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emergent-agent-e1
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104 KiB
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noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\n var sha2_js_1 = require(_dependencyMap[5], \"@noble/hashes/sha2.js\");\n var utils_js_1 = require(_dependencyMap[6], \"@noble/hashes/utils.js\");\n var curve_ts_1 = require(_dependencyMap[7], \"./abstract/curve.js\");\n var edwards_ts_1 = require(_dependencyMap[8], \"./abstract/edwards.js\");\n var hash_to_curve_ts_1 = require(_dependencyMap[9], \"./abstract/hash-to-curve.js\");\n var modular_ts_1 = require(_dependencyMap[10], \"./abstract/modular.js\");\n var montgomery_ts_1 = require(_dependencyMap[11], \"./abstract/montgomery.js\");\n var utils_ts_1 = require(_dependencyMap[12], \"./utils.js\");\n // prettier-ignore\n var _0n = /* @__PURE__ */BigInt(0),\n _1n = BigInt(1),\n _2n = BigInt(2),\n _3n = BigInt(3);\n // prettier-ignore\n var _5n = BigInt(5),\n _8n = BigInt(8);\n // P = 2n**255n-19n\n var ed25519_CURVE_p = BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed');\n // N = 2n**252n + 27742317777372353535851937790883648493n\n // a = Fp.create(BigInt(-1))\n // d = -121665/121666 a.k.a. Fp.neg(121665 * Fp.inv(121666))\n var ed25519_CURVE = /* @__PURE__ */function () {\n return {\n p: ed25519_CURVE_p,\n n: BigInt('0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed'),\n h: _8n,\n a: BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec'),\n d: BigInt('0x52036cee2b6ffe738cc740797779e89800700a4d4141d8ab75eb4dca135978a3'),\n Gx: BigInt('0x216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a'),\n Gy: BigInt('0x6666666666666666666666666666666666666666666666666666666666666658')\n };\n }();\n function ed25519_pow_2_252_3(x) {\n // prettier-ignore\n var _10n = BigInt(10),\n _20n = BigInt(20),\n _40n = BigInt(40),\n _80n = BigInt(80);\n var P = ed25519_CURVE_p;\n var x2 = x * x % P;\n var b2 = x2 * x % P; // x^3, 11\n var b4 = (0, modular_ts_1.pow2)(b2, _2n, P) * b2 % P; // x^15, 1111\n var b5 = (0, modular_ts_1.pow2)(b4, _1n, P) * x % P; // x^31\n var b10 = (0, modular_ts_1.pow2)(b5, _5n, P) * b5 % P;\n var b20 = (0, modular_ts_1.pow2)(b10, _10n, P) * b10 % P;\n var b40 = (0, modular_ts_1.pow2)(b20, _20n, P) * b20 % P;\n var b80 = (0, modular_ts_1.pow2)(b40, _40n, P) * b40 % P;\n var b160 = (0, modular_ts_1.pow2)(b80, _80n, P) * b80 % P;\n var b240 = (0, modular_ts_1.pow2)(b160, _80n, P) * b80 % P;\n var b250 = (0, modular_ts_1.pow2)(b240, _10n, P) * b10 % P;\n var pow_p_5_8 = (0, modular_ts_1.pow2)(b250, _2n, P) * x % P;\n // ^ To pow to (p+3)/8, multiply it by x.