diff --git a/.gitignore b/.gitignore index 69b201b..bd63979 100644 --- a/.gitignore +++ b/.gitignore @@ -1,6 +1,9 @@ /.dev -node_modules/ -lib +/lib +/node_modules/* +!/node_modules/asn1.js/ +!/node_modules/bn.js/ +!/node_modules/minimalistic-assert.js/ # Jetbrains /.idea diff --git a/node_modules/asn1.js/.eslintrc.js b/node_modules/asn1.js/.eslintrc.js new file mode 100644 index 0000000..6b5dc44 --- /dev/null +++ b/node_modules/asn1.js/.eslintrc.js @@ -0,0 +1,27 @@ +module.exports = { + 'env': { + 'browser': false, + 'commonjs': true, + 'es6': true, + 'node': true + }, + 'extends': 'eslint:recommended', + 'rules': { + 'indent': [ + 'error', + 2 + ], + 'linebreak-style': [ + 'error', + 'unix' + ], + 'quotes': [ + 'error', + 'single' + ], + 'semi': [ + 'error', + 'always' + ] + } +}; diff --git a/node_modules/asn1.js/LICENSE b/node_modules/asn1.js/LICENSE new file mode 100644 index 0000000..caaf4f2 --- /dev/null +++ b/node_modules/asn1.js/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2017 Fedor Indutny + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/node_modules/asn1.js/README.md b/node_modules/asn1.js/README.md new file mode 100644 index 0000000..9f04af7 --- /dev/null +++ b/node_modules/asn1.js/README.md @@ -0,0 +1,100 @@ +# ASN1.js + +ASN.1 DER Encoder/Decoder and DSL. + +## Example + +Define model: + +```javascript +var asn = require('asn1.js'); + +var Human = asn.define('Human', function() { + this.seq().obj( + this.key('firstName').octstr(), + this.key('lastName').octstr(), + this.key('age').int(), + this.key('gender').enum({ 0: 'male', 1: 'female' }), + this.key('bio').seqof(Bio) + ); +}); + +var Bio = asn.define('Bio', function() { + this.seq().obj( + this.key('time').gentime(), + this.key('description').octstr() + ); +}); +``` + +Encode data: + +```javascript +var output = Human.encode({ + firstName: 'Thomas', + lastName: 'Anderson', + age: 28, + gender: 'male', + bio: [ + { + time: +new Date('31 March 1999'), + description: 'freedom of mind' + } + ] +}, 'der'); +``` + +Decode data: + +```javascript +var human = Human.decode(output, 'der'); +console.log(human); +/* +{ firstName: , + lastName: , + age: 28, + gender: 'male', + bio: + [ { time: 922820400000, + description: } ] } +*/ +``` + +### Partial decode + +Its possible to parse data without stopping on first error. In order to do it, +you should call: + +```javascript +var human = Human.decode(output, 'der', { partial: true }); +console.log(human); +/* +{ result: { ... }, + errors: [ ... ] } +*/ +``` + +#### LICENSE + +This software is licensed under the MIT License. + +Copyright Fedor Indutny, 2017. + +Permission is hereby granted, free of charge, to any person obtaining a +copy of this software and associated documentation files (the +"Software"), to deal in the Software without restriction, including +without limitation the rights to use, copy, modify, merge, publish, +distribute, sublicense, and/or sell copies of the Software, and to permit +persons to whom the Software is furnished to do so, subject to the +following conditions: + +The above copyright notice and this permission notice shall be included +in all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS +OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN +NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, +DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR +OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE +USE OR OTHER DEALINGS IN THE SOFTWARE. diff --git a/node_modules/asn1.js/lib/asn1.js b/node_modules/asn1.js/lib/asn1.js new file mode 100644 index 0000000..c7d70b8 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1.js @@ -0,0 +1,11 @@ +'use strict'; + +const asn1 = exports; + +asn1.bignum = require('bn.js'); + +asn1.define = require('./asn1/api').define; +asn1.base = require('./asn1/base'); +asn1.constants = require('./asn1/constants'); +asn1.decoders = require('./asn1/decoders'); +asn1.encoders = require('./asn1/encoders'); diff --git a/node_modules/asn1.js/lib/asn1/api.js b/node_modules/asn1.js/lib/asn1/api.js new file mode 100644 index 0000000..61e3eb2 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/api.js @@ -0,0 +1,57 @@ +'use strict'; + +const encoders = require('./encoders'); +const decoders = require('./decoders'); +const inherits = require('inherits'); + +const api = exports; + +api.define = function define(name, body) { + return new Entity(name, body); +}; + +function Entity(name, body) { + this.name = name; + this.body = body; + + this.decoders = {}; + this.encoders = {}; +} + +Entity.prototype._createNamed = function createNamed(Base) { + const name = this.name; + + function Generated(entity) { + this._initNamed(entity, name); + } + inherits(Generated, Base); + Generated.prototype._initNamed = function _initNamed(entity, name) { + Base.call(this, entity, name); + }; + + return new Generated(this); +}; + +Entity.prototype._getDecoder = function _getDecoder(enc) { + enc = enc || 'der'; + // Lazily create decoder + if (!this.decoders.hasOwnProperty(enc)) + this.decoders[enc] = this._createNamed(decoders[enc]); + return this.decoders[enc]; +}; + +Entity.prototype.decode = function decode(data, enc, options) { + return this._getDecoder(enc).decode(data, options); +}; + +Entity.prototype._getEncoder = function _getEncoder(enc) { + enc = enc || 'der'; + // Lazily create encoder + if (!this.encoders.hasOwnProperty(enc)) + this.encoders[enc] = this._createNamed(encoders[enc]); + return this.encoders[enc]; +}; + +Entity.prototype.encode = function encode(data, enc, /* internal */ reporter) { + return this._getEncoder(enc).encode(data, reporter); +}; diff --git a/node_modules/asn1.js/lib/asn1/base/buffer.js b/node_modules/asn1.js/lib/asn1/base/buffer.js new file mode 100644 index 0000000..bb5bc06 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/base/buffer.js @@ -0,0 +1,153 @@ +'use strict'; + +const inherits = require('inherits'); +const Reporter = require('../base/reporter').Reporter; +const Buffer = require('safer-buffer').Buffer; + +function DecoderBuffer(base, options) { + Reporter.call(this, options); + if (!Buffer.isBuffer(base)) { + this.error('Input not Buffer'); + return; + } + + this.base = base; + this.offset = 0; + this.length = base.length; +} +inherits(DecoderBuffer, Reporter); +exports.DecoderBuffer = DecoderBuffer; + +DecoderBuffer.isDecoderBuffer = function isDecoderBuffer(data) { + if (data instanceof DecoderBuffer) { + return true; + } + + // Or accept compatible API + const isCompatible = typeof data === 'object' && + Buffer.isBuffer(data.base) && + data.constructor.name === 'DecoderBuffer' && + typeof data.offset === 'number' && + typeof data.length === 'number' && + typeof data.save === 'function' && + typeof data.restore === 'function' && + typeof data.isEmpty === 'function' && + typeof data.readUInt8 === 'function' && + typeof data.skip === 'function' && + typeof data.raw === 'function'; + + return isCompatible; +}; + +DecoderBuffer.prototype.save = function save() { + return { offset: this.offset, reporter: Reporter.prototype.save.call(this) }; +}; + +DecoderBuffer.prototype.restore = function restore(save) { + // Return skipped data + const res = new DecoderBuffer(this.base); + res.offset = save.offset; + res.length = this.offset; + + this.offset = save.offset; + Reporter.prototype.restore.call(this, save.reporter); + + return res; +}; + +DecoderBuffer.prototype.isEmpty = function isEmpty() { + return this.offset === this.length; +}; + +DecoderBuffer.prototype.readUInt8 = function readUInt8(fail) { + if (this.offset + 1 <= this.length) + return this.base.readUInt8(this.offset++, true); + else + return this.error(fail || 'DecoderBuffer overrun'); +}; + +DecoderBuffer.prototype.skip = function skip(bytes, fail) { + if (!(this.offset + bytes <= this.length)) + return this.error(fail || 'DecoderBuffer overrun'); + + const res = new DecoderBuffer(this.base); + + // Share reporter state + res._reporterState = this._reporterState; + + res.offset = this.offset; + res.length = this.offset + bytes; + this.offset += bytes; + return res; +}; + +DecoderBuffer.prototype.raw = function raw(save) { + return this.base.slice(save ? save.offset : this.offset, this.length); +}; + +function EncoderBuffer(value, reporter) { + if (Array.isArray(value)) { + this.length = 0; + this.value = value.map(function(item) { + if (!EncoderBuffer.isEncoderBuffer(item)) + item = new EncoderBuffer(item, reporter); + this.length += item.length; + return item; + }, this); + } else if (typeof value === 'number') { + if (!(0 <= value && value <= 0xff)) + return reporter.error('non-byte EncoderBuffer value'); + this.value = value; + this.length = 1; + } else if (typeof value === 'string') { + this.value = value; + this.length = Buffer.byteLength(value); + } else if (Buffer.isBuffer(value)) { + this.value = value; + this.length = value.length; + } else { + return reporter.error('Unsupported type: ' + typeof value); + } +} +exports.EncoderBuffer = EncoderBuffer; + +EncoderBuffer.isEncoderBuffer = function isEncoderBuffer(data) { + if (data instanceof EncoderBuffer) { + return true; + } + + // Or accept compatible API + const isCompatible = typeof data === 'object' && + data.constructor.name === 'EncoderBuffer' && + typeof data.length === 'number' && + typeof data.join === 'function'; + + return isCompatible; +}; + +EncoderBuffer.prototype.join = function join(out, offset) { + if (!out) + out = Buffer.alloc(this.length); + if (!offset) + offset = 0; + + if (this.length === 0) + return out; + + if (Array.isArray(this.value)) { + this.value.forEach(function(item) { + item.join(out, offset); + offset += item.length; + }); + } else { + if (typeof this.value === 'number') + out[offset] = this.value; + else if (typeof this.value === 'string') + out.write(this.value, offset); + else if (Buffer.isBuffer(this.value)) + this.value.copy(out, offset); + offset += this.length; + } + + return out; +}; diff --git a/node_modules/asn1.js/lib/asn1/base/index.js b/node_modules/asn1.js/lib/asn1/base/index.js new file mode 100644 index 0000000..8b92f20 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/base/index.js @@ -0,0 +1,8 @@ +'use strict'; + +const base = exports; + +base.Reporter = require('./reporter').Reporter; +base.DecoderBuffer = require('./buffer').DecoderBuffer; +base.EncoderBuffer = require('./buffer').EncoderBuffer; +base.Node = require('./node'); diff --git a/node_modules/asn1.js/lib/asn1/base/node.js b/node_modules/asn1.js/lib/asn1/base/node.js new file mode 100644 index 0000000..d676d21 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/base/node.js @@ -0,0 +1,638 @@ +'use strict'; + +const Reporter = require('../base/reporter').Reporter; +const EncoderBuffer = require('../base/buffer').EncoderBuffer; +const DecoderBuffer = require('../base/buffer').DecoderBuffer; +const assert = require('minimalistic-assert'); + +// Supported tags +const tags = [ + 'seq', 'seqof', 'set', 'setof', 'objid', 'bool', + 'gentime', 'utctime', 'null_', 'enum', 'int', 'objDesc', + 'bitstr', 'bmpstr', 'charstr', 'genstr', 'graphstr', 'ia5str', 'iso646str', + 'numstr', 'octstr', 'printstr', 't61str', 'unistr', 'utf8str', 'videostr' +]; + +// Public methods list +const methods = [ + 'key', 'obj', 'use', 'optional', 'explicit', 'implicit', 'def', 'choice', + 'any', 'contains' +].concat(tags); + +// Overrided methods list +const overrided = [ + '_peekTag', '_decodeTag', '_use', + '_decodeStr', '_decodeObjid', '_decodeTime', + '_decodeNull', '_decodeInt', '_decodeBool', '_decodeList', + + '_encodeComposite', '_encodeStr', '_encodeObjid', '_encodeTime', + '_encodeNull', '_encodeInt', '_encodeBool' +]; + +function Node(enc, parent, name) { + const state = {}; + this._baseState = state; + + state.name = name; + state.enc = enc; + + state.parent = parent || null; + state.children = null; + + // State + state.tag = null; + state.args = null; + state.reverseArgs = null; + state.choice = null; + state.optional = false; + state.any = false; + state.obj = false; + state.use = null; + state.useDecoder = null; + state.key = null; + state['default'] = null; + state.explicit = null; + state.implicit = null; + state.contains = null; + + // Should create new instance on each method + if (!state.parent) { + state.children = []; + this._wrap(); + } +} +module.exports = Node; + +const stateProps = [ + 'enc', 'parent', 'children', 'tag', 'args', 'reverseArgs', 'choice', + 'optional', 'any', 'obj', 'use', 'alteredUse', 'key', 'default', 'explicit', + 'implicit', 'contains' +]; + +Node.prototype.clone = function clone() { + const state = this._baseState; + const cstate = {}; + stateProps.forEach(function(prop) { + cstate[prop] = state[prop]; + }); + const res = new this.constructor(cstate.parent); + res._baseState = cstate; + return res; +}; + +Node.prototype._wrap = function wrap() { + const state = this._baseState; + methods.forEach(function(method) { + this[method] = function _wrappedMethod() { + const clone = new this.constructor(this); + state.children.push(clone); + return clone[method].apply(clone, arguments); + }; + }, this); +}; + +Node.prototype._init = function init(body) { + const state = this._baseState; + + assert(state.parent === null); + body.call(this); + + // Filter children + state.children = state.children.filter(function(child) { + return child._baseState.parent === this; + }, this); + assert.equal(state.children.length, 1, 'Root node can have only one child'); +}; + +Node.prototype._useArgs = function useArgs(args) { + const state = this._baseState; + + // Filter children and args + const children = args.filter(function(arg) { + return arg instanceof this.constructor; + }, this); + args = args.filter(function(arg) { + return !(arg instanceof this.constructor); + }, this); + + if (children.length !== 0) { + assert(state.children === null); + state.children = children; + + // Replace parent to maintain backward link + children.forEach(function(child) { + child._baseState.parent = this; + }, this); + } + if (args.length !== 0) { + assert(state.args === null); + state.args = args; + state.reverseArgs = args.map(function(arg) { + if (typeof arg !== 'object' || arg.constructor !== Object) + return arg; + + const res = {}; + Object.keys(arg).forEach(function(key) { + if (key == (key | 0)) + key |= 0; + const value = arg[key]; + res[value] = key; + }); + return res; + }); + } +}; + +// +// Overrided methods +// + +overrided.forEach(function(method) { + Node.prototype[method] = function _overrided() { + const state = this._baseState; + throw new Error(method + ' not implemented for encoding: ' + state.enc); + }; +}); + +// +// Public methods +// + +tags.forEach(function(tag) { + Node.prototype[tag] = function _tagMethod() { + const state = this._baseState; + const args = Array.prototype.slice.call(arguments); + + assert(state.tag === null); + state.tag = tag; + + this._useArgs(args); + + return this; + }; +}); + +Node.prototype.use = function use(item) { + assert(item); + const state = this._baseState; + + assert(state.use === null); + state.use = item; + + return this; +}; + +Node.prototype.optional = function optional() { + const state = this._baseState; + + state.optional = true; + + return this; +}; + +Node.prototype.def = function def(val) { + const state = this._baseState; + + assert(state['default'] === null); + state['default'] = val; + state.optional = true; + + return this; +}; + +Node.prototype.explicit = function explicit(num) { + const state = this._baseState; + + assert(state.explicit === null && state.implicit === null); + state.explicit = num; + + return this; +}; + +Node.prototype.implicit = function implicit(num) { + const state = this._baseState; + + assert(state.explicit === null && state.implicit === null); + state.implicit = num; + + return this; +}; + +Node.prototype.obj = function obj() { + const state = this._baseState; + const args = Array.prototype.slice.call(arguments); + + state.obj = true; + + if (args.length !== 0) + this._useArgs(args); + + return this; +}; + +Node.prototype.key = function key(newKey) { + const state = this._baseState; + + assert(state.key === null); + state.key = newKey; + + return this; +}; + +Node.prototype.any = function any() { + const state = this._baseState; + + state.any = true; + + return this; +}; + +Node.prototype.choice = function choice(obj) { + const state = this._baseState; + + assert(state.choice === null); + state.choice = obj; + this._useArgs(Object.keys(obj).map(function(key) { + return obj[key]; + })); + + return this; +}; + +Node.prototype.contains = function contains(item) { + const state = this._baseState; + + assert(state.use === null); + state.contains = item; + + return this; +}; + +// +// Decoding +// + +Node.prototype._decode = function decode(input, options) { + const state = this._baseState; + + // Decode root node + if (state.parent === null) + return input.wrapResult(state.children[0]._decode(input, options)); + + let result = state['default']; + let present = true; + + let prevKey = null; + if (state.key !== null) + prevKey = input.enterKey(state.key); + + // Check if tag is there + if (state.optional) { + let tag = null; + if (state.explicit !== null) + tag = state.explicit; + else if (state.implicit !== null) + tag = state.implicit; + else if (state.tag !== null) + tag = state.tag; + + if (tag === null && !state.any) { + // Trial and Error + const save = input.save(); + try { + if (state.choice === null) + this._decodeGeneric(state.tag, input, options); + else + this._decodeChoice(input, options); + present = true; + } catch (e) { + present = false; + } + input.restore(save); + } else { + present = this._peekTag(input, tag, state.any); + + if (input.isError(present)) + return present; + } + } + + // Push object on stack + let prevObj; + if (state.obj && present) + prevObj = input.enterObject(); + + if (present) { + // Unwrap explicit values + if (state.explicit !== null) { + const explicit = this._decodeTag(input, state.explicit); + if (input.isError(explicit)) + return explicit; + input = explicit; + } + + const start = input.offset; + + // Unwrap implicit and normal values + if (state.use === null && state.choice === null) { + let save; + if (state.any) + save = input.save(); + const body = this._decodeTag( + input, + state.implicit !