forked from tornado-packages/noble-curves
632 lines
23 KiB
JavaScript
632 lines
23 KiB
JavaScript
import { deepStrictEqual, throws } from 'assert';
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import { should, describe } from 'micro-should';
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import * as fc from 'fast-check';
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import * as mod from '../lib/esm/abstract/modular.js';
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import { bytesToHex as toHex } from '../lib/esm/abstract/utils.js';
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// Generic tests for all curves in package
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import { secp192r1 } from '../lib/esm/p192.js';
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import { secp224r1 } from '../lib/esm/p224.js';
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import { secp256r1 } from '../lib/esm/p256.js';
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import { secp384r1 } from '../lib/esm/p384.js';
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import { secp521r1 } from '../lib/esm/p521.js';
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import { secp256k1 } from '../lib/esm/secp256k1.js';
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import { ed25519, ed25519ctx, ed25519ph } from '../lib/esm/ed25519.js';
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import { ed448, ed448ph } from '../lib/esm/ed448.js';
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import { starkCurve } from '../lib/esm/stark.js';
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import { pallas, vesta } from '../lib/esm/pasta.js';
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import { bn254 } from '../lib/esm/bn.js';
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import { jubjub } from '../lib/esm/jubjub.js';
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import { bls12_381 } from '../lib/esm/bls12-381.js';
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// Fields tests
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const FIELDS = {
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secp192r1: { Fp: [secp192r1.CURVE.Fp] },
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secp224r1: { Fp: [secp224r1.CURVE.Fp] },
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secp256r1: { Fp: [secp256r1.CURVE.Fp] },
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secp521r1: { Fp: [secp521r1.CURVE.Fp] },
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secp256k1: { Fp: [secp256k1.CURVE.Fp] },
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stark: { Fp: [starkCurve.CURVE.Fp] },
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jubjub: { Fp: [jubjub.CURVE.Fp] },
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ed25519: { Fp: [ed25519.CURVE.Fp] },
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ed448: { Fp: [ed448.CURVE.Fp] },
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bn254: { Fp: [bn254.CURVE.Fp] },
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pallas: { Fp: [pallas.CURVE.Fp] },
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vesta: { Fp: [vesta.CURVE.Fp] },
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bls12: {
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Fp: [bls12_381.CURVE.Fp],
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Fp2: [
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bls12_381.CURVE.Fp2,
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fc.array(fc.bigInt(1n, bls12_381.CURVE.Fp.ORDER - 1n), {
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minLength: 2,
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maxLength: 2,
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}),
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(Fp2, num) => Fp2.fromBigTuple([num[0], num[1]]),
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],
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// Fp6: [bls12_381.CURVE.Fp6],
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Fp12: [
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bls12_381.CURVE.Fp12,
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fc.array(fc.bigInt(1n, bls12_381.CURVE.Fp.ORDER - 1n), {
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minLength: 12,
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maxLength: 12,
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}),
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(Fp12, num) => Fp12.fromBigTwelve(num),
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],
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},
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};
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for (const c in FIELDS) {
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const curve = FIELDS[c];
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for (const f in curve) {
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const Fp = curve[f][0];
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const name = `${c}/${f}:`;
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const FC_BIGINT = curve[f][1] ? curve[f][1] : fc.bigInt(1n, Fp.ORDER - 1n);
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const create = curve[f][2] ? curve[f][2].bind(null, Fp) : (num) => Fp.create(num);
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describe(name, () => {
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should('equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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const b = create(num);
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deepStrictEqual(Fp.equals(a, b), true);
