -167,8 +172,8 @@ export function getAccountPath(
ethereumAddress: string, ethereumAddress: string,
index: number index: number
) { ) {
const layerNum = int31(bytesToNumber0x(sha256(layer))); const layerNum = int31(sha256Num(layer));
const applicationNum = int31(bytesToNumber0x(sha256(application))); const applicationNum = int31(sha256Num(application));
const eth = hexToNumber0x(ethereumAddress); const eth = hexToNumber0x(ethereumAddress);
return `m/2645'/${layerNum}'/${applicationNum}'/${int31(eth)}'/${int31(eth >> 31n)}'/${index}`; return `m/2645'/${layerNum}'/${applicationNum}'/${int31(eth)}'/${int31(eth >> 31n)}'/${index}`;
} }
@ -264,7 +269,8 @@ export const computeHashOnElements = (data: PedersenArg[], fn = pedersen) =>
[0, ...data, data.length].reduce((x, y) => fn(x, y)); [0, ...data, data.length].reduce((x, y) => fn(x, y));
const MASK_250 = cutils.bitMask(250); const MASK_250 = cutils.bitMask(250);
export const keccak = (data: Uint8Array) => bytesToNumber0x(keccak_256(data)) & MASK_250; export const keccak = (data: Uint8Array): bigint => bytesToNumber0x(keccak_256(data)) & MASK_250;
const sha256Num = (data: Uint8Array | string): bigint => cutils.bytesToNumberBE(sha256(data));
// Poseidon hash // Poseidon hash
export const Fp253 = Fp( export const Fp253 = Fp(

@ -1,5 +1,5 @@
import { deepStrictEqual, throws } from 'assert'; import { deepStrictEqual, throws } from 'assert';
import { should } from 'micro-should'; import { describe, should } from 'micro-should';
import { hex, utf8 } from '@scure/base'; import { hex, utf8 } from '@scure/base';
import * as bip32 from '@scure/bip32'; import * as bip32 from '@scure/bip32';
import * as bip39 from '@scure/bip39'; import * as bip39 from '@scure/bip39';
@ -7,22 +7,23 @@ import * as starknet from '../../lib/esm/stark.js';
import { default as sigVec } from './fixtures/rfc6979_signature_test_vector.json' assert { type: 'json' }; 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' }; import { default as precomputedKeys } from './fixtures/keys_precomputed.json' assert { type: 'json' };
should('Starknet keccak', () => { describe('starknet', () => {
should('custom keccak', () => {
const value = starknet.keccak(utf8.decode('hello')); const value = starknet.keccak(utf8.decode('hello'));
deepStrictEqual(value, 0x8aff950685c2ed4bc3174f3472287b56d9517b9c948127319a09a7a36deac8n); deepStrictEqual(value, 0x8aff950685c2ed4bc3174f3472287b56d9517b9c948127319a09a7a36deac8n);
deepStrictEqual(value < 2n ** 250n, true); deepStrictEqual(value < 2n ** 250n, true);
}); });
should('RFC6979', () => { should('RFC6979', () => {
for (const msg of sigVec.messages) { for (const msg of sigVec.messages) {
const { r, s } = starknet.sign(msg.hash, sigVec.private_key); const { r, s } = starknet.sign(msg.hash, sigVec.private_key);
// const { r, s } = starknet.Signature.fromDER(sig); // const { r, s } = starknet.Signature.fromDER(sig);
deepStrictEqual(r.toString(10), msg.r); deepStrictEqual(r.toString(10), msg.r);
deepStrictEqual(s.toString(10), msg.s); deepStrictEqual(s.toString(10), msg.s);
} }
}); });
should('Signatures', () => { should('Signatures', () => {
const vectors = [ const vectors = [
{ {
// Message hash of length 61. // Message hash of length 61.
