forked from tornado-packages/noble-curves
317 lines
13 KiB
JavaScript
317 lines
13 KiB
JavaScript
import { deepStrictEqual, throws } from 'assert';
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import { should } 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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// 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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// 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(${comment})`);
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} else throw new Error('Different point types');
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}
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for (const name in CURVES) {
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const C = CURVES[name];
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const CURVE_ORDER = C.CURVE.n;
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const FC_BIGINT = fc.bigInt(1n + 1n, CURVE_ORDER - 1n);
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// Check that curve doesn't accept points from other curves
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const O = name === 'secp256k1' ? secp256r1 : secp256k1;
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const POINTS = {};
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const OTHER_POINTS = {};
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for (const name of ['Point', 'ProjectivePoint', 'ExtendedPoint', 'ProjectivePoint']) {
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POINTS[name] = C[name];
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OTHER_POINTS[name] = O[name];
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}
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for (const pointName in POINTS) {
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const p = POINTS[pointName];
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const o = OTHER_POINTS[pointName];
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if (!p) continue;
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const G = [p.ZERO, p.BASE];
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for (let i = 2; i < 10; i++) G.push(G[1].multiply(i));
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// Here we check basic group laws, to verify that points works as group
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should(`${name}/${pointName}/Basic group laws (zero)`, () => {
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equal(G[0].double(), G[0], '(0*G).double() = 0');
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equal(G[0].add(G[0]), G[0], '0*G + 0*G = 0');
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equal(G[0].subtract(G[0]), G[0], '0*G - 0*G = 0');
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equal(G[0].negate(), G[0], '-0 = 0');
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for (let i = 0; i < G.length; i++) {
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const p = G[i];
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equal(p, p.add(G[0]), `${i}*G + 0 = ${i}*G`);
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equal(G[0].multiply(i + 1), G[0], `${i + 1}*0 = 0`);
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}
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});
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should(`${name}/${pointName}/Basic group laws (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(`${name}/${pointName}/Basic group laws (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(`${name}/${pointName}/Basic group laws (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(`${name}/${pointName}/Basic group laws (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(`${name}/${pointName}/Basic group laws (multiply)`, () => {
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equal(G[2].multiply(3), G[6], '(2*G).multiply(3) = 6*G');
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});
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should(`${name}/${pointName}/Basic group laws (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(`${name}/${pointName}/Basic group laws (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(`${name}/${pointName}/Basic group laws (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(`${name}/${pointName}/Basic group laws (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(`${name}/${pointName}/Basic group laws (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);
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const pB = G[1].multiply(b);
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const pC = G[1].multiply(c);
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equal(pA.add(pB), pB.add(pA), `pA + pB = pB + pA`);
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equal(pA.add(pB), pC, `pA + pB = pC`);
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}),
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{ numRuns: NUM_RUNS }
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)
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);
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should(`${name}/${pointName}/Basic group laws (multiply2, 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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const pA = G[1].multiply(a);
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const pB = G[1].multiply(b);
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equal(pA.multiply(b), pB.multiply(a), `b*pA = a*pB`);
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equal(pA.multiply(b), G[1].multiply(c), `b*pA = c*G`);
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}),
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{ numRuns: NUM_RUNS }
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)
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);
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for (const op of ['add', 'subtract']) {
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should(`${name}/${pointName}/${op} type check`, () => {
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throws(() => G[1][op](0), '0');
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throws(() => G[1][op](0n), '0n');
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G[1][op](G[2]);
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throws(() => G[1][op](CURVE_ORDER), 'CURVE_ORDER');
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throws(() => G[1][op](123.456), '123.456');
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throws(() => G[1][op](true), 'true');
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throws(() => G[1][op]('1'), "'1'");
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throws(() => G[1][op]({ x: 1n, y: 1n, z: 1n, t: 1n }), '{ x: 1n, y: 1n, z: 1n, t: 1n }');
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throws(() => G[1][op](new Uint8Array([])), 'ui8a([])');
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throws(() => G[1][op](new Uint8Array([0])), 'ui8a([0])');
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throws(() => G[1][op](new Uint8Array([1])), 'ui8a([1])');
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throws(() => G[1][op](new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])');
