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{\n\tthis.seq().obj(\n\t\tthis.key('algorithm').use(AlgorithmIdentifier),\n\t\tthis.key('subjectPublicKey').bitstr()\n\t);\n});\n\nvar RelativeDistinguishedName = asn.define('RelativeDistinguishedName', function () {\n\tthis.setof(AttributeTypeValue);\n});\n\nvar RDNSequence = asn.define('RDNSequence', function () {\n\tthis.seqof(RelativeDistinguishedName);\n});\n\nvar Name = asn.define('Name', function () {\n\tthis.choice({\n\t\trdnSequence: this.use(RDNSequence)\n\t});\n});\n\nvar Validity = asn.define('Validity', function () {\n\tthis.seq().obj(\n\t\tthis.key('notBefore').use(Time),\n\t\tthis.key('notAfter').use(Time)\n\t);\n});\n\nvar Extension = asn.define('Extension', function () {\n\tthis.seq().obj(\n\t\tthis.key('extnID').objid(),\n\t\tthis.key('critical').bool().def(false),\n\t\tthis.key('extnValue').octstr()\n\t);\n});\n\nvar TBSCertificate = asn.define('TBSCertificate', function () {\n\tthis.seq().obj(\n\t\tthis.key('version').explicit(0)['int']().optional(),\n\t\tthis.key('serialNumber')['int'](),\n\t\tthis.key('signature').use(AlgorithmIdentifier),\n\t\tthis.key('issuer').use(Name),\n\t\tthis.key('validity').use(Validity),\n\t\tthis.key('subject').use(Name),\n\t\tthis.key('subjectPublicKeyInfo').use(SubjectPublicKeyInfo),\n\t\tthis.key('issuerUniqueID').implicit(1).bitstr().optional(),\n\t\tthis.key('subjectUniqueID').implicit(2).bitstr().optional(),\n\t\tthis.key('extensions').explicit(3).seqof(Extension).optional()\n\t);\n});\n\nvar X509Certificate = asn.define('X509Certificate', function () {\n\tthis.seq().obj(\n\t\tthis.key('tbsCertificate').use(TBSCertificate),\n\t\tthis.key('signatureAlgorithm').use(AlgorithmIdentifier),\n\t\tthis.key('signatureValue').bitstr()\n\t);\n});\n\nmodule.exports = X509Certificate;\n","// from https://github.com/indutny/self-signed/blob/gh-pages/lib/asn1.js\n// Fedor, you are amazing.\n\n'use strict';\n\nvar asn1 = require('asn1.js');\n\nexports.certificate = require('./certificate');\n\nvar RSAPrivateKey = asn1.define('RSAPrivateKey', function () {\n\tthis.seq().obj(\n\t\tthis.key('version')['int'](),\n\t\tthis.key('modulus')['int'](),\n\t\tthis.key('publicExponent')['int'](),\n\t\tthis.key('privateExponent')['int'](),\n\t\tthis.key('prime1')['int'](),\n\t\tthis.key('prime2')['int'](),\n\t\tthis.key('exponent1')['int'](),\n\t\tthis.key('exponent2')['int'](),\n\t\tthis.key('coefficient')['int']()\n\t);\n});\nexports.RSAPrivateKey = RSAPrivateKey;\n\nvar RSAPublicKey = asn1.define('RSAPublicKey', function () {\n\tthis.seq().obj(\n\t\tthis.key('modulus')['int'](),\n\t\tthis.key('publicExponent')['int']()\n\t);\n});\nexports.RSAPublicKey = RSAPublicKey;\n\nvar AlgorithmIdentifier = asn1.define('AlgorithmIdentifier', function () {\n\tthis.seq().obj(\n\t\tthis.key('algorithm').objid(),\n\t\tthis.key('none').null_().optional(),\n\t\tthis.key('curve').objid().optional(),\n\t\tthis.key('params').seq().obj(\n\t\t\tthis.key('p')['int'](),\n\t\t\tthis.key('q')['int'](),\n\t\t\tthis.key('g')['int']()\n\t\t).optional()\n\t);\n});\n\nvar PublicKey = asn1.define('SubjectPublicKeyInfo', function () {\n\tthis.seq().obj(\n\t\tthis.key('algorithm').use(AlgorithmIdentifier),\n\t\tthis.key('subjectPublicKey').bitstr()\n\t);\n});\nexports.PublicKey = PublicKey;\n\nvar PrivateKeyInfo = asn1.define('PrivateKeyInfo', function () {\n\tthis.seq().obj(\n\t\tthis.key('version')['int'](),\n\t\tthis.key('algorithm').use(AlgorithmIdentifier),\n\t\tthis.key('subjectPrivateKey').octstr()\n\t);\n});\nexports.PrivateKey = PrivateKeyInfo;\nvar EncryptedPrivateKeyInfo = asn1.define('EncryptedPrivateKeyInfo', function () {\n\tthis.seq().obj(\n\t\tthis.key('algorithm').seq().obj(\n\t\t\tthis.key('id').objid(),\n\t\t\tthis.key('decrypt').seq().obj(\n\t\t\t\tthis.key('kde').seq().obj(\n\t\t\t\t\tthis.key('id').objid(),\n\t\t\t\t\tthis.key('kdeparams').seq().obj(\n\t\t\t\t\t\tthis.key('salt').octstr(),\n\t\t\t\t\t\tthis.key('iters')['int']()\n\t\t\t\t\t)\n\t\t\t\t),\n\t\t\t\tthis.key('cipher').seq().obj(\n\t\t\t\t\tthis.key('algo').objid(),\n\t\t\t\t\tthis.key('iv').octstr()\n\t\t\t\t)\n\t\t\t)\n\t\t),\n\t\tthis.key('subjectPrivateKey').octstr()\n\t);\n});\n\nexports.EncryptedPrivateKey = EncryptedPrivateKeyInfo;\n\nvar DSAPrivateKey = asn1.define('DSAPrivateKey', function () {\n\tthis.seq().obj(\n\t\tthis.key('version')['int'](),\n\t\tthis.key('p')['int'](),\n\t\tthis.key('q')['int'](),\n\t\tthis.key('g')['int'](),\n\t\tthis.key('pub_key')['int'](),\n\t\tthis.key('priv_key')['int']()\n\t);\n});\nexports.DSAPrivateKey = DSAPrivateKey;\n\nexports.DSAparam = asn1.define('DSAparam', function () {\n\tthis['int']();\n});\n\nvar ECParameters = asn1.define('ECParameters', function () {\n\tthis.choice({\n\t\tnamedCurve: this.objid()\n\t});\n});\n\nvar ECPrivateKey = asn1.define('ECPrivateKey', function () {\n\tthis.seq().obj(\n\t\tthis.key('version')['int'](),\n\t\tthis.key('privateKey').octstr(),\n\t\tthis.key('parameters').optional().explicit(0).use(ECParameters),\n\t\tthis.key('publicKey').optional().explicit(1).bitstr()\n\t);\n});\nexports.ECPrivateKey = ECPrivateKey;\n\nexports.signature = asn1.define('signature', function () {\n\tthis.seq().obj(\n\t\tthis.key('r')['int'](),\n\t\tthis.key('s')['int']()\n\t);\n});\n","module.exports = require('events').EventEmitter;\n","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n'use strict';\n\n/*<replacement>*/\n\nvar Buffer = require('safe-buffer').Buffer;\n/*</replacement>*/\n\nvar isEncoding = Buffer.isEncoding || function (encoding) {\n encoding = '' + encoding;\n switch (encoding && encoding.toLowerCase()) {\n case 'hex':case 'utf8':case 'utf-8':case 'ascii':case 'binary':case 'base64':case 'ucs2':case 'ucs-2':case 'utf16le':case 'utf-16le':case 'raw':\n return true;\n default:\n return false;\n }\n};\n\nfunction _normalizeEncoding(enc) {\n if (!enc) return 'utf8';\n var retried;\n while (true) {\n switch (enc) {\n case 'utf8':\n case 'utf-8':\n return 'utf8';\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return 'utf16le';\n case 'latin1':\n case 'binary':\n return 'latin1';\n case 'base64':\n case 'ascii':\n case 'hex':\n return enc;\n default:\n if (retried) return; // undefined\n enc = ('' + enc).toLowerCase();\n retried = true;\n }\n }\n};\n\n// Do not cache `Buffer.isEncoding` when checking encoding names as some\n// modules monkey-patch it to support additional encodings\nfunction normalizeEncoding(enc) {\n var nenc = _normalizeEncoding(enc);\n if (typeof nenc !== 'string' && (Buffer.isEncoding === isEncoding || !isEncoding(enc))) throw new Error('Unknown encoding: ' + enc);\n return nenc || enc;\n}\n\n// StringDecoder provides an interface for efficiently splitting a series of\n// buffers into a series of JS strings without breaking apart multi-byte\n// characters.\nexports.StringDecoder = StringDecoder;\nfunction StringDecoder(encoding) {\n this.encoding = normalizeEncoding(encoding);\n var nb;\n switch (this.encoding) {\n case 'utf16le':\n this.text = utf16Text;\n this.end = utf16End;\n nb = 4;\n break;\n case 'utf8':\n this.fillLast = utf8FillLast;\n nb = 4;\n break;\n case 'base64':\n this.text = base64Text;\n this.end = base64End;\n nb = 3;\n break;\n default:\n this.write = simpleWrite;\n this.end = simpleEnd;\n return;\n }\n this.lastNeed = 0;\n this.lastTotal = 0;\n this.lastChar = Buffer.allocUnsafe(nb);\n}\n\nStringDecoder.prototype.write = function (buf) {\n if (buf.length === 0) return '';\n var r;\n var i;\n if (this.lastNeed) {\n r = this.fillLast(buf);\n if (r === undefined) return '';\n i = this.lastNeed;\n this.lastNeed = 0;\n } else {\n i = 0;\n }\n if (i < buf.length) return r ? r + this.text(buf, i) : this.text(buf, i);\n return r || '';\n};\n\nStringDecoder.prototype.end = utf8End;\n\n// Returns only complete characters in a Buffer\nStringDecoder.prototype.text = utf8Text;\n\n// Attempts to complete a partial non-UTF-8 character using bytes from a Buffer\nStringDecoder.prototype.fillLast = function (buf) {\n if (this.lastNeed <= buf.length) {\n buf.copy(this.lastChar, this.lastTotal - this.lastNeed, 0, this.lastNeed);\n return this.lastChar.toString(this.encoding, 0, this.lastTotal);\n }\n buf.copy(this.lastChar, this.lastTotal - this.lastNeed, 0, buf.length);\n this.lastNeed -= buf.length;\n};\n\n// Checks the type of a UTF-8 byte, whether it's ASCII, a leading byte, or a\n// continuation byte. If an invalid byte is detected, -2 is returned.\nfunction utf8CheckByte(byte) {\n if (byte <= 0x7F) return 0;else if (byte >> 5 === 0x06) return 2;else if (byte >> 4 === 0x0E) return 3;else if (byte >> 3 === 0x1E) return 4;\n return byte >> 6 === 0x02 ? -1 : -2;\n}\n\n// Checks at most 3 bytes at the end of a Buffer in order to detect an\n// incomplete multi-byte UTF-8 character. The total number of bytes (2, 3, or 4)\n// needed to complete the UTF-8 character (if applicable) are returned.\nfunction utf8CheckIncomplete(self, buf, i) {\n var j = buf.length - 1;\n if (j < i) return 0;\n var nb = utf8CheckByte(buf[j]);\n if (nb >= 0) {\n if (nb > 0) self.lastNeed = nb - 1;\n return nb;\n }\n if (--j < i || nb === -2) return 0;\n nb = utf8CheckByte(buf[j]);\n if (nb >= 0) {\n if (nb > 0) self.lastNeed = nb - 2;\n return nb;\n }\n if (--j < i || nb === -2) return 0;\n nb = utf8CheckByte(buf[j]);\n if (nb >= 0) {\n if (nb > 0) {\n if (nb === 2) nb = 0;else self.lastNeed = nb - 3;\n }\n return nb;\n }\n return 0;\n}\n\n// Validates as many continuation bytes for a multi-byte UTF-8 character as\n// needed or are available. If we see a non-continuation byte where we expect\n// one, we \"replace\" the validated continuation bytes we've seen so far with\n// a single UTF-8 replacement character ('\\ufffd'), to match v8's UTF-8 decoding\n// behavior. The continuation byte check is included three times in the case\n// where all of the continuation bytes for a character exist in the same buffer.\n// It is also done this way as a slight performance increase instead of using a\n// loop.\nfunction utf8CheckExtraBytes(self, buf, p) {\n if ((buf[0] & 0xC0) !== 0x80) {\n self.lastNeed = 0;\n return '\\ufffd';\n }\n if (self.lastNeed > 1 && buf.length > 1) {\n if ((buf[1] & 0xC0) !== 0x80) {\n self.lastNeed = 1;\n return '\\ufffd';\n }\n if (self.lastNeed > 2 && buf.length > 2) {\n if ((buf[2] & 0xC0) !== 0x80) {\n self.lastNeed = 2;\n return '\\ufffd';\n }\n }\n }\n}\n\n// Attempts to complete a multi-byte UTF-8 character using bytes from a Buffer.\nfunction utf8FillLast(buf) {\n var p = this.lastTotal - this.lastNeed;\n var r = utf8CheckExtraBytes(this, buf, p);\n if (r !== undefined) return r;\n if (this.lastNeed <= buf.length) {\n buf.copy(this.lastChar, p, 0, this.lastNeed);\n return this.lastChar.toString(this.encoding, 0, this.lastTotal);\n }\n buf.copy(this.lastChar, p, 0, buf.length);\n this.lastNeed -= buf.length;\n}\n\n// Returns all complete UTF-8 characters in a Buffer. If the Buffer ended on a\n// partial character, the character's bytes are buffered until the required\n// number of bytes are available.\nfunction utf8Text(buf, i) {\n var total = utf8CheckIncomplete(this, buf, i);\n if (!this.lastNeed) return buf.toString('utf8', i);\n this.lastTotal = total;\n var end = buf.length - (total - this.lastNeed);\n buf.copy(this.lastChar, 0, end);\n return buf.toString('utf8', i, end);\n}\n\n// For UTF-8, a replacement character is added when ending on a partial\n// character.\nfunction utf8End(buf) {\n var r = buf && buf.length ? this.write(buf) : '';\n if (this.lastNeed) return r + '\\ufffd';\n return r;\n}\n\n// UTF-16LE typically needs two bytes per character, but even if we have an even\n// number of bytes available, we need to check if we end on a leading/high\n// surrogate. In that case, we need to wait for the next two bytes in order to\n// decode the last character properly.\nfunction utf16Text(buf, i) {\n if ((buf.length - i) % 2 === 0) {\n var r = buf.toString('utf16le', i);\n if (r) {\n var c = r.charCodeAt(r.length - 1);\n if (c >= 0xD800 && c <= 0xDBFF) {\n this.lastNeed = 2;\n this.lastTotal = 4;\n this.lastChar[0] = buf[buf.length - 2];\n this.lastChar[1] = buf[buf.length - 1];\n return r.slice(0, -1);\n }\n }\n return r;\n }\n this.lastNeed = 1;\n this.lastTotal = 2;\n this.lastChar[0] = buf[buf.length - 1];\n return buf.toString('utf16le', i, buf.length - 1);\n}\n\n// For UTF-16LE we do not explicitly append special replacement characters if we\n// end on a partial character, we simply let v8 handle that.\nfunction utf16End(buf) {\n var r = buf && buf.length ? this.write(buf) : '';\n if (this.lastNeed) {\n var end = this.lastTotal - this.lastNeed;\n return r + this.lastChar.toString('utf16le', 0, end);\n }\n return r;\n}\n\nfunction base64Text(buf, i) {\n var n = (buf.length - i) % 3;\n if (n === 0) return buf.toString('base64', i);\n this.lastNeed = 3 - n;\n this.lastTotal = 3;\n if (n === 1) {\n this.lastChar[0] = buf[buf.length - 1];\n } else {\n this.lastChar[0] = buf[buf.length - 2];\n this.lastChar[1] = buf[buf.length - 1];\n }\n return buf.toString('base64', i, buf.length - n);\n}\n\nfunction base64End(buf) {\n var r = buf && buf.length ? this.write(buf) : '';\n if (this.lastNeed) return r + this.lastChar.toString('base64', 0, 3 - this.lastNeed);\n return r;\n}\n\n// Pass bytes on through for single-byte encodings (e.g. ascii, latin1, hex)\nfunction simpleWrite(buf) {\n return buf.toString(this.encoding);\n}\n\nfunction simpleEnd(buf) {\n return buf && buf.length ? this.write(buf) : '';\n}","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n// A bit simpler than readable streams.\n// Implement an async ._write(chunk, encoding, cb), and it'll handle all\n// the drain event emission and buffering.\n\n'use strict';\n\n/*<replacement>*/\n\nvar pna = require('process-nextick-args');\n/*</replacement>*/\n\nmodule.exports = Writable;\n\n/* <replacement> */\nfunction WriteReq(chunk, encoding, cb) {\n this.chunk = chunk;\n this.encoding = encoding;\n this.callback = cb;\n this.next = null;\n}\n\n// It seems a linked list but it is not\n// there will be only 2 of these for each stream\nfunction CorkedRequest(state) {\n var _this = this;\n\n this.next = null;\n this.entry = null;\n this.finish = function () {\n onCorkedFinish(_this, state);\n };\n}\n/* </replacement> */\n\n/*<replacement>*/\nvar asyncWrite = !process.browser && ['v0.10', 'v0.9.'].indexOf(process.version.slice(0, 5)) > -1 ? setImmediate : pna.nextTick;\n/*</replacement>*/\n\n/*<replacement>*/\nvar Duplex;\n/*</replacement>*/\n\nWritable.WritableState = WritableState;\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\n/*<replacement>*/\nvar internalUtil = {\n deprecate: require('util-deprecate')\n};\n/*</replacement>*/\n\n/*<replacement>*/\nvar Stream = require('./internal/streams/stream');\n/*</replacement>*/\n\n/*<replacement>*/\n\nvar Buffer = require('safe-buffer').Buffer;\nvar OurUint8Array = (typeof global !== 'undefined' ? global : typeof window !== 'undefined' ? window : typeof self !== 'undefined' ? self : {}).Uint8Array || function () {};\nfunction _uint8ArrayToBuffer(chunk) {\n return Buffer.from(chunk);\n}\nfunction _isUint8Array(obj) {\n return Buffer.isBuffer(obj) || obj instanceof OurUint8Array;\n}\n\n/*</replacement>*/\n\nvar destroyImpl = require('./internal/streams/destroy');\n\nutil.inherits(Writable, Stream);\n\nfunction nop() {}\n\nfunction WritableState(options, stream) {\n Duplex = Duplex || require('./_stream_duplex');\n\n options = options || {};\n\n // Duplex streams are both readable and writable, but share\n // the same options object.\n // However, some cases require setting options to different\n // values for the readable and the writable sides of the duplex stream.\n // These options can be provided separately as readableXXX and writableXXX.\n var isDuplex = stream instanceof Duplex;\n\n // object stream flag to indicate whether or not this stream\n // contains buffers or objects.\n this.objectMode = !!options.objectMode;\n\n if (isDuplex) this.objectMode = this.objectMode || !!options.writableObjectMode;\n\n // the point at which write() starts returning false\n // Note: 0 is a valid value, means that we always return false if\n // the entire buffer is not flushed immediately on write()\n var hwm = options.highWaterMark;\n var writableHwm = options.writableHighWaterMark;\n var defaultHwm = this.objectMode ? 16 : 16 * 1024;\n\n if (hwm || hwm === 0) this.highWaterMark = hwm;else if (isDuplex && (writableHwm || writableHwm === 0)) this.highWaterMark = writableHwm;else this.highWaterMark = defaultHwm;\n\n // cast to ints.\n this.highWaterMark = Math.floor(this.highWaterMark);\n\n // if _final has been called\n this.finalCalled = false;\n\n // drain event flag.\n this.needDrain = false;\n // at the start of calling end()\n this.ending = false;\n // when end() has been called, and returned\n this.ended = false;\n // when 'finish' is emitted\n this.finished = false;\n\n // has it been destroyed\n this.destroyed = false;\n\n // should we decode strings into buffers before passing to _write?\n // this is here so that some node-core streams can optimize string\n // handling at a lower level.\n var noDecode = options.decodeStrings === false;\n this.decodeStrings = !noDecode;\n\n // Crypto is kind of old and crusty. Historically, its default string\n // encoding is 'binary' so we have to make this configurable.\n // Everything else in the universe uses 'utf8', though.\n this.defaultEncoding = options.defaultEncoding || 'utf8';\n\n // not an actual buffer we keep track of, but a measurement\n // of how much we're waiting to get pushed to some underlying\n // socket or file.\n this.length = 0;\n\n // a flag to see when we're in the middle of a write.\n this.writing = false;\n\n // when true all writes will be buffered until .uncork() call\n this.corked = 0;\n\n // a flag to be able to tell if the onwrite cb is called immediately,\n // or on a later tick. We set this to true at first, because any\n // actions that shouldn't happen until \"later\" should generally also\n // not happen before the first write call.\n this.sync = true;\n\n // a flag to know if we're processing previously buffered items, which\n // may call the _write() callback in the same tick, so that we don't\n // end up in an overlapped onwrite situation.\n this.bufferProcessing = false;\n\n // the callback that's passed to _write(chunk,cb)\n this.onwrite = function (er) {\n onwrite(stream, er);\n };\n\n // the callback that the user supplies to write(chunk,encoding,cb)\n this.writecb = null;\n\n // the amount that is being written when _write is called.\n this.writelen = 0;\n\n this.bufferedRequest = null;\n this.lastBufferedRequest = null;\n\n // number of pending user-supplied write callbacks\n // this must be 0 before 'finish' can be emitted\n this.pendingcb = 0;\n\n // emit prefinish if the only thing we're waiting for is _write cbs\n // This is relevant for synchronous Transform streams\n this.prefinished = false;\n\n // True if the error was already emitted and should not be thrown again\n this.errorEmitted = false;\n\n // count buffered requests\n this.bufferedRequestCount = 0;\n\n // allocate the first CorkedRequest, there is always\n // one allocated and free to use, and we maintain at most two\n this.corkedRequestsFree = new CorkedRequest(this);\n}\n\nWritableState.prototype.getBuffer = function getBuffer() {\n var current = this.bufferedRequest;\n var out = [];\n while (current) {\n out.push(current);\n current = current.next;\n }\n return out;\n};\n\n(function () {\n try {\n Object.defineProperty(WritableState.prototype, 'buffer', {\n get: internalUtil.deprecate(function () {\n return this.getBuffer();\n }, '_writableState.buffer is deprecated. Use _writableState.getBuffer ' + 'instead.', 'DEP0003')\n });\n } catch (_) {}\n})();\n\n// Test _writableState for inheritance to account for Duplex streams,\n// whose prototype chain only points to Readable.\nvar realHasInstance;\nif (typeof Symbol === 'function' && Symbol.hasInstance && typeof Function.prototype[Symbol.hasInstance] === 'function') {\n realHasInstance = Function.prototype[Symbol.hasInstance];\n Object.defineProperty(Writable, Symbol.hasInstance, {\n value: function (object) {\n if (realHasInstance.call(this, object)) return true;\n if (this !== Writable) return false;\n\n return object && object._writableState instanceof WritableState;\n }\n });\n} else {\n realHasInstance = function (object) {\n return object instanceof this;\n };\n}\n\nfunction Writable(options) {\n Duplex = Duplex || require('./_stream_duplex');\n\n // Writable ctor is applied to Duplexes, too.\n // `realHasInstance` is necessary because using plain `instanceof`\n // would return false, as no `_writableState` property is attached.\n\n // Trying to use the custom `instanceof` for Writable here will also break the\n // Node.js LazyTransform implementation, which has a non-trivial getter for\n // `_writableState` that would lead to infinite recursion.\n if (!realHasInstance.call(Writable, this) && !(this instanceof Duplex)) {\n return new Writable(options);\n }\n\n this._writableState = new WritableState(options, this);\n\n // legacy.\n this.writable = true;\n\n if (options) {\n if (typeof options.write === 'function') this._write = options.write;\n\n if (typeof options.writev === 'function') this._writev = options.writev;\n\n if (typeof options.destroy === 'function') this._destroy = options.destroy;\n\n if (typeof options.final === 'function') this._final = options.final;\n }\n\n Stream.call(this);\n}\n\n// Otherwise people can pipe Writable streams, which is just wrong.\nWritable.prototype.pipe = function () {\n this.emit('error', new Error('Cannot pipe, not readable'));\n};\n\nfunction writeAfterEnd(stream, cb) {\n var er = new Error('write after end');\n // TODO: defer error events consistently everywhere, not just the cb\n stream.emit('error', er);\n pna.nextTick(cb, er);\n}\n\n// Checks that a user-supplied chunk is valid, especially for the particular\n// mode the stream is in. Currently this means that `null` is never accepted\n// and undefined/non-string values are only allowed in object mode.\nfunction validChunk(stream, state, chunk, cb) {\n var valid = true;\n var er = false;\n\n if (chunk === null) {\n er = new TypeError('May not write null values to stream');\n } else if (typeof chunk !== 'string' && chunk !== undefined && !state.objectMode) {\n er = new TypeError('Invalid non-string/buffer chunk');\n }\n if (er) {\n stream.emit('error', er);\n pna.nextTick(cb, er);\n valid = false;\n }\n return valid;\n}\n\nWritable.prototype.write = function (chunk, encoding, cb) {\n var state = this._writableState;\n var ret = false;\n var isBuf = !state.objectMode && _isUint8Array(chunk);\n\n if (isBuf && !Buffer.isBuffer(chunk)) {\n chunk = _uint8ArrayToBuffer(chunk);\n }\n\n if (typeof encoding === 'function') {\n cb = encoding;\n encoding = null;\n }\n\n if (isBuf) encoding = 'buffer';else if (!encoding) encoding = state.defaultEncoding;\n\n if (typeof cb !== 'function') cb = nop;\n\n if (state.ended) writeAfterEnd(this, cb);else if (isBuf || validChunk(this, state, chunk, cb)) {\n state.pendingcb++;\n ret = writeOrBuffer(this, state, isBuf, chunk, encoding, cb);\n }\n\n return ret;\n};\n\nWritable.prototype.cork = function () {\n var state = this._writableState;\n\n state.corked++;\n};\n\nWritable.prototype.uncork = function () {\n var state = this._writableState;\n\n if (state.corked) {\n state.corked--;\n\n if (!state.writing && !state.corked && !state.bufferProcessing && state.bufferedRequest) clearBuffer(this, state);\n }\n};\n\nWritable.prototype.setDefaultEncoding = function setDefaultEncoding(encoding) {\n // node::ParseEncoding() requires lower case.\n if (typeof encoding === 'string') encoding = encoding.toLowerCase();\n if (!(['hex', 'utf8', 'utf-8', 'ascii', 'binary', 'base64', 'ucs2', 'ucs-2', 'utf16le', 'utf-16le', 'raw'].indexOf((encoding + '').toLowerCase()) > -1)) throw new TypeError('Unknown encoding: ' + encoding);\n this._writableState.defaultEncoding = encoding;\n return this;\n};\n\nfunction decodeChunk(state, chunk, encoding) {\n if (!state.objectMode && state.decodeStrings !== false && typeof chunk === 'string') {\n chunk = Buffer.from(chunk, encoding);\n }\n return chunk;\n}\n\nObject.defineProperty(Writable.prototype, 'writableHighWaterMark', {\n // making it explicit this property is not enumerable\n // because otherwise some prototype manipulation in\n // userland will fail\n enumerable: false,\n get: function () {\n return this._writableState.highWaterMark;\n }\n});\n\n// if we're already writing something, then just put this\n// in the queue, and wait our turn. Otherwise, call _write\n// If we return false, then we need a drain event, so set that flag.\nfunction writeOrBuffer(stream, state, isBuf, chunk, encoding, cb) {\n if (!isBuf) {\n var newChunk = decodeChunk(state, chunk, encoding);\n if (chunk !== newChunk) {\n isBuf = true;\n encoding = 'buffer';\n chunk = newChunk;\n }\n }\n var len = state.objectMode ? 1 : chunk.length;\n\n state.length += len;\n\n var ret = state.length < state.highWaterMark;\n // we must ensure that previous needDrain will not be reset to false.\n if (!ret) state.needDrain = true;\n\n if (state.writing || state.corked) {\n var last = state.lastBufferedRequest;\n state.lastBufferedRequest = {\n chunk: chunk,\n encoding: encoding,\n isBuf: isBuf,\n callback: cb,\n next: null\n };\n if (last) {\n last.next = state.lastBufferedRequest;\n } else {\n state.bufferedRequest = state.lastBufferedRequest;\n }\n state.bufferedRequestCount += 1;\n } else {\n doWrite(stream, state, false, len, chunk, encoding, cb);\n }\n\n return ret;\n}\n\nfunction doWrite(stream, state, writev, len, chunk, encoding, cb) {\n state.writelen = len;\n state.writecb = cb;\n state.writing = true;\n state.sync = true;\n if (writev) stream._writev(chunk, state.onwrite);else stream._write(chunk, encoding, state.onwrite);\n state.sync = false;\n}\n\nfunction onwriteError(stream, state, sync, er, cb) {\n --state.pendingcb;\n\n if (sync) {\n // defer the callback if we are being called synchronously\n // to avoid piling up things on the stack\n pna.nextTick(cb, er);\n // this can emit finish, and it will always happen\n // after error\n pna.nextTick(finishMaybe, stream, state);\n stream._writableState.errorEmitted = true;\n stream.emit('error', er);\n } else {\n // the caller expect this to happen before if\n // it is async\n cb(er);\n stream._writableState.errorEmitted = true;\n stream.emit('error', er);\n // this can emit finish, but finish must\n // always follow error\n finishMaybe(stream, state);\n }\n}\n\nfunction onwriteStateUpdate(state) {\n state.writing = false;\n state.writecb = null;\n state.length -= state.writelen;\n state.writelen = 0;\n}\n\nfunction onwrite(stream, er) {\n var state = stream._writableState;\n var sync = state.sync;\n var cb = state.writecb;\n\n onwriteStateUpdate(state);\n\n if (er) onwriteError(stream, state, sync, er, cb);else {\n // Check if we're actually ready to finish, but don't emit yet\n var finished = needFinish(state);\n\n if (!finished && !state.corked && !state.bufferProcessing && state.bufferedRequest) {\n clearBuffer(stream, state);\n }\n\n if (sync) {\n /*<replacement>*/\n asyncWrite(afterWrite, stream, state, finished, cb);\n /*</replacement>*/\n } else {\n afterWrite(stream, state, finished, cb);\n }\n }\n}\n\nfunction afterWrite(stream, state, finished, cb) {\n if (!finished) onwriteDrain(stream, state);\n state.pendingcb--;\n cb();\n finishMaybe(stream, state);\n}\n\n// Must force callback to be called on nextTick, so that we don't\n// emit 'drain' before the write() consumer gets the 'false' return\n// value, and has a chance to attach a 'drain' listener.\nfunction onwriteDrain(stream, state) {\n if (state.length === 0 && state.needDrain) {\n state.needDrain = false;\n stream.emit('drain');\n }\n}\n\n// if there's something in the buffer waiting, then process it\nfunction clearBuffer(stream, state) {\n state.bufferProcessing = true;\n var entry = state.bufferedRequest;\n\n if (stream._writev && entry && entry.next) {\n // Fast case, write everything using _writev()\n var l = state.bufferedRequestCount;\n var buffer = new Array(l);\n var holder = state.corkedRequestsFree;\n holder.entry = entry;\n\n var count = 0;\n var allBuffers = true;\n while (entry) {\n buffer[count] = entry;\n if (!entry.isBuf) allBuffers = false;\n entry = entry.next;\n count += 1;\n }\n buffer.allBuffers = allBuffers;\n\n doWrite(stream, state, true, state.length, buffer, '', holder.finish);\n\n // doWrite is almost always async, defer these to save a bit of time\n // as the hot path ends with doWrite\n state.pendingcb++;\n state.lastBufferedRequest = null;\n if (holder.next) {\n state.corkedRequestsFree = holder.next;\n holder.next = null;\n } else {\n state.corkedRequestsFree = new CorkedRequest(state);\n }\n state.bufferedRequestCount = 0;\n } else {\n // Slow case, write chunks one-by-one\n while (entry) {\n var chunk = entry.chunk;\n var encoding = entry.encoding;\n var cb = entry.callback;\n var len = state.objectMode ? 1 : chunk.length;\n\n doWrite(stream, state, false, len, chunk, encoding, cb);\n entry = entry.next;\n state.bufferedRequestCount--;\n // if we didn't call the onwrite immediately, then\n // it means that we need to wait until it does.\n // also, that means that the chunk and cb are currently\n // being processed, so move the buffer counter past them.\n if (state.writing) {\n break;\n }\n }\n\n if (entry === null) state.lastBufferedRequest = null;\n }\n\n state.bufferedRequest = entry;\n state.bufferProcessing = false;\n}\n\nWritable.prototype._write = function (chunk, encoding, cb) {\n cb(new Error('_write() is not implemented'));\n};\n\nWritable.prototype._writev = null;\n\nWritable.prototype.end = function (chunk, encoding, cb) {\n var state = this._writableState;\n\n if (typeof chunk === 'function') {\n cb = chunk;\n chunk = null;\n encoding = null;\n } else if (typeof encoding === 'function') {\n cb = encoding;\n encoding = null;\n }\n\n if (chunk !== null && chunk !== undefined) this.write(chunk, encoding);\n\n // .end() fully uncorks\n if (state.corked) {\n state.corked = 1;\n this.uncork();\n }\n\n // ignore unnecessary end() calls.\n if (!state.ending) endWritable(this, state, cb);\n};\n\nfunction needFinish(state) {\n return state.ending && state.length === 0 && state.bufferedRequest === null && !state.finished && !state.writing;\n}\nfunction callFinal(stream, state) {\n stream._final(function (err) {\n state.pendingcb--;\n if (err) {\n stream.emit('error', err);\n }\n state.prefinished = true;\n stream.emit('prefinish');\n finishMaybe(stream, state);\n });\n}\nfunction prefinish(stream, state) {\n if (!state.prefinished && !state.finalCalled) {\n if (typeof stream._final === 'function') {\n state.pendingcb++;\n state.finalCalled = true;\n pna.nextTick(callFinal, stream, state);\n } else {\n state.prefinished = true;\n stream.emit('prefinish');\n }\n }\n}\n\nfunction finishMaybe(stream, state) {\n var need = needFinish(state);\n if (need) {\n prefinish(stream, state);\n if (state.pendingcb === 0) {\n state.finished = true;\n stream.emit('finish');\n }\n }\n return need;\n}\n\nfunction endWritable(stream, state, cb) {\n state.ending = true;\n finishMaybe(stream, state);\n if (cb) {\n if (state.finished) pna.nextTick(cb);else stream.once('finish', cb);\n }\n state.ended = true;\n stream.writable = false;\n}\n\nfunction onCorkedFinish(corkReq, state, err) {\n var entry = corkReq.entry;\n corkReq.entry = null;\n while (entry) {\n var cb = entry.callback;\n state.pendingcb--;\n cb(err);\n entry = entry.next;\n }\n\n // reuse the free corkReq.\n state.corkedRequestsFree.next = corkReq;\n}\n\nObject.defineProperty(Writable.prototype, 'destroyed', {\n get: function () {\n if (this._writableState === undefined) {\n return false;\n }\n return this._writableState.destroyed;\n },\n set: function (value) {\n // we ignore the value if the stream\n // has not been initialized yet\n if (!this._writableState) {\n return;\n }\n\n // backward compatibility, the user is explicitly\n // managing destroyed\n this._writableState.destroyed = value;\n }\n});\n\nWritable.prototype.destroy = destroyImpl.destroy;\nWritable.prototype._undestroy = destroyImpl.undestroy;\nWritable.prototype._destroy = function (err, cb) {\n this.end();\n cb(err);\n};","'use strict';\n\nvar BN = require('bn.js');\nvar inherits = require('inherits');\nvar Base = require('./base');\n\nvar utils = require('../utils');\n\nfunction MontCurve(conf) {\n Base.call(this, 'mont', conf);\n\n this.a = new BN(conf.a, 16).toRed(this.red);\n this.b = new BN(conf.b, 16).toRed(this.red);\n this.i4 = new BN(4).toRed(this.red).redInvm();\n this.two = new BN(2).toRed(this.red);\n this.a24 = this.i4.redMul(this.a.redAdd(this.two));\n}\ninherits(MontCurve, Base);\nmodule.exports = MontCurve;\n\nMontCurve.prototype.validate = function validate(point) {\n var x = point.normalize().x;\n var x2 = x.redSqr();\n var rhs = x2.redMul(x).redAdd(x2.redMul(this.a)).redAdd(x);\n var y = rhs.redSqrt();\n\n return y.redSqr().cmp(rhs) === 0;\n};\n\nfunction Point(curve, x, z) {\n Base.BasePoint.call(this, curve, 'projective');\n if (x === null && z === null) {\n this.x = this.curve.one;\n this.z = this.curve.zero;\n } else {\n this.x = new BN(x, 16);\n this.z = new BN(z, 16);\n if (!this.x.red)\n this.x = this.x.toRed(this.curve.red);\n if (!this.z.red)\n this.z = this.z.toRed(this.curve.red);\n }\n}\ninherits(Point, Base.BasePoint);\n\nMontCurve.prototype.decodePoint = function decodePoint(bytes, enc) {\n return this.point(utils.toArray(bytes, enc), 1);\n};\n\nMontCurve.prototype.point = function point(x, z) {\n return new Point(this, x, z);\n};\n\nMontCurve.prototype.pointFromJSON = function pointFromJSON(obj) {\n return Point.fromJSON(this, obj);\n};\n\nPoint.prototype.precompute = function precompute() {\n // No-op\n};\n\nPoint.prototype._encode = function _encode() {\n return this.getX().toArray('be', this.curve.p.byteLength());\n};\n\nPoint.fromJSON = function fromJSON(curve, obj) {\n return new Point(curve, obj[0], obj[1] || curve.one);\n};\n\nPoint.prototype.inspect = function inspect() {\n if (this.isInfinity())\n return '<EC Point Infinity>';\n return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +\n ' z: ' + this.z.fromRed().toString(16, 2) + '>';\n};\n\nPoint.prototype.isInfinity = function isInfinity() {\n // XXX This code assumes that zero is always zero in red\n return this.z.cmpn(0) === 0;\n};\n\nPoint.prototype.dbl = function dbl() {\n // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#doubling-dbl-1987-m-3\n // 2M + 2S + 4A\n\n // A = X1 + Z1\n var a = this.x.redAdd(this.z);\n // AA = A^2\n var aa = a.redSqr();\n // B = X1 - Z1\n var b = this.x.redSub(this.z);\n // BB = B^2\n var bb = b.redSqr();\n // C = AA - BB\n var c = aa.redSub(bb);\n // X3 = AA * BB\n var nx = aa.redMul(bb);\n // Z3 = C * (BB + A24 * C)\n var nz = c.redMul(bb.redAdd(this.curve.a24.redMul(c)));\n return this.curve.point(nx, nz);\n};\n\nPoint.prototype.add = function add() {\n throw new Error('Not supported on Montgomery curve');\n};\n\nPoint.prototype.diffAdd = function diffAdd(p, diff) {\n // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#diffadd-dadd-1987-m-3\n // 4M + 2S + 6A\n\n // A = X2 + Z2\n var a = this.x.redAdd(this.z);\n // B = X2 - Z2\n var b = this.x.redSub(this.z);\n // C = X3 + Z3\n var c = p.x.redAdd(p.z);\n // D = X3 - Z3\n var d = p.x.redSub(p.z);\n // DA = D * A\n var da = d.redMul(a);\n // CB = C * B\n var cb = c.redMul(b);\n // X5 = Z1 * (DA + CB)^2\n var nx = diff.z.redMul(da.redAdd(cb).redSqr());\n // Z5 = X1 * (DA - CB)^2\n var nz = diff.x.redMul(da.redISub(cb).redSqr());\n return this.curve.point(nx, nz);\n};\n\nPoint.prototype.mul = function mul(k) {\n var t = k.clone();\n var a = this; // (N / 2) * Q + Q\n var b = this.curve.point(null, null); // (N / 2) * Q\n var c = this; // Q\n\n for (var bits = []; t.cmpn(0) !== 0; t.iushrn(1))\n bits.push(t.andln(1));\n\n for (var i = bits.length - 1; i >= 0; i--) {\n if (bits[i] === 0) {\n // N * Q + Q = ((N / 2) * Q + Q)) + (N / 2) * Q\n a = a.diffAdd(b, c);\n // N * Q = 2 * ((N / 2) * Q + Q))\n b = b.dbl();\n } else {\n // N * Q = ((N / 2) * Q + Q) + ((N / 2) * Q)\n b = a.diffAdd(b, c);\n // N * Q + Q = 2 * ((N / 2) * Q + Q)\n a = a.dbl();\n }\n }\n return b;\n};\n\nPoint.prototype.mulAdd = function mulAdd() {\n throw new Error('Not supported on Montgomery curve');\n};\n\nPoint.prototype.jumlAdd = function jumlAdd() {\n throw new Error('Not supported on Montgomery curve');\n};\n\nPoint.prototype.eq = function eq(other) {\n return this.getX().cmp(other.getX()) === 0;\n};\n\nPoint.prototype.normalize = function normalize() {\n this.x = this.x.redMul(this.z.redInvm());\n this.z = this.curve.one;\n return this;\n};\n\nPoint.prototype.getX = function getX() {\n // Normalize coordinates\n this.normalize();\n\n return this.x.fromRed();\n};\n","'use strict';\n\nvar BN = require('bn.js');\n\nvar utils = require('../utils');\nvar assert = utils.assert;\n\nfunction Signature(options, enc) {\n if (options instanceof Signature)\n return options;\n\n if (this._importDER(options, enc))\n return;\n\n assert(options.r && options.s, 'Signature without r or s');\n this.r = new BN(options.r, 16);\n this.s = new BN(options.s, 16);\n if (options.recoveryParam === undefined)\n this.recoveryParam = null;\n else\n this.recoveryParam = options.recoveryParam;\n}\nmodule.exports = Signature;\n\nfunction Position() {\n this.place = 0;\n}\n\nfunction getLength(buf, p) {\n var initial = buf[p.place++];\n if (!(initial & 0x80)) {\n return initial;\n }\n var octetLen = initial & 0xf;\n\n // Indefinite length or overflow\n if (octetLen === 0 || octetLen > 4) {\n return false;\n }\n\n if(buf[p.place] === 0x00) {\n return false;\n }\n\n var val = 0;\n for (var i = 0, off = p.place; i < octetLen; i++, off++) {\n val <<= 8;\n val |= buf[off];\n val >>>= 0;\n }\n\n // Leading zeroes\n if (val <= 0x7f) {\n return false;\n }\n\n p.place = off;\n return val;\n}\n\nfunction rmPadding(buf) {\n var i = 0;\n var len = buf.length - 1;\n while (!buf[i] && !(buf[i + 1] & 0x80) && i < len) {\n i++;\n }\n if (i === 0) {\n return buf;\n }\n return buf.slice(i);\n}\n\nSignature.prototype._importDER = function _importDER(data, enc) {\n data = utils.toArray(data, enc);\n var p = new Position();\n if (data[p.place++] !== 0x30) {\n return false;\n }\n var len = getLength(data, p);\n if (len === false) {\n return false;\n }\n if ((len + p.place) !== data.length) {\n return false;\n }\n if (data[p.place++] !== 0x02) {\n return false;\n }\n var rlen = getLength(data, p);\n if (rlen === false) {\n return false;\n }\n if ((data[p.place] & 128) !== 0) {\n return false;\n }\n var r = data.slice(p.place, rlen + p.place);\n p.place += rlen;\n if (data[p.place++] !== 0x02) {\n return false;\n }\n var slen = getLength(data, p);\n if (slen === false) {\n return false;\n }\n if (data.length !== slen + p.place) {\n return false;\n }\n if ((data[p.place] & 128) !== 0) {\n return false;\n }\n var s = data.slice(p.place, slen + p.place);\n if (r[0] === 0) {\n if (r[1] & 0x80) {\n r = r.slice(1);\n } else {\n // Leading zeroes\n return false;\n }\n }\n if (s[0] === 0) {\n if (s[1] & 0x80) {\n s = s.slice(1);\n } else {\n // Leading zeroes\n return false;\n }\n }\n\n this.r = new BN(r);\n this.s = new BN(s);\n this.recoveryParam = null;\n\n return true;\n};\n\nfunction constructLength(arr, len) {\n if (len < 0x80) {\n arr.push(len);\n return;\n }\n var octets = 1 + (Math.log(len) / Math.LN2 >>> 3);\n arr.push(octets | 0x80);\n while (--octets) {\n arr.push((len >>> (octets << 3)) & 0xff);\n }\n arr.push(len);\n}\n\nSignature.prototype.toDER = function toDER(enc) {\n var r = this.r.toArray();\n var s = this.s.toArray();\n\n // Pad values\n if (r[0] & 0x80)\n r = [ 0 ].concat(r);\n // Pad values\n if (s[0] & 0x80)\n s = [ 0 ].concat(s);\n\n r = rmPadding(r);\n s = rmPadding(s);\n\n while (!s[0] && !