== null ? state.implicit : state.tag, + state.any + ); + if (input.isError(body)) + return body; + + if (state.any) + result = input.raw(save); + else + input = body; + } + + if (options && options.track && state.tag !== null) + options.track(input.path(), start, input.length, 'tagged'); + + if (options && options.track && state.tag !== null) + options.track(input.path(), input.offset, input.length, 'content'); + + // Select proper method for tag + if (state.any) { + // no-op + } else if (state.choice === null) { + result = this._decodeGeneric(state.tag, input, options); + } else { + result = this._decodeChoice(input, options); + } + + if (input.isError(result)) + return result; + + // Decode children + if (!state.any && state.choice === null && state.children !== null) { + state.children.forEach(function decodeChildren(child) { + // NOTE: We are ignoring errors here, to let parser continue with other + // parts of encoded data + child._decode(input, options); + }); + } + + // Decode contained/encoded by schema, only in bit or octet strings + if (state.contains && (state.tag === 'octstr' || state.tag === 'bitstr')) { + const data = new DecoderBuffer(result); + result = this._getUse(state.contains, input._reporterState.obj) + ._decode(data, options); + } + } + + // Pop object + if (state.obj && present) + result = input.leaveObject(prevObj); + + // Set key + if (state.key !== null && (result !== null || present === true)) + input.leaveKey(prevKey, state.key, result); + else if (prevKey !== null) + input.exitKey(prevKey); + + return result; +}; + +Node.prototype._decodeGeneric = function decodeGeneric(tag, input, options) { + const state = this._baseState; + + if (tag === 'seq' || tag === 'set') + return null; + if (tag === 'seqof' || tag === 'setof') + return this._decodeList(input, tag, state.args[0], options); + else if (/str$/.test(tag)) + return this._decodeStr(input, tag, options); + else if (tag === 'objid' && state.args) + return this._decodeObjid(input, state.args[0], state.args[1], options); + else if (tag === 'objid') + return this._decodeObjid(input, null, null, options); + else if (tag === 'gentime' || tag === 'utctime') + return this._decodeTime(input, tag, options); + else if (tag === 'null_') + return this._decodeNull(input, options); + else if (tag === 'bool') + return this._decodeBool(input, options); + else if (tag === 'objDesc') + return this._decodeStr(input, tag, options); + else if (tag === 'int' || tag === 'enum') + return this._decodeInt(input, state.args && state.args[0], options); + + if (state.use !== null) { + return this._getUse(state.use, input._reporterState.obj) + ._decode(input, options); + } else { + return input.error('unknown tag: ' + tag); + } +}; + +Node.prototype._getUse = function _getUse(entity, obj) { + + const state = this._baseState; + // Create altered use decoder if implicit is set + state.useDecoder = this._use(entity, obj); + assert(state.useDecoder._baseState.parent === null); + state.useDecoder = state.useDecoder._baseState.children[0]; + if (state.implicit !== state.useDecoder._baseState.implicit) { + state.useDecoder = state.useDecoder.clone(); + state.useDecoder._baseState.implicit = state.implicit; + } + return state.useDecoder; +}; + +Node.prototype._decodeChoice = function decodeChoice(input, options) { + const state = this._baseState; + let result = null; + let match = false; + + Object.keys(state.choice).some(function(key) { + const save = input.save(); + const node = state.choice[key]; + try { + const value = node._decode(input, options); + if (input.isError(value)) + return false; + + result = { type: key, value: value }; + match = true; + } catch (e) { + input.restore(save); + return false; + } + return true; + }, this); + + if (!match) + return input.error('Choice not matched'); + + return result; +}; + +// +// Encoding +// + +Node.prototype._createEncoderBuffer = function createEncoderBuffer(data) { + return new EncoderBuffer(data, this.reporter); +}; + +Node.prototype._encode = function encode(data, reporter, parent) { + const state = this._baseState; + if (state['default'] !== null && state['default'] === data) + return; + + const result = this._encodeValue(data, reporter, parent); + if (result === undefined) + return; + + if (this._skipDefault(result, reporter, parent)) + return; + + return result; +}; + +Node.prototype._encodeValue = function encode(data, reporter, parent) { + const state = this._baseState; + + // Decode root node + if (state.parent === null) + return state.children[0]._encode(data, reporter || new Reporter()); + + let result = null; + + // Set reporter to share it with a child class + this.reporter = reporter; + + // Check if data is there + if (state.optional && data === undefined) { + if (state['default'] !== null) + data = state['default']; + else + return; + } + + // Encode children first + let content = null; + let primitive = false; + if (state.any) { + // Anything that was given is translated to buffer + result = this._createEncoderBuffer(data); + } else if (state.choice) { + result = this._encodeChoice(data, reporter); + } else if (state.contains) { + content = this._getUse(state.contains, parent)._encode(data, reporter); + primitive = true; + } else if (state.children) { + content = state.children.map(function(child) { + if (child._baseState.tag === 'null_') + return child._encode(null, reporter, data); + + if (child._baseState.key === null) + return reporter.error('Child should have a key'); + const prevKey = reporter.enterKey(child._baseState.key); + + if (typeof data !== 'object') + return reporter.error('Child expected, but input is not object'); + + const res = child._encode(data[child._baseState.key], reporter, data); + reporter.leaveKey(prevKey); + + return res; + }, this).filter(function(child) { + return child; + }); + content = this._createEncoderBuffer(content); + } else { + if (state.tag === 'seqof' || state.tag === 'setof') { + // TODO(indutny): this should be thrown on DSL level + if (!(state.args && state.args.length === 1)) + return reporter.error('Too many args for : ' + state.tag); + + if (!Array.isArray(data)) + return reporter.error('seqof/setof, but data is not Array'); + + const child = this.clone(); + child._baseState.implicit = null; + content = this._createEncoderBuffer(data.map(function(item) { + const state = this._baseState; + + return this._getUse(state.args[0], data)._encode(item, reporter); + }, child)); + } else if (state.use !== null) { + result = this._getUse(state.use, parent)._encode(data, reporter); + } else { + content = this._encodePrimitive(state.tag, data); + primitive = true; + } + } + + // Encode data itself + if (!state.any && state.choice === null) { + const tag = state.implicit !== null ? state.implicit : state.tag; + const cls = state.implicit === null ? 'universal' : 'context'; + + if (tag === null) { + if (state.use === null) + reporter.error('Tag could be omitted only for .use()'); + } else { + if (state.use === null) + result = this._encodeComposite(tag, primitive, cls, content); + } + } + + // Wrap in explicit + if (state.explicit !== null) + result = this._encodeComposite(state.explicit, false, 'context', result); + + return result; +}; + +Node.prototype._encodeChoice = function encodeChoice(data, reporter) { + const state = this._baseState; + + const node = state.choice[data.type]; + if (!node) { + assert( + false, + data.type + ' not found in ' + + JSON.stringify(Object.keys(state.choice))); + } + return node._encode(data.value, reporter); +}; + +Node.prototype._encodePrimitive = function encodePrimitive(tag, data) { + const state = this._baseState; + + if (/str$/.test(tag)) + return this._encodeStr(data, tag); + else if (tag === 'objid' && state.args) + return this._encodeObjid(data, state.reverseArgs[0], state.args[1]); + else if (tag === 'objid') + return this._encodeObjid(data, null, null); + else if (tag === 'gentime' || tag === 'utctime') + return this._encodeTime(data, tag); + else if (tag === 'null_') + return this._encodeNull(); + else if (tag === 'int' || tag === 'enum') + return this._encodeInt(data, state.args && state.reverseArgs[0]); + else if (tag === 'bool') + return this._encodeBool(data); + else if (tag === 'objDesc') + return this._encodeStr(data, tag); + else + throw new Error('Unsupported tag: ' + tag); +}; + +Node.prototype._isNumstr = function isNumstr(str) { + return /^[0-9 ]*$/.test(str); +}; + +Node.prototype._isPrintstr = function isPrintstr(str) { + return /^[A-Za-z0-9 '()+,-./:=?]*$/.test(str); +}; diff --git a/node_modules/asn1.js/lib/asn1/base/reporter.js b/node_modules/asn1.js/lib/asn1/base/reporter.js new file mode 100644 index 0000000..d05fe12 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/base/reporter.js @@ -0,0 +1,123 @@ +'use strict'; + +const inherits = require('inherits'); + +function Reporter(options) { + this._reporterState = { + obj: null, + path: [], + options: options || {}, + errors: [] + }; +} +exports.Reporter = Reporter; + +Reporter.prototype.isError = function isError(obj) { + return obj instanceof ReporterError; +}; + +Reporter.prototype.save = function save() { + const state = this._reporterState; + + return { obj: state.obj, pathLen: state.path.length }; +}; + +Reporter.prototype.restore = function restore(data) { + const state = this._reporterState; + + state.obj = data.obj; + state.path = state.path.slice(0, data.pathLen); +}; + +Reporter.prototype.enterKey = function enterKey(key) { + return this._reporterState.path.push(key); +}; + +Reporter.prototype.exitKey = function exitKey(index) { + const state = this._reporterState; + + state.path = state.path.slice(0, index - 1); +}; + +Reporter.prototype.leaveKey = function leaveKey(index, key, value) { + const state = this._reporterState; + + this.exitKey(index); + if (state.obj !== null) + state.obj[key] = value; +}; + +Reporter.prototype.path = function path() { + return this._reporterState.path.join('/'); +}; + +Reporter.prototype.enterObject = function enterObject() { + const state = this._reporterState; + + const prev = state.obj; + state.obj = {}; + return prev; +}; + +Reporter.prototype.leaveObject = function leaveObject(prev) { + const state = this._reporterState; + + const now = state.obj; + state.obj = prev; + return now; +}; + +Reporter.prototype.error = function error(msg) { + let err; + const state = this._reporterState; + + const inherited = msg instanceof ReporterError; + if (inherited) { + err = msg; + } else { + err = new ReporterError(state.path.map(function(elem) { + return '[' + JSON.stringify(elem) + ']'; + }).join(''), msg.message || msg, msg.stack); + } + + if (!state.options.partial) + throw err; + + if (!inherited) + state.errors.push(err); + + return err; +}; + +Reporter.prototype.wrapResult = function wrapResult(result) { + const state = this._reporterState; + if (!state.options.partial) + return result; + + return { + result: this.isError(result) ? null : result, + errors: state.errors + }; +}; + +function ReporterError(path, msg) { + this.path = path; + this.rethrow(msg); +} +inherits(ReporterError, Error); + +ReporterError.prototype.rethrow = function rethrow(msg) { + this.message = msg + ' at: ' + (this.path || '(shallow)'); + if (Error.captureStackTrace) + Error.captureStackTrace(this, ReporterError); + + if (!this.stack) { + try { + // IE only adds stack when thrown + throw new Error(this.message); + } catch (e) { + this.stack = e.stack; + } + } + return this; +}; diff --git a/node_modules/asn1.js/lib/asn1/constants/der.js b/node_modules/asn1.js/lib/asn1/constants/der.js new file mode 100644 index 0000000..2b678aa --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/constants/der.js @@ -0,0 +1,58 @@ +'use strict'; + +// Helper +function reverse(map) { + const res = {}; + + Object.keys(map).forEach(function(key) { + // Convert key to integer if it is stringified + if ((key | 0) == key) + key = key | 0; + + const value = map[key]; + res[value] = key; + }); + + return res; +} + +exports.tagClass = { + 0: 'universal', + 1: 'application', + 2: 'context', + 3: 'private' +}; +exports.tagClassByName = reverse(exports.tagClass); + +exports.tag = { + 0x00: 'end', + 0x01: 'bool', + 0x02: 'int', + 0x03: 'bitstr', + 0x04: 'octstr', + 0x05: 'null_', + 0x06: 'objid', + 0x07: 'objDesc', + 0x08: 'external', + 0x09: 'real', + 0x0a: 'enum', + 0x0b: 'embed', + 0x0c: 'utf8str', + 0x0d: 'relativeOid', + 0x10: 'seq', + 0x11: 'set', + 0x12: 'numstr', + 0x13: 'printstr', + 0x14: 't61str', + 0x15: 'videostr', + 0x16: 'ia5str', + 0x17: 'utctime', + 0x18: 'gentime', + 0x19: 'graphstr', + 0x1a: 'iso646str', + 0x1b: 'genstr', + 0x1c: 'unistr', + 0x1d: 'charstr', + 0x1e: 'bmpstr' +}; +exports.tagByName = reverse(exports.tag); diff --git a/node_modules/asn1.js/lib/asn1/constants/index.js b/node_modules/asn1.js/lib/asn1/constants/index.js new file mode 100644 index 0000000..632cf3d --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/constants/index.js @@ -0,0 +1,21 @@ +'use strict'; + +const constants = exports; + +// Helper +constants._reverse = function reverse(map) { + const res = {}; + + Object.keys(map).forEach(function(key) { + // Convert key to integer if it is stringified + if ((key | 0) == key) + key = key | 0; + + const value = map[key]; + res[value] = key; + }); + + return res; +}; + +constants.der = require('./der'); diff --git a/node_modules/asn1.js/lib/asn1/decoders/der.js b/node_modules/asn1.js/lib/asn1/decoders/der.js new file mode 100644 index 0000000..c5b0515 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/decoders/der.js @@ -0,0 +1,335 @@ +'use strict'; + +const inherits = require('inherits'); + +const bignum = require('bn.js'); +const DecoderBuffer = require('../base/buffer').DecoderBuffer; +const Node = require('../base/node'); + +// Import DER constants +const der = require('../constants/der'); + +function DERDecoder(entity) { + this.enc = 'der'; + this.name = entity.name; + this.entity = entity; + + // Construct base tree + this.tree = new DERNode(); + this.tree._init(entity.body); +} +module.exports = DERDecoder; + +DERDecoder.prototype.decode = function decode(data, options) { + if (!DecoderBuffer.isDecoderBuffer(data)) { + data = new DecoderBuffer(data, options); + } + + return this.tree._decode(data, options); +}; + +// Tree methods + +function DERNode(parent) { + Node.call(this, 'der', parent); +} +inherits(DERNode, Node); + +DERNode.prototype._peekTag = function peekTag(buffer, tag, any) { + if (buffer.isEmpty()) + return false; + + const state = buffer.save(); + const decodedTag = derDecodeTag(buffer, 'Failed to peek tag: "' + tag + '"'); + if (buffer.isError(decodedTag)) + return decodedTag; + + buffer.restore(state); + + return decodedTag.tag === tag || decodedTag.tagStr === tag || + (decodedTag.tagStr + 'of') === tag || any; +}; + +DERNode.prototype._decodeTag = function decodeTag(buffer, tag, any) { + const decodedTag = derDecodeTag(buffer, + 'Failed to decode tag of "' + tag + '"'); + if (buffer.isError(decodedTag)) + return decodedTag; + + let len = derDecodeLen(buffer, + decodedTag.primitive, + 'Failed to get length of "' + tag + '"'); + + // Failure + if (buffer.isError(len)) + return len; + + if (!any && + decodedTag.tag !== tag && + decodedTag.tagStr !== tag && + decodedTag.tagStr + 'of' !== tag) { + return buffer.error('Failed to match tag: "' + tag + '"'); + } + + if (decodedTag.primitive || len !== null) + return buffer.skip(len, 'Failed to match body of: "' + tag + '"'); + + // Indefinite length... find END tag + const state = buffer.save(); + const res = this._skipUntilEnd( + buffer, + 'Failed to skip indefinite length body: "' + this.tag + '"'); + if (buffer.isError(res)) + return res; + + len = buffer.offset - state.offset; + buffer.restore(state); + return buffer.skip(len, 'Failed to match body of: "' + tag + '"'); +}; + +DERNode.prototype._skipUntilEnd = function skipUntilEnd(buffer, fail) { + for (;;) { + const tag = derDecodeTag(buffer, fail); + if (buffer.isError(tag)) + return tag; + const len = derDecodeLen(buffer, tag.primitive, fail); + if (buffer.isError(len)) + return len; + + let res; + if (tag.primitive || len !== null) + res = buffer.skip(len); + else + res = this._skipUntilEnd(buffer, fail); + + // Failure + if (buffer.isError(res)) + return res; + + if (tag.tagStr === 'end') + break; + } +}; + +DERNode.prototype._decodeList = function decodeList(buffer, tag, decoder, + options) { + const result = []; + while (!buffer.isEmpty()) { + const possibleEnd = this._peekTag(buffer, 'end'); + if (buffer.isError(possibleEnd)) + return possibleEnd; + + const res = decoder.decode(buffer, 'der', options); + if (buffer.isError(res) && possibleEnd) + break; + result.push(res); + } + return result; +}; + +DERNode.prototype._decodeStr = function decodeStr(buffer, tag) { + if (tag === 'bitstr') { + const unused = buffer.readUInt8(); + if (buffer.isError(unused)) + return unused; + return { unused: unused, data: buffer.raw() }; + } else if (tag === 'bmpstr') { + const raw = buffer.raw(); + if (raw.length % 2 === 1) + return buffer.error('Decoding of string type: bmpstr length mismatch'); + + let str = ''; + for (let i = 0; i < raw.length / 2; i++) { + str += String.fromCharCode(raw.readUInt16BE(i * 2)); + } + return str; + } else if (tag === 'numstr') { + const numstr = buffer.raw().toString('ascii'); + if (!this._isNumstr(numstr)) { + return buffer.error('Decoding of string type: ' + + 'numstr unsupported characters'); + } + return numstr; + } else if (tag === 'octstr') { + return buffer.raw(); + } else if (tag === 'objDesc') { + return buffer.raw(); + } else if (tag === 'printstr') { + const printstr = buffer.raw().toString('ascii'); + if (!this._isPrintstr(printstr)) { + return buffer.error('Decoding of string type: ' + + 'printstr unsupported characters'); + } + return printstr; + } else if (/str$/.test(tag)) { + return buffer.raw().toString(); + } else { + return buffer.error('Decoding of string type: ' + tag + ' unsupported'); + } +}; + +DERNode.prototype._decodeObjid = function decodeObjid(buffer, values, relative) { + let result; + const identifiers = []; + let ident = 0; + let subident = 0; + while (!buffer.isEmpty()) { + subident = buffer.readUInt8(); + ident <<= 7; + ident |= subident & 0x7f; + if ((subident & 0x80) === 0) { + identifiers.push(ident); + ident = 0; + } + } + if (subident & 0x80) + identifiers.push(ident); + + const first = (identifiers[0] / 40) | 0; + const second = identifiers[0] % 40; + + if (relative) + result = identifiers; + else + result = [first, second].concat(identifiers.slice(1)); + + if (values) { + let tmp = values[result.join(' ')]; + if (tmp === undefined) + tmp = values[result.join('.')]; + if (tmp !