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deepStrictEqual(Fp.equals(b, a), true);
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})
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);
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});
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should('non-equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, (num1, num2) => {
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const a = create(num1);
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const b = create(num2);
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deepStrictEqual(Fp.equals(a, b), num1 === num2);
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deepStrictEqual(Fp.equals(b, a), num1 === num2);
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})
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);
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});
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should('add/subtract/commutativity', () => {
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, (num1, num2) => {
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const a = create(num1);
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const b = create(num2);
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deepStrictEqual(Fp.add(a, b), Fp.add(b, a));
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})
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);
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});
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should('add/subtract/associativity', () => {
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, FC_BIGINT, (num1, num2, num3) => {
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const a = create(num1);
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const b = create(num2);
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const c = create(num3);
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deepStrictEqual(Fp.add(a, Fp.add(b, c)), Fp.add(Fp.add(a, b), c));
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})
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);
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});
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should('add/subtract/x+0=x', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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deepStrictEqual(Fp.add(a, Fp.ZERO), a);
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})
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);
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});
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should('add/subtract/x-0=x', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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deepStrictEqual(Fp.sub(a, Fp.ZERO), a);
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deepStrictEqual(Fp.sub(a, a), Fp.ZERO);
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})
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);
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});
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should('add/subtract/negate equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num1) => {
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const a = create(num1);
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const b = create(num1);
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deepStrictEqual(Fp.sub(Fp.ZERO, a), Fp.negate(a));
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deepStrictEqual(Fp.sub(a, b), Fp.add(a, Fp.negate(b)));
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deepStrictEqual(Fp.sub(a, b), Fp.add(a, Fp.mul(b, Fp.create(-1n))));
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})
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);
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});
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should('add/subtract/negate', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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deepStrictEqual(Fp.negate(a), Fp.sub(Fp.ZERO, a));
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deepStrictEqual(Fp.negate(a), Fp.mul(a, Fp.create(-1n)));
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})
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);
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});
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should('negate(0)', () => {
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deepStrictEqual(Fp.negate(Fp.ZERO), Fp.ZERO);
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});
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should('multiply/commutativity', () => {
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, (num1, num2) => {
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const a = create(num1);
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const b = create(num2);
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deepStrictEqual(Fp.mul(a, b), Fp.mul(b, a));
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})
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);
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});
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should('multiply/associativity', () => {
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, FC_BIGINT, (num1, num2, num3) => {
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const a = create(num1);
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const b = create(num2);
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const c = create(num3);