(s[1] & 0x80)) {\n s = s.slice(1);\n }\n var arr = [ 0x02 ];\n constructLength(arr, r.length);\n arr = arr.concat(r);\n arr.push(0x02);\n constructLength(arr, s.length);\n var backHalf = arr.concat(s);\n var res = [ 0x30 ];\n constructLength(res, backHalf.length);\n res = res.concat(backHalf);\n return utils.encode(res, enc);\n};\n","(function (module, exports) {\n 'use strict';\n\n // Utils\n function assert (val, msg) {\n if (!val) throw new Error(msg || 'Assertion failed');\n }\n\n // Could use `inherits` module, but don't want to move from single file\n // architecture yet.\n function inherits (ctor, superCtor) {\n ctor.super_ = superCtor;\n var TempCtor = function () {};\n TempCtor.prototype = superCtor.prototype;\n ctor.prototype = new TempCtor();\n ctor.prototype.constructor = ctor;\n }\n\n // BN\n\n function BN (number, base, endian) {\n if (BN.isBN(number)) {\n return number;\n }\n\n this.negative = 0;\n this.words = null;\n this.length = 0;\n\n // Reduction context\n this.red = null;\n\n if (number !== null) {\n if (base === 'le' || base === 'be') {\n endian = base;\n base = 10;\n }\n\n this._init(number || 0, base || 10, endian || 'be');\n }\n }\n if (typeof module === 'object') {\n module.exports = BN;\n } else {\n exports.BN = BN;\n }\n\n BN.BN = BN;\n BN.wordSize = 26;\n\n var Buffer;\n try {\n if (typeof window !== 'undefined' && typeof window.Buffer !== 'undefined') {\n Buffer = window.Buffer;\n } else {\n Buffer = require('buffer').Buffer;\n }\n } catch (e) {\n }\n\n BN.isBN = function isBN (num) {\n if (num instanceof BN) {\n return true;\n }\n\n return num !== null && typeof num === 'object' &&\n num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);\n };\n\n BN.max = function max (left, right) {\n if (left.cmp(right) > 0) return left;\n return right;\n };\n\n BN.min = function min (left, right) {\n if (left.cmp(right) < 0) return left;\n return right;\n };\n\n BN.prototype._init = function init (number, base, endian) {\n if (typeof number === 'number') {\n return this._initNumber(number, base, endian);\n }\n\n if (typeof number === 'object') {\n return this._initArray(number, base, endian);\n }\n\n if (base === 'hex') {\n base = 16;\n }\n assert(base === (base | 0) && base >= 2 && base <= 36);\n\n number = number.toString().replace(/\\s+/g, '');\n var start = 0;\n if (number[0] === '-') {\n start++;\n this.negative = 1;\n }\n\n if (start < number.length) {\n if (base === 16) {\n this._parseHex(number, start, endian);\n } else {\n this._parseBase(number, base, start);\n if (endian === 'le') {\n this._initArray(this.toArray(), base, endian);\n }\n }\n }\n };\n\n BN.prototype._initNumber = function _initNumber (number, base, endian) {\n if (number < 0) {\n this.negative = 1;\n number = -number;\n }\n if (number < 0x4000000) {\n this.words = [ number & 0x3ffffff ];\n this.length = 1;\n } else if (number < 0x10000000000000) {\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff\n ];\n this.length = 2;\n } else {\n assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff,\n 1\n ];\n this.length = 3;\n }\n\n if (endian !== 'le') return;\n\n // Reverse the bytes\n this._initArray(this.toArray(), base, endian);\n };\n\n BN.prototype._initArray = function _initArray (number, base, endian) {\n // Perhaps a Uint8Array\n assert(typeof number.length === 'number');\n if (number.length <= 0) {\n this.words = [ 0 ];\n this.length = 1;\n return this;\n }\n\n this.length = Math.ceil(number.length / 3);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n var j, w;\n var off = 0;\n if (endian === 'be') {\n for (i = number.length - 1, j = 0; i >= 0; i -= 3) {\n w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n } else if (endian === 'le') {\n for (i = 0, j = 0; i < number.length; i += 3) {\n w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n }\n return this.strip();\n };\n\n function parseHex4Bits (string, index) {\n var c = string.charCodeAt(index);\n // 'A' - 'F'\n if (c >= 65 && c <= 70) {\n return c - 55;\n // 'a' - 'f'\n } else if (c >= 97 && c <= 102) {\n return c - 87;\n // '0' - '9'\n } else {\n return (c - 48) & 0xf;\n }\n }\n\n function parseHexByte (string, lowerBound, index) {\n var r = parseHex4Bits(string, index);\n if (index - 1 >= lowerBound) {\n r |= parseHex4Bits(string, index - 1) << 4;\n }\n return r;\n }\n\n BN.prototype._parseHex = function _parseHex (number, start, endian) {\n // Create possibly bigger array to ensure that it fits the number\n this.length = Math.ceil((number.length - start) / 6);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n // 24-bits chunks\n var off = 0;\n var j = 0;\n\n var w;\n if (endian === 'be') {\n for (i = number.length - 1; i >= start; i -= 2) {\n w = parseHexByte(number, start, i) << off;\n this.words[j] |= w & 0x3ffffff;\n if (off >= 18) {\n off -= 18;\n j += 1;\n this.words[j] |= w >>> 26;\n } else {\n off += 8;\n }\n }\n } else {\n var parseLength = number.length - start;\n for (i = parseLength % 2 === 0 ? start + 1 : start; i < number.length; i += 2) {\n w = parseHexByte(number, start, i) << off;\n this.words[j] |= w & 0x3ffffff;\n if (off >= 18) {\n off -= 18;\n j += 1;\n this.words[j] |= w >>> 26;\n } else {\n off += 8;\n }\n }\n }\n\n this.strip();\n };\n\n function parseBase (str, start, end, mul) {\n var r = 0;\n var len = Math.min(str.length, end);\n for (var i = start; i < len; i++) {\n var c = str.charCodeAt(i) - 48;\n\n r *= mul;\n\n // 'a'\n if (c >= 49) {\n r += c - 49 + 0xa;\n\n // 'A'\n } else if (c >= 17) {\n r += c - 17 + 0xa;\n\n // '0' - '9'\n } else {\n r += c;\n }\n }\n return r;\n }\n\n BN.prototype._parseBase = function _parseBase (number, base, start) {\n // Initialize as zero\n this.words = [ 0 ];\n this.length = 1;\n\n // Find length of limb in base\n for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {\n limbLen++;\n }\n limbLen--;\n limbPow = (limbPow / base) | 0;\n\n var total = number.length - start;\n var mod = total % limbLen;\n var end = Math.min(total, total - mod) + start;\n\n var word = 0;\n for (var i = start; i < end; i += limbLen) {\n word = parseBase(number, i, i + limbLen, base);\n\n this.imuln(limbPow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n\n if (mod !== 0) {\n var pow = 1;\n word = parseBase(number, i, number.length, base);\n\n for (i = 0; i < mod; i++) {\n pow *= base;\n }\n\n this.imuln(pow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n\n this.strip();\n };\n\n BN.prototype.copy = function copy (dest) {\n dest.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n dest.words[i] = this.words[i];\n }\n dest.length = this.length;\n dest.negative = this.negative;\n dest.red = this.red;\n };\n\n BN.prototype.clone = function clone () {\n var r = new BN(null);\n this.copy(r);\n return r;\n };\n\n BN.prototype._expand = function _expand (size) {\n while (this.length < size) {\n this.words[this.length++] = 0;\n }\n return this;\n };\n\n // Remove leading `0` from `this`\n BN.prototype.strip = function strip () {\n while (this.length > 1 && this.words[this.length - 1] === 0) {\n this.length--;\n }\n return this._normSign();\n };\n\n BN.prototype._normSign = function _normSign () {\n // -0 = 0\n if (this.length === 1 && this.words[0] === 0) {\n this.negative = 0;\n }\n return this;\n };\n\n BN.prototype.inspect = function inspect () {\n return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';\n };\n\n /*\n\n var zeros = [];\n var groupSizes = [];\n var groupBases = [];\n\n var s = '';\n var i = -1;\n while (++i < BN.wordSize) {\n zeros[i] = s;\n s += '0';\n }\n groupSizes[0] = 0;\n groupSizes[1] = 0;\n groupBases[0] = 0;\n groupBases[1] = 0;\n var base = 2 - 1;\n while (++base < 36 + 1) {\n var groupSize = 0;\n var groupBase = 1;\n while (groupBase < (1 << BN.wordSize) / base) {\n groupBase *= base;\n groupSize += 1;\n }\n groupSizes[base] = groupSize;\n groupBases[base] = groupBase;\n }\n\n */\n\n var zeros = [\n '',\n '0',\n '00',\n '000',\n '0000',\n '00000',\n '000000',\n '0000000',\n '00000000',\n '000000000',\n '0000000000',\n '00000000000',\n '000000000000',\n '0000000000000',\n '00000000000000',\n '000000000000000',\n '0000000000000000',\n '00000000000000000',\n '000000000000000000',\n '0000000000000000000',\n '00000000000000000000',\n '000000000000000000000',\n '0000000000000000000000',\n '00000000000000000000000',\n '000000000000000000000000',\n '0000000000000000000000000'\n ];\n\n var groupSizes = [\n 0, 0,\n 25, 16, 12, 11, 10, 9, 8,\n 8, 7, 7, 7, 7, 6, 6,\n 6, 6, 6, 6, 6, 5, 5,\n 5, 5, 5, 5, 5, 5, 5,\n 5, 5, 5, 5, 5, 5, 5\n ];\n\n var groupBases = [\n 0, 0,\n 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n ];\n\n BN.prototype.toString = function toString (base, padding) {\n base = base || 10;\n padding = padding | 0 || 1;\n\n var out;\n if (base === 16 || base === 'hex') {\n out = '';\n var off = 0;\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = this.words[i];\n var word = (((w << off) | carry) & 0xffffff).toString(16);\n carry = (w >>> (24 - off)) & 0xffffff;\n if (carry !== 0 || i !== this.length - 1) {\n out = zeros[6 - word.length] + word + out;\n } else {\n out = word + out;\n }\n off += 2;\n if (off >= 26) {\n off -= 26;\n i--;\n }\n }\n if (carry !== 0) {\n out = carry.toString(16) + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n if (base === (base | 0) && base >= 2 && base <= 36) {\n // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n var groupSize = groupSizes[base];\n // var groupBase = Math.pow(base, groupSize);\n var groupBase = groupBases[base];\n out = '';\n var c = this.clone();\n c.negative = 0;\n while (!c.isZero()) {\n var r = c.modn(groupBase).toString(base);\n c = c.idivn(groupBase);\n\n if (!c.isZero()) {\n out = zeros[groupSize - r.length] + r + out;\n } else {\n out = r + out;\n }\n }\n if (this.isZero()) {\n out = '0' + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n assert(false, 'Base should be between 2 and 36');\n };\n\n BN.prototype.toNumber = function toNumber () {\n var ret = this.words[0];\n if (this.length === 2) {\n ret += this.words[1] * 0x4000000;\n } else if (this.length === 3 && this.words[2] === 0x01) {\n // NOTE: at this stage it is known that the top bit is set\n ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n } else if (this.length > 2) {\n assert(false, 'Number can only safely store up to 53 bits');\n }\n return (this.negative !== 0) ? -ret : ret;\n };\n\n BN.prototype.toJSON = function toJSON () {\n return this.toString(16);\n };\n\n BN.prototype.toBuffer = function toBuffer (endian, length) {\n assert(typeof Buffer !== 'undefined');\n return this.toArrayLike(Buffer, endian, length);\n };\n\n BN.prototype.toArray = function toArray (endian, length) {\n return this.toArrayLike(Array, endian, length);\n };\n\n BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n var byteLength = this.byteLength();\n var reqLength = length || Math.max(1, byteLength);\n assert(byteLength <= reqLength, 'byte array longer than desired length');\n assert(reqLength > 0, 'Requested array length <= 0');\n\n this.strip();\n var littleEndian = endian === 'le';\n var res = new ArrayType(reqLength);\n\n var b, i;\n var q = this.clone();\n if (!littleEndian) {\n // Assume big-endian\n for (i = 0; i < reqLength - byteLength; i++) {\n res[i] = 0;\n }\n\n for (i = 0; !q.isZero(); i++) {\n b = q.andln(0xff);\n q.iushrn(8);\n\n res[reqLength - i - 1] = b;\n }\n } else {\n for (i = 0; !q.isZero(); i++) {\n b = q.andln(0xff);\n q.iushrn(8);\n\n res[i] = b;\n }\n\n for (; i < reqLength; i++) {\n res[i] = 0;\n }\n }\n\n return res;\n };\n\n if (Math.clz32) {\n BN.prototype._countBits = function _countBits (w) {\n return 32 - Math.clz32(w);\n };\n } else {\n BN.prototype._countBits = function _countBits (w) {\n var t = w;\n var r = 0;\n if (t >= 0x1000) {\n r += 13;\n t >>>= 13;\n }\n if (t >= 0x40) {\n r += 7;\n t >>>= 7;\n }\n if (t >= 0x8) {\n r += 4;\n t >>>= 4;\n }\n if (t >= 0x02) {\n r += 2;\n t >>>= 2;\n }\n return r + t;\n };\n }\n\n BN.prototype._zeroBits = function _zeroBits (w) {\n // Short-cut\n if (w === 0) return 26;\n\n var t = w;\n var r = 0;\n if ((t & 0x1fff) === 0) {\n r += 13;\n t >>>= 13;\n }\n if ((t & 0x7f) === 0) {\n r += 7;\n t >>>= 7;\n }\n if ((t & 0xf) === 0) {\n r += 4;\n t >>>= 4;\n }\n if ((t & 0x3) === 0) {\n r += 2;\n t >>>= 2;\n }\n if ((t & 0x1) === 0) {\n r++;\n }\n return r;\n };\n\n // Return number of used bits in a BN\n BN.prototype.bitLength = function bitLength () {\n var w = this.words[this.length - 1];\n var hi = this._countBits(w);\n return (this.length - 1) * 26 + hi;\n };\n\n function toBitArray (num) {\n var w = new Array(num.bitLength());\n\n for (var bit = 0; bit < w.length; bit++) {\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n w[bit] = (num.words[off] & (1 << wbit)) >>> wbit;\n }\n\n return w;\n }\n\n // Number of trailing zero bits\n BN.prototype.zeroBits = function zeroBits () {\n if (this.isZero()) return 0;\n\n var r = 0;\n for (var i = 0; i < this.length; i++) {\n var b = this._zeroBits(this.words[i]);\n r += b;\n if (b !== 26) break;\n }\n return r;\n };\n\n BN.prototype.byteLength = function byteLength () {\n return Math.ceil(this.bitLength() / 8);\n };\n\n BN.prototype.toTwos = function toTwos (width) {\n if (this.negative !== 0) {\n return this.abs().inotn(width).iaddn(1);\n }\n return this.clone();\n };\n\n BN.prototype.fromTwos = function fromTwos (width) {\n if (this.testn(width - 1)) {\n return this.notn(width).iaddn(1).ineg();\n }\n return this.clone();\n };\n\n BN.prototype.isNeg = function isNeg () {\n return this.negative !== 0;\n };\n\n // Return negative clone of `this`\n BN.prototype.neg = function neg () {\n return this.clone().ineg();\n };\n\n BN.prototype.ineg = function ineg () {\n if (!this.isZero()) {\n this.negative ^= 1;\n }\n\n return this;\n };\n\n // Or `num` with `this` in-place\n BN.prototype.iuor = function iuor (num) {\n while (this.length < num.length) {\n this.words[this.length++] = 0;\n }\n\n for (var i = 0; i < num.length; i++) {\n this.words[i] = this.words[i] | num.words[i];\n }\n\n return this.strip();\n };\n\n BN.prototype.ior = function ior (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuor(num);\n };\n\n // Or `num` with `this`\n BN.prototype.or = function or (num) {\n if (this.length > num.length) return this.clone().ior(num);\n return num.clone().ior(this);\n };\n\n BN.prototype.uor = function uor (num) {\n if (this.length > num.length) return this.clone().iuor(num);\n return num.clone().iuor(this);\n };\n\n // And `num` with `this` in-place\n BN.prototype.iuand = function iuand (num) {\n // b = min-length(num, this)\n var b;\n if (this.length > num.length) {\n b = num;\n } else {\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = this.words[i] & num.words[i];\n }\n\n this.length = b.length;\n\n return this.strip();\n };\n\n BN.prototype.iand = function iand (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuand(num);\n };\n\n // And `num` with `this`\n BN.prototype.and = function and (num) {\n if (this.length > num.length) return this.clone().iand(num);\n return num.clone().iand(this);\n };\n\n BN.prototype.uand = function uand (num) {\n if (this.length > num.length) return this.clone().iuand(num);\n return num.clone().iuand(this);\n };\n\n // Xor `num` with `this` in-place\n BN.prototype.iuxor = function iuxor (num) {\n // a.length > b.length\n var a;\n var b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = a.words[i] ^ b.words[i];\n }\n\n if (this !== a) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = a.length;\n\n return this.strip();\n };\n\n BN.prototype.ixor = function ixor (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuxor(num);\n };\n\n // Xor `num` with `this`\n BN.prototype.xor = function xor (num) {\n if (this.length > num.length) return this.clone().ixor(num);\n return num.clone().ixor(this);\n };\n\n BN.prototype.uxor = function uxor (num) {\n if (this.length > num.length) return this.clone().iuxor(num);\n return num.clone().iuxor(this);\n };\n\n // Not ``this`` with ``width`` bitwidth\n BN.prototype.inotn = function inotn (width) {\n assert(typeof width === 'number' && width >= 0);\n\n var bytesNeeded = Math.ceil(width / 26) | 0;\n var bitsLeft = width % 26;\n\n // Extend the buffer with leading zeroes\n this._expand(bytesNeeded);\n\n if (bitsLeft > 0) {\n bytesNeeded--;\n }\n\n // Handle complete words\n for (var i = 0; i < bytesNeeded; i++) {\n this.words[i] = ~this.words[i] & 0x3ffffff;\n }\n\n // Handle the residue\n if (bitsLeft > 0) {\n this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n }\n\n // And remove leading zeroes\n return this.strip();\n };\n\n BN.prototype.notn = function notn (width) {\n return this.clone().inotn(width);\n };\n\n // Set `bit` of `this`\n BN.prototype.setn = function setn (bit, val) {\n assert(typeof bit === 'number' && bit >= 0);\n\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n this._expand(off + 1);\n\n if (val) {\n this.words[off] = this.words[off] | (1 << wbit);\n } else {\n this.words[off] = this.words[off] & ~(1 << wbit);\n }\n\n return this.strip();\n };\n\n // Add `num` to `this` in-place\n BN.prototype.iadd = function iadd (num) {\n var r;\n\n // negative + positive\n if (this.negative !== 0 && num.negative === 0) {\n this.negative = 0;\n r = this.isub(num);\n this.negative ^= 1;\n return this._normSign();\n\n // positive + negative\n } else if (this.negative === 0 && num.negative !== 0) {\n num.negative = 0;\n r = this.isub(num);\n num.negative = 1;\n return r._normSign();\n }\n\n // a.length > b.length\n var a, b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n\n this.length = a.length;\n if (carry !== 0) {\n this.words[this.length] = carry;\n this.length++;\n // Copy the rest of the words\n } else if (a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n return this;\n };\n\n // Add `num` to `this`\n BN.prototype.add = function add (num) {\n var res;\n if (num.negative !== 0 && this.negative === 0) {\n num.negative = 0;\n res = this.sub(num);\n num.negative ^= 1;\n return res;\n } else if (num.negative === 0 && this.negative !== 0) {\n this.negative = 0;\n res = num.sub(this);\n this.negative = 1;\n return res;\n }\n\n if (this.length > num.length) return this.clone().iadd(num);\n\n return num.clone().iadd(this);\n };\n\n // Subtract `num` from `this` in-place\n BN.prototype.isub = function isub (num) {\n // this - (-num) = this + num\n if (num.negative !== 0) {\n num.negative = 0;\n var r = this.iadd(num);\n num.negative = 1;\n return r._normSign();\n\n // -this - num = -(this + num)\n } else if (this.negative !== 0) {\n this.negative = 0;\n this.iadd(num);\n this.negative = 1;\n return this._normSign();\n }\n\n // At this point both numbers are positive\n var cmp = this.cmp(num);\n\n // Optimization - zeroify\n if (cmp === 0) {\n this.negative = 0;\n this.length = 1;\n this.words[0] = 0;\n return this;\n }\n\n // a > b\n var a, b;\n if (cmp > 0) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n\n // Copy rest of the words\n if (carry === 0 && i < a.length && a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = Math.max(this.length, i);\n\n if (a !== this) {\n this.negative = 1;\n }\n\n return this.strip();\n };\n\n // Subtract `num` from `this`\n BN.prototype.sub = function sub (num) {\n return this.clone().isub(num);\n };\n\n function smallMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n var len = (self.length + num.length) | 0;\n out.length = len;\n len = (len - 1) | 0;\n\n // Peel one iteration (compiler can't do it, because of code complexity)\n var a = self.words[0] | 0;\n var b = num.words[0] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n var carry = (r / 0x4000000) | 0;\n out.words[0] = lo;\n\n for (var k = 1; k < len; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = carry >>> 26;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = (k - j) | 0;\n a = self.words[i] | 0;\n b = num.words[j] | 0;\n r = a * b + rword;\n ncarry += (r / 0x4000000) | 0;\n rword = r & 0x3ffffff;\n }\n out.words[k] = rword | 0;\n carry = ncarry | 0;\n }\n if (carry !== 0) {\n out.words[k] = carry | 0;\n } else {\n out.length--;\n }\n\n return out.strip();\n }\n\n // TODO(indutny): it may be reasonable to omit it for users who don't need\n // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n // multiplication (like elliptic secp256k1).\n var comb10MulTo = function comb10MulTo (self, num, out) {\n var a = self.words;\n var b = num.words;\n var o = out.words;\n var c = 0;\n var lo;\n var mid;\n var hi;\n var a0 = a[0] | 0;\n var al0 = a0 & 0x1fff;\n var ah0 = a0 >>> 13;\n var a1 = a[1] | 0;\n var al1 = a1 & 0x1fff;\n var ah1 = a1 >>> 13;\n var a2 = a[2] | 0;\n var al2 = a2 & 0x1fff;\n var ah2 = a2 >>> 13;\n var a3 = a[3] | 0;\n var al3 = a3 & 0x1fff;\n var ah3 = a3 >>> 13;\n var a4 = a[4] | 0;\n var al4 = a4 & 0x1fff;\n var ah4 = a4 >>> 13;\n var a5 = a[5] | 0;\n var al5 = a5 & 0x1fff;\n var ah5 = a5 >>> 13;\n var a6 = a[6] | 0;\n var al6 = a6 & 0x1fff;\n var ah6 = a6 >>> 13;\n var a7 = a[7] | 0;\n var al7 = a7 & 0x1fff;\n var ah7 = a7 >>> 13;\n var a8 = a[8] | 0;\n var al8 = a8 & 0x1fff;\n var ah8 = a8 >>> 13;\n var a9 = a[9] | 0;\n var al9 = a9 & 0x1fff;\n var ah9 = a9 >>> 13;\n var b0 = b[0] | 0;\n var bl0 = b0 & 0x1fff;\n var bh0 = b0 >>> 13;\n var b1 = b[1] | 0;\n var bl1 = b1 & 0x1fff;\n var bh1 = b1 >>> 13;\n var b2 = b[2] | 0;\n var bl2 = b2 & 0x1fff;\n var bh2 = b2 >>> 13;\n var b3 = b[3] | 0;\n var bl3 = b3 & 0x1fff;\n var bh3 = b3 >>> 13;\n var b4 = b[4] | 0;\n var bl4 = b4 & 0x1fff;\n var bh4 = b4 >>> 13;\n var b5 = b[5] | 0;\n var bl5 = b5 & 0x1fff;\n var bh5 = b5 >>> 13;\n var b6 = b[6] | 0;\n var bl6 = b6 & 0x1fff;\n var bh6 = b6 >>> 13;\n var b7 = b[7] | 0;\n var bl7 = b7 & 0x1fff;\n var bh7 = b7 >>> 13;\n var b8 = b[8] | 0;\n var bl8 = b8 & 0x1fff;\n var bh8 = b8 >>> 13;\n var b9 = b[9] | 0;\n var bl9 = b9 & 0x1fff;\n var bh9 = b9 >>> 13;\n\n out.negative = self.negative ^ num.negative;\n out.length = 19;\n /* k = 0 */\n lo = Math.imul(al0, bl0);\n mid = Math.imul(al0, bh0);\n mid = (mid + Math.imul(ah0, bl0)) | 0;\n hi = Math.imul(ah0, bh0);\n var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n w0 &= 0x3ffffff;\n /* k = 1 */\n lo = Math.imul(al1, bl0);\n mid = Math.imul(al1, bh0);\n mid = (mid + Math.imul(ah1, bl0)) | 0;\n hi = Math.imul(ah1, bh0);\n lo = (lo + Math.imul(al0, bl1)) | 0;\n mid = (mid + Math.imul(al0, bh1)) | 0;\n mid = (mid + Math.imul(ah0, bl1)) | 0;\n hi = (hi + Math.imul(ah0, bh1)) | 0;\n var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n w1 &= 0x3ffffff;\n /* k = 2 */\n lo = Math.imul(al2, bl0);\n mid = Math.imul(al2, bh0);\n mid = (mid + Math.imul(ah2, bl0)) | 0;\n hi = Math.imul(ah2, bh0);\n lo = (lo + Math.imul(al1, bl1)) | 0;\n mid = (mid + Math.imul(al1, bh1)) | 0;\n mid = (mid + Math.imul(ah1, bl1)) | 0;\n hi = (hi + Math.imul(ah1, bh1)) | 0;\n lo = (lo + Math.imul(al0, bl2)) | 0;\n mid = (mid + Math.imul(al0, bh2)) | 0;\n mid = (mid + Math.imul(ah0, bl2)) | 0;\n hi = (hi + Math.imul(ah0, bh2)) | 0;\n var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n w2 &= 0x3ffffff;\n /* k = 3 */\n lo = Math.imul(al3, bl0);\n mid = Math.imul(al3, bh0);\n mid = (mid + Math.imul(ah3, bl0)) | 0;\n hi = Math.imul(ah3, bh0);\n lo = (lo + Math.imul(al2, bl1)) | 0;\n mid = (mid + Math.imul(al2, bh1)) | 0;\n mid = (mid + Math.imul(ah2, bl1)) | 0;\n hi = (hi + Math.imul(ah2, bh1)) | 0;\n lo = (lo + Math.imul(al1, bl2)) | 0;\n mid = (mid + Math.imul(al1, bh2)) | 0;\n mid = (mid + Math.imul(ah1, bl2)) | 0;\n hi = (hi + Math.imul(ah1, bh2)) | 0;\n lo = (lo + Math.imul(al0, bl3)) | 0;\n mid = (mid + Math.imul(al0, bh3)) | 0;\n mid = (mid + Math.imul(ah0, bl3)) | 0;\n hi = (hi + Math.imul(ah0, bh3)) | 0;\n var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n w3 &= 0x3ffffff;\n /* k = 4 */\n lo = Math.imul(al4, bl0);\n mid = Math.imul(al4, bh0);\n mid = (mid + Math.imul(ah4, bl0)) | 0;\n hi = Math.imul(ah4, bh0);\n lo = (lo + Math.imul(al3, bl1)) | 0;\n mid = (mid + Math.imul(al3, bh1)) | 0;\n mid = (mid + Math.imul(ah3, bl1)) | 0;\n hi = (hi + Math.imul(ah3, bh1)) | 0;\n lo = (lo + Math.imul(al2, bl2)) | 0;\n mid = (mid + Math.imul(al2, bh2)) | 0;\n mid = (mid + Math.imul(ah2, bl2)) | 0;\n hi = (hi + Math.imul(ah2, bh2)) | 0;\n lo = (lo + Math.imul(al1, bl3)) | 0;\n mid = (mid + Math.imul(al1, bh3)) | 0;\n mid = (mid + Math.imul(ah1, bl3)) | 0;\n hi = (hi + Math.imul(ah1, bh3)) | 0;\n lo = (lo + Math.imul(al0, bl4)) | 0;\n mid = (mid + Math.imul(al0, bh4)) | 0;\n mid = (mid + Math.imul(ah0, bl4)) | 0;\n hi = (hi + Math.imul(ah0, bh4)) | 0;\n var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n w4 &= 0x3ffffff;\n /* k = 5 */\n lo = Math.imul(al5, bl0);\n mid = Math.imul(al5, bh0);\n mid = (mid + Math.imul(ah5, bl0)) | 0;\n hi = Math.imul(ah5, bh0);\n lo = (lo + Math.imul(al4, bl1)) | 0;\n mid = (mid + Math.imul(al4, bh1)) | 0;\n mid = (mid + Math.imul(ah4, bl1)) | 0;\n hi = (hi + Math.imul(ah4, bh1)) | 0;\n lo = (lo + Math.imul(al3, bl2)) | 0;\n mid = (mid + Math.imul(al3, bh2)) | 0;\n mid = (mid + Math.imul(ah3, bl2)) | 0;\n hi = (hi + Math.imul(ah3, bh2)) | 0;\n lo = (lo + Math.imul(al2, bl3)) | 0;\n mid = (mid + Math.imul(al2, bh3)) | 0;\n mid = (mid + Math.imul(ah2, bl3)) | 0;\n hi = (hi + Math.imul(ah2, bh3)) | 0;\n lo = (lo + Math.imul(al1, bl4)) | 0;\n mid = (mid + Math.imul(al1, bh4)) | 0;\n mid = (mid + Math.imul(ah1, bl4)) | 0;\n hi = (hi + Math.imul(ah1, bh4)) | 0;\n lo = (lo + Math.imul(al0, bl5)) | 0;\n mid = (mid + Math.imul(al0, bh5)) | 0;\n mid = (mid + Math.imul(ah0, bl5)) | 0;\n hi = (hi + Math.imul(ah0, bh5)) | 0;\n var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n w5 &= 0x3ffffff;\n /* k = 6 */\n lo = Math.imul(al6, bl0);\n mid = Math.imul(al6, bh0);\n mid = (mid + Math.imul(ah6, bl0)) | 0;\n hi = Math.imul(ah6, bh0);\n lo = (lo + Math.imul(al5, bl1)) | 0;\n mid = (mid + Math.imul(al5, bh1)) | 0;\n mid = (mid + Math.imul(ah5, bl1)) | 0;\n hi = (hi + Math.imul(ah5, bh1)) | 0;\n lo = (lo + Math.imul(al4, bl2)) | 0;\n mid = (mid + Math.imul(al4, bh2)) | 0;\n mid = (mid + Math.imul(ah4, bl2)) | 0;\n hi = (hi + Math.imul(ah4, bh2)) | 0;\n lo = (lo + Math.imul(al3, bl3)) | 0;\n mid = (mid + Math.imul(al3, bh3)) | 0;\n mid = (mid + Math.imul(ah3, bl3)) | 0;\n hi = (hi + Math.imul(ah3, bh3)) | 0;\n lo = (lo + Math.imul(al2, bl4)) | 0;\n mid = (mid + Math.imul(al2, bh4)) | 0;\n mid = (mid + Math.imul(ah2, bl4)) | 0;\n hi = (hi + Math.imul(ah2, bh4)) | 0;\n lo = (lo + Math.imul(al1, bl5)) | 0;\n mid = (mid + Math.imul(al1, bh5)) | 0;\n mid = (mid + Math.imul(ah1, bl5)) | 0;\n hi = (hi + Math.imul(ah1, bh5)) | 0;\n lo = (lo + Math.imul(al0, bl6)) | 0;\n mid = (mid + Math.imul(al0, bh6)) | 0;\n mid = (mid + Math.imul(ah0, bl6)) | 0;\n hi = (hi + Math.imul(ah0, bh6)) | 0;\n var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n w6 &= 0x3ffffff;\n /* k = 7 */\n lo = Math.imul(al7, bl0);\n mid = Math.imul(al7, bh0);\n mid = (mid + Math.imul(ah7, bl0)) | 0;\n hi = Math.imul(ah7, bh0);\n lo = (lo + Math.imul(al6, bl1)) | 0;\n mid = (mid + Math.imul(al6, bh1)) | 0;\n mid = (mid + Math.imul(ah6, bl1)) | 0;\n hi = (hi + Math.imul(ah6, bh1)) | 0;\n lo = (lo + Math.imul(al5, bl2)) | 0;\n mid = (mid + Math.imul(al5, bh2)) | 0;\n mid = (mid + Math.imul(ah5, bl2)) | 0;\n hi = (hi + Math.imul(ah5, bh2)) | 0;\n lo = (lo + Math.imul(al4, bl3)) | 0;\n mid = (mid + Math.imul(al4, bh3)) | 0;\n mid = (mid + Math.imul(ah4, bl3)) | 0;\n hi = (hi + Math.imul(ah4, bh3)) | 0;\n lo = (lo + Math.imul(al3, bl4)) | 0;\n mid = (mid + Math.imul(al3, bh4)) | 0;\n mid = (mid + Math.imul(ah3, bl4)) | 0;\n hi = (hi + Math.imul(ah3, bh4)) | 0;\n lo = (lo + Math.imul(al2, bl5)) | 0;\n mid = (mid + Math.imul(al2, bh5)) | 0;\n mid = (mid + Math.imul(ah2, bl5)) | 0;\n hi = (hi + Math.imul(ah2, bh5)) | 0;\n lo = (lo + Math.imul(al1, bl6)) | 0;\n mid = (mid + Math.imul(al1, bh6)) | 0;\n mid = (mid + Math.imul(ah1, bl6)) | 0;\n hi = (hi + Math.imul(ah1, bh6)) | 0;\n lo = (lo + Math.imul(al0, bl7)) | 0;\n mid = (mid + Math.imul(al0, bh7)) | 0;\n mid = (mid + Math.imul(ah0, bl7)) | 0;\n hi = (hi + Math.imul(ah0, bh7)) | 0;\n var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n w7 &= 0x3ffffff;\n /* k = 8 */\n lo = Math.imul(al8, bl0);\n mid = Math.imul(al8, bh0);\n mid = (mid + Math.imul(ah8, bl0)) | 0;\n hi = Math.imul(ah8, bh0);\n lo = (lo + Math.imul(al7, bl1)) | 0;\n mid = (mid + Math.imul(al7, bh1)) | 0;\n mid = (mid + Math.imul(ah7, bl1)) | 0;\n hi = (hi + Math.imul(ah7, bh1)) | 0;\n lo = (lo + Math.imul(al6, bl2)) | 0;\n mid = (mid + Math.imul(al6, bh2)) | 0;\n mid = (mid + Math.imul(ah6, bl2)) | 0;\n hi = (hi + Math.imul(ah6, bh2)) | 0;\n lo = (lo + Math.imul(al5, bl3)) | 0;\n mid = (mid + Math.imul(al5, bh3)) | 0;\n mid = (mid + Math.imul(ah5, bl3)) | 0;\n hi = (hi + Math.imul(ah5, bh3)) | 0;\n lo = (lo + Math.imul(al4, bl4)) | 0;\n mid = (mid + Math.imul(al4, bh4)) | 0;\n mid = (mid + Math.imul(ah4, bl4)) | 0;\n hi = (hi + Math.imul(ah4, bh4)) | 0;\n lo = (lo + Math.imul(al3, bl5)) | 0;\n mid = (mid + Math.imul(al3, bh5)) | 0;\n mid = (mid + Math.imul(ah3, bl5)) | 0;\n hi = (hi + Math.imul(ah3, bh5)) | 0;\n lo = (lo + Math.imul(al2, bl6)) | 0;\n mid = (mid + Math.imul(al2, bh6)) | 0;\n mid = (mid + Math.imul(ah2, bl6)) | 0;\n hi = (hi + Math.imul(ah2, bh6)) | 0;\n lo = (lo + Math.imul(al1, bl7)) | 0;\n mid = (mid + Math.imul(al1, bh7)) | 0;\n mid = (mid + Math.imul(ah1, bl7)) | 0;\n hi = (hi + Math.imul(ah1, bh7)) | 0;\n lo = (lo + Math.imul(al0, bl8)) | 0;\n mid = (mid + Math.imul(al0, bh8)) | 0;\n mid = (mid + Math.imul(ah0, bl8)) | 0;\n hi = (hi + Math.imul(ah0, bh8)) | 0;\n var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n w8 &= 0x3ffffff;\n /* k = 9 */\n lo = Math.imul(al9, bl0);\n mid = Math.imul(al9, bh0);\n mid = (mid + Math.imul(ah9, bl0)) | 0;\n hi = Math.imul(ah9, bh0);\n lo = (lo + Math.imul(al8, bl1)) | 0;\n mid = (mid + Math.imul(al8, bh1)) | 0;\n mid = (mid + Math.imul(ah8, bl1)) | 0;\n hi = (hi + Math.imul(ah8, bh1)) | 0;\n lo = (lo + Math.imul(al7, bl2)) | 0;\n mid = (mid + Math.imul(al7, bh2)) | 0;\n mid = (mid + Math.imul(ah7, bl2)) | 0;\n hi = (hi + Math.imul(ah7, bh2)) | 0;\n lo = (lo + Math.imul(al6, bl3)) | 0;\n mid = (mid + Math.imul(al6, bh3)) | 0;\n mid = (mid + Math.imul(ah6, bl3)) | 0;\n hi = (hi + Math.imul(ah6, bh3)) | 0;\n lo = (lo + Math.imul(al5, bl4)) | 0;\n mid = (mid + Math.imul(al5, bh4)) | 0;\n mid = (mid + Math.imul(ah5, bl4)) | 0;\n hi = (hi + Math.imul(ah5, bh4)) | 0;\n lo = (lo + Math.imul(al4, bl5)) | 0;\n mid = (mid + Math.imul(al4, bh5)) | 0;\n mid = (mid + Math.imul(ah4, bl5)) | 0;\n hi = (hi + Math.imul(ah4, bh5)) | 0;\n lo = (lo + Math.imul(al3, bl6)) | 0;\n mid = (mid + Math.imul(al3, bh6)) | 0;\n mid = (mid + Math.imul(ah3, bl6)) | 0;\n hi = (hi + Math.imul(ah3, bh6)) | 0;\n lo = (lo + Math.imul(al2, bl7)) | 0;\n mid = (mid + Math.imul(al2, bh7)) | 0;\n mid = (mid + Math.imul(ah2, bl7)) | 0;\n hi = (hi + Math.imul(ah2, bh7)) | 0;\n lo = (lo + Math.imul(al1, bl8)) | 0;\n mid = (mid + Math.imul(al1, bh8)) | 0;\n mid = (mid + Math.imul(ah1, bl8)) | 0;\n hi = (hi + Math.imul(ah1, bh8)) | 0;\n lo = (lo + Math.imul(al0, bl9)) | 0;\n mid = (mid + Math.imul(al0, bh9)) | 0;\n mid = (mid + Math.imul(ah0, bl9)) | 0;\n hi = (hi + Math.imul(ah0, bh9)) | 0;\n var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n w9 &= 0x3ffffff;\n /* k = 10 */\n lo = Math.imul(al9, bl1);\n mid = Math.imul(al9, bh1);\n mid = (mid + Math.imul(ah9, bl1)) | 0;\n hi = Math.imul(ah9, bh1);\n lo = (lo + Math.imul(al8, bl2)) | 0;\n mid = (mid + Math.imul(al8, bh2)) | 0;\n mid = (mid + Math.imul(ah8, bl2)) | 0;\n hi = (hi + Math.imul(ah8, bh2)) | 0;\n lo = (lo + Math.imul(al7, bl3)) | 0;\n mid = (mid + Math.imul(al7, bh3)) | 0;\n mid = (mid + Math.imul(ah7, bl3)) | 0;\n hi = (hi + Math.imul(ah7, bh3)) | 0;\n lo = (lo + Math.imul(al6, bl4)) | 0;\n mid = (mid + Math.imul(al6, bh4)) | 0;\n mid = (mid + Math.imul(ah6, bl4)) | 0;\n hi = (hi + Math.imul(ah6, bh4)) | 0;\n lo = (lo + Math.imul(al5, bl5)) | 0;\n mid = (mid + Math.imul(al5, bh5)) | 0;\n mid = (mid + Math.imul(ah5, bl5)) | 0;\n hi = (hi + Math.imul(ah5, bh5)) | 0;\n lo = (lo + Math.imul(al4, bl6)) | 0;\n mid = (mid + Math.imul(al4, bh6)) | 0;\n mid = (mid + Math.imul(ah4, bl6)) | 0;\n hi = (hi + Math.imul(ah4, bh6)) | 0;\n lo = (lo + Math.imul(al3, bl7)) | 0;\n mid = (mid + Math.imul(al3, bh7)) | 0;\n mid = (mid + Math.imul(ah3, bl7)) | 0;\n hi = (hi + Math.imul(ah3, bh7)) | 0;\n lo = (lo + Math.imul(al2, bl8)) | 0;\n mid = (mid + Math.imul(al2, bh8)) | 0;\n mid = (mid + Math.imul(ah2, bl8)) | 0;\n hi = (hi + Math.imul(ah2, bh8)) | 0;\n lo = (lo + Math.imul(al1, bl9)) | 0;\n mid = (mid + Math.imul(al1, bh9)) | 0;\n mid = (mid + Math.imul(ah1, bl9)) | 0;\n hi = (hi + Math.imul(ah1, bh9)) | 0;\n var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n w10 &= 0x3ffffff;\n /* k = 11 */\n lo = Math.imul(al9, bl2);\n mid = Math.imul(al9, bh2);\n mid = (mid + Math.imul(ah9, bl2)) | 0;\n hi = Math.imul(ah9, bh2);\n lo = (lo + Math.imul(al8, bl3)) | 0;\n mid = (mid + Math.imul(al8, bh3)) | 0;\n mid = (mid + Math.imul(ah8, bl3)) | 0;\n hi = (hi + Math.imul(ah8, bh3)) | 0;\n lo = (lo + Math.imul(al7, bl4)) | 0;\n mid = (mid + Math.imul(al7, bh4)) | 0;\n mid = (mid + Math.imul(ah7, bl4)) | 0;\n hi = (hi + Math.imul(ah7, bh4)) | 0;\n lo = (lo + Math.imul(al6, bl5)) | 0;\n mid = (mid + Math.imul(al6, bh5)) | 0;\n mid = (mid + Math.imul(ah6, bl5)) | 0;\n hi = (hi + Math.imul(ah6, bh5)) | 0;\n lo = (lo + Math.imul(al5, bl6)) | 0;\n mid = (mid + Math.imul(al5, bh6)) | 0;\n mid = (mid + Math.imul(ah5, bl6)) | 0;\n hi = (hi + Math.imul(ah5, bh6)) | 0;\n lo = (lo + Math.imul(al4, bl7)) | 0;\n mid = (mid + Math.imul(al4, bh7)) | 0;\n mid = (mid + Math.imul(ah4, bl7)) | 0;\n hi = (hi + Math.imul(ah4, bh7)) | 0;\n lo = (lo + Math.imul(al3, bl8)) | 0;\n mid = (mid + Math.imul(al3, bh8)) | 0;\n mid = (mid + Math.imul(ah3, bl8)) | 0;\n hi = (hi + Math.imul(ah3, bh8)) | 0;\n lo = (lo + Math.imul(al2, bl9)) | 0;\n mid = (mid + Math.imul(al2, bh9)) | 0;\n mid = (mid + Math.imul(ah2, bl9)) | 0;\n hi = (hi + Math.imul(ah2, bh9)) | 0;\n var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n w11 &= 0x3ffffff;\n /* k = 12 */\n lo = Math.imul(al9, bl3);\n mid = Math.imul(al9, bh3);\n mid = (mid + Math.imul(ah9, bl3)) | 0;\n hi = Math.imul(ah9, bh3);\n lo = (lo + Math.imul(al8, bl4)) | 0;\n mid = (mid + Math.imul(al8, bh4)) | 0;\n mid = (mid + Math.imul(ah8, bl4)) | 0;\n hi = (hi + Math.imul(ah8, bh4)) | 0;\n lo = (lo + Math.imul(al7, bl5)) | 0;\n mid = (mid + Math.imul(al7, bh5)) | 0;\n mid = (mid + Math.imul(ah7, bl5)) | 0;\n hi = (hi + Math.imul(ah7, bh5)) | 0;\n lo = (lo + Math.imul(al6, bl6)) | 0;\n mid = (mid + Math.imul(al6, bh6)) | 0;\n mid = (mid + Math.imul(ah6, bl6)) | 0;\n hi = (hi + Math.imul(ah6, bh6)) | 0;\n lo = (lo + Math.imul(al5, bl7)) | 0;\n mid = (mid + Math.imul(al5, bh7)) | 0;\n mid = (mid + Math.imul(ah5, bl7)) | 0;\n hi = (hi + Math.imul(ah5, bh7)) | 0;\n lo = (lo + Math.imul(al4, bl8)) | 0;\n mid = (mid + Math.imul(al4, bh8)) | 0;\n mid = (mid + Math.imul(ah4, bl8)) | 0;\n hi = (hi + Math.imul(ah4, bh8)) | 0;\n lo = (lo + Math.imul(al3, bl9)) | 0;\n mid = (mid + Math.imul(al3, bh9)) | 0;\n mid = (mid + Math.imul(ah3, bl9)) | 0;\n hi = (hi + Math.imul(ah3, bh9)) | 0;\n var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n w12 &= 0x3ffffff;\n /* k = 13 */\n lo = Math.imul(al9, bl4);\n mid = Math.imul(al9, bh4);\n mid = (mid + Math.imul(ah9, bl4)) | 0;\n hi = Math.imul(ah9, bh4);\n lo = (lo + Math.imul(al8, bl5)) | 0;\n mid = (mid + Math.imul(al8, bh5)) | 0;\n mid = (mid + Math.imul(ah8, bl5)) | 0;\n hi = (hi + Math.imul(ah8, bh5)) | 0;\n lo = (lo + Math.imul(al7, bl6)) | 0;\n mid = (mid + Math.imul(al7, bh6)) | 0;\n mid = (mid + Math.imul(ah7, bl6)) | 0;\n hi = (hi + Math.imul(ah7, bh6)) | 0;\n lo = (lo + Math.imul(al6, bl7)) | 0;\n mid = (mid + Math.imul(al6, bh7)) | 0;\n mid = (mid + Math.imul(ah6, bl7)) | 0;\n hi = (hi + Math.imul(ah6, bh7)) | 0;\n lo = (lo + Math.imul(al5, bl8)) | 0;\n mid = (mid + Math.imul(al5, bh8)) | 0;\n mid = (mid + Math.imul(ah5, bl8)) | 0;\n hi = (hi + Math.imul(ah5, bh8)) | 0;\n lo = (lo + Math.imul(al4, bl9)) | 0;\n mid = (mid + Math.imul(al4, bh9)) | 0;\n mid = (mid + Math.imul(ah4, bl9)) | 0;\n hi = (hi + Math.imul(ah4, bh9)) | 0;\n var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n w13 &= 0x3ffffff;\n /* k = 14 */\n lo = Math.imul(al9, bl5);\n mid = Math.imul(al9, bh5);\n mid = (mid + Math.imul(ah9, bl5)) | 0;\n hi = Math.imul(ah9, bh5);\n lo = (lo + Math.imul(al8, bl6)) | 0;\n mid = (mid + Math.imul(al8, bh6)) | 0;\n mid = (mid + Math.imul(ah8, bl6)) | 0;\n hi = (hi + Math.imul(ah8, bh6)) | 0;\n lo = (lo + Math.imul(al7, bl7)) | 0;\n mid = (mid + Math.imul(al7, bh7)) | 0;\n mid = (mid + Math.imul(ah7, bl7)) | 0;\n hi = (hi + Math.imul(ah7, bh7)) | 0;\n lo = (lo + Math.imul(al6, bl8)) | 0;\n mid = (mid + Math.imul(al6, bh8)) | 0;\n mid = (mid + Math.imul(ah6, bl8)) | 0;\n hi = (hi + Math.imul(ah6, bh8)) | 0;\n lo = (lo + Math.imul(al5, bl9)) | 0;\n mid = (mid + Math.imul(al5, bh9)) | 0;\n mid = (mid + Math.imul(ah5, bl9)) | 0;\n hi = (hi + Math.imul(ah5, bh9)) | 0;\n var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n w14 &= 0x3ffffff;\n /* k = 15 */\n lo = Math.imul(al9, bl6);\n mid = Math.imul(al9, bh6);\n mid = (mid + Math.imul(ah9, bl6)) | 0;\n hi = Math.imul(ah9, bh6);\n lo = (lo + Math.imul(al8, bl7)) | 0;\n mid = (mid + Math.imul(al8, bh7)) | 0;\n mid = (mid + Math.imul(ah8, bl7)) | 0;\n hi = (hi + Math.imul(ah8, bh7)) | 0;\n lo = (lo + Math.imul(al7, bl8)) | 0;\n mid = (mid + Math.imul(al7, bh8)) | 0;\n mid = (mid + Math.imul(ah7, bl8)) | 0;\n hi = (hi + Math.imul(ah7, bh8)) | 0;\n lo = (lo + Math.imul(al6, bl9)) | 0;\n mid = (mid + Math.imul(al6, bh9)) | 0;\n mid = (mid + Math.imul(ah6, bl9)) | 0;\n hi = (hi + Math.imul(ah6, bh9)) | 0;\n var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n w15 &= 0x3ffffff;\n /* k = 16 */\n lo = Math.imul(al9, bl7);\n mid = Math.imul(al9, bh7);\n mid = (mid + Math.imul(ah9, bl7)) | 0;\n hi = Math.imul(ah9, bh7);\n lo = (lo + Math.imul(al8, bl8)) | 0;\n mid = (mid + Math.imul(al8, bh8)) | 0;\n mid = (mid + Math.imul(ah8, bl8)) | 0;\n hi = (hi + Math.imul(ah8, bh8)) | 0;\n lo = (lo + Math.imul(al7, bl9)) | 0;\n mid = (mid + Math.imul(al7, bh9)) | 0;\n mid = (mid + Math.imul(ah7, bl9)) | 0;\n hi = (hi + Math.imul(ah7, bh9)) | 0;\n var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n w16 &= 0x3ffffff;\n /* k = 17 */\n lo = Math.imul(al9, bl8);\n mid = Math.imul(al9, bh8);\n mid = (mid + Math.imul(ah9, bl8)) | 0;\n hi = Math.imul(ah9, bh8);\n lo = (lo + Math.imul(al8, bl9)) | 0;\n mid = (mid + Math.imul(al8, bh9)) | 0;\n mid = (mid + Math.imul(ah8, bl9)) | 0;\n hi = (hi + Math.imul(ah8, bh9)) | 0;\n var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n w17 &= 0x3ffffff;\n /* k = 18 */\n lo = Math.imul(al9, bl9);\n mid = Math.imul(al9, bh9);\n mid = (mid + Math.imul(ah9, bl9)) | 0;\n hi = Math.imul(ah9, bh9);\n var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n w18 &= 0x3ffffff;\n o[0] = w0;\n o[1] = w1;\n o[2] = w2;\n o[3] = w3;\n o[4] = w4;\n o[5] = w5;\n o[6] = w6;\n o[7] = w7;\n o[8] = w8;\n o[9] = w9;\n o[10] = w10;\n o[11] = w11;\n o[12] = w12;\n o[13] = w13;\n o[14] = w14;\n o[15] = w15;\n o[16] = w16;\n o[17] = w17;\n o[18] = w18;\n if (c !== 0) {\n o[19] = c;\n out.length++;\n }\n return out;\n };\n\n // Polyfill comb\n if (!Math.imul) {\n comb10MulTo = smallMulTo;\n }\n\n function bigMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n out.length = self.length + num.length;\n\n var carry = 0;\n var hncarry = 0;\n for (var k = 0; k < out.length - 1; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = hncarry;\n hncarry = 0;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = k - j;\n var a = self.words[i] | 0;\n var b = num.words[j] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n lo = (lo + rword) | 0;\n rword = lo & 0x3ffffff;\n ncarry = (ncarry + (lo >>> 26)) | 0;\n\n hncarry += ncarry >>> 26;\n ncarry &= 0x3ffffff;\n }\n out.words[k] = rword;\n carry = ncarry;\n ncarry = hncarry;\n }\n if (carry !