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emergent-agent-e1
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98 KiB
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1 line
98 KiB
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{"dependencies":[{"name":"@noble/hashes/sha2.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":9,"column":0,"index":257},"end":{"line":9,"column":47,"index":304}}],"key":"6+AQdZFmgXxbBRsj7vXjiW169Ao=","exportNames":["*"],"imports":1}},{"name":"@noble/hashes/utils.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":10,"column":0,"index":305},"end":{"line":10,"column":74,"index":379}}],"key":"9JUbQ31V1iDWPVrlEOLWo2H+V7Q=","exportNames":["*"],"imports":1}},{"name":"./abstract/curve.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":11,"column":0,"index":380},"end":{"line":11,"column":48,"index":428}}],"key":"aA5jjFGGjX4GOw/FS2nK17UOhXQ=","exportNames":["*"],"imports":1}},{"name":"./abstract/edwards.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":12,"column":0,"index":429},"end":{"line":12,"column":75,"index":504}}],"key":"huc/9FhnHVOEeFoK1MBBo0sg5vQ=","exportNames":["*"],"imports":1}},{"name":"./abstract/hash-to-curve.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":13,"column":0,"index":505},"end":{"line":13,"column":93,"index":598}}],"key":"6cIrPYlRjjJUQl2gr4hN6UWsQZg=","exportNames":["*"],"imports":1}},{"name":"./abstract/modular.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":14,"column":0,"index":599},"end":{"line":14,"column":99,"index":698}}],"key":"x/hC1jRUt/ly9bL40f8FeUx///E=","exportNames":["*"],"imports":1}},{"name":"./abstract/montgomery.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":15,"column":0,"index":699},"end":{"line":15,"column":54,"index":753}}],"key":"ld9obsz1IIawMjzsCFr0eOuZ4YA=","exportNames":["*"],"imports":1}},{"name":"./utils.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":16,"column":0,"index":754},"end":{"line":16,"column":70,"index":824}}],"key":"NIaSEHO1E48gsZc7jH9Ex1xTHgE=","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 Object.defineProperty(exports, \"ed25519\", {\n enumerable: true,\n get: function () {\n return ed25519;\n }\n });\n Object.defineProperty(exports, \"ed25519ctx\", {\n enumerable: true,\n get: function () {\n return ed25519ctx;\n }\n });\n Object.defineProperty(exports, \"ed25519ph\", {\n enumerable: true,\n get: function () {\n return ed25519ph;\n }\n });\n Object.defineProperty(exports, \"x25519\", {\n enumerable: true,\n get: function () {\n return x25519;\n }\n });\n Object.defineProperty(exports, \"ed25519_hasher\", {\n enumerable: true,\n get: function () {\n return ed25519_hasher;\n }\n });\n Object.defineProperty(exports, \"ristretto255\", {\n enumerable: true,\n get: function () {\n return ristretto255;\n }\n });\n Object.defineProperty(exports, \"ristretto255_hasher\", {\n enumerable: true,\n get: function () {\n return ristretto255_hasher;\n }\n });\n Object.defineProperty(exports, \"ED25519_TORSION_SUBGROUP\", {\n enumerable: true,\n get: function () {\n return ED25519_TORSION_SUBGROUP;\n }\n });\n exports.edwardsToMontgomeryPub = edwardsToMontgomeryPub;\n Object.defineProperty(exports, \"edwardsToMontgomery\", {\n enumerable: true,\n get: function () {\n return edwardsToMontgomery;\n }\n });\n exports.edwardsToMontgomeryPriv = edwardsToMontgomeryPriv;\n Object.defineProperty(exports, \"RistrettoPoint\", {\n enumerable: true,\n get: function () {\n return RistrettoPoint;\n }\n });\n Object.defineProperty(exports, \"hashToCurve\", {\n enumerable: true,\n get: function () {\n return hashToCurve;\n }\n });\n Object.defineProperty(exports, \"encodeToCurve\", {\n enumerable: true,\n get: function () {\n return encodeToCurve;\n }\n });\n Object.defineProperty(exports, \"hashToRistretto255\", {\n enumerable: true,\n get: function () {\n return hashToRistretto255;\n }\n });\n Object.defineProperty(exports, \"hash_to_ristretto255\", {\n enumerable: true,\n get: function () {\n return hash_to_ristretto255;\n }\n });\n var _nobleHashesSha2Js = require(_dependencyMap[0], \"@noble/hashes/sha2.js\");\n var _nobleHashesUtilsJs = require(_dependencyMap[1], \"@noble/hashes/utils.js\");\n var _abstractCurveJs = require(_dependencyMap[2], \"./abstract/curve.js\");\n var _abstractEdwardsJs = require(_dependencyMap[3], \"./abstract/edwards.js\");\n var _abstractHashToCurveJs = require(_dependencyMap[4], \"./abstract/hash-to-curve.js\");\n var _abstractModularJs = require(_dependencyMap[5], \"./abstract/modular.js\");\n var _abstractMontgomeryJs = require(_dependencyMap[6], \"./abstract/montgomery.js\");\n var _utilsJs = require(_dependencyMap[7], \"./utils.js\");\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\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, _abstractModularJs.pow2)(b2, _2n, P) * b2 % P; // x^15, 1111\n const b5 = (0, _abstractModularJs.pow2)(b4, _1n, P) * x % P; // x^31\n const b10 = (0, _abstractModularJs.pow2)(b5, _5n, P) * b5 % P;\n const b20 = (0, _abstractModularJs.pow2)(b10, _10n, P) * b10 % P;\n const b40 = (0, _abstractModularJs.pow2)(b20, _20n, P) * b20 % P;\n const b80 = (0, _abstractModularJs.pow2)(b40, _40n, P) * b40 % P;\n const b160 = (0, _abstractModularJs.pow2)(b80, _80n, P) * b80 % P;\n const b240 = (0, _abstractModularJs.pow2)(b160, _80n, P) * b80 % P;\n const b250 = (0, _abstractModularJs.pow2)(b240, _10n, P) * b10 % P;\n const pow_p_5_8 = (0, _abstractModularJs.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, _abstractModularJs.mod)(v * v * v, P); // v³\n const v7 = (0, _abstractModularJs.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, _abstractModularJs.mod)(u * v3 * pow, P); // (uv³)(uv⁷)^(p-5)/8\n const vx2 = (0, _abstractModularJs.mod)(v * x * x, P); // vx²\n const root1 = x; // First root candidate\n const root2 = (0, _abstractModularJs.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, _abstractModularJs.mod)(-u, P); // If vx² = -u, set x <-- x * 2^((p-1)/4)\n const noRoot = vx2 === (0, _abstractModularJs.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, _abstractModularJs.isNegativeLE)(x, P)) x = (0, _abstractModularJs.mod)(-x, P);\n return {\n isValid: useRoot1 || useRoot2,\n value: x\n };\n }\n const Fp = /* @__PURE__ */(() => (0, _abstractModularJs.Field)(ed25519_CURVE.p, {\n isLE: true\n }))();\n const Fn = /* @__PURE__ */(() => (0, _abstractModularJs.Field)(ed25519_CURVE.n, {\n isLE: true\n }))();\n const ed25519Defaults = /* @__PURE__ */(() => Object.assign({}, ed25519_CURVE, {\n Fp,\n hash: _nobleHashesSha2Js.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 const ed25519 = /* @__PURE__ */(() => (0, _abstractEdwardsJs.twistedEdwards)(ed25519Defaults))();\n function ed25519_domain(data, ctx, phflag) {\n if (ctx.length > 255) throw new Error('Context is too big');\n return (0, _nobleHashesUtilsJs.concatBytes)((0, _nobleHashesUtilsJs.