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36 KiB
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{"dependencies":[{"name":"../utils.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":1,"column":0,"index":0},"end":{"line":1,"column":115,"index":115}}],"key":"dGswK136diHRCgUa8xpQUn/UMbc=","exportNames":["*"],"imports":1}},{"name":"./modular.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":2,"column":0,"index":116},"end":{"line":2,"column":50,"index":166}}],"key":"9k+FDNYf3zXm2KDVSy5nBT9psY4=","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.expand_message_xmd = expand_message_xmd;\n exports.expand_message_xof = expand_message_xof;\n exports.hash_to_field = hash_to_field;\n exports.isogenyMap = isogenyMap;\n Object.defineProperty(exports, \"_DST_scalar\", {\n enumerable: true,\n get: function () {\n return _DST_scalar;\n }\n });\n exports.createHasher = createHasher;\n var _utilsJs = require(_dependencyMap[0], \"../utils.js\");\n var _modularJs = require(_dependencyMap[1], \"./modular.js\");\n // Octet Stream to Integer. \"spec\" implementation of os2ip is 2.5x slower vs bytesToNumberBE.\n const os2ip = _utilsJs.bytesToNumberBE;\n // Integer to Octet Stream (numberToBytesBE)\n function i2osp(value, length) {\n anum(value);\n anum(length);\n if (value < 0 || value >= 1 << 8 * length) throw new Error('invalid I2OSP input: ' + value);\n const res = Array.from({\n length\n }).fill(0);\n for (let i = length - 1; i >= 0; i--) {\n res[i] = value & 0xff;\n value >>>= 8;\n }\n return new Uint8Array(res);\n }\n function strxor(a, b) {\n const arr = new Uint8Array(a.length);\n for (let i = 0; i < a.length; i++) {\n arr[i] = a[i] ^ b[i];\n }\n return arr;\n }\n function anum(item) {\n if (!Number.isSafeInteger(item)) throw new Error('number expected');\n }\n function normDST(DST) {\n if (!(0, _utilsJs.isBytes)(DST) && typeof DST !== 'string') throw new Error('DST must be Uint8Array or string');\n return typeof DST === 'string' ? (0, _utilsJs.utf8ToBytes)(DST) : DST;\n }\n /**\n * Produces a uniformly random byte string using a cryptographic hash function H that outputs b bits.\n * [RFC 9380 5.3.1](https://www.rfc-editor.org/rfc/rfc9380#section-5.3.1).\n */\n function expand_message_xmd(msg, DST, lenInBytes, H) {\n (0, _utilsJs.abytes)(msg);\n anum(lenInBytes);\n DST = normDST(DST);\n // https://www.rfc-editor.org/rfc/rfc9380#section-5.3.3\n if (DST.length > 255) DST = H((0, _utilsJs.concatBytes)((0, _utilsJs.utf8ToBytes)('H2C-OVERSIZE-DST-'), DST));\n const {\n outputLen: b_in_bytes,\n blockLen: r_in_bytes\n } = H;\n const ell = Math.ceil(lenInBytes / b_in_bytes);\n if (lenInBytes > 65535 || ell > 255) throw new Error('expand_message_xmd: invalid lenInBytes');\n const DST_prime = (0, _utilsJs.concatBytes)(DST, i2osp(DST.length, 1));\n const Z_pad = i2osp(0, r_in_bytes);\n const l_i_b_str = i2osp(lenInBytes, 2); // len_in_bytes_str\n const b = new Array(ell);\n const b_0 = H((0, _utilsJs.concatBytes)(Z_pad, msg, l_i_b_str, i2osp(0, 1), DST_prime));\n b[0] = H((0, _utilsJs.concatBytes)(b_0, i2osp(1, 1), DST_prime));\n for (let i = 1; i <= ell; i++) {\n const args = [strxor(b_0, b[i - 1]), i2osp(i + 1, 1), DST_prime];\n b[i] = H((0, _utilsJs.concatBytes)(...args));\n }\n const pseudo_random_bytes = (0, _utilsJs.concatBytes)(...b);\n return pseudo_random_bytes.slice(0, lenInBytes);\n }\n /**\n * Produces a uniformly random byte string using an extendable-output function (XOF) H.