== 0) {\n out.words[k] = carry;\n } else {\n out.length--;\n }\n\n return out.strip();\n }\n\n function jumboMulTo (self, num, out) {\n var fftm = new FFTM();\n return fftm.mulp(self, num, out);\n }\n\n BN.prototype.mulTo = function mulTo (num, out) {\n var res;\n var len = this.length + num.length;\n if (this.length === 10 && num.length === 10) {\n res = comb10MulTo(this, num, out);\n } else if (len < 63) {\n res = smallMulTo(this, num, out);\n } else if (len < 1024) {\n res = bigMulTo(this, num, out);\n } else {\n res = jumboMulTo(this, num, out);\n }\n\n return res;\n };\n\n // Cooley-Tukey algorithm for FFT\n // slightly revisited to rely on looping instead of recursion\n\n function FFTM (x, y) {\n this.x = x;\n this.y = y;\n }\n\n FFTM.prototype.makeRBT = function makeRBT (N) {\n var t = new Array(N);\n var l = BN.prototype._countBits(N) - 1;\n for (var i = 0; i < N; i++) {\n t[i] = this.revBin(i, l, N);\n }\n\n return t;\n };\n\n // Returns binary-reversed representation of `x`\n FFTM.prototype.revBin = function revBin (x, l, N) {\n if (x === 0 || x === N - 1) return x;\n\n var rb = 0;\n for (var i = 0; i < l; i++) {\n rb |= (x & 1) << (l - i - 1);\n x >>= 1;\n }\n\n return rb;\n };\n\n // Performs \"tweedling\" phase, therefore 'emulating'\n // behaviour of the recursive algorithm\n FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n for (var i = 0; i < N; i++) {\n rtws[i] = rws[rbt[i]];\n itws[i] = iws[rbt[i]];\n }\n };\n\n FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n this.permute(rbt, rws, iws, rtws, itws, N);\n\n for (var s = 1; s < N; s <<= 1) {\n var l = s << 1;\n\n var rtwdf = Math.cos(2 * Math.PI / l);\n var itwdf = Math.sin(2 * Math.PI / l);\n\n for (var p = 0; p < N; p += l) {\n var rtwdf_ = rtwdf;\n var itwdf_ = itwdf;\n\n for (var j = 0; j < s; j++) {\n var re = rtws[p + j];\n var ie = itws[p + j];\n\n var ro = rtws[p + j + s];\n var io = itws[p + j + s];\n\n var rx = rtwdf_ * ro - itwdf_ * io;\n\n io = rtwdf_ * io + itwdf_ * ro;\n ro = rx;\n\n rtws[p + j] = re + ro;\n itws[p + j] = ie + io;\n\n rtws[p + j + s] = re - ro;\n itws[p + j + s] = ie - io;\n\n /* jshint maxdepth : false */\n if (j !== l) {\n rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n rtwdf_ = rx;\n }\n }\n }\n }\n };\n\n FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n var N = Math.max(m, n) | 1;\n var odd = N & 1;\n var i = 0;\n for (N = N / 2 | 0; N; N = N >>> 1) {\n i++;\n }\n\n return 1 << i + 1 + odd;\n };\n\n FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n if (N <= 1) return;\n\n for (var i = 0; i < N / 2; i++) {\n var t = rws[i];\n\n rws[i] = rws[N - i - 1];\n rws[N - i - 1] = t;\n\n t = iws[i];\n\n iws[i] = -iws[N - i - 1];\n iws[N - i - 1] = -t;\n }\n };\n\n FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n var carry = 0;\n for (var i = 0; i < N / 2; i++) {\n var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n Math.round(ws[2 * i] / N) +\n carry;\n\n ws[i] = w & 0x3ffffff;\n\n if (w < 0x4000000) {\n carry = 0;\n } else {\n carry = w / 0x4000000 | 0;\n }\n }\n\n return ws;\n };\n\n FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n var carry = 0;\n for (var i = 0; i < len; i++) {\n carry = carry + (ws[i] | 0);\n\n rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n }\n\n // Pad with zeroes\n for (i = 2 * len; i < N; ++i) {\n rws[i] = 0;\n }\n\n assert(carry === 0);\n assert((carry & ~0x1fff) === 0);\n };\n\n FFTM.prototype.stub = function stub (N) {\n var ph = new Array(N);\n for (var i = 0; i < N; i++) {\n ph[i] = 0;\n }\n\n return ph;\n };\n\n FFTM.prototype.mulp = function mulp (x, y, out) {\n var N = 2 * this.guessLen13b(x.length, y.length);\n\n var rbt = this.makeRBT(N);\n\n var _ = this.stub(N);\n\n var rws = new Array(N);\n var rwst = new Array(N);\n var iwst = new Array(N);\n\n var nrws = new Array(N);\n var nrwst = new Array(N);\n var niwst = new Array(N);\n\n var rmws = out.words;\n rmws.length = N;\n\n this.convert13b(x.words, x.length, rws, N);\n this.convert13b(y.words, y.length, nrws, N);\n\n this.transform(rws, _, rwst, iwst, N, rbt);\n this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n for (var i = 0; i < N; i++) {\n var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n rwst[i] = rx;\n }\n\n this.conjugate(rwst, iwst, N);\n this.transform(rwst, iwst, rmws, _, N, rbt);\n this.conjugate(rmws, _, N);\n this.normalize13b(rmws, N);\n\n out.negative = x.negative ^ y.negative;\n out.length = x.length + y.length;\n return out.strip();\n };\n\n // Multiply `this` by `num`\n BN.prototype.mul = function mul (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return this.mulTo(num, out);\n };\n\n // Multiply employing FFT\n BN.prototype.mulf = function mulf (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return jumboMulTo(this, num, out);\n };\n\n // In-place Multiplication\n BN.prototype.imul = function imul (num) {\n return this.clone().mulTo(num, this);\n };\n\n BN.prototype.imuln = function imuln (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n\n // Carry\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = (this.words[i] | 0) * num;\n var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n carry >>= 26;\n carry += (w / 0x4000000) | 0;\n // NOTE: lo is 27bit maximum\n carry += lo >>> 26;\n this.words[i] = lo & 0x3ffffff;\n }\n\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n\n return this;\n };\n\n BN.prototype.muln = function muln (num) {\n return this.clone().imuln(num);\n };\n\n // `this` * `this`\n BN.prototype.sqr = function sqr () {\n return this.mul(this);\n };\n\n // `this` * `this` in-place\n BN.prototype.isqr = function isqr () {\n return this.imul(this.clone());\n };\n\n // Math.pow(`this`, `num`)\n BN.prototype.pow = function pow (num) {\n var w = toBitArray(num);\n if (w.length === 0) return new BN(1);\n\n // Skip leading zeroes\n var res = this;\n for (var i = 0; i < w.length; i++, res = res.sqr()) {\n if (w[i] !== 0) break;\n }\n\n if (++i < w.length) {\n for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n if (w[i] === 0) continue;\n\n res = res.mul(q);\n }\n }\n\n return res;\n };\n\n // Shift-left in-place\n BN.prototype.iushln = function iushln (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n var i;\n\n if (r !== 0) {\n var carry = 0;\n\n for (i = 0; i < this.length; i++) {\n var newCarry = this.words[i] & carryMask;\n var c = ((this.words[i] | 0) - newCarry) << r;\n this.words[i] = c | carry;\n carry = newCarry >>> (26 - r);\n }\n\n if (carry) {\n this.words[i] = carry;\n this.length++;\n }\n }\n\n if (s !== 0) {\n for (i = this.length - 1; i >= 0; i--) {\n this.words[i + s] = this.words[i];\n }\n\n for (i = 0; i < s; i++) {\n this.words[i] = 0;\n }\n\n this.length += s;\n }\n\n return this.strip();\n };\n\n BN.prototype.ishln = function ishln (bits) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushln(bits);\n };\n\n // Shift-right in-place\n // NOTE: `hint` is a lowest bit before trailing zeroes\n // NOTE: if `extended` is present - it will be filled with destroyed bits\n BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n assert(typeof bits === 'number' && bits >= 0);\n var h;\n if (hint) {\n h = (hint - (hint % 26)) / 26;\n } else {\n h = 0;\n }\n\n var r = bits % 26;\n var s = Math.min((bits - r) / 26, this.length);\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n var maskedWords = extended;\n\n h -= s;\n h = Math.max(0, h);\n\n // Extended mode, copy masked part\n if (maskedWords) {\n for (var i = 0; i < s; i++) {\n maskedWords.words[i] = this.words[i];\n }\n maskedWords.length = s;\n }\n\n if (s === 0) {\n // No-op, we should not move anything at all\n } else if (this.length > s) {\n this.length -= s;\n for (i = 0; i < this.length; i++) {\n this.words[i] = this.words[i + s];\n }\n } else {\n this.words[0] = 0;\n this.length = 1;\n }\n\n var carry = 0;\n for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n var word = this.words[i] | 0;\n this.words[i] = (carry << (26 - r)) | (word >>> r);\n carry = word & mask;\n }\n\n // Push carried bits as a mask\n if (maskedWords && carry !== 0) {\n maskedWords.words[maskedWords.length++] = carry;\n }\n\n if (this.length === 0) {\n this.words[0] = 0;\n this.length = 1;\n }\n\n return this.strip();\n };\n\n BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushrn(bits, hint, extended);\n };\n\n // Shift-left\n BN.prototype.shln = function shln (bits) {\n return this.clone().ishln(bits);\n };\n\n BN.prototype.ushln = function ushln (bits) {\n return this.clone().iushln(bits);\n };\n\n // Shift-right\n BN.prototype.shrn = function shrn (bits) {\n return this.clone().ishrn(bits);\n };\n\n BN.prototype.ushrn = function ushrn (bits) {\n return this.clone().iushrn(bits);\n };\n\n // Test if n bit is set\n BN.prototype.testn = function testn (bit) {\n assert(typeof bit === 'number' && bit >= 0);\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) return false;\n\n // Check bit and return\n var w = this.words[s];\n\n return !!(w & q);\n };\n\n // Return only lowers bits of number (in-place)\n BN.prototype.imaskn = function imaskn (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n\n assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n if (this.length <= s) {\n return this;\n }\n\n if (r !== 0) {\n s++;\n }\n this.length = Math.min(s, this.length);\n\n if (r !== 0) {\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n this.words[this.length - 1] &= mask;\n }\n\n return this.strip();\n };\n\n // Return only lowers bits of number\n BN.prototype.maskn = function maskn (bits) {\n return this.clone().imaskn(bits);\n };\n\n // Add plain number `num` to `this`\n BN.prototype.iaddn = function iaddn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.isubn(-num);\n\n // Possible sign change\n if (this.negative !== 0) {\n if (this.length === 1 && (this.words[0] | 0) < num) {\n this.words[0] = num - (this.words[0] | 0);\n this.negative = 0;\n return this;\n }\n\n this.negative = 0;\n this.isubn(num);\n this.negative = 1;\n return this;\n }\n\n // Add without checks\n return this._iaddn(num);\n };\n\n BN.prototype._iaddn = function _iaddn (num) {\n this.words[0] += num;\n\n // Carry\n for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n this.words[i] -= 0x4000000;\n if (i === this.length - 1) {\n this.words[i + 1] = 1;\n } else {\n this.words[i + 1]++;\n }\n }\n this.length = Math.max(this.length, i + 1);\n\n return this;\n };\n\n // Subtract plain number `num` from `this`\n BN.prototype.isubn = function isubn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.iaddn(-num);\n\n if (this.negative !== 0) {\n this.negative = 0;\n this.iaddn(num);\n this.negative = 1;\n return this;\n }\n\n this.words[0] -= num;\n\n if (this.length === 1 && this.words[0] < 0) {\n this.words[0] = -this.words[0];\n this.negative = 1;\n } else {\n // Carry\n for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n this.words[i] += 0x4000000;\n this.words[i + 1] -= 1;\n }\n }\n\n return this.strip();\n };\n\n BN.prototype.addn = function addn (num) {\n return this.clone().iaddn(num);\n };\n\n BN.prototype.subn = function subn (num) {\n return this.clone().isubn(num);\n };\n\n BN.prototype.iabs = function iabs () {\n this.negative = 0;\n\n return this;\n };\n\n BN.prototype.abs = function abs () {\n return this.clone().iabs();\n };\n\n BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n var len = num.length + shift;\n var i;\n\n this._expand(len);\n\n var w;\n var carry = 0;\n for (i = 0; i < num.length; i++) {\n w = (this.words[i + shift] | 0) + carry;\n var right = (num.words[i] | 0) * mul;\n w -= right & 0x3ffffff;\n carry = (w >> 26) - ((right / 0x4000000) | 0);\n this.words[i + shift] = w & 0x3ffffff;\n }\n for (; i < this.length - shift; i++) {\n w = (this.words[i + shift] | 0) + carry;\n carry = w >> 26;\n this.words[i + shift] = w & 0x3ffffff;\n }\n\n if (carry === 0) return this.strip();\n\n // Subtraction overflow\n assert(carry === -1);\n carry = 0;\n for (i = 0; i < this.length; i++) {\n w = -(this.words[i] | 0) + carry;\n carry = w >> 26;\n this.words[i] = w & 0x3ffffff;\n }\n this.negative = 1;\n\n return this.strip();\n };\n\n BN.prototype._wordDiv = function _wordDiv (num, mode) {\n var shift = this.length - num.length;\n\n var a = this.clone();\n var b = num;\n\n // Normalize\n var bhi = b.words[b.length - 1] | 0;\n var bhiBits = this._countBits(bhi);\n shift = 26 - bhiBits;\n if (shift !== 0) {\n b = b.ushln(shift);\n a.iushln(shift);\n bhi = b.words[b.length - 1] | 0;\n }\n\n // Initialize quotient\n var m = a.length - b.length;\n var q;\n\n if (mode !== 'mod') {\n q = new BN(null);\n q.length = m + 1;\n q.words = new Array(q.length);\n for (var i = 0; i < q.length; i++) {\n q.words[i] = 0;\n }\n }\n\n var diff = a.clone()._ishlnsubmul(b, 1, m);\n if (diff.negative === 0) {\n a = diff;\n if (q) {\n q.words[m] = 1;\n }\n }\n\n for (var j = m - 1; j >= 0; j--) {\n var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n (a.words[b.length + j - 1] | 0);\n\n // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n // (0x7ffffff)\n qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n a._ishlnsubmul(b, qj, j);\n while (a.negative !== 0) {\n qj--;\n a.negative = 0;\n a._ishlnsubmul(b, 1, j);\n if (!a.isZero()) {\n a.negative ^= 1;\n }\n }\n if (q) {\n q.words[j] = qj;\n }\n }\n if (q) {\n q.strip();\n }\n a.strip();\n\n // Denormalize\n if (mode !== 'div' && shift !== 0) {\n a.iushrn(shift);\n }\n\n return {\n div: q || null,\n mod: a\n };\n };\n\n // NOTE: 1) `mode` can be set to `mod` to request mod only,\n // to `div` to request div only, or be absent to\n // request both div & mod\n // 2) `positive` is true if unsigned mod is requested\n BN.prototype.divmod = function divmod (num, mode, positive) {\n assert(!num.isZero());\n\n if (this.isZero()) {\n return {\n div: new BN(0),\n mod: new BN(0)\n };\n }\n\n var div, mod, res;\n if (this.negative !== 0 && num.negative === 0) {\n res = this.neg().divmod(num, mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.iadd(num);\n }\n }\n\n return {\n div: div,\n mod: mod\n };\n }\n\n if (this.negative === 0 && num.negative !== 0) {\n res = this.divmod(num.neg(), mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n return {\n div: div,\n mod: res.mod\n };\n }\n\n if ((this.negative & num.negative) !== 0) {\n res = this.neg().divmod(num.neg(), mode);\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.isub(num);\n }\n }\n\n return {\n div: res.div,\n mod: mod\n };\n }\n\n // Both numbers are positive at this point\n\n // Strip both numbers to approximate shift value\n if (num.length > this.length || this.cmp(num) < 0) {\n return {\n div: new BN(0),\n mod: this\n };\n }\n\n // Very short reduction\n if (num.length === 1) {\n if (mode === 'div') {\n return {\n div: this.divn(num.words[0]),\n mod: null\n };\n }\n\n if (mode === 'mod') {\n return {\n div: null,\n mod: new BN(this.modn(num.words[0]))\n };\n }\n\n return {\n div: this.divn(num.words[0]),\n mod: new BN(this.modn(num.words[0]))\n };\n }\n\n return this._wordDiv(num, mode);\n };\n\n // Find `this` / `num`\n BN.prototype.div = function div (num) {\n return this.divmod(num, 'div', false).div;\n };\n\n // Find `this` % `num`\n BN.prototype.mod = function mod (num) {\n return this.divmod(num, 'mod', false).mod;\n };\n\n BN.prototype.umod = function umod (num) {\n return this.divmod(num, 'mod', true).mod;\n };\n\n // Find Round(`this` / `num`)\n BN.prototype.divRound = function divRound (num) {\n var dm = this.divmod(num);\n\n // Fast case - exact division\n if (dm.mod.isZero()) return dm.div;\n\n var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;\n\n var half = num.ushrn(1);\n var r2 = num.andln(1);\n var cmp = mod.cmp(half);\n\n // Round down\n if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div;\n\n // Round up\n return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);\n };\n\n BN.prototype.modn = function modn (num) {\n assert(num <= 0x3ffffff);\n var p = (1 << 26) % num;\n\n var acc = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n acc = (p * acc + (this.words[i] | 0)) % num;\n }\n\n return acc;\n };\n\n // In-place division by number\n BN.prototype.idivn = function idivn (num) {\n assert(num <= 0x3ffffff);\n\n var carry = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var w = (this.words[i] | 0) + carry * 0x4000000;\n this.words[i] = (w / num) | 0;\n carry = w % num;\n }\n\n return this.strip();\n };\n\n BN.prototype.divn = function divn (num) {\n return this.clone().idivn(num);\n };\n\n BN.prototype.egcd = function egcd (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var x = this;\n var y = p.clone();\n\n if (x.negative !== 0) {\n x = x.umod(p);\n } else {\n x = x.clone();\n }\n\n // A * x + B * y = x\n var A = new BN(1);\n var B = new BN(0);\n\n // C * x + D * y = y\n var C = new BN(0);\n var D = new BN(1);\n\n var g = 0;\n\n while (x.isEven() && y.isEven()) {\n x.iushrn(1);\n y.iushrn(1);\n ++g;\n }\n\n var yp = y.clone();\n var xp = x.clone();\n\n while (!x.isZero()) {\n for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n x.iushrn(i);\n while (i-- > 0) {\n if (A.isOdd() || B.isOdd()) {\n A.iadd(yp);\n B.isub(xp);\n }\n\n A.iushrn(1);\n B.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n y.iushrn(j);\n while (j-- > 0) {\n if (C.isOdd() || D.isOdd()) {\n C.iadd(yp);\n D.isub(xp);\n }\n\n C.iushrn(1);\n D.iushrn(1);\n }\n }\n\n if (x.cmp(y) >= 0) {\n x.isub(y);\n A.isub(C);\n B.isub(D);\n } else {\n y.isub(x);\n C.isub(A);\n D.isub(B);\n }\n }\n\n return {\n a: C,\n b: D,\n gcd: y.iushln(g)\n };\n };\n\n // This is reduced incarnation of the binary EEA\n // above, designated to invert members of the\n // _prime_ fields F(p) at a maximal speed\n BN.prototype._invmp = function _invmp (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var a = this;\n var b = p.clone();\n\n if (a.negative !== 0) {\n a = a.umod(p);\n } else {\n a = a.clone();\n }\n\n var x1 = new BN(1);\n var x2 = new BN(0);\n\n var delta = b.clone();\n\n while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n a.iushrn(i);\n while (i-- > 0) {\n if (x1.isOdd()) {\n x1.iadd(delta);\n }\n\n x1.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n b.iushrn(j);\n while (j-- > 0) {\n if (x2.isOdd()) {\n x2.iadd(delta);\n }\n\n x2.iushrn(1);\n }\n }\n\n if (a.cmp(b) >= 0) {\n a.isub(b);\n x1.isub(x2);\n } else {\n b.isub(a);\n x2.isub(x1);\n }\n }\n\n var res;\n if (a.cmpn(1) === 0) {\n res = x1;\n } else {\n res = x2;\n }\n\n if (res.cmpn(0) < 0) {\n res.iadd(p);\n }\n\n return res;\n };\n\n BN.prototype.gcd = function gcd (num) {\n if (this.isZero()) return num.abs();\n if (num.isZero()) return this.abs();\n\n var a = this.clone();\n var b = num.clone();\n a.negative = 0;\n b.negative = 0;\n\n // Remove common factor of two\n for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n a.iushrn(1);\n b.iushrn(1);\n }\n\n do {\n while (a.isEven()) {\n a.iushrn(1);\n }\n while (b.isEven()) {\n b.iushrn(1);\n }\n\n var r = a.cmp(b);\n if (r < 0) {\n // Swap `a` and `b` to make `a` always bigger than `b`\n var t = a;\n a = b;\n b = t;\n } else if (r === 0 || b.cmpn(1) === 0) {\n break;\n }\n\n a.isub(b);\n } while (true);\n\n return b.iushln(shift);\n };\n\n // Invert number in the field F(num)\n BN.prototype.invm = function invm (num) {\n return this.egcd(num).a.umod(num);\n };\n\n BN.prototype.isEven = function isEven () {\n return (this.words[0] & 1) === 0;\n };\n\n BN.prototype.isOdd = function isOdd () {\n return (this.words[0] & 1) === 1;\n };\n\n // And first word and num\n BN.prototype.andln = function andln (num) {\n return this.words[0] & num;\n };\n\n // Increment at the bit position in-line\n BN.prototype.bincn = function bincn (bit) {\n assert(typeof bit === 'number');\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) {\n this._expand(s + 1);\n this.words[s] |= q;\n return this;\n }\n\n // Add bit and propagate, if needed\n var carry = q;\n for (var i = s; carry !== 0 && i < this.length; i++) {\n var w = this.words[i] | 0;\n w += carry;\n carry = w >>> 26;\n w &= 0x3ffffff;\n this.words[i] = w;\n }\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n return this;\n };\n\n BN.prototype.isZero = function isZero () {\n return this.length === 1 && this.words[0] === 0;\n };\n\n BN.prototype.cmpn = function cmpn (num) {\n var negative = num < 0;\n\n if (this.negative !== 0 && !negative) return -1;\n if (this.negative === 0 && negative) return 1;\n\n this.strip();\n\n var res;\n if (this.length > 1) {\n res = 1;\n } else {\n if (negative) {\n num = -num;\n }\n\n assert(num <= 0x3ffffff, 'Number is too big');\n\n var w = this.words[0] | 0;\n res = w === num ? 0 : w < num ? -1 : 1;\n }\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Compare two numbers and return:\n // 1 - if `this` > `num`\n // 0 - if `this` == `num`\n // -1 - if `this` < `num`\n BN.prototype.cmp = function cmp (num) {\n if (this.negative !== 0 && num.negative === 0) return -1;\n if (this.negative === 0 && num.negative !== 0) return 1;\n\n var res = this.ucmp(num);\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Unsigned comparison\n BN.prototype.ucmp = function ucmp (num) {\n // At this point both numbers have the same sign\n if (this.length > num.length) return 1;\n if (this.length < num.length) return -1;\n\n var res = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var a = this.words[i] | 0;\n var b = num.words[i] | 0;\n\n if (a === b) continue;\n if (a < b) {\n res = -1;\n } else if (a > b) {\n res = 1;\n }\n break;\n }\n return res;\n };\n\n BN.prototype.gtn = function gtn (num) {\n return this.cmpn(num) === 1;\n };\n\n BN.prototype.gt = function gt (num) {\n return this.cmp(num) === 1;\n };\n\n BN.prototype.gten = function gten (num) {\n return this.cmpn(num) >= 0;\n };\n\n BN.prototype.gte = function gte (num) {\n return this.cmp(num) >= 0;\n };\n\n BN.prototype.ltn = function ltn (num) {\n return this.cmpn(num) === -1;\n };\n\n BN.prototype.lt = function lt (num) {\n return this.cmp(num) === -1;\n };\n\n BN.prototype.lten = function lten (num) {\n return this.cmpn(num) <= 0;\n };\n\n BN.prototype.lte = function lte (num) {\n return this.cmp(num) <= 0;\n };\n\n BN.prototype.eqn = function eqn (num) {\n return this.cmpn(num) === 0;\n };\n\n BN.prototype.eq = function eq (num) {\n return this.cmp(num) === 0;\n };\n\n //\n // A reduce context, could be using montgomery or something better, depending\n // on the `m` itself.\n //\n BN.red = function red (num) {\n return new Red(num);\n };\n\n BN.prototype.toRed = function toRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n assert(this.negative === 0, 'red works only with positives');\n return ctx.convertTo(this)._forceRed(ctx);\n };\n\n BN.prototype.fromRed = function fromRed () {\n assert(this.red, 'fromRed works only with numbers in reduction context');\n return this.red.convertFrom(this);\n };\n\n BN.prototype._forceRed = function _forceRed (ctx) {\n this.red = ctx;\n return this;\n };\n\n BN.prototype.forceRed = function forceRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n return this._forceRed(ctx);\n };\n\n BN.prototype.redAdd = function redAdd (num) {\n assert(this.red, 'redAdd works only with red numbers');\n return this.red.add(this, num);\n };\n\n BN.prototype.redIAdd = function redIAdd (num) {\n assert(this.red, 'redIAdd works only with red numbers');\n return this.red.iadd(this, num);\n };\n\n BN.prototype.redSub = function redSub (num) {\n assert(this.red, 'redSub works only with red numbers');\n return this.red.sub(this, num);\n };\n\n BN.prototype.redISub = function redISub (num) {\n assert(this.red, 'redISub works only with red numbers');\n return this.red.isub(this, num);\n };\n\n BN.prototype.redShl = function redShl (num) {\n assert(this.red, 'redShl works only with red numbers');\n return this.red.shl(this, num);\n };\n\n BN.prototype.redMul = function redMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.mul(this, num);\n };\n\n BN.prototype.redIMul = function redIMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.imul(this, num);\n };\n\n BN.prototype.redSqr = function redSqr () {\n assert(this.red, 'redSqr works only with red numbers');\n this.red._verify1(this);\n return this.red.sqr(this);\n };\n\n BN.prototype.redISqr = function redISqr () {\n assert(this.red, 'redISqr works only with red numbers');\n this.red._verify1(this);\n return this.red.isqr(this);\n };\n\n // Square root over p\n BN.prototype.redSqrt = function redSqrt () {\n assert(this.red, 'redSqrt works only with red numbers');\n this.red._verify1(this);\n return this.red.sqrt(this);\n };\n\n BN.prototype.redInvm = function redInvm () {\n assert(this.red, 'redInvm works only with red numbers');\n this.red._verify1(this);\n return this.red.invm(this);\n };\n\n // Return negative clone of `this` % `red modulo`\n BN.prototype.redNeg = function redNeg () {\n assert(this.red, 'redNeg works only with red numbers');\n this.red._verify1(this);\n return this.red.neg(this);\n };\n\n BN.prototype.redPow = function redPow (num) {\n assert(this.red && !num.red, 'redPow(normalNum)');\n this.red._verify1(this);\n return this.red.pow(this, num);\n };\n\n // Prime numbers with efficient reduction\n var primes = {\n k256: null,\n p224: null,\n p192: null,\n p25519: null\n };\n\n // Pseudo-Mersenne prime\n function MPrime (name, p) {\n // P = 2 ^ N - K\n this.name = name;\n this.p = new BN(p, 16);\n this.n = this.p.bitLength();\n this.k = new BN(1).iushln(this.n).isub(this.p);\n\n this.tmp = this._tmp();\n }\n\n MPrime.prototype._tmp = function _tmp () {\n var tmp = new BN(null);\n tmp.words = new Array(Math.ceil(this.n / 13));\n return tmp;\n };\n\n MPrime.prototype.ireduce = function ireduce (num) {\n // Assumes that `num` is less than `P^2`\n // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n var r = num;\n var rlen;\n\n do {\n this.split(r, this.tmp);\n r = this.imulK(r);\n r = r.iadd(this.tmp);\n rlen = r.bitLength();\n } while (rlen > this.n);\n\n var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n if (cmp === 0) {\n r.words[0] = 0;\n r.length = 1;\n } else if (cmp > 0) {\n r.isub(this.p);\n } else {\n if (r.strip !== undefined) {\n // r is BN v4 instance\n r.strip();\n } else {\n // r is BN v5 instance\n r._strip();\n }\n }\n\n return r;\n };\n\n MPrime.prototype.split = function split (input, out) {\n input.iushrn(this.n, 0, out);\n };\n\n MPrime.prototype.imulK = function imulK (num) {\n return num.imul(this.k);\n };\n\n function K256 () {\n MPrime.call(\n this,\n 'k256',\n 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n }\n inherits(K256, MPrime);\n\n K256.prototype.split = function split (input, output) {\n // 256 = 9 * 26 + 22\n var mask = 0x3fffff;\n\n var outLen = Math.min(input.length, 9);\n for (var i = 0; i < outLen; i++) {\n output.words[i] = input.words[i];\n }\n output.length = outLen;\n\n if (input.length <= 9) {\n input.words[0] = 0;\n input.length = 1;\n return;\n }\n\n // Shift by 9 limbs\n var prev = input.words[9];\n output.words[output.length++] = prev & mask;\n\n for (i = 10; i < input.length; i++) {\n var next = input.words[i] | 0;\n input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n prev = next;\n }\n prev >>>= 22;\n input.words[i - 10] = prev;\n if (prev === 0 && input.length > 10) {\n input.length -= 10;\n } else {\n input.length -= 9;\n }\n };\n\n K256.prototype.imulK = function imulK (num) {\n // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n num.words[num.length] = 0;\n num.words[num.length + 1] = 0;\n num.length += 2;\n\n // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n var lo = 0;\n for (var i = 0; i < num.length; i++) {\n var w = num.words[i] | 0;\n lo += w * 0x3d1;\n num.words[i] = lo & 0x3ffffff;\n lo = w * 0x40 + ((lo / 0x4000000) | 0);\n }\n\n // Fast length reduction\n if (num.words[num.length - 1] === 0) {\n num.length--;\n if (num.words[num.length - 1] === 0) {\n num.length--;\n }\n }\n return num;\n };\n\n function P224 () {\n MPrime.call(\n this,\n 'p224',\n 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n }\n inherits(P224, MPrime);\n\n function P192 () {\n MPrime.call(\n this,\n 'p192',\n 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n }\n inherits(P192, MPrime);\n\n function P25519 () {\n // 2 ^ 255 - 19\n MPrime.call(\n this,\n '25519',\n '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n }\n inherits(P25519, MPrime);\n\n P25519.prototype.imulK = function imulK (num) {\n // K = 0x13\n var carry = 0;\n for (var i = 0; i < num.length; i++) {\n var hi = (num.words[i] | 0) * 0x13 + carry;\n var lo = hi & 0x3ffffff;\n hi >>>= 26;\n\n num.words[i] = lo;\n carry = hi;\n }\n if (carry !== 0) {\n num.words[num.length++] = carry;\n }\n return num;\n };\n\n // Exported mostly for testing purposes, use plain name instead\n BN._prime = function prime (name) {\n // Cached version of prime\n if (primes[name]) return primes[name];\n\n var prime;\n if (name === 'k256') {\n prime = new K256();\n } else if (name === 'p224') {\n prime = new P224();\n } else if (name === 'p192') {\n prime = new P192();\n } else if (name === 'p25519') {\n prime = new P25519();\n } else {\n throw new Error('Unknown prime ' + name);\n }\n primes[name] = prime;\n\n return prime;\n };\n\n //\n // Base reduction engine\n //\n function Red (m) {\n if (typeof m === 'string') {\n var prime = BN._prime(m);\n this.m = prime.p;\n this.prime = prime;\n } else {\n assert(m.gtn(1), 'modulus must be greater than 1');\n this.m = m;\n this.prime = null;\n }\n }\n\n Red.prototype._verify1 = function _verify1 (a) {\n assert(a.negative === 0, 'red works only with positives');\n assert(a.red, 'red works only with red numbers');\n };\n\n Red.prototype._verify2 = function _verify2 (a, b) {\n assert((a.negative | b.negative) === 0, 'red works only with positives');\n assert(a.red && a.red === b.red,\n 'red works only with red numbers');\n };\n\n Red.prototype.imod = function imod (a) {\n if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n return a.umod(this.m)._forceRed(this);\n };\n\n Red.prototype.neg = function neg (a) {\n if (a.isZero()) {\n return a.clone();\n }\n\n return this.m.sub(a)._forceRed(this);\n };\n\n Red.prototype.add = function add (a, b) {\n this._verify2(a, b);\n\n var res = a.add(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.iadd = function iadd (a, b) {\n this._verify2(a, b);\n\n var res = a.iadd(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res;\n };\n\n Red.prototype.sub = function sub (a, b) {\n this._verify2(a, b);\n\n var res = a.sub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.isub = function isub (a, b) {\n this._verify2(a, b);\n\n var res = a.isub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res;\n };\n\n Red.prototype.shl = function shl (a, num) {\n this._verify1(a);\n return this.imod(a.ushln(num));\n };\n\n Red.prototype.imul = function imul (a, b) {\n this._verify2(a, b);\n return this.imod(a.imul(b));\n };\n\n Red.prototype.mul = function mul (a, b) {\n this._verify2(a, b);\n return this.imod(a.mul(b));\n };\n\n Red.prototype.isqr = function isqr (a) {\n return this.imul(a, a.clone());\n };\n\n Red.prototype.sqr = function sqr (a) {\n return this.mul(a, a);\n };\n\n Red.prototype.sqrt = function sqrt (a) {\n if (a.isZero()) return a.clone();\n\n var mod3 = this.m.andln(3);\n assert(mod3 % 2 === 1);\n\n // Fast case\n if (mod3 === 3) {\n var pow = this.m.add(new BN(1)).iushrn(2);\n return this.pow(a, pow);\n }\n\n // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n //\n // Find Q and S, that Q * 2 ^ S = (P - 1)\n var q = this.m.subn(1);\n var s = 0;\n while (!q.isZero() && q.andln(1) === 0) {\n s++;\n q.iushrn(1);\n }\n assert(!q.isZero());\n\n var one = new BN(1).toRed(this);\n var nOne = one.redNeg();\n\n // Find quadratic non-residue\n // NOTE: Max is such because of generalized Riemann hypothesis.\n var lpow = this.m.subn(1).iushrn(1);\n var z = this.m.bitLength();\n z = new BN(2 * z * z).toRed(this);\n\n while (this.pow(z, lpow).cmp(nOne) !== 0) {\n z.redIAdd(nOne);\n }\n\n var c = this.pow(z, q);\n var r = this.pow(a, q.addn(1).iushrn(1));\n var t = this.pow(a, q);\n var m = s;\n while (t.cmp(one) !== 0) {\n var tmp = t;\n for (var i = 0; tmp.cmp(one) !== 0; i++) {\n tmp = tmp.redSqr();\n }\n assert(i < m);\n var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n r = r.redMul(b);\n c = b.redSqr();\n t = t.redMul(c);\n m = i;\n }\n\n return r;\n };\n\n Red.prototype.invm = function invm (a) {\n var inv = a._invmp(this.m);\n if (inv.negative !== 0) {\n inv.negative = 0;\n return this.imod(inv).redNeg();\n } else {\n return this.imod(inv);\n }\n };\n\n Red.prototype.pow = function pow (a, num) {\n if (num.isZero()) return new BN(1).toRed(this);\n if (num.cmpn(1) === 0) return a.clone();\n\n var windowSize = 4;\n var wnd = new Array(1 << windowSize);\n wnd[0] = new BN(1).toRed(this);\n wnd[1] = a;\n for (var i = 2; i < wnd.length; i++) {\n wnd[i] = this.mul(wnd[i - 1], a);\n }\n\n var res = wnd[0];\n var current = 0;\n var currentLen = 0;\n var start = num.bitLength() % 26;\n if (start === 0) {\n start = 26;\n }\n\n for (i = num.length - 1; i >= 0; i--) {\n var word = num.words[i];\n for (var j = start - 1; j >= 0; j--) {\n var bit = (word >> j) & 1;\n if (res !== wnd[0]) {\n res = this.sqr(res);\n }\n\n if (bit === 0 && current === 0) {\n currentLen = 0;\n continue;\n }\n\n current <<= 1;\n current |= bit;\n currentLen++;\n if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n res = this.mul(res, wnd[current]);\n currentLen = 0;\n current = 0;\n }\n start = 26;\n }\n\n return res;\n };\n\n Red.prototype.convertTo = function convertTo (num) {\n var r = num.umod(this.m);\n\n return r === num ? r.clone() : r;\n };\n\n Red.prototype.convertFrom = function convertFrom (num) {\n var res = num.clone();\n res.red = null;\n return res;\n };\n\n //\n // Montgomery method engine\n //\n\n BN.mont = function mont (num) {\n return new Mont(num);\n };\n\n function Mont (m) {\n Red.call(this, m);\n\n this.shift = this.m.bitLength();\n if (this.shift % 26 !== 0) {\n this.shift += 26 - (this.shift % 26);\n }\n\n this.r = new BN(1).iushln(this.shift);\n this.r2 = this.imod(this.r.sqr());\n this.rinv = this.r._invmp(this.m);\n\n this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n this.minv = this.minv.umod(this.r);\n this.minv = this.r.sub(this.minv);\n }\n inherits(Mont, Red);\n\n Mont.prototype.convertTo = function convertTo (num) {\n return this.imod(num.ushln(this.shift));\n };\n\n Mont.prototype.convertFrom = function convertFrom (num) {\n var r = this.imod(num.mul(this.rinv));\n r.red = null;\n return r;\n };\n\n Mont.prototype.imul = function imul (a, b) {\n if (a.isZero() || b.isZero()) {\n a.words[0] = 0;\n a.length = 1;\n return a;\n }\n\n var t = a.imul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.mul = function mul (a, b) {\n if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n var t = a.mul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.invm = function invm (a) {\n // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n var res = this.imod(a._invmp(this.m).mul(this.r2));\n return res._forceRed(this);\n };\n})(typeof module === 'undefined' || module, this);\n","'use strict';\n\nfunction _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError(\"Cannot call a class as a function\"); } }\n\nvar Buffer = require('safe-buffer').Buffer;\nvar util = require('util');\n\nfunction copyBuffer(src, target, offset) {\n src.copy(target, offset);\n}\n\nmodule.exports = function () {\n function BufferList() {\n _classCallCheck(this, BufferList);\n\n this.head = null;\n this.tail = null;\n this.length = 0;\n }\n\n BufferList.prototype.push = function push(v) {\n var entry = { data: v, next: null };\n if (this.length > 0) this.tail.next = entry;else this.head = entry;\n this.tail = entry;\n ++this.length;\n };\n\n BufferList.prototype.unshift = function unshift(v) {\n var entry = { data: v, next: this.head };\n if (this.length === 0) this.tail = entry;\n this.head = entry;\n ++this.length;\n };\n\n BufferList.prototype.shift = function shift() {\n if (this.length === 0) return;\n var ret = this.head.data;\n if (this.length === 1) this.head = this.tail = null;else this.head = this.head.next;\n --this.length;\n return ret;\n };\n\n BufferList.prototype.clear = function clear() {\n this.head = this.tail = null;\n this.length = 0;\n };\n\n BufferList.prototype.join = function join(s) {\n if (this.length === 0) return '';\n var p = this.head;\n var ret = '' + p.data;\n while (p = p.next) {\n ret += s + p.data;\n }return ret;\n };\n\n BufferList.prototype.concat = function concat(n) {\n if (this.length === 0) return Buffer.alloc(0);\n var ret = Buffer.allocUnsafe(n >>> 0);\n var p = this.head;\n var i = 0;\n while (p) {\n copyBuffer(p.data, ret, i);\n i += p.data.length;\n p = p.next;\n }\n return ret;\n };\n\n return BufferList;\n}();\n\nif (util && util.inspect && util.inspect.custom) {\n module.exports.prototype[util.inspect.custom] = function () {\n var obj = util.inspect({ length: this.length });\n return this.constructor.name + ' ' + obj;\n };\n}","/* eslint-disable node/no-deprecated-api */\nvar buffer = require('buffer')\nvar Buffer = buffer.Buffer\n\n// alternative to using Object.keys for old browsers\nfunction copyProps (src, dst) {\n for (var key in src) {\n dst[key] = src[key]\n }\n}\nif (Buffer.from && Buffer.alloc && Buffer.allocUnsafe && Buffer.allocUnsafeSlow) {\n module.exports = buffer\n} else {\n // Copy properties from require('buffer')\n copyProps(buffer, exports)\n exports.Buffer = SafeBuffer\n}\n\nfunction SafeBuffer (arg, encodingOrOffset, length) {\n return Buffer(arg, encodingOrOffset, length)\n}\n\n// Copy static methods from Buffer\ncopyProps(Buffer, SafeBuffer)\n\nSafeBuffer.from = function (arg, encodingOrOffset, length) {\n if (typeof arg === 'number') {\n throw new TypeError('Argument must not be a number')\n }\n return Buffer(arg, encodingOrOffset, length)\n}\n\nSafeBuffer.alloc = function (size, fill, encoding) {\n if (typeof size !== 'number') {\n throw new TypeError('Argument must be a number')\n }\n var buf = Buffer(size)\n if (fill !== undefined) {\n if (typeof encoding === 'string') {\n buf.fill(fill, encoding)\n } else {\n buf.fill(fill)\n }\n } else {\n buf.fill(0)\n }\n return buf\n}\n\nSafeBuffer.allocUnsafe = function (size) {\n if (typeof size !== 'number') {\n throw new TypeError('Argument must be a number')\n }\n return Buffer(size)\n}\n\nSafeBuffer.allocUnsafeSlow = function (size) {\n if (typeof size !== 'number') {\n throw new TypeError('Argument must be a number')\n }\n return buffer.SlowBuffer(size)\n}\n","'use strict';\n\nvar elliptic = exports;\n\nelliptic.version = require('../package.json').version;\nelliptic.utils = require('./elliptic/utils');\nelliptic.rand = require('brorand');\nelliptic.curve = require('./elliptic/curve');\nelliptic.curves = require('./elliptic/curves');\n\n// Protocols\nelliptic.ec = require('./elliptic/ec');\nelliptic.eddsa = require('./elliptic/eddsa');\n","(function (module, exports) {\n 'use strict';\n\n // Utils\n function assert (val, msg) {\n if (!val) throw new Error(msg || 'Assertion failed');\n }\n\n // Could use `inherits` module, but don't want to move from single file\n // architecture yet.\n function inherits (ctor, superCtor) {\n ctor.super_ = superCtor;\n var TempCtor = function () {};\n TempCtor.prototype = superCtor.prototype;\n ctor.prototype = new TempCtor();\n ctor.prototype.constructor = ctor;\n }\n\n // BN\n\n function BN (number, base, endian) {\n if (BN.isBN(number)) {\n return number;\n }\n\n this.negative = 0;\n this.words = null;\n this.length = 0;\n\n // Reduction context\n this.red = null;\n\n if (number !== null) {\n if (base === 'le' || base === 'be') {\n endian = base;\n base = 10;\n }\n\n this._init(number || 0, base || 10, endian || 'be');\n }\n }\n if (typeof module === 'object') {\n module.exports = BN;\n } else {\n exports.BN = BN;\n }\n\n BN.BN = BN;\n BN.wordSize = 26;\n\n var Buffer;\n try {\n if (typeof window !== 'undefined' && typeof window.Buffer !== 'undefined') {\n Buffer = window.Buffer;\n } else {\n Buffer = require('buffer').Buffer;\n }\n } catch (e) {\n }\n\n BN.isBN = function isBN (num) {\n if (num instanceof BN) {\n return true;\n }\n\n return num !