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emergent-agent-e1
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95 KiB
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{"dependencies":[{"name":"@noble/hashes/sha2.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":14,"column":18,"index":826},"end":{"line":14,"column":50,"index":858}}],"key":"vu3GrmX7IyKWLC5hFxoq1UnCcJ8=","exportNames":["*"],"imports":1}},{"name":"@noble/hashes/utils.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":15,"column":19,"index":879},"end":{"line":15,"column":52,"index":912}}],"key":"p7DyZ5tsNLZq/3XRYBR2CQCL188=","exportNames":["*"],"imports":1}},{"name":"./abstract/curve.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":16,"column":19,"index":933},"end":{"line":16,"column":49,"index":963}}],"key":"uG6BB1yHvnPNURhjNoN1pAfNFaM=","exportNames":["*"],"imports":1}},{"name":"./abstract/edwards.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":17,"column":21,"index":986},"end":{"line":17,"column":53,"index":1018}}],"key":"k0DK349sxldzfwgSnX/LZHIvzB4=","exportNames":["*"],"imports":1}},{"name":"./abstract/hash-to-curve.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":18,"column":27,"index":1047},"end":{"line":18,"column":65,"index":1085}}],"key":"V7aW6RTrVrmfWtSF3dQ4BGgJnvk=","exportNames":["*"],"imports":1}},{"name":"./abstract/modular.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":19,"column":21,"index":1108},"end":{"line":19,"column":53,"index":1140}}],"key":"+wqfTwYuIjwX8vzKXzerMvYz6ok=","exportNames":["*"],"imports":1}},{"name":"./abstract/montgomery.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":20,"column":24,"index":1166},"end":{"line":20,"column":59,"index":1201}}],"key":"Cyntt6J/58VrRo+pvu/rGjpR1VM=","exportNames":["*"],"imports":1}},{"name":"./utils.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":21,"column":19,"index":1222},"end":{"line":21,"column":40,"index":1243}}],"key":"v6h+l9IeOWbEcXdtKQqd2f4now4=","exportNames":["*"],"imports":1}}],"output":[{"data":{"code":"__d(function (global, require, _$$_IMPORT_DEFAULT, _$$_IMPORT_ALL, module, exports, _dependencyMap) {\n \"use strict\";\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n exports.hash_to_ristretto255 = exports.hashToRistretto255 = exports.encodeToCurve = exports.hashToCurve = exports.RistrettoPoint = exports.edwardsToMontgomery = exports.ED25519_TORSION_SUBGROUP = exports.ristretto255_hasher = exports.ristretto255 = exports.ed25519_hasher = exports.x25519 = exports.ed25519ph = exports.ed25519ctx = exports.ed25519 = void 0;\n exports.edwardsToMontgomeryPub = edwardsToMontgomeryPub;\n exports.edwardsToMontgomeryPriv = edwardsToMontgomeryPriv;\n /**\n * ed25519 Twisted Edwards curve with following addons:\n * - X25519 ECDH\n * - Ristretto cofactor elimination\n * - Elligator hash-to-group / point indistinguishability\n * @module\n */\n /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\n const sha2_js_1 = require(_dependencyMap[0], \"@noble/hashes/sha2.js\");\n