== undefined) + result = tmp; + } + + return result; +}; + +DERNode.prototype._decodeTime = function decodeTime(buffer, tag) { + const str = buffer.raw().toString(); + + let year; + let mon; + let day; + let hour; + let min; + let sec; + if (tag === 'gentime') { + year = str.slice(0, 4) | 0; + mon = str.slice(4, 6) | 0; + day = str.slice(6, 8) | 0; + hour = str.slice(8, 10) | 0; + min = str.slice(10, 12) | 0; + sec = str.slice(12, 14) | 0; + } else if (tag === 'utctime') { + year = str.slice(0, 2) | 0; + mon = str.slice(2, 4) | 0; + day = str.slice(4, 6) | 0; + hour = str.slice(6, 8) | 0; + min = str.slice(8, 10) | 0; + sec = str.slice(10, 12) | 0; + if (year < 70) + year = 2000 + year; + else + year = 1900 + year; + } else { + return buffer.error('Decoding ' + tag + ' time is not supported yet'); + } + + return Date.UTC(year, mon - 1, day, hour, min, sec, 0); +}; + +DERNode.prototype._decodeNull = function decodeNull() { + return null; +}; + +DERNode.prototype._decodeBool = function decodeBool(buffer) { + const res = buffer.readUInt8(); + if (buffer.isError(res)) + return res; + else + return res !== 0; +}; + +DERNode.prototype._decodeInt = function decodeInt(buffer, values) { + // Bigint, return as it is (assume big endian) + const raw = buffer.raw(); + let res = new bignum(raw); + + if (values) + res = values[res.toString(10)] || res; + + return res; +}; + +DERNode.prototype._use = function use(entity, obj) { + if (typeof entity === 'function') + entity = entity(obj); + return entity._getDecoder('der').tree; +}; + +// Utility methods + +function derDecodeTag(buf, fail) { + let tag = buf.readUInt8(fail); + if (buf.isError(tag)) + return tag; + + const cls = der.tagClass[tag >> 6]; + const primitive = (tag & 0x20) === 0; + + // Multi-octet tag - load + if ((tag & 0x1f) === 0x1f) { + let oct = tag; + tag = 0; + while ((oct & 0x80) === 0x80) { + oct = buf.readUInt8(fail); + if (buf.isError(oct)) + return oct; + + tag <<= 7; + tag |= oct & 0x7f; + } + } else { + tag &= 0x1f; + } + const tagStr = der.tag[tag]; + + return { + cls: cls, + primitive: primitive, + tag: tag, + tagStr: tagStr + }; +} + +function derDecodeLen(buf, primitive, fail) { + let len = buf.readUInt8(fail); + if (buf.isError(len)) + return len; + + // Indefinite form + if (!primitive && len === 0x80) + return null; + + // Definite form + if ((len & 0x80) === 0) { + // Short form + return len; + } + + // Long form + const num = len & 0x7f; + if (num > 4) + return buf.error('length octect is too long'); + + len = 0; + for (let i = 0; i < num; i++) { + len <<= 8; + const j = buf.readUInt8(fail); + if (buf.isError(j)) + return j; + len |= j; + } + + return len; +} diff --git a/node_modules/asn1.js/lib/asn1/decoders/index.js b/node_modules/asn1.js/lib/asn1/decoders/index.js new file mode 100644 index 0000000..14fb05a --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/decoders/index.js @@ -0,0 +1,6 @@ +'use strict'; + +const decoders = exports; + +decoders.der = require('./der'); +decoders.pem = require('./pem'); diff --git a/node_modules/asn1.js/lib/asn1/decoders/pem.js b/node_modules/asn1.js/lib/asn1/decoders/pem.js new file mode 100644 index 0000000..2b050ef --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/decoders/pem.js @@ -0,0 +1,51 @@ +'use strict'; + +const inherits = require('inherits'); +const Buffer = require('safer-buffer').Buffer; + +const DERDecoder = require('./der'); + +function PEMDecoder(entity) { + DERDecoder.call(this, entity); + this.enc = 'pem'; +} +inherits(PEMDecoder, DERDecoder); +module.exports = PEMDecoder; + +PEMDecoder.prototype.decode = function decode(data, options) { + const lines = data.toString().split(/[\r\n]+/g); + + const label = options.label.toUpperCase(); + + const re = /^-----(BEGIN|END) ([^-]+)-----$/; + let start = -1; + let end = -1; + for (let i = 0; i < lines.length; i++) { + const match = lines[i].match(re); + if (match === null) + continue; + + if (match[2] !== label) + continue; + + if (start === -1) { + if (match[1] !== 'BEGIN') + break; + start = i; + } else { + if (match[1] !== 'END') + break; + end = i; + break; + } + } + if (start === -1 || end === -1) + throw new Error('PEM section not found for: ' + label); + + const base64 = lines.slice(start + 1, end).join(''); + // Remove excessive symbols + base64.replace(/[^a-z0-9+/=]+/gi, ''); + + const input = Buffer.from(base64, 'base64'); + return DERDecoder.prototype.decode.call(this, input, options); +}; diff --git a/node_modules/asn1.js/lib/asn1/encoders/der.js b/node_modules/asn1.js/lib/asn1/encoders/der.js new file mode 100644 index 0000000..55eb435 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/encoders/der.js @@ -0,0 +1,295 @@ +'use strict'; + +const inherits = require('inherits'); +const Buffer = require('safer-buffer').Buffer; +const Node = require('../base/node'); + +// Import DER constants +const der = require('../constants/der'); + +function DEREncoder(entity) { + this.enc = 'der'; + this.name = entity.name; + this.entity = entity; + + // Construct base tree + this.tree = new DERNode(); + this.tree._init(entity.body); +} +module.exports = DEREncoder; + +DEREncoder.prototype.encode = function encode(data, reporter) { + return this.tree._encode(data, reporter).join(); +}; + +// Tree methods + +function DERNode(parent) { + Node.call(this, 'der', parent); +} +inherits(DERNode, Node); + +DERNode.prototype._encodeComposite = function encodeComposite(tag, + primitive, + cls, + content) { + const encodedTag = encodeTag(tag, primitive, cls, this.reporter); + + // Short form + if (content.length < 0x80) { + const header = Buffer.alloc(2); + header[0] = encodedTag; + header[1] = content.length; + return this._createEncoderBuffer([ header, content ]); + } + + // Long form + // Count octets required to store length + let lenOctets = 1; + for (let i = content.length; i >= 0x100; i >>= 8) + lenOctets++; + + const header = Buffer.alloc(1 + 1 + lenOctets); + header[0] = encodedTag; + header[1] = 0x80 | lenOctets; + + for (let i = 1 + lenOctets, j = content.length; j > 0; i--, j >>= 8) + header[i] = j & 0xff; + + return this._createEncoderBuffer([ header, content ]); +}; + +DERNode.prototype._encodeStr = function encodeStr(str, tag) { + if (tag === 'bitstr') { + return this._createEncoderBuffer([ str.unused | 0, str.data ]); + } else if (tag === 'bmpstr') { + const buf = Buffer.alloc(str.length * 2); + for (let i = 0; i < str.length; i++) { + buf.writeUInt16BE(str.charCodeAt(i), i * 2); + } + return this._createEncoderBuffer(buf); + } else if (tag === 'numstr') { + if (!this._isNumstr(str)) { + return this.reporter.error('Encoding of string type: numstr supports ' + + 'only digits and space'); + } + return this._createEncoderBuffer(str); + } else if (tag === 'printstr') { + if (!this._isPrintstr(str)) { + return this.reporter.error('Encoding of string type: printstr supports ' + + 'only latin upper and lower case letters, ' + + 'digits, space, apostrophe, left and rigth ' + + 'parenthesis, plus sign, comma, hyphen, ' + + 'dot, slash, colon, equal sign, ' + + 'question mark'); + } + return this._createEncoderBuffer(str); + } else if (/str$/.test(tag)) { + return this._createEncoderBuffer(str); + } else if (tag === 'objDesc') { + return this._createEncoderBuffer(str); + } else { + return this.reporter.error('Encoding of string type: ' + tag + + ' unsupported'); + } +}; + +DERNode.prototype._encodeObjid = function encodeObjid(id, values, relative) { + if (typeof id === 'string') { + if (!values) + return this.reporter.error('string objid given, but no values map found'); + if (!values.hasOwnProperty(id)) + return this.reporter.error('objid not found in values map'); + id = values[id].split(/[\s.]+/g); + for (let i = 0; i < id.length; i++) + id[i] |= 0; + } else if (Array.isArray(id)) { + id = id.slice(); + for (let i = 0; i < id.length; i++) + id[i] |= 0; + } + + if (!Array.isArray(id)) { + return this.reporter.error('objid() should be either array or string, ' + + 'got: ' + JSON.stringify(id)); + } + + if (!relative) { + if (id[1] >= 40) + return this.reporter.error('Second objid identifier OOB'); + id.splice(0, 2, id[0] * 40 + id[1]); + } + + // Count number of octets + let size = 0; + for (let i = 0; i < id.length; i++) { + let ident = id[i]; + for (size++; ident >= 0x80; ident >>= 7) + size++; + } + + const objid = Buffer.alloc(size); + let offset = objid.length - 1; + for (let i = id.length - 1; i >= 0; i--) { + let ident = id[i]; + objid[offset--] = ident & 0x7f; + while ((ident >>= 7) > 0) + objid[offset--] = 0x80 | (ident & 0x7f); + } + + return this._createEncoderBuffer(objid); +}; + +function two(num) { + if (num < 10) + return '0' + num; + else + return num; +} + +DERNode.prototype._encodeTime = function encodeTime(time, tag) { + let str; + const date = new Date(time); + + if (tag === 'gentime') { + str = [ + two(date.getUTCFullYear()), + two(date.getUTCMonth() + 1), + two(date.getUTCDate()), + two(date.getUTCHours()), + two(date.getUTCMinutes()), + two(date.getUTCSeconds()), + 'Z' + ].join(''); + } else if (tag === 'utctime') { + str = [ + two(date.getUTCFullYear() % 100), + two(date.getUTCMonth() + 1), + two(date.getUTCDate()), + two(date.getUTCHours()), + two(date.getUTCMinutes()), + two(date.getUTCSeconds()), + 'Z' + ].join(''); + } else { + this.reporter.error('Encoding ' + tag + ' time is not supported yet'); + } + + return this._encodeStr(str, 'octstr'); +}; + +DERNode.prototype._encodeNull = function encodeNull() { + return this._createEncoderBuffer(''); +}; + +DERNode.prototype._encodeInt = function encodeInt(num, values) { + if (typeof num === 'string') { + if (!values) + return this.reporter.error('String int or enum given, but no values map'); + if (!values.hasOwnProperty(num)) { + return this.reporter.error('Values map doesn\'t contain: ' + + JSON.stringify(num)); + } + num = values[num]; + } + + // Bignum, assume big endian + if (typeof num !== 'number' && !Buffer.isBuffer(num)) { + const numArray = num.toArray(); + if (!num.sign && numArray[0] & 0x80) { + numArray.unshift(0); + } + num = Buffer.from(numArray); + } + + if (Buffer.isBuffer(num)) { + let size = num.length; + if (num.length === 0) + size++; + + const out = Buffer.alloc(size); + num.copy(out); + if (num.length === 0) + out[0] = 0; + return this._createEncoderBuffer(out); + } + + if (num < 0x80) + return this._createEncoderBuffer(num); + + if (num < 0x100) + return this._createEncoderBuffer([0, num]); + + let size = 1; + for (let i = num; i >= 0x100; i >>= 8) + size++; + + const out = new Array(size); + for (let i = out.length - 1; i >= 0; i--) { + out[i] = num & 0xff; + num >>= 8; + } + if(out[0] & 0x80) { + out.unshift(0); + } + + return this._createEncoderBuffer(Buffer.from(out)); +}; + +DERNode.prototype._encodeBool = function encodeBool(value) { + return this._createEncoderBuffer(value ? 0xff : 0); +}; + +DERNode.prototype._use = function use(entity, obj) { + if (typeof entity === 'function') + entity = entity(obj); + return entity._getEncoder('der').tree; +}; + +DERNode.prototype._skipDefault = function skipDefault(dataBuffer, reporter, parent) { + const state = this._baseState; + let i; + if (state['default'] === null) + return false; + + const data = dataBuffer.join(); + if (state.defaultBuffer === undefined) + state.defaultBuffer = this._encodeValue(state['default'], reporter, parent).join(); + + if (data.length !== state.defaultBuffer.length) + return false; + + for (i=0; i < data.length; i++) + if (data[i] !== state.defaultBuffer[i]) + return false; + + return true; +}; + +// Utility methods + +function encodeTag(tag, primitive, cls, reporter) { + let res; + + if (tag === 'seqof') + tag = 'seq'; + else if (tag === 'setof') + tag = 'set'; + + if (der.tagByName.hasOwnProperty(tag)) + res = der.tagByName[tag]; + else if (typeof tag === 'number' && (tag | 0) === tag) + res = tag; + else + return reporter.error('Unknown tag: ' + tag); + + if (res >= 0x1f) + return reporter.error('Multi-octet tag encoding unsupported'); + + if (!primitive) + res |= 0x20; + + res |= (der.tagClassByName[cls || 'universal'] << 6); + + return res; +} diff --git a/node_modules/asn1.js/lib/asn1/encoders/index.js b/node_modules/asn1.js/lib/asn1/encoders/index.js new file mode 100644 index 0000000..bb8ea34 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/encoders/index.js @@ -0,0 +1,6 @@ +'use strict'; + +const encoders = exports; + +encoders.der = require('./der'); +encoders.pem = require('./pem'); diff --git a/node_modules/asn1.js/lib/asn1/encoders/pem.js b/node_modules/asn1.js/lib/asn1/encoders/pem.js new file mode 100644 index 0000000..77fbdb4 --- /dev/null +++ b/node_modules/asn1.js/lib/asn1/encoders/pem.js @@ -0,0 +1,23 @@ +'use strict'; + +const inherits = require('inherits'); + +const DEREncoder = require('./der'); + +function PEMEncoder(entity) { + DEREncoder.call(this, entity); + this.enc = 'pem'; +} +inherits(PEMEncoder, DEREncoder); +module.exports = PEMEncoder; + +PEMEncoder.prototype.encode = function encode(data, options) { + const buf = DEREncoder.prototype.encode.call(this, data); + + const p = buf.toString('base64'); + const out = [ '-----BEGIN ' + options.label + '-----' ]; + for (let i = 0; i < p.length; i += 64) + out.push(p.slice(i, i + 64)); + out.push('-----END ' + options.label + '-----'); + return out.join('\n'); +}; diff --git a/node_modules/asn1.js/package.json b/node_modules/asn1.js/package.json new file mode 100644 index 0000000..484e22e --- /dev/null +++ b/node_modules/asn1.js/package.json @@ -0,0 +1,66 @@ +{ + "_args": [ + [ + "asn1.js@5.3.0", + "X:\\dev\\neard\\www\\github\\ghaction\\ghaction-import-gpg" + ] + ], + "_from": "asn1.js@5.3.0", + "_id": "asn1.js@5.3.0", + "_inBundle": false, + "_integrity": "sha512-WHnQJFcOrIWT1RLOkFFBQkFVvyt9BPOOrH+Dp152Zk4R993rSzXUGPmkybIcUFhHE2d/iHH+nCaOWVCDbO8fgA==", + "_location": "/asn1.js", + "_phantomChildren": {}, + "_requested": { + "type": "version", + "registry": true, + "raw": "asn1.js@5.3.0", + "name": "asn1.js", + "escapedName": "asn1.js", + "rawSpec": "5.3.0", + "saveSpec": null, + "fetchSpec": "5.3.0" + }, + "_requiredBy": [ + "/openpgp" + ], + "_resolved": "https://registry.npmjs.org/asn1.js/-/asn1.js-5.3.0.tgz", + "_spec": "5.3.0", + "_where": "X:\\dev\\neard\\www\\github\\ghaction\\ghaction-import-gpg", + "author": { + "name": "Fedor Indutny" + }, + "bugs": { + "url": "https://github.com/indutny/asn1.js/issues" + }, + "dependencies": { + "bn.js": "^4.0.0", + "inherits": "^2.0.1", + "minimalistic-assert": "^1.0.0", + "safer-buffer": "^2.1.0" + }, + "description": "ASN.1 encoder and decoder", + "devDependencies": { + "eslint": "^4.10.0", + "mocha": "^7.0.0" + }, + "homepage": "https://github.com/indutny/asn1.js", + "keywords": [ + "asn.1", + "der" + ], + "license": "MIT", + "main": "lib/asn1.js", + "name": "asn1.js", + "repository": { + "type": "git", + "url": "git+ssh://git@github.com/indutny/asn1.js.git" + }, + "scripts": { + "lint": "eslint --fix lib/*.js lib/**/*.js lib/**/**/*.js && npm run lint-2560 && npm run lint-5280", + "lint-2560": "eslint --fix rfc/2560/*.js rfc/2560/test/*.js", + "lint-5280": "eslint --fix rfc/5280/*.js rfc/5280/test/*.js", + "test": "mocha --reporter spec test/*-test.js && cd rfc/2560 && npm i && npm test && cd ../../rfc/5280 && npm i && npm test && cd ../../ && npm run lint" + }, + "version": "5.3.0" +} diff --git a/node_modules/bn.js/.npmignore b/node_modules/bn.js/.npmignore new file mode 100644 index 0000000..057bda2 --- /dev/null +++ b/node_modules/bn.js/.npmignore @@ -0,0 +1,8 @@ +benchmarks/ +coverage/ +test/ +node_modules/ +npm-debug.log +1.js +logo.png +.travis.yml diff --git a/node_modules/bn.js/README.md b/node_modules/bn.js/README.md new file mode 100644 index 0000000..370f06d --- /dev/null +++ b/node_modules/bn.js/README.md @@ -0,0 +1,221 @@ +# bn.js + +> BigNum in pure javascript + +[![Build Status](https://secure.travis-ci.org/indutny/bn.js.png)](http://travis-ci.org/indutny/bn.js) + +## Install +`npm install --save bn.js` + +## Usage + +```js +const BN = require('bn.js'); + +var a = new BN('dead', 16); +var b = new BN('101010', 2); + +var res = a.add(b); +console.log(res.toString(10)); // 57047 +``` + +**Note**: decimals are not supported in this library. + +## Notation + +### Prefixes + +There are several prefixes to instructions that affect the way the work. Here +is the list of them in the order of appearance in the function name: + +* `i` - perform operation in-place, storing the result in the host object (on + which the method was invoked). Might be used to avoid number allocation costs +* `u` - unsigned, ignore the sign of operands when performing operation, or + always return positive value. Second case applies to reduction operations + like `mod()`. In such cases if the result will be negative - modulo will be + added to the result to make it positive + +### Postfixes + +The only available postfix at the moment is: + +* `n` - which means that the argument of the function must be a plain JavaScript + Number. Decimals are not supported. + +### Examples + +* `a.iadd(b)` - perform addition on `a` and `b`, storing the result in `a` +* `a.umod(b)` - reduce `a` modulo `b`, returning positive value +* `a.iushln(13)` - shift bits of `a` left by 13 + +## Instructions + +Prefixes/postfixes are put in parens at the of the line. `endian` - could be +either `le` (little-endian) or `be` (big-endian). + +### Utilities + +* `a.clone()` - clone number +* `a.toString(base, length)` - convert to base-string and pad with zeroes +* `a.toNumber()` - convert to Javascript Number (limited to 