== null && typeof num === 'object' &&\n num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);\n };\n\n BN.max = function max (left, right) {\n if (left.cmp(right) > 0) return left;\n return right;\n };\n\n BN.min = function min (left, right) {\n if (left.cmp(right) < 0) return left;\n return right;\n };\n\n BN.prototype._init = function init (number, base, endian) {\n if (typeof number === 'number') {\n return this._initNumber(number, base, endian);\n }\n\n if (typeof number === 'object') {\n return this._initArray(number, base, endian);\n }\n\n if (base === 'hex') {\n base = 16;\n }\n assert(base === (base | 0) && base >= 2 && base <= 36);\n\n number = number.toString().replace(/\\s+/g, '');\n var start = 0;\n if (number[0] === '-') {\n start++;\n this.negative = 1;\n }\n\n if (start < number.length) {\n if (base === 16) {\n this._parseHex(number, start, endian);\n } else {\n this._parseBase(number, base, start);\n if (endian === 'le') {\n this._initArray(this.toArray(), base, endian);\n }\n }\n }\n };\n\n BN.prototype._initNumber = function _initNumber (number, base, endian) {\n if (number < 0) {\n this.negative = 1;\n number = -number;\n }\n if (number < 0x4000000) {\n this.words = [number & 0x3ffffff];\n this.length = 1;\n } else if (number < 0x10000000000000) {\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff\n ];\n this.length = 2;\n } else {\n assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff,\n 1\n ];\n this.length = 3;\n }\n\n if (endian !== 'le') return;\n\n // Reverse the bytes\n this._initArray(this.toArray(), base, endian);\n };\n\n BN.prototype._initArray = function _initArray (number, base, endian) {\n // Perhaps a Uint8Array\n assert(typeof number.length === 'number');\n if (number.length <= 0) {\n this.words = [0];\n this.length = 1;\n return this;\n }\n\n this.length = Math.ceil(number.length / 3);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n var j, w;\n var off = 0;\n if (endian === 'be') {\n for (i = number.length - 1, j = 0; i >= 0; i -= 3) {\n w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n } else if (endian === 'le') {\n for (i = 0, j = 0; i < number.length; i += 3) {\n w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n }\n return this._strip();\n };\n\n function parseHex4Bits (string, index) {\n var c = string.charCodeAt(index);\n // '0' - '9'\n if (c >= 48 && c <= 57) {\n return c - 48;\n // 'A' - 'F'\n } else if (c >= 65 && c <= 70) {\n return c - 55;\n // 'a' - 'f'\n } else if (c >= 97 && c <= 102) {\n return c - 87;\n } else {\n assert(false, 'Invalid character in ' + string);\n }\n }\n\n function parseHexByte (string, lowerBound, index) {\n var r = parseHex4Bits(string, index);\n if (index - 1 >= lowerBound) {\n r |= parseHex4Bits(string, index - 1) << 4;\n }\n return r;\n }\n\n BN.prototype._parseHex = function _parseHex (number, start, endian) {\n // Create possibly bigger array to ensure that it fits the number\n this.length = Math.ceil((number.length - start) / 6);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n // 24-bits chunks\n var off = 0;\n var j = 0;\n\n var w;\n if (endian === 'be') {\n for (i = number.length - 1; i >= start; i -= 2) {\n w = parseHexByte(number, start, i) << off;\n this.words[j] |= w & 0x3ffffff;\n if (off >= 18) {\n off -= 18;\n j += 1;\n this.words[j] |= w >>> 26;\n } else {\n off += 8;\n }\n }\n } else {\n var parseLength = number.length - start;\n for (i = parseLength % 2 === 0 ? start + 1 : start; i < number.length; i += 2) {\n w = parseHexByte(number, start, i) << off;\n this.words[j] |= w & 0x3ffffff;\n if (off >= 18) {\n off -= 18;\n j += 1;\n this.words[j] |= w >>> 26;\n } else {\n off += 8;\n }\n }\n }\n\n this._strip();\n };\n\n function parseBase (str, start, end, mul) {\n var r = 0;\n var b = 0;\n var len = Math.min(str.length, end);\n for (var i = start; i < len; i++) {\n var c = str.charCodeAt(i) - 48;\n\n r *= mul;\n\n // 'a'\n if (c >= 49) {\n b = c - 49 + 0xa;\n\n // 'A'\n } else if (c >= 17) {\n b = c - 17 + 0xa;\n\n // '0' - '9'\n } else {\n b = c;\n }\n assert(c >= 0 && b < mul, 'Invalid character');\n r += b;\n }\n return r;\n }\n\n BN.prototype._parseBase = function _parseBase (number, base, start) {\n // Initialize as zero\n this.words = [0];\n this.length = 1;\n\n // Find length of limb in base\n for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {\n limbLen++;\n }\n limbLen--;\n limbPow = (limbPow / base) | 0;\n\n var total = number.length - start;\n var mod = total % limbLen;\n var end = Math.min(total, total - mod) + start;\n\n var word = 0;\n for (var i = start; i < end; i += limbLen) {\n word = parseBase(number, i, i + limbLen, base);\n\n this.imuln(limbPow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n\n if (mod !== 0) {\n var pow = 1;\n word = parseBase(number, i, number.length, base);\n\n for (i = 0; i < mod; i++) {\n pow *= base;\n }\n\n this.imuln(pow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n\n this._strip();\n };\n\n BN.prototype.copy = function copy (dest) {\n dest.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n dest.words[i] = this.words[i];\n }\n dest.length = this.length;\n dest.negative = this.negative;\n dest.red = this.red;\n };\n\n function move (dest, src) {\n dest.words = src.words;\n dest.length = src.length;\n dest.negative = src.negative;\n dest.red = src.red;\n }\n\n BN.prototype._move = function _move (dest) {\n move(dest, this);\n };\n\n BN.prototype.clone = function clone () {\n var r = new BN(null);\n this.copy(r);\n return r;\n };\n\n BN.prototype._expand = function _expand (size) {\n while (this.length < size) {\n this.words[this.length++] = 0;\n }\n return this;\n };\n\n // Remove leading `0` from `this`\n BN.prototype._strip = function strip () {\n while (this.length > 1 && this.words[this.length - 1] === 0) {\n this.length--;\n }\n return this._normSign();\n };\n\n BN.prototype._normSign = function _normSign () {\n // -0 = 0\n if (this.length === 1 && this.words[0] === 0) {\n this.negative = 0;\n }\n return this;\n };\n\n // Check Symbol.for because not everywhere where Symbol defined\n // See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Symbol#Browser_compatibility\n if (typeof Symbol !== 'undefined' && typeof Symbol.for === 'function') {\n try {\n BN.prototype[Symbol.for('nodejs.util.inspect.custom')] = inspect;\n } catch (e) {\n BN.prototype.inspect = inspect;\n }\n } else {\n BN.prototype.inspect = inspect;\n }\n\n function inspect () {\n return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';\n }\n\n /*\n\n var zeros = [];\n var groupSizes = [];\n var groupBases = [];\n\n var s = '';\n var i = -1;\n while (++i < BN.wordSize) {\n zeros[i] = s;\n s += '0';\n }\n groupSizes[0] = 0;\n groupSizes[1] = 0;\n groupBases[0] = 0;\n groupBases[1] = 0;\n var base = 2 - 1;\n while (++base < 36 + 1) {\n var groupSize = 0;\n var groupBase = 1;\n while (groupBase < (1 << BN.wordSize) / base) {\n groupBase *= base;\n groupSize += 1;\n }\n groupSizes[base] = groupSize;\n groupBases[base] = groupBase;\n }\n\n */\n\n var zeros = [\n '',\n '0',\n '00',\n '000',\n '0000',\n '00000',\n '000000',\n '0000000',\n '00000000',\n '000000000',\n '0000000000',\n '00000000000',\n '000000000000',\n '0000000000000',\n '00000000000000',\n '000000000000000',\n '0000000000000000',\n '00000000000000000',\n '000000000000000000',\n '0000000000000000000',\n '00000000000000000000',\n '000000000000000000000',\n '0000000000000000000000',\n '00000000000000000000000',\n '000000000000000000000000',\n '0000000000000000000000000'\n ];\n\n var groupSizes = [\n 0, 0,\n 25, 16, 12, 11, 10, 9, 8,\n 8, 7, 7, 7, 7, 6, 6,\n 6, 6, 6, 6, 6, 5, 5,\n 5, 5, 5, 5, 5, 5, 5,\n 5, 5, 5, 5, 5, 5, 5\n ];\n\n var groupBases = [\n 0, 0,\n 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n ];\n\n BN.prototype.toString = function toString (base, padding) {\n base = base || 10;\n padding = padding | 0 || 1;\n\n var out;\n if (base === 16 || base === 'hex') {\n out = '';\n var off = 0;\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = this.words[i];\n var word = (((w << off) | carry) & 0xffffff).toString(16);\n carry = (w >>> (24 - off)) & 0xffffff;\n off += 2;\n if (off >= 26) {\n off -= 26;\n i--;\n }\n if (carry !== 0 || i !== this.length - 1) {\n out = zeros[6 - word.length] + word + out;\n } else {\n out = word + out;\n }\n }\n if (carry !== 0) {\n out = carry.toString(16) + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n if (base === (base | 0) && base >= 2 && base <= 36) {\n // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n var groupSize = groupSizes[base];\n // var groupBase = Math.pow(base, groupSize);\n var groupBase = groupBases[base];\n out = '';\n var c = this.clone();\n c.negative = 0;\n while (!c.isZero()) {\n var r = c.modrn(groupBase).toString(base);\n c = c.idivn(groupBase);\n\n if (!c.isZero()) {\n out = zeros[groupSize - r.length] + r + out;\n } else {\n out = r + out;\n }\n }\n if (this.isZero()) {\n out = '0' + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n assert(false, 'Base should be between 2 and 36');\n };\n\n BN.prototype.toNumber = function toNumber () {\n var ret = this.words[0];\n if (this.length === 2) {\n ret += this.words[1] * 0x4000000;\n } else if (this.length === 3 && this.words[2] === 0x01) {\n // NOTE: at this stage it is known that the top bit is set\n ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n } else if (this.length > 2) {\n assert(false, 'Number can only safely store up to 53 bits');\n }\n return (this.negative !== 0) ? -ret : ret;\n };\n\n BN.prototype.toJSON = function toJSON () {\n return this.toString(16, 2);\n };\n\n if (Buffer) {\n BN.prototype.toBuffer = function toBuffer (endian, length) {\n return this.toArrayLike(Buffer, endian, length);\n };\n }\n\n BN.prototype.toArray = function toArray (endian, length) {\n return this.toArrayLike(Array, endian, length);\n };\n\n var allocate = function allocate (ArrayType, size) {\n if (ArrayType.allocUnsafe) {\n return ArrayType.allocUnsafe(size);\n }\n return new ArrayType(size);\n };\n\n BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n this._strip();\n\n var byteLength = this.byteLength();\n var reqLength = length || Math.max(1, byteLength);\n assert(byteLength <= reqLength, 'byte array longer than desired length');\n assert(reqLength > 0, 'Requested array length <= 0');\n\n var res = allocate(ArrayType, reqLength);\n var postfix = endian === 'le' ? 'LE' : 'BE';\n this['_toArrayLike' + postfix](res, byteLength);\n return res;\n };\n\n BN.prototype._toArrayLikeLE = function _toArrayLikeLE (res, byteLength) {\n var position = 0;\n var carry = 0;\n\n for (var i = 0, shift = 0; i < this.length; i++) {\n var word = (this.words[i] << shift) | carry;\n\n res[position++] = word & 0xff;\n if (position < res.length) {\n res[position++] = (word >> 8) & 0xff;\n }\n if (position < res.length) {\n res[position++] = (word >> 16) & 0xff;\n }\n\n if (shift === 6) {\n if (position < res.length) {\n res[position++] = (word >> 24) & 0xff;\n }\n carry = 0;\n shift = 0;\n } else {\n carry = word >>> 24;\n shift += 2;\n }\n }\n\n if (position < res.length) {\n res[position++] = carry;\n\n while (position < res.length) {\n res[position++] = 0;\n }\n }\n };\n\n BN.prototype._toArrayLikeBE = function _toArrayLikeBE (res, byteLength) {\n var position = res.length - 1;\n var carry = 0;\n\n for (var i = 0, shift = 0; i < this.length; i++) {\n var word = (this.words[i] << shift) | carry;\n\n res[position--] = word & 0xff;\n if (position >= 0) {\n res[position--] = (word >> 8) & 0xff;\n }\n if (position >= 0) {\n res[position--] = (word >> 16) & 0xff;\n }\n\n if (shift === 6) {\n if (position >= 0) {\n res[position--] = (word >> 24) & 0xff;\n }\n carry = 0;\n shift = 0;\n } else {\n carry = word >>> 24;\n shift += 2;\n }\n }\n\n if (position >= 0) {\n res[position--] = carry;\n\n while (position >= 0) {\n res[position--] = 0;\n }\n }\n };\n\n if (Math.clz32) {\n BN.prototype._countBits = function _countBits (w) {\n return 32 - Math.clz32(w);\n };\n } else {\n BN.prototype._countBits = function _countBits (w) {\n var t = w;\n var r = 0;\n if (t >= 0x1000) {\n r += 13;\n t >>>= 13;\n }\n if (t >= 0x40) {\n r += 7;\n t >>>= 7;\n }\n if (t >= 0x8) {\n r += 4;\n t >>>= 4;\n }\n if (t >= 0x02) {\n r += 2;\n t >>>= 2;\n }\n return r + t;\n };\n }\n\n BN.prototype._zeroBits = function _zeroBits (w) {\n // Short-cut\n if (w === 0) return 26;\n\n var t = w;\n var r = 0;\n if ((t & 0x1fff) === 0) {\n r += 13;\n t >>>= 13;\n }\n if ((t & 0x7f) === 0) {\n r += 7;\n t >>>= 7;\n }\n if ((t & 0xf) === 0) {\n r += 4;\n t >>>= 4;\n }\n if ((t & 0x3) === 0) {\n r += 2;\n t >>>= 2;\n }\n if ((t & 0x1) === 0) {\n r++;\n }\n return r;\n };\n\n // Return number of used bits in a BN\n BN.prototype.bitLength = function bitLength () {\n var w = this.words[this.length - 1];\n var hi = this._countBits(w);\n return (this.length - 1) * 26 + hi;\n };\n\n function toBitArray (num) {\n var w = new Array(num.bitLength());\n\n for (var bit = 0; bit < w.length; bit++) {\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n w[bit] = (num.words[off] >>> wbit) & 0x01;\n }\n\n return w;\n }\n\n // Number of trailing zero bits\n BN.prototype.zeroBits = function zeroBits () {\n if (this.isZero()) return 0;\n\n var r = 0;\n for (var i = 0; i < this.length; i++) {\n var b = this._zeroBits(this.words[i]);\n r += b;\n if (b !== 26) break;\n }\n return r;\n };\n\n BN.prototype.byteLength = function byteLength () {\n return Math.ceil(this.bitLength() / 8);\n };\n\n BN.prototype.toTwos = function toTwos (width) {\n if (this.negative !== 0) {\n return this.abs().inotn(width).iaddn(1);\n }\n return this.clone();\n };\n\n BN.prototype.fromTwos = function fromTwos (width) {\n if (this.testn(width - 1)) {\n return this.notn(width).iaddn(1).ineg();\n }\n return this.clone();\n };\n\n BN.prototype.isNeg = function isNeg () {\n return this.negative !== 0;\n };\n\n // Return negative clone of `this`\n BN.prototype.neg = function neg () {\n return this.clone().ineg();\n };\n\n BN.prototype.ineg = function ineg () {\n if (!this.isZero()) {\n this.negative ^= 1;\n }\n\n return this;\n };\n\n // Or `num` with `this` in-place\n BN.prototype.iuor = function iuor (num) {\n while (this.length < num.length) {\n this.words[this.length++] = 0;\n }\n\n for (var i = 0; i < num.length; i++) {\n this.words[i] = this.words[i] | num.words[i];\n }\n\n return this._strip();\n };\n\n BN.prototype.ior = function ior (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuor(num);\n };\n\n // Or `num` with `this`\n BN.prototype.or = function or (num) {\n if (this.length > num.length) return this.clone().ior(num);\n return num.clone().ior(this);\n };\n\n BN.prototype.uor = function uor (num) {\n if (this.length > num.length) return this.clone().iuor(num);\n return num.clone().iuor(this);\n };\n\n // And `num` with `this` in-place\n BN.prototype.iuand = function iuand (num) {\n // b = min-length(num, this)\n var b;\n if (this.length > num.length) {\n b = num;\n } else {\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = this.words[i] & num.words[i];\n }\n\n this.length = b.length;\n\n return this._strip();\n };\n\n BN.prototype.iand = function iand (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuand(num);\n };\n\n // And `num` with `this`\n BN.prototype.and = function and (num) {\n if (this.length > num.length) return this.clone().iand(num);\n return num.clone().iand(this);\n };\n\n BN.prototype.uand = function uand (num) {\n if (this.length > num.length) return this.clone().iuand(num);\n return num.clone().iuand(this);\n };\n\n // Xor `num` with `this` in-place\n BN.prototype.iuxor = function iuxor (num) {\n // a.length > b.length\n var a;\n var b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = a.words[i] ^ b.words[i];\n }\n\n if (this !== a) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = a.length;\n\n return this._strip();\n };\n\n BN.prototype.ixor = function ixor (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuxor(num);\n };\n\n // Xor `num` with `this`\n BN.prototype.xor = function xor (num) {\n if (this.length > num.length) return this.clone().ixor(num);\n return num.clone().ixor(this);\n };\n\n BN.prototype.uxor = function uxor (num) {\n if (this.length > num.length) return this.clone().iuxor(num);\n return num.clone().iuxor(this);\n };\n\n // Not ``this`` with ``width`` bitwidth\n BN.prototype.inotn = function inotn (width) {\n assert(typeof width === 'number' && width >= 0);\n\n var bytesNeeded = Math.ceil(width / 26) | 0;\n var bitsLeft = width % 26;\n\n // Extend the buffer with leading zeroes\n this._expand(bytesNeeded);\n\n if (bitsLeft > 0) {\n bytesNeeded--;\n }\n\n // Handle complete words\n for (var i = 0; i < bytesNeeded; i++) {\n this.words[i] = ~this.words[i] & 0x3ffffff;\n }\n\n // Handle the residue\n if (bitsLeft > 0) {\n this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n }\n\n // And remove leading zeroes\n return this._strip();\n };\n\n BN.prototype.notn = function notn (width) {\n return this.clone().inotn(width);\n };\n\n // Set `bit` of `this`\n BN.prototype.setn = function setn (bit, val) {\n assert(typeof bit === 'number' && bit >= 0);\n\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n this._expand(off + 1);\n\n if (val) {\n this.words[off] = this.words[off] | (1 << wbit);\n } else {\n this.words[off] = this.words[off] & ~(1 << wbit);\n }\n\n return this._strip();\n };\n\n // Add `num` to `this` in-place\n BN.prototype.iadd = function iadd (num) {\n var r;\n\n // negative + positive\n if (this.negative !== 0 && num.negative === 0) {\n this.negative = 0;\n r = this.isub(num);\n this.negative ^= 1;\n return this._normSign();\n\n // positive + negative\n } else if (this.negative === 0 && num.negative !== 0) {\n num.negative = 0;\n r = this.isub(num);\n num.negative = 1;\n return r._normSign();\n }\n\n // a.length > b.length\n var a, b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n\n this.length = a.length;\n if (carry !== 0) {\n this.words[this.length] = carry;\n this.length++;\n // Copy the rest of the words\n } else if (a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n return this;\n };\n\n // Add `num` to `this`\n BN.prototype.add = function add (num) {\n var res;\n if (num.negative !== 0 && this.negative === 0) {\n num.negative = 0;\n res = this.sub(num);\n num.negative ^= 1;\n return res;\n } else if (num.negative === 0 && this.negative !== 0) {\n this.negative = 0;\n res = num.sub(this);\n this.negative = 1;\n return res;\n }\n\n if (this.length > num.length) return this.clone().iadd(num);\n\n return num.clone().iadd(this);\n };\n\n // Subtract `num` from `this` in-place\n BN.prototype.isub = function isub (num) {\n // this - (-num) = this + num\n if (num.negative !== 0) {\n num.negative = 0;\n var r = this.iadd(num);\n num.negative = 1;\n return r._normSign();\n\n // -this - num = -(this + num)\n } else if (this.negative !== 0) {\n this.negative = 0;\n this.iadd(num);\n this.negative = 1;\n return this._normSign();\n }\n\n // At this point both numbers are positive\n var cmp = this.cmp(num);\n\n // Optimization - zeroify\n if (cmp === 0) {\n this.negative = 0;\n this.length = 1;\n this.words[0] = 0;\n return this;\n }\n\n // a > b\n var a, b;\n if (cmp > 0) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n\n // Copy rest of the words\n if (carry === 0 && i < a.length && a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = Math.max(this.length, i);\n\n if (a !== this) {\n this.negative = 1;\n }\n\n return this._strip();\n };\n\n // Subtract `num` from `this`\n BN.prototype.sub = function sub (num) {\n return this.clone().isub(num);\n };\n\n function smallMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n var len = (self.length + num.length) | 0;\n out.length = len;\n len = (len - 1) | 0;\n\n // Peel one iteration (compiler can't do it, because of code complexity)\n var a = self.words[0] | 0;\n var b = num.words[0] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n var carry = (r / 0x4000000) | 0;\n out.words[0] = lo;\n\n for (var k = 1; k < len; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = carry >>> 26;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = (k - j) | 0;\n a = self.words[i] | 0;\n b = num.words[j] | 0;\n r = a * b + rword;\n ncarry += (r / 0x4000000) | 0;\n rword = r & 0x3ffffff;\n }\n out.words[k] = rword | 0;\n carry = ncarry | 0;\n }\n if (carry !== 0) {\n out.words[k] = carry | 0;\n } else {\n out.length--;\n }\n\n return out._strip();\n }\n\n // TODO(indutny): it may be reasonable to omit it for users who don't need\n // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n // multiplication (like elliptic secp256k1).\n var comb10MulTo = function comb10MulTo (self, num, out) {\n var a = self.words;\n var b = num.words;\n var o = out.words;\n var c = 0;\n var lo;\n var mid;\n var hi;\n var a0 = a[0] | 0;\n var al0 = a0 & 0x1fff;\n var ah0 = a0 >>> 13;\n var a1 = a[1] | 0;\n var al1 = a1 & 0x1fff;\n var ah1 = a1 >>> 13;\n var a2 = a[2] | 0;\n var al2 = a2 & 0x1fff;\n var ah2 = a2 >>> 13;\n var a3 = a[3] | 0;\n var al3 = a3 & 0x1fff;\n var ah3 = a3 >>> 13;\n var a4 = a[4] | 0;\n var al4 = a4 & 0x1fff;\n var ah4 = a4 >>> 13;\n var a5 = a[5] | 0;\n var al5 = a5 & 0x1fff;\n var ah5 = a5 >>> 13;\n var a6 = a[6] | 0;\n var al6 = a6 & 0x1fff;\n var ah6 = a6 >>> 13;\n var a7 = a[7] | 0;\n var al7 = a7 & 0x1fff;\n var ah7 = a7 >>> 13;\n var a8 = a[8] | 0;\n var al8 = a8 & 0x1fff;\n var ah8 = a8 >>> 13;\n var a9 = a[9] | 0;\n var al9 = a9 & 0x1fff;\n var ah9 = a9 >>> 13;\n var b0 = b[0] | 0;\n var bl0 = b0 & 0x1fff;\n var bh0 = b0 >>> 13;\n var b1 = b[1] | 0;\n var bl1 = b1 & 0x1fff;\n var bh1 = b1 >>> 13;\n var b2 = b[2] | 0;\n var bl2 = b2 & 0x1fff;\n var bh2 = b2 >>> 13;\n var b3 = b[3] | 0;\n var bl3 = b3 & 0x1fff;\n var bh3 = b3 >>> 13;\n var b4 = b[4] | 0;\n var bl4 = b4 & 0x1fff;\n var bh4 = b4 >>> 13;\n var b5 = b[5] | 0;\n var bl5 = b5 & 0x1fff;\n var bh5 = b5 >>> 13;\n var b6 = b[6] | 0;\n var bl6 = b6 & 0x1fff;\n var bh6 = b6 >>> 13;\n var b7 = b[7] | 0;\n var bl7 = b7 & 0x1fff;\n var bh7 = b7 >>> 13;\n var b8 = b[8] | 0;\n var bl8 = b8 & 0x1fff;\n var bh8 = b8 >>> 13;\n var b9 = b[9] | 0;\n var bl9 = b9 & 0x1fff;\n var bh9 = b9 >>> 13;\n\n out.negative = self.negative ^ num.negative;\n out.length = 19;\n /* k = 0 */\n lo = Math.imul(al0, bl0);\n mid = Math.imul(al0, bh0);\n mid = (mid + Math.imul(ah0, bl0)) | 0;\n hi = Math.imul(ah0, bh0);\n var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n w0 &= 0x3ffffff;\n /* k = 1 */\n lo = Math.imul(al1, bl0);\n mid = Math.imul(al1, bh0);\n mid = (mid + Math.imul(ah1, bl0)) | 0;\n hi = Math.imul(ah1, bh0);\n lo = (lo + Math.imul(al0, bl1)) | 0;\n mid = (mid + Math.imul(al0, bh1)) | 0;\n mid = (mid + Math.imul(ah0, bl1)) | 0;\n hi = (hi + Math.imul(ah0, bh1)) | 0;\n var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n w1 &= 0x3ffffff;\n /* k = 2 */\n lo = Math.imul(al2, bl0);\n mid = Math.imul(al2, bh0);\n mid = (mid + Math.imul(ah2, bl0)) | 0;\n hi = Math.imul(ah2, bh0);\n lo = (lo + Math.imul(al1, bl1)) | 0;\n mid = (mid + Math.imul(al1, bh1)) | 0;\n mid = (mid + Math.imul(ah1, bl1)) | 0;\n hi = (hi + Math.imul(ah1, bh1)) | 0;\n lo = (lo + Math.imul(al0, bl2)) | 0;\n mid = (mid + Math.imul(al0, bh2)) | 0;\n mid = (mid + Math.imul(ah0, bl2)) | 0;\n hi = (hi + Math.imul(ah0, bh2)) | 0;\n var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n w2 &= 0x3ffffff;\n /* k = 3 */\n lo = Math.imul(al3, bl0);\n mid = Math.imul(al3, bh0);\n mid = (mid + Math.imul(ah3, bl0)) | 0;\n hi = Math.imul(ah3, bh0);\n lo = (lo + Math.imul(al2, bl1)) | 0;\n mid = (mid + Math.imul(al2, bh1)) | 0;\n mid = (mid + Math.imul(ah2, bl1)) | 0;\n hi = (hi + Math.imul(ah2, bh1)) | 0;\n lo = (lo + Math.imul(al1, bl2)) | 0;\n mid = (mid + Math.imul(al1, bh2)) | 0;\n mid = (mid + Math.imul(ah1, bl2)) | 0;\n hi = (hi + Math.imul(ah1, bh2)) | 0;\n lo = (lo + Math.imul(al0, bl3)) | 0;\n mid = (mid + Math.imul(al0, bh3)) | 0;\n mid = (mid + Math.imul(ah0, bl3)) | 0;\n hi = (hi + Math.imul(ah0, bh3)) | 0;\n var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n w3 &= 0x3ffffff;\n /* k = 4 */\n lo = Math.imul(al4, bl0);\n mid = Math.imul(al4, bh0);\n mid = (mid + Math.imul(ah4, bl0)) | 0;\n hi = Math.imul(ah4, bh0);\n lo = (lo + Math.imul(al3, bl1)) | 0;\n mid = (mid + Math.imul(al3, bh1)) | 0;\n mid = (mid + Math.imul(ah3, bl1)) | 0;\n hi = (hi + Math.imul(ah3, bh1)) | 0;\n lo = (lo + Math.imul(al2, bl2)) | 0;\n mid = (mid + Math.imul(al2, bh2)) | 0;\n mid = (mid + Math.imul(ah2, bl2)) | 0;\n hi = (hi + Math.imul(ah2, bh2)) | 0;\n lo = (lo + Math.imul(al1, bl3)) | 0;\n mid = (mid + Math.imul(al1, bh3)) | 0;\n mid = (mid + Math.imul(ah1, bl3)) | 0;\n hi = (hi + Math.imul(ah1, bh3)) | 0;\n lo = (lo + Math.imul(al0, bl4)) | 0;\n mid = (mid + Math.imul(al0, bh4)) | 0;\n mid = (mid + Math.imul(ah0, bl4)) | 0;\n hi = (hi + Math.imul(ah0, bh4)) | 0;\n var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n w4 &= 0x3ffffff;\n /* k = 5 */\n lo = Math.imul(al5, bl0);\n mid = Math.imul(al5, bh0);\n mid = (mid + Math.imul(ah5, bl0)) | 0;\n hi = Math.imul(ah5, bh0);\n lo = (lo + Math.imul(al4, bl1)) | 0;\n mid = (mid + Math.imul(al4, bh1)) | 0;\n mid = (mid + Math.imul(ah4, bl1)) | 0;\n hi = (hi + Math.imul(ah4, bh1)) | 0;\n lo = (lo + Math.imul(al3, bl2)) | 0;\n mid = (mid + Math.imul(al3, bh2)) | 0;\n mid = (mid + Math.imul(ah3, bl2)) | 0;\n hi = (hi + Math.imul(ah3, bh2)) | 0;\n lo = (lo + Math.imul(al2, bl3)) | 0;\n mid = (mid + Math.imul(al2, bh3)) | 0;\n mid = (mid + Math.imul(ah2, bl3)) | 0;\n hi = (hi + Math.imul(ah2, bh3)) | 0;\n lo = (lo + Math.imul(al1, bl4)) | 0;\n mid = (mid + Math.imul(al1, bh4)) | 0;\n mid = (mid + Math.imul(ah1, bl4)) | 0;\n hi = (hi + Math.imul(ah1, bh4)) | 0;\n lo = (lo + Math.imul(al0, bl5)) | 0;\n mid = (mid + Math.imul(al0, bh5)) | 0;\n mid = (mid + Math.imul(ah0, bl5)) | 0;\n hi = (hi + Math.imul(ah0, bh5)) | 0;\n var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n w5 &= 0x3ffffff;\n /* k = 6 */\n lo = Math.imul(al6, bl0);\n mid = Math.imul(al6, bh0);\n mid = (mid + Math.imul(ah6, bl0)) | 0;\n hi = Math.imul(ah6, bh0);\n lo = (lo + Math.imul(al5, bl1)) | 0;\n mid = (mid + Math.imul(al5, bh1)) | 0;\n mid = (mid + Math.imul(ah5, bl1)) | 0;\n hi = (hi + Math.imul(ah5, bh1)) | 0;\n lo = (lo + Math.imul(al4, bl2)) | 0;\n mid = (mid + Math.imul(al4, bh2)) | 0;\n mid = (mid + Math.imul(ah4, bl2)) | 0;\n hi = (hi + Math.imul(ah4, bh2)) | 0;\n lo = (lo + Math.imul(al3, bl3)) | 0;\n mid = (mid + Math.imul(al3, bh3)) | 0;\n mid = (mid + Math.imul(ah3, bl3)) | 0;\n hi = (hi + Math.imul(ah3, bh3)) | 0;\n lo = (lo + Math.imul(al2, bl4)) | 0;\n mid = (mid + Math.imul(al2, bh4)) | 0;\n mid = (mid + Math.imul(ah2, bl4)) | 0;\n hi = (hi + Math.imul(ah2, bh4)) | 0;\n lo = (lo + Math.imul(al1, bl5)) | 0;\n mid = (mid + Math.imul(al1, bh5)) | 0;\n mid = (mid + Math.imul(ah1, bl5)) | 0;\n hi = (hi + Math.imul(ah1, bh5)) | 0;\n lo = (lo + Math.imul(al0, bl6)) | 0;\n mid = (mid + Math.imul(al0, bh6)) | 0;\n mid = (mid + Math.imul(ah0, bl6)) | 0;\n hi = (hi + Math.imul(ah0, bh6)) | 0;\n var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n w6 &= 0x3ffffff;\n /* k = 7 */\n lo = Math.imul(al7, bl0);\n mid = Math.imul(al7, bh0);\n mid = (mid + Math.imul(ah7, bl0)) | 0;\n hi = Math.imul(ah7, bh0);\n lo = (lo + Math.imul(al6, bl1)) | 0;\n mid = (mid + Math.imul(al6, bh1)) | 0;\n mid = (mid + Math.imul(ah6, bl1)) | 0;\n hi = (hi + Math.imul(ah6, bh1)) | 0;\n lo = (lo + Math.imul(al5, bl2)) | 0;\n mid = (mid + Math.imul(al5, bh2)) | 0;\n mid = (mid + Math.imul(ah5, bl2)) | 0;\n hi = (hi + Math.imul(ah5, bh2)) | 0;\n lo = (lo + Math.imul(al4, bl3)) | 0;\n mid = (mid + Math.imul(al4, bh3)) | 0;\n mid = (mid + Math.imul(ah4, bl3)) | 0;\n hi = (hi + Math.imul(ah4, bh3)) | 0;\n lo = (lo + Math.imul(al3, bl4)) | 0;\n mid = (mid + Math.imul(al3, bh4)) | 0;\n mid = (mid + Math.imul(ah3, bl4)) | 0;\n hi = (hi + Math.imul(ah3, bh4)) | 0;\n lo = (lo + Math.imul(al2, bl5)) | 0;\n mid = (mid + Math.imul(al2, bh5)) | 0;\n mid = (mid + Math.imul(ah2, bl5)) | 0;\n hi = (hi + Math.imul(ah2, bh5)) | 0;\n lo = (lo + Math.imul(al1, bl6)) | 0;\n mid = (mid + Math.imul(al1, bh6)) | 0;\n mid = (mid + Math.imul(ah1, bl6)) | 0;\n hi = (hi + Math.imul(ah1, bh6)) | 0;\n lo = (lo + Math.imul(al0, bl7)) | 0;\n mid = (mid + Math.imul(al0, bh7)) | 0;\n mid = (mid + Math.imul(ah0, bl7)) | 0;\n hi = (hi + Math.imul(ah0, bh7)) | 0;\n var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n w7 &= 0x3ffffff;\n /* k = 8 */\n lo = Math.imul(al8, bl0);\n mid = Math.imul(al8, bh0);\n mid = (mid + Math.imul(ah8, bl0)) | 0;\n hi = Math.imul(ah8, bh0);\n lo = (lo + Math.imul(al7, bl1)) | 0;\n mid = (mid + Math.imul(al7, bh1)) | 0;\n mid = (mid + Math.imul(ah7, bl1)) | 0;\n hi = (hi + Math.imul(ah7, bh1)) | 0;\n lo = (lo + Math.imul(al6, bl2)) | 0;\n mid = (mid + Math.imul(al6, bh2)) | 0;\n mid = (mid + Math.imul(ah6, bl2)) | 0;\n hi = (hi + Math.imul(ah6, bh2)) | 0;\n lo = (lo + Math.imul(al5, bl3)) | 0;\n mid = (mid + Math.imul(al5, bh3)) | 0;\n mid = (mid + Math.imul(ah5, bl3)) | 0;\n hi = (hi + Math.imul(ah5, bh3)) | 0;\n lo = (lo + Math.imul(al4, bl4)) | 0;\n mid = (mid + Math.imul(al4, bh4)) | 0;\n mid = (mid + Math.imul(ah4, bl4)) | 0;\n hi = (hi + Math.imul(ah4, bh4)) | 0;\n lo = (lo + Math.imul(al3, bl5)) | 0;\n mid = (mid + Math.imul(al3, bh5)) | 0;\n mid = (mid + Math.imul(ah3, bl5)) | 0;\n hi = (hi + Math.imul(ah3, bh5)) | 0;\n lo = (lo + Math.imul(al2, bl6)) | 0;\n mid = (mid + Math.imul(al2, bh6)) | 0;\n mid = (mid + Math.imul(ah2, bl6)) | 0;\n hi = (hi + Math.imul(ah2, bh6)) | 0;\n lo = (lo + Math.imul(al1, bl7)) | 0;\n mid = (mid + Math.imul(al1, bh7)) | 0;\n mid = (mid + Math.imul(ah1, bl7)) | 0;\n hi = (hi + Math.imul(ah1, bh7)) | 0;\n lo = (lo + Math.imul(al0, bl8)) | 0;\n mid = (mid + Math.imul(al0, bh8)) | 0;\n mid = (mid + Math.imul(ah0, bl8)) | 0;\n hi = (hi + Math.imul(ah0, bh8)) | 0;\n var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n w8 &= 0x3ffffff;\n /* k = 9 */\n lo = Math.imul(al9, bl0);\n mid = Math.imul(al9, bh0);\n mid = (mid + Math.imul(ah9, bl0)) | 0;\n hi = Math.imul(ah9, bh0);\n lo = (lo + Math.imul(al8, bl1)) | 0;\n mid = (mid + Math.imul(al8, bh1)) | 0;\n mid = (mid + Math.imul(ah8, bl1)) | 0;\n hi = (hi + Math.imul(ah8, bh1)) | 0;\n lo = (lo + Math.imul(al7, bl2)) | 0;\n mid = (mid + Math.imul(al7, bh2)) | 0;\n mid = (mid + Math.imul(ah7, bl2)) | 0;\n hi = (hi + Math.imul(ah7, bh2)) | 0;\n lo = (lo + Math.imul(al6, bl3)) | 0;\n mid = (mid + Math.imul(al6, bh3)) | 0;\n mid = (mid + Math.imul(ah6, bl3)) | 0;\n hi = (hi + Math.imul(ah6, bh3)) | 0;\n lo = (lo + Math.imul(al5, bl4)) | 0;\n mid = (mid + Math.imul(al5, bh4)) | 0;\n mid = (mid + Math.imul(ah5, bl4)) | 0;\n hi = (hi + Math.imul(ah5, bh4)) | 0;\n lo = (lo + Math.imul(al4, bl5)) | 0;\n mid = (mid + Math.imul(al4, bh5)) | 0;\n mid = (mid + Math.imul(ah4, bl5)) | 0;\n hi = (hi + Math.imul(ah4, bh5)) | 0;\n lo = (lo + Math.imul(al3, bl6)) | 0;\n mid = (mid + Math.imul(al3, bh6)) | 0;\n mid = (mid + Math.imul(ah3, bl6)) | 0;\n hi = (hi + Math.imul(ah3, bh6)) | 0;\n lo = (lo + Math.imul(al2, bl7)) | 0;\n mid = (mid + Math.imul(al2, bh7)) | 0;\n mid = (mid + Math.imul(ah2, bl7)) | 0;\n hi = (hi + Math.imul(ah2, bh7)) | 0;\n lo = (lo + Math.imul(al1, bl8)) | 0;\n mid = (mid + Math.imul(al1, bh8)) | 0;\n mid = (mid + Math.imul(ah1, bl8)) | 0;\n hi = (hi + Math.imul(ah1, bh8)) | 0;\n lo = (lo + Math.imul(al0, bl9)) | 0;\n mid = (mid + Math.imul(al0, bh9)) | 0;\n mid = (mid + Math.imul(ah0, bl9)) | 0;\n hi = (hi + Math.imul(ah0, bh9)) | 0;\n var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n w9 &= 0x3ffffff;\n /* k = 10 */\n lo = Math.imul(al9, bl1);\n mid = Math.imul(al9, bh1);\n mid = (mid + Math.imul(ah9, bl1)) | 0;\n hi = Math.imul(ah9, bh1);\n lo = (lo + Math.imul(al8, bl2)) | 0;\n mid = (mid + Math.imul(al8, bh2)) | 0;\n mid = (mid + Math.imul(ah8, bl2)) | 0;\n hi = (hi + Math.imul(ah8, bh2)) | 0;\n lo = (lo + Math.imul(al7, bl3)) | 0;\n mid = (mid + Math.imul(al7, bh3)) | 0;\n mid = (mid + Math.imul(ah7, bl3)) | 0;\n hi = (hi + Math.imul(ah7, bh3)) | 0;\n lo = (lo + Math.imul(al6, bl4)) | 0;\n mid = (mid + Math.imul(al6, bh4)) | 0;\n mid = (mid + Math.imul(ah6, bl4)) | 0;\n hi = (hi + Math.imul(ah6, bh4)) | 0;\n lo = (lo + Math.imul(al5, bl5)) | 0;\n mid = (mid + Math.imul(al5, bh5)) | 0;\n mid = (mid + Math.imul(ah5, bl5)) | 0;\n hi = (hi + Math.imul(ah5, bh5)) | 0;\n lo = (lo + Math.imul(al4, bl6)) | 0;\n mid = (mid + Math.imul(al4, bh6)) | 0;\n mid = (mid + Math.imul(ah4, bl6)) | 0;\n hi = (hi + Math.imul(ah4, bh6)) | 0;\n lo = (lo + Math.imul(al3, bl7)) | 0;\n mid = (mid + Math.imul(al3, bh7)) | 0;\n mid = (mid + Math.imul(ah3, bl7)) | 0;\n hi = (hi + Math.imul(ah3, bh7)) | 0;\n lo = (lo + Math.imul(al2, bl8)) | 0;\n mid = (mid + Math.imul(al2, bh8)) | 0;\n mid = (mid + Math.imul(ah2, bl8)) | 0;\n hi = (hi + Math.imul(ah2, bh8)) | 0;\n lo = (lo + Math.imul(al1, bl9)) | 0;\n mid = (mid + Math.imul(al1, bh9)) | 0;\n mid = (mid + Math.imul(ah1, bl9)) | 0;\n hi = (hi + Math.imul(ah1, bh9)) | 0;\n var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n w10 &= 0x3ffffff;\n /* k = 11 */\n lo = Math.imul(al9, bl2);\n mid = Math.imul(al9, bh2);\n mid = (mid + Math.imul(ah9, bl2)) | 0;\n hi = Math.imul(ah9, bh2);\n lo = (lo + Math.imul(al8, bl3)) | 0;\n mid = (mid + Math.imul(al8, bh3)) | 0;\n mid = (mid + Math.imul(ah8, bl3)) | 0;\n hi = (hi + Math.imul(ah8, bh3)) | 0;\n lo = (lo + Math.imul(al7, bl4)) | 0;\n mid = (mid + Math.imul(al7, bh4)) | 0;\n mid = (mid + Math.imul(ah7, bl4)) | 0;\n hi = (hi + Math.imul(ah7, bh4)) | 0;\n lo = (lo + Math.imul(al6, bl5)) | 0;\n mid = (mid + Math.imul(al6, bh5)) | 0;\n mid = (mid + Math.imul(ah6, bl5)) | 0;\n hi = (hi + Math.imul(ah6, bh5)) | 0;\n lo = (lo + Math.imul(al5, bl6)) | 0;\n mid = (mid + Math.imul(al5, bh6)) | 0;\n mid = (mid + Math.imul(ah5, bl6)) | 0;\n hi = (hi + Math.imul(ah5, bh6)) | 0;\n lo = (lo + Math.imul(al4, bl7)) | 0;\n mid = (mid + Math.imul(al4, bh7)) | 0;\n mid = (mid + Math.imul(ah4, bl7)) | 0;\n hi = (hi + Math.imul(ah4, bh7)) | 0;\n lo = (lo + Math.imul(al3, bl8)) | 0;\n mid = (mid + Math.imul(al3, bh8)) | 0;\n mid = (mid + Math.imul(ah3, bl8)) | 0;\n hi = (hi + Math.imul(ah3, bh8)) | 0;\n lo = (lo + Math.imul(al2, bl9)) | 0;\n mid = (mid + Math.imul(al2, bh9)) | 0;\n mid = (mid + Math.imul(ah2, bl9)) | 0;\n hi = (hi + Math.imul(ah2, bh9)) | 0;\n var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n w11 &= 0x3ffffff;\n /* k = 12 */\n lo = Math.imul(al9, bl3);\n mid = Math.imul(al9, bh3);\n mid = (mid + Math.imul(ah9, bl3)) | 0;\n hi = Math.imul(ah9, bh3);\n lo = (lo + Math.imul(al8, bl4)) | 0;\n mid = (mid + Math.imul(al8, bh4)) | 0;\n mid = (mid + Math.imul(ah8, bl4)) | 0;\n hi = (hi + Math.imul(ah8, bh4)) | 0;\n lo = (lo + Math.imul(al7, bl5)) | 0;\n mid = (mid + Math.imul(al7, bh5)) | 0;\n mid = (mid + Math.imul(ah7, bl5)) | 0;\n hi = (hi + Math.imul(ah7, bh5)) | 0;\n lo = (lo + Math.imul(al6, bl6)) | 0;\n mid = (mid + Math.imul(al6, bh6)) | 0;\n mid = (mid + Math.imul(ah6, bl6)) | 0;\n hi = (hi + Math.imul(ah6, bh6)) | 0;\n lo = (lo + Math.imul(al5, bl7)) | 0;\n mid = (mid + Math.imul(al5, bh7)) | 0;\n mid = (mid + Math.imul(ah5, bl7)) | 0;\n hi = (hi + Math.imul(ah5, bh7)) | 0;\n lo = (lo + Math.imul(al4, bl8)) | 0;\n mid = (mid + Math.imul(al4, bh8)) | 0;\n mid = (mid + Math.imul(ah4, bl8)) | 0;\n hi = (hi + Math.imul(ah4, bh8)) | 0;\n lo = (lo + Math.imul(al3, bl9)) | 0;\n mid = (mid + Math.imul(al3, bh9)) | 0;\n mid = (mid + Math.imul(ah3, bl9)) | 0;\n hi = (hi + Math.imul(ah3, bh9)) | 0;\n var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n w12 &= 0x3ffffff;\n /* k = 13 */\n lo = Math.imul(al9, bl4);\n mid = Math.imul(al9, bh4);\n mid = (mid + Math.imul(ah9, bl4)) | 0;\n hi = Math.imul(ah9, bh4);\n lo = (lo + Math.imul(al8, bl5)) | 0;\n mid = (mid + Math.imul(al8, bh5)) | 0;\n mid = (mid + Math.imul(ah8, bl5)) | 0;\n hi = (hi + Math.imul(ah8, bh5)) | 0;\n lo = (lo + Math.imul(al7, bl6)) | 0;\n mid = (mid + Math.imul(al7, bh6)) | 0;\n mid = (mid + Math.imul(ah7, bl6)) | 0;\n hi = (hi + Math.imul(ah7, bh6)) | 0;\n lo = (lo + Math.imul(al6, bl7)) | 0;\n mid = (mid + Math.imul(al6, bh7)) | 0;\n mid = (mid + Math.imul(ah6, bl7)) | 0;\n hi = (hi + Math.imul(ah6, bh7)) | 0;\n lo = (lo + Math.imul(al5, bl8)) | 0;\n mid = (mid + Math.imul(al5, bh8)) | 0;\n mid = (mid + Math.imul(ah5, bl8)) | 0;\n hi = (hi + Math.imul(ah5, bh8)) | 0;\n lo = (lo + Math.imul(al4, bl9)) | 0;\n mid = (mid + Math.imul(al4, bh9)) | 0;\n mid = (mid + Math.imul(ah4, bl9)) | 0;\n hi = (hi + Math.imul(ah4, bh9)) | 0;\n var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n w13 &= 0x3ffffff;\n /* k = 14 */\n lo = Math.imul(al9, bl5);\n mid = Math.imul(al9, bh5);\n mid = (mid + Math.imul(ah9, bl5)) | 0;\n hi = Math.imul(ah9, bh5);\n lo = (lo + Math.imul(al8, bl6)) | 0;\n mid = (mid + Math.imul(al8, bh6)) | 0;\n mid = (mid + Math.imul(ah8, bl6)) | 0;\n hi = (hi + Math.imul(ah8, bh6)) | 0;\n lo = (lo + Math.imul(al7, bl7)) | 0;\n mid = (mid + Math.imul(al7, bh7)) | 0;\n mid = (mid + Math.imul(ah7, bl7)) | 0;\n hi = (hi + Math.imul(ah7, bh7)) | 0;\n lo = (lo + Math.imul(al6, bl8)) | 0;\n mid = (mid + Math.imul(al6, bh8)) | 0;\n mid = (mid + Math.imul(ah6, bl8)) | 0;\n hi = (hi + Math.imul(ah6, bh8)) | 0;\n lo = (lo + Math.imul(al5, bl9)) | 0;\n mid = (mid + Math.imul(al5, bh9)) | 0;\n mid = (mid + Math.imul(ah5, bl9)) | 0;\n hi = (hi + Math.imul(ah5, bh9)) | 0;\n var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n w14 &= 0x3ffffff;\n /* k = 15 */\n lo = Math.imul(al9, bl6);\n mid = Math.imul(al9, bh6);\n mid = (mid + Math.imul(ah9, bl6)) | 0;\n hi = Math.imul(ah9, bh6);\n lo = (lo + Math.imul(al8, bl7)) | 0;\n mid = (mid + Math.imul(al8, bh7)) | 0;\n mid = (mid + Math.imul(ah8, bl7)) | 0;\n hi = (hi + Math.imul(ah8, bh7)) | 0;\n lo = (lo + Math.imul(al7, bl8)) | 0;\n mid = (mid + Math.imul(al7, bh8)) | 0;\n mid = (mid + Math.imul(ah7, bl8)) | 0;\n hi = (hi + Math.imul(ah7, bh8)) | 0;\n lo = (lo + Math.imul(al6, bl9)) | 0;\n mid = (mid + Math.imul(al6, bh9)) | 0;\n mid = (mid + Math.imul(ah6, bl9)) | 0;\n hi = (hi + Math.imul(ah6, bh9)) | 0;\n var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n w15 &= 0x3ffffff;\n /* k = 16 */\n lo = Math.imul(al9, bl7);\n mid = Math.imul(al9, bh7);\n mid = (mid + Math.imul(ah9, bl7)) | 0;\n hi = Math.imul(ah9, bh7);\n lo = (lo + Math.imul(al8, bl8)) | 0;\n mid = (mid + Math.imul(al8, bh8)) | 0;\n mid = (mid + Math.imul(ah8, bl8)) | 0;\n hi = (hi + Math.imul(ah8, bh8)) | 0;\n lo = (lo + Math.imul(al7, bl9)) | 0;\n mid = (mid + Math.imul(al7, bh9)) | 0;\n mid = (mid + Math.imul(ah7, bl9)) | 0;\n hi = (hi + Math.imul(ah7, bh9)) | 0;\n var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n w16 &= 0x3ffffff;\n /* k = 17 */\n lo = Math.imul(al9, bl8);\n mid = Math.imul(al9, bh8);\n mid = (mid + Math.imul(ah9, bl8)) | 0;\n hi = Math.imul(ah9, bh8);\n lo = (lo + Math.imul(al8, bl9)) | 0;\n mid = (mid + Math.imul(al8, bh9)) | 0;\n mid = (mid + Math.imul(ah8, bl9)) | 0;\n hi = (hi + Math.imul(ah8, bh9)) | 0;\n var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n w17 &= 0x3ffffff;\n /* k = 18 */\n lo = Math.imul(al9, bl9);\n mid = Math.imul(al9, bh9);\n mid = (mid + Math.imul(ah9, bl9)) | 0;\n hi = Math.imul(ah9, bh9);\n var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n w18 &= 0x3ffffff;\n o[0] = w0;\n o[1] = w1;\n o[2] = w2;\n o[3] = w3;\n o[4] = w4;\n o[5] = w5;\n o[6] = w6;\n o[7] = w7;\n o[8] = w8;\n o[9] = w9;\n o[10] = w10;\n o[11] = w11;\n o[12] = w12;\n o[13] = w13;\n o[14] = w14;\n o[15] = w15;\n o[16] = w16;\n o[17] = w17;\n o[18] = w18;\n if (c !== 0) {\n o[19] = c;\n out.length++;\n }\n return out;\n };\n\n // Polyfill comb\n if (!Math.imul) {\n comb10MulTo = smallMulTo;\n }\n\n function bigMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n out.length = self.length + num.length;\n\n var carry = 0;\n var hncarry = 0;\n for (var k = 0; k < out.length - 1; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = hncarry;\n hncarry = 0;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = k - j;\n var a = self.words[i] | 0;\n var b = num.words[j] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n lo = (lo + rword) | 0;\n rword = lo & 0x3ffffff;\n ncarry = (ncarry + (lo >>> 26)) | 0;\n\n hncarry += ncarry >>> 26;\n ncarry &= 0x3ffffff;\n }\n out.words[k] = rword;\n carry = ncarry;\n ncarry = hncarry;\n }\n if (carry !