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 const ed25519ctx = /* @__PURE__ */(() => (0, _abstractEdwardsJs.twistedEdwards)(Object.assign({}, ed25519Defaults, {\n domain: ed25519_domain\n })))();\n /** Prehashed version of ed25519. Accepts already-hashed messages in sign() and verify(). */\n const ed25519ph = /* @__PURE__ */(() => (0, _abstractEdwardsJs.twistedEdwards)(Object.assign({}, ed25519Defaults, {\n domain: ed25519_domain,\n prehash: _nobleHashesSha2Js.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 const x25519 = /* @__PURE__ */(() => {\n const P = Fp.ORDER;\n return (0, _abstractMontgomeryJs.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, _abstractModularJs.mod)((0, _abstractModularJs.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, _abstractModularJs.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, _abstractModularJs.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 const ed25519_hasher = /* @__PURE__ */(() => (0, _abstractHashToCurveJs.createHasher)(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: _nobleHashesSha2Js.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 => ed25519.Point.Fp.create((0, _utilsJs.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, _abstractModularJs.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 ed25519.Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));\n }\n function ristretto255_map(bytes) {\n (0, _nobleHashesUtilsJs.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 _abstractEdwardsJs.PrimeEdwardsPoint {\n constructor(ep) {\n super(ep);\n }\n static fromAffine(ap) {\n return new _RistrettoPoint(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, _utilsJs.ensureBytes)('ristrettoHash', hex, 64));\n }\n static fromBytes(bytes) {\n (0, _nobleHashesUtilsJs.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, _utilsJs.equalBytes)(Fp.toBytes(s), bytes) || (0, _abstractModularJs.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, _abstractModularJs.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, _abstractModularJs.isNegativeLE)(t, P) || y === _0n) throw new Error('invalid ristretto255 encoding 2');\n return new _RistrettoPoint(new 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, _utilsJs.ensureBytes)('ristrettoHex', hex, 32));\n }\n static msm(points, scalars) {\n return (0, _abstractCurveJs.pippenger)(_RistrettoPoint, 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, _abstractModularJs.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, _abstractModularJs.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, _abstractModularJs.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(ed25519.Point.BASE))();\n // prettier-ignore\n _RistrettoPoint.ZERO = /* @__PURE__ */(() => new _RistrettoPoint(ed25519.Point.ZERO))();\n // prettier-ignore\n _RistrettoPoint.Fp = /* @__PURE__ */(() => Fp)();\n // prettier-ignore\n _RistrettoPoint.Fn = /* @__PURE__ */(() => Fn)();\n const ristretto255 = {\n Point: _RistrettoPoint\n };\n /** Hashing to ristretto255 points / field. RFC 9380 methods. */\n const ristretto255_hasher = {\n hashToCurve(msg, options) {\n const DST = options?.DST || 'ristretto255_XMD:SHA-512_R255MAP_RO_';\n const xmd = (0, _abstractHashToCurveJs.expand_message_xmd)(msg, DST, 64, _nobleHashesSha2Js.sha512);\n return ristretto255_map(xmd);\n },\n hashToScalar(msg, options = {\n DST: _abstractHashToCurveJs._DST_scalar\n }) {\n const xmd = (0, _abstractHashToCurveJs.expand_message_xmd)(msg, options.DST, 64, _nobleHashesSha2Js.sha512);\n return Fn.create((0, _utilsJs.