53 bits) +* `a.toJSON()` - convert to JSON compatible hex string (alias of `toString(16)`) +* `a.toArray(endian, length)` - convert to byte `Array`, and optionally zero + pad to length, throwing if already exceeding +* `a.toArrayLike(type, endian, length)` - convert to an instance of `type`, + which must behave like an `Array` +* `a.toBuffer(endian, length)` - convert to Node.js Buffer (if available). For + compatibility with browserify and similar tools, use this instead: + `a.toArrayLike(Buffer, endian, length)` +* `a.bitLength()` - get number of bits occupied +* `a.zeroBits()` - return number of less-significant consequent zero bits + (example: `1010000` has 4 zero bits) +* `a.byteLength()` - return number of bytes occupied +* `a.isNeg()` - true if the number is negative +* `a.isEven()` - no comments +* `a.isOdd()` - no comments +* `a.isZero()` - no comments +* `a.cmp(b)` - compare numbers and return `-1` (a `<` b), `0` (a `==` b), or `1` (a `>` b) + depending on the comparison result (`ucmp`, `cmpn`) +* `a.lt(b)` - `a` less than `b` (`n`) +* `a.lte(b)` - `a` less than or equals `b` (`n`) +* `a.gt(b)` - `a` greater than `b` (`n`) +* `a.gte(b)` - `a` greater than or equals `b` (`n`) +* `a.eq(b)` - `a` equals `b` (`n`) +* `a.toTwos(width)` - convert to two's complement representation, where `width` is bit width +* `a.fromTwos(width)` - convert from two's complement representation, where `width` is the bit width +* `BN.isBN(object)` - returns true if the supplied `object` is a BN.js instance + +### Arithmetics + +* `a.neg()` - negate sign (`i`) +* `a.abs()` - absolute value (`i`) +* `a.add(b)` - addition (`i`, `n`, `in`) +* `a.sub(b)` - subtraction (`i`, `n`, `in`) +* `a.mul(b)` - multiply (`i`, `n`, `in`) +* `a.sqr()` - square (`i`) +* `a.pow(b)` - raise `a` to the power of `b` +* `a.div(b)` - divide (`divn`, `idivn`) +* `a.mod(b)` - reduct (`u`, `n`) (but no `umodn`) +* `a.divRound(b)` - rounded division + +### Bit operations + +* `a.or(b)` - or (`i`, `u`, `iu`) +* `a.and(b)` - and (`i`, `u`, `iu`, `andln`) (NOTE: `andln` is going to be replaced + with `andn` in future) +* `a.xor(b)` - xor (`i`, `u`, `iu`) +* `a.setn(b)` - set specified bit to `1` +* `a.shln(b)` - shift left (`i`, `u`, `iu`) +* `a.shrn(b)` - shift right (`i`, `u`, `iu`) +* `a.testn(b)` - test if specified bit is set +* `a.maskn(b)` - clear bits with indexes higher or equal to `b` (`i`) +* `a.bincn(b)` - add `1 << b` to the number +* `a.notn(w)` - not (for the width specified by `w`) (`i`) + +### Reduction + +* `a.gcd(b)` - GCD +* `a.egcd(b)` - Extended GCD results (`{ a: ..., b: ..., gcd: ... }`) +* `a.invm(b)` - inverse `a` modulo `b` + +## Fast reduction + +When doing lots of reductions using the same modulo, it might be beneficial to +use some tricks: like [Montgomery multiplication][0], or using special algorithm +for [Mersenne Prime][1]. + +### Reduction context + +To enable this tricks one should create a reduction context: + +```js +var red = BN.red(num); +``` +where `num` is just a BN instance. + +Or: + +```js +var red = BN.red(primeName); +``` + +Where `primeName` is either of these [Mersenne Primes][1]: + +* `'k256'` +* `'p224'` +* `'p192'` +* `'p25519'` + +Or: + +```js +var red = BN.mont(num); +``` + +To reduce numbers with [Montgomery trick][0]. `.mont()` is generally faster than +`.red(num)`, but slower than `BN.red(primeName)`. + +### Converting numbers + +Before performing anything in reduction context - numbers should be converted +to it. Usually, this means that one should: + +* Convert inputs to reducted ones +* Operate on them in reduction context +* Convert outputs back from the reduction context + +Here is how one may convert numbers to `red`: + +```js +var redA = a.toRed(red); +``` +Where `red` is a reduction context created using instructions above + +Here is how to convert them back: + +```js +var a = redA.fromRed(); +``` + +### Red instructions + +Most of the instructions from the very start of this readme have their +counterparts in red context: + +* `a.redAdd(b)`, `a.redIAdd(b)` +* `a.redSub(b)`, `a.redISub(b)` +* `a.redShl(num)` +* `a.redMul(b)`, `a.redIMul(b)` +* `a.redSqr()`, `a.redISqr()` +* `a.redSqrt()` - square root modulo reduction context's prime +* `a.redInvm()` - modular inverse of the number +* `a.redNeg()` +* `a.redPow(b)` - modular exponentiation + +## LICENSE + +This software is licensed under the MIT License. + +Copyright Fedor Indutny, 2015. + +Permission is hereby granted, free of charge, to any person obtaining a +copy of this software and associated documentation files (the +"Software"), to deal in the Software without restriction, including +without limitation the rights to use, copy, modify, merge, publish, +distribute, sublicense, and/or sell copies of the Software, and to permit +persons to whom the Software is furnished to do so, subject to the +following conditions: + +The above copyright notice and this permission notice shall be included +in all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS +OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN +NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, +DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR +OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE +USE OR OTHER DEALINGS IN THE SOFTWARE. + +[0]: https://en.wikipedia.org/wiki/Montgomery_modular_multiplication +[1]: https://en.wikipedia.org/wiki/Mersenne_prime diff --git a/node_modules/bn.js/lib/bn.js b/node_modules/bn.js/lib/bn.js new file mode 100644 index 0000000..b590145 --- /dev/null +++ b/node_modules/bn.js/lib/bn.js @@ -0,0 +1,3427 @@ +(function (module, exports) { + 'use strict'; + + // Utils + function assert (val, msg) { + if (!val) throw new Error(msg || 'Assertion failed'); + } + + // Could use `inherits` module, but don't want to move from single file + // architecture yet. + function inherits (ctor, superCtor) { + ctor.super_ = superCtor; + var TempCtor = function () {}; + TempCtor.prototype = superCtor.prototype; + ctor.prototype = new TempCtor(); + ctor.prototype.constructor = ctor; + } + + // BN + + function BN (number, base, endian) { + if (BN.isBN(number)) { + return number; + } + + this.negative = 0; + this.words = null; + this.length = 0; + + // Reduction context + this.red = null; + + if (number !== null) { + if (base === 'le' || base === 'be') { + endian = base; + base = 10; + } + + this._init(number || 0, base || 10, endian || 'be'); + } + } + if (typeof module === 'object') { + module.exports = BN; + } else { + exports.BN = BN; + } + + BN.BN = BN; + BN.wordSize = 26; + + var Buffer; + try { + Buffer = require('buffer').Buffer; + } catch (e) { + } + + BN.isBN = function isBN (num) { + if (num instanceof BN) { + return true; + } + + return num !== null && typeof num === 'object' && + num.constructor.wordSize === BN.wordSize && Array.isArray(num.words); + }; + + BN.max = function max (left, right) { + if (left.cmp(right) > 0) return left; + return right; + }; + + BN.min = function min (left, right) { + if (left.cmp(right) < 0) return left; + return right; + }; + + BN.prototype._init = function init (number, base, endian) { + if (typeof number === 'number') { + return this._initNumber(number, base, endian); + } + + if (typeof number === 'object') { + return this._initArray(number, base, endian); + } + + if (base === 'hex') { + base = 16; + } + assert(base === (base | 0) && base >= 2 && base <= 36); + + number = number.toString().replace(/\s+/g, ''); + var start = 0; + if (number[0] === '-') { + start++; + } + + if (base === 16) { + this._parseHex(number, start); + } else { + this._parseBase(number, base, start); + } + + if (number[0] === '-') { + this.negative = 1; + } + + this.strip(); + + if (endian !== 'le') return; + + this._initArray(this.toArray(), base, endian); + }; + + BN.prototype._initNumber = function _initNumber (number, base, endian) { + if (number < 0) { + this.negative = 1; + number = -number; + } + if (number < 0x4000000) { + this.words = [ number & 0x3ffffff ]; + this.length = 1; + } else if (number < 0x10000000000000) { + this.words = [ + number & 0x3ffffff, + (number / 0x4000000) & 0x3ffffff + ]; + this.length = 2; + } else { + assert(number < 0x20000000000000); // 2 ^ 53 (unsafe) + this.words = [ + number & 0x3ffffff, + (number / 0x4000000) & 0x3ffffff, + 1 + ]; + this.length = 3; + } + + if (endian !== 'le') return; + + // Reverse the bytes + this._initArray(this.toArray(), base, endian); + }; + + BN.prototype._initArray = function _initArray (number, base, endian) { + // Perhaps a Uint8Array + assert(typeof number.length === 'number'); + if (number.length <= 0) { + this.words = [ 0 ]; + this.length = 1; + return this; + } + + this.length = Math.ceil(number.length / 3); + this.words = new Array(this.length); + for (var i = 0; i < this.length; i++) { + this.words[i] = 0; + } + + var j, w; + var off = 0; + if (endian === 'be') { + for (i = number.length - 1, j = 0; i >= 0; i -= 3) { + w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16); + this.words[j] |= (w << off) & 0x3ffffff; + this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff; + off += 24; + if (off >= 26) { + off -= 26; + j++; + } + } + } else if (endian === 'le') { + for (i = 0, j = 0; i < number.length; i += 3) { + w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16); + this.words[j] |= (w << off) & 0x3ffffff; + this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff; + off += 24; + if (off >= 26) { + off -= 26; + j++; + } + } + } + return this.strip(); + }; + + function parseHex (str, start, end) { + var r = 0; + var len = Math.min(str.length, end); + for (var i = start; i < len; i++) { + var c = str.charCodeAt(i) - 48; + + r <<= 4; + + // 'a' - 'f' + if (c >= 49 && c <= 54) { + r |= c - 49 + 0xa; + + // 'A' - 'F' + } else if (c >= 17 && c <= 22) { + r |= c - 17 + 0xa; + + // '0' - '9' + } else { + r |= c & 0xf; + } + } + return r; + } + + BN.prototype._parseHex = function _parseHex (number, start) { + // Create possibly bigger array to ensure that it fits the number + this.length = Math.ceil((number.length - start) / 6); + this.words = new Array(this.length); + for (var i = 0; i < this.length; i++) { + this.words[i] = 0; + } + + var j, w; + // Scan 24-bit chunks and add them to the number + var off = 0; + for (i = number.length - 6, j = 0; i >= start; i -= 6) { + w = parseHex(number, i, i + 6); + this.words[j] |= (w << off) & 0x3ffffff; + // NOTE: `0x3fffff` is intentional here, 26bits max shift + 24bit hex limb + this.words[j + 1] |= w >>> (26 - off) & 0x3fffff; + off += 24; + if (off >= 26) { + off -= 26; + j++; + } + } + if (i + 6 !== start) { + w = parseHex(number, start, i + 6); + this.words[j] |= (w << off) & 0x3ffffff; + this.words[j + 1] |= w >>> (26 - off) & 0x3fffff; + } + this.strip(); + }; + + function parseBase (str, start, end, mul) { + var r = 0; + var len = Math.min(str.length, end); + for (var i = start; i < len; i++) { + var c = str.charCodeAt(i) - 48; + + r *= mul; + + // 'a' + if (c >= 49) { + r += c - 49 + 0xa; + + // 'A' + } else if (c >= 17) { + r += c - 17 + 0xa; + + // '0' - '9' + } else { + r += c; + } + } + return r; + } + + BN.prototype._parseBase = function _parseBase (number, base, start) { + // Initialize as zero + this.words = [ 0 ]; + this.length = 1; + + // Find length of limb in base + for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) { + limbLen++; + } + limbLen--; + limbPow = (limbPow / base) | 0; + + var total = number.length - start; + var mod = total % limbLen; + var end = Math.min(total, total - mod) + start; + + var word = 0; + for (var i = start; i < end; i += limbLen) { + word = parseBase(number, i, i + limbLen, base); + + this.imuln(limbPow); + if (this.words[0] + word < 0x4000000) { + this.words[0] += word; + } else { + this._iaddn(word); + } + } + + if (mod !== 0) { + var pow = 1; + word = parseBase(number, i, number.length, base); + + for (i = 0; i < mod; i++) { + pow *= base; + } + + this.imuln(pow); + if (this.words[0] + word < 0x4000000) { + this.words[0] += word; + } else { + this._iaddn(word); + } + } + }; + + BN.prototype.copy = function copy (dest) { + dest.words = new Array(this.length); + for (var i = 0; i < this.length; i++) { + dest.words[i] = this.words[i]; + } + dest.length = this.length; + dest.negative = this.negative; + dest.red = this.red; + }; + + BN.prototype.clone = function clone () { + var r = new BN(null); + this.copy(r); + return r; + }; + + BN.prototype._expand = function _expand (size) { + while (this.length < size) { + this.words[this.length++] = 0; + } + return this; + }; + + // Remove leading `0` from `this` + BN.prototype.strip = function strip () { + while (this.length > 1 && this.words[this.length - 1] === 0) { + this.length--; + } + return this._normSign(); + }; + + BN.prototype._normSign = function _normSign () { + // -0 = 0 + if (this.length === 1 && this.words[0] === 0) { + this.negative = 0; + } + return this; + }; + + BN.prototype.inspect = function inspect () { + return (this.red ? ''; + }; + + /* + + var zeros = []; + var groupSizes = []; + var groupBases = []; + + var s = ''; + var i = -1; + while (++i < BN.wordSize) { + zeros[i] = s; + s += '0'; + } + groupSizes[0] = 0; + groupSizes[1] = 0; + groupBases[0] = 0; + groupBases[1] = 0; + var base = 2 - 1; + while (++base < 36 + 1) { + var groupSize = 0; + var groupBase = 1; + while (groupBase < (1 << BN.wordSize) / base) { + groupBase *= base; + groupSize += 1; + } + groupSizes[base] = groupSize; + groupBases[base] = groupBase; + } + + */ + + var zeros = [ + '', + '0', + '00', + '000', + '0000', + '00000', + '000000', + '0000000', + '00000000', + '000000000', + '0000000000', + '00000000000', + '000000000000', + '0000000000000', + '00000000000000', + '000000000000000', + '0000000000000000', + '00000000000000000', + '000000000000000000', + '0000000000000000000', + '00000000000000000000', + '000000000000000000000', + '0000000000000000000000', + '00000000000000000000000', + '000000000000000000000000', + '0000000000000000000000000' + ]; + + var groupSizes = [ + 0, 0, + 25, 16, 12, 11, 10, 9, 8, + 8, 7, 7, 7, 7, 6, 6, + 6, 6, 6, 6, 6, 5, 5, + 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5 + ]; + + var groupBases = [ + 0, 0, + 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216, + 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625, + 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632, + 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149, + 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176 + ]; + + BN.prototype.toString = function toString (base, padding) { + base = base || 10; + padding = padding | 0 || 1; + + var out; + if (base === 16 || base === 'hex') { + out = ''; + var off = 0; + var carry = 0; + for (var i = 0; i < this.length; i++) { + var w = this.words[i]; + var word = (((w << off) | carry) & 0xffffff).toString(16); + carry = (w >>> (24 - off)) & 0xffffff; + if (carry !== 0 || i !== this.length - 1) { + out = zeros[6 - word.length] + word + out; + } else { + out = word + out; + } + off += 2; + if (off >= 26) { + off -= 26; + i--; + } + } + if (carry !== 0) { + out = carry.toString(16) + out; + } + while (out.length % padding !== 0) { + out = '0' + out; + } + if (this.negative !== 0) { + out = '-' + out; + } + return out; + } + + if (base === (base | 0) && base >= 2 && base <= 36) { + // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base)); + var groupSize = groupSizes[base]; + // var groupBase = Math.pow(base, groupSize); + var groupBase = groupBases[base]; + out = ''; + var c = this.clone(); + c.negative = 0; + while (!c.isZero()) { + var r = c.modn(groupBase).toString(base); + c = c.idivn(groupBase); + + if (!c.isZero()) { + out = zeros[groupSize - r.length] + r + out; + } else { + out = r + out; + } + } + if (this.isZero()) { + out = '0' + out; + } + while (out.length % padding !== 0) { + out = '0' + out; + } + if (this.negative !== 0) { + out = '-' + out; + } + return out; + } + + assert(false, 'Base should be between 2 and 36'); + }; + + BN.prototype.toNumber = function toNumber () { + var ret = this.words[0]; + if (this.length === 2) { + ret += this.words[1] * 0x4000000; + } else if (this.length === 3 && this.words[2] === 0x01) { + // NOTE: at this stage it is known that the top bit is set + ret += 0x10000000000000 + (this.words[1] * 0x4000000); + } else if (this.length > 2) { + assert(false, 'Number can only safely store up to 53 bits'); + } + return (this.negative !== 0) ? -ret : ret; + }; + + BN.prototype.toJSON = function toJSON () { + return this.toString(16); + }; + + BN.prototype.toBuffer = function toBuffer (endian, length) { + assert(typeof Buffer !== 'undefined'); + return this.toArrayLike(Buffer, endian, length); + }; + + BN.prototype.toArray = function toArray (endian, length) { + return this.toArrayLike(Array, endian, length); + }; + + BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) { + var byteLength = this.byteLength(); + var reqLength = length || Math.max(1, byteLength); + assert(byteLength <= reqLength, 'byte array longer than desired length'); + assert(reqLength > 0, 'Requested array length <= 0'); + + this.strip(); + var littleEndian = endian === 'le'; + var res = new ArrayType(reqLength); + + var b, i; + var q = this.clone(); + if (!littleEndian) { + // Assume big-endian + for (i = 0; i < reqLength - byteLength; i++) { + res[i] = 0; + } + + for (i = 0; !q.isZero(); i++) { + b = q.andln(0xff); + q.iushrn(8); + + res[reqLength - i - 1] = b; + } + } else { + for (i = 0; !q.isZero(); i++) { + b = q.andln(0xff); + q.iushrn(8); + + res[i] = b; + } + + for (; i < reqLength; i++) { + res[i] = 0; + } + } + + return res; + }; + + if (Math.clz32) { + BN.prototype._countBits = function _countBits (w) { + return 32 - Math.clz32(w); + }; + } else { + BN.prototype._countBits = function _countBits (w) { + var t = w; + var r = 0; + if (t >= 0x1000) { + r += 13; + t >>>= 13; + } + if (t >= 0x40) { + r += 7; + t >>>= 7; + } + if (t >= 0x8) { + r += 4; + t >>>= 4; + } + if (t >= 0x02) { + r += 2; + t >>>= 2; + } + return r + t; + }; + } + + BN.prototype._zeroBits = function _zeroBits (w) { + // Short-cut + if (w === 0) return 26; + + var t = w; + var r = 0; + if ((t & 0x1fff) === 0) { + r += 13; + t >>>= 13; + } + if ((t & 0x7f) === 0) { + r += 7; + t >>>= 7; + } + if ((t & 0xf) === 0) { + r += 4; + t >>>= 4; + } + if ((t & 0x3) === 0) { + r += 2; + t >>>= 2; + } + if ((t & 0x1) === 0) { + r++; + } + return r; + }; + + // Return number of used bits in a BN + BN.prototype.bitLength = function bitLength () { + var w = this.words[this.length - 1]; + var hi = this._countBits(w); + return (this.length - 1) * 26 + hi; + }; + + function toBitArray (num) { + var w = new Array(num.bitLength()); + + for (var bit = 0; bit < w.length; bit++) { + var off = (bit / 26) | 0; + var wbit = bit % 26; + + w[bit] = (num.words[off] & (1 << wbit)) >>> wbit; + } + + return w; + } + + // Number of trailing zero bits + BN.prototype.zeroBits = function zeroBits () { + if (this.isZero()) return 0; + + var r = 0; + for (var i = 0; i < this.length; i++) { + var b = this._zeroBits(this.words[i]); + r += b; + if (b !