== 0) {\n out.words[k] = carry;\n } else {\n out.length--;\n }\n\n return out._strip();\n }\n\n function jumboMulTo (self, num, out) {\n // Temporary disable, see https://github.com/indutny/bn.js/issues/211\n // var fftm = new FFTM();\n // return fftm.mulp(self, num, out);\n return bigMulTo(self, num, out);\n }\n\n BN.prototype.mulTo = function mulTo (num, out) {\n var res;\n var len = this.length + num.length;\n if (this.length === 10 && num.length === 10) {\n res = comb10MulTo(this, num, out);\n } else if (len < 63) {\n res = smallMulTo(this, num, out);\n } else if (len < 1024) {\n res = bigMulTo(this, num, out);\n } else {\n res = jumboMulTo(this, num, out);\n }\n\n return res;\n };\n\n // Cooley-Tukey algorithm for FFT\n // slightly revisited to rely on looping instead of recursion\n\n function FFTM (x, y) {\n this.x = x;\n this.y = y;\n }\n\n FFTM.prototype.makeRBT = function makeRBT (N) {\n var t = new Array(N);\n var l = BN.prototype._countBits(N) - 1;\n for (var i = 0; i < N; i++) {\n t[i] = this.revBin(i, l, N);\n }\n\n return t;\n };\n\n // Returns binary-reversed representation of `x`\n FFTM.prototype.revBin = function revBin (x, l, N) {\n if (x === 0 || x === N - 1) return x;\n\n var rb = 0;\n for (var i = 0; i < l; i++) {\n rb |= (x & 1) << (l - i - 1);\n x >>= 1;\n }\n\n return rb;\n };\n\n // Performs \"tweedling\" phase, therefore 'emulating'\n // behaviour of the recursive algorithm\n FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n for (var i = 0; i < N; i++) {\n rtws[i] = rws[rbt[i]];\n itws[i] = iws[rbt[i]];\n }\n };\n\n FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n this.permute(rbt, rws, iws, rtws, itws, N);\n\n for (var s = 1; s < N; s <<= 1) {\n var l = s << 1;\n\n var rtwdf = Math.cos(2 * Math.PI / l);\n var itwdf = Math.sin(2 * Math.PI / l);\n\n for (var p = 0; p < N; p += l) {\n var rtwdf_ = rtwdf;\n var itwdf_ = itwdf;\n\n for (var j = 0; j < s; j++) {\n var re = rtws[p + j];\n var ie = itws[p + j];\n\n var ro = rtws[p + j + s];\n var io = itws[p + j + s];\n\n var rx = rtwdf_ * ro - itwdf_ * io;\n\n io = rtwdf_ * io + itwdf_ * ro;\n ro = rx;\n\n rtws[p + j] = re + ro;\n itws[p + j] = ie + io;\n\n rtws[p + j + s] = re - ro;\n itws[p + j + s] = ie - io;\n\n /* jshint maxdepth : false */\n if (j !== l) {\n rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n rtwdf_ = rx;\n }\n }\n }\n }\n };\n\n FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n var N = Math.max(m, n) | 1;\n var odd = N & 1;\n var i = 0;\n for (N = N / 2 | 0; N; N = N >>> 1) {\n i++;\n }\n\n return 1 << i + 1 + odd;\n };\n\n FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n if (N <= 1) return;\n\n for (var i = 0; i < N / 2; i++) {\n var t = rws[i];\n\n rws[i] = rws[N - i - 1];\n rws[N - i - 1] = t;\n\n t = iws[i];\n\n iws[i] = -iws[N - i - 1];\n iws[N - i - 1] = -t;\n }\n };\n\n FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n var carry = 0;\n for (var i = 0; i < N / 2; i++) {\n var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n Math.round(ws[2 * i] / N) +\n carry;\n\n ws[i] = w & 0x3ffffff;\n\n if (w < 0x4000000) {\n carry = 0;\n } else {\n carry = w / 0x4000000 | 0;\n }\n }\n\n return ws;\n };\n\n FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n var carry = 0;\n for (var i = 0; i < len; i++) {\n carry = carry + (ws[i] | 0);\n\n rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n }\n\n // Pad with zeroes\n for (i = 2 * len; i < N; ++i) {\n rws[i] = 0;\n }\n\n assert(carry === 0);\n assert((carry & ~0x1fff) === 0);\n };\n\n FFTM.prototype.stub = function stub (N) {\n var ph = new Array(N);\n for (var i = 0; i < N; i++) {\n ph[i] = 0;\n }\n\n return ph;\n };\n\n FFTM.prototype.mulp = function mulp (x, y, out) {\n var N = 2 * this.guessLen13b(x.length, y.length);\n\n var rbt = this.makeRBT(N);\n\n var _ = this.stub(N);\n\n var rws = new Array(N);\n var rwst = new Array(N);\n var iwst = new Array(N);\n\n var nrws = new Array(N);\n var nrwst = new Array(N);\n var niwst = new Array(N);\n\n var rmws = out.words;\n rmws.length = N;\n\n this.convert13b(x.words, x.length, rws, N);\n this.convert13b(y.words, y.length, nrws, N);\n\n this.transform(rws, _, rwst, iwst, N, rbt);\n this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n for (var i = 0; i < N; i++) {\n var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n rwst[i] = rx;\n }\n\n this.conjugate(rwst, iwst, N);\n this.transform(rwst, iwst, rmws, _, N, rbt);\n this.conjugate(rmws, _, N);\n this.normalize13b(rmws, N);\n\n out.negative = x.negative ^ y.negative;\n out.length = x.length + y.length;\n return out._strip();\n };\n\n // Multiply `this` by `num`\n BN.prototype.mul = function mul (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return this.mulTo(num, out);\n };\n\n // Multiply employing FFT\n BN.prototype.mulf = function mulf (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return jumboMulTo(this, num, out);\n };\n\n // In-place Multiplication\n BN.prototype.imul = function imul (num) {\n return this.clone().mulTo(num, this);\n };\n\n BN.prototype.imuln = function imuln (num) {\n var isNegNum = num < 0;\n if (isNegNum) num = -num;\n\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n\n // Carry\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = (this.words[i] | 0) * num;\n var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n carry >>= 26;\n carry += (w / 0x4000000) | 0;\n // NOTE: lo is 27bit maximum\n carry += lo >>> 26;\n this.words[i] = lo & 0x3ffffff;\n }\n\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n\n return isNegNum ? this.ineg() : this;\n };\n\n BN.prototype.muln = function muln (num) {\n return this.clone().imuln(num);\n };\n\n // `this` * `this`\n BN.prototype.sqr = function sqr () {\n return this.mul(this);\n };\n\n // `this` * `this` in-place\n BN.prototype.isqr = function isqr () {\n return this.imul(this.clone());\n };\n\n // Math.pow(`this`, `num`)\n BN.prototype.pow = function pow (num) {\n var w = toBitArray(num);\n if (w.length === 0) return new BN(1);\n\n // Skip leading zeroes\n var res = this;\n for (var i = 0; i < w.length; i++, res = res.sqr()) {\n if (w[i] !== 0) break;\n }\n\n if (++i < w.length) {\n for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n if (w[i] === 0) continue;\n\n res = res.mul(q);\n }\n }\n\n return res;\n };\n\n // Shift-left in-place\n BN.prototype.iushln = function iushln (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n var i;\n\n if (r !== 0) {\n var carry = 0;\n\n for (i = 0; i < this.length; i++) {\n var newCarry = this.words[i] & carryMask;\n var c = ((this.words[i] | 0) - newCarry) << r;\n this.words[i] = c | carry;\n carry = newCarry >>> (26 - r);\n }\n\n if (carry) {\n this.words[i] = carry;\n this.length++;\n }\n }\n\n if (s !== 0) {\n for (i = this.length - 1; i >= 0; i--) {\n this.words[i + s] = this.words[i];\n }\n\n for (i = 0; i < s; i++) {\n this.words[i] = 0;\n }\n\n this.length += s;\n }\n\n return this._strip();\n };\n\n BN.prototype.ishln = function ishln (bits) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushln(bits);\n };\n\n // Shift-right in-place\n // NOTE: `hint` is a lowest bit before trailing zeroes\n // NOTE: if `extended` is present - it will be filled with destroyed bits\n BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n assert(typeof bits === 'number' && bits >= 0);\n var h;\n if (hint) {\n h = (hint - (hint % 26)) / 26;\n } else {\n h = 0;\n }\n\n var r = bits % 26;\n var s = Math.min((bits - r) / 26, this.length);\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n var maskedWords = extended;\n\n h -= s;\n h = Math.max(0, h);\n\n // Extended mode, copy masked part\n if (maskedWords) {\n for (var i = 0; i < s; i++) {\n maskedWords.words[i] = this.words[i];\n }\n maskedWords.length = s;\n }\n\n if (s === 0) {\n // No-op, we should not move anything at all\n } else if (this.length > s) {\n this.length -= s;\n for (i = 0; i < this.length; i++) {\n this.words[i] = this.words[i + s];\n }\n } else {\n this.words[0] = 0;\n this.length = 1;\n }\n\n var carry = 0;\n for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n var word = this.words[i] | 0;\n this.words[i] = (carry << (26 - r)) | (word >>> r);\n carry = word & mask;\n }\n\n // Push carried bits as a mask\n if (maskedWords && carry !== 0) {\n maskedWords.words[maskedWords.length++] = carry;\n }\n\n if (this.length === 0) {\n this.words[0] = 0;\n this.length = 1;\n }\n\n return this._strip();\n };\n\n BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushrn(bits, hint, extended);\n };\n\n // Shift-left\n BN.prototype.shln = function shln (bits) {\n return this.clone().ishln(bits);\n };\n\n BN.prototype.ushln = function ushln (bits) {\n return this.clone().iushln(bits);\n };\n\n // Shift-right\n BN.prototype.shrn = function shrn (bits) {\n return this.clone().ishrn(bits);\n };\n\n BN.prototype.ushrn = function ushrn (bits) {\n return this.clone().iushrn(bits);\n };\n\n // Test if n bit is set\n BN.prototype.testn = function testn (bit) {\n assert(typeof bit === 'number' && bit >= 0);\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) return false;\n\n // Check bit and return\n var w = this.words[s];\n\n return !!(w & q);\n };\n\n // Return only lowers bits of number (in-place)\n BN.prototype.imaskn = function imaskn (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n\n assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n if (this.length <= s) {\n return this;\n }\n\n if (r !== 0) {\n s++;\n }\n this.length = Math.min(s, this.length);\n\n if (r !== 0) {\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n this.words[this.length - 1] &= mask;\n }\n\n return this._strip();\n };\n\n // Return only lowers bits of number\n BN.prototype.maskn = function maskn (bits) {\n return this.clone().imaskn(bits);\n };\n\n // Add plain number `num` to `this`\n BN.prototype.iaddn = function iaddn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.isubn(-num);\n\n // Possible sign change\n if (this.negative !== 0) {\n if (this.length === 1 && (this.words[0] | 0) <= num) {\n this.words[0] = num - (this.words[0] | 0);\n this.negative = 0;\n return this;\n }\n\n this.negative = 0;\n this.isubn(num);\n this.negative = 1;\n return this;\n }\n\n // Add without checks\n return this._iaddn(num);\n };\n\n BN.prototype._iaddn = function _iaddn (num) {\n this.words[0] += num;\n\n // Carry\n for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n this.words[i] -= 0x4000000;\n if (i === this.length - 1) {\n this.words[i + 1] = 1;\n } else {\n this.words[i + 1]++;\n }\n }\n this.length = Math.max(this.length, i + 1);\n\n return this;\n };\n\n // Subtract plain number `num` from `this`\n BN.prototype.isubn = function isubn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.iaddn(-num);\n\n if (this.negative !== 0) {\n this.negative = 0;\n this.iaddn(num);\n this.negative = 1;\n return this;\n }\n\n this.words[0] -= num;\n\n if (this.length === 1 && this.words[0] < 0) {\n this.words[0] = -this.words[0];\n this.negative = 1;\n } else {\n // Carry\n for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n this.words[i] += 0x4000000;\n this.words[i + 1] -= 1;\n }\n }\n\n return this._strip();\n };\n\n BN.prototype.addn = function addn (num) {\n return this.clone().iaddn(num);\n };\n\n BN.prototype.subn = function subn (num) {\n return this.clone().isubn(num);\n };\n\n BN.prototype.iabs = function iabs () {\n this.negative = 0;\n\n return this;\n };\n\n BN.prototype.abs = function abs () {\n return this.clone().iabs();\n };\n\n BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n var len = num.length + shift;\n var i;\n\n this._expand(len);\n\n var w;\n var carry = 0;\n for (i = 0; i < num.length; i++) {\n w = (this.words[i + shift] | 0) + carry;\n var right = (num.words[i] | 0) * mul;\n w -= right & 0x3ffffff;\n carry = (w >> 26) - ((right / 0x4000000) | 0);\n this.words[i + shift] = w & 0x3ffffff;\n }\n for (; i < this.length - shift; i++) {\n w = (this.words[i + shift] | 0) + carry;\n carry = w >> 26;\n this.words[i + shift] = w & 0x3ffffff;\n }\n\n if (carry === 0) return this._strip();\n\n // Subtraction overflow\n assert(carry === -1);\n carry = 0;\n for (i = 0; i < this.length; i++) {\n w = -(this.words[i] | 0) + carry;\n carry = w >> 26;\n this.words[i] = w & 0x3ffffff;\n }\n this.negative = 1;\n\n return this._strip();\n };\n\n BN.prototype._wordDiv = function _wordDiv (num, mode) {\n var shift = this.length - num.length;\n\n var a = this.clone();\n var b = num;\n\n // Normalize\n var bhi = b.words[b.length - 1] | 0;\n var bhiBits = this._countBits(bhi);\n shift = 26 - bhiBits;\n if (shift !== 0) {\n b = b.ushln(shift);\n a.iushln(shift);\n bhi = b.words[b.length - 1] | 0;\n }\n\n // Initialize quotient\n var m = a.length - b.length;\n var q;\n\n if (mode !== 'mod') {\n q = new BN(null);\n q.length = m + 1;\n q.words = new Array(q.length);\n for (var i = 0; i < q.length; i++) {\n q.words[i] = 0;\n }\n }\n\n var diff = a.clone()._ishlnsubmul(b, 1, m);\n if (diff.negative === 0) {\n a = diff;\n if (q) {\n q.words[m] = 1;\n }\n }\n\n for (var j = m - 1; j >= 0; j--) {\n var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n (a.words[b.length + j - 1] | 0);\n\n // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n // (0x7ffffff)\n qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n a._ishlnsubmul(b, qj, j);\n while (a.negative !== 0) {\n qj--;\n a.negative = 0;\n a._ishlnsubmul(b, 1, j);\n if (!a.isZero()) {\n a.negative ^= 1;\n }\n }\n if (q) {\n q.words[j] = qj;\n }\n }\n if (q) {\n q._strip();\n }\n a._strip();\n\n // Denormalize\n if (mode !== 'div' && shift !== 0) {\n a.iushrn(shift);\n }\n\n return {\n div: q || null,\n mod: a\n };\n };\n\n // NOTE: 1) `mode` can be set to `mod` to request mod only,\n // to `div` to request div only, or be absent to\n // request both div & mod\n // 2) `positive` is true if unsigned mod is requested\n BN.prototype.divmod = function divmod (num, mode, positive) {\n assert(!num.isZero());\n\n if (this.isZero()) {\n return {\n div: new BN(0),\n mod: new BN(0)\n };\n }\n\n var div, mod, res;\n if (this.negative !== 0 && num.negative === 0) {\n res = this.neg().divmod(num, mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.iadd(num);\n }\n }\n\n return {\n div: div,\n mod: mod\n };\n }\n\n if (this.negative === 0 && num.negative !== 0) {\n res = this.divmod(num.neg(), mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n return {\n div: div,\n mod: res.mod\n };\n }\n\n if ((this.negative & num.negative) !== 0) {\n res = this.neg().divmod(num.neg(), mode);\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.isub(num);\n }\n }\n\n return {\n div: res.div,\n mod: mod\n };\n }\n\n // Both numbers are positive at this point\n\n // Strip both numbers to approximate shift value\n if (num.length > this.length || this.cmp(num) < 0) {\n return {\n div: new BN(0),\n mod: this\n };\n }\n\n // Very short reduction\n if (num.length === 1) {\n if (mode === 'div') {\n return {\n div: this.divn(num.words[0]),\n mod: null\n };\n }\n\n if (mode === 'mod') {\n return {\n div: null,\n mod: new BN(this.modrn(num.words[0]))\n };\n }\n\n return {\n div: this.divn(num.words[0]),\n mod: new BN(this.modrn(num.words[0]))\n };\n }\n\n return this._wordDiv(num, mode);\n };\n\n // Find `this` / `num`\n BN.prototype.div = function div (num) {\n return this.divmod(num, 'div', false).div;\n };\n\n // Find `this` % `num`\n BN.prototype.mod = function mod (num) {\n return this.divmod(num, 'mod', false).mod;\n };\n\n BN.prototype.umod = function umod (num) {\n return this.divmod(num, 'mod', true).mod;\n };\n\n // Find Round(`this` / `num`)\n BN.prototype.divRound = function divRound (num) {\n var dm = this.divmod(num);\n\n // Fast case - exact division\n if (dm.mod.isZero()) return dm.div;\n\n var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;\n\n var half = num.ushrn(1);\n var r2 = num.andln(1);\n var cmp = mod.cmp(half);\n\n // Round down\n if (cmp < 0 || (r2 === 1 && cmp === 0)) return dm.div;\n\n // Round up\n return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);\n };\n\n BN.prototype.modrn = function modrn (num) {\n var isNegNum = num < 0;\n if (isNegNum) num = -num;\n\n assert(num <= 0x3ffffff);\n var p = (1 << 26) % num;\n\n var acc = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n acc = (p * acc + (this.words[i] | 0)) % num;\n }\n\n return isNegNum ? -acc : acc;\n };\n\n // WARNING: DEPRECATED\n BN.prototype.modn = function modn (num) {\n return this.modrn(num);\n };\n\n // In-place division by number\n BN.prototype.idivn = function idivn (num) {\n var isNegNum = num < 0;\n if (isNegNum) num = -num;\n\n assert(num <= 0x3ffffff);\n\n var carry = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var w = (this.words[i] | 0) + carry * 0x4000000;\n this.words[i] = (w / num) | 0;\n carry = w % num;\n }\n\n this._strip();\n return isNegNum ? this.ineg() : this;\n };\n\n BN.prototype.divn = function divn (num) {\n return this.clone().idivn(num);\n };\n\n BN.prototype.egcd = function egcd (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var x = this;\n var y = p.clone();\n\n if (x.negative !== 0) {\n x = x.umod(p);\n } else {\n x = x.clone();\n }\n\n // A * x + B * y = x\n var A = new BN(1);\n var B = new BN(0);\n\n // C * x + D * y = y\n var C = new BN(0);\n var D = new BN(1);\n\n var g = 0;\n\n while (x.isEven() && y.isEven()) {\n x.iushrn(1);\n y.iushrn(1);\n ++g;\n }\n\n var yp = y.clone();\n var xp = x.clone();\n\n while (!x.isZero()) {\n for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n x.iushrn(i);\n while (i-- > 0) {\n if (A.isOdd() || B.isOdd()) {\n A.iadd(yp);\n B.isub(xp);\n }\n\n A.iushrn(1);\n B.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n y.iushrn(j);\n while (j-- > 0) {\n if (C.isOdd() || D.isOdd()) {\n C.iadd(yp);\n D.isub(xp);\n }\n\n C.iushrn(1);\n D.iushrn(1);\n }\n }\n\n if (x.cmp(y) >= 0) {\n x.isub(y);\n A.isub(C);\n B.isub(D);\n } else {\n y.isub(x);\n C.isub(A);\n D.isub(B);\n }\n }\n\n return {\n a: C,\n b: D,\n gcd: y.iushln(g)\n };\n };\n\n // This is reduced incarnation of the binary EEA\n // above, designated to invert members of the\n // _prime_ fields F(p) at a maximal speed\n BN.prototype._invmp = function _invmp (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var a = this;\n var b = p.clone();\n\n if (a.negative !== 0) {\n a = a.umod(p);\n } else {\n a = a.clone();\n }\n\n var x1 = new BN(1);\n var x2 = new BN(0);\n\n var delta = b.clone();\n\n while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n a.iushrn(i);\n while (i-- > 0) {\n if (x1.isOdd()) {\n x1.iadd(delta);\n }\n\n x1.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n b.iushrn(j);\n while (j-- > 0) {\n if (x2.isOdd()) {\n x2.iadd(delta);\n }\n\n x2.iushrn(1);\n }\n }\n\n if (a.cmp(b) >= 0) {\n a.isub(b);\n x1.isub(x2);\n } else {\n b.isub(a);\n x2.isub(x1);\n }\n }\n\n var res;\n if (a.cmpn(1) === 0) {\n res = x1;\n } else {\n res = x2;\n }\n\n if (res.cmpn(0) < 0) {\n res.iadd(p);\n }\n\n return res;\n };\n\n BN.prototype.gcd = function gcd (num) {\n if (this.isZero()) return num.abs();\n if (num.isZero()) return this.abs();\n\n var a = this.clone();\n var b = num.clone();\n a.negative = 0;\n b.negative = 0;\n\n // Remove common factor of two\n for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n a.iushrn(1);\n b.iushrn(1);\n }\n\n do {\n while (a.isEven()) {\n a.iushrn(1);\n }\n while (b.isEven()) {\n b.iushrn(1);\n }\n\n var r = a.cmp(b);\n if (r < 0) {\n // Swap `a` and `b` to make `a` always bigger than `b`\n var t = a;\n a = b;\n b = t;\n } else if (r === 0 || b.cmpn(1) === 0) {\n break;\n }\n\n a.isub(b);\n } while (true);\n\n return b.iushln(shift);\n };\n\n // Invert number in the field F(num)\n BN.prototype.invm = function invm (num) {\n return this.egcd(num).a.umod(num);\n };\n\n BN.prototype.isEven = function isEven () {\n return (this.words[0] & 1) === 0;\n };\n\n BN.prototype.isOdd = function isOdd () {\n return (this.words[0] & 1) === 1;\n };\n\n // And first word and num\n BN.prototype.andln = function andln (num) {\n return this.words[0] & num;\n };\n\n // Increment at the bit position in-line\n BN.prototype.bincn = function bincn (bit) {\n assert(typeof bit === 'number');\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) {\n this._expand(s + 1);\n this.words[s] |= q;\n return this;\n }\n\n // Add bit and propagate, if needed\n var carry = q;\n for (var i = s; carry !== 0 && i < this.length; i++) {\n var w = this.words[i] | 0;\n w += carry;\n carry = w >>> 26;\n w &= 0x3ffffff;\n this.words[i] = w;\n }\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n return this;\n };\n\n BN.prototype.isZero = function isZero () {\n return this.length === 1 && this.words[0] === 0;\n };\n\n BN.prototype.cmpn = function cmpn (num) {\n var negative = num < 0;\n\n if (this.negative !== 0 && !negative) return -1;\n if (this.negative === 0 && negative) return 1;\n\n this._strip();\n\n var res;\n if (this.length > 1) {\n res = 1;\n } else {\n if (negative) {\n num = -num;\n }\n\n assert(num <= 0x3ffffff, 'Number is too big');\n\n var w = this.words[0] | 0;\n res = w === num ? 0 : w < num ? -1 : 1;\n }\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Compare two numbers and return:\n // 1 - if `this` > `num`\n // 0 - if `this` == `num`\n // -1 - if `this` < `num`\n BN.prototype.cmp = function cmp (num) {\n if (this.negative !== 0 && num.negative === 0) return -1;\n if (this.negative === 0 && num.negative !== 0) return 1;\n\n var res = this.ucmp(num);\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Unsigned comparison\n BN.prototype.ucmp = function ucmp (num) {\n // At this point both numbers have the same sign\n if (this.length > num.length) return 1;\n if (this.length < num.length) return -1;\n\n var res = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var a = this.words[i] | 0;\n var b = num.words[i] | 0;\n\n if (a === b) continue;\n if (a < b) {\n res = -1;\n } else if (a > b) {\n res = 1;\n }\n break;\n }\n return res;\n };\n\n BN.prototype.gtn = function gtn (num) {\n return this.cmpn(num) === 1;\n };\n\n BN.prototype.gt = function gt (num) {\n return this.cmp(num) === 1;\n };\n\n BN.prototype.gten = function gten (num) {\n return this.cmpn(num) >= 0;\n };\n\n BN.prototype.gte = function gte (num) {\n return this.cmp(num) >= 0;\n };\n\n BN.prototype.ltn = function ltn (num) {\n return this.cmpn(num) === -1;\n };\n\n BN.prototype.lt = function lt (num) {\n return this.cmp(num) === -1;\n };\n\n BN.prototype.lten = function lten (num) {\n return this.cmpn(num) <= 0;\n };\n\n BN.prototype.lte = function lte (num) {\n return this.cmp(num) <= 0;\n };\n\n BN.prototype.eqn = function eqn (num) {\n return this.cmpn(num) === 0;\n };\n\n BN.prototype.eq = function eq (num) {\n return this.cmp(num) === 0;\n };\n\n //\n // A reduce context, could be using montgomery or something better, depending\n // on the `m` itself.\n //\n BN.red = function red (num) {\n return new Red(num);\n };\n\n BN.prototype.toRed = function toRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n assert(this.negative === 0, 'red works only with positives');\n return ctx.convertTo(this)._forceRed(ctx);\n };\n\n BN.prototype.fromRed = function fromRed () {\n assert(this.red, 'fromRed works only with numbers in reduction context');\n return this.red.convertFrom(this);\n };\n\n BN.prototype._forceRed = function _forceRed (ctx) {\n this.red = ctx;\n return this;\n };\n\n BN.prototype.forceRed = function forceRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n return this._forceRed(ctx);\n };\n\n BN.prototype.redAdd = function redAdd (num) {\n assert(this.red, 'redAdd works only with red numbers');\n return this.red.add(this, num);\n };\n\n BN.prototype.redIAdd = function redIAdd (num) {\n assert(this.red, 'redIAdd works only with red numbers');\n return this.red.iadd(this, num);\n };\n\n BN.prototype.redSub = function redSub (num) {\n assert(this.red, 'redSub works only with red numbers');\n return this.red.sub(this, num);\n };\n\n BN.prototype.redISub = function redISub (num) {\n assert(this.red, 'redISub works only with red numbers');\n return this.red.isub(this, num);\n };\n\n BN.prototype.redShl = function redShl (num) {\n assert(this.red, 'redShl works only with red numbers');\n return this.red.shl(this, num);\n };\n\n BN.prototype.redMul = function redMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.mul(this, num);\n };\n\n BN.prototype.redIMul = function redIMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.imul(this, num);\n };\n\n BN.prototype.redSqr = function redSqr () {\n assert(this.red, 'redSqr works only with red numbers');\n this.red._verify1(this);\n return this.red.sqr(this);\n };\n\n BN.prototype.redISqr = function redISqr () {\n assert(this.red, 'redISqr works only with red numbers');\n this.red._verify1(this);\n return this.red.isqr(this);\n };\n\n // Square root over p\n BN.prototype.redSqrt = function redSqrt () {\n assert(this.red, 'redSqrt works only with red numbers');\n this.red._verify1(this);\n return this.red.sqrt(this);\n };\n\n BN.prototype.redInvm = function redInvm () {\n assert(this.red, 'redInvm works only with red numbers');\n this.red._verify1(this);\n return this.red.invm(this);\n };\n\n // Return negative clone of `this` % `red modulo`\n BN.prototype.redNeg = function redNeg () {\n assert(this.red, 'redNeg works only with red numbers');\n this.red._verify1(this);\n return this.red.neg(this);\n };\n\n BN.prototype.redPow = function redPow (num) {\n assert(this.red && !num.red, 'redPow(normalNum)');\n this.red._verify1(this);\n return this.red.pow(this, num);\n };\n\n // Prime numbers with efficient reduction\n var primes = {\n k256: null,\n p224: null,\n p192: null,\n p25519: null\n };\n\n // Pseudo-Mersenne prime\n function MPrime (name, p) {\n // P = 2 ^ N - K\n this.name = name;\n this.p = new BN(p, 16);\n this.n = this.p.bitLength();\n this.k = new BN(1).iushln(this.n).isub(this.p);\n\n this.tmp = this._tmp();\n }\n\n MPrime.prototype._tmp = function _tmp () {\n var tmp = new BN(null);\n tmp.words = new Array(Math.ceil(this.n / 13));\n return tmp;\n };\n\n MPrime.prototype.ireduce = function ireduce (num) {\n // Assumes that `num` is less than `P^2`\n // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n var r = num;\n var rlen;\n\n do {\n this.split(r, this.tmp);\n r = this.imulK(r);\n r = r.iadd(this.tmp);\n rlen = r.bitLength();\n } while (rlen > this.n);\n\n var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n if (cmp === 0) {\n r.words[0] = 0;\n r.length = 1;\n } else if (cmp > 0) {\n r.isub(this.p);\n } else {\n if (r.strip !== undefined) {\n // r is a BN v4 instance\n r.strip();\n } else {\n // r is a BN v5 instance\n r._strip();\n }\n }\n\n return r;\n };\n\n MPrime.prototype.split = function split (input, out) {\n input.iushrn(this.n, 0, out);\n };\n\n MPrime.prototype.imulK = function imulK (num) {\n return num.imul(this.k);\n };\n\n function K256 () {\n MPrime.call(\n this,\n 'k256',\n 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n }\n inherits(K256, MPrime);\n\n K256.prototype.split = function split (input, output) {\n // 256 = 9 * 26 + 22\n var mask = 0x3fffff;\n\n var outLen = Math.min(input.length, 9);\n for (var i = 0; i < outLen; i++) {\n output.words[i] = input.words[i];\n }\n output.length = outLen;\n\n if (input.length <= 9) {\n input.words[0] = 0;\n input.length = 1;\n return;\n }\n\n // Shift by 9 limbs\n var prev = input.words[9];\n output.words[output.length++] = prev & mask;\n\n for (i = 10; i < input.length; i++) {\n var next = input.words[i] | 0;\n input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n prev = next;\n }\n prev >>>= 22;\n input.words[i - 10] = prev;\n if (prev === 0 && input.length > 10) {\n input.length -= 10;\n } else {\n input.length -= 9;\n }\n };\n\n K256.prototype.imulK = function imulK (num) {\n // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n num.words[num.length] = 0;\n num.words[num.length + 1] = 0;\n num.length += 2;\n\n // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n var lo = 0;\n for (var i = 0; i < num.length; i++) {\n var w = num.words[i] | 0;\n lo += w * 0x3d1;\n num.words[i] = lo & 0x3ffffff;\n lo = w * 0x40 + ((lo / 0x4000000) | 0);\n }\n\n // Fast length reduction\n if (num.words[num.length - 1] === 0) {\n num.length--;\n if (num.words[num.length - 1] === 0) {\n num.length--;\n }\n }\n return num;\n };\n\n function P224 () {\n MPrime.call(\n this,\n 'p224',\n 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n }\n inherits(P224, MPrime);\n\n function P192 () {\n MPrime.call(\n this,\n 'p192',\n 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n }\n inherits(P192, MPrime);\n\n function P25519 () {\n // 2 ^ 255 - 19\n MPrime.call(\n this,\n '25519',\n '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n }\n inherits(P25519, MPrime);\n\n P25519.prototype.imulK = function imulK (num) {\n // K = 0x13\n var carry = 0;\n for (var i = 0; i < num.length; i++) {\n var hi = (num.words[i] | 0) * 0x13 + carry;\n var lo = hi & 0x3ffffff;\n hi >>>= 26;\n\n num.words[i] = lo;\n carry = hi;\n }\n if (carry !== 0) {\n num.words[num.length++] = carry;\n }\n return num;\n };\n\n // Exported mostly for testing purposes, use plain name instead\n BN._prime = function prime (name) {\n // Cached version of prime\n if (primes[name]) return primes[name];\n\n var prime;\n if (name === 'k256') {\n prime = new K256();\n } else if (name === 'p224') {\n prime = new P224();\n } else if (name === 'p192') {\n prime = new P192();\n } else if (name === 'p25519') {\n prime = new P25519();\n } else {\n throw new Error('Unknown prime ' + name);\n }\n primes[name] = prime;\n\n return prime;\n };\n\n //\n // Base reduction engine\n //\n function Red (m) {\n if (typeof m === 'string') {\n var prime = BN._prime(m);\n this.m = prime.p;\n this.prime = prime;\n } else {\n assert(m.gtn(1), 'modulus must be greater than 1');\n this.m = m;\n this.prime = null;\n }\n }\n\n Red.prototype._verify1 = function _verify1 (a) {\n assert(a.negative === 0, 'red works only with positives');\n assert(a.red, 'red works only with red numbers');\n };\n\n Red.prototype._verify2 = function _verify2 (a, b) {\n assert((a.negative | b.negative) === 0, 'red works only with positives');\n assert(a.red && a.red === b.red,\n 'red works only with red numbers');\n };\n\n Red.prototype.imod = function imod (a) {\n if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n\n move(a, a.umod(this.m)._forceRed(this));\n return a;\n };\n\n Red.prototype.neg = function neg (a) {\n if (a.isZero()) {\n return a.clone();\n }\n\n return this.m.sub(a)._forceRed(this);\n };\n\n Red.prototype.add = function add (a, b) {\n this._verify2(a, b);\n\n var res = a.add(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.iadd = function iadd (a, b) {\n this._verify2(a, b);\n\n var res = a.iadd(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res;\n };\n\n Red.prototype.sub = function sub (a, b) {\n this._verify2(a, b);\n\n var res = a.sub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.isub = function isub (a, b) {\n this._verify2(a, b);\n\n var res = a.isub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res;\n };\n\n Red.prototype.shl = function shl (a, num) {\n this._verify1(a);\n return this.imod(a.ushln(num));\n };\n\n Red.prototype.imul = function imul (a, b) {\n this._verify2(a, b);\n return this.imod(a.imul(b));\n };\n\n Red.prototype.mul = function mul (a, b) {\n this._verify2(a, b);\n return this.imod(a.mul(b));\n };\n\n Red.prototype.isqr = function isqr (a) {\n return this.imul(a, a.clone());\n };\n\n Red.prototype.sqr = function sqr (a) {\n return this.mul(a, a);\n };\n\n Red.prototype.sqrt = function sqrt (a) {\n if (a.isZero()) return a.clone();\n\n var mod3 = this.m.andln(3);\n assert(mod3 % 2 === 1);\n\n // Fast case\n if (mod3 === 3) {\n var pow = this.m.add(new BN(1)).iushrn(2);\n return this.pow(a, pow);\n }\n\n // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n //\n // Find Q and S, that Q * 2 ^ S = (P - 1)\n var q = this.m.subn(1);\n var s = 0;\n while (!q.isZero() && q.andln(1) === 0) {\n s++;\n q.iushrn(1);\n }\n assert(!q.isZero());\n\n var one = new BN(1).toRed(this);\n var nOne = one.redNeg();\n\n // Find quadratic non-residue\n // NOTE: Max is such because of generalized Riemann hypothesis.\n var lpow = this.m.subn(1).iushrn(1);\n var z = this.m.bitLength();\n z = new BN(2 * z * z).toRed(this);\n\n while (this.pow(z, lpow).cmp(nOne) !== 0) {\n z.redIAdd(nOne);\n }\n\n var c = this.pow(z, q);\n var r = this.pow(a, q.addn(1).iushrn(1));\n var t = this.pow(a, q);\n var m = s;\n while (t.cmp(one) !== 0) {\n var tmp = t;\n for (var i = 0; tmp.cmp(one) !== 0; i++) {\n tmp = tmp.redSqr();\n }\n assert(i < m);\n var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n r = r.redMul(b);\n c = b.redSqr();\n t = t.redMul(c);\n m = i;\n }\n\n return r;\n };\n\n Red.prototype.invm = function invm (a) {\n var inv = a._invmp(this.m);\n if (inv.negative !== 0) {\n inv.negative = 0;\n return this.imod(inv).redNeg();\n } else {\n return this.imod(inv);\n }\n };\n\n Red.prototype.pow = function pow (a, num) {\n if (num.isZero()) return new BN(1).toRed(this);\n if (num.cmpn(1) === 0) return a.clone();\n\n var windowSize = 4;\n var wnd = new Array(1 << windowSize);\n wnd[0] = new BN(1).toRed(this);\n wnd[1] = a;\n for (var i = 2; i < wnd.length; i++) {\n wnd[i] = this.mul(wnd[i - 1], a);\n }\n\n var res = wnd[0];\n var current = 0;\n var currentLen = 0;\n var start = num.bitLength() % 26;\n if (start === 0) {\n start = 26;\n }\n\n for (i = num.length - 1; i >= 0; i--) {\n var word = num.words[i];\n for (var j = start - 1; j >= 0; j--) {\n var bit = (word >> j) & 1;\n if (res !== wnd[0]) {\n res = this.sqr(res);\n }\n\n if (bit === 0 && current === 0) {\n currentLen = 0;\n continue;\n }\n\n current <<= 1;\n current |= bit;\n currentLen++;\n if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n res = this.mul(res, wnd[current]);\n currentLen = 0;\n current = 0;\n }\n start = 26;\n }\n\n return res;\n };\n\n Red.prototype.convertTo = function convertTo (num) {\n var r = num.umod(this.m);\n\n return r === num ? r.clone() : r;\n };\n\n Red.prototype.convertFrom = function convertFrom (num) {\n var res = num.clone();\n res.red = null;\n return res;\n };\n\n //\n // Montgomery method engine\n //\n\n BN.mont = function mont (num) {\n return new Mont(num);\n };\n\n function Mont (m) {\n Red.call(this, m);\n\n this.shift = this.m.bitLength();\n if (this.shift % 26 !== 0) {\n this.shift += 26 - (this.shift % 26);\n }\n\n this.r = new BN(1).iushln(this.shift);\n this.r2 = this.imod(this.r.sqr());\n this.rinv = this.r._invmp(this.m);\n\n this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n this.minv = this.minv.umod(this.r);\n this.minv = this.r.sub(this.minv);\n }\n inherits(Mont, Red);\n\n Mont.prototype.convertTo = function convertTo (num) {\n return this.imod(num.ushln(this.shift));\n };\n\n Mont.prototype.convertFrom = function convertFrom (num) {\n var r = this.imod(num.mul(this.rinv));\n r.red = null;\n return r;\n };\n\n Mont.prototype.imul = function imul (a, b) {\n if (a.isZero() || b.isZero()) {\n a.words[0] = 0;\n a.length = 1;\n return a;\n }\n\n var t = a.imul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.mul = function mul (a, b) {\n if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n var t = a.mul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.invm = function invm (a) {\n // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n var res = this.imod(a._invmp(this.m).mul(this.r2));\n return res._forceRed(this);\n };\n})(typeof module === 'undefined' || module, this);\n","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n// a duplex stream is just a stream that is both readable and writable.\n// Since JS doesn't have multiple prototypal inheritance, this class\n// prototypally inherits from Readable, and then parasitically from\n// Writable.\n\n'use strict';\n\n/*<replacement>*/\n\nvar pna = require('process-nextick-args');\n/*</replacement>*/\n\n/*<replacement>*/\nvar objectKeys = Object.keys || function (obj) {\n var keys = [];\n for (var key in obj) {\n keys.push(key);\n }return keys;\n};\n/*</replacement>*/\n\nmodule.exports = Duplex;\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\nvar Readable = require('./_stream_readable');\nvar Writable = require('./_stream_writable');\n\nutil.inherits(Duplex, Readable);\n\n{\n // avoid scope creep, the keys array can then be collected\n var keys = objectKeys(Writable.prototype);\n for (var v = 0; v < keys.length; v++) {\n var method = keys[v];\n if (!Duplex.prototype[method]) Duplex.prototype[method] = Writable.prototype[method];\n }\n}\n\nfunction Duplex(options) {\n if (!(this instanceof Duplex)) return new Duplex(options);\n\n Readable.call(this, options);\n Writable.call(this, options);\n\n if (options && options.readable === false) this.readable = false;\n\n if (options && options.writable === false) this.writable = false;\n\n this.allowHalfOpen = true;\n if (options && options.allowHalfOpen === false) this.allowHalfOpen = false;\n\n this.once('end', onend);\n}\n\nObject.defineProperty(Duplex.prototype, 'writableHighWaterMark', {\n // making it explicit this property is not enumerable\n // because otherwise some prototype manipulation in\n // userland will fail\n enumerable: false,\n get: function () {\n return this._writableState.highWaterMark;\n }\n});\n\n// the no-half-open enforcer\nfunction onend() {\n // if we allow half-open state, or if the writable side ended,\n // then we're ok.\n if (this.allowHalfOpen || this._writableState.ended) return;\n\n // no more data can be written.\n // But allow more writes to happen in this tick.\n pna.nextTick(onEndNT, this);\n}\n\nfunction onEndNT(self) {\n self.end();\n}\n\nObject.defineProperty(Duplex.prototype, 'destroyed', {\n get: function () {\n if (this._readableState === undefined || this._writableState === undefined) {\n return false;\n }\n return this._readableState.destroyed && this._writableState.destroyed;\n },\n set: function (value) {\n // we ignore the value if the stream\n // has not been initialized yet\n if (this._readableState === undefined || this._writableState === undefined) {\n return;\n }\n\n // backward compatibility, the user is explicitly\n // managing destroyed\n this._readableState.destroyed = value;\n this._writableState.destroyed = value;\n }\n});\n\nDuplex.prototype._destroy = function (err, cb) {\n this.push(null);\n this.end();\n\n pna.nextTick(cb, err);\n};","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n'use strict';\n\n/*<replacement>*/\n\nvar pna = require('process-nextick-args');\n/*</replacement>*/\n\nmodule.exports = Readable;\n\n/*<replacement>*/\nvar isArray = require('isarray');\n/*</replacement>*/\n\n/*<replacement>*/\nvar Duplex;\n/*</replacement>*/\n\nReadable.ReadableState = ReadableState;\n\n/*<replacement>*/\nvar EE = require('events').EventEmitter;\n\nvar EElistenerCount = function (emitter, type) {\n return emitter.listeners(type).length;\n};\n/*</replacement>*/\n\n/*<replacement>*/\nvar Stream = require('./internal/streams/stream');\n/*</replacement>*/\n\n/*<replacement>*/\n\nvar Buffer = require('safe-buffer').Buffer;\nvar OurUint8Array = (typeof global !== 'undefined' ? global : typeof window !== 'undefined' ? window : typeof self !== 'undefined' ? self : {}).Uint8Array || function () {};\nfunction _uint8ArrayToBuffer(chunk) {\n return Buffer.from(chunk);\n}\nfunction _isUint8Array(obj) {\n return Buffer.isBuffer(obj) || obj instanceof OurUint8Array;\n}\n\n/*</replacement>*/\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\n/*<replacement>*/\nvar debugUtil = require('util');\nvar debug = void 0;\nif (debugUtil && debugUtil.debuglog) {\n debug = debugUtil.debuglog('stream');\n} else {\n debug = function () {};\n}\n/*</replacement>*/\n\nvar BufferList = require('./internal/streams/BufferList');\nvar destroyImpl = require('./internal/streams/destroy');\nvar StringDecoder;\n\nutil.inherits(Readable, Stream);\n\nvar kProxyEvents = ['error', 'close', 'destroy', 'pause', 'resume'];\n\nfunction prependListener(emitter, event, fn) {\n // Sadly this is not cacheable as some libraries bundle their own\n // event emitter implementation with them.