const utils_js_1 = require(_dependencyMap[1], \"@noble/hashes/utils.js\");\n const curve_ts_1 = require(_dependencyMap[2], \"./abstract/curve.js\");\n const edwards_ts_1 = require(_dependencyMap[3], \"./abstract/edwards.js\");\n const hash_to_curve_ts_1 = require(_dependencyMap[4], \"./abstract/hash-to-curve.js\");\n const modular_ts_1 = require(_dependencyMap[5], \"./abstract/modular.js\");\n const montgomery_ts_1 = require(_dependencyMap[6], \"./abstract/montgomery.js\");\n const utils_ts_1 = require(_dependencyMap[7], \"./utils.js\");\n // prettier-ignore\n const _0n = /* @__PURE__ */BigInt(0),\n _1n = BigInt(1),\n _2n = BigInt(2),\n _3n = BigInt(3);\n // prettier-ignore\n const _5n = BigInt(5),\n _8n = BigInt(8);\n // P = 2n**255n-19n\n const 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 const ed25519_CURVE = /* @__PURE__ */(() => ({\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 function ed25519_pow_2_252_3(x) {\n // prettier-ignore\n const _10n = BigInt(10),\n _20n = BigInt(20),\n _40n = BigInt(40),\n _80n = BigInt(80);\n const P = ed25519_CURVE_p;\n const x2 = x * x % P;\n const b2 = x2 * x % P; // x^3, 11\n const b4 = (0, modular_ts_1.pow2)(b2, _2n, P) * b2 % P; // x^15, 1111\n const b5 = (0, modular_ts_1.pow2)(b4, _1n, P) * x % P; // x^31\n const b10 = (0, modular_ts_1.pow2)(b5, _5n, P) * b5 % P;\n const b20 = (0, modular_ts_1.pow2)(b10, _10n, P) * b10 % P;\n const b40 = (0, modular_ts_1.pow2)(b20, _20n, P) * b20 % P;\n const b80 = (0, modular_ts_1.pow2)(b40, _40n, P) * b40 % P;\n const b160 = (0, modular_ts_1.pow2)(b80, _80n, P) * b80 % P;\n const b240 = (0, modular_ts_1.pow2)(b160, _80n, P) * b80 % P;\n const b250 = (0, modular_ts_1.pow2)(b240, _10n, P) * b10 % P;\n const 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,\n 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 const ED25519_SQRT_M1 = /* @__PURE__ */BigInt('19681161376707505956807079304988542015446066515923890162744021073123829784752');\n // sqrt(u/v)\n function uvRatio(u, v) {\n const P = ed25519_CURVE_p;\n const v3 = (0, modular_ts_1.mod)(v * v * v, P); // v³\n const v7 = (0, modular_ts_1.mod)(v3 * v3 * v, P); // v⁷\n // (p+3)/8 and (p-5)/8\n const pow = ed25519_pow_2_252_3(u * v7).pow_p_5_8;\n let x = (0, modular_ts_1.mod)(u * v3 * pow, P); // (uv³)(uv⁷)^(p-5)/8\n const vx2 = (0, modular_ts_1.mod)(v * x * x, P); // vx²\n const root1 = x; // First root candidate\n const root2 = (0, modular_ts_1.mod)(x * ED25519_SQRT_M1, P); // Second root candidate\n const useRoot1 = vx2 === u; // If vx² = u (mod p), x is a square root\n const useRoot2 = vx2 === (0, modular_ts_1.mod)(-u, P); // If vx² = -u, set x <-- x * 2^((p-1)/4)\n const 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 const Fp = /* @__PURE__ */(() => (0, modular_ts_1.Field)(ed25519_CURVE.p, {\n isLE: true\n }))();\n const Fn = /* @__PURE__ */(() => (0, modular_ts_1.Field)(ed25519_CURVE.n, {\n isLE: true\n }))();\n const ed25519Defaults = /* @__PURE__ */(() => ({\n ...ed25519_CURVE,\n Fp,\n hash: sha2_js_1.sha512,\n 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\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 = (() => (0, edwards_ts_1.twistedEdwards)(ed25519Defaults))();\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 = (() => (0, edwards_ts_1.twistedEdwards)({\n ...ed25519Defaults,\n domain: ed25519_domain\n }))();\n /** Prehashed version of ed25519. Accepts already-hashed messages in sign() and verify(). */\n exports.ed25519ph = (() => (0, edwards_ts_1.twistedEdwards)(Object.assign({}, ed25519Defaults, {\n domain: ed25519_domain,\n prehash: sha2_js_1.sha512\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 = (() => {\n const P = Fp.ORDER;\n return (0, montgomery_ts_1.montgomery)({\n P,\n type: 'x25519',\n powPminus2: x => {\n // x^(p-2) aka x^(2^255-21)\n const {\n pow_p_5_8,\n b2\n } = ed25519_pow_2_252_3(x);\n return (0, modular_ts_1.mod)((0, modular_ts_1.pow2)(pow_p_5_8, _3n, P) * b2, P);\n },\n 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 const ELL2_C1 = /* @__PURE__ */(() => (ed25519_CURVE_p + _3n) / _8n)(); // 1. c1 = (q + 3) / 8 # Integer arithmetic\n const ELL2_C2 = /* @__PURE__ */(() => Fp.pow(_2n, ELL2_C1))(); // 2. c2 = 2^c1\n const ELL2_C3 = /* @__PURE__ */(() => Fp.sqrt(Fp.neg(Fp.ONE)))(); // 3. c3 = sqrt(-1)\n // prettier-ignore\n function map_to_curve_elligator2_curve25519(u) {\n const ELL2_C4 = (ed25519_CURVE_p - _5n) / _8n; // 4. c4 = (q - 5) / 8 # Integer arithmetic\n const ELL2_J = BigInt(486662);\n let tv1 = Fp.sqr(u); // 1. tv1 = u^2\n tv1 = Fp.mul(tv1, _2n); // 2. tv1 = 2 * tv1\n let xd = Fp.add(tv1, Fp.ONE); // 3. xd = tv1 + 1 # Nonzero: -1 is square (mod p), tv1 is not\n let x1n = Fp.neg(ELL2_J); // 4. x1n = -J # x1 = x1n / xd = -J / (1 + 2 * u^2)\n let tv2 = Fp.sqr(xd); // 5. tv2 = xd^2\n let gxd = Fp.mul(tv2, xd); // 6. gxd = tv2 * xd # gxd = xd^3\n let 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 let 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 let 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 let 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 let e1 = Fp.eql(tv2, gx1); // 21. e1 = tv2 == gx1\n let y1 = Fp.cmov(y12, y11, e1); // 22. y1 = CMOV(y12, y11, e1) # If g(x1) is square, this is its sqrt\n let x2n = Fp.mul(x1n, tv1); // 23. x2n = x1n * tv1 # x2 = x2n / xd = 2 * u^2 * x1n / xd\n let y21 = Fp.mul(y11, u); // 24. y21 = y11 * u\n y21 = Fp.mul(y21, ELL2_C2); // 25. y21 = y21 * c2\n let y22 = Fp.mul(y21, ELL2_C3); // 26. y22 = y21 * c3\n let 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 let e2 = Fp.eql(tv2, gx2); // 30. e2 = tv2 == gx2\n let 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 let e3 = Fp.eql(tv2, gx1); // 34. e3 = tv2 == gx1\n let xn = Fp.cmov(x2n, x1n, e3); // 35. xn = CMOV(x2n, x1n, e3) # If e3, x = x1, else x = x2\n let y = Fp.cmov(y2, y1, e3); // 36. y = CMOV(y2, y1, e3) # If e3, y = y1, else y = y2\n let 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 const ELL2_C1_EDWARDS = /* @__PURE__ */(() => (0, modular_ts_1.FpSqrtEven)(Fp, Fp.neg(BigInt(486664))))(); // sgn0(c1) MUST equal 0\n function map_to_curve_elligator2_edwards25519(u) {\n const {\n xMn,\n xMd,\n yMn,\n yMd\n } = map_to_curve_elligator2_curve25519(u); // 1. (xMn, xMd, yMn, yMd) =\n // map_to_curve_elligator2_curve25519(u)\n let xn = Fp.mul(xMn, yMd); // 2. xn = xMn * yMd\n xn = Fp.mul(xn, ELL2_C1_EDWARDS); // 3. xn = xn * c1\n let xd = Fp.mul(xMd, yMn); // 4. xd = xMd * yMn # xn / xd = c1 * xM / yM\n let yn = Fp.sub(xMn, xMd); // 5. yn = xMn - xMd\n let yd = Fp.add(xMn, xMd); // 6. yd = xMn + xMd # (n / d - 1) / (n / d + 1) = (n - d) / (n + d)\n let tv1 = Fp.mul(xd, yd); // 7. tv1 = xd * yd\n let 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 const [xd_inv, yd_inv] = (0, modular_ts_1.FpInvertBatch)(Fp, [xd, yd], true); // 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 = (() => (0, hash_to_curve_ts_1.createHasher)(exports.ed25519.Point, scalars => map_to_curve_elligator2_edwards25519(scalars[0]), {\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 // √(-1) aka √(a) aka 2^((p-1)/4)\n const SQRT_M1 = ED25519_SQRT_M1;\n // √(ad - 1)\n const SQRT_AD_MINUS_ONE = /* @__PURE__ */BigInt('25063068953384623474111414158702152701244531502492656460079210482610430750235');\n // 1 / √(a-d)\n const INVSQRT_A_MINUS_D = /* @__PURE__ */BigInt('54469307008909316920995813868745141605393597292927456921205312896311721017578');\n // 1-d²\n const ONE_MINUS_D_SQ = /* @__PURE__ */BigInt('1159843021668779879193775521855586647937357759715417654439879720876111806838');\n // (d-1)²\n const D_MINUS_ONE_SQ = /* @__PURE__ */BigInt('40440834346308536858101042469323190826248399146238708352240133220865137265952');\n // Calculates 1/√(number)\n const invertSqrt = number => uvRatio(_1n, number);\n const MAX_255B = /* @__PURE__ */BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff');\n const bytes255ToNumberLE = bytes => exports.ed25519.Point.Fp.create((0, utils_ts_1.bytesToNumberLE)(bytes) & MAX_255B);\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 const {\n d\n } = ed25519_CURVE;\n const P = ed25519_CURVE_p;\n const mod = n => Fp.create(n);\n const r = mod(SQRT_M1 * r0 * r0); // 1\n const Ns = mod((r + _1n) * ONE_MINUS_D_SQ); // 2\n let c = BigInt(-1); // 3\n const D = mod((c - d * r) * mod(r + d)); // 4\n let {\n isValid: Ns_D_is_sq,\n value: s\n } = uvRatio(Ns, D); // 5\n let 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 const Nt = mod(c * (r - _1n) * D_MINUS_ONE_SQ - D); // 9\n const s2 = s * s;\n const W0 = mod((s + s) * D); // 10\n const W1 = mod(Nt * SQRT_AD_MINUS_ONE); // 11\n const W2 = mod(_1n - s2); // 12\n const 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 const r1 = bytes255ToNumberLE(bytes.subarray(0, 32));\n const R1 = calcElligatorRistrettoMap(r1);\n const r2 = bytes255ToNumberLE(bytes.subarray(32, 64));\n const 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 class _RistrettoPoint extends edwards_ts_1.PrimeEdwardsPoint {\n constructor(ep) {\n super(ep);\n }\n static fromAffine(ap) {\n return new _RistrettoPoint(exports.ed25519.Point.fromAffine(ap));\n }\n assertSame(other) {\n if (!