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deepStrictEqual(Fp.mul(a, Fp.mul(b, c)), Fp.mul(Fp.mul(a, b), c));
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})
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);
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});
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should('multiply/distributivity', () => {
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, FC_BIGINT, (num1, num2, num3) => {
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const a = create(num1);
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const b = create(num2);
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const c = create(num3);
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deepStrictEqual(Fp.mul(a, Fp.add(b, c)), Fp.add(Fp.mul(b, a), Fp.mul(c, a)));
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})
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);
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});
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should('multiply/add equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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deepStrictEqual(Fp.mul(a, 0n), Fp.ZERO);
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deepStrictEqual(Fp.mul(a, Fp.ZERO), Fp.ZERO);
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deepStrictEqual(Fp.mul(a, 1n), a);
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deepStrictEqual(Fp.mul(a, Fp.ONE), a);
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deepStrictEqual(Fp.mul(a, 2n), Fp.add(a, a));
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deepStrictEqual(Fp.mul(a, 3n), Fp.add(Fp.add(a, a), a));
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deepStrictEqual(Fp.mul(a, 4n), Fp.add(Fp.add(Fp.add(a, a), a), a));
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})
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);
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});
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should('multiply/square equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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deepStrictEqual(Fp.square(a), Fp.mul(a, a));
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})
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);
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});
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should('multiply/pow equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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deepStrictEqual(Fp.pow(a, 0n), Fp.ONE);
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deepStrictEqual(Fp.pow(a, 1n), a);
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deepStrictEqual(Fp.pow(a, 2n), Fp.mul(a, a));
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deepStrictEqual(Fp.pow(a, 3n), Fp.mul(Fp.mul(a, a), a));
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})
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);
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});
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should('square(0)', () => {
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deepStrictEqual(Fp.square(Fp.ZERO), Fp.ZERO);
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deepStrictEqual(Fp.mul(Fp.ZERO, Fp.ZERO), Fp.ZERO);
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});
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should('square(1)', () => {
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deepStrictEqual(Fp.square(Fp.ONE), Fp.ONE);
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deepStrictEqual(Fp.mul(Fp.ONE, Fp.ONE), Fp.ONE);
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});
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should('square(-1)', () => {
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const minus1 = Fp.negate(Fp.ONE);
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deepStrictEqual(Fp.square(minus1), Fp.ONE);
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deepStrictEqual(Fp.mul(minus1, minus1), Fp.ONE);
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});
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const isSquare = mod.FpIsSquare(Fp);
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// Not implemented
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if (Fp !== bls12_381.CURVE.Fp12) {
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should('multiply/sqrt', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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let root;
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try {
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root = Fp.sqrt(a);
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} catch (e) {
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deepStrictEqual(isSquare(a), false);
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return;
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}
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deepStrictEqual(isSquare(a), true);
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deepStrictEqual(Fp.equals(Fp.square(root), a), true, 'sqrt(a)^2 == a');
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deepStrictEqual(Fp.equals(Fp.square(Fp.negate(root)), a), true, '(-sqrt(a))^2 == a');
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})
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);
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});
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should('sqrt(0)', () => {
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deepStrictEqual(Fp.sqrt(Fp.ZERO), Fp.ZERO);