\n return {\n pow_p_5_8: pow_p_5_8,\n b2: b2\n };\n }\n function adjustScalarBytes(bytes) {\n // Section 5: For X25519, in order to decode 32 random bytes as an integer scalar,\n // set the three least significant bits of the first byte\n bytes[0] &= 248; // 0b1111_1000\n // and the most significant bit of the last to zero,\n bytes[31] &= 127; // 0b0111_1111\n // set the second most significant bit of the last byte to 1\n bytes[31] |= 64; // 0b0100_0000\n return bytes;\n }\n // √(-1) aka √(a) aka 2^((p-1)/4)\n // Fp.sqrt(Fp.neg(1))\n var ED25519_SQRT_M1 = /* @__PURE__ */BigInt('19681161376707505956807079304988542015446066515923890162744021073123829784752');\n // sqrt(u/v)\n function uvRatio(u, v) {\n var P = ed25519_CURVE_p;\n var v3 = (0, modular_ts_1.mod)(v * v * v, P); // v³\n var v7 = (0, modular_ts_1.mod)(v3 * v3 * v, P); // v⁷\n // (p+3)/8 and (p-5)/8\n var pow = ed25519_pow_2_252_3(u * v7).pow_p_5_8;\n var x = (0, modular_ts_1.mod)(u * v3 * pow, P); // (uv³)(uv⁷)^(p-5)/8\n var vx2 = (0, modular_ts_1.mod)(v * x * x, P); // vx²\n var root1 = x; // First root candidate\n var root2 = (0, modular_ts_1.mod)(x * ED25519_SQRT_M1, P); // Second root candidate\n var useRoot1 = vx2 === u; // If vx² = u (mod p), x is a square root\n var useRoot2 = vx2 === (0, modular_ts_1.mod)(-u, P); // If vx² = -u, set x <-- x * 2^((p-1)/4)\n var noRoot = vx2 === (0, modular_ts_1.mod)(-u * ED25519_SQRT_M1, P); // There is no valid root, vx² = -u√(-1)\n if (useRoot1) x = root1;\n if (useRoot2 || noRoot) x = root2; // We return root2 anyway, for const-time\n if ((0, modular_ts_1.isNegativeLE)(x, P)) x = (0, modular_ts_1.mod)(-x, P);\n return {\n isValid: useRoot1 || useRoot2,\n value: x\n };\n }\n var Fp = /* @__PURE__ */function () {\n return (0, modular_ts_1.Field)(ed25519_CURVE.p, {\n isLE: true\n });\n }();\n var Fn = /* @__PURE__ */function () {\n return (0, modular_ts_1.Field)(ed25519_CURVE.n, {\n isLE: true\n });\n }();\n var ed25519Defaults = /* @__PURE__ */function () {\n return Object.assign({}, ed25519_CURVE, {\n Fp: Fp,\n hash: sha2_js_1.sha512,\n adjustScalarBytes: adjustScalarBytes,\n // dom2\n // Ratio of u to v. Allows us to combine inversion and square root. Uses algo from RFC8032 5.1.3.\n // Constant-time, u/√v\n uvRatio: uvRatio\n });\n }();\n /**\n * ed25519 curve with EdDSA signatures.\n * @example\n * import { ed25519 } from '@noble/curves/ed25519';\n * const { secretKey, publicKey } = ed25519.keygen();\n * const msg = new TextEncoder().encode('hello');\n * const sig = ed25519.sign(msg, priv);\n * ed25519.verify(sig, msg, pub); // Default mode: follows ZIP215\n * ed25519.verify(sig, msg, pub, { zip215: false }); // RFC8032 / FIPS 186-5\n */\n exports.ed25519 = function () {\n return (0, edwards_ts_1.twistedEdwards)(ed25519Defaults);\n }();\n function ed25519_domain(data, ctx, phflag) {\n if (ctx.length > 255) throw new Error('Context is too big');\n return (0, utils_js_1.concatBytes)((0, utils_js_1.utf8ToBytes)('SigEd25519 no Ed25519 collisions'), new Uint8Array([phflag ? 