@ -59,9 +60,9 @@ should('Signatures', () => {
deepStrictEqual(s.toString(16), v.s, 's equality'); deepStrictEqual(s.toString(16), v.s, 's equality');
deepStrictEqual(starknet.verify(sig, v.msg, publicKey), true, 'verify'); deepStrictEqual(starknet.verify(sig, v.msg, publicKey), true, 'verify');
} }
}); });
should('Invalid signatures', () => { should('Invalid signatures', () => {
/* /*
it('should not verify invalid signature inputs lengths', () => { it('should not verify invalid signature inputs lengths', () => {
@ -155,11 +156,11 @@ should('Invalid signatures', () => {
starkwareCrypto.verify(keyPairPub, msgHash.toString(16), msgSignature) starkwareCrypto.verify(keyPairPub, msgHash.toString(16), msgSignature)
).to.be.false; ).to.be.false;
}); });
}); });
*/ */
}); });
should('Pedersen', () => { should('Pedersen', () => {
deepStrictEqual( deepStrictEqual(
starknet.pedersen( starknet.pedersen(
'0x3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb', '0x3d937c035c878245caf64531a5756109c53068da139362728feb561405371cb',
@ -174,13 +175,13 @@ should('Pedersen', () => {
), ),
'0x68cc0b76cddd1dd4ed2301ada9b7c872b23875d5ff837b3a87993e0d9996b87' '0x68cc0b76cddd1dd4ed2301ada9b7c872b23875d5ff837b3a87993e0d9996b87'
); );
}); });
should('Hash chain', () => { should('Hash chain', () => {
deepStrictEqual(starknet.hashChain([1, 2, 3]), starknet.pedersen(1, starknet.pedersen(2, 3))); deepStrictEqual(starknet.hashChain([1, 2, 3]), starknet.pedersen(1, starknet.pedersen(2, 3)));
}); });
should('Key grinding', () => { should('Key grinding', () => {
deepStrictEqual( deepStrictEqual(
starknet.grindKey('86F3E7293141F20A8BAFF320E8EE4ACCB9D4A4BF2B4D295E8CEE784DB46E0519'), starknet.grindKey('86F3E7293141F20A8BAFF320E8EE4ACCB9D4A4BF2B4D295E8CEE784DB46E0519'),
'5c8c8683596c732541a59e03007b2d30dbbbb873556fe65b5fb63c16688f941' '5c8c8683596c732541a59e03007b2d30dbbbb873556fe65b5fb63c16688f941'
@ -190,9 +191,9 @@ should('Key grinding', () => {
starknet.grindKey('94F3E7293141F20A8BAFF320E8EE4ACCB9D4A4BF2B4D295E8CEE784DB46E0595'), starknet.grindKey('94F3E7293141F20A8BAFF320E8EE4ACCB9D4A4BF2B4D295E8CEE784DB46E0595'),
'33880b9aba464c1c01c9f8f5b4fc1134698f9b0a8d18505cab6cdd34d93dc02' '33880b9aba464c1c01c9f8f5b4fc1134698f9b0a8d18505cab6cdd34d93dc02'
); );
}); });
should('Private to stark key', () => { should('Private to stark key', () => {
deepStrictEqual( deepStrictEqual(
starknet.getStarkKey('0x178047D3869489C055D7EA54C014FFB834A069C9595186ABE04EA4D1223A03F'), starknet.getStarkKey('0x178047D3869489C055D7EA54C014FFB834A069C9595186ABE04EA4D1223A03F'),
'0x1895a6a77ae14e7987b9cb51329a5adfb17bd8e7c638f92d6892d76e51cebcf' '0x1895a6a77ae14e7987b9cb51329a5adfb17bd8e7c638f92d6892d76e51cebcf'
@ -200,9 +201,9 @@ should('Private to stark key', () => {
for (const [privKey, expectedPubKey] of Object.entries(precomputedKeys)) { for (const [privKey, expectedPubKey] of Object.entries(precomputedKeys)) {
deepStrictEqual(starknet.getStarkKey(privKey), expectedPubKey); deepStrictEqual(starknet.getStarkKey(privKey), expectedPubKey);
} }
}); });
should('Private stark key from eth signature', () => { should('Private stark key from eth signature', () => {
const ethSignature = const ethSignature =
'0x21fbf0696d5e0aa2ef41a2b4ffb623bcaf070461d61cf7251c74161f82fec3a43' + '0x21fbf0696d5e0aa2ef41a2b4ffb623bcaf070461d61cf7251c74161f82fec3a43' +
'70854bc0a34b3ab487c1bc021cd318c734c51ae29374f2beb0e6f2dd49b4bf41c'; '70854bc0a34b3ab487c1bc021cd318c734c51ae29374f2beb0e6f2dd49b4bf41c';
@ -210,9 +211,9 @@ should('Private stark key from eth signature', () => {
starknet.ethSigToPrivate(ethSignature), starknet.ethSigToPrivate(ethSignature),
'766f11e90cd7c7b43085b56da35c781f8c067ac0d578eabdceebc4886435bda' '766f11e90cd7c7b43085b56da35c781f8c067ac0d578eabdceebc4886435bda'
); );
}); });
should('Key derivation', () => { should('Key derivation', () => {
const layer = 'starkex'; const layer = 'starkex';
const application = 'starkdeployement'; const application = 'starkdeployement';
const mnemonic = const mnemonic =
@ -242,10 +243,10 @@ should('Key derivation', () => {
deepStrictEqual(realPath, path); deepStrictEqual(realPath, path);
deepStrictEqual(starknet.grindKey(hd.derive(realPath).privateKey), privateKey); deepStrictEqual(starknet.grindKey(hd.derive(realPath).privateKey), privateKey);
} }
}); });
// Verified against starknet.js // Verified against starknet.js
should('Starknet.js cross-tests', () => { should('Starknet.js cross-tests', () => {
const privateKey = '0x019800ea6a9a73f94aee6a3d2edf018fc770443e90c7ba121e8303ec6b349279'; const privateKey = '0x019800ea6a9a73f94aee6a3d2edf018fc770443e90c7ba121e8303ec6b349279';
// NOTE: there is no compressed keys here, getPubKey returns stark-key (which is schnorr-like X coordinate) // 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 // But it is not used in signing/verifying
@ -277,6 +278,7 @@ should('Starknet.js cross-tests', () => {
2440689354481625417078677634625227600823892606910345662891037256374285369343n 2440689354481625417078677634625227600823892606910345662891037256374285369343n
); );
deepStrictEqual(starknet.verify(sig2.toDERHex(), hashMsg2, pubKey), true); deepStrictEqual(starknet.verify(sig2.toDERHex(), hashMsg2, pubKey), true);
});
}); });
// ESM is broken. // ESM is broken.