\n if (typeof emitter.prependListener === 'function') return emitter.prependListener(event, fn);\n\n // This is a hack to make sure that our error handler is attached before any\n // userland ones. NEVER DO THIS. This is here only because this code needs\n // to continue to work with older versions of Node.js that do not include\n // the prependListener() method. The goal is to eventually remove this hack.\n if (!emitter._events || !emitter._events[event]) emitter.on(event, fn);else if (isArray(emitter._events[event])) emitter._events[event].unshift(fn);else emitter._events[event] = [fn, emitter._events[event]];\n}\n\nfunction ReadableState(options, stream) {\n Duplex = Duplex || require('./_stream_duplex');\n\n options = options || {};\n\n // Duplex streams are both readable and writable, but share\n // the same options object.\n // However, some cases require setting options to different\n // values for the readable and the writable sides of the duplex stream.\n // These options can be provided separately as readableXXX and writableXXX.\n var isDuplex = stream instanceof Duplex;\n\n // object stream flag. Used to make read(n) ignore n and to\n // make all the buffer merging and length checks go away\n this.objectMode = !!options.objectMode;\n\n if (isDuplex) this.objectMode = this.objectMode || !!options.readableObjectMode;\n\n // the point at which it stops calling _read() to fill the buffer\n // Note: 0 is a valid value, means \"don't call _read preemptively ever\"\n var hwm = options.highWaterMark;\n var readableHwm = options.readableHighWaterMark;\n var defaultHwm = this.objectMode ? 16 : 16 * 1024;\n\n if (hwm || hwm === 0) this.highWaterMark = hwm;else if (isDuplex && (readableHwm || readableHwm === 0)) this.highWaterMark = readableHwm;else this.highWaterMark = defaultHwm;\n\n // cast to ints.\n this.highWaterMark = Math.floor(this.highWaterMark);\n\n // A linked list is used to store data chunks instead of an array because the\n // linked list can remove elements from the beginning faster than\n // array.shift()\n this.buffer = new BufferList();\n this.length = 0;\n this.pipes = null;\n this.pipesCount = 0;\n this.flowing = null;\n this.ended = false;\n this.endEmitted = false;\n this.reading = false;\n\n // a flag to be able to tell if the event 'readable'/'data' is emitted\n // immediately, or on a later tick. We set this to true at first, because\n // any actions that shouldn't happen until \"later\" should generally also\n // not happen before the first read call.\n this.sync = true;\n\n // whenever we return null, then we set a flag to say\n // that we're awaiting a 'readable' event emission.\n this.needReadable = false;\n this.emittedReadable = false;\n this.readableListening = false;\n this.resumeScheduled = false;\n\n // has it been destroyed\n this.destroyed = false;\n\n // Crypto is kind of old and crusty. Historically, its default string\n // encoding is 'binary' so we have to make this configurable.\n // Everything else in the universe uses 'utf8', though.\n this.defaultEncoding = options.defaultEncoding || 'utf8';\n\n // the number of writers that are awaiting a drain event in .pipe()s\n this.awaitDrain = 0;\n\n // if true, a maybeReadMore has been scheduled\n this.readingMore = false;\n\n this.decoder = null;\n this.encoding = null;\n if (options.encoding) {\n if (!StringDecoder) StringDecoder = require('string_decoder/').StringDecoder;\n this.decoder = new StringDecoder(options.encoding);\n this.encoding = options.encoding;\n }\n}\n\nfunction Readable(options) {\n Duplex = Duplex || require('./_stream_duplex');\n\n if (!(this instanceof Readable)) return new Readable(options);\n\n this._readableState = new ReadableState(options, this);\n\n // legacy\n this.readable = true;\n\n if (options) {\n if (typeof options.read === 'function') this._read = options.read;\n\n if (typeof options.destroy === 'function') this._destroy = options.destroy;\n }\n\n Stream.call(this);\n}\n\nObject.defineProperty(Readable.prototype, 'destroyed', {\n get: function () {\n if (this._readableState === undefined) {\n return false;\n }\n return this._readableState.destroyed;\n },\n set: function (value) {\n // we ignore the value if the stream\n // has not been initialized yet\n if (!this._readableState) {\n return;\n }\n\n // backward compatibility, the user is explicitly\n // managing destroyed\n this._readableState.destroyed = value;\n }\n});\n\nReadable.prototype.destroy = destroyImpl.destroy;\nReadable.prototype._undestroy = destroyImpl.undestroy;\nReadable.prototype._destroy = function (err, cb) {\n this.push(null);\n cb(err);\n};\n\n// Manually shove something into the read() buffer.\n// This returns true if the highWaterMark has not been hit yet,\n// similar to how Writable.write() returns true if you should\n// write() some more.\nReadable.prototype.push = function (chunk, encoding) {\n var state = this._readableState;\n var skipChunkCheck;\n\n if (!state.objectMode) {\n if (typeof chunk === 'string') {\n encoding = encoding || state.defaultEncoding;\n if (encoding !== state.encoding) {\n chunk = Buffer.from(chunk, encoding);\n encoding = '';\n }\n skipChunkCheck = true;\n }\n } else {\n skipChunkCheck = true;\n }\n\n return readableAddChunk(this, chunk, encoding, false, skipChunkCheck);\n};\n\n// Unshift should *always* be something directly out of read()\nReadable.prototype.unshift = function (chunk) {\n return readableAddChunk(this, chunk, null, true, false);\n};\n\nfunction readableAddChunk(stream, chunk, encoding, addToFront, skipChunkCheck) {\n var state = stream._readableState;\n if (chunk === null) {\n state.reading = false;\n onEofChunk(stream, state);\n } else {\n var er;\n if (!skipChunkCheck) er = chunkInvalid(state, chunk);\n if (er) {\n stream.emit('error', er);\n } else if (state.objectMode || chunk && chunk.length > 0) {\n if (typeof chunk !== 'string' && !state.objectMode && Object.getPrototypeOf(chunk) !== Buffer.prototype) {\n chunk = _uint8ArrayToBuffer(chunk);\n }\n\n if (addToFront) {\n if (state.endEmitted) stream.emit('error', new Error('stream.unshift() after end event'));else addChunk(stream, state, chunk, true);\n } else if (state.ended) {\n stream.emit('error', new Error('stream.push() after EOF'));\n } else {\n state.reading = false;\n if (state.decoder && !encoding) {\n chunk = state.decoder.write(chunk);\n if (state.objectMode || chunk.length !== 0) addChunk(stream, state, chunk, false);else maybeReadMore(stream, state);\n } else {\n addChunk(stream, state, chunk, false);\n }\n }\n } else if (!addToFront) {\n state.reading = false;\n }\n }\n\n return needMoreData(state);\n}\n\nfunction addChunk(stream, state, chunk, addToFront) {\n if (state.flowing && state.length === 0 && !state.sync) {\n stream.emit('data', chunk);\n stream.read(0);\n } else {\n // update the buffer info.\n state.length += state.objectMode ? 1 : chunk.length;\n if (addToFront) state.buffer.unshift(chunk);else state.buffer.push(chunk);\n\n if (state.needReadable) emitReadable(stream);\n }\n maybeReadMore(stream, state);\n}\n\nfunction chunkInvalid(state, chunk) {\n var er;\n if (!_isUint8Array(chunk) && typeof chunk !== 'string' && chunk !== undefined && !state.objectMode) {\n er = new TypeError('Invalid non-string/buffer chunk');\n }\n return er;\n}\n\n// if it's past the high water mark, we can push in some more.\n// Also, if we have no data yet, we can stand some\n// more bytes. This is to work around cases where hwm=0,\n// such as the repl. Also, if the push() triggered a\n// readable event, and the user called read(largeNumber) such that\n// needReadable was set, then we ought to push more, so that another\n// 'readable' event will be triggered.\nfunction needMoreData(state) {\n return !state.ended && (state.needReadable || state.length < state.highWaterMark || state.length === 0);\n}\n\nReadable.prototype.isPaused = function () {\n return this._readableState.flowing === false;\n};\n\n// backwards compatibility.\nReadable.prototype.setEncoding = function (enc) {\n if (!StringDecoder) StringDecoder = require('string_decoder/').StringDecoder;\n this._readableState.decoder = new StringDecoder(enc);\n this._readableState.encoding = enc;\n return this;\n};\n\n// Don't raise the hwm > 8MB\nvar MAX_HWM = 0x800000;\nfunction computeNewHighWaterMark(n) {\n if (n >= MAX_HWM) {\n n = MAX_HWM;\n } else {\n // Get the next highest power of 2 to prevent increasing hwm excessively in\n // tiny amounts\n n--;\n n |= n >>> 1;\n n |= n >>> 2;\n n |= n >>> 4;\n n |= n >>> 8;\n n |= n >>> 16;\n n++;\n }\n return n;\n}\n\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction howMuchToRead(n, state) {\n if (n <= 0 || state.length === 0 && state.ended) return 0;\n if (state.objectMode) return 1;\n if (n !== n) {\n // Only flow one buffer at a time\n if (state.flowing && state.length) return state.buffer.head.data.length;else return state.length;\n }\n // If we're asking for more than the current hwm, then raise the hwm.\n if (n > state.highWaterMark) state.highWaterMark = computeNewHighWaterMark(n);\n if (n <= state.length) return n;\n // Don't have enough\n if (!state.ended) {\n state.needReadable = true;\n return 0;\n }\n return state.length;\n}\n\n// you can override either this method, or the async _read(n) below.\nReadable.prototype.read = function (n) {\n debug('read', n);\n n = parseInt(n, 10);\n var state = this._readableState;\n var nOrig = n;\n\n if (n !== 0) state.emittedReadable = false;\n\n // if we're doing read(0) to trigger a readable event, but we\n // already have a bunch of data in the buffer, then just trigger\n // the 'readable' event and move on.\n if (n === 0 && state.needReadable && (state.length >= state.highWaterMark || state.ended)) {\n debug('read: emitReadable', state.length, state.ended);\n if (state.length === 0 && state.ended) endReadable(this);else emitReadable(this);\n return null;\n }\n\n n = howMuchToRead(n, state);\n\n // if we've ended, and we're now clear, then finish it up.\n if (n === 0 && state.ended) {\n if (state.length === 0) endReadable(this);\n return null;\n }\n\n // All the actual chunk generation logic needs to be\n // *below* the call to _read. The reason is that in certain\n // synthetic stream cases, such as passthrough streams, _read\n // may be a completely synchronous operation which may change\n // the state of the read buffer, providing enough data when\n // before there was *not* enough.\n //\n // So, the steps are:\n // 1. Figure out what the state of things will be after we do\n // a read from the buffer.\n //\n // 2. If that resulting state will trigger a _read, then call _read.\n // Note that this may be asynchronous, or synchronous. Yes, it is\n // deeply ugly to write APIs this way, but that still doesn't mean\n // that the Readable class should behave improperly, as streams are\n // designed to be sync/async agnostic.\n // Take note if the _read call is sync or async (ie, if the read call\n // has returned yet), so that we know whether or not it's safe to emit\n // 'readable' etc.\n //\n // 3. Actually pull the requested chunks out of the buffer and return.\n\n // if we need a readable event, then we need to do some reading.\n var doRead = state.needReadable;\n debug('need readable', doRead);\n\n // if we currently have less than the highWaterMark, then also read some\n if (state.length === 0 || state.length - n < state.highWaterMark) {\n doRead = true;\n debug('length less than watermark', doRead);\n }\n\n // however, if we've ended, then there's no point, and if we're already\n // reading, then it's unnecessary.\n if (state.ended || state.reading) {\n doRead = false;\n debug('reading or ended', doRead);\n } else if (doRead) {\n debug('do read');\n state.reading = true;\n state.sync = true;\n // if the length is currently zero, then we *need* a readable event.\n if (state.length === 0) state.needReadable = true;\n // call internal read method\n this._read(state.highWaterMark);\n state.sync = false;\n // If _read pushed data synchronously, then `reading` will be false,\n // and we need to re-evaluate how much data we can return to the user.\n if (!state.reading) n = howMuchToRead(nOrig, state);\n }\n\n var ret;\n if (n > 0) ret = fromList(n, state);else ret = null;\n\n if (ret === null) {\n state.needReadable = true;\n n = 0;\n } else {\n state.length -= n;\n }\n\n if (state.length === 0) {\n // If we have nothing in the buffer, then we want to know\n // as soon as we *do* get something into the buffer.\n if (!state.ended) state.needReadable = true;\n\n // If we tried to read() past the EOF, then emit end on the next tick.\n if (nOrig !== n && state.ended) endReadable(this);\n }\n\n if (ret !== null) this.emit('data', ret);\n\n return ret;\n};\n\nfunction onEofChunk(stream, state) {\n if (state.ended) return;\n if (state.decoder) {\n var chunk = state.decoder.end();\n if (chunk && chunk.length) {\n state.buffer.push(chunk);\n state.length += state.objectMode ? 1 : chunk.length;\n }\n }\n state.ended = true;\n\n // emit 'readable' now to make sure it gets picked up.\n emitReadable(stream);\n}\n\n// Don't emit readable right away in sync mode, because this can trigger\n// another read() call => stack overflow. This way, it might trigger\n// a nextTick recursion warning, but that's not so bad.\nfunction emitReadable(stream) {\n var state = stream._readableState;\n state.needReadable = false;\n if (!state.emittedReadable) {\n debug('emitReadable', state.flowing);\n state.emittedReadable = true;\n if (state.sync) pna.nextTick(emitReadable_, stream);else emitReadable_(stream);\n }\n}\n\nfunction emitReadable_(stream) {\n debug('emit readable');\n stream.emit('readable');\n flow(stream);\n}\n\n// at this point, the user has presumably seen the 'readable' event,\n// and called read() to consume some data. that may have triggered\n// in turn another _read(n) call, in which case reading = true if\n// it's in progress.\n// However, if we're not ended, or reading, and the length < hwm,\n// then go ahead and try to read some more preemptively.\nfunction maybeReadMore(stream, state) {\n if (!state.readingMore) {\n state.readingMore = true;\n pna.nextTick(maybeReadMore_, stream, state);\n }\n}\n\nfunction maybeReadMore_(stream, state) {\n var len = state.length;\n while (!state.reading && !state.flowing && !state.ended && state.length < state.highWaterMark) {\n debug('maybeReadMore read 0');\n stream.read(0);\n if (len === state.length)\n // didn't get any data, stop spinning.\n break;else len = state.length;\n }\n state.readingMore = false;\n}\n\n// abstract method. to be overridden in specific implementation classes.\n// call cb(er, data) where data is <= n in length.\n// for virtual (non-string, non-buffer) streams, \"length\" is somewhat\n// arbitrary, and perhaps not very meaningful.\nReadable.prototype._read = function (n) {\n this.emit('error', new Error('_read() is not implemented'));\n};\n\nReadable.prototype.pipe = function (dest, pipeOpts) {\n var src = this;\n var state = this._readableState;\n\n switch (state.pipesCount) {\n case 0:\n state.pipes = dest;\n break;\n case 1:\n state.pipes = [state.pipes, dest];\n break;\n default:\n state.pipes.push(dest);\n break;\n }\n state.pipesCount += 1;\n debug('pipe count=%d opts=%j', state.pipesCount, pipeOpts);\n\n var doEnd = (!pipeOpts || pipeOpts.end !== false) && dest !== process.stdout && dest !== process.stderr;\n\n var endFn = doEnd ? onend : unpipe;\n if (state.endEmitted) pna.nextTick(endFn);else src.once('end', endFn);\n\n dest.on('unpipe', onunpipe);\n function onunpipe(readable, unpipeInfo) {\n debug('onunpipe');\n if (readable === src) {\n if (unpipeInfo && unpipeInfo.hasUnpiped === false) {\n unpipeInfo.hasUnpiped = true;\n cleanup();\n }\n }\n }\n\n function onend() {\n debug('onend');\n dest.end();\n }\n\n // when the dest drains, it reduces the awaitDrain counter\n // on the source. This would be more elegant with a .once()\n // handler in flow(), but adding and removing repeatedly is\n // too slow.\n var ondrain = pipeOnDrain(src);\n dest.on('drain', ondrain);\n\n var cleanedUp = false;\n function cleanup() {\n debug('cleanup');\n // cleanup event handlers once the pipe is broken\n dest.removeListener('close', onclose);\n dest.removeListener('finish', onfinish);\n dest.removeListener('drain', ondrain);\n dest.removeListener('error', onerror);\n dest.removeListener('unpipe', onunpipe);\n src.removeListener('end', onend);\n src.removeListener('end', unpipe);\n src.removeListener('data', ondata);\n\n cleanedUp = true;\n\n // if the reader is waiting for a drain event from this\n // specific writer, then it would cause it to never start\n // flowing again.\n // So, if this is awaiting a drain, then we just call it now.\n // If we don't know, then assume that we are waiting for one.\n if (state.awaitDrain && (!dest._writableState || dest._writableState.needDrain)) ondrain();\n }\n\n // If the user pushes more data while we're writing to dest then we'll end up\n // in ondata again. However, we only want to increase awaitDrain once because\n // dest will only emit one 'drain' event for the multiple writes.\n // => Introduce a guard on increasing awaitDrain.\n var increasedAwaitDrain = false;\n src.on('data', ondata);\n function ondata(chunk) {\n debug('ondata');\n increasedAwaitDrain = false;\n var ret = dest.write(chunk);\n if (false === ret && !increasedAwaitDrain) {\n // If the user unpiped during `dest.write()`, it is possible\n // to get stuck in a permanently paused state if that write\n // also returned false.\n // => Check whether `dest` is still a piping destination.\n if ((state.pipesCount === 1 && state.pipes === dest || state.pipesCount > 1 && indexOf(state.pipes, dest) !== -1) && !cleanedUp) {\n debug('false write response, pause', state.awaitDrain);\n state.awaitDrain++;\n increasedAwaitDrain = true;\n }\n src.pause();\n }\n }\n\n // if the dest has an error, then stop piping into it.\n // however, don't suppress the throwing behavior for this.\n function onerror(er) {\n debug('onerror', er);\n unpipe();\n dest.removeListener('error', onerror);\n if (EElistenerCount(dest, 'error') === 0) dest.emit('error', er);\n }\n\n // Make sure our error handler is attached before userland ones.\n prependListener(dest, 'error', onerror);\n\n // Both close and finish should trigger unpipe, but only once.\n function onclose() {\n dest.removeListener('finish', onfinish);\n unpipe();\n }\n dest.once('close', onclose);\n function onfinish() {\n debug('onfinish');\n dest.removeListener('close', onclose);\n unpipe();\n }\n dest.once('finish', onfinish);\n\n function unpipe() {\n debug('unpipe');\n src.unpipe(dest);\n }\n\n // tell the dest that it's being piped to\n dest.emit('pipe', src);\n\n // start the flow if it hasn't been started already.\n if (!state.flowing) {\n debug('pipe resume');\n src.resume();\n }\n\n return dest;\n};\n\nfunction pipeOnDrain(src) {\n return function () {\n var state = src._readableState;\n debug('pipeOnDrain', state.awaitDrain);\n if (state.awaitDrain) state.awaitDrain--;\n if (state.awaitDrain === 0 && EElistenerCount(src, 'data')) {\n state.flowing = true;\n flow(src);\n }\n };\n}\n\nReadable.prototype.unpipe = function (dest) {\n var state = this._readableState;\n var unpipeInfo = { hasUnpiped: false };\n\n // if we're not piping anywhere, then do nothing.\n if (state.pipesCount === 0) return this;\n\n // just one destination. most common case.\n if (state.pipesCount === 1) {\n // passed in one, but it's not the right one.\n if (dest && dest !== state.pipes) return this;\n\n if (!dest) dest = state.pipes;\n\n // got a match.\n state.pipes = null;\n state.pipesCount = 0;\n state.flowing = false;\n if (dest) dest.emit('unpipe', this, unpipeInfo);\n return this;\n }\n\n // slow case. multiple pipe destinations.\n\n if (!dest) {\n // remove all.\n var dests = state.pipes;\n var len = state.pipesCount;\n state.pipes = null;\n state.pipesCount = 0;\n state.flowing = false;\n\n for (var i = 0; i < len; i++) {\n dests[i].emit('unpipe', this, { hasUnpiped: false });\n }return this;\n }\n\n // try to find the right one.\n var index = indexOf(state.pipes, dest);\n if (index === -1) return this;\n\n state.pipes.splice(index, 1);\n state.pipesCount -= 1;\n if (state.pipesCount === 1) state.pipes = state.pipes[0];\n\n dest.emit('unpipe', this, unpipeInfo);\n\n return this;\n};\n\n// set up data events if they are asked for\n// Ensure readable listeners eventually get something\nReadable.prototype.on = function (ev, fn) {\n var res = Stream.prototype.on.call(this, ev, fn);\n\n if (ev === 'data') {\n // Start flowing on next tick if stream isn't explicitly paused\n if (this._readableState.flowing !== false) this.resume();\n } else if (ev === 'readable') {\n var state = this._readableState;\n if (!state.endEmitted && !state.readableListening) {\n state.readableListening = state.needReadable = true;\n state.emittedReadable = false;\n if (!state.reading) {\n pna.nextTick(nReadingNextTick, this);\n } else if (state.length) {\n emitReadable(this);\n }\n }\n }\n\n return res;\n};\nReadable.prototype.addListener = Readable.prototype.on;\n\nfunction nReadingNextTick(self) {\n debug('readable nexttick read 0');\n self.read(0);\n}\n\n// pause() and resume() are remnants of the legacy readable stream API\n// If the user uses them, then switch into old mode.\nReadable.prototype.resume = function () {\n var state = this._readableState;\n if (!state.flowing) {\n debug('resume');\n state.flowing = true;\n resume(this, state);\n }\n return this;\n};\n\nfunction resume(stream, state) {\n if (!state.resumeScheduled) {\n state.resumeScheduled = true;\n pna.nextTick(resume_, stream, state);\n }\n}\n\nfunction resume_(stream, state) {\n if (!state.reading) {\n debug('resume read 0');\n stream.read(0);\n }\n\n state.resumeScheduled = false;\n state.awaitDrain = 0;\n stream.emit('resume');\n flow(stream);\n if (state.flowing && !state.reading) stream.read(0);\n}\n\nReadable.prototype.pause = function () {\n debug('call pause flowing=%j', this._readableState.flowing);\n if (false !== this._readableState.flowing) {\n debug('pause');\n this._readableState.flowing = false;\n this.emit('pause');\n }\n return this;\n};\n\nfunction flow(stream) {\n var state = stream._readableState;\n debug('flow', state.flowing);\n while (state.flowing && stream.read() !== null) {}\n}\n\n// wrap an old-style stream as the async data source.\n// This is *not* part of the readable stream interface.\n// It is an ugly unfortunate mess of history.\nReadable.prototype.wrap = function (stream) {\n var _this = this;\n\n var state = this._readableState;\n var paused = false;\n\n stream.on('end', function () {\n debug('wrapped end');\n if (state.decoder && !state.ended) {\n var chunk = state.decoder.end();\n if (chunk && chunk.length) _this.push(chunk);\n }\n\n _this.push(null);\n });\n\n stream.on('data', function (chunk) {\n debug('wrapped data');\n if (state.decoder) chunk = state.decoder.write(chunk);\n\n // don't skip over falsy values in objectMode\n if (state.objectMode && (chunk === null || chunk === undefined)) return;else if (!state.objectMode && (!chunk || !chunk.length)) return;\n\n var ret = _this.push(chunk);\n if (!ret) {\n paused = true;\n stream.pause();\n }\n });\n\n // proxy all the other methods.\n // important when wrapping filters and duplexes.\n for (var i in stream) {\n if (this[i] === undefined && typeof stream[i] === 'function') {\n this[i] = function (method) {\n return function () {\n return stream[method].apply(stream, arguments);\n };\n }(i);\n }\n }\n\n // proxy certain important events.\n for (var n = 0; n < kProxyEvents.length; n++) {\n stream.on(kProxyEvents[n], this.emit.bind(this, kProxyEvents[n]));\n }\n\n // when we try to consume some more bytes, simply unpause the\n // underlying stream.\n this._read = function (n) {\n debug('wrapped _read', n);\n if (paused) {\n paused = false;\n stream.resume();\n }\n };\n\n return this;\n};\n\nObject.defineProperty(Readable.prototype, 'readableHighWaterMark', {\n // making it explicit this property is not enumerable\n // because otherwise some prototype manipulation in\n // userland will fail\n enumerable: false,\n get: function () {\n return this._readableState.highWaterMark;\n }\n});\n\n// exposed for testing purposes only.\nReadable._fromList = fromList;\n\n// Pluck off n bytes from an array of buffers.\n// Length is the combined lengths of all the buffers in the list.\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction fromList(n, state) {\n // nothing buffered\n if (state.length === 0) return null;\n\n var ret;\n if (state.objectMode) ret = state.buffer.shift();else if (!n || n >= state.length) {\n // read it all, truncate the list\n if (state.decoder) ret = state.buffer.join('');else if (state.buffer.length === 1) ret = state.buffer.head.data;else ret = state.buffer.concat(state.length);\n state.buffer.clear();\n } else {\n // read part of list\n ret = fromListPartial(n, state.buffer, state.decoder);\n }\n\n return ret;\n}\n\n// Extracts only enough buffered data to satisfy the amount requested.\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction fromListPartial(n, list, hasStrings) {\n var ret;\n if (n < list.head.data.length) {\n // slice is the same for buffers and strings\n ret = list.head.data.slice(0, n);\n list.head.data = list.head.data.slice(n);\n } else if (n === list.head.data.length) {\n // first chunk is a perfect match\n ret = list.shift();\n } else {\n // result spans more than one buffer\n ret = hasStrings ? copyFromBufferString(n, list) : copyFromBuffer(n, list);\n }\n return ret;\n}\n\n// Copies a specified amount of characters from the list of buffered data\n// chunks.\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction copyFromBufferString(n, list) {\n var p = list.head;\n var c = 1;\n var ret = p.data;\n n -= ret.length;\n while (p = p.next) {\n var str = p.data;\n var nb = n > str.length ? str.length : n;\n if (nb === str.length) ret += str;else ret += str.slice(0, n);\n n -= nb;\n if (n === 0) {\n if (nb === str.length) {\n ++c;\n if (p.next) list.head = p.next;else list.head = list.tail = null;\n } else {\n list.head = p;\n p.data = str.slice(nb);\n }\n break;\n }\n ++c;\n }\n list.length -= c;\n return ret;\n}\n\n// Copies a specified amount of bytes from the list of buffered data chunks.\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction copyFromBuffer(n, list) {\n var ret = Buffer.allocUnsafe(n);\n var p = list.head;\n var c = 1;\n p.data.copy(ret);\n n -= p.data.length;\n while (p = p.next) {\n var buf = p.data;\n var nb = n > buf.length ? buf.length : n;\n buf.copy(ret, ret.length - n, 0, nb);\n n -= nb;\n if (n === 0) {\n if (nb === buf.length) {\n ++c;\n if (p.next) list.head = p.next;else list.head = list.tail = null;\n } else {\n list.head = p;\n p.data = buf.slice(nb);\n }\n break;\n }\n ++c;\n }\n list.length -= c;\n return ret;\n}\n\nfunction endReadable(stream) {\n var state = stream._readableState;\n\n // If we get here before consuming all the bytes, then that is a\n // bug in node. Should never happen.\n if (state.length > 0) throw new Error('\"endReadable()\" called on non-empty stream');\n\n if (!state.endEmitted) {\n state.ended = true;\n pna.nextTick(endReadableNT, state, stream);\n }\n}\n\nfunction endReadableNT(state, stream) {\n // Check that we didn't get one last unshift.\n if (!state.endEmitted && state.length === 0) {\n state.endEmitted = true;\n stream.readable = false;\n stream.emit('end');\n }\n}\n\nfunction indexOf(xs, x) {\n for (var i = 0, l = xs.length; i < l; i++) {\n if (xs[i] === x) return i;\n }\n return -1;\n}","var toString = {}.toString;\n\nmodule.exports = Array.isArray || function (arr) {\n return toString.call(arr) == '[object Array]';\n};\n","'use strict';\n\n// much of this based on https://github.com/indutny/self-signed/blob/gh-pages/lib/rsa.js\nvar Buffer = require('safe-buffer').Buffer;\nvar createHmac = require('create-hmac');\nvar crt = require('browserify-rsa');\nvar EC = require('elliptic').ec;\nvar BN = require('bn.js');\nvar parseKeys = require('parse-asn1');\nvar curves = require('./curves.json');\n\nvar RSA_PKCS1_PADDING = 1;\n\nfunction sign(hash, key, hashType, signType, tag) {\n var priv = parseKeys(key);\n if (priv.curve) {\n // rsa keys can be interpreted as ecdsa ones in openssl\n if (signType !== 'ecdsa' && signType !== 'ecdsa/rsa') { throw new Error('wrong private key type'); }\n return ecSign(hash, priv);\n } else if (priv.type === 'dsa') {\n if (signType !== 'dsa') { throw new Error('wrong private key type'); }\n return dsaSign(hash, priv, hashType);\n }\n if (signType !== 'rsa' && signType !== 'ecdsa/rsa') { throw new Error('wrong private key type'); }\n if (key.padding !== undefined && key.padding !== RSA_PKCS1_PADDING) { throw new Error('illegal or unsupported padding mode'); }\n\n hash = Buffer.concat([tag, hash]);\n var len = priv.modulus.byteLength();\n var pad = [0, 1];\n while (hash.length + pad.length + 1 < len) { pad.push(0xff); }\n pad.push(0x00);\n var i = -1;\n while (++i < hash.length) { pad.push(hash[i]); }\n\n var out = crt(pad, priv);\n return out;\n}\n\nfunction ecSign(hash, priv) {\n var curveId = curves[priv.curve.join('.')];\n if (!curveId) { throw new Error('unknown curve ' + priv.curve.join('.')); }\n\n var curve = new EC(curveId);\n var key = curve.keyFromPrivate(priv.privateKey);\n var out = key.sign(hash);\n\n return Buffer.from(out.toDER());\n}\n\nfunction dsaSign(hash, priv, algo) {\n var x = priv.params.priv_key;\n var p = priv.params.p;\n var q = priv.params.q;\n var g = priv.params.g;\n var r = new BN(0);\n var k;\n var H = bits2int(hash, q).mod(q);\n var s = false;\n var kv = getKey(x, q, hash, algo);\n while (s === false) {\n k = makeKey(q, kv, algo);\n r = makeR(g, k, p, q);\n s = k.invm(q).imul(H.add(x.mul(r))).mod(q);\n if (s.cmpn(0) === 0) {\n s = false;\n r = new BN(0);\n }\n }\n return toDER(r, s);\n}\n\nfunction toDER(r, s) {\n r = r.toArray();\n s = s.toArray();\n\n // Pad values\n if (r[0] & 0x80) { r = [0].concat(r); }\n if (s[0] & 0x80) { s = [0].concat(s); }\n\n var total = r.length + s.length + 4;\n var res = [\n 0x30, total, 0x02, r.length\n ];\n res = res.concat(r, [0x02, s.length], s);\n return Buffer.from(res);\n}\n\nfunction getKey(x, q, hash, algo) {\n x = Buffer.from(x.toArray());\n if (x.length < q.byteLength()) {\n var zeros = Buffer.alloc(q.byteLength() - x.length);\n x = Buffer.concat([zeros, x]);\n }\n var hlen = hash.length;\n var hbits = bits2octets(hash, q);\n var v = Buffer.alloc(hlen);\n v.fill(1);\n var k = Buffer.alloc(hlen);\n k = createHmac(algo, k).update(v).update(Buffer.from([0])).update(x).update(hbits).digest();\n v = createHmac(algo, k).update(v).digest();\n k = createHmac(algo, k).update(v).update(Buffer.from([1])).update(x).update(hbits).digest();\n v = createHmac(algo, k).update(v).digest();\n return { k: k, v: v };\n}\n\nfunction bits2int(obits, q) {\n var bits = new BN(obits);\n var shift = (obits.length << 3) - q.bitLength();\n if (shift > 0) { bits.ishrn(shift); }\n return bits;\n}\n\nfunction bits2octets(bits, q) {\n bits = bits2int(bits, q);\n bits = bits.mod(q);\n var out = Buffer.from(bits.toArray());\n if (out.length < q.byteLength()) {\n var zeros = Buffer.alloc(q.byteLength() - out.length);\n out = Buffer.concat([zeros, out]);\n }\n return out;\n}\n\nfunction makeKey(q, kv, algo) {\n var t;\n var k;\n\n do {\n t = Buffer.alloc(0);\n\n while (t.length * 8 < q.bitLength()) {\n kv.v = createHmac(algo, kv.k).update(kv.v).digest();\n t = Buffer.concat([t, kv.v]);\n }\n\n k = bits2int(t, q);\n kv.k = createHmac(algo, kv.k).update(kv.v).update(Buffer.from([0])).digest();\n kv.v = createHmac(algo, kv.k).update(kv.v).digest();\n } while (k.cmp(q) !== -1);\n\n return k;\n}\n\nfunction makeR(g, k, p, q) {\n return g.toRed(BN.mont(p)).redPow(k).fromRed().mod(q);\n}\n\nmodule.exports = sign;\nmodule.exports.getKey = getKey;\nmodule.exports.makeKey = makeKey;\n","'use strict';\n\n/*<replacement>*/\n\nvar pna = require('process-nextick-args');\n/*</replacement>*/\n\n// undocumented cb() API, needed for core, not for public API\nfunction destroy(err, cb) {\n var _this = this;\n\n var readableDestroyed = this._readableState && this._readableState.destroyed;\n var writableDestroyed = this._writableState && this._writableState.destroyed;\n\n if (readableDestroyed || writableDestroyed) {\n if (cb) {\n cb(err);\n } else if (err) {\n if (!this._writableState) {\n pna.nextTick(emitErrorNT, this, err);\n } else if (!this._writableState.errorEmitted) {\n this._writableState.errorEmitted = true;\n pna.nextTick(emitErrorNT, this, err);\n }\n }\n\n return this;\n }\n\n // we set destroyed to true before firing error callbacks in order\n // to make it re-entrance safe in case destroy() is called within callbacks\n\n if (this._readableState) {\n this._readableState.destroyed = true;\n }\n\n // if this is a duplex stream mark the writable part as destroyed as well\n if (this._writableState) {\n this._writableState.destroyed = true;\n }\n\n this._destroy(err || null, function (err) {\n if (!cb && err) {\n if (!_this._writableState) {\n pna.nextTick(emitErrorNT, _this, err);\n } else if (!_this._writableState.errorEmitted) {\n _this._writableState.errorEmitted = true;\n pna.nextTick(emitErrorNT, _this, err);\n }\n } else if (cb) {\n cb(err);\n }\n });\n\n return this;\n}\n\nfunction undestroy() {\n if (this._readableState) {\n this._readableState.destroyed = false;\n this._readableState.reading = false;\n this._readableState.ended = false;\n this._readableState.endEmitted = false;\n }\n\n if (this._writableState) {\n this._writableState.destroyed = false;\n this._writableState.ended = false;\n this._writableState.ending = false;\n this._writableState.finalCalled = false;\n this._writableState.prefinished = false;\n this._writableState.finished = false;\n this._writableState.errorEmitted = false;\n }\n}\n\nfunction emitErrorNT(self, err) {\n self.emit('error', err);\n}\n\nmodule.exports = {\n destroy: destroy,\n undestroy: undestroy\n};","'use strict';\n\nvar hash = require('hash.js');\nvar curves = require('../curves');\nvar utils = require('../utils');\nvar assert = utils.assert;\nvar parseBytes = utils.parseBytes;\nvar KeyPair = require('./key');\nvar Signature = require('./signature');\n\nfunction EDDSA(curve) {\n assert(curve === 'ed25519', 'only tested with ed25519 so far');\n\n if (!(this instanceof EDDSA))\n return new EDDSA(curve);\n\n curve = curves[curve].curve;\n this.curve = curve;\n this.g = curve.g;\n this.g.precompute(curve.n.bitLength() + 1);\n\n this.pointClass = curve.point().constructor;\n this.encodingLength = Math.ceil(curve.n.bitLength() / 8);\n this.hash = hash.sha512;\n}\n\nmodule.exports = EDDSA;\n\n/**\n* @param {Array|String} message - message bytes\n* @param {Array|String|KeyPair} secret - secret bytes or a keypair\n* @returns {Signature} - signature\n*/\nEDDSA.prototype.sign = function sign(message, secret) {\n message = parseBytes(message);\n var key = this.keyFromSecret(secret);\n var r = this.hashInt(key.messagePrefix(), message);\n var R = this.g.mul(r);\n var Rencoded = this.encodePoint(R);\n var s_ = this.hashInt(Rencoded, key.pubBytes(), message)\n .mul(key.priv());\n var S = r.add(s_).umod(this.curve.n);\n return this.makeSignature({ R: R, S: S, Rencoded: Rencoded });\n};\n\n/**\n* @param {Array} message - message bytes\n* @param {Array|String|Signature} sig - sig bytes\n* @param {Array|String|Point|KeyPair} pub - public key\n* @returns {Boolean} - true if public key matches sig of message\n*/\nEDDSA.prototype.verify = function verify(message, sig, pub) {\n message = parseBytes(message);\n sig = this.makeSignature(sig);\n if (sig.S().gte(sig.eddsa.curve.n) || sig.S().isNeg()) {\n return false;\n }\n var key = this.keyFromPublic(pub);\n var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message);\n var SG = this.g.mul(sig.S());\n var RplusAh = sig.R().add(key.pub().mul(h));\n return RplusAh.eq(SG);\n};\n\nEDDSA.prototype.hashInt = function hashInt() {\n var hash = this.hash();\n for (var i = 0; i < arguments.length; i++)\n hash.update(arguments[i]);\n return utils.intFromLE(hash.digest()).umod(this.curve.n);\n};\n\nEDDSA.prototype.keyFromPublic = function keyFromPublic(pub) {\n return KeyPair.fromPublic(this, pub);\n};\n\nEDDSA.prototype.keyFromSecret = function keyFromSecret(secret) {\n return KeyPair.fromSecret(this, secret);\n};\n\nEDDSA.prototype.makeSignature = function makeSignature(sig) {\n if (sig instanceof Signature)\n return sig;\n return new Signature(this, sig);\n};\n\n/**\n* * https://tools.ietf.org/html/draft-josefsson-eddsa-ed25519-03#section-5.2\n*\n* EDDSA defines methods for encoding and decoding points and integers. These are\n* helper convenience methods, that pass along to utility functions implied\n* parameters.\n*\n*/\nEDDSA.prototype.encodePoint = function encodePoint(point) {\n var enc = point.getY().toArray('le', this.encodingLength);\n enc[this.encodingLength - 1] |= point.getX().isOdd() ? 0x80 : 0;\n return enc;\n};\n\nEDDSA.prototype.decodePoint = function decodePoint(bytes) {\n bytes = utils.parseBytes(bytes);\n\n var lastIx = bytes.length - 1;\n var normed = bytes.slice(0, lastIx).concat(bytes[lastIx] & ~0x80);\n var xIsOdd = (bytes[lastIx] & 0x80) !== 0;\n\n var y = utils.intFromLE(normed);\n return this.curve.pointFromY(y, xIsOdd);\n};\n\nEDDSA.prototype.encodeInt = function encodeInt(num) {\n return num.toArray('le', this.encodingLength);\n};\n\nEDDSA.prototype.decodeInt = function decodeInt(bytes) {\n return utils.intFromLE(bytes);\n};\n\nEDDSA.prototype.isPoint = function isPoint(val) {\n return val instanceof this.pointClass;\n};\n","'use strict';\n\nvar BN = require('bn.js');\nvar HmacDRBG = require('hmac-drbg');\nvar utils = require('../utils');\nvar curves = require('../curves');\nvar rand = require('brorand');\nvar assert = utils.assert;\n\nvar KeyPair = require('./key');\nvar Signature = require('./signature');\n\nfunction EC(options) {\n if (!(this instanceof EC))\n return new EC(options);\n\n // Shortcut `elliptic.ec(curve-name)`\n if (typeof options === 'string') {\n assert(Object.prototype.hasOwnProperty.call(curves, options),\n 'Unknown curve ' + options);\n\n options = curves[options];\n }\n\n // Shortcut for `elliptic.ec(elliptic.curves.curveName)`\n if (options instanceof curves.PresetCurve)\n options = { curve: options };\n\n this.curve = options.curve.curve;\n this.n = this.curve.n;\n this.nh = this.n.ushrn(1);\n this.g = this.curve.g;\n\n // Point on curve\n this.g = options.curve.g;\n this.g.precompute(options.curve.n.bitLength() + 1);\n\n // Hash for function for DRBG\n this.hash = options.hash || options.curve.hash;\n}\nmodule.exports = EC;\n\nEC.prototype.keyPair = function keyPair(options) {\n return new KeyPair(this, options);\n};\n\nEC.prototype.keyFromPrivate = function keyFromPrivate(priv, enc) {\n return KeyPair.fromPrivate(this, priv, enc);\n};\n\nEC.prototype.keyFromPublic = function keyFromPublic(pub, enc) {\n return KeyPair.fromPublic(this, pub, enc);\n};\n\nEC.prototype.genKeyPair = function genKeyPair(options) {\n if (!options)\n options = {};\n\n // Instantiate Hmac_DRBG\n var drbg = new HmacDRBG({\n hash: this.hash,\n pers: options.pers,\n persEnc: options.persEnc || 'utf8',\n entropy: options.entropy || rand(this.hash.hmacStrength),\n entropyEnc: options.entropy && options.entropyEnc || 'utf8',\n nonce: this.n.toArray(),\n });\n\n var bytes = this.n.byteLength();\n var ns2 = this.n.sub(new BN(2));\n for (;;) {\n var priv = new BN(drbg.generate(bytes));\n if (priv.cmp(ns2) > 0)\n continue;\n\n priv.iaddn(1);\n return this.keyFromPrivate(priv);\n }\n};\n\nEC.prototype._truncateToN = function _truncateToN(msg, truncOnly, bitLength) {\n var byteLength;\n if (BN.isBN(msg) || typeof msg === 'number') {\n msg = new BN(msg, 16);\n byteLength = msg.byteLength();\n } else if (typeof msg === 'object') {\n // BN assumes an array-like input and asserts length\n byteLength = msg.length;\n msg = new BN(msg, 16);\n } else {\n // BN converts the value to string\n var str = msg.toString();\n // HEX encoding\n byteLength = (str.length + 1) >>> 1;\n msg = new BN(str, 16);\n }\n // Allow overriding\n if (typeof bitLength !