1 : 0, ctx.length]), ctx, data);\n }\n /** Context of ed25519. Uses context for domain separation. */\n exports.ed25519ctx = function () {\n return (0, edwards_ts_1.twistedEdwards)(Object.assign({}, ed25519Defaults, {\n domain: ed25519_domain\n }));\n }();\n /** Prehashed version of ed25519. Accepts already-hashed messages in sign() and verify(). */\n exports.ed25519ph = function () {\n return (0, edwards_ts_1.twistedEdwards)(Object.assign({}, ed25519Defaults, {\n domain: ed25519_domain,\n prehash: sha2_js_1.sha512\n }));\n }();\n /**\n * ECDH using curve25519 aka x25519.\n * @example\n * import { x25519 } from '@noble/curves/ed25519';\n * const priv = 'a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4';\n * const pub = 'e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c';\n * x25519.getSharedSecret(priv, pub) === x25519.scalarMult(priv, pub); // aliases\n * x25519.getPublicKey(priv) === x25519.scalarMultBase(priv);\n * x25519.getPublicKey(x25519.utils.randomSecretKey());\n */\n exports.x25519 = function () {\n var P = Fp.ORDER;\n return (0, montgomery_ts_1.montgomery)({\n P: P,\n type: 'x25519',\n powPminus2: function powPminus2(x) {\n // x^(p-2) aka x^(2^255-21)\n var _ed25519_pow_2_252_ = ed25519_pow_2_252_3(x),\n pow_p_5_8 = _ed25519_pow_2_252_.pow_p_5_8,\n b2 = _ed25519_pow_2_252_.b2;\n return (0, modular_ts_1.mod)((0, modular_ts_1.pow2)(pow_p_5_8, _3n, P) * b2, P);\n },\n adjustScalarBytes: adjustScalarBytes\n });\n }();\n // Hash To Curve Elligator2 Map (NOTE: different from ristretto255 elligator)\n // NOTE: very important part is usage of FpSqrtEven for ELL2_C1_EDWARDS, since\n // SageMath returns different root first and everything falls apart\n var ELL2_C1 = /* @__PURE__ */function () {\n return (ed25519_CURVE_p + _3n) / _8n;\n }(); // 1. c1 = (q + 3) / 8 # Integer arithmetic\n var ELL2_C2 = /* @__PURE__ */function () {\n return Fp.pow(_2n, ELL2_C1);\n }(); // 2. c2 = 2^c1\n var ELL2_C3 = /* @__PURE__ */function () {\n return Fp.sqrt(Fp.neg(Fp.ONE));\n }(); // 3. c3 = sqrt(-1)\n // prettier-ignore\n function map_to_curve_elligator2_curve25519(u) {\n var ELL2_C4 = (ed25519_CURVE_p - _5n) / _8n; // 4. c4 = (q - 5) / 8 # Integer arithmetic\n var ELL2_J = BigInt(486662);\n var tv1 = Fp.sqr(u); // 1. tv1 = u^2\n tv1 = Fp.mul(tv1, _2n); // 2. tv1 = 2 * tv1\n var xd = Fp.add(tv1, Fp.ONE); // 3. xd = tv1 + 1 # Nonzero: -1 is square (mod p), tv1 is not\n var x1n = Fp.neg(ELL2_J); // 4. x1n = -J # x1 = x1n / xd = -J / (1 + 2 * u^2)\n var tv2 = Fp.sqr(xd); // 5. tv2 = xd^2\n var gxd = Fp.mul(tv2, xd); // 6. gxd = tv2 * xd # gxd = xd^3\n var gx1 = Fp.mul(tv1, ELL2_J); // 7. gx1 = J * tv1 # x1n + J * xd\n gx1 = Fp.mul(gx1, x1n); // 8. gx1 = gx1 * x1n # x1n^2 + J * x1n * xd\n gx1 = Fp.add(gx1, tv2); // 9. gx1 = gx1 + tv2 # x1n^2 + J * x1n * xd + xd^2\n gx1 = Fp.mul(gx1, x1n); // 10. gx1 = gx1 * x1n # x1n^3 + J * x1n^2 * xd + x1n * xd^2\n var tv3 = Fp.sqr(gxd); // 11. tv3 = gxd^2\n tv2 = Fp.sqr(tv3); // 12. tv2 = tv3^2 # gxd^4\n tv3 = Fp.mul(tv3, gxd); // 13. tv3 = tv3 * gxd # gxd^3\n tv3 = Fp.mul(tv3, gx1); // 