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 const ED25519_TORSION_SUBGROUP = ['0100000000000000000000000000000000000000000000000000000000000000', 'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac037a', '0000000000000000000000000000000000000000000000000000000000000080', '26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc05', 'ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc85', '0000000000000000000000000000000000000000000000000000000000000000', 'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac03fa'];\n /** @deprecated use `ed25519.utils.toMontgomery` */\n function edwardsToMontgomeryPub(edwardsPub) {\n return ed25519.utils.toMontgomery((0, _utilsJs.ensureBytes)('pub', edwardsPub));\n }\n /** @deprecated use `ed25519.utils.toMontgomery` */\n const edwardsToMontgomery = edwardsToMontgomeryPub;\n /** @deprecated use `ed25519.utils.toMontgomerySecret` */\n function edwardsToMontgomeryPriv(edwardsPriv) {\n return ed25519.utils.toMontgomerySecret((0, _utilsJs.ensureBytes)('pub', edwardsPriv));\n }\n /** @deprecated use `ristretto255.Point` */\n const RistrettoPoint = _RistrettoPoint;\n /** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */\n const hashToCurve = /* @__PURE__ */(() => ed25519_hasher.hashToCurve)();\n /** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */\n const encodeToCurve = /* @__PURE__ */(() => ed25519_hasher.encodeToCurve)();\n /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */\n const hashToRistretto255 = /* @__PURE__ */(() => ristretto255_hasher.hashToCurve)();\n /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */\n const hash_to_ristretto255 = /* @__PURE__ */(() => 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69,20,162,20,"tv1"],[269,23,162,23],[269,25,162,25,"Fp"],[269,27,162,27],[269,28,162,28,"ONE"],[269,31,162,31],[269,32,162,32],[269,33,162,33],[269,34,162,34],[270,4,163,4],[270,8,163,8,"x1n"],[270,11,163,11],[270,14,163,14,"Fp"],[270,16,163,16],[270,17,163,17,"neg"],[270,20,163,20],[270,21,163,21,"ELL2_J"],[270,27,163,27],[270,28,163,28],[270,29,163,29],[270,30,163,30],[271,4,164,4],[271,8,164,8,"tv2"],[271,11,164,11],[271,14,164,14,"Fp"],[271,16,164,16],[271,17,164,17,"sqr"],[271,20,164,20],[271,21,164,21,"xd"],[271,23,164,23],[271,24,164,24],[271,25,164,25],[271,26,164,26],[272,4,165,4],[272,8,165,8,"gxd"],[272,11,165,11],[272,14,165,14,"Fp"],[272,16,165,16],[272,17,165,17,"mul"],[272,20,165,20],[272,21,165,21,"tv2"],[272,24,165,24],[272,26,165,26,"xd"],[272,28,165,28],[272,29,165,29],[272,30,165,30],[272,31,165,31],[273,4,166,4],[273,8,166,8,"gx1"],[273,11,166,11],[273,14,166,14,"Fp"],[273,16,166,16],[273,17,166,17,"mul"],[273,20,166,20],[273,21,166,21,"tv1"],[273,24,166,24],[273,26,166,26,"ELL2_J"],[273,32,166,32],[273,33,166,33],[273,34,166,34],[273,35,166,35],[274,4,167,4,"gx1"],[274,7,167,7],[274,10,167,10,"Fp"],[274,12,167,12],[274,13,167,13,"mul"],[274,16,167,16],[274,17,167,17,"gx1"],[274,20,167,20],[274,22,167,22,"x1n"],[274,25,167,25],[274,26,167,26],[274,27,167,27],[274,28,167,28],[275,4,168,4,"gx1"],[275,7,168,7],[275,10,168,10,"Fp"],[275,12,168,12],[275,13,168,13,"add"],[275,16,168,16],[275,17,168,17,"gx1"],[275,20,168,20],[275,22,168,22,"tv2"],[275,25,168,25],[275,26,168,26],[275,27,168,27],[275,28,168,28],[276,4,169,4,"gx1"],[276,7,169,7],[276,10,169,10,"Fp"],[276,12