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if (G[1].toAffine) throws(() => G[1][op](C.Point.BASE), `Point ${op} ${pointName}`);
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throws(() => G[1][op](o.BASE), `${op}/other curve point`);
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});
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}
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should(`${name}/${pointName}/equals type check`, () => {
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throws(() => G[1].equals(0), '0');
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throws(() => G[1].equals(0n), '0n');
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deepStrictEqual(G[1].equals(G[2]), false, '1*G != 2*G');
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deepStrictEqual(G[1].equals(G[1]), true, '1*G == 1*G');
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deepStrictEqual(G[2].equals(G[2]), true, '2*G == 2*G');
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throws(() => G[1].equals(CURVE_ORDER), 'CURVE_ORDER');
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throws(() => G[1].equals(123.456), '123.456');
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throws(() => G[1].equals(true), 'true');
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throws(() => G[1].equals('1'), "'1'");
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throws(() => G[1].equals({ x: 1n, y: 1n, z: 1n, t: 1n }), '{ x: 1n, y: 1n, z: 1n, t: 1n }');
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throws(() => G[1].equals(new Uint8Array([])), 'ui8a([])');
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throws(() => G[1].equals(new Uint8Array([0])), 'ui8a([0])');
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throws(() => G[1].equals(new Uint8Array([1])), 'ui8a([1])');
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throws(() => G[1].equals(new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])');
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if (G[1].toAffine) throws(() => G[1].equals(C.Point.BASE), `Point.equals(${pointName})`);
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throws(() => G[1].equals(o.BASE), 'other curve point');
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});
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for (const op of ['multiply', 'multiplyUnsafe']) {
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if (!p.BASE[op]) continue;
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should(`${name}/${pointName}/${op} type check`, () => {
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if (op !== 'multiplyUnsafe') {
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throws(() => G[1][op](0), '0');
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throws(() => G[1][op](0n), '0n');
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}
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G[1][op](1n);
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G[1][op](CURVE_ORDER - 1n);
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throws(() => G[1][op](G[2]), 'G[2]');
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throws(() => G[1][op](CURVE_ORDER), 'CURVE_ORDER');
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throws(() => G[1][op](CURVE_ORDER + 1n), 'CURVE_ORDER+1');
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throws(() => G[1][op](123.456), '123.456');
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throws(() => G[1][op](true), 'true');
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throws(() => G[1][op]('1'), '1');
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throws(() => G[1][op](new Uint8Array([])), 'ui8a([])');
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throws(() => G[1][op](new Uint8Array([0])), 'ui8a([0])');
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throws(() => G[1][op](new Uint8Array([1])), 'ui8a([1])');
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throws(() => G[1][op](new Uint8Array(4096).fill(1)), 'ui8a(4096*[1])');
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throws(() => G[1][op](o.BASE), 'other curve point');
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});
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}
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// Complex point (Extended/Jacobian/Projective?)
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if (p.BASE.toAffine) {
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should(`${name}/${pointName}/toAffine()`, () => {
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equal(p.ZERO.toAffine(), C.Point.ZERO, `0 = 0`);
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equal(p.BASE.toAffine(), C.Point.BASE, `1 = 1`);
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});
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}
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if (p.fromAffine) {
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should(`${name}/${pointName}/fromAffine()`, () => {
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equal(p.ZERO, p.fromAffine(C.Point.ZERO), `0 = 0`);
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equal(p.BASE, p.fromAffine(C.Point.BASE), `1 = 1`);
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});
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}
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// toHex/fromHex (if available)
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if (p.fromHex && p.BASE.toHex) {
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should(`${name}/${pointName}/fromHex(toHex()) roundtrip`, () => {
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fc.assert(
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fc.property(FC_BIGINT, (x) => {
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const hex = p.BASE.multiply(x).toHex();
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deepStrictEqual(p.fromHex(hex).toHex(), hex);
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})
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);
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});
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}
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}
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// Generic complex things (getPublicKey/sign/verify/getSharedSecret)
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should(`${name}/getPublicKey type check`, () => {
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throws(() => C.getPublicKey(0), '0');
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throws(() => C.getPublicKey(0n), '0n');
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throws(() => C.getPublicKey(false), 'false');
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throws(() => C.getPublicKey(123.456), '123.456');
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throws(() => C.getPublicKey(true), 'true');
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throws(() => C.getPublicKey(''), "''");
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// NOTE: passes because of disabled hex padding checks for starknet, maybe enable?
