js-ecutils
Version:
JavaScript Library for Elliptic Curve Cryptography: key exchanges (Diffie-Hellman, Massey-Omura), ECDSA signatures, and Koblitz encoding. Suitable for crypto education and secure systems.
170 lines (161 loc) • 21.1 kB
JavaScript
"use strict";
var _globals = require("@jest/globals");
var _registry = require("./curves/registry");
var _curve = require("./core/curve");
var _point = require("./core/point");
// ---------------------------------------------------------------------------
// Curve registry
//
// Lookup functions for SEC 2 / NIST standard curves.
// getCurve(name) → CurveParams { p, a, b, n, h, coord }
// getGenerator(name) → Point(Gx, Gy, curve)
// ---------------------------------------------------------------------------
(0, _globals.describe)('Curve registry', function () {
(0, _globals.test)('getCurve returns a valid CurveParams with all fields', function () {
var curve = (0, _registry.getCurve)('secp256k1');
(0, _globals.expect)(curve.p).toBeDefined();
(0, _globals.expect)(curve.a).toBeDefined();
(0, _globals.expect)(curve.b).toBeDefined();
(0, _globals.expect)(curve.n).toBeDefined();
(0, _globals.expect)(curve.h).toBeDefined();
});
(0, _globals.test)('getGenerator returns a point that satisfies y² ≡ x³ + ax + b (mod p)', function () {
var G = (0, _registry.getGenerator)('secp256k1');
(0, _globals.expect)(G.x).not.toBe(null);
(0, _globals.expect)(G.y).not.toBe(null);
(0, _globals.expect)(G.isOnCurve()).toBe(true);
});
(0, _globals.test)('getCurve throws for unknown curve names', function () {
(0, _globals.expect)(function () {
return (0, _registry.getCurve)('invalidCurveName');
}).toThrow();
});
(0, _globals.test)('getGenerator throws for unknown curve names', function () {
(0, _globals.expect)(function () {
return (0, _registry.getGenerator)('invalidCurveName');
}).toThrow();
});
(0, _globals.test)('lookup is case-insensitive', function () {
var c1 = (0, _registry.getCurve)('secp256k1');
var c2 = (0, _registry.getCurve)('SECP256K1');
(0, _globals.expect)(c1.p).toBe(c2.p);
(0, _globals.expect)(c1.n).toBe(c2.n);
});
(0, _globals.test)('all 8 standard curves are accessible and their generators are on-curve', function () {
var names = ['secp192k1', 'secp192r1', 'secp224k1', 'secp224r1', 'secp256k1', 'secp256r1', 'secp384r1', 'secp521r1'];
for (var _i = 0, _names = names; _i < _names.length; _i++) {
var name = _names[_i];
var curve = (0, _registry.getCurve)(name);
(0, _globals.expect)(curve.p > 0n).toBe(true);
var G = (0, _registry.getGenerator)(name);
(0, _globals.expect)(G.isOnCurve()).toBe(true);
}
});
});
// ---------------------------------------------------------------------------
// Curve validation
//
// A valid (non-singular) elliptic curve y² = x³ + ax + b (mod p) requires:
// Δ = -16(4a³ + 27b²) ≠ 0 (mod p)
//
// CurveParams validates this at construction time.
// ---------------------------------------------------------------------------
(0, _globals.describe)('Curve validation', function () {
(0, _globals.test)('well-formed curve is created without errors', function () {
var curve = new _curve.CurveParams({
p: 23n,
a: 1n,
b: 1n,
n: 28n,
h: 1n
});
(0, _globals.expect)(curve.p).toBe(23n);
(0, _globals.expect)(curve.a).toBe(1n);
(0, _globals.expect)(curve.b).toBe(1n);
});
// y² = x³ (a=0, b=0) → 4·0³ + 27·0² = 0
(0, _globals.test)('singular curve a=0, b=0 raises error', function () {
(0, _globals.expect)(function () {
return new _curve.CurveParams({
p: 23n,
a: 0n,
b: 0n,
n: 1n
});
}).toThrow('Singular curve');
});
// 4·(-3)³ + 27·(2)² = -108 + 108 = 0
(0, _globals.test)('singular curve a=-3, b=2, p=7 raises error', function () {
(0, _globals.expect)(function () {
return new _curve.CurveParams({
p: 7n,
a: -3n,
b: 2n,
n: 1n
});
}).toThrow();
});
(0, _globals.test)('all registry curves have non-zero discriminant', function () {
var names = ['secp192k1', 'secp192r1', 'secp224k1', 'secp224r1', 'secp256k1', 'secp256r1', 'secp384r1', 'secp521r1'];
var _loop = function _loop() {
var name = _names2[_i2];
// If discriminant were zero, getCurve would throw
(0, _globals.expect)(function () {
return (0, _registry.getCurve)(name);
}).not.toThrow();
};
for (var _i2 = 0, _names2 = names; _i2 < _names2.length; _i2++) {
_loop();
}
});
(0, _globals.test)('explicit AFFINE coordinate system is accepted', function () {
var curve = new _curve.CurveParams({
p: 23n,
a: 1n,
b: 1n,
n: 28n,
coord: _curve.CoordinateSystem.AFFINE
});
(0, _globals.expect)(curve.coord).toBe(_curve.CoordinateSystem.AFFINE);
});
(0, _globals.test)('CurveParams is frozen (immutable)', function () {
var curve = new _curve.CurveParams({
p: 23n,
a: 1n,
b: 1n,
n: 28n
});
(0, _globals.expect)(Object.isFrozen(curve)).toBe(true);
});
});
// ---------------------------------------------------------------------------
// Coordinate system settings
//
// The default coordinate system is JACOBIAN for performance (~3× faster
// scalar multiplication). Both systems must produce identical results.