,169,12],[276,13,169,13,"mul"],[276,16,169,16],[276,17,169,17,"gx1"],[276,20,169,20],[276,22,169,22,"x1n"],[276,25,169,25],[276,26,169,26],[276,27,169,27],[276,28,169,28],[277,4,170,4],[277,8,170,8,"tv3"],[277,11,170,11],[277,14,170,14,"Fp"],[277,16,170,16],[277,17,170,17,"sqr"],[277,20,170,20],[277,21,170,21,"gxd"],[277,24,170,24],[277,25,170,25],[277,26,170,26],[277,27,170,27],[278,4,171,4,"tv2"],[278,7,171,7],[278,10,171,10,"Fp"],[278,12,171,12],[278,13,171,13,"sqr"],[278,16,171,16],[278,17,171,17,"tv3"],[278,20,171,20],[278,21,171,21],[278,22,171,22],[278,23,171,23],[279,4,172,4,"tv3"],[279,7,172,7],[279,10,172,10,"Fp"],[279,12,172,12],[279,13,172,13,"mul"],[279,16,172,16],[279,17,172,17,"tv3"],[279,20,172,20],[279,22,172,22,"gxd"],[279,25,172,25],[279,26,172,26],[279,27,172,27],[279,28,172,28],[280,4,173,4,"tv3"],[280,7,173,7],[280,10,173,10,"Fp"],[280,12,173,12],[280,13,173,13,"mul"],[280,16,173,16],[280,17,173,17,"tv3"],[280,20,173,20],[280,22,173,22,"gx1"],[280,25,173,25],[280,26,173,26],[280,27,173,27],[280,28,173,28],[281,4,174,4,"tv2"],[281,7,174,7],[281,10,174,10,"Fp"],[281,12,174,12],[281,13,174,13,"mul"],[281,16,174,16],[281,17,174,17,"tv2"],[281,20,174,20],[281,22,174,22,"tv3"],[281,25,174,25],[281,26,174,26],[281,27,174,27],[281,28,174,28],[282,4,175,4],[282,8,175,8,"y11"],[282,11,175,11],[282,14,175,14,"Fp"],[282,16,175,16],[282,17,175,17,"pow"],[282,20,175,20],[282,21,175,21,"tv2"],[282,24,175,24],[282,26,175,26,"ELL2_C4"],[282,33,175,33],[282,34,175,34],[282,35,175,35],[282,36,175,36],[283,4,176,4,"y11"],[283,7,176,7],[283,10,176,10,"Fp"],[283,12,176,12],[283,13,176,13,"mul"],[283,16,176,16],[283,17,176,17,"y11"],[283,20,176,20],[283,22,176,22,"tv3"],[283,25,176,25],[283,26,176,26],[283,27,176,27],[283,28,176,28],[284,4,177,4],[284,8,177,8,"y12"],[284,11,177,11],[284,14,177,14,"Fp"],[284,16,177,16],[284,17,177,17,"mul"],[284,20,177,20],[284,21,177,21,"y11"],[284,24,177,24],[284,26,177,26,"ELL2_C3"],[284,33,177,33],[284,34,177,34],[284,35,177,35],[284,36,177,36],[285,4,178,4,"tv2"],[285,7,178,7],[285,10,178,10,"Fp"],[285,12,178,12],[285,13,178,13,"sqr"],[285,16,178,16],[285,17,178,17,"y11"],[285,20,178,20],[285,21,178,21],[285,22,178,22],[285,23,178,23],[286,4,179,4,"tv2"],[286,7,179,7],[286,10,179,10,"Fp"],[286,12,179,12],[286,13,179,13,"mul"],[286,16,179,16],[286,17,179,17,"tv2"],[286,20,179,20],[286,22,179,22,"gxd"],[286,25,179,25],[286,26,179,26],[286,27,179,27],[286,28,179,28],[287,4,180,4],[287,8,180,8,"e1"],[287,10,180,10],[287,13,180,13,"Fp"],[287,15,180,15],[287,16,180,16,"eql"],[287,19,180,19],[287,20,180,20,"tv2"],[287,23,180,23],[287,25,180,25,"gx1"],[287,28,180,28],[287,29,180,29],[287,30,180,30],[287,31,180,31],[288,4,181,4],[288,8,181,8,"y1"],[288,10,181,10],[288,13,181,13,"Fp"],[288,15,181,15],[288,16,181,16,"cmov"],[288,20,181,20],[288,21,181,21,"y12"],[288,24,181,24],[288,26,181,26,"y11"],[288,29,181,29],[288,31,181,31,"e1"],[288,33,181,33],[288,34,181,34],[288,35,181,35],[288,36,181,36],[289,4,182,4],[289,8,182,8,"x2n"],[289,11,182,11],[289,14,182,14,"Fp"],[289,16,182,16],[289,17,182,17,"mul"],[289,20,182,20],[289,21,182,21,"x1n"],[289,24,182,24],[289,26,182,26,"tv1"],[289,29,182,29],[289,30,182,30],[289,31,182,31],[289,32,182,32],[290,4,183,4],[290,8,183,8,"y21"],[290,11,183,11],[290,14,183,14,"Fp"],[290,16,183,16],[290,17,183,17,"mul"],[290,20,183,20],[290,21,183,21,"y11"],[290,24,183,24],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