14. tv3 = tv3 * gx1 # gx1 * gxd^3\n tv2 = Fp.mul(tv2, tv3); // 15. tv2 = tv2 * tv3 # gx1 * gxd^7\n var y11 = Fp.pow(tv2, ELL2_C4); // 16. y11 = tv2^c4 # (gx1 * gxd^7)^((p - 5) / 8)\n y11 = Fp.mul(y11, tv3); // 17. y11 = y11 * tv3 # gx1*gxd^3*(gx1*gxd^7)^((p-5)/8)\n var y12 = Fp.mul(y11, ELL2_C3); // 18. y12 = y11 * c3\n tv2 = Fp.sqr(y11); // 19. tv2 = y11^2\n tv2 = Fp.mul(tv2, gxd); // 20. tv2 = tv2 * gxd\n var e1 = Fp.eql(tv2, gx1); // 21. e1 = tv2 == gx1\n var y1 = Fp.cmov(y12, y11, e1); // 22. y1 = CMOV(y12, y11, e1) # If g(x1) is square, this is its sqrt\n var x2n = Fp.mul(x1n, tv1); // 23. x2n = x1n * tv1 # x2 = x2n / xd = 2 * u^2 * x1n / xd\n var y21 = Fp.mul(y11, u); // 24. y21 = y11 * u\n y21 = Fp.mul(y21, ELL2_C2); // 25. y21 = y21 * c2\n var y22 = Fp.mul(y21, ELL2_C3); // 26. y22 = y21 * c3\n var gx2 = Fp.mul(gx1, tv1); // 27. gx2 = gx1 * tv1 # g(x2) = gx2 / gxd = 2 * u^2 * g(x1)\n tv2 = Fp.sqr(y21); // 28. tv2 = y21^2\n tv2 = Fp.mul(tv2, gxd); // 29. tv2 = tv2 * gxd\n var e2 = Fp.eql(tv2, gx2); // 30. e2 = tv2 == gx2\n var y2 = Fp.cmov(y22, y21, e2); // 31. y2 = CMOV(y22, y21, e2) # If g(x2) is square, this is its sqrt\n tv2 = Fp.sqr(y1); // 32. tv2 = y1^2\n tv2 = Fp.mul(tv2, gxd); // 33. tv2 = tv2 * gxd\n var e3 = Fp.eql(tv2, gx1); // 34. e3 = tv2 == gx1\n var xn = Fp.cmov(x2n, x1n, e3); // 35. xn = CMOV(x2n, x1n, e3) # If e3, x = x1, else x = x2\n var y = Fp.cmov(y2, y1, e3); // 36. y = CMOV(y2, y1, e3) # If e3, y = y1, else y = y2\n var e4 = Fp.isOdd(y); // 37. e4 = sgn0(y) == 1 # Fix sign of y\n y = Fp.cmov(y, Fp.neg(y), e3 !== e4); // 38. y = CMOV(y, -y, e3 XOR e4)\n return {\n xMn: xn,\n xMd: xd,\n yMn: y,\n yMd: _1n\n }; // 39. return (xn, xd, y, 1)\n }\n var ELL2_C1_EDWARDS = /* @__PURE__ */function () {\n return (0, modular_ts_1.FpSqrtEven)(Fp, Fp.neg(BigInt(486664)));\n }(); // sgn0(c1) MUST equal 0\n function map_to_curve_elligator2_edwards25519(u) {\n var _map_to_curve_elligat = map_to_curve_elligator2_curve25519(u),\n xMn = _map_to_curve_elligat.xMn,\n xMd = _map_to_curve_elligat.xMd,\n yMn = _map_to_curve_elligat.yMn,\n yMd = _map_to_curve_elligat.yMd; // 1. (xMn, xMd, yMn, yMd) =\n // map_to_curve_elligator2_curve25519(u)\n var xn = Fp.mul(xMn, yMd); // 2. xn = xMn * yMd\n xn = Fp.mul(xn, ELL2_C1_EDWARDS); // 3. xn = xn * c1\n var xd = Fp.mul(xMd, yMn); // 4. xd = xMd * yMn # xn / xd = c1 * xM / yM\n var yn = Fp.sub(xMn, xMd); // 5. yn = xMn - xMd\n var yd = Fp.add(xMn, xMd); // 6. yd = xMn + xMd # (n / d - 1) / (n / d + 1) = (n - d) / (n + d)\n var tv1 = Fp.mul(xd, yd); // 7. tv1 = xd * yd\n var e = Fp.eql(tv1, Fp.ZERO); // 8. e = tv1 == 0\n xn = Fp.cmov(xn, Fp.ZERO, e); // 9. xn = CMOV(xn, 0, e)\n xd = Fp.cmov(xd, Fp.ONE, e); // 10. xd = CMOV(xd, 1, e)\n yn = Fp.cmov(yn, Fp.ONE, e); // 11. yn = CMOV(yn, 1, e)\n yd = Fp.cmov(yd, Fp.ONE, e); // 12. yd = CMOV(yd, 1, e)\n var _ref = (0, modular_ts_1.FpInvertBatch)(Fp, [xd, yd], true),\n _ref2 = _slicedToArray(_ref, 2),\n xd_inv = _ref2[0],\n yd_inv = _ref2[1]; // batch division\n return {\n x: Fp.mul(xn, xd_inv),\n y: Fp.mul(yn, yd_inv)\n }; // 13. return (xn, xd, yn, yd)\n }\n /** Hashing to ed25519 points / field. RFC 9380 methods. */\n exports.ed25519_hasher = function () {\n return (0, hash_to_curve_ts_1.createHasher)(exports.ed25519.Point, function (scalars) {\n return map_to_curve_elligator2_edwards25519(scalars[0]);\n }, {\n DST: 'edwards25519_XMD:SHA-512_ELL2_RO_',\n encodeDST: 'edwards25519_XMD:SHA-512_ELL2_NU_',\n p: ed25519_CURVE_p,\n m: 1,\n k: 128,\n expand: 'xmd',\n hash: sha2_js_1.sha512\n });\n }();\n // √(-1) aka √(a) aka 2^((p-1)/4)\n var SQRT_M1 = ED25519_SQRT_M1;\n // √(ad - 1)\n var SQRT_AD_MINUS_ONE = /* @__PURE__ */BigInt('25063068953384623474111414158702152701244531502492656460079210482610430750235');\n // 1 / √(a-d)\n var INVSQRT_A_MINUS_D = /* @__PURE__ */BigInt('54469307008909316920995813868745141605393597292927456921205312896311721017578');\n // 1-d²\n var ONE_MINUS_D_SQ = /* @__PURE__ */BigInt('1159843021668779879193775521855586647937357759715417654439879720876111806838');\n // (d-1)²\n var D_MINUS_ONE_SQ = /* @__PURE__ */BigInt('40440834346308536858101042469323190826248399146238708352240133220865137265952');\n // Calculates 1/√(number)\n var invertSqrt = function invertSqrt(number) {\n return uvRatio(_1n, number);\n };\n var MAX_255B = /* @__PURE__ */BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff');\n var bytes255ToNumberLE = function bytes255ToNumberLE(bytes) {\n return exports.ed25519.Point.Fp.create((0, utils_ts_1.bytesToNumberLE)(bytes) & MAX_255B);\n };\n /**\n * Computes Elligator map for Ristretto255.\n * Described in [RFC9380](https://www.rfc-editor.org/rfc/rfc9380#appendix-B) and on\n * the [website](https://ristretto.group/formulas/elligator.html).\n */\n function calcElligatorRistrettoMap(r0) {\n var d = ed25519_CURVE.d;\n var P = ed25519_CURVE_p;\n var mod = function mod(n) {\n return Fp.create(n);\n };\n var r = mod(SQRT_M1 * r0 * r0); // 1\n var Ns = mod((r + _1n) * ONE_MINUS_D_SQ); // 2\n var c = BigInt(-1); // 3\n var D = mod((c - d * r) * mod(r + d)); // 4\n var _uvRatio = uvRatio(Ns, D),\n Ns_D_is_sq = _uvRatio.isValid,\n s = _uvRatio.value; // 5\n var s_ = mod(s * r0); // 6\n if (!(0, modular_ts_1.isNegativeLE)(s_, P)) s_ = mod(-s_);\n if (!Ns_D_is_sq) s = s_; // 7\n if (!Ns_D_is_sq) c = r; // 8\n var Nt = mod(c * (r - _1n) * D_MINUS_ONE_SQ - D); // 9\n var s2 = s * s;\n var W0 = mod((s + s) * D); // 10\n var W1 = mod(Nt * SQRT_AD_MINUS_ONE); // 11\n var W2 = mod(_1n - s2); // 12\n var W3 = mod(_1n + s2); // 13\n return new exports.ed25519.Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));\n }\n function ristretto255_map(bytes) {\n (0, utils_js_1.abytes)(bytes, 64);\n var r1 = bytes255ToNumberLE(bytes.subarray(0, 32));\n var R1 = calcElligatorRistrettoMap(r1);\n var r2 = bytes255ToNumberLE(bytes.subarray(32, 64));\n var R2 = calcElligatorRistrettoMap(r2);\n return new _RistrettoPoint(R1.add(R2));\n }\n /**\n * Wrapper over Edwards Point for ristretto255.