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const sqrt1 = Fp.sqrt(Fp.ONE);
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deepStrictEqual(
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Fp.equals(sqrt1, Fp.ONE) || Fp.equals(sqrt1, Fp.negate(Fp.ONE)),
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true,
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'sqrt(1) = 1 or -1'
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);
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});
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}
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should('div/division by one equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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if (Fp.equals(a, Fp.ZERO)) return; // No division by zero
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deepStrictEqual(Fp.div(a, Fp.ONE), a);
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deepStrictEqual(Fp.div(a, a), Fp.ONE);
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})
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);
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});
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should('zero division equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, (num) => {
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const a = create(num);
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deepStrictEqual(Fp.div(Fp.ZERO, a), Fp.ZERO);
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})
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);
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});
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should('div/division distributivity', () => {
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, FC_BIGINT, (num1, num2, num3) => {
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const a = create(num1);
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const b = create(num2);
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const c = create(num3);
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deepStrictEqual(Fp.div(Fp.add(a, b), c), Fp.add(Fp.div(a, c), Fp.div(b, c)));
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})
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);
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});
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should('div/division and multiplication equality', () => {
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, (num1, num2) => {
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const a = create(num1);
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const b = create(num2);
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deepStrictEqual(Fp.div(a, b), Fp.mul(a, Fp.invert(b)));
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})
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);
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});
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});
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}
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}
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// Group tests
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// prettier-ignore
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const CURVES = {
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secp192r1, secp224r1, secp256r1, secp384r1, secp521r1,
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secp256k1,
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ed25519, ed25519ctx, ed25519ph,
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ed448, ed448ph,
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starkCurve,
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pallas, vesta,
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bn254,
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jubjub,
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};
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const NUM_RUNS = 5;
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const getXY = (p) => ({ x: p.x, y: p.y });
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function equal(a, b, comment) {
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deepStrictEqual(a.equals(b), true, 'eq(${comment})');
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if (a.toAffine && b.toAffine) {
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deepStrictEqual(getXY(a.toAffine()), getXY(b.toAffine()), 'eqToAffine(${comment})');
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} else if (!a.toAffine && !b.toAffine) {
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// Already affine
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deepStrictEqual(getXY(a), getXY(b), 'eqAffine(${comment})');
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} else throw new Error('Different point types');
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}
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for (const name in CURVES) {
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const C = CURVES[name];
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const CURVE_ORDER = C.CURVE.n;
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const FC_BIGINT = fc.bigInt(1n + 1n, CURVE_ORDER - 1n);
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// Check that curve doesn't accept points from other curves
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const O = name === 'secp256k1' ? secp256r1 : secp256k1;
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const POINTS = {};
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const OTHER_POINTS = {};