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//throws(() => C.getPublicKey('1'), "'1'");
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throws(() => C.getPublicKey('key'), "'key'");
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throws(() => C.getPublicKey(new Uint8Array([])));
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throws(() => C.getPublicKey(new Uint8Array([0])));
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throws(() => C.getPublicKey(new Uint8Array([1])));
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throws(() => C.getPublicKey(new Uint8Array(4096).fill(1)));
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});
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should(`${name}.verify()/should verify random signatures`, () =>
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fc.assert(
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fc.property(fc.hexaString({ minLength: 64, maxLength: 64 }), (msg) => {
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const priv = C.utils.randomPrivateKey();
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const pub = C.getPublicKey(priv);
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const sig = C.sign(msg, priv);
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deepStrictEqual(C.verify(sig, msg, pub), true);
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}),
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{ numRuns: NUM_RUNS }
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)
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);
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should(`${name}.sign()/edge cases`, () => {
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throws(() => C.sign());
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throws(() => C.sign(''));
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});
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should(`${name}.verify()/should not verify signature with wrong hash`, () => {
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const MSG = '01'.repeat(32);
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const PRIV_KEY = 0x2n;
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const WRONG_MSG = '11'.repeat(32);
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const signature = C.sign(MSG, PRIV_KEY);
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const publicKey = C.getPublicKey(PRIV_KEY);
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deepStrictEqual(C.verify(signature, WRONG_MSG, publicKey), false);
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});
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// NOTE: fails for ed, because of empty message. Since we convert it to scalar,
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// need to check what other implementations do. Empty message != new Uint8Array([0]), but what scalar should be in that case?
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// should(`${name}/should not verify signature with wrong message`, () => {
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// fc.assert(
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// fc.property(
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// fc.array(fc.integer({ min: 0x00, max: 0xff })),
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// fc.array(fc.integer({ min: 0x00, max: 0xff })),
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// (bytes, wrongBytes) => {
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// const privKey = C.utils.randomPrivateKey();
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// const message = new Uint8Array(bytes);
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// const wrongMessage = new Uint8Array(wrongBytes);
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// const publicKey = C.getPublicKey(privKey);
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// const signature = C.sign(message, privKey);
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// deepStrictEqual(
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// C.verify(signature, wrongMessage, publicKey),
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// bytes.toString() === wrongBytes.toString()
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// );
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// }
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// ),
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// { numRuns: NUM_RUNS }
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// );
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// });
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if (C.getSharedSecret) {
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should(`${name}/getSharedSecret() should be commutative`, () => {
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for (let i = 0; i < NUM_RUNS; i++) {
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const asec = C.utils.randomPrivateKey();
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const apub = C.getPublicKey(asec);
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const bsec = C.utils.randomPrivateKey();
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const bpub = C.getPublicKey(bsec);
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try {
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deepStrictEqual(C.getSharedSecret(asec, bpub), C.getSharedSecret(bsec, apub));
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} catch (error) {
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console.error('not commutative', { asec, apub, bsec, bpub });
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throw error;
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}
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}
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});
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}
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}
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// ESM is broken.
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import url from 'url';
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if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
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should.run();
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}
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