\n *\n * Each ed25519/ExtendedPoint has 8 different equivalent points. This can be\n * a source of bugs for protocols like ring signatures. Ristretto was created to solve this.\n * Ristretto point operates in X:Y:Z:T extended coordinates like ExtendedPoint,\n * but it should work in its own namespace: do not combine those two.\n * See [RFC9496](https://www.rfc-editor.org/rfc/rfc9496).\n */\n var _RistrettoPoint = /*#__PURE__*/function (_edwards_ts_1$PrimeEd) {\n function _RistrettoPoint(ep) {\n _classCallCheck(this, _RistrettoPoint);\n return _callSuper(this, _RistrettoPoint, [ep]);\n }\n _inherits(_RistrettoPoint, _edwards_ts_1$PrimeEd);\n return _createClass(_RistrettoPoint, [{\n key: \"assertSame\",\n value: function assertSame(other) {\n if (!(other instanceof _RistrettoPoint)) throw new Error('RistrettoPoint expected');\n }\n }, {\n key: \"init\",\n value: function init(ep) {\n return new _RistrettoPoint(ep);\n }\n /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */\n }, {\n key: \"toBytes\",\n value:\n /**\n * Encodes ristretto point to Uint8Array.\n * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-encode).\n */\n function toBytes() {\n var _this$ep = this.ep,\n X = _this$ep.X,\n Y = _this$ep.Y,\n Z = _this$ep.Z,\n T = _this$ep.T;\n var P = ed25519_CURVE_p;\n var mod = function mod(n) {\n return Fp.create(n);\n };\n var u1 = mod(mod(Z + Y) * mod(Z - Y)); // 1\n var u2 = mod(X * Y); // 2\n // Square root always exists\n var u2sq = mod(u2 * u2);\n var _invertSqrt = invertSqrt(mod(u1 * u2sq)),\n invsqrt = _invertSqrt.value; // 3\n var D1 = mod(invsqrt * u1); // 4\n var D2 = mod(invsqrt * u2); // 5\n var zInv = mod(D1 * D2 * T); // 6\n var D; // 7\n if ((0, modular_ts_1.isNegativeLE)(T * zInv, P)) {\n var _x = mod(Y * SQRT_M1);\n var _y = mod(X * SQRT_M1);\n X = _x;\n Y = _y;\n D = mod(D1 * INVSQRT_A_MINUS_D);\n } else {\n D = D2; // 8\n }\n if ((0, modular_ts_1.isNegativeLE)(X * zInv, P)) Y = mod(-Y); // 9\n var s = mod((Z - Y) * D); // 10 (check footer's note, no sqrt(-a))\n if ((0, modular_ts_1.isNegativeLE)(s, P)) s = mod(-s);\n return Fp.toBytes(s); // 11\n }\n /**\n * Compares two Ristretto points.\n * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-equals).\n */\n }, {\n key: \"equals\",\n value: function equals(other) {\n this.assertSame(other);\n var _this$ep2 = this.ep,\n X1 = _this$ep2.X,\n Y1 = _this$ep2.Y;\n var _other$ep = other.ep,\n X2 = _other$ep.X,\n Y2 = _other$ep.Y;\n var mod = function mod(n) {\n return Fp.create(n);\n };\n // (x1 * y2 == y1 * x2) | (y1 * y2 == x1 * x2)\n var one = mod(X1 * Y2) === mod(Y1 * X2);\n var two = mod(Y1 * Y2) === mod(X1 * X2);\n return one || two;\n }\n }, {\n key: \"is0\",\n value: function is0() {\n return this.equals(_RistrettoPoint.ZERO);\n }\n }], [{\n key: \"fromAffine\",\n value: function fromAffine(ap) {\n return new _RistrettoPoint(exports.ed25519.Point.fromAffine(ap));\n }\n }, {\n key: \"hashToCurve\",\n value: function hashToCurve(hex) {\n return ristretto255_map((0, utils_ts_1.ensureBytes)('ristrettoHash', hex, 64));\n }\n }, {\n key: \"fromBytes\",\n value: function fromBytes(bytes) {\n (0, utils_js_1.abytes)(bytes, 32);\n var a = ed25519_CURVE.a,\n d = ed25519_CURVE.d;\n var P = ed25519_CURVE_p;\n var mod = function mod(n) {\n return Fp.create(n);\n };\n var s = bytes255ToNumberLE(bytes);\n // 1. Check that s_bytes is the canonical encoding of a field element, or else abort.\n // 3. Check that s is non-negative, or else abort\n if (!(0, utils_ts_1.equalBytes)(Fp.toBytes(s), bytes) || (0, modular_ts_1.isNegativeLE)(s, P)) throw new Error('invalid ristretto255 encoding 1');\n var s2 = mod(s * s);\n var u1 = mod(_1n + a * s2); // 4 (a is -1)\n var u2 = mod(_1n - a * s2); // 5\n var u1_2 = mod(u1 * u1);\n var u2_2 = mod(u2 * u2);\n var v = mod(a * d * u1_2 - u2_2); // 6\n var _invertSqrt2 = invertSqrt(mod(v * u2_2)),\n isValid = _invertSqrt2.isValid,\n I = _invertSqrt2.value; // 7\n var Dx = mod(I * u2); // 8\n var Dy = mod(I * Dx * v); // 9\n var x = mod((s + s) * Dx); // 10\n if ((0, modular_ts_1.isNegativeLE)(x, P)) x = mod(-x); // 10\n var y = mod(u1 * Dy); // 11\n var t = mod(x * y); // 12\n if (!isValid || (0, modular_ts_1.isNegativeLE)(t, P) || y === _0n) throw new Error('invalid ristretto255 encoding 2');\n return new _RistrettoPoint(new exports.ed25519.Point(x, y, _1n, t));\n }\n /**\n * Converts ristretto-encoded string to ristretto point.\n * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-decode).\n * @param hex Ristretto-encoded 32 bytes. Not every 32-byte string is valid ristretto encoding\n */\n }, {\n key: \"fromHex\",\n value: function fromHex(hex) {\n return _RistrettoPoint.fromBytes((0, utils_ts_1.ensureBytes)('ristrettoHex', hex, 32));\n }\n }, {\n key: \"msm\",\n value: function msm(points, scalars) {\n return (0, curve_ts_1.pippenger)(_RistrettoPoint, exports.ed25519.Point.Fn, points, scalars);\n }\n }]);\n }(edwards_ts_1.PrimeEdwardsPoint); // Do NOT change syntax: the following gymnastics is done,\n // because typescript strips comments, which makes bundlers disable tree-shaking.\n // prettier-ignore\n _RistrettoPoint.BASE = /* @__PURE__ */function () {\n return new _RistrettoPoint(exports.ed25519.Point.BASE);\n }();\n // prettier-ignore\n _RistrettoPoint.ZERO = /* @__PURE__ */function () {\n return new _RistrettoPoint(exports.ed25519.Point.ZERO);\n }();\n // prettier-ignore\n _RistrettoPoint.Fp = /* @__PURE__ */function () {\n return Fp;\n }();\n // prettier-ignore\n _RistrettoPoint.Fn = /* @__PURE__ */function () {\n return Fn;\n }();\n exports.ristretto255 = {\n Point: _RistrettoPoint\n };\n /** Hashing to ristretto255 points / field. RFC 9380 