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for (const name of ['Point', 'ProjectivePoint', 'ExtendedPoint', 'ProjectivePoint']) {
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POINTS[name] = C[name];
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OTHER_POINTS[name] = O[name];
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}
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for (const pointName in POINTS) {
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const p = POINTS[pointName];
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const o = OTHER_POINTS[pointName];
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if (!p) continue;
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const G = [p.ZERO, p.BASE];
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for (let i = 2n; i < 10n; i++) G.push(G[1].multiply(i));
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const title = `${name}/${pointName}`;
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describe(title, () => {
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describe('basic group laws', () => {
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// Here we check basic group laws, to verify that points works as group
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should('(zero)', () => {
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equal(G[0].double(), G[0], '(0*G).double() = 0');
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equal(G[0].add(G[0]), G[0], '0*G + 0*G = 0');
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equal(G[0].subtract(G[0]), G[0], '0*G - 0*G = 0');
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equal(G[0].negate(), G[0], '-0 = 0');
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for (let i = 0; i < G.length; i++) {
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const p = G[i];
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equal(p, p.add(G[0]), '${i}*G + 0 = ${i}*G');
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equal(G[0].multiply(BigInt(i + 1)), G[0], '${i + 1}*0 = 0');
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}
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});
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should('(one)', () => {
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equal(G[1].double(), G[2], '(1*G).double() = 2*G');
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equal(G[1].subtract(G[1]), G[0], '1*G - 1*G = 0');
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equal(G[1].add(G[1]), G[2], '1*G + 1*G = 2*G');
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});
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should('(sanity tests)', () => {
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equal(G[2].double(), G[4], '(2*G).double() = 4*G');
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equal(G[2].add(G[2]), G[4], '2*G + 2*G = 4*G');
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equal(G[7].add(G[3].negate()), G[4], '7*G - 3*G = 4*G');
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});
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should('(addition commutativity)', () => {
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equal(G[4].add(G[3]), G[3].add(G[4]), '4*G + 3*G = 3*G + 4*G');
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equal(G[4].add(G[3]), G[3].add(G[2]).add(G[2]), '4*G + 3*G = 3*G + 2*G + 2*G');
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});
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should('(double)', () => {
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equal(G[3].double(), G[6], '(3*G).double() = 6*G');
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});
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should('(multiply)', () => {
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equal(G[2].multiply(3n), G[6], '(2*G).multiply(3) = 6*G');
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});
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should('(same point addition)', () => {
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equal(G[3].add(G[3]), G[6], '3*G + 3*G = 6*G');
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});
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should('(same point (negative) addition)', () => {
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equal(G[3].add(G[3].negate()), G[0], '3*G + (- 3*G) = 0*G');
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equal(G[3].subtract(G[3]), G[0], '3*G - 3*G = 0*G');
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});
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should('(curve order)', () => {
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equal(G[1].multiply(CURVE_ORDER - 1n).add(G[1]), G[0], '(N-1)*G + G = 0');
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equal(G[1].multiply(CURVE_ORDER - 1n).add(G[2]), G[1], '(N-1)*G + 2*G = 1*G');
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equal(G[1].multiply(CURVE_ORDER - 2n).add(G[2]), G[0], '(N-2)*G + 2*G = 0');
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const half = CURVE_ORDER / 2n;
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const carry = CURVE_ORDER % 2n === 1n ? G[1] : G[0];
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equal(G[1].multiply(half).double().add(carry), G[0], '((N/2) * G).double() = 0');
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});
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should('(inversion)', () => {
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const a = 1234n;
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const b = 5678n;