== 26) break; + } + return r; + }; + + BN.prototype.byteLength = function byteLength () { + return Math.ceil(this.bitLength() / 8); + }; + + BN.prototype.toTwos = function toTwos (width) { + if (this.negative !== 0) { + return this.abs().inotn(width).iaddn(1); + } + return this.clone(); + }; + + BN.prototype.fromTwos = function fromTwos (width) { + if (this.testn(width - 1)) { + return this.notn(width).iaddn(1).ineg(); + } + return this.clone(); + }; + + BN.prototype.isNeg = function isNeg () { + return this.negative !== 0; + }; + + // Return negative clone of `this` + BN.prototype.neg = function neg () { + return this.clone().ineg(); + }; + + BN.prototype.ineg = function ineg () { + if (!this.isZero()) { + this.negative ^= 1; + } + + return this; + }; + + // Or `num` with `this` in-place + BN.prototype.iuor = function iuor (num) { + while (this.length < num.length) { + this.words[this.length++] = 0; + } + + for (var i = 0; i < num.length; i++) { + this.words[i] = this.words[i] | num.words[i]; + } + + return this.strip(); + }; + + BN.prototype.ior = function ior (num) { + assert((this.negative | num.negative) === 0); + return this.iuor(num); + }; + + // Or `num` with `this` + BN.prototype.or = function or (num) { + if (this.length > num.length) return this.clone().ior(num); + return num.clone().ior(this); + }; + + BN.prototype.uor = function uor (num) { + if (this.length > num.length) return this.clone().iuor(num); + return num.clone().iuor(this); + }; + + // And `num` with `this` in-place + BN.prototype.iuand = function iuand (num) { + // b = min-length(num, this) + var b; + if (this.length > num.length) { + b = num; + } else { + b = this; + } + + for (var i = 0; i < b.length; i++) { + this.words[i] = this.words[i] & num.words[i]; + } + + this.length = b.length; + + return this.strip(); + }; + + BN.prototype.iand = function iand (num) { + assert((this.negative | num.negative) === 0); + return this.iuand(num); + }; + + // And `num` with `this` + BN.prototype.and = function and (num) { + if (this.length > num.length) return this.clone().iand(num); + return num.clone().iand(this); + }; + + BN.prototype.uand = function uand (num) { + if (this.length > num.length) return this.clone().iuand(num); + return num.clone().iuand(this); + }; + + // Xor `num` with `this` in-place + BN.prototype.iuxor = function iuxor (num) { + // a.length > b.length + var a; + var b; + if (this.length > num.length) { + a = this; + b = num; + } else { + a = num; + b = this; + } + + for (var i = 0; i < b.length; i++) { + this.words[i] = a.words[i] ^ b.words[i]; + } + + if (this !== a) { + for (; i < a.length; i++) { + this.words[i] = a.words[i]; + } + } + + this.length = a.length; + + return this.strip(); + }; + + BN.prototype.ixor = function ixor (num) { + assert((this.negative | num.negative) === 0); + return this.iuxor(num); + }; + + // Xor `num` with `this` + BN.prototype.xor = function xor (num) { + if (this.length > num.length) return this.clone().ixor(num); + return num.clone().ixor(this); + }; + + BN.prototype.uxor = function uxor (num) { + if (this.length > num.length) return this.clone().iuxor(num); + return num.clone().iuxor(this); + }; + + // Not ``this`` with ``width`` bitwidth + BN.prototype.inotn = function inotn (width) { + assert(typeof width === 'number' && width >= 0); + + var bytesNeeded = Math.ceil(width / 26) | 0; + var bitsLeft = width % 26; + + // Extend the buffer with leading zeroes + this._expand(bytesNeeded); + + if (bitsLeft > 0) { + bytesNeeded--; + } + + // Handle complete words + for (var i = 0; i < bytesNeeded; i++) { + this.words[i] = ~this.words[i] & 0x3ffffff; + } + + // Handle the residue + if (bitsLeft > 0) { + this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft)); + } + + // And remove leading zeroes + return this.strip(); + }; + + BN.prototype.notn = function notn (width) { + return this.clone().inotn(width); + }; + + // Set `bit` of `this` + BN.prototype.setn = function setn (bit, val) { + assert(typeof bit === 'number' && bit >= 0); + + var off = (bit / 26) | 0; + var wbit = bit % 26; + + this._expand(off + 1); + + if (val) { + this.words[off] = this.words[off] | (1 << wbit); + } else { + this.words[off] = this.words[off] & ~(1 << wbit); + } + + return this.strip(); + }; + + // Add `num` to `this` in-place + BN.prototype.iadd = function iadd (num) { + var r; + + // negative + positive + if (this.negative !== 0 && num.negative === 0) { + this.negative = 0; + r = this.isub(num); + this.negative ^= 1; + return this._normSign(); + + // positive + negative + } else if (this.negative === 0 && num.negative !== 0) { + num.negative = 0; + r = this.isub(num); + num.negative = 1; + return r._normSign(); + } + + // a.length > b.length + var a, b; + if (this.length > num.length) { + a = this; + b = num; + } else { + a = num; + b = this; + } + + var carry = 0; + for (var i = 0; i < b.length; i++) { + r = (a.words[i] | 0) + (b.words[i] | 0) + carry; + this.words[i] = r & 0x3ffffff; + carry = r >>> 26; + } + for (; carry !== 0 && i < a.length; i++) { + r = (a.words[i] | 0) + carry; + this.words[i] = r & 0x3ffffff; + carry = r >>> 26; + } + + this.length = a.length; + if (carry !== 0) { + this.words[this.length] = carry; + this.length++; + // Copy the rest of the words + } else if (a !== this) { + for (; i < a.length; i++) { + this.words[i] = a.words[i]; + } + } + + return this; + }; + + // Add `num` to `this` + BN.prototype.add = function add (num) { + var res; + if (num.negative !== 0 && this.negative === 0) { + num.negative = 0; + res = this.sub(num); + num.negative ^= 1; + return res; + } else if (num.negative === 0 && this.negative !== 0) { + this.negative = 0; + res = num.sub(this); + this.negative = 1; + return res; + } + + if (this.length > num.length) return this.clone().iadd(num); + + return num.clone().iadd(this); + }; + + // Subtract `num` from `this` in-place + BN.prototype.isub = function isub (num) { + // this - (-num) = this + num + if (num.negative !== 0) { + num.negative = 0; + var r = this.iadd(num); + num.negative = 1; + return r._normSign(); + + // -this - num = -(this + num) + } else if (this.negative !== 0) { + this.negative = 0; + this.iadd(num); + this.negative = 1; + return this._normSign(); + } + + // At this point both numbers are positive + var cmp = this.cmp(num); + + // Optimization - zeroify + if (cmp === 0) { + this.negative = 0; + this.length = 1; + this.words[0] = 0; + return this; + } + + // a > b + var a, b; + if (cmp > 0) { + a = this; + b = num; + } else { + a = num; + b = this; + } + + var carry = 0; + for (var i = 0; i < b.length; i++) { + r = (a.words[i] | 0) - (b.words[i] | 0) + carry; + carry = r >> 26; + this.words[i] = r & 0x3ffffff; + } + for (; carry !== 0 && i < a.length; i++) { + r = (a.words[i] | 0) + carry; + carry = r >> 26; + this.words[i] = r & 0x3ffffff; + } + + // Copy rest of the words + if (carry === 0 && i < a.length && a !== this) { + for (; i < a.length; i++) { + this.words[i] = a.words[i]; + } + } + + this.length = Math.max(this.length, i); + + if (a !== this) { + this.negative = 1; + } + + return this.strip(); + }; + + // Subtract `num` from `this` + BN.prototype.sub = function sub (num) { + return this.clone().isub(num); + }; + + function smallMulTo (self, num, out) { + out.negative = num.negative ^ self.negative; + var len = (self.length + num.length) | 0; + out.length = len; + len = (len - 1) | 0; + + // Peel one iteration (compiler can't do it, because of code complexity) + var a = self.words[0] | 0; + var b = num.words[0] | 0; + var r = a * b; + + var lo = r & 0x3ffffff; + var carry = (r / 0x4000000) | 0; + out.words[0] = lo; + + for (var k = 1; k < len; k++) { + // Sum all words with the same `i + j = k` and accumulate `ncarry`, + // note that ncarry could be >= 0x3ffffff + var ncarry = carry >>> 26; + var rword = carry & 0x3ffffff; + var maxJ = Math.min(k, num.length - 1); + for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) { + var i = (k - j) | 0; + a = self.words[i] | 0; + b = num.words[j] | 0; + r = a * b + rword; + ncarry += (r / 0x4000000) | 0; + rword = r & 0x3ffffff; + } + out.words[k] = rword | 0; + carry = ncarry | 0; + } + if (carry !== 0) { + out.words[k] = carry | 0; + } else { + out.length--; + } + + return out.strip(); + } + + // TODO(indutny): it may be reasonable to omit it for users who don't need + // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit + // multiplication (like elliptic secp256k1). + var comb10MulTo = function comb10MulTo (self, num, out) { + var a = self.words; + var b = num.words; + var o = out.words; + var c = 0; + var lo; + var mid; + var hi; + var a0 = a[0] | 0; + var al0 = a0 & 0x1fff; + var ah0 = a0 >>> 13; + var a1 = a[1] | 0; + var al1 = a1 & 0x1fff; + var ah1 = a1 >>> 13; + var a2 = a[2] | 0; + var al2 = a2 & 0x1fff; + var ah2 = a2 >>> 13; + var a3 = a[3] | 0; + var al3 = a3 & 0x1fff; + var ah3 = a3 >>> 13; + var a4 = a[4] | 0; + var al4 = a4 & 0x1fff; + var ah4 = a4 >>> 13; + var a5 = a[5] | 0; + var al5 = a5 & 0x1fff; + var ah5 = a5 >>> 13; + var a6 = a[6] | 0; + var al6 = a6 & 0x1fff; + var ah6 = a6 >>> 13; + var a7 = a[7] | 0; + var al7 = a7 & 0x1fff; + var ah7 = a7 >>> 13; + var a8 = a[8] | 0; + var al8 = a8 & 0x1fff; + var ah8 = a8 >>> 13; + var a9 = a[9] | 0; + var al9 = a9 & 0x1fff; + var ah9 = a9 >>> 13; + var b0 = b[0] | 0; + var bl0 = b0 & 0x1fff; + var bh0 = b0 >>> 13; + var b1 = b[1] | 0; + var bl1 = b1 & 0x1fff; + var bh1 = b1 >>> 13; + var b2 = b[2] | 0; + var bl2 = b2 & 0x1fff; + var bh2 = b2 >>> 13; + var b3 = b[3] | 0; + var bl3 = b3 & 0x1fff; + var bh3 = b3 >>> 13; + var b4 = b[4] | 0; + var bl4 = b4 & 0x1fff; + var bh4 = b4 >>> 13; + var b5 = b[5] | 0; + var bl5 = b5 & 0x1fff; + var bh5 = b5 >>> 13; + var b6 = b[6] | 0; + var bl6 = b6 & 0x1fff; + var bh6 = b6 >>> 13; + var b7 = b[7] | 0; + var bl7 = b7 & 0x1fff; + var bh7 = b7 >>> 13; + var b8 = b[8] | 0; + var bl8 = b8 & 0x1fff; + var bh8 = b8 >>> 13; + var b9 = b[9] | 0; + var bl9 = b9 & 0x1fff; + var bh9 = b9 >>> 13; + + out.negative = self.negative ^ num.negative; + out.length = 19; + /* k = 0 */ + lo = Math.imul(al0, bl0); + mid = Math.imul(al0, bh0); + mid = (mid + Math.imul(ah0, bl0)) | 0; + hi = Math.imul(ah0, bh0); + var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0; + w0 &= 0x3ffffff; + /* k = 1 */ + lo = Math.imul(al1, bl0); + mid = Math.imul(al1, bh0); + mid = (mid + Math.imul(ah1, bl0)) | 0; + hi = Math.imul(ah1, bh0); + lo = (lo + Math.imul(al0, bl1)) | 0; + mid = (mid + Math.imul(al0, bh1)) | 0; + mid = (mid + Math.imul(ah0, bl1)) | 0; + hi = (hi + Math.imul(ah0, bh1)) | 0; + var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0; + w1 &= 0x3ffffff; + /* k = 2 */ + lo = Math.imul(al2, bl0); + mid = Math.imul(al2, bh0); + mid = (mid + Math.imul(ah2, bl0)) | 0; + hi = Math.imul(ah2, bh0); + lo = (lo + Math.imul(al1, bl1)) | 0; + mid = (mid + Math.imul(al1, bh1)) | 0; + mid = (mid + Math.imul(ah1, bl1)) | 0; + hi = (hi + Math.imul(ah1, bh1)) | 0; + lo = (lo + Math.imul(al0, bl2)) | 0; + mid = (mid + Math.imul(al0, bh2)) | 0; + mid = (mid + Math.imul(ah0, bl2)) | 0; + hi = (hi + Math.imul(ah0, bh2)) | 0; + var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0; + w2 &= 0x3ffffff; + /* k = 3 */ + lo = Math.imul(al3, bl0); + mid = Math.imul(al3, bh0); + mid = (mid + Math.imul(ah3, bl0)) | 0; + hi = Math.imul(ah3, bh0); + lo = (lo + Math.imul(al2, bl1)) | 0; + mid = (mid + Math.imul(al2, bh1)) | 0; + mid = (mid + Math.imul(ah2, bl1)) | 0; + hi = (hi + Math.imul(ah2, bh1)) | 0; + lo = (lo + Math.imul(al1, bl2)) | 0; + mid = (mid + Math.imul(al1, bh2)) | 0; + mid = (mid + Math.imul(ah1, bl2)) | 0; + hi = (hi + Math.imul(ah1, bh2)) | 0; + lo = (lo + Math.imul(al0, bl3)) | 0; + mid = (mid + Math.imul(al0, bh3)) | 0; + mid = (mid + Math.imul(ah0, bl3)) | 0; + hi = (hi + Math.imul(ah0, bh3)) | 0; + var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0; + w3 &= 0x3ffffff; + /* k = 4 */ + lo = Math.imul(al4, bl0); + mid = Math.imul(al4, bh0); + mid = (mid + Math.imul(ah4, bl0)) | 0; + hi = Math.imul(ah4, bh0); + lo = (lo + Math.imul(al3, bl1)) | 0; + mid = (mid + Math.imul(al3, bh1)) | 0; + mid = (mid + Math.imul(ah3, bl1)) | 0; + hi = (hi + Math.imul(ah3, bh1)) | 0; + lo = (lo + Math.imul(al2, bl2)) | 0; + mid = (mid + Math.imul(al2, bh2)) | 0; + mid = (mid + Math.imul(ah2, bl2)) | 0; + hi = (hi + Math.imul(ah2, bh2)) | 0; + lo = (lo + Math.imul(al1, bl3)) | 0; + mid = (mid + Math.imul(al1, bh3)) | 0; + mid = (mid + Math.imul(ah1, bl3)) | 0; + hi = (hi + Math.imul(ah1, bh3)) | 0; + lo = (lo + Math.imul(al0, bl4)) | 0; + mid = (mid + Math.imul(al0, bh4)) | 0; + mid = (mid + Math.imul(ah0, bl4)) | 0; + hi = (hi + Math.imul(ah0, bh4)) | 0; + var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0; + w4 &= 0x3ffffff; + /* k = 5 */ + lo = Math.imul(al5, bl0); + mid = Math.imul(al5, bh0); + mid = (mid + Math.imul(ah5, bl0)) | 0; + hi = Math.imul(ah5, bh0); + lo = (lo + Math.imul(al4, bl1)) | 0; + mid = (mid + Math.imul(al4, bh1)) | 0; + mid = (mid + Math.imul(ah4, bl1)) | 0; + hi = (hi + Math.imul(ah4, bh1)) | 0; + lo = (lo + Math.imul(al3, bl2)) | 0; + mid = (mid + Math.imul(al3, bh2)) | 0; + mid = (mid + Math.imul(ah3, bl2)) | 0; + hi = (hi + Math.imul(ah3, bh2)) | 0; + lo = (lo + Math.imul(al2, bl3)) | 0; + mid = (mid + Math.imul(al2, bh3)) | 0; + mid = (mid + Math.imul(ah2, bl3)) | 0; + hi = (hi + Math.imul(ah2, bh3)) | 0; + lo = (lo + Math.imul(al1, bl4)) | 0; + mid = (mid + Math.imul(al1, bh4)) | 0; + mid = (mid + Math.imul(ah1, bl4)) | 0; + hi = (hi + Math.imul(ah1, bh4)) | 0; + lo = (lo + Math.imul(al0, bl5)) | 0; + mid = (mid + Math.imul(al0, bh5)) | 0; + mid = (mid + Math.imul(ah0, bl5)) | 0; + hi = (hi + Math.imul(ah0, bh5)) | 0; + var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0; + w5 &= 0x3ffffff; + /* k = 6 */ + lo = Math.imul(al6, bl0); + mid = Math.imul(al6, bh0); + mid = (mid + Math.imul(ah6, bl0)) | 0; + hi = Math.imul(ah6, bh0); + lo = (lo + Math.imul(al5, bl1)) | 0; + mid = (mid + Math.imul(al5, bh1)) | 0; + mid = (mid + Math.imul(ah5, bl1)) | 0; + hi = (hi + Math.imul(ah5, bh1)) | 0; + lo = (lo + Math.imul(al4, bl2)) | 0; + mid = (mid + Math.imul(al4, bh2)) | 0; + mid = (mid + Math.imul(ah4, bl2)) | 0; + hi = (hi + Math.imul(ah4, bh2)) | 0; + lo = (lo + Math.imul(al3, bl3)) | 0; + mid = (mid + Math.imul(al3, bh3)) | 0; + mid = (mid + Math.imul(ah3, bl3)) | 0; + hi = (hi + Math.imul(ah3, bh3)) | 0; + lo = (lo + Math.imul(al2, bl4)) | 0; + mid = (mid + Math.imul(al2, bh4)) | 0; + mid = (mid + Math.imul(ah2, bl4)) | 0; + hi = (hi + Math.imul(ah2, bh4)) | 0; + lo = (lo + Math.imul(al1, bl5)) | 0; + mid = (mid + Math.imul(al1, bh5)) | 0; + mid = (mid + Math.imul(ah1, bl5)) | 0; + hi = (hi + Math.imul(ah1, bh5)) | 0; + lo = (lo + Math.imul(al0, bl6)) | 0; + mid = (mid + Math.imul(al0, bh6)) | 0; + mid = (mid + Math.imul(ah0, bl6)) | 0; + hi = (hi + Math.imul(ah0, bh6)) | 0; + var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0; + w6 &= 0x3ffffff; + /* k = 7 */ + lo = Math.imul(al7, bl0); + mid = Math.imul(al7, bh0); + mid = (mid + Math.imul(ah7, bl0)) | 0; + hi = Math.imul(ah7, bh0); + lo = (lo + Math.imul(al6, bl1)) | 0; + mid = (mid + Math.imul(al6, bh1)) | 0; + mid = (mid + Math.imul(ah6, bl1)) | 0; + hi = (hi + Math.imul(ah6, bh1)) | 0; + lo = (lo + Math.imul(al5, bl2)) | 0; + mid = (mid + Math.imul(al5, bh2)) | 0; + mid = (mid + Math.imul(ah5, bl2)) | 0; + hi = (hi + Math.imul(ah5, bh2)) | 0; + lo = (lo + Math.imul(al4, bl3)) | 0; + mid = (mid + Math.imul(al4, bh3)) | 0; + mid = (mid + Math.imul(ah4, bl3)) | 0; + hi = (hi + Math.imul(ah4, bh3)) | 0; + lo = (lo + Math.imul(al3, bl4)) | 0; + mid = (mid + Math.imul(al3, bh4)) | 0; + mid = (mid + Math.imul(ah3, bl4)) | 0; + hi = (hi + Math.imul(ah3, bh4)) | 0; + lo = (lo + Math.imul(al2, bl5)) | 0; + mid = (mid + Math.imul(al2, bh5)) | 0; + mid = (mid + Math.imul(ah2, bl5)) | 0; + hi = (hi + Math.imul(ah2, bh5)) | 0; + lo = (lo + Math.imul(al1, bl6)) | 0; + mid = (mid + Math.imul(al1, bh6)) | 0; + mid = (mid + Math.imul(ah1, bl6)) | 0; + hi = (hi + Math.imul(ah1, bh6)) | 0; + lo = (lo + Math.imul(al0, bl7)) | 0; + mid = (mid + Math.imul(al0, bh7)) | 0; + mid = (mid + Math.imul(ah0, bl7)) | 0; + hi = (hi + Math.imul(ah0, bh7)) | 0; + var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0; + w7 &= 0x3ffffff; + /* k = 8 */ + lo = Math.imul(al8, bl0); + mid = Math.imul(al8, bh0); + mid = (mid + Math.imul(ah8, bl0)) | 0; + hi = Math.imul(ah8, bh0); + lo = (lo + Math.imul(al7, bl1)) | 0; + mid = (mid + Math.imul(al7, bh1)) | 0; + mid = (mid + Math.imul(ah7, bl1)) | 0; + hi = (hi + Math.imul(ah7, bh1)) | 0; + lo = (lo + Math.imul(al6, bl2)) | 0; + mid = (mid + Math.imul(al6, bh2)) | 0; + mid = (mid + Math.imul(ah6, bl2)) | 0; + hi = (hi + Math.imul(ah6, bh2)) | 0; + lo = (lo + Math.imul(al5, bl3)) | 0; + mid = (mid + Math.imul(al5, bh3)) | 0; + mid = (mid + Math.imul(ah5, bl3)) | 0; + hi = (hi + Math.imul(ah5, bh3)) | 0; + lo = (lo + Math.imul(al4, bl4)) | 0; + mid = (mid + Math.imul(al4, bh4)) | 0; + mid = (mid + Math.imul(ah4, bl4)) | 0; + hi = (hi + Math.imul(ah4, bh4)) | 0; + lo = (lo + Math.imul(al3, bl5)) | 0; + mid = (mid + Math.imul(al3, bh5)) | 0; + mid = (mid + Math.imul(ah3, bl5)) | 0; + hi = (hi + Math.imul(ah3, bh5)) | 0; + lo = (lo + Math.imul(al2, bl6)) | 0; + mid = (mid + Math.imul(al2, bh6)) | 0; + mid = (mid + Math.imul(ah2, bl6)) | 0; + hi = (hi + Math.imul(ah2, bh6)) | 0; + lo = (lo + Math.imul(al1, bl7)) | 0; + mid = (mid + Math.imul(al1, bh7)) | 0; + mid = (mid + Math.imul(ah1, bl7)) | 0; + hi = (hi + Math.imul(ah1, bh7)) | 0; + lo = (lo + Math.imul(al0, bl8)) | 0; + mid = (mid + Math.imul(al0, bh8)) | 0; + mid = (mid + Math.imul(ah0, bl8)) | 0; + hi = (hi + Math.imul(ah0, bh8)) | 0; + var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0; + w8 &= 0x3ffffff; + /* k = 9 */ + lo = Math.imul(al9, bl0); + mid = Math.imul(al9, bh0); + mid = (mid + Math.imul(ah9, bl0)) | 0; + hi = Math.imul(ah9, bh0); + lo = (lo + Math.imul(al8, bl1)) | 0; + mid = (mid + Math.imul(al8, bh1)) | 0; + mid = (mid + Math.imul(ah8, bl1)) | 0; + hi = (hi + Math.imul(ah8, bh1)) | 0; + lo = (lo + Math.imul(al7, bl2)) | 0; + mid = (mid + Math.imul(al7, bh2)) | 0; + mid = (mid + Math.imul(ah7, bl2)) | 0; + hi = (hi + Math.imul(ah7, bh2)) | 0; + lo = (lo + Math.imul(al6, bl3)) | 0; + mid = (mid + Math.imul(al6, bh3)) | 0; + mid = (mid + Math.imul(ah6, bl3)) | 0; + hi = (hi + Math.imul(ah6, bh3)) | 0; + lo = (lo + Math.imul(al5, bl4)) | 0; + mid = (mid + Math.imul(al5, bh4)) | 0; + mid = (mid + Math.imul(ah5, bl4)) | 0; + hi = (hi + Math.imul(ah5, bh4)) | 0; + lo = (lo + Math.imul(al4, bl5)) | 0; + mid = (mid + Math.imul(al4, bh5)) | 0; + mid = (mid + Math.imul(ah4, bl5)) | 0; + hi = (hi + Math.imul(ah4, bh5)) | 0; + lo = (lo + Math.imul(al3, bl6)) | 0; + mid = (mid + Math.imul(al3, bh6)) | 0; + mid = (mid + Math.imul(ah3, bl6)) | 0; + hi = (hi + Math.imul(ah3, bh6)) | 0; + lo = (lo + Math.imul(al2, bl7)) | 0; + mid = (mid + Math.imul(al2, bh7)) | 0; + mid = (mid + Math.imul(ah2, bl7)) | 0; + hi = (hi + Math.imul(ah2, bh7)) | 0; + lo = (lo + Math.imul(al1, bl8)) | 0; + mid = (mid + Math.imul(al1, bh8)) | 0; + mid = (mid + Math.imul(ah1, bl8)) | 0; + hi = (hi + Math.imul(ah1, bh8)) | 0; + lo = (lo + Math.imul(al0, bl9)) | 0; + mid = (mid + Math.imul(al0, bh9)) | 0; + mid = (mid + Math.imul(ah0, bl9)) | 0; + hi = (hi + Math.imul(ah0, bh9)) | 0; + var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0; + w9 &= 0x3ffffff; + /* k = 10 */ + lo = Math.imul(al9, bl1); + mid = Math.imul(al9, bh1); + mid = (mid + Math.imul(ah9, bl1)) | 0; + hi = Math.imul(ah9, bh1); + lo = (lo + Math.imul(al8, bl2)) | 0; + mid = (mid + Math.imul(al8, bh2)) | 0; + mid = (mid + Math.imul(ah8, bl2)) | 0; + hi = (hi + Math.imul(ah8, bh2)) | 0; + lo = (lo + Math.imul(al7, bl3)) | 0; + mid = (mid + Math.imul(al7, bh3)) | 0; + mid = (mid + Math.imul(ah7, bl3)) | 0; + hi = (hi + Math.imul(ah7, bh3)) | 0; + lo = (lo + Math.imul(al6, bl4)) | 0; + mid = (mid + Math.imul(al6, bh4)) | 0; + mid = (mid + Math.imul(ah6, bl4)) | 0; + hi = (hi + Math.imul(ah6, bh4)) | 0; + lo = (lo + Math.imul(al5, bl5)) | 0; + mid = (mid + Math.imul(al5, bh5)) | 0; + mid = (mid + Math.imul(ah5, bl5)) | 0; + hi = (hi + Math.imul(ah5, bh5)) | 0; + lo = (lo + Math.imul(al4, bl6)) | 0; + mid = (mid + Math.imul(al4, bh6)) | 0; + mid = (mid + Math.imul(ah4, bl6)) | 0; + hi = (hi + Math.imul(ah4, bh6)) | 0; + lo = (lo + Math.imul(al3, bl7)) | 0; + mid = (mid + Math.imul(al3, bh7)) | 0; + mid = (mid + Math.imul(ah3, bl7)) | 0; + hi = (hi + Math.imul(ah3, bh7)) | 0; + lo = (lo + Math.imul(al2, bl8)) | 0; + mid = (mid + Math.imul(al2, bh8)) | 0; + mid = (mid + Math.imul(ah2, bl8)) | 0; + hi = (hi + Math.imul(ah2, bh8)) | 0; + lo = (lo + Math.imul(al1, bl9)) | 0; + mid = (mid + Math.imul(al1, bh9)) | 0; + mid = (mid + Math.imul(ah1, bl9)) | 0; + hi = (hi + Math.imul(ah1, bh9)) | 0; + var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0; + w10 &= 0x3ffffff; + /* k = 11 */ + lo = Math.imul(al9, bl2); + mid = Math.imul(al9, bh2); + mid = (mid + Math.imul(ah9, bl2)) | 0; + hi = Math.imul(ah9, bh2); + lo = (lo + Math.imul(al8, bl3)) | 0; + mid = (mid + Math.imul(al8, bh3)) | 0; + mid = (mid + Math.imul(ah8, bl3)) | 0; + hi = (hi + Math.imul(ah8, bh3)) | 0; + lo = (lo + Math.imul(al7, bl4)) | 0; + mid = (mid + Math.imul(al7, bh4)) | 0; + mid = (mid + Math.imul(ah7, bl4)) | 0; + hi = (hi + Math.imul(ah7, bh4)) | 0; + lo = (lo + Math.imul(al6, bl5)) | 0; + mid = (mid + Math.imul(al6, bh5)) | 0; + mid = (mid + Math.imul(ah6, bl5)) | 0; + hi = (hi + Math.imul(ah6, bh5)) | 0; + lo = (lo + Math.imul(al5, bl6)) | 0; + mid = (mid + Math.imul(al5, bh6)) | 0; + mid = (mid + Math.imul(ah5, bl6)) | 0; + hi = (hi + Math.imul(ah5, bh6)) | 0; + lo = (lo + Math.imul(al4, bl7)) | 0; + mid = (mid + Math.imul(al4, bh7)) | 0; + mid = (mid + Math.imul(ah4, bl7)) | 0; + hi = (hi + Math.imul(ah4, bh7)) | 0; + lo = (lo + Math.imul(al3, bl8)) | 0; + mid = (mid + Math.imul(al3, bh8)) | 0; + mid = (mid + Math.imul(ah3, bl8)) | 0; + hi = (hi + Math.imul(ah3, bh8)) | 0; + lo = (lo + Math.imul(al2, bl9)) | 0; + mid = (mid + Math.imul(al2, bh9)) | 0; + mid = (mid + Math.imul(ah2, bl9)) | 0; + hi = (hi + Math.imul(ah2, bh9)) | 0; + var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0; + w11 &= 0x3ffffff; + /* k = 12 */ + lo = Math.imul(al9, bl3); + mid = Math.imul(al9, bh3); + mid = (mid + Math.imul(ah9, bl3)) | 0; + hi = Math.imul(ah9, bh3); + lo = (lo + Math.imul(al8, bl4)) | 0; + mid = (mid + Math.imul(al8, bh4)) | 0; + mid = (mid + Math.imul(ah8, bl4)) | 0; + hi = (hi + Math.imul(ah8, bh4)) | 0; + lo = (lo + Math.imul(al7, bl5)) | 0; + mid = (mid + Math.imul(al7, bh5)) | 0; + mid = (mid + Math.imul(ah7, bl5)) | 0; + hi = (hi + Math.imul(ah7, bh5)) | 0; + lo = (lo + Math.imul(al6, bl6)) | 0; + mid = (mid + Math.imul(al6, bh6)) | 0; + mid = (mid + Math.imul(ah6, bl6)) | 0; + hi = (hi + Math.imul(ah6, bh6)) | 0; + lo = (lo + Math.imul(al5, bl7)) | 0; + mid = (mid + Math.imul(al5, bh7)) | 0; + mid = (mid + Math.imul(ah5, bl7)) | 0; + hi = (hi + Math.imul(ah5, bh7)) | 0; + lo = (lo + Math.imul(al4, bl8)) | 0; + mid = (mid + Math.imul(al4, bh8)) | 0; + mid = (mid + Math.imul(ah4, bl8)) | 0; + hi = (hi + Math.imul(ah4, bh8)) | 0; + lo = (lo + Math.imul(al3, bl9)) | 0; + mid = (mid + Math.imul(al3, bh9)) | 0; + mid = (mid + Math.imul(ah3, bl9)) | 0; + hi = (hi + Math.imul(ah3, bh9)) | 0; + var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0; + w12 &= 0x3ffffff; + /* k = 13 */ + lo = Math.imul(al9, bl4); + mid = Math.imul(al9, bh4); + mid = (mid + Math.imul(ah9, bl4)) | 0; + hi = Math.imul(ah9, bh4); + lo = (lo + Math.imul(al8, bl5)) | 0; + mid = (mid + Math.imul(al8, bh5)) | 0; + mid = (mid + Math.imul(ah8, bl5)) | 0; + hi = (hi + Math.imul(ah8, bh5)) | 0; + lo = (lo + Math.imul(al7, bl6)) | 0; + mid = (mid + Math.imul(al7, bh6)) | 0; + mid = (mid + Math.imul(ah7, bl6)) | 0; + hi = (hi + Math.imul(ah7, bh6)) | 0; + lo = (lo + Math.imul(al6, bl7)) | 0; + mid = (mid + Math.imul(al6, bh7)) | 0; + mid = (mid + Math.imul(ah6, bl7)) | 0; + hi = (hi + Math.imul(ah6, bh7)) | 0; + lo = (lo + Math.imul(al5, bl8)) | 0; + mid = (mid + Math.imul(al5, bh8)) | 0; + mid = (mid + Math.imul(ah5, bl8)) | 0; + hi = (hi + Math.imul(ah5, bh8)) | 0; + lo = (lo + Math.imul(al4, bl9)) | 0; + mid = (mid + Math.imul(al4, bh9)) | 0; + mid = (mid + Math.imul(ah4, bl9)) | 0; + hi = (hi + Math.imul(ah4, bh9)) | 0; + var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0; + w13 &= 0x3ffffff; + /* k = 14 */ + lo = Math.imul(al9, bl5); + mid = Math.imul(al9, bh5); + mid = (mid + Math.imul(ah9, bl5)) | 0; + hi = Math.imul(ah9, bh5); + lo = (lo + Math.imul(al8, bl6)) | 0; + mid = (mid + Math.imul(al8, bh6)) | 0; + mid = (mid + Math.imul(ah8, bl6)) | 0; + hi = (hi + Math.imul(ah8, bh6)) | 0; + lo = (lo + Math.imul(al7, bl7)) | 0; + mid = (mid + Math.imul(al7, bh7)) | 0; + mid = (mid + Math.imul(ah7, bl7)) | 0; + hi = (hi + Math.imul(ah7, bh7)) | 0; + lo = (lo + Math.imul(al6, bl8)) | 0; + mid = (mid + Math.imul(al6, bh8)) | 0; + mid = (mid + Math.imul(ah6, bl8)) | 0; + hi = (hi + Math.imul(ah6, bh8)) | 0; + lo = (lo + Math.imul(al5, bl9)) | 0; + mid = (mid + Math.imul(al5, bh9)) | 0; + mid = (mid + Math.imul(ah5, bl9)) | 0; + hi = (hi + Math.imul(ah5, bh9)) | 0; + var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0; + w14 &= 0x3ffffff; + /* k = 15 */ + lo = Math.imul(al9, bl6); + mid = Math.imul(al9, bh6); + mid = (mid + Math.imul(ah9, bl6)) | 0; + hi = Math.imul(ah9, bh6); + lo = (lo + Math.imul(al8, bl7)) | 0; + mid = (mid + Math.imul(al8, bh7)) | 0; + mid = (mid + Math.imul(ah8, bl7)) | 0; + hi = (hi + Math.imul(ah8, bh7)) | 0; + lo = (lo + Math.imul(al7, bl8)) | 0; + mid = (mid + Math.imul(al7, bh8)) | 0; + mid = (mid + Math.imul(ah7, bl8)) | 0; + hi = (hi + Math.imul(ah7, bh8)) | 0; + lo = (lo + Math.imul(al6, bl9)) | 0; + mid = (mid + Math.imul(al6, bh9)) | 0; + mid = (mid + Math.imul(ah6, bl9)) | 0; + hi = (hi + Math.imul(ah6, bh9)) | 0; + var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0; + w15 &= 0x3ffffff; + /* k = 16 */ + lo = Math.imul(al9, bl7); + mid = Math.imul(al9, bh7); + mid = (mid + Math.imul(ah9, bl7)) | 0; + hi = Math.imul(ah9, bh7); + lo = (lo + Math.imul(al8, bl8)) | 0; + mid = (mid + Math.imul(al8, bh8)) | 0; + mid = (mid + Math.imul(ah8, bl8)) | 0; + hi = (hi + Math.imul(ah8, bh8)) | 0; + lo = (lo + Math.imul(al7, bl9)) | 0; + mid = (mid + Math.imul(al7, bh9)) | 0; + mid = (mid + Math.imul(ah7, bl9)) | 0; + hi = (hi + Math.imul(ah7, bh9)) | 0; + var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0; + w16 &= 0x3ffffff; + /* k = 17 */ + lo = Math.imul(al9, bl8); + mid = Math.imul(al9, bh8); + mid = (mid + Math.imul(ah9, bl8)) | 0; + hi = Math.imul(ah9, bh8); + lo = (lo + Math.imul(al8, bl9)) | 0; + mid = (mid + Math.imul(al8, bh9)) | 0; + mid = (mid + Math.imul(ah8, bl9)) | 0; + hi = (hi + Math.imul(ah8, bh9)) | 0; + var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0; + w17 &= 0x3ffffff; + /* k = 18 */ + lo = Math.imul(al9, bl9); + mid = Math.imul(al9, bh9); + mid = (mid + Math.imul(ah9, bl9)) | 0; + hi = Math.imul(ah9, bh9); + var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0; + w18 &= 0x3ffffff; + o[0] = w0; + o[1] = w1; + o[2] = w2; + o[3] = w3; + o[4] = w4; + o[5] = w5; + o[6] = w6; + o[7] = w7; + o[8] = w8; + o[9] = w9; + o[10] = w10; + o[11] = w11; + o[12] = w12; + o[13] = w13; + o[14] = w14; + o[15] = w15; + o[16] = w16; + o[17] = w17; + o[18] = w18; + if (c !== 0) { + o[19] = c; + out.length++; + } + return out; + }; + + // Polyfill comb + if (!Math.imul) { + comb10MulTo = smallMulTo; + } + + function bigMulTo (self, num, out) { + out.negative = num.negative ^ self.negative; + out.length = self.length + num.length; + + var carry = 0; + var hncarry = 0; + for (var k = 0; k < out.length - 1; k++) { + // Sum all words with the same `i + j = k` and accumulate `ncarry`, + // note that ncarry could be >= 0x3ffffff + var ncarry = hncarry; + hncarry = 0; + var rword = carry & 0x3ffffff; + var maxJ = Math.min(k, num.length - 1); + for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) { + var i = k - j; + var a = self.words[i] | 0; + var b = num.words[j] | 0; + var r = a * b; + + var lo = r & 0x3ffffff; + ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0; + lo = (lo + rword) | 0; + rword = lo & 0x3ffffff; + ncarry = (ncarry + (lo >>> 26)) | 0; + + hncarry += ncarry >>> 26; + ncarry &= 0x3ffffff; + } + out.words[k] = rword; + carry = ncarry; + ncarry = hncarry; + } + if (carry !== 0) { + out.words[k] = carry; + } else { + out.length--; + } + + return out.strip(); + } + + function jumboMulTo (self, num, out) { + var fftm = new FFTM(); + return fftm.mulp(self, num, out); + } + + BN.prototype.mulTo = function mulTo (num, out) { + var res; + var len = this.length + num.length; + if (this.length === 10 && num.length === 10) { + res = comb10MulTo(this, num, out); + } else if (len < 63) { + res = smallMulTo(this, num, out); + } else if (len < 1024) { + res = bigMulTo(this, num, out); + } else { + res = jumboMulTo(this, num, out); + } + + return res; + }; + + // Cooley-Tukey algorithm for FFT + // slightly revisited to rely on looping instead of recursion + + function FFTM (x, y) { + this.x = x; + this.y = y; + } + + FFTM.prototype.makeRBT = function makeRBT (N) { + var t = new Array(N); + var l = BN.prototype._countBits(N) - 1; + for (var i = 0; i < N; i++) { + t[i] = this.revBin(i, l, N); + } + + return t; + }; + + // Returns binary-reversed representation of `x` + FFTM.prototype.revBin = function revBin (x, l, N) { + if (x === 0 || x === N - 1) return x; + + var rb = 0; + for (var i = 0; i < l; i++) { + rb |= (x & 1) << (l - i - 1); + x >>= 1; + } + + return rb; + }; + + // Performs "tweedling" phase, therefore 'emulating' + // behaviour of the recursive algorithm + FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) { + for (var i = 0; i < N; i++) { + rtws[i] = rws[rbt[i]]; + itws[i] = iws[rbt[i]]; + } + }; + + FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) { + this.permute(rbt, rws, iws, rtws, itws, N); + + for (var s = 1; s < N; s <<= 1) { + var l = s << 1; + + var rtwdf = Math.cos(2 * Math.PI / l); + var itwdf = Math.sin(2 * Math.PI / l); + + for (var p = 0; p < N; p += l) { + var rtwdf_ = rtwdf; + var itwdf_ = itwdf; + + for (var j = 0; j < s; j++) { + var re = rtws[p + j]; + var ie = itws[p + j]; + + var ro = rtws[p + j + s]; + var io = itws[p + j + s]; + + var rx = rtwdf_ * ro - itwdf_ * io; + + io = rtwdf_ * io + itwdf_ * ro; + ro = rx; + + rtws[p + j] = re + ro; + itws[p + j] = ie + io; + + rtws[p + j + s] = re - ro; + itws[p + j + s] = ie - io; + + /* jshint maxdepth : false */ + if (j !== l) { + rx = rtwdf * rtwdf_ - itwdf * itwdf_; + + itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_; + rtwdf_ = rx; + } + } + } + } + }; + + FFTM.prototype.guessLen13b = function guessLen13b (n, m) { + var N = Math.max(m, n) | 1; + var odd = N & 1; + var i = 0; + for (N = N / 2 | 0; N; N = N >>> 1) { + i++; + } + + return 1 << i + 1 + odd; + }; + + FFTM.prototype.conjugate = function conjugate (rws, iws, N) { + if (N <= 1) return; + + for (var i = 0; i < N / 2; i++) { + var t = rws[i]; + + rws[i] = rws[N - i - 1]; + rws[N - i - 1] = t; + + t = iws[i]; + + iws[i] = -iws[N - i - 1]; + iws[N - i - 1] = -t; + } + }; + + FFTM.prototype.normalize13b = function normalize13b (ws, N) { + var carry = 0; + for (var i = 0; i < N / 2; i++) { + var w = Math.round(ws[2 * i + 1] / N) * 0x2000 + + Math.round(ws[2 * i] / N) + + carry; + + ws[i] = w & 0x3ffffff; + + if (w < 0x4000000) { + carry = 0; + } else { + carry = w / 0x4000000 | 0; + } + } + + return ws; + }; + + FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) { + var carry = 0; + for (var i = 0; i < len; i++) { + carry = carry + (ws[i] | 0); + + rws[2 * i] = carry & 0x1fff; carry = carry >>> 13; + rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13; + } + + // Pad with zeroes + for (i = 2 * len; i < N; ++i) { + rws[i] = 0; + } + + assert(carry === 0); + assert((carry & ~0x1fff) === 0); + }; + + FFTM.prototype.stub = function stub (N) { + var ph = new Array(N); + for (var i = 0; i < N; i++) { + ph[i] = 0; + } + + return ph; + }; + + FFTM.prototype.mulp = function mulp (x, y, out) { + var N = 2 * this.guessLen13b(x.length, y.length); + + var rbt = this.makeRBT(N); + + var _ = this.stub(N); + + var rws = new Array(N); + var rwst = new Array(N); + var iwst = new Array(N); + + var nrws = new Array(N); + var nrwst = new Array(N); + var niwst = new Array(N); + + var rmws = out.words; + rmws.length = N; + + this.convert13b(x.words, x.length, rws, N); + this.convert13b(y.words, y.length, nrws, N); + + this.transform(rws, _, rwst, iwst, N, rbt); + this.transform(nrws, _, nrwst, niwst, N, rbt); + + for (var i = 0; i < N; i++) { + var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i]; + iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i]; + rwst[i] = rx; + } + + this.conjugate(rwst, iwst, N); + this.transform(rwst, iwst, rmws, _, N, rbt); + this.conjugate(rmws, _, N); + this.normalize13b(rmws, N); + + out.negative = x.negative ^ y.negative; + out.length = x.length + y.length; + return out.strip(); + }; + + // Multiply `this` by `num` + BN.prototype.mul = function mul (num) { + var out = new BN(null); + out.words = new Array(this.length + num.length); + return this.mulTo(num, out); + }; + + // Multiply employing FFT + BN.prototype.mulf = function mulf (num) { + var out = new BN(null); + out.words = new Array(this.length + num.length); + return jumboMulTo(this, num, out); + }; + + // In-place Multiplication + BN.prototype.imul = function imul (num) { + return this.clone().mulTo(num, this); + }; + + BN.prototype.imuln = function imuln (num) { + assert(typeof num === 'number'); + assert(num < 0x4000000); + + // Carry + var carry = 0; + for (var i = 0; i < this.length; i++) { + var w = (this.words[i] | 0) * num; + var lo = (w & 0x3ffffff) + (carry & 0x3ffffff); + carry >>= 26; + carry += (w / 0x4000000) | 0; + // NOTE: lo is 27bit maximum + carry += lo >>> 26; + this.words[i] = lo & 0x3ffffff; + } + + if (carry !== 0) { + this.words[i] = carry; + this.length++; + } + + return this; + }; + + BN.prototype.muln = function muln (num) { + return this.clone().imuln(num); + }; + + // `this` * `this` + BN.prototype.sqr = function sqr () { + return this.mul(this); + }; + + // `this` * `this` in-place + BN.prototype.isqr = function isqr () { + return this.imul(this.clone()); + }; + + // Math.pow(`this`, `num`) + BN.prototype.pow = function pow (num) { + var w = toBitArray(num); + if (w.length === 0) return new BN(1); + + // Skip leading zeroes + var res = this; + for (var i = 0; i < w.length; i++, res = res.sqr()) { + if (w[i] !== 0) break; + } + + if (++i < w.length) { + for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) { + if (w[i] === 0) continue; + + res = res.mul(q); + } + } + + return res; + }; + + // Shift-left in-place + BN.prototype.iushln = function iushln (bits) { + assert(typeof bits === 'number' && bits >= 0); + var r = bits % 26; + var s = (bits - r) / 26; + var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r); + var i; + + if (r !== 0) { + var carry = 0; + + for (i = 0; i < this.length; i++) { + var newCarry = this.words[i] & carryMask; + var c = ((this.words[i] | 0) - newCarry) << r; + this.words[i] = c | carry; + carry = newCarry >>> (26 - r); + } + + if (carry) { + this.words[i] = carry; + this.length++; + } + } + + if (s !