\n * 1. The collision resistance of H MUST be at least k bits.\n * 2. H MUST be an XOF that has been proved indifferentiable from\n * a random oracle under a reasonable cryptographic assumption.\n * [RFC 9380 5.3.2](https://www.rfc-editor.org/rfc/rfc9380#section-5.3.2).\n */\n function expand_message_xof(msg, DST, lenInBytes, k, H) {\n (0, _utilsJs.abytes)(msg);\n anum(lenInBytes);\n DST = normDST(DST);\n // https://www.rfc-editor.org/rfc/rfc9380#section-5.3.3\n // DST = H('H2C-OVERSIZE-DST-' || a_very_long_DST, Math.ceil((lenInBytes * k) / 8));\n if (DST.length > 255) {\n const dkLen = Math.ceil(2 * k / 8);\n DST = H.create({\n dkLen\n }).update((0, _utilsJs.utf8ToBytes)('H2C-OVERSIZE-DST-')).update(DST).digest();\n }\n if (lenInBytes > 65535 || DST.length > 255) throw new Error('expand_message_xof: invalid lenInBytes');\n return H.create({\n dkLen: lenInBytes\n }).update(msg).update(i2osp(lenInBytes, 2))\n // 2. DST_prime = DST || I2OSP(len(DST), 1)\n .update(DST).update(i2osp(DST.length, 1)).digest();\n }\n /**\n * Hashes arbitrary-length byte strings to a list of one or more elements of a finite field F.\n * [RFC 9380 5.2](https://www.rfc-editor.org/rfc/rfc9380#section-5.2).\n * @param msg a byte string containing the message to hash\n * @param count the number of elements of F to output\n * @param options `{DST: string, p: bigint, m: number, k: number, expand: 'xmd' | 'xof', hash: H}`, see above\n * @returns [u_0, ..., u_(count - 1)], a list of field elements.\n */\n function hash_to_field(msg, count, options) {\n (0, _utilsJs._validateObject)(options, {\n p: 'bigint',\n m: 'number',\n k: 'number',\n hash: 'function'\n });\n const {\n p,\n k,\n m,\n hash,\n expand,\n DST\n } = options;\n if (!(0, _utilsJs.isHash)(options.hash)) throw new Error('expected valid hash');\n (0, _utilsJs.abytes)(msg);\n anum(count);\n const log2p = p.toString(2).length;\n const L = Math.ceil((log2p + k) / 8); // section 5.1 of ietf draft link above\n const len_in_bytes = count * m * L;\n let prb; // pseudo_random_bytes\n if (expand === 'xmd') {\n prb = expand_message_xmd(msg, DST, len_in_bytes, hash);\n } else if (expand === 'xof') {\n prb = expand_message_xof(msg, DST, len_in_bytes, k, hash);\n } else if (expand === '_internal_pass') {\n // for internal tests only\n prb = msg;\n } else {\n throw new Error('expand must be \"xmd\" or \"xof\"');\n }\n const u = new Array(count);\n for (let i = 0; i < count; i++) {\n const e = new Array(m);\n for (let j = 0; j < m; j++) {\n const elm_offset = L * (j + i * m);\n const tv = prb.subarray(elm_offset, elm_offset + L);\n e[j] = (0, _modularJs.mod)(os2ip(tv), p);\n }\n u[i] = e;\n }\n return u;\n }\n function isogenyMap(field, map) {\n // Make same order as in spec\n const coeff = map.map(i => Array.from(i).reverse());\n return (x, y) => {\n const [xn, xd, yn, yd] = coeff.map(val => val.reduce((acc, i) => field.add(field.mul(acc, x), i)));\n // 6.6.3\n // Exceptional cases of iso_map are inputs that cause the denominator of\n // either rational function to evaluate to zero; such cases MUST return\n // the identity point on E.