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const c = a * b;
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equal(G[1].multiply(a).multiply(b), G[1].multiply(c), 'a*b*G = c*G');
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const inv = mod.invert(b, CURVE_ORDER);
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equal(G[1].multiply(c).multiply(inv), G[1].multiply(a), 'c*G * (1/b)*G = a*G');
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});
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should('(multiply, rand)', () =>
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fc.assert(
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fc.property(FC_BIGINT, FC_BIGINT, (a, b) => {
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const c = mod.mod(a + b, CURVE_ORDER);
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if (c === CURVE_ORDER || c < 1n) return;
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const pA = G[1].multiply(a);
|
|
const pB = G[1].multiply(b);
|
|
const pC = G[1].multiply(c);
|
|
equal(pA.add(pB), pB.add(pA), 'pA + pB = pB + pA');
|
|
equal(pA.add(pB), pC, 'pA + pB = pC');
|
|
}),
|
|
{ numRuns: NUM_RUNS }
|
|
)
|
|
);
|
|
should('(multiply2, rand)', () =>
|
|
fc.assert(
|
|
fc.property(FC_BIGINT, FC_BIGINT, (a, b) => {
|
|
const c = mod.mod(a * b, CURVE_ORDER);
|
|
const pA = G[1].multiply(a);
|
|
const pB = G[1].multiply(b);
|
|
equal(pA.multiply(b), pB.multiply(a), 'b*pA = a*pB');
|
|
equal(pA.multiply(b), G[1].multiply(c), 'b*pA = c*G');
|
|
}),
|
|
{ numRuns: NUM_RUNS }
|
|
)
|
|
);
|
|
});
|
|
|
|
for (const op of ['add', 'subtract']) {
|
|
describe(op, () => {
|
|
should('type check', () => {
|
|
throws(() => G[1][op](0), '0');
|
|
throws(() => G[1][op](0n), '0n');
|
|
G[1][op](G[2]);
|
|
throws(() => G[1][op](CURVE_ORDER), 'CURVE_ORDER');
|
|
throws(() => G[1][op](123.456), '123.456');
|
|
throws(() => G[1][op](true), 'true');
|
|
throws(() => G[1][op]('1'), "'1'");
|
|
throws(
|
|
() => G[1][op]({ x: 1n, y: 1n, z: 1n, t: 1n }),
|
|
'{ x: 1n, y: 1n, z: 1n, t: 1n }'
|
|
);
|
|
throws(() => G[1][op](new Uint8Array([])), 'ui8a([])');
|
|
throws(() => G[1][op](new Uint8Array([0])), 'ui8a([0])');
|
|
throws(() => G[1][op](new Uint8Array([1])), 'ui8a([1])');
|
|
throws(() => G[1][op](new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])');
|
|
if (G[1].toAffine) throws(() => G[1][op](C.Point.BASE), 'Point ${op} ${pointName}');
|
|
throws(() => G[1][op](o.BASE), '${op}/other curve point');
|
|
});
|
|
});
|
|
}
|
|
|
|
should('equals type check', () => {
|
|
throws(() => G[1].equals(0), '0');
|
|
throws(() => G[1].equals(0n), '0n');
|
|
deepStrictEqual(G[1].equals(G[2]), false, '1*G != 2*G');
|
|
deepStrictEqual(G[1].equals(G[1]), true, '1*G == 1*G');
|
|
deepStrictEqual(G[2].equals(G[2]), true, '2*G == 2*G');
|
|
throws(() => G[1].equals(CURVE_ORDER), 'CURVE_ORDER');
|
|
throws(() => G[1].equals(123.456), '123.456');
|
|
throws(() => G[1].equals(true), 'true');
|
|
throws(() => G[1].equals('1'), "'1'");
|
|
throws(() => G[1].equals({ x: 1n, y: 1n, z: 1n, t: 1n }), '{ x: 1n, y: 1n, z: 1n, t: 1n }');
|
|
throws(() => G[1].equals(new Uint8Array([])), 'ui8a([])');
|
|
throws(() => G[1].equals(new Uint8Array([0])), 'ui8a([0])');
|
|
throws(() => G[1].equals(new Uint8Array([1])), 'ui8a([1])');
|
|
throws(() => G[1].equals(new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])');
|
|
if (G[1].toAffine) throws(() => G[1].equals(C.Point.BASE), 'Point.equals(${pointName})');
|
|
throws(() => G[1].equals(o.BASE), 'other curve point');
|
|
});
|
|
|
|
for (const op of ['multiply', 'multiplyUnsafe']) {
|
|
if (!p.BASE[op]) continue;
|
|
describe(op, () => {
|
|
should('type check', () => {
|
|
if (op !== 'multiplyUnsafe') {
|
|
throws(() => G[1][op](0), '0');
|
|
throws(() => G[1][op](0n), '0n');
|
|
}
|
|
G[1][op](1n);
|
|
G[1][op](CURVE_ORDER - 1n);
|
|
throws(() => G[1][op](G[2]), 'G[2]');
|
|
throws(() => G[1][op](CURVE_ORDER), 'CURVE_ORDER');
|
|
throws(() => G[1][op](CURVE_ORDER + 1n), 'CURVE_ORDER+1');
|
|
throws(() => G[1][op](123.456), '123.456');
|
|
throws(() => G[1][op](true), 'true');
|
|
throws(() => G[1][op]('1'), '1');
|
|
throws(() => G[1][op](new Uint8Array([])), 'ui8a([])');
|
|
throws(() => G[1][op](new Uint8Array([0])), 'ui8a([0])');
|
|
throws(() => G[1][op](new Uint8Array([1])), 'ui8a([1])');
|
|
throws(() => G[1][op](new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])');
|
|
throws(() => G[1][op](o.BASE), 'other curve point');
|
|
});
|
|
});
|
|
}
|
|
// Complex point (Extended/Jacobian/Projective?)
|
|
if (p.BASE.toAffine) {
|
|
should('toAffine()', () => {
|
|
equal(p.ZERO.toAffine(), C.Point.ZERO, '0 = 0');
|
|
equal(p.BASE.toAffine(), C.Point.BASE, '1 = 1');
|
|
});
|
|
}
|
|
if (p.fromAffine) {
|
|
should('fromAffine()', () => {
|
|
equal(p.ZERO, p.fromAffine(C.Point.ZERO), '0 = 0');
|
|
equal(p.BASE, p.fromAffine(C.Point.BASE), '1 = 1');
|
|
});
|
|
}
|
|
// toHex/fromHex (if available)
|
|
if (p.fromHex && p.BASE.toHex) {
|
|
should('fromHex(toHex()) roundtrip', () => {
|
|
fc.assert(
|
|
fc.property(FC_BIGINT, (x) => {
|
|
const hex = p.BASE.multiply(x).toHex();
|
|
deepStrictEqual(p.fromHex(hex).toHex(), hex);
|
|
})
|
|
);
|
|
});
|
|
}
|
|
});
|
|
}
|
|
describe(name, () => {
|
|
// Generic complex things (getPublicKey/sign/verify/getSharedSecret)
|
|
should('getPublicKey type check', () => {
|
|
throws(() => C.getPublicKey(0), '0');
|
|
throws(() => C.getPublicKey(0n), '0n');
|
|
throws(() => C.getPublicKey(false), 'false');
|
|
throws(() => C.getPublicKey(123.456), '123.456');
|
|
throws(() => C.getPublicKey(true), 'true');
|
|
throws(() => C.getPublicKey(''), "''");
|
|
// NOTE: passes because of disabled hex padding checks for starknet, maybe enable?