methods. */\n exports.ristretto255_hasher = {\n hashToCurve: function hashToCurve(msg, options) {\n var DST = (options == null ? void 0 : options.DST) || 'ristretto255_XMD:SHA-512_R255MAP_RO_';\n var xmd = (0, hash_to_curve_ts_1.expand_message_xmd)(msg, DST, 64, sha2_js_1.sha512);\n return ristretto255_map(xmd);\n },\n hashToScalar: function hashToScalar(msg) {\n var options = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {\n DST: hash_to_curve_ts_1._DST_scalar\n };\n var xmd = (0, hash_to_curve_ts_1.expand_message_xmd)(msg, options.DST, 64, sha2_js_1.sha512);\n return Fn.create((0, utils_ts_1.bytesToNumberLE)(xmd));\n }\n };\n // export const ristretto255_oprf: OPRF = createORPF({\n // name: 'ristretto255-SHA512',\n // Point: RistrettoPoint,\n // hash: sha512,\n // hashToGroup: ristretto255_hasher.hashToCurve,\n // hashToScalar: ristretto255_hasher.hashToScalar,\n // });\n /**\n * Weird / bogus points, useful for debugging.\n * All 8 ed25519 points of 8-torsion subgroup can be generated from the point\n * T = `26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc05`.\n * ⟨T⟩ = { O, T, 2T, 3T, 4T, 5T, 6T, 7T }\n */\n exports.ED25519_TORSION_SUBGROUP = ['0100000000000000000000000000000000000000000000000000000000000000', 'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac037a', '0000000000000000000000000000000000000000000000000000000000000080', '26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc05', 'ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc85', '0000000000000000000000000000000000000000000000000000000000000000', 'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac03fa'];\n /** @deprecated use `ed25519.utils.toMontgomery` */\n function edwardsToMontgomeryPub(edwardsPub) {\n return exports.ed25519.utils.toMontgomery((0, utils_ts_1.ensureBytes)('pub', edwardsPub));\n }\n /** @deprecated use `ed25519.utils.toMontgomery` */\n exports.edwardsToMontgomery = edwardsToMontgomeryPub;\n /** @deprecated use `ed25519.utils.toMontgomerySecret` */\n function edwardsToMontgomeryPriv(edwardsPriv) {\n return exports.ed25519.utils.toMontgomerySecret((0, utils_ts_1.ensureBytes)('pub', edwardsPriv));\n }\n /** @deprecated use `ristretto255.Point` */\n exports.RistrettoPoint = _RistrettoPoint;\n /** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */\n exports.hashToCurve = function () {\n return exports.ed25519_hasher.hashToCurve;\n }();\n /** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */\n exports.encodeToCurve = function () {\n return exports.ed25519_hasher.encodeToCurve;\n }();\n /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */\n exports.hashToRistretto255 = function () {\n return exports.ristretto255_hasher.hashToCurve;\n }();\n /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */\n exports.hash_to_ristretto255 = function () {\n return exports.ristretto255_hasher.hashToCurve;\n 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