\n const [xd_inv, yd_inv] = (0, _modularJs.FpInvertBatch)(field, [xd, yd], true);\n x = field.mul(xn, xd_inv); // xNum / xDen\n y = field.mul(y, field.mul(yn, yd_inv)); // y * (yNum / yDev)\n return {\n x,\n y\n };\n };\n }\n const _DST_scalar = (0, _utilsJs.utf8ToBytes)('HashToScalar-');\n /** Creates hash-to-curve methods from EC Point and mapToCurve function. See {@link H2CHasher}. */\n function createHasher(Point, mapToCurve, defaults) {\n if (typeof mapToCurve !== 'function') throw new Error('mapToCurve() must be defined');\n function map(num) {\n return Point.fromAffine(mapToCurve(num));\n }\n function clear(initial) {\n const P = initial.clearCofactor();\n if (P.equals(Point.ZERO)) return Point.ZERO; // zero will throw in assert\n P.assertValidity();\n return P;\n }\n return {\n defaults,\n hashToCurve(msg, options) {\n const opts = Object.assign({}, defaults, options);\n const u = hash_to_field(msg, 2, opts);\n const u0 = map(u[0]);\n const u1 = map(u[1]);\n return clear(u0.add(u1));\n },\n encodeToCurve(msg, options) {\n const optsDst = defaults.encodeDST ? {\n DST: defaults.encodeDST\n } : {};\n const opts = Object.assign({}, defaults, optsDst, options);\n const u = hash_to_field(msg, 1, opts);\n const u0 = map(u[0]);\n return clear(u0);\n },\n /** See {@link H2CHasher} */\n mapToCurve(scalars) {\n if (!Array.isArray(scalars)) throw new Error('expected array of bigints');\n for (const i of scalars) if (typeof i !== 'bigint') throw new Error('expected array of bigints');\n return clear(map(scalars));\n },\n // hash_to_scalar can produce 0: https://www.rfc-editor.org/errata/eid8393\n // RFC 9380, draft-irtf-cfrg-bbs-signatures-08\n hashToScalar(msg, options) {\n // @ts-ignore\n const N = Point.Fn.ORDER;\n const opts = Object.assign({}, defaults, {\n p: N,\n m: 1,\n DST: _DST_scalar\n }, options);\n return hash_to_field(msg, 1, opts)[0][0];\n }\n };\n 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,4,"abytes"],[87,16,70,10],[87,17,70,10,"abytes"],[87,23,70,10],[87,25,70,11,"msg"],[87,28,70,14],[87,29,70,15],[88,4,71,4,"anum"],[88,8,71,8],[88,9,71,9,"lenInBytes"],[88,19,71,19],[88,20,71,20],[89,4,72,4,"DST"],[89,7,72,7],[89,10,72,10,"normDST"],[89,17,72,17],[89,18,72,18,"DST"],[89,21,72,21],[89,22,72,22],[90,4,73,4],[91,4,74,4],[92,4,75,4],[92,8,75,8,"DST"],[92,11,75,11],[92,12,75,12,"length"],[92,18,75,18],[92,21,75,21],[92,24,75,24],[92,26,75,26],[93,6,76,8],[93,12,76,14,"dkLen"],[93,17,76,19],[93,20,76,22,"Math"],[93,24,76,26],[93,25,76,27,"ceil"],[93,29,76,31],[93,30,76,33],[93,31,76,34],[93,34,76,37,"k"],[93,35,76,38],[93,38,76,42],[93,39,76,43],[93,40,76,44],[94,6,77,8,"DST"],[94,9,77,11],[94,12,77,14,"H"],[94,13,77,15],[94,14,77,16,"create"],[94,20,77,22