== 'number') {\n bitLength = byteLength * 8;\n }\n var delta = bitLength - this.n.bitLength();\n if (delta > 0)\n msg = msg.ushrn(delta);\n if (!truncOnly && msg.cmp(this.n) >= 0)\n return msg.sub(this.n);\n else\n return msg;\n};\n\nEC.prototype.sign = function sign(msg, key, enc, options) {\n if (typeof enc === 'object') {\n options = enc;\n enc = null;\n }\n if (!options)\n options = {};\n\n if (typeof msg !== 'string' && typeof msg !== 'number' && !BN.isBN(msg)) {\n assert(typeof msg === 'object' && msg && typeof msg.length === 'number',\n 'Expected message to be an array-like, a hex string, or a BN instance');\n assert((msg.length >>> 0) === msg.length); // non-negative 32-bit integer\n for (var i = 0; i < msg.length; i++) assert((msg[i] & 255) === msg[i]);\n }\n\n key = this.keyFromPrivate(key, enc);\n msg = this._truncateToN(msg, false, options.msgBitLength);\n\n // Would fail further checks, but let's make the error message clear\n assert(!msg.isNeg(), 'Can not sign a negative message');\n\n // Zero-extend key to provide enough entropy\n var bytes = this.n.byteLength();\n var bkey = key.getPrivate().toArray('be', bytes);\n\n // Zero-extend nonce to have the same byte size as N\n var nonce = msg.toArray('be', bytes);\n\n // Recheck nonce to be bijective to msg\n assert((new BN(nonce)).eq(msg), 'Can not sign message');\n\n // Instantiate Hmac_DRBG\n var drbg = new HmacDRBG({\n hash: this.hash,\n entropy: bkey,\n nonce: nonce,\n pers: options.pers,\n persEnc: options.persEnc || 'utf8',\n });\n\n // Number of bytes to generate\n var ns1 = this.n.sub(new BN(1));\n\n for (var iter = 0; ; iter++) {\n var k = options.k ?\n options.k(iter) :\n new BN(drbg.generate(this.n.byteLength()));\n k = this._truncateToN(k, true);\n if (k.cmpn(1) <= 0 || k.cmp(ns1) >= 0)\n continue;\n\n var kp = this.g.mul(k);\n if (kp.isInfinity())\n continue;\n\n var kpX = kp.getX();\n var r = kpX.umod(this.n);\n if (r.cmpn(0) === 0)\n continue;\n\n var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg));\n s = s.umod(this.n);\n if (s.cmpn(0) === 0)\n continue;\n\n var recoveryParam = (kp.getY().isOdd() ? 1 : 0) |\n (kpX.cmp(r) !== 0 ? 2 : 0);\n\n // Use complement of `s`, if it is > `n / 2`\n if (options.canonical && s.cmp(this.nh) > 0) {\n s = this.n.sub(s);\n recoveryParam ^= 1;\n }\n\n return new Signature({ r: r, s: s, recoveryParam: recoveryParam });\n }\n};\n\nEC.prototype.verify = function verify(msg, signature, key, enc, options) {\n if (!options)\n options = {};\n\n msg = this._truncateToN(msg, false, options.msgBitLength);\n key = this.keyFromPublic(key, enc);\n signature = new Signature(signature, 'hex');\n\n // Perform primitive values validation\n var r = signature.r;\n var s = signature.s;\n if (r.cmpn(1) < 0 || r.cmp(this.n) >= 0)\n return false;\n if (s.cmpn(1) < 0 || s.cmp(this.n) >= 0)\n return false;\n\n // Validate signature\n var sinv = s.invm(this.n);\n var u1 = sinv.mul(msg).umod(this.n);\n var u2 = sinv.mul(r).umod(this.n);\n var p;\n\n if (!this.curve._maxwellTrick) {\n p = this.g.mulAdd(u1, key.getPublic(), u2);\n if (p.isInfinity())\n return false;\n\n return p.getX().umod(this.n).cmp(r) === 0;\n }\n\n // NOTE: Greg Maxwell's trick, inspired by:\n // https://git.io/vad3K\n\n p = this.g.jmulAdd(u1, key.getPublic(), u2);\n if (p.isInfinity())\n return false;\n\n // Compare `p.x` of Jacobian point with `r`,\n // this will do `p.x == r * p.z^2` instead of multiplying `p.x` by the\n // inverse of `p.z^2`\n return p.eqXToP(r);\n};\n\nEC.prototype.recoverPubKey = function(msg, signature, j, enc) {\n assert((3 & j) === j, 'The recovery param is more than two bits');\n signature = new Signature(signature, enc);\n\n var n = this.n;\n var e = new BN(msg);\n var r = signature.r;\n var s = signature.s;\n\n // A set LSB signifies that the y-coordinate is odd\n var isYOdd = j & 1;\n var isSecondKey = j >> 1;\n if (r.cmp(this.curve.p.umod(this.curve.n)) >= 0 && isSecondKey)\n throw new Error('Unable to find sencond key candinate');\n\n // 1.1. Let x = r + jn.\n if (isSecondKey)\n r = this.curve.pointFromX(r.add(this.curve.n), isYOdd);\n else\n r = this.curve.pointFromX(r, isYOdd);\n\n var rInv = signature.r.invm(n);\n var s1 = n.sub(e).mul(rInv).umod(n);\n var s2 = s.mul(rInv).umod(n);\n\n // 1.6.1 Compute Q = r^-1 (sR - eG)\n // Q = r^-1 (sR + -eG)\n return this.g.mulAdd(s1, r, s2);\n};\n\nEC.prototype.getKeyRecoveryParam = function(e, signature, Q, enc) {\n signature = new Signature(signature, enc);\n if (signature.recoveryParam !== null)\n return signature.recoveryParam;\n\n for (var i = 0; i < 4; i++) {\n var Qprime;\n try {\n Qprime = this.recoverPubKey(e, signature, i);\n } catch (e) {\n continue;\n }\n\n if (Qprime.eq(Q))\n return i;\n }\n throw new Error('Unable to find valid recovery factor');\n};\n","'use strict';\n\nvar curves = exports;\n\nvar hash = require('hash.js');\nvar curve = require('./curve');\nvar utils = require('./utils');\n\nvar assert = utils.assert;\n\nfunction PresetCurve(options) {\n if (options.type === 'short')\n this.curve = new curve.short(options);\n else if (options.type === 'edwards')\n this.curve = new curve.edwards(options);\n else\n this.curve = new curve.mont(options);\n this.g = this.curve.g;\n this.n = this.curve.n;\n this.hash = options.hash;\n\n assert(this.g.validate(), 'Invalid curve');\n assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O');\n}\ncurves.PresetCurve = PresetCurve;\n\nfunction defineCurve(name, options) {\n Object.defineProperty(curves, name, {\n configurable: true,\n enumerable: true,\n get: function() {\n var curve = new PresetCurve(options);\n Object.defineProperty(curves, name, {\n configurable: true,\n enumerable: true,\n value: curve,\n });\n return curve;\n },\n });\n}\n\ndefineCurve('p192', {\n type: 'short',\n prime: 'p192',\n p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff',\n a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc',\n b: '64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1',\n n: 'ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831',\n hash: hash.sha256,\n gRed: false,\n g: [\n '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012',\n '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811',\n ],\n});\n\ndefineCurve('p224', {\n type: 'short',\n prime: 'p224',\n p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001',\n a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe',\n b: 'b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4',\n n: 'ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d',\n hash: hash.sha256,\n gRed: false,\n g: [\n 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21',\n 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34',\n ],\n});\n\ndefineCurve('p256', {\n type: 'short',\n prime: null,\n p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff',\n a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc',\n b: '5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b',\n n: 'ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551',\n hash: hash.sha256,\n gRed: false,\n g: [\n '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296',\n '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5',\n ],\n});\n\ndefineCurve('p384', {\n type: 'short',\n prime: null,\n p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n 'fffffffe ffffffff 00000000 00000000 ffffffff',\n a: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n 'fffffffe ffffffff 00000000 00000000 fffffffc',\n b: 'b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f ' +\n '5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef',\n n: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 ' +\n 'f4372ddf 581a0db2 48b0a77a ecec196a ccc52973',\n hash: hash.sha384,\n gRed: false,\n g: [\n 'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' +\n '5502f25d bf55296c 3a545e38 72760ab7',\n '3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' +\n '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f',\n ],\n});\n\ndefineCurve('p521', {\n type: 'short',\n prime: null,\n p: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n 'ffffffff ffffffff ffffffff ffffffff ffffffff',\n a: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n 'ffffffff ffffffff ffffffff ffffffff fffffffc',\n b: '00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b ' +\n '99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd ' +\n '3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00',\n n: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n 'ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 ' +\n 'f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409',\n hash: hash.sha512,\n gRed: false,\n g: [\n '000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 ' +\n '053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 ' +\n 'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66',\n '00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' +\n '579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' +\n '3fad0761 353c7086 a272c240 88be9476 9fd16650',\n ],\n});\n\ndefineCurve('curve25519', {\n type: 'mont',\n prime: 'p25519',\n p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',\n a: '76d06',\n b: '1',\n n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',\n hash: hash.sha256,\n gRed: false,\n g: [\n '9',\n ],\n});\n\ndefineCurve('ed25519', {\n type: 'edwards',\n prime: 'p25519',\n p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',\n a: '-1',\n c: '1',\n // -121665 * (121666^(-1)) (mod P)\n d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3',\n n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',\n hash: hash.sha256,\n gRed: false,\n g: [\n '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a',\n\n // 4/5\n '6666666666666666666666666666666666666666666666666666666666666658',\n ],\n});\n\nvar pre;\ntry {\n pre = require('./precomputed/secp256k1');\n} catch (e) {\n pre = undefined;\n}\n\ndefineCurve('secp256k1', {\n type: 'short',\n prime: 'k256',\n p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f',\n a: '0',\n b: '7',\n n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141',\n h: '1',\n hash: hash.sha256,\n\n // Precomputed endomorphism\n beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee',\n lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72',\n basis: [\n {\n a: '3086d221a7d46bcde86c90e49284eb15',\n b: '-e4437ed6010e88286f547fa90abfe4c3',\n },\n {\n a: '114ca50f7a8e2f3f657c1108d9d44cfd8',\n b: '3086d221a7d46bcde86c90e49284eb15',\n },\n ],\n\n gRed: false,\n g: [\n '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',\n '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',\n pre,\n ],\n});\n","exports = module.exports = require('./lib/_stream_readable.js');\nexports.Stream = exports;\nexports.Readable = exports;\nexports.Writable = require('./lib/_stream_writable.js');\nexports.Duplex = require('./lib/_stream_duplex.js');\nexports.Transform = require('./lib/_stream_transform.js');\nexports.PassThrough = require('./lib/_stream_passthrough.js');\n","'use strict';\n\nvar utils = require('../utils');\nvar BN = require('bn.js');\nvar inherits = require('inherits');\nvar Base = require('./base');\n\nvar assert = utils.assert;\n\nfunction EdwardsCurve(conf) {\n // NOTE: Important as we are creating point in Base.call()\n this.twisted = (conf.a | 0) !== 1;\n this.mOneA = this.twisted && (conf.a | 0) === -1;\n this.extended = this.mOneA;\n\n Base.call(this, 'edwards', conf);\n\n this.a = new BN(conf.a, 16).umod(this.red.m);\n this.a = this.a.toRed(this.red);\n this.c = new BN(conf.c, 16).toRed(this.red);\n this.c2 = this.c.redSqr();\n this.d = new BN(conf.d, 16).toRed(this.red);\n this.dd = this.d.redAdd(this.d);\n\n assert(!this.twisted || this.c.fromRed().cmpn(1) === 0);\n this.oneC = (conf.c | 0) === 1;\n}\ninherits(EdwardsCurve, Base);\nmodule.exports = EdwardsCurve;\n\nEdwardsCurve.prototype._mulA = function _mulA(num) {\n if (this.mOneA)\n return num.redNeg();\n else\n return this.a.redMul(num);\n};\n\nEdwardsCurve.prototype._mulC = function _mulC(num) {\n if (this.oneC)\n return num;\n else\n return this.c.redMul(num);\n};\n\n// Just for compatibility with Short curve\nEdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) {\n return this.point(x, y, z, t);\n};\n\nEdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) {\n x = new BN(x, 16);\n if (!x.red)\n x = x.toRed(this.red);\n\n var x2 = x.redSqr();\n var rhs = this.c2.redSub(this.a.redMul(x2));\n var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2));\n\n var y2 = rhs.redMul(lhs.redInvm());\n var y = y2.redSqrt();\n if (y.redSqr().redSub(y2).cmp(this.zero) !== 0)\n throw new Error('invalid point');\n\n var isOdd = y.fromRed().isOdd();\n if (odd && !isOdd || !odd && isOdd)\n y = y.redNeg();\n\n return this.point(x, y);\n};\n\nEdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) {\n y = new BN(y, 16);\n if (!y.red)\n y = y.toRed(this.red);\n\n // x^2 = (y^2 - c^2) / (c^2 d y^2 - a)\n var y2 = y.redSqr();\n var lhs = y2.redSub(this.c2);\n var rhs = y2.redMul(this.d).redMul(this.c2).redSub(this.a);\n var x2 = lhs.redMul(rhs.redInvm());\n\n if (x2.cmp(this.zero) === 0) {\n if (odd)\n throw new Error('invalid point');\n else\n return this.point(this.zero, y);\n }\n\n var x = x2.redSqrt();\n if (x.redSqr().redSub(x2).cmp(this.zero) !== 0)\n throw new Error('invalid point');\n\n if (x.fromRed().isOdd() !== odd)\n x = x.redNeg();\n\n return this.point(x, y);\n};\n\nEdwardsCurve.prototype.validate = function validate(point) {\n if (point.isInfinity())\n return true;\n\n // Curve: A * X^2 + Y^2 = C^2 * (1 + D * X^2 * Y^2)\n point.normalize();\n\n var x2 = point.x.redSqr();\n var y2 = point.y.redSqr();\n var lhs = x2.redMul(this.a).redAdd(y2);\n var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2)));\n\n return lhs.cmp(rhs) === 0;\n};\n\nfunction Point(curve, x, y, z, t) {\n Base.BasePoint.call(this, curve, 'projective');\n if (x === null && y === null && z === null) {\n this.x = this.curve.zero;\n this.y = this.curve.one;\n this.z = this.curve.one;\n this.t = this.curve.zero;\n this.zOne = true;\n } else {\n this.x = new BN(x, 16);\n this.y = new BN(y, 16);\n this.z = z ? new BN(z, 16) : this.curve.one;\n this.t = t && new BN(t, 16);\n if (!this.x.red)\n this.x = this.x.toRed(this.curve.red);\n if (!this.y.red)\n this.y = this.y.toRed(this.curve.red);\n if (!this.z.red)\n this.z = this.z.toRed(this.curve.red);\n if (this.t && !this.t.red)\n this.t = this.t.toRed(this.curve.red);\n this.zOne = this.z === this.curve.one;\n\n // Use extended coordinates\n if (this.curve.extended && !this.t) {\n this.t = this.x.redMul(this.y);\n if (!this.zOne)\n this.t = this.t.redMul(this.z.redInvm());\n }\n }\n}\ninherits(Point, Base.BasePoint);\n\nEdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) {\n return Point.fromJSON(this, obj);\n};\n\nEdwardsCurve.prototype.point = function point(x, y, z, t) {\n return new Point(this, x, y, z, t);\n};\n\nPoint.fromJSON = function fromJSON(curve, obj) {\n return new Point(curve, obj[0], obj[1], obj[2]);\n};\n\nPoint.prototype.inspect = function inspect() {\n if (this.isInfinity())\n return '<EC Point Infinity>';\n return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +\n ' y: ' + this.y.fromRed().toString(16, 2) +\n ' z: ' + this.z.fromRed().toString(16, 2) + '>';\n};\n\nPoint.prototype.isInfinity = function isInfinity() {\n // XXX This code assumes that zero is always zero in red\n return this.x.cmpn(0) === 0 &&\n (this.y.cmp(this.z) === 0 ||\n (this.zOne && this.y.cmp(this.curve.c) === 0));\n};\n\nPoint.prototype._extDbl = function _extDbl() {\n // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html\n // #doubling-dbl-2008-hwcd\n // 4M + 4S\n\n // A = X1^2\n var a = this.x.redSqr();\n // B = Y1^2\n var b = this.y.redSqr();\n // C = 2 * Z1^2\n var c = this.z.redSqr();\n c = c.redIAdd(c);\n // D = a * A\n var d = this.curve._mulA(a);\n // E = (X1 + Y1)^2 - A - B\n var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b);\n // G = D + B\n var g = d.redAdd(b);\n // F = G - C\n var f = g.redSub(c);\n // H = D - B\n var h = d.redSub(b);\n // X3 = E * F\n var nx = e.redMul(f);\n // Y3 = G * H\n var ny = g.redMul(h);\n // T3 = E * H\n var nt = e.redMul(h);\n // Z3 = F * G\n var nz = f.redMul(g);\n return this.curve.point(nx, ny, nz, nt);\n};\n\nPoint.prototype._projDbl = function _projDbl() {\n // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html\n // #doubling-dbl-2008-bbjlp\n // #doubling-dbl-2007-bl\n // and others\n // Generally 3M + 4S or 2M + 4S\n\n // B = (X1 + Y1)^2\n var b = this.x.redAdd(this.y).redSqr();\n // C = X1^2\n var c = this.x.redSqr();\n // D = Y1^2\n var d = this.y.redSqr();\n\n var nx;\n var ny;\n var nz;\n var e;\n var h;\n var j;\n if (this.curve.twisted) {\n // E = a * C\n e = this.curve._mulA(c);\n // F = E + D\n var f = e.redAdd(d);\n if (this.zOne) {\n // X3 = (B - C - D) * (F - 2)\n nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two));\n // Y3 = F * (E - D)\n ny = f.redMul(e.redSub(d));\n // Z3 = F^2 - 2 * F\n nz = f.redSqr().redSub(f).redSub(f);\n } else {\n // H = Z1^2\n h = this.z.redSqr();\n // J = F - 2 * H\n j = f.redSub(h).redISub(h);\n // X3 = (B-C-D)*J\n nx = b.redSub(c).redISub(d).redMul(j);\n // Y3 = F * (E - D)\n ny = f.redMul(e.redSub(d));\n // Z3 = F * J\n nz = f.redMul(j);\n }\n } else {\n // E = C + D\n e = c.redAdd(d);\n // H = (c * Z1)^2\n h = this.curve._mulC(this.z).redSqr();\n // J = E - 2 * H\n j = e.redSub(h).redSub(h);\n // X3 = c * (B - E) * J\n nx = this.curve._mulC(b.redISub(e)).redMul(j);\n // Y3 = c * E * (C - D)\n ny = this.curve._mulC(e).redMul(c.redISub(d));\n // Z3 = E * J\n nz = e.redMul(j);\n }\n return this.curve.point(nx, ny, nz);\n};\n\nPoint.prototype.dbl = function dbl() {\n if (this.isInfinity())\n return this;\n\n // Double in extended coordinates\n if (this.curve.extended)\n return this._extDbl();\n else\n return this._projDbl();\n};\n\nPoint.prototype._extAdd = function _extAdd(p) {\n // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html\n // #addition-add-2008-hwcd-3\n // 8M\n\n // A = (Y1 - X1) * (Y2 - X2)\n var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x));\n // B = (Y1 + X1) * (Y2 + X2)\n var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x));\n // C = T1 * k * T2\n var c = this.t.redMul(this.curve.dd).redMul(p.t);\n // D = Z1 * 2 * Z2\n var d = this.z.redMul(p.z.redAdd(p.z));\n // E = B - A\n var e = b.redSub(a);\n // F = D - C\n var f = d.redSub(c);\n // G = D + C\n var g = d.redAdd(c);\n // H = B + A\n var h = b.redAdd(a);\n // X3 = E * F\n var nx = e.redMul(f);\n // Y3 = G * H\n var ny = g.redMul(h);\n // T3 = E * H\n var nt = e.redMul(h);\n // Z3 = F * G\n var nz = f.redMul(g);\n return this.curve.point(nx, ny, nz, nt);\n};\n\nPoint.prototype._projAdd = function _projAdd(p) {\n // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html\n // #addition-add-2008-bbjlp\n // #addition-add-2007-bl\n // 10M + 1S\n\n // A = Z1 * Z2\n var a = this.z.redMul(p.z);\n // B = A^2\n var b = a.redSqr();\n // C = X1 * X2\n var c = this.x.redMul(p.x);\n // D = Y1 * Y2\n var d = this.y.redMul(p.y);\n // E = d * C * D\n var e = this.curve.d.redMul(c).redMul(d);\n // F = B - E\n var f = b.redSub(e);\n // G = B + E\n var g = b.redAdd(e);\n // X3 = A * F * ((X1 + Y1) * (X2 + Y2) - C - D)\n var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d);\n var nx = a.redMul(f).redMul(tmp);\n var ny;\n var nz;\n if (this.curve.twisted) {\n // Y3 = A * G * (D - a * C)\n ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c)));\n // Z3 = F * G\n nz = f.redMul(g);\n } else {\n // Y3 = A * G * (D - C)\n ny = a.redMul(g).redMul(d.redSub(c));\n // Z3 = c * F * G\n nz = this.curve._mulC(f).redMul(g);\n }\n return this.curve.point(nx, ny, nz);\n};\n\nPoint.prototype.add = function add(p) {\n if (this.isInfinity())\n return p;\n if (p.isInfinity())\n return this;\n\n if (this.curve.extended)\n return this._extAdd(p);\n else\n return this._projAdd(p);\n};\n\nPoint.prototype.mul = function mul(k) {\n if (this._hasDoubles(k))\n return this.curve._fixedNafMul(this, k);\n else\n return this.curve._wnafMul(this, k);\n};\n\nPoint.prototype.mulAdd = function mulAdd(k1, p, k2) {\n return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, false);\n};\n\nPoint.prototype.jmulAdd = function jmulAdd(k1, p, k2) {\n return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, true);\n};\n\nPoint.prototype.normalize = function normalize() {\n if (this.zOne)\n return this;\n\n // Normalize coordinates\n var zi = this.z.redInvm();\n this.x = this.x.redMul(zi);\n this.y = this.y.redMul(zi);\n if (this.t)\n this.t = this.t.redMul(zi);\n this.z = this.curve.one;\n this.zOne = true;\n return this;\n};\n\nPoint.prototype.neg = function neg() {\n return this.curve.point(this.x.redNeg(),\n this.y,\n this.z,\n this.t && this.t.redNeg());\n};\n\nPoint.prototype.getX = function getX() {\n this.normalize();\n return this.x.fromRed();\n};\n\nPoint.prototype.getY = function getY() {\n this.normalize();\n return this.y.fromRed();\n};\n\nPoint.prototype.eq = function eq(other) {\n return this === other ||\n this.getX().cmp(other.getX()) === 0 &&\n this.getY().cmp(other.getY()) === 0;\n};\n\nPoint.prototype.eqXToP = function eqXToP(x) {\n var rx = x.toRed(this.curve.red).redMul(this.z);\n if (this.x.cmp(rx) === 0)\n return true;\n\n var xc = x.clone();\n var t = this.curve.redN.redMul(this.z);\n for (;;) {\n xc.iadd(this.curve.n);\n if (xc.cmp(this.curve.p) >= 0)\n return false;\n\n rx.redIAdd(t);\n if (this.x.cmp(rx) === 0)\n return true;\n }\n};\n\n// Compatibility with BaseCurve\nPoint.prototype.toP = Point.prototype.normalize;\nPoint.prototype.mixedAdd = Point.prototype.add;\n","'use strict';\n\nmodule.exports = require('./browser/algorithms.json');\n","'use strict';\n\n// adapted from https://github.com/apatil/pemstrip\nvar findProc = /Proc-Type: 4,ENCRYPTED[\\n\\r]+DEK-Info: AES-((?:128)|(?:192)|(?:256))-CBC,([0-9A-H]+)[\\n\\r]+([0-9A-z\\n\\r+/=]+)[\\n\\r]+/m;\nvar startRegex = /^-----BEGIN ((?:.*? KEY)|CERTIFICATE)-----/m;\nvar fullRegex = /^-----BEGIN ((?:.*? KEY)|CERTIFICATE)-----([0-9A-z\\n\\r+/=]+)-----END \\1-----$/m;\nvar evp = require('evp_bytestokey');\nvar ciphers = require('browserify-aes');\nvar Buffer = require('safe-buffer').Buffer;\nmodule.exports = function (okey, password) {\n\tvar key = okey.toString();\n\tvar match = key.match(findProc);\n\tvar decrypted;\n\tif (!match) {\n\t\tvar match2 = key.match(fullRegex);\n\t\tdecrypted = Buffer.from(match2[2].replace(/[\\r\\n]/g, ''), 'base64');\n\t} else {\n\t\tvar suite = 'aes' + match[1];\n\t\tvar iv = Buffer.from(match[2], 'hex');\n\t\tvar cipherText = Buffer.from(match[3].replace(/[\\r\\n]/g, ''), 'base64');\n\t\tvar cipherKey = evp(password, iv.slice(0, 8), parseInt(match[1], 10)).key;\n\t\tvar out = [];\n\t\tvar cipher = ciphers.createDecipheriv(suite, cipherKey, iv);\n\t\tout.push(cipher.update(cipherText));\n\t\tout.push(cipher['final']());\n\t\tdecrypted = Buffer.concat(out);\n\t}\n\tvar tag = key.match(startRegex)[1];\n\treturn {\n\t\ttag: tag,\n\t\tdata: decrypted\n\t};\n};\n","'use strict';\n\nvar BN = require('bn.js');\nvar utils = require('../utils');\nvar assert = utils.assert;\n\nfunction KeyPair(ec, options) {\n this.ec = ec;\n this.priv = null;\n this.pub = null;\n\n // KeyPair(ec, { priv: ..., pub: ... })\n if (options.priv)\n this._importPrivate(options.priv, options.privEnc);\n if (options.pub)\n this._importPublic(options.pub, options.pubEnc);\n}\nmodule.exports = KeyPair;\n\nKeyPair.fromPublic = function fromPublic(ec, pub, enc) {\n if (pub instanceof KeyPair)\n return pub;\n\n return new KeyPair(ec, {\n pub: pub,\n pubEnc: enc,\n });\n};\n\nKeyPair.fromPrivate = function fromPrivate(ec, priv, enc) {\n if (priv instanceof KeyPair)\n return priv;\n\n return new KeyPair(ec, {\n priv: priv,\n privEnc: enc,\n });\n};\n\nKeyPair.prototype.validate = function validate() {\n var pub = this.getPublic();\n\n if (pub.isInfinity())\n return { result: false, reason: 'Invalid public key' };\n if (!pub.validate())\n return { result: false, reason: 'Public key is not a point' };\n if (!pub.mul(this.ec.curve.n).isInfinity())\n return { result: false, reason: 'Public key * N != O' };\n\n return { result: true, reason: null };\n};\n\nKeyPair.prototype.getPublic = function getPublic(compact, enc) {\n // compact is optional argument\n if (typeof compact === 'string') {\n enc = compact;\n compact = null;\n }\n\n if (!this.pub)\n this.pub = this.ec.g.mul(this.priv);\n\n if (!enc)\n return this.pub;\n\n return this.pub.encode(enc, compact);\n};\n\nKeyPair.prototype.getPrivate = function getPrivate(enc) {\n if (enc === 'hex')\n return this.priv.toString(16, 2);\n else\n return this.priv;\n};\n\nKeyPair.prototype._importPrivate = function _importPrivate(key, enc) {\n this.priv = new BN(key, enc || 16);\n\n // Ensure that the priv won't be bigger than n, otherwise we may fail\n // in fixed multiplication method\n this.priv = this.priv.umod(this.ec.curve.n);\n};\n\nKeyPair.prototype._importPublic = function _importPublic(key, enc) {\n if (key.x || key.y) {\n // Montgomery points only have an `x` coordinate.\n // Weierstrass/Edwards points on the other hand have both `x` and\n // `y` coordinates.\n if (this.ec.curve.type === 'mont') {\n assert(key.x, 'Need x coordinate');\n } else if (this.ec.curve.type === 'short' ||\n this.ec.curve.type === 'edwards') {\n assert(key.x && key.y, 'Need both x and y coordinate');\n }\n this.pub = this.ec.curve.point(key.x, key.y);\n return;\n }\n this.pub = this.ec.curve.decodePoint(key, enc);\n};\n\n// ECDH\nKeyPair.prototype.derive = function derive(pub) {\n if(!pub.validate()) {\n assert(pub.validate(), 'public point not validated');\n }\n return pub.mul(this.priv).getX();\n};\n\n// ECDSA\nKeyPair.prototype.sign = function sign(msg, enc, options) {\n return this.ec.sign(msg, this, enc, options);\n};\n\nKeyPair.prototype.verify = function verify(msg, signature, options) {\n return this.ec.verify(msg, signature, this, undefined, options);\n};\n\nKeyPair.prototype.inspect = function inspect() {\n return '<Key priv: ' + (this.priv && this.priv.toString(16, 2)) +\n ' pub: ' + (this.pub && this.pub.inspect()) + ' >';\n};\n","'use strict';\n\nvar curve = exports;\n\ncurve.base = require('./base');\ncurve.short = require('./short');\ncurve.mont = require('./mont');\ncurve.edwards = require('./edwards');\n","'use strict';\n\nvar utils = require('../utils');\nvar assert = utils.assert;\nvar parseBytes = utils.parseBytes;\nvar cachedProperty = utils.cachedProperty;\n\n/**\n* @param {EDDSA} eddsa - instance\n* @param {Object} params - public/private key parameters\n*\n* @param {Array<Byte>} [params.secret] - secret seed bytes\n* @param {Point} [params.pub] - public key point (aka `A` in eddsa terms)\n* @param {Array<Byte>} [params.pub] - public key point encoded as bytes\n*\n*/\nfunction KeyPair(eddsa, params) {\n this.eddsa = eddsa;\n this._secret = parseBytes(params.secret);\n if (eddsa.isPoint(params.pub))\n this._pub = params.pub;\n else\n this._pubBytes = parseBytes(params.pub);\n}\n\nKeyPair.fromPublic = function fromPublic(eddsa, pub) {\n if (pub instanceof KeyPair)\n return pub;\n return new KeyPair(eddsa, { pub: pub });\n};\n\nKeyPair.fromSecret = function fromSecret(eddsa, secret) {\n if (secret instanceof KeyPair)\n return secret;\n return new KeyPair(eddsa, { secret: secret });\n};\n\nKeyPair.prototype.secret = function secret() {\n return this._secret;\n};\n\ncachedProperty(KeyPair, 'pubBytes', function pubBytes() {\n return this.eddsa.encodePoint(this.pub());\n});\n\ncachedProperty(KeyPair, 'pub', function pub() {\n if (this._pubBytes)\n return this.eddsa.decodePoint(this._pubBytes);\n return this.eddsa.g.mul(this.priv());\n});\n\ncachedProperty(KeyPair, 'privBytes', function privBytes() {\n var eddsa = this.eddsa;\n var hash = this.hash();\n var lastIx = eddsa.encodingLength - 1;\n\n var a = hash.slice(0, eddsa.encodingLength);\n a[0] &= 248;\n a[lastIx] &= 127;\n a[lastIx] |= 64;\n\n return a;\n});\n\ncachedProperty(KeyPair, 'priv', function priv() {\n return this.eddsa.decodeInt(this.privBytes());\n});\n\ncachedProperty(KeyPair, 'hash', function hash() {\n return this.eddsa.hash().update(this.secret()).digest();\n});\n\ncachedProperty(KeyPair, 'messagePrefix', function messagePrefix() {\n return this.hash().slice(this.eddsa.encodingLength);\n});\n\nKeyPair.prototype.sign = function sign(message) {\n assert(this._secret, 'KeyPair can only verify');\n return this.eddsa.sign(message, this);\n};\n\nKeyPair.prototype.verify = function verify(message, sig) {\n return this.eddsa.verify(message, sig, this);\n};\n\nKeyPair.prototype.getSecret = function getSecret(enc) {\n assert(this._secret, 'KeyPair is public only');\n return utils.encode(this.secret(), enc);\n};\n\nKeyPair.prototype.getPublic = function getPublic(enc) {\n return utils.encode(this.pubBytes(), enc);\n};\n\nmodule.exports = KeyPair;\n","'use strict';\n\nvar BN = require('bn.js');\nvar utils = require('../utils');\nvar assert = utils.assert;\nvar cachedProperty = utils.cachedProperty;\nvar parseBytes = utils.parseBytes;\n\n/**\n* @param {EDDSA} eddsa - eddsa instance\n* @param {Array<Bytes>|Object} sig -\n* @param {Array<Bytes>|Point} [sig.R] - R point as Point or bytes\n* @param {Array<Bytes>|bn} [sig.S] - S scalar as bn or bytes\n* @param {Array<Bytes>} [sig.Rencoded] - R point encoded\n* @param {Array<Bytes>} [sig.Sencoded] - S scalar encoded\n*/\nfunction Signature(eddsa, sig) {\n this.eddsa = eddsa;\n\n if (typeof sig !== 'object')\n sig = parseBytes(sig);\n\n if (Array.isArray(sig)) {\n assert(sig.length === eddsa.encodingLength * 2, 'Signature has invalid size');\n sig = {\n R: sig.slice(0, eddsa.encodingLength),\n S: sig.slice(eddsa.encodingLength),\n };\n }\n\n assert(sig.R && sig.S, 'Signature without R or S');\n\n if (eddsa.isPoint(sig.R))\n this._R = sig.R;\n if (sig.S instanceof BN)\n this._S = sig.S;\n\n this._Rencoded = Array.isArray(sig.R) ? sig.R : sig.Rencoded;\n this._Sencoded = Array.isArray(sig.S) ? sig.S : sig.Sencoded;\n}\n\ncachedProperty(Signature, 'S', function S() {\n return this.eddsa.decodeInt(this.Sencoded());\n});\n\ncachedProperty(Signature, 'R', function R() {\n return this.eddsa.decodePoint(this.Rencoded());\n});\n\ncachedProperty(Signature, 'Rencoded', function Rencoded() {\n return this.eddsa.encodePoint(this.R());\n});\n\ncachedProperty(Signature, 'Sencoded', function Sencoded() {\n return this.eddsa.encodeInt(this.S());\n});\n\nSignature.prototype.toBytes = function toBytes() {\n return this.Rencoded().concat(this.Sencoded());\n};\n\nSignature.prototype.toHex = function toHex() {\n return utils.encode(this.toBytes(), 'hex').toUpperCase();\n};\n\nmodule.exports = Signature;\n","'use strict';\n\nvar BN = require('bn.js');\nvar randomBytes = require('randombytes');\nvar Buffer = require('safe-buffer').Buffer;\n\nfunction getr(priv) {\n\tvar len = priv.modulus.byteLength();\n\tvar r;\n\tdo {\n\t\tr = new BN(randomBytes(len));\n\t} while (r.cmp(priv.modulus) >= 0 || !r.umod(priv.prime1) || !r.umod(priv.prime2));\n\treturn r;\n}\n\nfunction blind(priv) {\n\tvar r = getr(priv);\n\tvar blinder = r.toRed(BN.mont(priv.modulus)).redPow(new BN(priv.publicExponent)).fromRed();\n\treturn { blinder: blinder, unblinder: r.invm(priv.modulus) };\n}\n\nfunction crt(msg, priv) {\n\tvar blinds = blind(priv);\n\tvar len = priv.modulus.byteLength();\n\tvar blinded = new BN(msg).mul(blinds.blinder).umod(priv.modulus);\n\tvar c1 = blinded.toRed(BN.mont(priv.prime1));\n\tvar c2 = blinded.toRed(BN.mont(priv.prime2));\n\tvar qinv = priv.coefficient;\n\tvar p = priv.prime1;\n\tvar q = priv.prime2;\n\tvar m1 = c1.redPow(priv.exponent1).fromRed();\n\tvar m2 = c2.redPow(priv.exponent2).fromRed();\n\tvar h = m1.isub(m2).imul(qinv).umod(p).imul(q);\n\treturn m2.iadd(h).imul(blinds.unblinder).umod(priv.modulus).toArrayLike(Buffer, 'be', len);\n}\ncrt.getr = getr;\n\nmodule.exports = crt;\n","'use strict';\n\n// much of this based on https://github.com/indutny/self-signed/blob/gh-pages/lib/rsa.js\nvar Buffer = require('safe-buffer').Buffer;\nvar BN = require('bn.js');\nvar EC = require('elliptic').ec;\nvar parseKeys = require('parse-asn1');\nvar curves = require('./curves.json');\n\nfunction verify(sig, hash, key, signType, tag) {\n var pub = parseKeys(key);\n if (pub.type === 'ec') {\n // rsa keys can be interpreted as ecdsa ones in openssl\n if (signType !== 'ecdsa' && signType !== 'ecdsa/rsa') { throw new Error('wrong public key type'); }\n return ecVerify(sig, hash, pub);\n } else if (pub.type === 'dsa') {\n if (signType !== 'dsa') { throw new Error('wrong public key type'); }\n return dsaVerify(sig, hash, pub);\n }\n if (signType !== 'rsa' && signType !== 'ecdsa/rsa') { throw new Error('wrong public key type'); }\n\n hash = Buffer.concat([tag, hash]);\n var len = pub.modulus.byteLength();\n var pad = [1];\n var padNum = 0;\n while (hash.length + pad.length + 2 < len) {\n pad.push(0xff);\n padNum += 1;\n }\n pad.push(0x00);\n var i = -1;\n while (++i < hash.length) {\n pad.push(hash[i]);\n }\n pad = Buffer.from(pad);\n var red = BN.mont(pub.modulus);\n sig = new BN(sig).toRed(red);\n\n sig = sig.redPow(new BN(pub.publicExponent));\n sig = Buffer.from(sig.fromRed().toArray());\n var out = padNum < 8 ? 1 : 0;\n len = Math.min(sig.length, pad.length);\n if (sig.length !== pad.length) { out = 1; }\n\n i = -1;\n while (++i < len) { out |= sig[i] ^ pad[i]; }\n return out === 0;\n}\n\nfunction ecVerify(sig, hash, pub) {\n var curveId = curves[pub.data.algorithm.curve.join('.')];\n if (!curveId) { throw new Error('unknown curve ' + pub.data.algorithm.curve.join('.')); }\n\n var curve = new EC(curveId);\n var pubkey = pub.data.subjectPrivateKey.data;\n\n return curve.verify(hash, sig, pubkey);\n}\n\nfunction dsaVerify(sig, hash, pub) {\n var p = pub.data.p;\n var q = pub.data.q;\n var g = pub.data.g;\n var y = pub.data.pub_key;\n var unpacked = parseKeys.signature.decode(sig, 'der');\n var s = unpacked.s;\n var r = unpacked.r;\n checkValue(s, q);\n checkValue(r, q);\n var montp = BN.mont(p);\n var w = s.invm(q);\n var v = g.toRed(montp)\n .redPow(new BN(hash).mul(w).mod(q))\n .fromRed()\n .mul(y.toRed(montp).redPow(r.mul(w).mod(q)).fromRed())\n .mod(p)\n .mod(q);\n return v.cmp(r) === 0;\n}\n\nfunction checkValue(b, q) {\n if (b.cmpn(0) <= 0) { throw new Error('invalid sig'); }\n if (b.cmp(q) >= 0) { throw new Error('invalid sig'); }\n}\n\nmodule.exports = verify;\n","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n// a passthrough stream.\n// basically just the most minimal sort of Transform stream.\n// Every written chunk gets output as-is.\n\n'use strict';\n\nmodule.exports = PassThrough;\n\nvar Transform = require('./_stream_transform');\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\nutil.inherits(PassThrough, Transform);\n\nfunction PassThrough(options) {\n if (!(this instanceof PassThrough)) return new PassThrough(options);\n\n Transform.call(this, options);\n}\n\nPassThrough.prototype._transform = function (chunk, encoding, cb) {\n cb(null, chunk);\n};","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n// a transform stream is a readable/writable stream where you do\n// something with the data. Sometimes it's called a \"filter\",\n// but that's not a great name for it, since that implies a thing where\n// some bits pass through, and others are simply ignored. (That would\n// be a valid example of a transform, of course.)\n//\n// While the output is causally related to the input, it's not a\n// necessarily symmetric or synchronous transformation. For example,\n// a zlib stream might take multiple plain-text writes(), and then\n// emit a single compressed chunk some time in the future.\n//\n// Here's how this works:\n//\n// The Transform stream has all the aspects of the readable and writable\n// stream classes. When you write(chunk), that calls _write(chunk,cb)\n// internally, and returns false if there's a lot of pending writes\n// buffered up. When you call read(), that calls _read(n) until\n// there's enough pending readable data buffered up.\n//\n// In a transform stream, the written data is placed in a buffer. When\n// _read(n) is called, it transforms the queued up data, calling the\n// buffered _write cb's as it consumes chunks. If consuming a single\n// written chunk would result in multiple output chunks, then the first\n// outputted bit calls the readcb, and subsequent chunks just go into\n// the read buffer, and will cause it to emit 'readable' if necessary.\n//\n// This way, back-pressure is actually determined by the reading side,\n// since _read has to be called to start processing a new chunk. However,\n// a pathological inflate type of transform can cause excessive buffering\n// here. For example, imagine a stream where every byte of input is\n// interpreted as an integer from 0-255, and then results in that many\n// bytes of output. Writing the 4 bytes {ff,ff,ff,ff} would result in\n// 1kb of data being output. In this case, you could write a very small\n// amount of input, and end up with a very large amount of output. In\n// such a pathological inflating mechanism, there'd be no way to tell\n// the system to stop doing the transform. A single 4MB write could\n// cause the system to run out of memory.\n//\n// However, even in such a pathological case, only a single written chunk\n// would be consumed, and then the rest would wait (un-transformed) until\n// the results of the previous transformed chunk were consumed.\n\n'use strict';\n\nmodule.exports = Transform;\n\nvar Duplex = require('./_stream_duplex');\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\nutil.inherits(Transform, Duplex);\n\nfunction afterTransform(er, data) {\n var ts = this._transformState;\n ts.transforming = false;\n\n var cb = ts.writecb;\n\n if (!cb) {\n return this.emit('error', new Error('write callback called multiple times'));\n }\n\n ts.writechunk = null;\n ts.writecb = null;\n\n if (data != null) // single equals check for both `null` and `undefined`\n this.push(data);\n\n cb(er);\n\n var rs = this._readableState;\n rs.reading = false;\n if (rs.needReadable || rs.length < rs.highWaterMark) {\n this._read(rs.highWaterMark);\n }\n}\n\nfunction Transform(options) {\n if (!(this instanceof Transform)) return new Transform(options);\n\n Duplex.call(this, options);\n\n this._transformState = {\n afterTransform: afterTransform.bind(this),\n needTransform: false,\n transforming: false,\n writecb: null,\n writechunk: null,\n writeencoding: null\n };\n\n // start out asking for a readable event once data is transformed.\n this._readableState.needReadable = true;\n\n // we have implemented the _read method, and done the other things\n // that Readable wants before the first _read call, so unset the\n // sync guard flag.\n this._readableState.sync = false;\n\n if (options) {\n if (typeof options.transform === 'function') this._transform = options.transform;\n\n if (typeof options.flush === 'function') this._flush = options.flush;\n }\n\n // When the writable side finishes, then flush out anything remaining.\n this.on('prefinish', prefinish);\n}\n\nfunction prefinish() {\n var _this = this;\n\n if (typeof this._flush === 'function') {\n this._flush(function (er, data) {\n done(_this, er, data);\n });\n } else {\n done(this, null, null);\n }\n}\n\nTransform.prototype.push = function (chunk, encoding) {\n this._transformState.needTransform = false;\n return Duplex.prototype.push.call(this, chunk, encoding);\n};\n\n// This is the part where you do stuff!\n// override this function in implementation classes.\n// 'chunk' is an input chunk.\n//\n// Call `push(newChunk)` to pass along transformed output\n// to the readable side. You may call 'push' zero or more times.\n//\n// Call `cb(err)` when you are done with this chunk. If you pass\n// an error, then that'll put the hurt on the whole operation. If you\n// never call cb(), then you'll never get another chunk.