== 0) { + for (i = this.length - 1; i >= 0; i--) { + this.words[i + s] = this.words[i]; + } + + for (i = 0; i < s; i++) { + this.words[i] = 0; + } + + this.length += s; + } + + return this.strip(); + }; + + BN.prototype.ishln = function ishln (bits) { + // TODO(indutny): implement me + assert(this.negative === 0); + return this.iushln(bits); + }; + + // Shift-right in-place + // NOTE: `hint` is a lowest bit before trailing zeroes + // NOTE: if `extended` is present - it will be filled with destroyed bits + BN.prototype.iushrn = function iushrn (bits, hint, extended) { + assert(typeof bits === 'number' && bits >= 0); + var h; + if (hint) { + h = (hint - (hint % 26)) / 26; + } else { + h = 0; + } + + var r = bits % 26; + var s = Math.min((bits - r) / 26, this.length); + var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); + var maskedWords = extended; + + h -= s; + h = Math.max(0, h); + + // Extended mode, copy masked part + if (maskedWords) { + for (var i = 0; i < s; i++) { + maskedWords.words[i] = this.words[i]; + } + maskedWords.length = s; + } + + if (s === 0) { + // No-op, we should not move anything at all + } else if (this.length > s) { + this.length -= s; + for (i = 0; i < this.length; i++) { + this.words[i] = this.words[i + s]; + } + } else { + this.words[0] = 0; + this.length = 1; + } + + var carry = 0; + for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) { + var word = this.words[i] | 0; + this.words[i] = (carry << (26 - r)) | (word >>> r); + carry = word & mask; + } + + // Push carried bits as a mask + if (maskedWords && carry !== 0) { + maskedWords.words[maskedWords.length++] = carry; + } + + if (this.length === 0) { + this.words[0] = 0; + this.length = 1; + } + + return this.strip(); + }; + + BN.prototype.ishrn = function ishrn (bits, hint, extended) { + // TODO(indutny): implement me + assert(this.negative === 0); + return this.iushrn(bits, hint, extended); + }; + + // Shift-left + BN.prototype.shln = function shln (bits) { + return this.clone().ishln(bits); + }; + + BN.prototype.ushln = function ushln (bits) { + return this.clone().iushln(bits); + }; + + // Shift-right + BN.prototype.shrn = function shrn (bits) { + return this.clone().ishrn(bits); + }; + + BN.prototype.ushrn = function ushrn (bits) { + return this.clone().iushrn(bits); + }; + + // Test if n bit is set + BN.prototype.testn = function testn (bit) { + assert(typeof bit === 'number' && bit >= 0); + var r = bit % 26; + var s = (bit - r) / 26; + var q = 1 << r; + + // Fast case: bit is much higher than all existing words + if (this.length <= s) return false; + + // Check bit and return + var w = this.words[s]; + + return !!(w & q); + }; + + // Return only lowers bits of number (in-place) + BN.prototype.imaskn = function imaskn (bits) { + assert(typeof bits === 'number' && bits >= 0); + var r = bits % 26; + var s = (bits - r) / 26; + + assert(this.negative === 0, 'imaskn works only with positive numbers'); + + if (this.length <= s) { + return this; + } + + if (r !== 0) { + s++; + } + this.length = Math.min(s, this.length); + + if (r !== 0) { + var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); + this.words[this.length - 1] &= mask; + } + + return this.strip(); + }; + + // Return only lowers bits of number + BN.prototype.maskn = function maskn (bits) { + return this.clone().imaskn(bits); + }; + + // Add plain number `num` to `this` + BN.prototype.iaddn = function iaddn (num) { + assert(typeof num === 'number'); + assert(num < 0x4000000); + if (num < 0) return this.isubn(-num); + + // Possible sign change + if (this.negative !== 0) { + if (this.length === 1 && (this.words[0] | 0) < num) { + this.words[0] = num - (this.words[0] | 0); + this.negative = 0; + return this; + } + + this.negative = 0; + this.isubn(num); + this.negative = 1; + return this; + } + + // Add without checks + return this._iaddn(num); + }; + + BN.prototype._iaddn = function _iaddn (num) { + this.words[0] += num; + + // Carry + for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) { + this.words[i] -= 0x4000000; + if (i === this.length - 1) { + this.words[i + 1] = 1; + } else { + this.words[i + 1]++; + } + } + this.length = Math.max(this.length, i + 1); + + return this; + }; + + // Subtract plain number `num` from `this` + BN.prototype.isubn = function isubn (num) { + assert(typeof num === 'number'); + assert(num < 0x4000000); + if (num < 0) return this.iaddn(-num); + + if (this.negative !== 0) { + this.negative = 0; + this.iaddn(num); + this.negative = 1; + return this; + } + + this.words[0] -= num; + + if (this.length === 1 && this.words[0] < 0) { + this.words[0] = -this.words[0]; + this.negative = 1; + } else { + // Carry + for (var i = 0; i < this.length && this.words[i] < 0; i++) { + this.words[i] += 0x4000000; + this.words[i + 1] -= 1; + } + } + + return this.strip(); + }; + + BN.prototype.addn = function addn (num) { + return this.clone().iaddn(num); + }; + + BN.prototype.subn = function subn (num) { + return this.clone().isubn(num); + }; + + BN.prototype.iabs = function iabs () { + this.negative = 0; + + return this; + }; + + BN.prototype.abs = function abs () { + return this.clone().iabs(); + }; + + BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) { + var len = num.length + shift; + var i; + + this._expand(len); + + var w; + var carry = 0; + for (i = 0; i < num.length; i++) { + w = (this.words[i + shift] | 0) + carry; + var right = (num.words[i] | 0) * mul; + w -= right & 0x3ffffff; + carry = (w >> 26) - ((right / 0x4000000) | 0); + this.words[i + shift] = w & 0x3ffffff; + } + for (; i < this.length - shift; i++) { + w = (this.words[i + shift] | 0) + carry; + carry = w >> 26; + this.words[i + shift] = w & 0x3ffffff; + } + + if (carry === 0) return this.strip(); + + // Subtraction overflow + assert(carry === -1); + carry = 0; + for (i = 0; i < this.length; i++) { + w = -(this.words[i] | 0) + carry; + carry = w >> 26; + this.words[i] = w & 0x3ffffff; + } + this.negative = 1; + + return this.strip(); + }; + + BN.prototype._wordDiv = function _wordDiv (num, mode) { + var shift = this.length - num.length; + + var a = this.clone(); + var b = num; + + // Normalize + var bhi = b.words[b.length - 1] | 0; + var bhiBits = this._countBits(bhi); + shift = 26 - bhiBits; + if (shift !== 0) { + b = b.ushln(shift); + a.iushln(shift); + bhi = b.words[b.length - 1] | 0; + } + + // Initialize quotient + var m = a.length - b.length; + var q; + + if (mode !== 'mod') { + q = new BN(null); + q.length = m + 1; + q.words = new Array(q.length); + for (var i = 0; i < q.length; i++) { + q.words[i] = 0; + } + } + + var diff = a.clone()._ishlnsubmul(b, 1, m); + if (diff.negative === 0) { + a = diff; + if (q) { + q.words[m] = 1; + } + } + + for (var j = m - 1; j >= 0; j--) { + var qj = (a.words[b.length + j] | 0) * 0x4000000 + + (a.words[b.length + j - 1] | 0); + + // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max + // (0x7ffffff) + qj = Math.min((qj / bhi) | 0, 0x3ffffff); + + a._ishlnsubmul(b, qj, j); + while (a.negative !== 0) { + qj--; + a.negative = 0; + a._ishlnsubmul(b, 1, j); + if (!a.isZero()) { + a.negative ^= 1; + } + } + if (q) { + q.words[j] = qj; + } + } + if (q) { + q.strip(); + } + a.strip(); + + // Denormalize + if (mode !== 'div' && shift !== 0) { + a.iushrn(shift); + } + + return { + div: q || null, + mod: a + }; + }; + + // NOTE: 1) `mode` can be set to `mod` to request mod only, + // to `div` to request div only, or be absent to + // request both div & mod + // 2) `positive` is true if unsigned mod is requested + BN.prototype.divmod = function divmod (num, mode, positive) { + assert(!num.isZero()); + + if (this.isZero()) { + return { + div: new BN(0), + mod: new BN(0) + }; + } + + var div, mod, res; + if (this.negative !== 0 && num.negative === 0) { + res = this.neg().divmod(num, mode); + + if (mode !== 'mod') { + div = res.div.neg(); + } + + if (mode !== 'div') { + mod = res.mod.neg(); + if (positive && mod.negative !== 0) { + mod.iadd(num); + } + } + + return { + div: div, + mod: mod + }; + } + + if (this.negative === 0 && num.negative !== 0) { + res = this.divmod(num.neg(), mode); + + if (mode !== 'mod') { + div = res.div.neg(); + } + + return { + div: div, + mod: res.mod + }; + } + + if ((this.negative & num.negative) !== 0) { + res = this.neg().divmod(num.neg(), mode); + + if (mode !== 'div') { + mod = res.mod.neg(); + if (positive && mod.negative !== 0) { + mod.isub(num); + } + } + + return { + div: res.div, + mod: mod + }; + } + + // Both numbers are positive at this point + + // Strip both numbers to approximate shift value + if (num.length > this.length || this.cmp(num) < 0) { + return { + div: new BN(0), + mod: this + }; + } + + // Very short reduction + if (num.length === 1) { + if (mode === 'div') { + return { + div: this.divn(num.words[0]), + mod: null + }; + } + + if (mode === 'mod') { + return { + div: null, + mod: new BN(this.modn(num.words[0])) + }; + } + + return { + div: this.divn(num.words[0]), + mod: new BN(this.modn(num.words[0])) + }; + } + + return this._wordDiv(num, mode); + }; + + // Find `this` / `num` + BN.prototype.div = function div (num) { + return this.divmod(num, 'div', false).div; + }; + + // Find `this` % `num` + BN.prototype.mod = function mod (num) { + return this.divmod(num, 'mod', false).mod; + }; + + BN.prototype.umod = function umod (num) { + return this.divmod(num, 'mod', true).mod; + }; + + // Find Round(`this` / `num`) + BN.prototype.divRound = function divRound (num) { + var dm = this.divmod(num); + + // Fast case - exact division + if (dm.mod.isZero()) return dm.div; + + var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod; + + var half = num.ushrn(1); + var r2 = num.andln(1); + var cmp = mod.cmp(half); + + // Round down + if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div; + + // Round up + return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1); + }; + + BN.prototype.modn = function modn (num) { + assert(num <= 0x3ffffff); + var p = (1 << 26) % num; + + var acc = 0; + for (var i = this.length - 1; i >= 0; i--) { + acc = (p * acc + (this.words[i] | 0)) % num; + } + + return acc; + }; + + // In-place division by number + BN.prototype.idivn = function idivn (num) { + assert(num <= 0x3ffffff); + + var carry = 0; + for (var i = this.length - 1; i >= 0; i--) { + var w = (this.words[i] | 0) + carry * 0x4000000; + this.words[i] = (w / num) | 0; + carry = w % num; + } + + return this.strip(); + }; + + BN.prototype.divn = function divn (num) { + return this.clone().idivn(num); + }; + + BN.prototype.egcd = function egcd (p) { + assert(p.negative === 0); + assert(!p.isZero()); + + var x = this; + var y = p.clone(); + + if (x.negative !== 0) { + x = x.umod(p); + } else { + x = x.clone(); + } + + // A * x + B * y = x + var A = new BN(1); + var B = new BN(0); + + // C * x + D * y = y + var C = new BN(0); + var D = new BN(1); + + var g = 0; + + while (x.isEven() && y.isEven()) { + x.iushrn(1); + y.iushrn(1); + ++g; + } + + var yp = y.clone(); + var xp = x.clone(); + + while (!x.isZero()) { + for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1); + if (i > 0) { + x.iushrn(i); + while (i-- > 0) { + if (A.isOdd() || B.isOdd()) { + A.iadd(yp); + B.isub(xp); + } + + A.iushrn(1); + B.iushrn(1); + } + } + + for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1); + if (j > 0) { + y.iushrn(j); + while (j-- > 0) { + if (C.isOdd() || D.isOdd()) { + C.iadd(yp); + D.isub(xp); + } + + C.iushrn(1); + D.iushrn(1); + } + } + + if (x.cmp(y) >= 0) { + x.isub(y); + A.isub(C); + B.isub(D); + } else { + y.isub(x); + C.isub(A); + D.isub(B); + } + } + + return { + a: C, + b: D, + gcd: y.iushln(g) + }; + }; + + // This is reduced incarnation of the binary EEA + // above, designated to invert members of the + // _prime_ fields F(p) at a maximal speed + BN.prototype._invmp = function _invmp (p) { + assert(p.negative === 0); + assert(!p.isZero()); + + var a = this; + var b = p.clone(); + + if (a.negative !== 0) { + a = a.umod(p); + } else { + a = a.clone(); + } + + var x1 = new BN(1); + var x2 = new BN(0); + + var delta = b.clone(); + + while (a.cmpn(1) > 0 && b.cmpn(1) > 0) { + for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1); + if (i > 0) { + a.iushrn(i); + while (i-- > 0) { + if (x1.isOdd()) { + x1.iadd(delta); + } + + x1.iushrn(1); + } + } + + for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1); + if (j > 0) { + b.iushrn(j); + while (j-- > 0) { + if (x2.isOdd()) { + x2.iadd(delta); + } + + x2.iushrn(1); + } + } + + if (a.cmp(b) >= 0) { + a.isub(b); + x1.isub(x2); + } else { + b.isub(a); + x2.isub(x1); + } + } + + var res; + if (a.cmpn(1) === 0) { + res = x1; + } else { + res = x2; + } + + if (res.cmpn(0) < 0) { + res.iadd(p); + } + + return res; + }; + + BN.prototype.gcd = function gcd (num) { + if (this.isZero()) return num.abs(); + if (num.isZero()) return this.abs(); + + var a = this.clone(); + var b = num.clone(); + a.negative = 0; + b.negative = 0; + + // Remove common factor of two + for (var shift = 0; a.isEven() && b.isEven(); shift++) { + a.iushrn(1); + b.iushrn(1); + } + + do { + while (a.isEven()) { + a.iushrn(1); + } + while (b.isEven()) { + b.iushrn(1); + } + + var r = a.cmp(b); + if (r < 0) { + // Swap `a` and `b` to make `a` always bigger than `b` + var t = a; + a = b; + b = t; + } else if (r === 0 || b.cmpn(1) === 0) { + break; + } + + a.isub(b); + } while (true); + + return b.iushln(shift); + }; + + // Invert number in the field F(num) + BN.prototype.invm = function invm (num) { + return this.egcd(num).a.umod(num); + }; + + BN.prototype.isEven = function isEven () { + return (this.words[0] & 1) === 0; + }; + + BN.prototype.isOdd = function isOdd () { + return (this.words[0] & 1) === 1; + }; + + // And first word and num + BN.prototype.andln = function andln (num) { + return this.words[0] & num; + }; + + // Increment at the bit position in-line + BN.prototype.bincn = function bincn (bit) { + assert(typeof bit === 'number'); + var r = bit % 26; + var s = (bit - r) / 26; + var q = 1 << r; + + // Fast case: bit is much higher than all existing words + if (this.length <= s) { + this._expand(s + 1); + this.words[s] |= q; + return this; + } + + // Add bit and propagate, if needed + var carry = q; + for (var i = s; carry !== 0 && i < this.length; i++) { + var w = this.words[i] | 0; + w += carry; + carry = w >>> 26; + w &= 0x3ffffff; + this.words[i] = w; + } + if (carry !== 0) { + this.words[i] = carry; + this.length++; + } + return this; + }; + + BN.prototype.isZero = function isZero () { + return this.length === 1 && this.words[0] === 0; + }; + + BN.prototype.cmpn = function cmpn (num) { + var negative = num < 0; + + if (this.negative !== 0 && !negative) return -1; + if (this.negative === 0 && negative) return 1; + + this.strip(); + + var res; + if (this.length > 1) { + res = 1; + } else { + if (negative) { + num = -num; + } + + assert(num <= 0x3ffffff, 'Number is too big'); + + var w = this.words[0] | 0; + res = w === num ? 0 : w < num ? -1 : 1; + } + if (this.negative !== 0) return -res | 0; + return res; + }; + + // Compare two numbers and return: + // 1 - if `this` > `num` + // 0 - if `this` == `num` + // -1 - if `this` < `num` + BN.prototype.cmp = function cmp (num) { + if (this.negative !== 0 && num.negative === 0) return -1; + if (this.negative === 0 && num.negative !== 0) return 1; + + var res = this.ucmp(num); + if (this.negative !== 0) return -res | 0; + return res; + }; + + // Unsigned comparison + BN.prototype.ucmp = function ucmp (num) { + // At this point both numbers have the same sign + if (this.length > num.length) return 1; + if (this.length < num.length) return -1; + + var res = 0; + for (var i = this.length - 1; i >= 0; i--) { + var a = this.words[i] | 0; + var b = num.words[i] | 0; + + if (a === b) continue; + if (a < b) { + res = -1; + } else if (a > b) { + res = 1; + } + break; + } + return res; + }; + + BN.prototype.gtn = function gtn (num) { + return this.cmpn(num) === 1; + }; + + BN.prototype.gt = function gt (num) { + return this.cmp(num) === 1; + }; + + BN.prototype.gten = function gten (num) { + return this.cmpn(num) >= 0; + }; + + BN.prototype.gte = function gte (num) { + return this.cmp(num) >= 0; + }; + + BN.prototype.ltn = function ltn (num) { + return this.cmpn(num) === -1; + }; + + BN.prototype.lt = function lt (num) { + return this.cmp(num) === -1; + }; + + BN.prototype.lten = function lten (num) { + return this.cmpn(num) <= 0; + }; + + BN.prototype.lte = function lte (num) { + return this.cmp(num) <= 0; + }; + + BN.prototype.eqn = function eqn (num) { + return this.cmpn(num) === 0; + }; + + BN.prototype.eq = function eq (num) { + return this.cmp(num) === 0; + }; + + // + // A reduce context, could be using montgomery or something better, depending + // on the `m` itself. + // + BN.red = function red (num) { + return new Red(num); + }; + + BN.prototype.toRed = function toRed (ctx) { + assert(!this.red, 'Already a number in reduction context'); + assert(this.negative === 0, 'red works only with positives'); + return ctx.convertTo(this)._forceRed(ctx); + }; + + BN.prototype.fromRed = function fromRed () { + assert(this.red, 'fromRed works only with numbers in reduction context'); + return this.red.convertFrom(this); + }; + + BN.prototype._forceRed = function _forceRed (ctx) { + this.red = ctx; + return this; + }; + + BN.prototype.forceRed = function forceRed (ctx) { + assert(!this.red, 'Already a number in reduction context'); + return this._forceRed(ctx); + }; + + BN.prototype.redAdd = function redAdd (num) { + assert(this.red, 'redAdd works only with red numbers'); + return this.red.add(this, num); + }; + + BN.prototype.redIAdd = function redIAdd (num) { + assert(this.red, 'redIAdd works only with red numbers'); + return this.red.iadd(this, num); + }; + + BN.prototype.redSub = function redSub (num) { + assert(this.red, 'redSub works only with red numbers'); + return this.red.sub(this, num); + }; + + BN.prototype.redISub = function redISub (num) { + assert(this.red, 'redISub works only with red numbers'); + return this.red.isub(this, num); + }; + + BN.prototype.redShl = function redShl (num) { + assert(this.red, 'redShl works only