],[94,21,77,23],[95,8,77,25,"dkLen"],[96,6,77,31],[96,7,77,32],[96,8,77,33],[96,9,77,34,"update"],[96,15,77,40],[96,16,77,41],[96,20,77,41,"utf8ToBytes"],[96,28,77,52],[96,29,77,52,"utf8ToBytes"],[96,40,77,52],[96,42,77,53],[96,61,77,72],[96,62,77,73],[96,63,77,74],[96,64,77,75,"update"],[96,70,77,81],[96,71,77,82,"DST"],[96,74,77,85],[96,75,77,86],[96,76,77,87,"digest"],[96,82,77,93],[96,83,77,94],[96,84,77,95],[97,4,78,4],[98,4,79,4],[98,8,79,8,"lenInBytes"],[98,18,79,18],[98,21,79,21],[98,26,79,26],[98,30,79,30,"DST"],[98,33,79,33],[98,34,79,34,"length"],[98,40,79,40],[98,43,79,43],[98,46,79,46],[98,48,80,8],[98,54,80,14],[98,58,80,18,"Error"],[98,63,80,23],[98,64,80,24],[98,104,80,64],[98,105,80,65],[99,4,81,4],[99,11,81,12,"H"],[99,12,81,13],[99,13,81,14,"create"],[99,19,81,20],[99,20,81,21],[100,6,81,23,"dkLen"],[100,11,81,28],[100,13,81,30,"lenInBytes"],[101,4,81,41],[101,5,81,42],[101,6,81,43],[101,7,82,9,"update"],[101,13,82,15],[101,14,82,16,"msg"],[101,17,82,19],[101,18,82,20],[101,19,83,9,"update"],[101,25,83,15],[101,26,83,16,"i2osp"],[101,31,83,21],[101,32,83,22,"lenInBytes"],[101,42,83,32],[101,44,83,34],[101,45,83,35],[101,46,83,36],[102,4,84,8],[103,4,84,8],[103,5,85,9,"update"],[103,11,85,15],[103,12,85,16,"DST"],[103,15,85,19],[103,16,85,20],[103,17,86,9,"update"],[103,23,86,15],[103,24,86,16,"i2osp"],[103,29,86,21],[103,30,86,22,"DST"],[103,33,86,25],[103,34,86,26,"length"],[103,40,86,32],[103,42,86,34],[103,43,86,35],[103,44,86,36],[103,45,86,37],[103,46,87,9,"digest"],[103,52,87,15],[103,53,87,16],[103,54,87,17],[104,2,88,0],[105,2,89,0],[106,0,90,0],[107,0,91,0],[108,0,92,0],[109,0,93,0],[110,0,94,0],[111,0,95,0],[112,0,96,0],[113,2,97,7],[113,11,97,16,"hash_to_field"],[113,24,97,29,"hash_to_field"],[113,25,97,30,"msg"],[113,28,97,33],[113,30,97,35,"count"],[113,35,97,40],[113,37,97,42,"options"],[113,44,97,49],[113,46,97,51],[114,4,98,4],[114,8,98,4,"_validateObject"],[114,16,98,19],[114,17,98,19,"_validateObject"],[114,32,98,19],[114,34,98,20,"options"],[114,41,98,27],[114,43,98,29],[115,6,99,8,"p"],[115,7,99,9],[115,9,99,11],[115,17,99,19],[116,6,100,8,"m"],[116,7,100,9],[116,9,100,11],[116,17,100,19],[117,6,101,8,"k"],[117,7,101,9],[117,9,101,11],[117,17,101,19],[118,6,102,8,"hash"],[118,10,102,12],[118,12,102,14],[119,4,103,4],[119,5,103,5],[119,6,103,6],[120,4,104,4],[120,10,104,10],[121,6,104,12,"p"],[121,7,104,13],[122,6,104,15,"k"],[122,7,104,16],[123,6,104,18,"m"],[123,7,104,19],[124,6,104,21,"hash"],[124,10,104,25],[125,6,104,27,"expand"],[125,12,104,33],[126,6,104,35,"DST"],[127,4,104,39],[127,5,104,40],[127,8,104,43,"options"],[127,15,104,50],[128,4,105,4],[128,8,105,8],[128,9,105,9],[128,13,105,9,"isHash"],[128,21,105,15],[128,22,105,15,"isHash"],[128,28,105,15],[128,30,105,16,"options"],[128,37,105,23],[128,38,105,24,"hash"],[128,42,105,28],[128,43,105,29],[128,45,106,8],[128,51,106,14],[128,55,106,18,"Error"],[128,60,106,23],[128,61,106,24],[128,82,106,45],[128,83,106,46],[129,4,107,4],[129,8,107,4,"abytes"],[129,16,107,10],[129,17,107,10,"abytes"],[129,23,107,10],[129,25,107,11,"msg"],[129,28,107