|
|
//throws(() => C.getPublicKey('1'), "'1'");
|
|
throws(() => C.getPublicKey('key'), "'key'");
|
|
throws(() => C.getPublicKey(new Uint8Array([])));
|
|
throws(() => C.getPublicKey(new Uint8Array([0])));
|
|
throws(() => C.getPublicKey(new Uint8Array([1])));
|
|
throws(() => C.getPublicKey(new Uint8Array(4096).fill(1)));
|
|
});
|
|
should('.verify() should verify random signatures', () =>
|
|
fc.assert(
|
|
fc.property(fc.hexaString({ minLength: 64, maxLength: 64 }), (msg) => {
|
|
const priv = C.utils.randomPrivateKey();
|
|
const pub = C.getPublicKey(priv);
|
|
const sig = C.sign(msg, priv);
|
|
deepStrictEqual(
|
|
C.verify(sig, msg, pub),
|
|
true,
|
|
'priv=${toHex(priv)},pub=${toHex(pub)},msg=${msg}'
|
|
);
|
|
}),
|
|
{ numRuns: NUM_RUNS }
|
|
)
|
|
);
|
|
should('.sign() edge cases', () => {
|
|
throws(() => C.sign());
|
|
throws(() => C.sign(''));
|
|
});
|
|
|
|
should('.verify() should not verify signature with wrong hash', () => {
|
|
const MSG = '01'.repeat(32);
|
|
const PRIV_KEY = 0x2n;
|
|
const WRONG_MSG = '11'.repeat(32);
|
|
const signature = C.sign(MSG, PRIV_KEY);
|
|
const publicKey = C.getPublicKey(PRIV_KEY);
|
|
deepStrictEqual(C.verify(signature, WRONG_MSG, publicKey), false);
|
|
});
|
|
// NOTE: fails for ed, because of empty message. Since we convert it to scalar,
|
|
// need to check what other implementations do. Empty message != new Uint8Array([0]), but what scalar should be in that case?
|
|
// should('should not verify signature with wrong message', () => {
|
|
// fc.assert(
|
|
// fc.property(
|
|
// fc.array(fc.integer({ min: 0x00, max: 0xff })),
|
|
// fc.array(fc.integer({ min: 0x00, max: 0xff })),
|
|
// (bytes, wrongBytes) => {
|
|
// const privKey = C.utils.randomPrivateKey();
|
|
// const message = new Uint8Array(bytes);
|
|
// const wrongMessage = new Uint8Array(wrongBytes);
|
|
// const publicKey = C.getPublicKey(privKey);
|
|
// const signature = C.sign(message, privKey);
|
|
// deepStrictEqual(
|
|
// C.verify(signature, wrongMessage, publicKey),
|
|
// bytes.toString() === wrongBytes.toString()
|
|
// );
|
|
// }
|
|
// ),
|
|
// { numRuns: NUM_RUNS }
|
|
// );
|
|
// });
|
|
|
|
if (C.getSharedSecret) {
|
|
should('getSharedSecret() should be commutative', () => {
|
|
for (let i = 0; i < NUM_RUNS; i++) {
|
|
const asec = C.utils.randomPrivateKey();
|
|
const apub = C.getPublicKey(asec);
|
|
const bsec = C.utils.randomPrivateKey();
|
|
const bpub = C.getPublicKey(bsec);
|
|
try {
|
|
deepStrictEqual(C.getSharedSecret(asec, bpub), C.getSharedSecret(bsec, apub));
|
|
} catch (error) {
|
|
console.error('not commutative', { asec, apub, bsec, bpub });
|
|
throw error;
|
|
}
|
|
}
|
|
});
|
|
}
|
|
});
|
|
}
|
|
|
|
should('secp224k1 sqrt bug', () => {
|
|
const { Fp } = secp224r1.CURVE;
|
|
const sqrtMinus1 = Fp.sqrt(-1n);
|
|
// Verified against sage
|
|
deepStrictEqual(
|
|
sqrtMinus1,
|
|
23621584063597419797792593680131996961517196803742576047493035507225n
|
|
);
|
|
deepStrictEqual(
|
|
Fp.negate(sqrtMinus1),
|
|
3338362603553219996874421406887633712040719456283732096017030791656n
|
|
);
|
|
deepStrictEqual(Fp.square(sqrtMinus1), Fp.create(-1n));
|
|
});
|
|
|
|
// ESM is broken.
|
|
import url from 'url';
|
|
if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
|
|
should.run();
|
|
}
|