// ---------------------------------------------------------------------------
(0, _globals.describe)('Coordinate system settings', function () {
(0, _globals.test)('default coordinate system is JACOBIAN', function () {
var curve = (0, _registry.getCurve)('secp256r1');
(0, _globals.expect)(curve.coord).toBe(_curve.CoordinateSystem.JACOBIAN);
});
// 42·G must be the same point regardless of coordinate system
(0, _globals.test)('affine and Jacobian produce identical results for 42·G on secp192k1', function () {
var curveJac = (0, _registry.getCurve)('secp192k1');
var curveAff = new _curve.CurveParams({
p: curveJac.p,
a: curveJac.a,
b: curveJac.b,
n: curveJac.n,
h: curveJac.h,
coord: _curve.CoordinateSystem.AFFINE
});
var Gjac = (0, _registry.getGenerator)('secp192k1');
var Gaff = new _point.Point(Gjac.x, Gjac.y, curveAff);
var resultJac = Gjac.mul(42n);
var resultAff = Gaff.mul(42n);
(0, _globals.expect)(resultJac.x).toBe(resultAff.x);
(0, _globals.expect)(resultJac.y).toBe(resultAff.y);
});
});
//# sourceMappingURL=data:application/json;charset=utf-8;base64,{"version":3,"names":["_globals","require","_registry","_curve","_point","describe","test","curve","getCurve","expect","p","toBeDefined","a","b","n","h","G","getGenerator","x","not","toBe","y","isOnCurve","toThrow","c1","c2","names","_i","_names","length","name","CurveParams","_loop","_names2","_i2","coord","CoordinateSystem","AFFINE","Object","isFrozen","JACOBIAN","curveJac","curveAff","Gjac","Gaff","Point","resultJac","mul","resultAff"],"sources":["../../src/curves.test.js"],"sourcesContent":["import { test, expect, describe } from '@jest/globals'\nimport { getCurve, getGenerator } from './curves/registry'\nimport { CoordinateSystem, CurveParams } from './core/curve'\nimport { Point } from './core/point'\n\n// ---------------------------------------------------------------------------\n// Curve registry\n//\n// Lookup functions for SEC 2 / NIST standard curves.\n// getCurve(name)     → CurveParams { p, a, b, n, h, coord }\n// getGenerator(name) → Point(Gx, Gy, curve)\n// ---------------------------------------------------------------------------\n\ndescribe('Curve registry', () => {\n  test('getCurve returns a valid CurveParams with all fields', () => {\n    const curve = getCurve('secp256k1')\n    expect(curve.p).toBeDefined()\n    expect(curve.a).toBeDefined()\n    expect(curve.b).toBeDefined()\n    expect(curve.n).toBeDefined()\n    expect(curve.h).toBeDefined()\n  })\n\n  test('getGenerator returns a point that satisfies y² ≡ x³ + ax + b (mod p)', () => {\n    const G = getGenerator('secp256k1')\n    expect(G.x).not.toBe(null)\n    expect(G.y).not.toBe(null)\n    expect(G.isOnCurve()).toBe(true)\n  })\n\n  test('getCurve throws for unknown curve names', () => {\n    expect(() => getCurve('invalidCurveName')).toThrow()\n  })\n\n  test('getGenerator throws for unknown curve names', () => {\n    expect(() => getGenerator('invalidCurveName')).toThrow()\n  })\n\n  test('lookup is case-insensitive', () => {\n    const c1 = getCurve('secp256k1')\n    const c2 = getCurve('SECP256K1')\n    expect(c1.p).toBe(c2.p)\n    expect(c1.n).toBe(c2.n)\n  })\n\n  test('all 8 standard curves are accessible and their generators are on-curve', () => {\n    const names = [\n      'secp192k1',\n      'secp192r1',\n      'secp224k1',\n      'secp224r1',\n      'secp256k1',\n      'secp256r1',\n      'secp384r1',\n      'secp521r1',\n    ]\n    for (const name of names) {\n      const curve = getCurve(name)\n      expect(curve.p > 0n).toBe(true)\n      const G = getGenerator(name)\n      expect(G.isOnCurve()).toBe(true)\n    }\n  })\n})\n\n// ---------------------------------------------------------------------------\n// Curve validation\n//\n// A valid (non-singular) elliptic curve y² = x³ + ax + b (mod p) requires:\n//   Δ = -16(4a³ + 27b²) ≠ 0  (mod p)\n//\n// CurveParams validates this at construction time.