,14],[129,29,107,15],[130,4,108,4,"anum"],[130,8,108,8],[130,9,108,9,"count"],[130,14,108,14],[130,15,108,15],[131,4,109,4],[131,10,109,10,"log2p"],[131,15,109,15],[131,18,109,18,"p"],[131,19,109,19],[131,20,109,20,"toString"],[131,28,109,28],[131,29,109,29],[131,30,109,30],[131,31,109,31],[131,32,109,32,"length"],[131,38,109,38],[132,4,110,4],[132,10,110,10,"L"],[132,11,110,11],[132,14,110,14,"Math"],[132,18,110,18],[132,19,110,19,"ceil"],[132,23,110,23],[132,24,110,24],[132,25,110,25,"log2p"],[132,30,110,30],[132,33,110,33,"k"],[132,34,110,34],[132,38,110,38],[132,39,110,39],[132,40,110,40],[132,41,110,41],[132,42,110,42],[133,4,111,4],[133,10,111,10,"len_in_bytes"],[133,22,111,22],[133,25,111,25,"count"],[133,30,111,30],[133,33,111,33,"m"],[133,34,111,34],[133,37,111,37,"L"],[133,38,111,38],[134,4,112,4],[134,8,112,8,"prb"],[134,11,112,11],[134,12,112,12],[134,13,112,13],[135,4,113,4],[135,8,113,8,"expand"],[135,14,113,14],[135,19,113,19],[135,24,113,24],[135,26,113,26],[136,6,114,8,"prb"],[136,9,114,11],[136,12,114,14,"expand_message_xmd"],[136,30,114,32],[136,31,114,33,"msg"],[136,34,114,36],[136,36,114,38,"DST"],[136,39,114,41],[136,41,114,43,"len_in_bytes"],[136,53,114,55],[136,55,114,57,"hash"],[136,59,114,61],[136,60,114,62],[137,4,115,4],[137,5,115,5],[137,11,116,9],[137,15,116,13,"expand"],[137,21,116,19],[137,26,116,24],[137,31,116,29],[137,33,116,31],[138,6,117,8,"prb"],[138,9,117,11],[138,12,117,14,"expand_message_xof"],[138,30,117,32],[138,31,117,33,"msg"],[138,34,117,36],[138,36,117,38,"DST"],[138,39,117,41],[138,41,117,43,"len_in_bytes"],[138,53,117,55],[138,55,117,57,"k"],[138,56,117,58],[138,58,117,60,"hash"],[138,62,117,64],[138,63,117,65],[139,4,118,4],[139,5,118,5],[139,11,119,9],[139,15,119,13,"expand"],[139,21,119,19],[139,26,119,24],[139,42,119,40],[139,44,119,42],[140,6,120,8],[141,6,121,8,"prb"],[141,9,121,11],[141,12,121,14,"msg"],[141,15,121,17],[142,4,122,4],[142,5,122,5],[142,11,123,9],[143,6,124,8],[143,12,124,14],[143,16,124,18,"Error"],[143,21,124,23],[143,22,124,24],[143,53,124,55],[143,54,124,56],[144,4,125,4],[145,4,126,4],[145,10,126,10,"u"],[145,11,126,11],[145,14,126,14],[145,18,126,18,"Array"],[145,23,126,23],[145,24,126,24,"count"],[145,29,126,29],[145,30,126,30],[146,4,127,4],[146,9,127,9],[146,13,127,13,"i"],[146,14,127,14],[146,17,127,17],[146,18,127,18],[146,20,127,20,"i"],[146,21,127,21],[146,24,127,24,"count"],[146,29,127,29],[146,31,127,31,"i"],[146,32,127,32],[146,34,127,34],[146,36,127,36],[147,6,128,8],[147,12,128,14,"e"],[147,13,128,15],[147,16,128,18],[147,20,128,22,"Array"],[147,25,128,27],[147,26,128,28,"m"],[147,27,128,29],[147,28,128,30],[148,6,129,8],[148,11,129,13],[148,15,129,17,"j"],[148,16,129,18],[148,19,129,21],[148,20,129,22],[148,22,129,24,"j"],[148,23,129,25],[148,26,129,28,"m"],[148,27,129,29],[148,29,129,31,"j"],[148,30,129,32],[148,32,129,34],[148,34,129,36],[149,8,130,12],[149,14,130,18,"elm_offset"],[149,24,130,28],[149,27,130,31,"L"],[149,28,130,32],[149,32,130,36,"j"],[149,33,130,37],[149,36,130,40,"i"],[149,37,130,41],[149,40,130,44,"m"],[149,41,130,45],[149,42,