(other instanceof _RistrettoPoint)) throw new Error('RistrettoPoint expected');\n }\n init(ep) {\n return new _RistrettoPoint(ep);\n }\n /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */\n static hashToCurve(hex) {\n return ristretto255_map((0, utils_ts_1.ensureBytes)('ristrettoHash', hex, 64));\n }\n static fromBytes(bytes) {\n (0, utils_js_1.abytes)(bytes, 32);\n const {\n a,\n d\n } = ed25519_CURVE;\n const P = ed25519_CURVE_p;\n const mod = n => Fp.create(n);\n const 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 const s2 = mod(s * s);\n const u1 = mod(_1n + a * s2); // 4 (a is -1)\n const u2 = mod(_1n - a * s2); // 5\n const u1_2 = mod(u1 * u1);\n const u2_2 = mod(u2 * u2);\n const v = mod(a * d * u1_2 - u2_2); // 6\n const {\n isValid,\n value: I\n } = invertSqrt(mod(v * u2_2)); // 7\n const Dx = mod(I * u2); // 8\n const Dy = mod(I * Dx * v); // 9\n let x = mod((s + s) * Dx); // 10\n if ((0, modular_ts_1.isNegativeLE)(x, P)) x = mod(-x); // 10\n const y = mod(u1 * Dy); // 11\n const 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 static fromHex(hex) {\n return _RistrettoPoint.fromBytes((0, utils_ts_1.ensureBytes)('ristrettoHex', hex, 32));\n }\n static msm(points, scalars) {\n return (0, curve_ts_1.pippenger)(_RistrettoPoint, exports.ed25519.Point.Fn, points, scalars);\n }\n /**\n * Encodes ristretto point to Uint8Array.\n * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-encode).\n */\n toBytes() {\n let {\n X,\n Y,\n Z,\n T\n } = this.ep;\n const P = ed25519_CURVE_p;\n const mod = n => Fp.create(n);\n const u1 = mod(mod(Z + Y) * mod(Z - Y)); // 1\n const u2 = mod(X * Y); // 2\n // Square root always exists\n const u2sq = mod(u2 * u2);\n const {\n value: invsqrt\n } = invertSqrt(mod(u1 * u2sq)); // 3\n const D1 = mod(invsqrt * u1); // 4\n const D2 = mod(invsqrt * u2); // 5\n const zInv = mod(D1 * D2 * T); // 6\n let D; // 7\n if ((0, modular_ts_1.isNegativeLE)(T * zInv, P)) {\n let _x = mod(Y * SQRT_M1);\n let _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 let 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 equals(other) {\n this.assertSame(other);\n const {\n X: X1,\n Y: Y1\n } = this.ep;\n const {\n X: X2,\n Y: Y2\n } = other.ep;\n const mod = n => Fp.create(n);\n // (x1 * y2 == y1 * x2) | (y1 * y2 == x1 * x2)\n const one = mod(X1 * Y2) === mod(Y1 * X2);\n const two = mod(Y1 * Y2) === mod(X1 * X2);\n return one || two;\n }\n is0() {\n return this.equals(_RistrettoPoint.ZERO);\n }\n }\n // 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__ */(() => new _RistrettoPoint(exports.ed25519.Point.BASE))();\n // prettier-ignore\n _RistrettoPoint.ZERO = /* @__PURE__ */(() => new _RistrettoPoint(exports.ed25519.Point.ZERO))();\n // prettier-ignore\n _RistrettoPoint.Fp = /* @__PURE__ */(() => Fp)();\n // prettier-ignore\n _RistrettoPoint.Fn = /* @__PURE__ */(() => Fn)();\n exports.ristretto255 = {\n Point: _RistrettoPoint\n };\n /** Hashing to ristretto255 points / field. RFC 9380 methods. */\n exports.ristretto255_hasher = {\n hashToCurve(msg, options) {\n const DST = options?.DST || 'ristretto255_XMD:SHA-512_R255MAP_RO_';\n const 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(msg, options = {\n DST: hash_to_curve_ts_1._DST_scalar\n }) {\n const 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 = (() => exports.ed25519_hasher.hashToCurve)();\n /** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */\n exports.encodeToCurve = (() => exports.ed25519_hasher.encodeToCurve)();\n /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */\n exports.hashToRistretto255 = (() => exports.ristretto255_hasher.hashToCurve)();\n /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */\n exports.hash_to_ristretto255 = (() => 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8,16,198,16,"eql"],[218,19,198,19],[218,20,198,20,"tv2"],[218,23,198,23],[218,25,198,25,"gx1"],[218,28,198,28],[218,29,198,29],[218,30,198,30],[218,31,198,31],[219,4,199,4],[219,8,199,8,"xn"],[219,10,199,10],[219,13,199,13,"Fp"],[219,15,199,15],[219,16,199,16,"cmov"],[219,20,199,20],[219,21,199,21,"x2n"],[219,24,199,24],[219,26,199,26,"x1n"],[219,29,199,29],[219,31,199,31,"e3"],[219,33,199,33],[219,34,199,34],[219,35,199,35],[219,36,199,36],[220,4,200,4],[220,8,200,8,"y"],[220,9,200,9],[220,12,200,12,"Fp"],[220,14,200,14],[220,15,200,15,"cmov"],[220,19,200,19],[220,20,200,20,"y2"],[220,22,200,22],[220,24,200,24,"y1"],[220,26,200,26],[220,28,200,28,"e3"],[220,30,200,30],[220,31,200,31],[220,32,200,32],[220,33,200,33],[221,4,201,4],[221,8,201,8,"e4"],[221,10,201,10],[221,13,201,13,"Fp"],[221,15,201,15],[221,16,201,16,"isOdd"],[221,21,201,21],[221,22,201,22,"y"],[221,23,201,23],[221,24,201,24],[221,25,201,25],[221,26,201,26],[222,4,202,4,"y"],[222,5,202,5],[222,8,202,8,"Fp"],[222,10,202,10],[222,11,202,11,"cmov"],[222,15,202,15],[222,16,202,16,"y"],[222,17,202,17],[222,19,202,19,"Fp"],[222,21,202,21],[222,22,202,22,"neg"],[222,25,202,25],[222,26,202,26,"y"],[222,27,202,27],[222,28,202,28],[222,30,202,30,"e3"],[222,32,202,32],[222,37,202,37,"e4"],[222,39,202,39],[222,40,202,40],[222,41,202,41],[222,42,202,42],[223,4,203,4],[223,11,203,11],[224,6,203,13,"xMn"],[224,9,203,16],[224,11,203,18,"xn"],[224,13,203,20],[225,6,203,22,"xMd"],[225,9,203,25],[225,11,203,27,"xd"],[225,13,203,29],[226,6,203,31,"yMn"],[226,9,203,34],[226,11,203,36,"y"],[226,12,203,37],[227,6,203,39,"yMd"],[227,9,203,42],[227,11,203,44,"_1n"],[228,4,203,48],[228,5,203,49],[228,6,203,50],[228,7,203,51],[229,2,204,0],[230,2,205,0],[230,8,205,6,"ELL2_C1_EDWARDS"],[230,23,205,21],[230,26,205,24],[230,41,205,40],[230,42,205,41],[230,48,205,47],[230,49,205,48],[230,50,205,49],[230,52,205,51,"modular_ts_1"],[230,64,205,63],[230,65,205,64,"FpSqrtEven"],[230,75,205,74],[230,77,205,76,"Fp"],[230,79,205,78],[230,81,205,80,"Fp"],[230,83,205,82],[230,84,205,83,"neg"],[