\nTransform.prototype._transform = function (chunk, encoding, cb) {\n throw new Error('_transform() is not implemented');\n};\n\nTransform.prototype._write = function (chunk, encoding, cb) {\n var ts = this._transformState;\n ts.writecb = cb;\n ts.writechunk = chunk;\n ts.writeencoding = encoding;\n if (!ts.transforming) {\n var rs = this._readableState;\n if (ts.needTransform || rs.needReadable || rs.length < rs.highWaterMark) this._read(rs.highWaterMark);\n }\n};\n\n// Doesn't matter what the args are here.\n// _transform does all the work.\n// That we got here means that the readable side wants more data.\nTransform.prototype._read = function (n) {\n var ts = this._transformState;\n\n if (ts.writechunk !== null && ts.writecb && !ts.transforming) {\n ts.transforming = true;\n this._transform(ts.writechunk, ts.writeencoding, ts.afterTransform);\n } else {\n // mark that we need a transform, so that any data that comes in\n // will get processed, now that we've asked for it.\n ts.needTransform = true;\n }\n};\n\nTransform.prototype._destroy = function (err, cb) {\n var _this2 = this;\n\n Duplex.prototype._destroy.call(this, err, function (err2) {\n cb(err2);\n _this2.emit('close');\n });\n};\n\nfunction done(stream, er, data) {\n if (er) return stream.emit('error', er);\n\n if (data != null) // single equals check for both `null` and `undefined`\n stream.push(data);\n\n // if there's nothing in the write buffer, then that means\n // that nothing more will ever be provided\n if (stream._writableState.length) throw new Error('Calling transform done when ws.length != 0');\n\n if (stream._transformState.transforming) throw new Error('Calling transform done when still transforming');\n\n return stream.push(null);\n}","'use strict';\n\nvar asn1 = require('./asn1');\nvar aesid = require('./aesid.json');\nvar fixProc = require('./fixProc');\nvar ciphers = require('browserify-aes');\nvar compat = require('pbkdf2');\nvar Buffer = require('safe-buffer').Buffer;\n\nfunction decrypt(data, password) {\n\tvar salt = data.algorithm.decrypt.kde.kdeparams.salt;\n\tvar iters = parseInt(data.algorithm.decrypt.kde.kdeparams.iters.toString(), 10);\n\tvar algo = aesid[data.algorithm.decrypt.cipher.algo.join('.')];\n\tvar iv = data.algorithm.decrypt.cipher.iv;\n\tvar cipherText = data.subjectPrivateKey;\n\tvar keylen = parseInt(algo.split('-')[1], 10) / 8;\n\tvar key = compat.pbkdf2Sync(password, salt, iters, keylen, 'sha1');\n\tvar cipher = ciphers.createDecipheriv(algo, key, iv);\n\tvar out = [];\n\tout.push(cipher.update(cipherText));\n\tout.push(cipher['final']());\n\treturn Buffer.concat(out);\n}\n\nfunction parseKeys(buffer) {\n\tvar password;\n\tif (typeof buffer === 'object' && !Buffer.isBuffer(buffer)) {\n\t\tpassword = buffer.passphrase;\n\t\tbuffer = buffer.key;\n\t}\n\tif (typeof buffer === 'string') {\n\t\tbuffer = Buffer.from(buffer);\n\t}\n\n\tvar stripped = fixProc(buffer, password);\n\n\tvar type = stripped.tag;\n\tvar data = stripped.data;\n\tvar subtype, ndata;\n\tswitch (type) {\n\t\tcase 'CERTIFICATE':\n\t\t\tndata = asn1.certificate.decode(data, 'der').tbsCertificate.subjectPublicKeyInfo;\n\t\t\t// falls through\n\t\tcase 'PUBLIC KEY':\n\t\t\tif (!ndata) {\n\t\t\t\tndata = asn1.PublicKey.decode(data, 'der');\n\t\t\t}\n\t\t\tsubtype = ndata.algorithm.algorithm.join('.');\n\t\t\tswitch (subtype) {\n\t\t\t\tcase '1.2.840.113549.1.1.1':\n\t\t\t\t\treturn asn1.RSAPublicKey.decode(ndata.subjectPublicKey.data, 'der');\n\t\t\t\tcase '1.2.840.10045.2.1':\n\t\t\t\t\tndata.subjectPrivateKey = ndata.subjectPublicKey;\n\t\t\t\t\treturn {\n\t\t\t\t\t\ttype: 'ec',\n\t\t\t\t\t\tdata: ndata\n\t\t\t\t\t};\n\t\t\t\tcase '1.2.840.10040.4.1':\n\t\t\t\t\tndata.algorithm.params.pub_key = asn1.DSAparam.decode(ndata.subjectPublicKey.data, 'der');\n\t\t\t\t\treturn {\n\t\t\t\t\t\ttype: 'dsa',\n\t\t\t\t\t\tdata: ndata.algorithm.params\n\t\t\t\t\t};\n\t\t\t\tdefault: throw new Error('unknown key id ' + subtype);\n\t\t\t}\n\t\t\t// throw new Error('unknown key type ' + type)\n\t\tcase 'ENCRYPTED PRIVATE KEY':\n\t\t\tdata = asn1.EncryptedPrivateKey.decode(data, 'der');\n\t\t\tdata = decrypt(data, password);\n\t\t\t// falls through\n\t\tcase 'PRIVATE KEY':\n\t\t\tndata = asn1.PrivateKey.decode(data, 'der');\n\t\t\tsubtype = ndata.algorithm.algorithm.join('.');\n\t\t\tswitch (subtype) {\n\t\t\t\tcase '1.2.840.113549.1.1.1':\n\t\t\t\t\treturn asn1.RSAPrivateKey.decode(ndata.subjectPrivateKey, 'der');\n\t\t\t\tcase '1.2.840.10045.2.1':\n\t\t\t\t\treturn {\n\t\t\t\t\t\tcurve: ndata.algorithm.curve,\n\t\t\t\t\t\tprivateKey: asn1.ECPrivateKey.decode(ndata.subjectPrivateKey, 'der').privateKey\n\t\t\t\t\t};\n\t\t\t\tcase '1.2.840.10040.4.1':\n\t\t\t\t\tndata.algorithm.params.priv_key = asn1.DSAparam.decode(ndata.subjectPrivateKey, 'der');\n\t\t\t\t\treturn {\n\t\t\t\t\t\ttype: 'dsa',\n\t\t\t\t\t\tparams: ndata.algorithm.params\n\t\t\t\t\t};\n\t\t\t\tdefault: throw new Error('unknown key id ' + subtype);\n\t\t\t}\n\t\t\t// throw new Error('unknown key type ' + type)\n\t\tcase 'RSA PUBLIC KEY':\n\t\t\treturn asn1.RSAPublicKey.decode(data, 'der');\n\t\tcase 'RSA PRIVATE KEY':\n\t\t\treturn asn1.RSAPrivateKey.decode(data, 'der');\n\t\tcase 'DSA PRIVATE KEY':\n\t\t\treturn {\n\t\t\t\ttype: 'dsa',\n\t\t\t\tparams: asn1.DSAPrivateKey.decode(data, 'der')\n\t\t\t};\n\t\tcase 'EC PRIVATE KEY':\n\t\t\tdata = asn1.ECPrivateKey.decode(data, 'der');\n\t\t\treturn {\n\t\t\t\tcurve: data.parameters.value,\n\t\t\t\tprivateKey: data.privateKey\n\t\t\t};\n\t\tdefault: throw new Error('unknown key type ' + type);\n\t}\n}\nparseKeys.signature = asn1.signature;\n\nmodule.exports = parseKeys;\n","/* eslint-disable node/no-deprecated-api */\nvar buffer = require('buffer')\nvar Buffer = buffer.Buffer\n\n// alternative to using Object.keys for old browsers\nfunction copyProps (src, dst) {\n for (var key in src) {\n dst[key] = src[key]\n }\n}\nif (Buffer.from && Buffer.alloc && Buffer.allocUnsafe && Buffer.allocUnsafeSlow) {\n module.exports = buffer\n} else {\n // Copy properties from require('buffer')\n copyProps(buffer, exports)\n exports.Buffer = SafeBuffer\n}\n\nfunction SafeBuffer (arg, encodingOrOffset, length) {\n return Buffer(arg, encodingOrOffset, length)\n}\n\n// Copy static methods from Buffer\ncopyProps(Buffer, SafeBuffer)\n\nSafeBuffer.from = function (arg, encodingOrOffset, length) {\n if (typeof arg === 'number') {\n throw new TypeError('Argument must not be a number')\n }\n return Buffer(arg, encodingOrOffset, length)\n}\n\nSafeBuffer.alloc = function (size, fill, encoding) {\n if (typeof size !== 'number') {\n throw new TypeError('Argument must be a number')\n }\n var buf = Buffer(size)\n if (fill !== undefined) {\n if (typeof encoding === 'string') {\n buf.fill(fill, encoding)\n } else {\n buf.fill(fill)\n }\n } else {\n buf.fill(0)\n }\n return buf\n}\n\nSafeBuffer.allocUnsafe = function (size) {\n if (typeof size !== 'number') {\n throw new TypeError('Argument must be a number')\n }\n return Buffer(size)\n}\n\nSafeBuffer.allocUnsafeSlow = function (size) {\n if (typeof size !== 'number') {\n throw new TypeError('Argument must be a number')\n }\n return buffer.SlowBuffer(size)\n}\n","'use strict';\n\nvar utils = require('../utils');\nvar BN = require('bn.js');\nvar inherits = require('inherits');\nvar Base = require('./base');\n\nvar assert = utils.assert;\n\nfunction ShortCurve(conf) {\n Base.call(this, 'short', conf);\n\n this.a = new BN(conf.a, 16).toRed(this.red);\n this.b = new BN(conf.b, 16).toRed(this.red);\n this.tinv = this.two.redInvm();\n\n this.zeroA = this.a.fromRed().cmpn(0) === 0;\n this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0;\n\n // If the curve is endomorphic, precalculate beta and lambda\n this.endo = this._getEndomorphism(conf);\n this._endoWnafT1 = new Array(4);\n this._endoWnafT2 = new Array(4);\n}\ninherits(ShortCurve, Base);\nmodule.exports = ShortCurve;\n\nShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) {\n // No efficient endomorphism\n if (!this.zeroA || !this.g || !this.n || this.p.modn(3) !== 1)\n return;\n\n // Compute beta and lambda, that lambda * P = (beta * Px; Py)\n var beta;\n var lambda;\n if (conf.beta) {\n beta = new BN(conf.beta, 16).toRed(this.red);\n } else {\n var betas = this._getEndoRoots(this.p);\n // Choose the smallest beta\n beta = betas[0].cmp(betas[1]) < 0 ? betas[0] : betas[1];\n beta = beta.toRed(this.red);\n }\n if (conf.lambda) {\n lambda = new BN(conf.lambda, 16);\n } else {\n // Choose the lambda that is matching selected beta\n var lambdas = this._getEndoRoots(this.n);\n if (this.g.mul(lambdas[0]).x.cmp(this.g.x.redMul(beta)) === 0) {\n lambda = lambdas[0];\n } else {\n lambda = lambdas[1];\n assert(this.g.mul(lambda).x.cmp(this.g.x.redMul(beta)) === 0);\n }\n }\n\n // Get basis vectors, used for balanced length-two representation\n var basis;\n if (conf.basis) {\n basis = conf.basis.map(function(vec) {\n return {\n a: new BN(vec.a, 16),\n b: new BN(vec.b, 16),\n };\n });\n } else {\n basis = this._getEndoBasis(lambda);\n }\n\n return {\n beta: beta,\n lambda: lambda,\n basis: basis,\n };\n};\n\nShortCurve.prototype._getEndoRoots = function _getEndoRoots(num) {\n // Find roots of for x^2 + x + 1 in F\n // Root = (-1 +- Sqrt(-3)) / 2\n //\n var red = num === this.p ? this.red : BN.mont(num);\n var tinv = new BN(2).toRed(red).redInvm();\n var ntinv = tinv.redNeg();\n\n var s = new BN(3).toRed(red).redNeg().redSqrt().redMul(tinv);\n\n var l1 = ntinv.redAdd(s).fromRed();\n var l2 = ntinv.redSub(s).fromRed();\n return [ l1, l2 ];\n};\n\nShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) {\n // aprxSqrt >= sqrt(this.n)\n var aprxSqrt = this.n.ushrn(Math.floor(this.n.bitLength() / 2));\n\n // 3.74\n // Run EGCD, until r(L + 1) < aprxSqrt\n var u = lambda;\n var v = this.n.clone();\n var x1 = new BN(1);\n var y1 = new BN(0);\n var x2 = new BN(0);\n var y2 = new BN(1);\n\n // NOTE: all vectors are roots of: a + b * lambda = 0 (mod n)\n var a0;\n var b0;\n // First vector\n var a1;\n var b1;\n // Second vector\n var a2;\n var b2;\n\n var prevR;\n var i = 0;\n var r;\n var x;\n while (u.cmpn(0) !== 0) {\n var q = v.div(u);\n r = v.sub(q.mul(u));\n x = x2.sub(q.mul(x1));\n var y = y2.sub(q.mul(y1));\n\n if (!a1 && r.cmp(aprxSqrt) < 0) {\n a0 = prevR.neg();\n b0 = x1;\n a1 = r.neg();\n b1 = x;\n } else if (a1 && ++i === 2) {\n break;\n }\n prevR = r;\n\n v = u;\n u = r;\n x2 = x1;\n x1 = x;\n y2 = y1;\n y1 = y;\n }\n a2 = r.neg();\n b2 = x;\n\n var len1 = a1.sqr().add(b1.sqr());\n var len2 = a2.sqr().add(b2.sqr());\n if (len2.cmp(len1) >= 0) {\n a2 = a0;\n b2 = b0;\n }\n\n // Normalize signs\n if (a1.negative) {\n a1 = a1.neg();\n b1 = b1.neg();\n }\n if (a2.negative) {\n a2 = a2.neg();\n b2 = b2.neg();\n }\n\n return [\n { a: a1, b: b1 },\n { a: a2, b: b2 },\n ];\n};\n\nShortCurve.prototype._endoSplit = function _endoSplit(k) {\n var basis = this.endo.basis;\n var v1 = basis[0];\n var v2 = basis[1];\n\n var c1 = v2.b.mul(k).divRound(this.n);\n var c2 = v1.b.neg().mul(k).divRound(this.n);\n\n var p1 = c1.mul(v1.a);\n var p2 = c2.mul(v2.a);\n var q1 = c1.mul(v1.b);\n var q2 = c2.mul(v2.b);\n\n // Calculate answer\n var k1 = k.sub(p1).sub(p2);\n var k2 = q1.add(q2).neg();\n return { k1: k1, k2: k2 };\n};\n\nShortCurve.prototype.pointFromX = function pointFromX(x, odd) {\n x = new BN(x, 16);\n if (!x.red)\n x = x.toRed(this.red);\n\n var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b);\n var y = y2.redSqrt();\n if (y.redSqr().redSub(y2).cmp(this.zero) !== 0)\n throw new Error('invalid point');\n\n // XXX Is there any way to tell if the number is odd without converting it\n // to non-red form?\n var isOdd = y.fromRed().isOdd();\n if (odd && !isOdd || !odd && isOdd)\n y = y.redNeg();\n\n return this.point(x, y);\n};\n\nShortCurve.prototype.validate = function validate(point) {\n if (point.inf)\n return true;\n\n var x = point.x;\n var y = point.y;\n\n var ax = this.a.redMul(x);\n var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b);\n return y.redSqr().redISub(rhs).cmpn(0) === 0;\n};\n\nShortCurve.prototype._endoWnafMulAdd =\n function _endoWnafMulAdd(points, coeffs, jacobianResult) {\n var npoints = this._endoWnafT1;\n var ncoeffs = this._endoWnafT2;\n for (var i = 0; i < points.length; i++) {\n var split = this._endoSplit(coeffs[i]);\n var p = points[i];\n var beta = p._getBeta();\n\n if (split.k1.negative) {\n split.k1.ineg();\n p = p.neg(true);\n }\n if (split.k2.negative) {\n split.k2.ineg();\n beta = beta.neg(true);\n }\n\n npoints[i * 2] = p;\n npoints[i * 2 + 1] = beta;\n ncoeffs[i * 2] = split.k1;\n ncoeffs[i * 2 + 1] = split.k2;\n }\n var res = this._wnafMulAdd(1, npoints, ncoeffs, i * 2, jacobianResult);\n\n // Clean-up references to points and coefficients\n for (var j = 0; j < i * 2; j++) {\n npoints[j] = null;\n ncoeffs[j] = null;\n }\n return res;\n };\n\nfunction Point(curve, x, y, isRed) {\n Base.BasePoint.call(this, curve, 'affine');\n if (x === null && y === null) {\n this.x = null;\n this.y = null;\n this.inf = true;\n } else {\n this.x = new BN(x, 16);\n this.y = new BN(y, 16);\n // Force redgomery representation when loading from JSON\n if (isRed) {\n this.x.forceRed(this.curve.red);\n this.y.forceRed(this.curve.red);\n }\n if (!this.x.red)\n this.x = this.x.toRed(this.curve.red);\n if (!this.y.red)\n this.y = this.y.toRed(this.curve.red);\n this.inf = false;\n }\n}\ninherits(Point, Base.BasePoint);\n\nShortCurve.prototype.point = function point(x, y, isRed) {\n return new Point(this, x, y, isRed);\n};\n\nShortCurve.prototype.pointFromJSON = function pointFromJSON(obj, red) {\n return Point.fromJSON(this, obj, red);\n};\n\nPoint.prototype._getBeta = function _getBeta() {\n if (!this.curve.endo)\n return;\n\n var pre = this.precomputed;\n if (pre && pre.beta)\n return pre.beta;\n\n var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y);\n if (pre) {\n var curve = this.curve;\n var endoMul = function(p) {\n return curve.point(p.x.redMul(curve.endo.beta), p.y);\n };\n pre.beta = beta;\n beta.precomputed = {\n beta: null,\n naf: pre.naf && {\n wnd: pre.naf.wnd,\n points: pre.naf.points.map(endoMul),\n },\n doubles: pre.doubles && {\n step: pre.doubles.step,\n points: pre.doubles.points.map(endoMul),\n },\n };\n }\n return beta;\n};\n\nPoint.prototype.toJSON = function toJSON() {\n if (!this.precomputed)\n return [ this.x, this.y ];\n\n return [ this.x, this.y, this.precomputed && {\n doubles: this.precomputed.doubles && {\n step: this.precomputed.doubles.step,\n points: this.precomputed.doubles.points.slice(1),\n },\n naf: this.precomputed.naf && {\n wnd: this.precomputed.naf.wnd,\n points: this.precomputed.naf.points.slice(1),\n },\n } ];\n};\n\nPoint.fromJSON = function fromJSON(curve, obj, red) {\n if (typeof obj === 'string')\n obj = JSON.parse(obj);\n var res = curve.point(obj[0], obj[1], red);\n if (!obj[2])\n return res;\n\n function obj2point(obj) {\n return curve.point(obj[0], obj[1], red);\n }\n\n var pre = obj[2];\n res.precomputed = {\n beta: null,\n doubles: pre.doubles && {\n step: pre.doubles.step,\n points: [ res ].concat(pre.doubles.points.map(obj2point)),\n },\n naf: pre.naf && {\n wnd: pre.naf.wnd,\n points: [ res ].concat(pre.naf.points.map(obj2point)),\n },\n };\n return res;\n};\n\nPoint.prototype.inspect = function inspect() {\n if (this.isInfinity())\n return '<EC Point Infinity>';\n return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +\n ' y: ' + this.y.fromRed().toString(16, 2) + '>';\n};\n\nPoint.prototype.isInfinity = function isInfinity() {\n return this.inf;\n};\n\nPoint.prototype.add = function add(p) {\n // O + P = P\n if (this.inf)\n return p;\n\n // P + O = P\n if (p.inf)\n return this;\n\n // P + P = 2P\n if (this.eq(p))\n return this.dbl();\n\n // P + (-P) = O\n if (this.neg().eq(p))\n return this.curve.point(null, null);\n\n // P + Q = O\n if (this.x.cmp(p.x) === 0)\n return this.curve.point(null, null);\n\n var c = this.y.redSub(p.y);\n if (c.cmpn(0) !== 0)\n c = c.redMul(this.x.redSub(p.x).redInvm());\n var nx = c.redSqr().redISub(this.x).redISub(p.x);\n var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);\n return this.curve.point(nx, ny);\n};\n\nPoint.prototype.dbl = function dbl() {\n if (this.inf)\n return this;\n\n // 2P = O\n var ys1 = this.y.redAdd(this.y);\n if (ys1.cmpn(0) === 0)\n return this.curve.point(null, null);\n\n var a = this.curve.a;\n\n var x2 = this.x.redSqr();\n var dyinv = ys1.redInvm();\n var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv);\n\n var nx = c.redSqr().redISub(this.x.redAdd(this.x));\n var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);\n return this.curve.point(nx, ny);\n};\n\nPoint.prototype.getX = function getX() {\n return this.x.fromRed();\n};\n\nPoint.prototype.getY = function getY() {\n return this.y.fromRed();\n};\n\nPoint.prototype.mul = function mul(k) {\n k = new BN(k, 16);\n if (this.isInfinity())\n return this;\n else if (this._hasDoubles(k))\n return this.curve._fixedNafMul(this, k);\n else if (this.curve.endo)\n return this.curve._endoWnafMulAdd([ this ], [ k ]);\n else\n return this.curve._wnafMul(this, k);\n};\n\nPoint.prototype.mulAdd = function mulAdd(k1, p2, k2) {\n var points = [ this, p2 ];\n var coeffs = [ k1, k2 ];\n if (this.curve.endo)\n return this.curve._endoWnafMulAdd(points, coeffs);\n else\n return this.curve._wnafMulAdd(1, points, coeffs, 2);\n};\n\nPoint.prototype.jmulAdd = function jmulAdd(k1, p2, k2) {\n var points = [ this, p2 ];\n var coeffs = [ k1, k2 ];\n if (this.curve.endo)\n return this.curve._endoWnafMulAdd(points, coeffs, true);\n else\n return this.curve._wnafMulAdd(1, points, coeffs, 2, true);\n};\n\nPoint.prototype.eq = function eq(p) {\n return this === p ||\n this.inf === p.inf &&\n (this.inf || this.x.cmp(p.x) === 0 && this.y.cmp(p.y) === 0);\n};\n\nPoint.prototype.neg = function neg(_precompute) {\n if (this.inf)\n return this;\n\n var res = this.curve.point(this.x, this.y.redNeg());\n if (_precompute && this.precomputed) {\n var pre = this.precomputed;\n var negate = function(p) {\n return p.neg();\n };\n res.precomputed = {\n naf: pre.naf && {\n wnd: pre.naf.wnd,\n points: pre.naf.points.map(negate),\n },\n doubles: pre.doubles && {\n step: pre.doubles.step,\n points: pre.doubles.points.map(negate),\n },\n };\n }\n return res;\n};\n\nPoint.prototype.toJ = function toJ() {\n if (this.inf)\n return this.curve.jpoint(null, null, null);\n\n var res = this.curve.jpoint(this.x, this.y, this.curve.one);\n return res;\n};\n\nfunction JPoint(curve, x, y, z) {\n Base.BasePoint.call(this, curve, 'jacobian');\n if (x === null && y === null && z === null) {\n this.x = this.curve.one;\n this.y = this.curve.one;\n this.z = new BN(0);\n } else {\n this.x = new BN(x, 16);\n this.y = new BN(y, 16);\n this.z = new BN(z, 16);\n }\n if (!this.x.red)\n this.x = this.x.toRed(this.curve.red);\n if (!this.y.red)\n this.y = this.y.toRed(this.curve.red);\n if (!this.z.red)\n this.z = this.z.toRed(this.curve.red);\n\n this.zOne = this.z === this.curve.one;\n}\ninherits(JPoint, Base.BasePoint);\n\nShortCurve.prototype.jpoint = function jpoint(x, y, z) {\n return new JPoint(this, x, y, z);\n};\n\nJPoint.prototype.toP = function toP() {\n if (this.isInfinity())\n return this.curve.point(null, null);\n\n var zinv = this.z.redInvm();\n var zinv2 = zinv.redSqr();\n var ax = this.x.redMul(zinv2);\n var ay = this.y.redMul(zinv2).redMul(zinv);\n\n return this.curve.point(ax, ay);\n};\n\nJPoint.prototype.neg = function neg() {\n return this.curve.jpoint(this.x, this.y.redNeg(), this.z);\n};\n\nJPoint.prototype.add = function add(p) {\n // O + P = P\n if (this.isInfinity())\n return p;\n\n // P + O = P\n if (p.isInfinity())\n return this;\n\n // 12M + 4S + 7A\n var pz2 = p.z.redSqr();\n var z2 = this.z.redSqr();\n var u1 = this.x.redMul(pz2);\n var u2 = p.x.redMul(z2);\n var s1 = this.y.redMul(pz2.redMul(p.z));\n var s2 = p.y.redMul(z2.redMul(this.z));\n\n var h = u1.redSub(u2);\n var r = s1.redSub(s2);\n if (h.cmpn(0) === 0) {\n if (r.cmpn(0) !== 0)\n return this.curve.jpoint(null, null, null);\n else\n return this.dbl();\n }\n\n var h2 = h.redSqr();\n var h3 = h2.redMul(h);\n var v = u1.redMul(h2);\n\n var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);\n var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));\n var nz = this.z.redMul(p.z).redMul(h);\n\n return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype.mixedAdd = function mixedAdd(p) {\n // O + P = P\n if (this.isInfinity())\n return p.toJ();\n\n // P + O = P\n if (p.isInfinity())\n return this;\n\n // 8M + 3S + 7A\n var z2 = this.z.redSqr();\n var u1 = this.x;\n var u2 = p.x.redMul(z2);\n var s1 = this.y;\n var s2 = p.y.redMul(z2).redMul(this.z);\n\n var h = u1.redSub(u2);\n var r = s1.redSub(s2);\n if (h.cmpn(0) === 0) {\n if (r.cmpn(0) !== 0)\n return this.curve.jpoint(null, null, null);\n else\n return this.dbl();\n }\n\n var h2 = h.redSqr();\n var h3 = h2.redMul(h);\n var v = u1.redMul(h2);\n\n var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);\n var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));\n var nz = this.z.redMul(h);\n\n return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype.dblp = function dblp(pow) {\n if (pow === 0)\n return this;\n if (this.isInfinity())\n return this;\n if (!pow)\n return this.dbl();\n\n var i;\n if (this.curve.zeroA || this.curve.threeA) {\n var r = this;\n for (i = 0; i < pow; i++)\n r = r.dbl();\n return r;\n }\n\n // 1M + 2S + 1A + N * (4S + 5M + 8A)\n // N = 1 => 6M + 6S + 9A\n var a = this.curve.a;\n var tinv = this.curve.tinv;\n\n var jx = this.x;\n var jy = this.y;\n var jz = this.z;\n var jz4 = jz.redSqr().redSqr();\n\n // Reuse results\n var jyd = jy.redAdd(jy);\n for (i = 0; i < pow; i++) {\n var jx2 = jx.redSqr();\n var jyd2 = jyd.redSqr();\n var jyd4 = jyd2.redSqr();\n var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));\n\n var t1 = jx.redMul(jyd2);\n var nx = c.redSqr().redISub(t1.redAdd(t1));\n var t2 = t1.redISub(nx);\n var dny = c.redMul(t2);\n dny = dny.redIAdd(dny).redISub(jyd4);\n var nz = jyd.redMul(jz);\n if (i + 1 < pow)\n jz4 = jz4.redMul(jyd4);\n\n jx = nx;\n jz = nz;\n jyd = dny;\n }\n\n return this.curve.jpoint(jx, jyd.redMul(tinv), jz);\n};\n\nJPoint.prototype.dbl = function dbl() {\n if (this.isInfinity())\n return this;\n\n if (this.curve.zeroA)\n return this._zeroDbl();\n else if (this.curve.threeA)\n return this._threeDbl();\n else\n return this._dbl();\n};\n\nJPoint.prototype._zeroDbl = function _zeroDbl() {\n var nx;\n var ny;\n var nz;\n // Z = 1\n if (this.zOne) {\n // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html\n // #doubling-mdbl-2007-bl\n // 1M + 5S + 14A\n\n // XX = X1^2\n var xx = this.x.redSqr();\n // YY = Y1^2\n var yy = this.y.redSqr();\n // YYYY = YY^2\n var yyyy = yy.redSqr();\n // S = 2 * ((X1 + YY)^2 - XX - YYYY)\n var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);\n s = s.redIAdd(s);\n // M = 3 * XX + a; a = 0\n var m = xx.redAdd(xx).redIAdd(xx);\n // T = M ^ 2 - 2*S\n var t = m.redSqr().redISub(s).redISub(s);\n\n // 8 * YYYY\n var yyyy8 = yyyy.redIAdd(yyyy);\n yyyy8 = yyyy8.redIAdd(yyyy8);\n yyyy8 = yyyy8.redIAdd(yyyy8);\n\n // X3 = T\n nx = t;\n // Y3 = M * (S - T) - 8 * YYYY\n ny = m.redMul(s.redISub(t)).redISub(yyyy8);\n // Z3 = 2*Y1\n nz = this.y.redAdd(this.y);\n } else {\n // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html\n // #doubling-dbl-2009-l\n // 2M + 5S + 13A\n\n // A = X1^2\n var a = this.x.redSqr();\n // B = Y1^2\n var b = this.y.redSqr();\n // C = B^2\n var c = b.redSqr();\n // D = 2 * ((X1 + B)^2 - A - C)\n var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c);\n d = d.redIAdd(d);\n // E = 3 * A\n var e = a.redAdd(a).redIAdd(a);\n // F = E^2\n var f = e.redSqr();\n\n // 8 * C\n var c8 = c.redIAdd(c);\n c8 = c8.redIAdd(c8);\n c8 = c8.redIAdd(c8);\n\n // X3 = F - 2 * D\n nx = f.redISub(d).redISub(d);\n // Y3 = E * (D - X3) - 8 * C\n ny = e.redMul(d.redISub(nx)).redISub(c8);\n // Z3 = 2 * Y1 * Z1\n nz = this.y.redMul(this.z);\n nz = nz.redIAdd(nz);\n }\n\n return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype._threeDbl = function _threeDbl() {\n var nx;\n var ny;\n var nz;\n // Z = 1\n if (this.zOne) {\n // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html\n // #doubling-mdbl-2007-bl\n // 1M + 5S + 15A\n\n // XX = X1^2\n var xx = this.x.redSqr();\n // YY = Y1^2\n var yy = this.y.redSqr();\n // YYYY = YY^2\n var yyyy = yy.redSqr();\n // S = 2 * ((X1 + YY)^2 - XX - YYYY)\n var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);\n s = s.redIAdd(s);\n // M = 3 * XX + a\n var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a);\n // T = M^2 - 2 * S\n var t = m.redSqr().redISub(s).redISub(s);\n // X3 = T\n nx = t;\n // Y3 = M * (S - T) - 8 * YYYY\n var yyyy8 = yyyy.redIAdd(yyyy);\n yyyy8 = yyyy8.redIAdd(yyyy8);\n yyyy8 = yyyy8.redIAdd(yyyy8);\n ny = m.redMul(s.redISub(t)).redISub(yyyy8);\n // Z3 = 2 * Y1\n nz = this.y.redAdd(this.y);\n } else {\n // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b\n // 3M + 5S\n\n // delta = Z1^2\n var delta = this.z.redSqr();\n // gamma = Y1^2\n var gamma = this.y.redSqr();\n // beta = X1 * gamma\n var beta = this.x.redMul(gamma);\n // alpha = 3 * (X1 - delta) * (X1 + delta)\n var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta));\n alpha = alpha.redAdd(alpha).redIAdd(alpha);\n // X3 = alpha^2 - 8 * beta\n var beta4 = beta.redIAdd(beta);\n beta4 = beta4.redIAdd(beta4);\n var beta8 = beta4.redAdd(beta4);\n nx = alpha.redSqr().redISub(beta8);\n // Z3 = (Y1 + Z1)^2 - gamma - delta\n nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta);\n // Y3 = alpha * (4 * beta - X3) - 8 * gamma^2\n var ggamma8 = gamma.redSqr();\n ggamma8 = ggamma8.redIAdd(ggamma8);\n ggamma8 = ggamma8.redIAdd(ggamma8);\n ggamma8 = ggamma8.redIAdd(ggamma8);\n ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8);\n }\n\n return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype._dbl = function _dbl() {\n var a = this.curve.a;\n\n // 4M + 6S + 10A\n var jx = this.x;\n var jy = this.y;\n var jz = this.z;\n var jz4 = jz.redSqr().redSqr();\n\n var jx2 = jx.redSqr();\n var jy2 = jy.redSqr();\n\n var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));\n\n var jxd4 = jx.redAdd(jx);\n jxd4 = jxd4.redIAdd(jxd4);\n var t1 = jxd4.redMul(jy2);\n var nx = c.redSqr().redISub(t1.redAdd(t1));\n var t2 = t1.redISub(nx);\n\n var jyd8 = jy2.redSqr();\n jyd8 = jyd8.redIAdd(jyd8);\n jyd8 = jyd8.redIAdd(jyd8);\n jyd8 = jyd8.redIAdd(jyd8);\n var ny = c.redMul(t2).redISub(jyd8);\n var nz = jy.redAdd(jy).redMul(jz);\n\n return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype.trpl = function trpl() {\n if (!this.curve.zeroA)\n return this.dbl().add(this);\n\n // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#tripling-tpl-2007-bl\n // 5M + 10S + ...\n\n // XX = X1^2\n var xx = this.x.redSqr();\n // YY = Y1^2\n var yy = this.y.redSqr();\n // ZZ = Z1^2\n var zz = this.z.redSqr();\n // YYYY = YY^2\n var yyyy = yy.redSqr();\n // M = 3 * XX + a * ZZ2; a = 0\n var m = xx.redAdd(xx).redIAdd(xx);\n // MM = M^2\n var mm = m.redSqr();\n // E = 6 * ((X1 + YY)^2 - XX - YYYY) - MM\n var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);\n e = e.redIAdd(e);\n e = e.redAdd(e).redIAdd(e);\n e = e.redISub(mm);\n // EE = E^2\n var ee = e.redSqr();\n // T = 16*YYYY\n var t = yyyy.redIAdd(yyyy);\n t = t.redIAdd(t);\n t = t.redIAdd(t);\n t = t.redIAdd(t);\n // U = (M + E)^2 - MM - EE - T\n var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t);\n // X3 = 4 * (X1 * EE - 4 * YY * U)\n var yyu4 = yy.redMul(u);\n yyu4 = yyu4.redIAdd(yyu4);\n yyu4 = yyu4.redIAdd(yyu4);\n var nx = this.x.redMul(ee).redISub(yyu4);\n nx = nx.redIAdd(nx);\n nx = nx.redIAdd(nx);\n // Y3 = 8 * Y1 * (U * (T - U) - E * EE)\n var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee)));\n ny = ny.redIAdd(ny);\n ny = ny.redIAdd(ny);\n ny = ny.redIAdd(ny);\n // Z3 = (Z1 + E)^2 - ZZ - EE\n var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee);\n\n return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype.mul = function mul(k, kbase) {\n k = new BN(k, kbase);\n\n return this.curve._wnafMul(this, k);\n};\n\nJPoint.prototype.eq = function eq(p) {\n if (p.type === 'affine')\n return this.eq(p.toJ());\n\n if (this === p)\n return true;\n\n // x1 * z2^2 == x2 * z1^2\n var z2 = this.z.redSqr();\n var pz2 = p.z.redSqr();\n if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0)\n return false;\n\n // y1 * z2^3 == y2 * z1^3\n var z3 = z2.redMul(this.z);\n var pz3 = pz2.redMul(p.z);\n return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0;\n};\n\nJPoint.prototype.eqXToP = function eqXToP(x) {\n var zs = this.z.redSqr();\n var rx = x.toRed(this.curve.red).redMul(zs);\n if (this.x.cmp(rx) === 0)\n return true;\n\n var xc = x.clone();\n var t = this.curve.redN.redMul(zs);\n for (;;) {\n xc.iadd(this.curve.n);\n if (xc.cmp(this.curve.p) >= 0)\n return false;\n\n rx.redIAdd(t);\n if (this.x.cmp(rx) === 0)\n return true;\n }\n};\n\nJPoint.prototype.inspect = function inspect() {\n if (this.isInfinity())\n return '<EC JPoint Infinity>';\n return '<EC JPoint x: ' + this.x.toString(16, 2) +\n ' y: ' + this.y.toString(16, 2) +\n ' z: ' + this.z.toString(16, 2) + '>';\n};\n\nJPoint.prototype.isInfinity = function isInfinity() {\n // XXX This code assumes that zero is always zero in red\n return this.z.cmpn(0) === 0;\n};\n","'use strict';\n\nvar BN = require('bn.js');\nvar utils = require('../utils');\nvar getNAF = utils.getNAF;\nvar getJSF = utils.getJSF;\nvar assert = utils.assert;\n\nfunction BaseCurve(type, conf) {\n this.type = type;\n this.p = new BN(conf.p, 16);\n\n // Use Montgomery, when there is no fast reduction for the prime\n this.red = conf.prime ? BN.red(conf.prime) : BN.mont(this.p);\n\n // Useful for many curves\n this.zero = new BN(0).toRed(this.red);\n this.one = new BN(1).toRed(this.red);\n this.two = new BN(2).toRed(this.red);\n\n // Curve configuration, optional\n this.n = conf.n && new BN(conf.n, 16);\n this.g = conf.g && this.pointFromJSON(conf.g, conf.gRed);\n\n // Temporary arrays\n this._wnafT1 = new Array(4);\n this._wnafT2 = new Array(4);\n this._wnafT3 = new Array(4);\n this._wnafT4 = new Array(4);\n\n this._bitLength = this.n ? this.n.bitLength() : 0;\n\n // Generalized Greg Maxwell's trick\n var adjustCount = this.n && this.p.div(this.n);\n if (!adjustCount || adjustCount.cmpn(100) > 0) {\n this.redN = null;\n } else {\n this._maxwellTrick = true;\n this.redN = this.n.toRed(this.red);\n }\n}\nmodule.exports = BaseCurve;\n\nBaseCurve.prototype.point = function point() {\n throw new Error('Not implemented');\n};\n\nBaseCurve.prototype.validate = function validate() {\n throw new Error('Not implemented');\n};\n\nBaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) {\n assert(p.precomputed);\n var doubles = p._getDoubles();\n\n var naf = getNAF(k, 1, this._bitLength);\n var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1);\n I /= 3;\n\n // Translate into more windowed form\n var repr = [];\n var j;\n var nafW;\n for (j = 0; j < naf.length; j += doubles.step) {\n nafW = 0;\n for (var l = j + doubles.step - 1; l >= j; l--)\n nafW = (nafW << 1) + naf[l];\n repr.push(nafW);\n }\n\n var a = this.jpoint(null, null, null);\n var b = this.jpoint(null, null, null);\n for (var i = I; i > 0; i--) {\n for (j = 0; j < repr.length; j++) {\n nafW = repr[j];\n if (nafW === i)\n b = b.mixedAdd(doubles.points[j]);\n else if (nafW === -i)\n b = b.mixedAdd(doubles.points[j].neg());\n }\n a = a.add(b);\n }\n return a.toP();\n};\n\nBaseCurve.prototype._wnafMul = function _wnafMul(p, k) {\n var w = 4;\n\n // Precompute window\n var nafPoints = p._getNAFPoints(w);\n w = nafPoints.wnd;\n var wnd = nafPoints.points;\n\n // Get NAF form\n var naf = getNAF(k, w, this._bitLength);\n\n // Add `this`*(N+1) for every w-NAF index\n var acc = this.jpoint(null, null, null);\n for (var i = naf.length - 1; i >= 0; i--) {\n // Count zeroes\n for (var l = 0; i >= 0 && naf[i] === 0; i--)\n l++;\n if (i >= 0)\n l++;\n acc = acc.dblp(l);\n\n if (i < 0)\n break;\n var z = naf[i];\n assert(z !== 0);\n if (p.type === 'affine') {\n // J +- P\n if (z > 0)\n acc = acc.mixedAdd(wnd[(z - 1) >> 1]);\n else\n acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg());\n } else {\n // J +- J\n if (z > 0)\n acc = acc.add(wnd[(z - 1) >> 1]);\n else\n acc = acc.add(wnd[(-z - 1) >> 1].neg());\n }\n }\n return p.type === 'affine' ? acc.toP() : acc;\n};\n\nBaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW,\n points,\n coeffs,\n len,\n jacobianResult) {\n var wndWidth = this._wnafT1;\n var wnd = this._wnafT2;\n var naf = this._wnafT3;\n\n // Fill all arrays\n var max = 0;\n var i;\n var j;\n var p;\n for (i = 0; i < len; i++) {\n p = points[i];\n var nafPoints = p._getNAFPoints(defW);\n wndWidth[i] = nafPoints.wnd;\n wnd[i] = nafPoints.points;\n }\n\n // Comb small window NAFs\n for (i = len - 1; i >= 1; i -= 2) {\n var a = i - 1;\n var b = i;\n if (wndWidth[a] !== 1 || wndWidth[b] !== 1) {\n naf[a] = getNAF(coeffs[a], wndWidth[a], this._bitLength);\n naf[b] = getNAF(coeffs[b], wndWidth[b], this._bitLength);\n max = Math.max(naf[a].length, max);\n max = Math.max(naf[b].length, max);\n continue;\n }\n\n var comb = [\n points[a], /* 1 */\n null, /* 3 */\n null, /* 5 */\n points[b], /* 7 */\n ];\n\n // Try to avoid Projective points, if possible\n if (points[a].y.cmp(points[b].y) === 0) {\n comb[1] = points[a].add(points[b]);\n comb[2] = points[a].toJ().mixedAdd(points[b].neg());\n } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) {\n comb[1] = points[a].toJ().mixedAdd(points[b]);\n comb[2] = points[a].add(points[b].neg());\n } else {\n comb[1] = points[a].toJ().mixedAdd(points[b]);\n comb[2] = points[a].toJ().mixedAdd(points[b].neg());\n }\n\n var index = [\n -3, /* -1 -1 */\n -1, /* -1 0 */\n -5, /* -1 1 */\n -7, /* 0 -1 */\n 0, /* 0 0 */\n 7, /* 0 1 */\n 5, /* 1 -1 */\n 1, /* 1 0 */\n 3, /* 1 1 */\n ];\n\n var jsf = getJSF(coeffs[a], coeffs[b]);\n max = Math.max(jsf[0].length, max);\n naf[a] = new Array(max);\n naf[b] = new Array(max);\n for (j = 0; j < max; j++) {\n var ja = jsf[0][j] | 0;\n var jb = jsf[1][j] | 0;\n\n naf[a][j] = index[(ja + 1) * 3 + (jb + 1)];\n naf[b][j] = 0;\n wnd[a] = comb;\n }\n }\n\n var acc = this.jpoint(null, null, null);\n var tmp = this._wnafT4;\n for (i = max; i >= 0; i--) {\n var k = 0;\n\n while (i >= 0) {\n var zero = true;\n for (j = 0; j < len; j++) {\n tmp[j] = naf[j][i] | 0;\n if (tmp[j] !== 0)\n zero = false;\n }\n if (!zero)\n break;\n k++;\n i--;\n }\n if (i >= 0)\n k++;\n acc = acc.dblp(k);\n if (i < 0)\n break;\n\n for (j = 0; j < len; j++) {\n var z = tmp[j];\n p;\n if (z === 0)\n continue;\n else if (z > 0)\n p = wnd[j][(z - 1) >> 1];\n else if (z < 0)\n p = wnd[j][(-z - 1) >> 1].neg();\n\n if (p.type === 'affine')\n acc = acc.mixedAdd(p);\n else\n acc = acc.add(p);\n }\n }\n // Zeroify references\n for (i = 0; i < len; i++)\n wnd[i] = null;\n\n if (jacobianResult)\n return acc;\n else\n return acc.toP();\n};\n\nfunction BasePoint(curve, type) {\n this.curve = curve;\n this.type = type;\n this.precomputed = null;\n}\nBaseCurve.BasePoint = BasePoint;\n\nBasePoint.prototype.eq = function eq(/*other*/) {\n throw new Error('Not implemented');\n};\n\nBasePoint.prototype.validate = function validate() {\n return this.curve.validate(this);\n};\n\nBaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) {\n bytes = utils.toArray(bytes, enc);\n\n var len = this.p.byteLength();\n\n // uncompressed, hybrid-odd, hybrid-even\n if ((bytes[0] === 0x04 || bytes[0] === 0x06 || bytes[0] === 0x07) &&\n bytes.length - 1 === 2 * len) {\n if (bytes[0] === 0x06)\n assert(bytes[bytes.length - 1] % 2 === 0);\n else if (bytes[0] === 0x07)\n assert(bytes[bytes.length - 1] % 2 === 1);\n\n var res = this.point(bytes.slice(1, 1 + len),\n bytes.slice(1 + len, 1 + 2 * len));\n\n return res;\n } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) &&\n bytes.length - 1 === len) {\n return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03);\n }\n throw new Error('Unknown point format');\n};\n\nBasePoint.prototype.encodeCompressed = function encodeCompressed(enc) {\n return this.encode(enc, true);\n};\n\nBasePoint.prototype._encode = function _encode(compact) {\n var len = this.curve.p.byteLength();\n var x = this.getX().toArray('be', len);\n\n if (compact)\n return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x);\n\n return [ 0x04 ].concat(x, this.getY().toArray('be', len));\n};\n\nBasePoint.prototype.encode = function encode(enc, compact) {\n return utils.encode(this._encode(compact), enc);\n};\n\nBasePoint.prototype.precompute = function precompute(power) {\n if (this.precomputed)\n return this;\n\n var precomputed = {\n doubles: null,\n naf: null,\n beta: null,\n };\n precomputed.naf = this._getNAFPoints(8);\n precomputed.doubles = this._getDoubles(4, power);\n precomputed.beta = this._getBeta();\n this.precomputed = precomputed;\n\n return this;\n};\n\nBasePoint.prototype._hasDoubles = function _hasDoubles(k) {\n if (!this.precomputed)\n return false;\n\n var doubles = this.precomputed.doubles;\n if (!doubles)\n return false;\n\n return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step);\n};\n\nBasePoint.prototype._getDoubles = function _getDoubles(step, power) {\n if (this.precomputed && this.precomputed.doubles)\n return this.precomputed.doubles;\n\n var doubles = [ this ];\n var acc = this;\n for (var i = 0; i < power; i += step) {\n for (var j = 0; j < step; j++)\n acc = acc.dbl();\n doubles.push(acc);\n }\n return {\n step: step,\n points: doubles,\n };\n};\n\nBasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) {\n if (this.precomputed && this.precomputed.naf)\n return this.precomputed.naf;\n\n var res = [ this ];\n var max = (1 << wnd) - 1;\n var dbl = max === 1 ? null : this.dbl();\n for (var i = 1; i < max; i++)\n res[i] = res[i - 1].add(dbl);\n return {\n wnd: wnd,\n points: res,\n };\n};\n\nBasePoint.prototype._getBeta = function _getBeta() {\n return null;\n};\n\nBasePoint.prototype.dblp = function dblp(k) {\n var r = this;\n for (var i = 0; i < k; i++)\n r = r.dbl();\n return r;\n};\n","'use strict';\n\nvar utils = exports;\nvar BN = require('bn.js');\nvar minAssert = require('minimalistic-assert');\nvar minUtils = require('minimalistic-crypto-utils');\n\nutils.assert = minAssert;\nutils.toArray = minUtils.toArray;\nutils.zero2 = minUtils.zero2;\nutils.toHex = minUtils.toHex;\nutils.encode = minUtils.encode;\n\n// Represent num in a w-NAF form\nfunction getNAF(num, w, bits) {\n var naf = new Array(Math.max(num.bitLength(), bits) + 1);\n var i;\n for (i = 0; i < naf.length; i += 1) {\n naf[i] = 0;\n }\n\n var ws = 1 << (w + 1);\n var k = num.clone();\n\n for (i = 0; i < naf.length; i++) {\n var z;\n var mod = k.andln(ws - 1);\n if (k.isOdd()) {\n if (mod > (ws >> 1) - 1)\n z = (ws >> 1) - mod;\n else\n z = mod;\n k.isubn(z);\n } else {\n z = 0;\n }\n\n naf[i] = z;\n k.iushrn(1);\n }\n\n return naf;\n}\nutils.getNAF = getNAF;\n\n// Represent k1, k2 in a Joint Sparse Form\nfunction getJSF(k1, k2) {\n var jsf = [\n [],\n [],\n ];\n\n k1 = k1.clone();\n k2 = k2.clone();\n var d1 = 0;\n var d2 = 0;\n var m8;\n while (k1.cmpn(-d1) > 0 || k2.cmpn(-d2) > 0) {\n // First phase\n var m14 = (k1.andln(3) + d1) & 3;\n var m24 = (k2.andln(3) + d2) & 3;\n if (m14 === 3)\n m14 = -1;\n if (m24 === 3)\n m24 = -1;\n var u1;\n if ((m14 & 1) === 0) {\n u1 = 0;\n } else {\n m8 = (k1.andln(7) + d1) & 7;\n if ((m8 === 3 || m8 === 5) && m24 === 2)\n u1 = -m14;\n else\n u1 = m14;\n }\n jsf[0].push(u1);\n\n var u2;\n if ((m24 & 1) === 0) {\n u2 = 0;\n } else {\n m8 = (k2.andln(7) + d2) & 7;\n if ((m8 === 3 || m8 === 5) && m14 === 2)\n u2 = -m24;\n else\n u2 = m24;\n }\n jsf[1].push(u2);\n\n // Second phase\n if (2 * d1 === u1 + 1)\n d1 = 1 - d1;\n if (2 * d2 === u2 + 1)\n d2 = 1 - d2;\n k1.iushrn(1);\n k2.iushrn(1);\n }\n\n return jsf;\n}\nutils.getJSF = getJSF;\n\nfunction cachedProperty(obj, name, computer) {\n var key = '_' + name;\n obj.prototype[name] = function cachedProperty() {\n return this[key] !== undefined ? this[key] :\n this[key] = computer.call(this);\n };\n}\nutils.cachedProperty = cachedProperty;\n\nfunction parseBytes(bytes) {\n return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') :\n bytes;\n}\nutils.parseBytes = parseBytes;\n\nfunction intFromLE(bytes) {\n return new BN(bytes, 'hex', 'le');\n}\nutils.intFromLE = intFromLE;\n\n"],"names":[],"sourceRoot":""}