130,46],[150,8,131,12],[150,14,131,18,"tv"],[150,16,131,20],[150,19,131,23,"prb"],[150,22,131,26],[150,23,131,27,"subarray"],[150,31,131,35],[150,32,131,36,"elm_offset"],[150,42,131,46],[150,44,131,48,"elm_offset"],[150,54,131,58],[150,57,131,61,"L"],[150,58,131,62],[150,59,131,63],[151,8,132,12,"e"],[151,9,132,13],[151,10,132,14,"j"],[151,11,132,15],[151,12,132,16],[151,15,132,19],[151,19,132,19,"mod"],[151,29,132,22],[151,30,132,22,"mod"],[151,33,132,22],[151,35,132,23,"os2ip"],[151,40,132,28],[151,41,132,29,"tv"],[151,43,132,31],[151,44,132,32],[151,46,132,34,"p"],[151,47,132,35],[151,48,132,36],[152,6,133,8],[153,6,134,8,"u"],[153,7,134,9],[153,8,134,10,"i"],[153,9,134,11],[153,10,134,12],[153,13,134,15,"e"],[153,14,134,16],[154,4,135,4],[155,4,136,4],[155,11,136,11,"u"],[155,12,136,12],[156,2,137,0],[157,2,138,7],[157,11,138,16,"isogenyMap"],[157,21,138,26,"isogenyMap"],[157,22,138,27,"field"],[157,27,138,32],[157,29,138,34,"map"],[157,32,138,37],[157,34,138,39],[158,4,139,4],[159,4,140,4],[159,10,140,10,"coeff"],[159,15,140,15],[159,18,140,18,"map"],[159,21,140,21],[159,22,140,22,"map"],[159,25,140,25],[159,26,140,27,"i"],[159,27,140,28],[159,31,140,33,"Array"],[159,36,140,38],[159,37,140,39,"from"],[159,41,140,43],[159,42,140,44,"i"],[159,43,140,45],[159,44,140,46],[159,45,140,47,"reverse"],[159,52,140,54],[159,53,140,55],[159,54,140,56],[159,55,140,57],[160,4,141,4],[160,11,141,11],[160,12,141,12,"x"],[160,13,141,13],[160,15,141,15,"y"],[160,16,141,16],[160,21,141,21],[161,6,142,8],[161,12,142,14],[161,13,142,15,"xn"],[161,15,142,17],[161,17,142,19,"xd"],[161,19,142,21],[161,21,142,23,"yn"],[161,23,142,25],[161,25,142,27,"yd"],[161,27,142,29],[161,28,142,30],[161,31,142,33,"coeff"],[161,36,142,38],[161,37,142,39,"map"],[161,40,142,42],[161,41,142,44,"val"],[161,44,142,47],[161,48,142,52,"val"],[161,51,142,55],[161,52,142,56,"reduce"],[161,58,142,62],[161,59,142,63],[161,60,142,64,"acc"],[161,63,142,67],[161,65,142,69,"i"],[161,66,142,70],[161,71,142,75,"field"],[161,76,142,80],[161,77,142,81,"add"],[161,80,142,84],[161,81,142,85,"field"],[161,86,142,90],[161,87,142,91,"mul"],[161,90,142,94],[161,91,142,95,"acc"],[161,94,142,98],[161,96,142,100,"x"],[161,97,142,101],[161,98,142,102],[161,100,142,104,"i"],[161,101,142,105],[161,102,142,106],[161,103,142,107],[161,104,142,108],[162,6,143,8],[163,6,144,8],[164,6,145,8],[165,6,146,8],[166,6,147,8],[166,12,147,14],[166,13,147,15,"xd_inv"],[166,19,147,21],[166,21,147,23,"yd_inv"],[166,27,147,29],[166,28,147,30],[166,31,147,33],[166,35,147,33,"FpInvertBatch"],[166,45,147,46],[166,46,147,46,"FpInvertBatch"],[166,59,147,46],[166,61,147,47,"field"],[166,66,147,52],[166,68,147,54],[166,69,147,55,"xd"],[166,71,147,57],[166,73,147,59,"yd"],[166,75,147,61],[166,76,147,62],[166,78,147,64],[166,82,147,68],[166,83,147,69],[167,6,148,8,"x"],[167,7,148,9],[167,10,148,12,"field"],[167,15,148,17],[167,16,148,18,"mul"],[167,19,148,21],[167,20,148,22,"xn"],[167,22,148,24],[167,24,148,26,"xd_inv"],[167,30,148,32],[167,31,148,33],[167,32,148,34],[167,33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