with red numbers'); + return this.red.shl(this, num); + }; + + BN.prototype.redMul = function redMul (num) { + assert(this.red, 'redMul works only with red numbers'); + this.red._verify2(this, num); + return this.red.mul(this, num); + }; + + BN.prototype.redIMul = function redIMul (num) { + assert(this.red, 'redMul works only with red numbers'); + this.red._verify2(this, num); + return this.red.imul(this, num); + }; + + BN.prototype.redSqr = function redSqr () { + assert(this.red, 'redSqr works only with red numbers'); + this.red._verify1(this); + return this.red.sqr(this); + }; + + BN.prototype.redISqr = function redISqr () { + assert(this.red, 'redISqr works only with red numbers'); + this.red._verify1(this); + return this.red.isqr(this); + }; + + // Square root over p + BN.prototype.redSqrt = function redSqrt () { + assert(this.red, 'redSqrt works only with red numbers'); + this.red._verify1(this); + return this.red.sqrt(this); + }; + + BN.prototype.redInvm = function redInvm () { + assert(this.red, 'redInvm works only with red numbers'); + this.red._verify1(this); + return this.red.invm(this); + }; + + // Return negative clone of `this` % `red modulo` + BN.prototype.redNeg = function redNeg () { + assert(this.red, 'redNeg works only with red numbers'); + this.red._verify1(this); + return this.red.neg(this); + }; + + BN.prototype.redPow = function redPow (num) { + assert(this.red && !num.red, 'redPow(normalNum)'); + this.red._verify1(this); + return this.red.pow(this, num); + }; + + // Prime numbers with efficient reduction + var primes = { + k256: null, + p224: null, + p192: null, + p25519: null + }; + + // Pseudo-Mersenne prime + function MPrime (name, p) { + // P = 2 ^ N - K + this.name = name; + this.p = new BN(p, 16); + this.n = this.p.bitLength(); + this.k = new BN(1).iushln(this.n).isub(this.p); + + this.tmp = this._tmp(); + } + + MPrime.prototype._tmp = function _tmp () { + var tmp = new BN(null); + tmp.words = new Array(Math.ceil(this.n / 13)); + return tmp; + }; + + MPrime.prototype.ireduce = function ireduce (num) { + // Assumes that `num` is less than `P^2` + // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P) + var r = num; + var rlen; + + do { + this.split(r, this.tmp); + r = this.imulK(r); + r = r.iadd(this.tmp); + rlen = r.bitLength(); + } while (rlen > this.n); + + var cmp = rlen < this.n ? -1 : r.ucmp(this.p); + if (cmp === 0) { + r.words[0] = 0; + r.length = 1; + } else if (cmp > 0) { + r.isub(this.p); + } else { + r.strip(); + } + + return r; + }; + + MPrime.prototype.split = function split (input, out) { + input.iushrn(this.n, 0, out); + }; + + MPrime.prototype.imulK = function imulK (num) { + return num.imul(this.k); + }; + + function K256 () { + MPrime.call( + this, + 'k256', + 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f'); + } + inherits(K256, MPrime); + + K256.prototype.split = function split (input, output) { + // 256 = 9 * 26 + 22 + var mask = 0x3fffff; + + var outLen = Math.min(input.length, 9); + for (var i = 0; i < outLen; i++) { + output.words[i] = input.words[i]; + } + output.length = outLen; + + if (input.length <= 9) { + input.words[0] = 0; + input.length = 1; + return; + } + + // Shift by 9 limbs + var prev = input.words[9]; + output.words[output.length++] = prev & mask; + + for (i = 10; i < input.length; i++) { + var next = input.words[i] | 0; + input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22); + prev = next; + } + prev >>>= 22; + input.words[i - 10] = prev; + if (prev === 0 && input.length > 10) { + input.length -= 10; + } else { + input.length -= 9; + } + }; + + K256.prototype.imulK = function imulK (num) { + // K = 0x1000003d1 = [ 0x40, 0x3d1 ] + num.words[num.length] = 0; + num.words[num.length + 1] = 0; + num.length += 2; + + // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390 + var lo = 0; + for (var i = 0; i < num.length; i++) { + var w = num.words[i] | 0; + lo += w * 0x3d1; + num.words[i] = lo & 0x3ffffff; + lo = w * 0x40 + ((lo / 0x4000000) | 0); + } + + // Fast length reduction + if (num.words[num.length - 1] === 0) { + num.length--; + if (num.words[num.length - 1] === 0) { + num.length--; + } + } + return num; + }; + + function P224 () { + MPrime.call( + this, + 'p224', + 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001'); + } + inherits(P224, MPrime); + + function P192 () { + MPrime.call( + this, + 'p192', + 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff'); + } + inherits(P192, MPrime); + + function P25519 () { + // 2 ^ 255 - 19 + MPrime.call( + this, + '25519', + '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed'); + } + inherits(P25519, MPrime); + + P25519.prototype.imulK = function imulK (num) { + // K = 0x13 + var carry = 0; + for (var i = 0; i < num.length; i++) { + var hi = (num.words[i] | 0) * 0x13 + carry; + var lo = hi & 0x3ffffff; + hi >>>= 26; + + num.words[i] = lo; + carry = hi; + } + if (carry !== 0) { + num.words[num.length++] = carry; + } + return num; + }; + + // Exported mostly for testing purposes, use plain name instead + BN._prime = function prime (name) { + // Cached version of prime + if (primes[name]) return primes[name]; + + var prime; + if (name === 'k256') { + prime = new K256(); + } else if (name === 'p224') { + prime = new P224(); + } else if (name === 'p192') { + prime = new P192(); + } else if (name === 'p25519') { + prime = new P25519(); + } else { + throw new Error('Unknown prime ' + name); + } + primes[name] = prime; + + return prime; + }; + + // + // Base reduction engine + // + function Red (m) { + if (typeof m === 'string') { + var prime = BN._prime(m); + this.m = prime.p; + this.prime = prime; + } else { + assert(m.gtn(1), 'modulus must be greater than 1'); + this.m = m; + this.prime = null; + } + } + + Red.prototype._verify1 = function _verify1 (a) { + assert(a.negative === 0, 'red works only with positives'); + assert(a.red, 'red works only with red numbers'); + }; + + Red.prototype._verify2 = function _verify2 (a, b) { + assert((a.negative | b.negative) === 0, 'red works only with positives'); + assert(a.red && a.red === b.red, + 'red works only with red numbers'); + }; + + Red.prototype.imod = function imod (a) { + if (this.prime) return this.prime.ireduce(a)._forceRed(this); + return a.umod(this.m)._forceRed(this); + }; + + Red.prototype.neg = function neg (a) { + if (a.isZero()) { + return a.clone(); + } + + return this.m.sub(a)._forceRed(this); + }; + + Red.prototype.add = function add (a, b) { + this._verify2(a, b); + + var res = a.add(b); + if (res.cmp(this.m) >= 0) { + res.isub(this.m); + } + return res._forceRed(this); + }; + + Red.prototype.iadd = function iadd (a, b) { + this._verify2(a, b); + + var res = a.iadd(b); + if (res.cmp(this.m) >= 0) { + res.isub(this.m); + } + return res; + }; + + Red.prototype.sub = function sub (a, b) { + this._verify2(a, b); + + var res = a.sub(b); + if (res.cmpn(0) < 0) { + res.iadd(this.m); + } + return res._forceRed(this); + }; + + Red.prototype.isub = function isub (a, b) { + this._verify2(a, b); + + var res = a.isub(b); + if (res.cmpn(0) < 0) { + res.iadd(this.m); + } + return res; + }; + + Red.prototype.shl = function shl (a, num) { + this._verify1(a); + return this.imod(a.ushln(num)); + }; + + Red.prototype.imul = function imul (a, b) { + this._verify2(a, b); + return this.imod(a.imul(b)); + }; + + Red.prototype.mul = function mul (a, b) { + this._verify2(a, b); + return this.imod(a.mul(b)); + }; + + Red.prototype.isqr = function isqr (a) { + return this.imul(a, a.clone()); + }; + + Red.prototype.sqr = function sqr (a) { + return this.mul(a, a); + }; + + Red.prototype.sqrt = function sqrt (a) { + if (a.isZero()) return a.clone(); + + var mod3 = this.m.andln(3); + assert(mod3 % 2 === 1); + + // Fast case + if (mod3 === 3) { + var pow = this.m.add(new BN(1)).iushrn(2); + return this.pow(a, pow); + } + + // Tonelli-Shanks algorithm (Totally unoptimized and slow) + // + // Find Q and S, that Q * 2 ^ S = (P - 1) + var q = this.m.subn(1); + var s = 0; + while (!q.isZero() && q.andln(1) === 0) { + s++; + q.iushrn(1); + } + assert(!q.isZero()); + + var one = new BN(1).toRed(this); + var nOne = one.redNeg(); + + // Find quadratic non-residue + // NOTE: Max is such because of generalized Riemann hypothesis. + var lpow = this.m.subn(1).iushrn(1); + var z = this.m.bitLength(); + z = new BN(2 * z * z).toRed(this); + + while (this.pow(z, lpow).cmp(nOne) !== 0) { + z.redIAdd(nOne); + } + + var c = this.pow(z, q); + var r = this.pow(a, q.addn(1).iushrn(1)); + var t = this.pow(a, q); + var m = s; + while (t.cmp(one) !== 0) { + var tmp = t; + for (var i = 0; tmp.cmp(one) !== 0; i++) { + tmp = tmp.redSqr(); + } + assert(i < m); + var b = this.pow(c, new BN(1).iushln(m - i - 1)); + + r = r.redMul(b); + c = b.redSqr(); + t = t.redMul(c); + m = i; + } + + return r; + }; + + Red.prototype.invm = function invm (a) { + var inv = a._invmp(this.m); + if (inv.negative !== 0) { + inv.negative = 0; + return this.imod(inv).redNeg(); + } else { + return this.imod(inv); + } + }; + + Red.prototype.pow = function pow (a, num) { + if (num.isZero()) return new BN(1).toRed(this); + if (num.cmpn(1) === 0) return a.clone(); + + var windowSize = 4; + var wnd = new Array(1 << windowSize); + wnd[0] = new BN(1).toRed(this); + wnd[1] = a; + for (var i = 2; i < wnd.length; i++) { + wnd[i] = this.mul(wnd[i - 1], a); + } + + var res = wnd[0]; + var current = 0; + var currentLen = 0; + var start = num.bitLength() % 26; + if (start === 0) { + start = 26; + } + + for (i = num.length - 1; i >= 0; i--) { + var word = num.words[i]; + for (var j = start - 1; j >= 0; j--) { + var bit = (word >> j) & 1; + if (res !== wnd[0]) { + res = this.sqr(res); + } + + if (bit === 0 && current === 0) { + currentLen = 0; + continue; + } + + current <<= 1; + current |= bit; + currentLen++; + if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue; + + res = this.mul(res, wnd[current]); + currentLen = 0; + current = 0; + } + start = 26; + } + + return res; + }; + + Red.prototype.convertTo = function convertTo (num) { + var r = num.umod(this.m); + + return r === num ? r.clone() : r; + }; + + Red.prototype.convertFrom = function convertFrom (num) { + var res = num.clone(); + res.red = null; + return res; + }; + + // + // Montgomery method engine + // + + BN.mont = function mont (num) { + return new Mont(num); + }; + + function Mont (m) { + Red.call(this, m); + + this.shift = this.m.bitLength(); + if (this.shift % 26 !== 0) { + this.shift += 26 - (this.shift % 26); + } + + this.r = new BN(1).iushln(this.shift); + this.r2 = this.imod(this.r.sqr()); + this.rinv = this.r._invmp(this.m); + + this.minv = this.rinv.mul(this.r).isubn(1).div(this.m); + this.minv = this.minv.umod(this.r); + this.minv = this.r.sub(this.minv); + } + inherits(Mont, Red); + + Mont.prototype.convertTo = function convertTo (num) { + return this.imod(num.ushln(this.shift)); + }; + + Mont.prototype.convertFrom = function convertFrom (num) { + var r = this.imod(num.mul(this.rinv)); + r.red = null; + return r; + }; + + Mont.prototype.imul = function imul (a, b) { + if (a.isZero() || b.isZero()) { + a.words[0] = 0; + a.length = 1; + return a; + } + + var t = a.imul(b); + var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m); + var u = t.isub(c).iushrn(this.shift); + var res = u; + + if (u.cmp(this.m) >= 0) { + res = u.isub(this.m); + } else if (u.cmpn(0) < 0) { + res = u.iadd(this.m); + } + + return res._forceRed(this); + }; + + Mont.prototype.mul = function mul (a, b) { + if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this); + + var t = a.mul(b); + var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m); + var u = t.isub(c).iushrn(this.shift); + var res = u; + if (u.cmp(this.m) >= 0) { + res = u.isub(this.m); + } else if (u.cmpn(0) < 0) { + res = u.iadd(this.m); + } + + return res._forceRed(this); + }; + + Mont.prototype.invm = function invm (a) { + // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R + var res = this.imod(a._invmp(this.m).mul(this.r2)); + return res._forceRed(this); + }; +})(typeof module === 'undefined' || module, this); diff --git a/node_modules/bn.js/package.json b/node_modules/bn.js/package.json new file mode 100644 index 0000000..856ee04 --- /dev/null +++ b/node_modules/bn.js/package.json @@ -0,0 +1,67 @@ +{ + "_args": [ + [ + "bn.js@4.11.8", + "X:\\dev\\neard\\www\\github\\ghaction\\ghaction-import-gpg" + ] + ], + "_from": "bn.js@4.11.8", + "_id": "bn.js@4.11.8", + "_inBundle": false, + "_integrity": "sha512-ItfYfPLkWHUjckQCk8xC+LwxgK8NYcXywGigJgSwOP8Y2iyWT4f2vsZnoOXTTbo+o5yXmIUJ4gn5538SO5S3gA==", + "_location": "/bn.js", + "_phantomChildren": {}, + "_requested": { + "type": "version", + "registry": true, + "raw": "bn.js@4.11.8", + "name": "bn.js", + "escapedName": "bn.js", + "rawSpec": "4.11.8", + "saveSpec": null, + "fetchSpec": "4.11.8" + }, + "_requiredBy": [ + "/asn1.js" + ], + "_resolved": "https://registry.npmjs.org/bn.js/-/bn.js-4.11.8.tgz", + "_spec": "4.11.8", + "_where": "X:\\dev\\neard\\www\\github\\ghaction\\ghaction-import-gpg", + "author": { + "name": "Fedor Indutny", + "email": "fedor@indutny.com" + }, + "browser": { + "buffer": false + }, + "bugs": { + "url": "https://github.com/indutny/bn.js/issues" + }, + "description": "Big number implementation in pure javascript", + "devDependencies": { + "istanbul": "^0.3.5", + "mocha": "^2.1.0", + "semistandard": "^7.0.4" + }, + "homepage": "https://github.com/indutny/bn.js", + "keywords": [ + "BN", + "BigNum", + "Big number", + "Modulo", + "Montgomery" + ], + "license": "MIT", + "main": "lib/bn.js", + "name": "bn.js", + "repository": { + "type": "git", + "url": "git+ssh://git@github.com/indutny/bn.js.git" + }, + "scripts": { + "lint": "semistandard", + "test": "npm run lint && npm run unit", + "unit": "mocha --reporter=spec test/*-test.js" + }, + "version": "4.11.8" +} diff --git a/node_modules/bn.js/util/genCombMulTo.js b/node_modules/bn.js/util/genCombMulTo.js new file mode 100644 index 0000000..8b456c7 --- /dev/null +++ b/node_modules/bn.js/util/genCombMulTo.js @@ -0,0 +1,65 @@ +'use strict'; + +// NOTE: This could be potentionally used to generate loop-less multiplications +function genCombMulTo (alen, blen) { + var len = alen + blen - 1; + var src = [ + 'var a = self.words;', + 'var b = num.words;', + 'var o = out.words;', + 'var c = 0;', + 'var lo;', + 'var mid;', + 'var hi;' + ]; + for (var i = 0; i < alen; i++) { + src.push('var a' + i + ' = a[' + i + '] | 0;'); + src.push('var al' + i + ' = a' + i + ' & 0x1fff;'); + src.push('var ah' + i + ' = a' + i + ' >>> 13;'); + } + for (i = 0; i < blen; i++) { + src.push('var b' + i + ' = b[' + i + '] | 0;'); + src.push('var bl' + i + ' = b' + i + ' & 0x1fff;'); + src.push('var bh' + i + ' = b' + i + ' >>> 13;'); + } + src.push(''); + src.push('out.negative = self.negative ^ num.negative;'); + src.push('out.length = ' + len + ';'); + + for (var k = 0; k < len; k++) { + var minJ = Math.max(0, k - alen + 1); + var maxJ = Math.min(k, blen - 1); + + src.push('\/* k = ' + k + ' *\/'); + src.push('var w' + k + ' = c;'); + src.push('c = 0;'); + for (var j = minJ; j <= maxJ; j++) { + i = k - j; + + src.push('lo = Math.imul(al' + i + ', bl' + j + ');'); + src.push('mid = Math.imul(al' + i + ', bh' + j + ');'); + src.push('mid = (mid + Math.imul(ah' + i + ', bl' + j + ')) | 0;'); + src.push('hi = Math.imul(ah' + i + ', bh' + j + ');'); + + src.push('w' + k + ' = (w' + k + ' + lo) | 0;'); + src.push('w' + k + ' = (w' + k + ' + ((mid & 0x1fff) << 13)) | 0;'); + src.push('c = (c + hi) | 0;'); + src.push('c = (c + (mid >>> 13)) | 0;'); + src.push('c = (c + (w' + k + ' >>> 26)) | 0;'); + src.push('w' + k + ' &= 0x3ffffff;'); + } + } + // Store in separate step for better memory access + for (k = 0; k < len; k++) { + src.push('o[' + k + '] = w' + k + ';'); + } + src.push('if (c !== 0) {', + ' o[' + k + '] = c;', + ' out.length++;', + '}', + 'return out;'); + + return src.join('\n'); +} + +console.log(genCombMulTo(10, 10)); diff --git a/node_modules/bn.js/util/genCombMulTo10.js b/node_modules/bn.js/util/genCombMulTo10.js new file mode 100644 index 0000000..cf2e6e8 --- /dev/null +++ b/node_modules/bn.js/util/genCombMulTo10.js @@ -0,0 +1,65 @@ +'use strict'; + +function genCombMulTo (alen, blen) { + var len = alen + blen - 1; + var src = [ + 'var a = self.words;', + 'var b = num.words;', + 'var o = out.words;', + 'var c = 0;', + 'var lo;', + 'var mid;', + 'var hi;' + ]; + for (var i = 0; i < alen; i++) { + src.push('var a' + i + ' = a[' + i + '] | 0;'); + src.push('var al' + i + ' = a' + i + ' & 0x1fff;'); + src.push('var ah' + i + ' = a' + i + ' >>> 13;'); + } + for (i = 0; i < blen; i++) { + src.push('var b' + i + ' = b[' + i + '] | 0;'); + src.push('var bl' + i + ' = b' + i + ' & 0x1fff;'); + src.push('var bh' + i + ' = b' + i + ' >>> 13;'); + } + src.push(''); + src.push('out.negative = self.negative ^ num.negative;'); + src.push('out.length = ' + len + ';'); + + for (var k = 0; k < len; k++) { + var minJ = Math.max(0, k - alen + 1); + var maxJ = Math.min(k, blen - 1); + + src.push('\/* k = ' + k + ' *\/'); + src.push('lo = Math.imul(al' + (k - minJ) + ', bl' + minJ + ');'); + src.push('mid = Math.imul(al' + (k - minJ) + ', bh' + minJ + ');'); + src.push( + 'mid = (mid + Math.imul(ah' + (k - minJ) + ', bl' + minJ + ')) | 0;'); + src.push('hi = Math.imul(ah' + (k - minJ) + ', bh' + minJ + ');'); + + for (var j = minJ + 1; j <= maxJ; j++) { + i = k - j; + + src.push('lo = (lo + Math.imul(al' + i + ', bl' + j + ')) | 0;'); + src.push('mid = (mid + Math.imul(al' + i + ', bh' + j + ')) | 0;'); + src.push('mid = (mid + Math.imul(ah' + i + ', bl' + j + ')) | 0;'); + src.push('hi = (hi + Math.imul(ah' + i + ', bh' + j + ')) | 0;'); + } + + src.push('var w' + k + ' = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;'); + src.push('c = (((hi + (mid >>> 13)) | 0) + (w' + k + ' >>> 26)) | 0;'); + src.push('w' + k + ' &= 0x3ffffff;'); + } + // Store in separate step for better memory access + for (k = 0; k < len; k++) { + src.push('o[' + k + '] = w' + k + ';'); + } + src.push('if (c !== 0) {', + ' o[' + k + '] = c;', + ' out.length++;', + '}', + 'return out;'); + + return src.join('\n'); +} + +console.log(genCombMulTo(10, 10));