230,87,205,86],[230,88,205,87,"BigInt"],[230,94,205,93],[230,95,205,94],[230,101,205,100],[230,102,205,101],[230,103,205,102],[230,104,205,103],[230,106,205,105],[230,107,205,106],[230,108,205,107],[230,109,205,108],[231,2,206,0],[231,11,206,9,"map_to_curve_elligator2_edwards25519"],[231,47,206,45,"map_to_curve_elligator2_edwards25519"],[231,48,206,46,"u"],[231,49,206,47],[231,51,206,49],[232,4,207,4],[232,10,207,10],[233,6,207,12,"xMn"],[233,9,207,15],[234,6,207,17,"xMd"],[234,9,207,20],[235,6,207,22,"yMn"],[235,9,207,25],[236,6,207,27,"yMd"],[237,4,207,31],[237,5,207,32],[237,8,207,35,"map_to_curve_elligator2_curve25519"],[237,42,207,69],[237,43,207,70,"u"],[237,44,207,71],[237,45,207,72],[237,46,207,73],[237,47,207,74],[238,4,208,4],[239,4,209,4],[239,8,209,8,"xn"],[239,10,209,10],[239,13,209,13,"Fp"],[239,15,209,15],[239,16,209,16,"mul"],[239,19,209,19],[239,20,209,20,"xMn"],[239,23,209,23],[239,25,209,25,"yMd"],[239,28,209,28],[239,29,209,29],[239,30,209,30],[239,31,209,31],[240,4,210,4,"xn"],[240,6,210,6],[240,9,210,9,"Fp"],[240,11,210,11],[240,12,210,12,"mul"],[240,15,210,15],[240,16,210,16,"xn"],[240,18,210,18],[240,20,210,20,"ELL2_C1_EDWARDS"],[240,35,210,35],[240,36,210,36],[240,37,210,37],[240,38,210,38],[241,4,211,4],[241,8,211,8,"xd"],[241,10,211,10],[241,13,211,13,"Fp"],[241,15,211,15],[241,16,211,16,"mul"],[241,19,211,19],[241,20,211,20,"xMd"],[241,23,211,23],[241,25,211,25,"yMn"],[241,28,211,28],[241,29,211,29],[241,30,211,30],[241,31,211,31],[242,4,212,4],[242,8,212,8,"yn"],[242,10,212,10],[242,13,212,13,"Fp"],[242,15,212,15],[242,16,212,16,"sub"],[242,19,212,19],[242,20,212,20,"xMn"],[242,23,212,23],[242,25,212,25,"xMd"],[242,28,212,28],[242,29,212,29],[242,30,212,30],[242,31,212,31],[243,4,213,4],[243,8,213,8,"yd"],[243,10,213,10],[243,13,213,13,"Fp"],[243,15,213,15],[243,16,213,16,"add"],[243,19,213,19],[243,20,213,20,"xMn"],[243,23,213,23],[243,25,213,25,"xMd"],[243,28,213,28],[243,29,213,29],[243,30,213,30],[243,31,213,31],[244,4,214,4],[244,8,214,8,"tv1"],[244,11,214,11],[244,14,214,14,"Fp"],[244,16,214,16],[244,17,214,17,"mul"],[244,20,214,20],[244,21,214,21,"xd"],[244,23,214,23],[244,25,214,25,"yd"],[244,27,214,27],[244,28,214,28],[244,29,214,29],[244,30,214,30],[245,4,215,4],[245,8,215,8,"e"],[245,9,215,9],[245,12,215,12,"Fp"],[245,14,215,14],[245,15,215,15,"eql"],[245,18,215,18],[245,19,215,19,"tv1"],[245,22,215,22],[245,24,215,24,"Fp"],[245,26,215,26],[245,27,215,27,"ZERO"],[245,31,215,31],[245,32,215,32],[245,33,215,33],[245,34,215,34],[246,4,216,4,"xn"],[246,6,216,6],[246,9,216,9,"Fp"],[246,11,216,11],[246,12,216,12,"cmov"],[246,16,216,16],[246,17,216,17,"xn"],[246,19,216,19],[246,21,216,21,"Fp"],[246,23,216,23],[246,24,216,24,"ZERO"],[246,28,216,28],[246,30,216,30,"e"],[246,31,216,31],[246,32,216,32],[246,33,216,33],[246,34,216,34],[247,4,217,4,"xd"],[247,6,217,6],[247,9,217,9,"Fp"],[247,11,217,11],[247,12,217,12,"cmov"],[247,16,217,16],[247,17,217,17,"xd"],[247,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