\n// ---------------------------------------------------------------------------\n\ndescribe('Curve validation', () => {\n  test('well-formed curve is created without errors', () => {\n    const curve = new CurveParams({ p: 23n, a: 1n, b: 1n, n: 28n, h: 1n })\n    expect(curve.p).toBe(23n)\n    expect(curve.a).toBe(1n)\n    expect(curve.b).toBe(1n)\n  })\n\n  // y² = x³ (a=0, b=0) → 4·0³ + 27·0² = 0\n  test('singular curve a=0, b=0 raises error', () => {\n    expect(() => new CurveParams({ p: 23n, a: 0n, b: 0n, n: 1n })).toThrow(\n      'Singular curve',\n    )\n  })\n\n  // 4·(-3)³ + 27·(2)² = -108 + 108 = 0\n  test('singular curve a=-3, b=2, p=7 raises error', () => {\n    expect(() => new CurveParams({ p: 7n, a: -3n, b: 2n, n: 1n })).toThrow()\n  })\n\n  test('all registry curves have non-zero discriminant', () => {\n    const names = [\n      'secp192k1',\n      'secp192r1',\n      'secp224k1',\n      'secp224r1',\n      'secp256k1',\n      'secp256r1',\n      'secp384r1',\n      'secp521r1',\n    ]\n    for (const name of names) {\n      // If discriminant were zero, getCurve would throw\n      expect(() => getCurve(name)).not.toThrow()\n    }\n  })\n\n  test('explicit AFFINE coordinate system is accepted', () => {\n    const curve = new CurveParams({\n      p: 23n,\n      a: 1n,\n      b: 1n,\n      n: 28n,\n      coord: CoordinateSystem.AFFINE,\n    })\n    expect(curve.coord).toBe(CoordinateSystem.AFFINE)\n  })\n\n  test('CurveParams is frozen (immutable)', () => {\n    const curve = new CurveParams({ p: 23n, a: 1n, b: 1n, n: 28n })\n    expect(Object.isFrozen(curve)).toBe(true)\n  })\n})\n\n// ---------------------------------------------------------------------------\n// Coordinate system settings\n//\n// The default coordinate system is JACOBIAN for performance (~3× faster\n// scalar multiplication).  Both systems must produce identical results.\n// ---------------------------------------------------------------------------\n\ndescribe('Coordinate system settings', () => {\n  test('default coordinate system is JACOBIAN', () => {\n    const curve = getCurve('secp256r1')\n    expect(curve.coord).toBe(CoordinateSystem.JACOBIAN)\n  })\n\n  // 42·G must be the same point regardless of coordinate system\n  test('affine and Jacobian produce identical results for 42·G on secp192k1', () => {\n    const curveJac = getCurve('secp192k1')\n    const curveAff = new CurveParams({\n      p: curveJac.p,\n      a: curveJac.a,\n      b: curveJac.b,\n      n: curveJac.n,\n      h: curveJac.h,\n      coord: CoordinateSystem.AFFINE,\n    })\n\n    const Gjac = getGenerator('secp192k1')\n    const Gaff = new Point(Gjac.x, Gjac.y, curveAff)\n\n    const resultJac = Gjac.mul(42n)\n    const resultAff = Gaff.mul(42n)\n\n    expect(resultJac.x).toBe(resultAff.x)\n    expect(resultJac.y).toBe(resultAff.y)\n  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