[tor-commits] [tor-messenger-build/master] Add a patch for trac 20205

commit d6d79dd5bb385ff0c6e58a172f3e1d749e48dae8 Author: Arlo Breault arlolra@gmail.com Date: Tue Oct 18 21:43:14 2016 -0700

Add a patch for trac 20205

* Support SASL ECDSA-NIST256P-CHALLENGE, one of the options for authenticating with freenode's onion.

* This was the result of the hack days at this year's meeting in Seattle. It's considered experimental, but I've been using it successfully for the past few weeks. --- .../0001-Set-Tor-Messenger-preferences.patch | 2 +- ...0002-Trac-16489-Prevent-account-autologin.patch | 2 +- ...Support-Special-Characters-input-prompt-o.patch | 2 +- ...Better-error-reporting-for-failed-outgoin.patch | 2 +- .../0005-Trac-13312-OTR-over-Twitter-DMs.patch | 2 +- ...-Fix-tab-strip-background-colour-on-OS-X..patch | 2 +- ...-XMPP-createConversation-should-handle-in.patch | 2 +- ...-Set-_userVCard-own-property-when-downloa.patch | 2 +- .../0009-XMPP-in-band-registration.patch | 2 +- .../instantbird/0010-Remove-search-from-UI.patch | 2 +- .../0011-Add-Tor-Messenger-branding.patch | 2 +- projects/instantbird/0012-Account-picture.patch | 2 +- .../0013-Modify-protocol-defaults.patch | 2 +- .../instantbird/0014-Modify-IRC-defaults.patch | 2 +- projects/instantbird/0015-Modify-themes.patch | 2 +- .../instantbird/0016-Modify-XMPP-defaults.patch | 2 +- projects/instantbird/0017-Remove-logging-UI.patch | 2 +- projects/instantbird/0018-Cert-override.patch | 2 +- .../0019-Display-all-traffic-over-Tor.patch | 2 +- .../instantbird/0020-Trac-17480-Content-sink.patch | 2 +- .../0021-SASL-ECDSA-NIST256P-CHALLENGE.patch | 8919 ++++++++++++++++++++ projects/instantbird/config | 1 + 22 files changed, 8940 insertions(+), 20 deletions(-)

diff --git a/projects/instantbird/0001-Set-Tor-Messenger-preferences.patch b/projects/instantbird/0001-Set-Tor-Messenger-preferences.patch index be19543..cb2ac47 100644 --- a/projects/instantbird/0001-Set-Tor-Messenger-preferences.patch +++ b/projects/instantbird/0001-Set-Tor-Messenger-preferences.patch @@ -1,7 +1,7 @@ From bfa4576ff8e6291a0cd293e05ac48b2a91c6a3c1 Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:48:41 -0700 -Subject: [PATCH 01/20] Set Tor Messenger preferences +Subject: [PATCH 01/21] Set Tor Messenger preferences

--- im/app/profile/all-instantbird.js | 110 +++++++++++++++++++++++++++++++------- diff --git a/projects/instantbird/0002-Trac-16489-Prevent-account-autologin.patch b/projects/instantbird/0002-Trac-16489-Prevent-account-autologin.patch index 2ef8307..df7e4c5 100644 --- a/projects/instantbird/0002-Trac-16489-Prevent-account-autologin.patch +++ b/projects/instantbird/0002-Trac-16489-Prevent-account-autologin.patch @@ -1,7 +1,7 @@ From 2f9785b7fb8fba1dae99f914a7500bac41d4a17b Mon Sep 17 00:00:00 2001 From: Arlo Breault arlolra@gmail.com Date: Mon, 16 Nov 2015 20:37:53 -0800 -Subject: [PATCH 02/20] Trac 16489: Prevent account autologin +Subject: [PATCH 02/21] Trac 16489: Prevent account autologin

--- chat/components/src/imAccounts.js | 2 +- diff --git a/projects/instantbird/0003-Trac-17896-Support-Special-Characters-input-prompt-o.patch b/projects/instantbird/0003-Trac-17896-Support-Special-Characters-input-prompt-o.patch index 100def4..c801890 100644 --- a/projects/instantbird/0003-Trac-17896-Support-Special-Characters-input-prompt-o.patch +++ b/projects/instantbird/0003-Trac-17896-Support-Special-Characters-input-prompt-o.patch @@ -1,7 +1,7 @@ From fa84f77e4b3c3091aec5a479f862aa8cdb12de6a Mon Sep 17 00:00:00 2001 From: aleth aleth@instantbird.org Date: Sat, 30 Jan 2016 20:56:38 +0100 -Subject: [PATCH 03/20] Trac 17896: Support "Special Characters" input prompt +Subject: [PATCH 03/21] Trac 17896: Support "Special Characters" input prompt on OS X

* Bug 1151784 - Add Edit menu to the conversation window on OS X. r=nhnt11,florian diff --git a/projects/instantbird/0004-Trac-17494-Better-error-reporting-for-failed-outgoin.patch b/projects/instantbird/0004-Trac-17494-Better-error-reporting-for-failed-outgoin.patch index 2a4797c..1623b06 100644 --- a/projects/instantbird/0004-Trac-17494-Better-error-reporting-for-failed-outgoin.patch +++ b/projects/instantbird/0004-Trac-17494-Better-error-reporting-for-failed-outgoin.patch @@ -1,7 +1,7 @@ From 7fcda7da8eee17eccae8e25a7a24f0b7127fc3af Mon Sep 17 00:00:00 2001 From: Arlo Breault arlolra@gmail.com Date: Tue, 2 Feb 2016 16:04:51 -0800 -Subject: [PATCH 04/20] Trac 17494: Better error reporting for failed outgoing +Subject: [PATCH 04/21] Trac 17494: Better error reporting for failed outgoing messages

* Bug 1245325 - Better error reporting for failed outgoing messages. r=clokep diff --git a/projects/instantbird/0005-Trac-13312-OTR-over-Twitter-DMs.patch b/projects/instantbird/0005-Trac-13312-OTR-over-Twitter-DMs.patch index 72cf05a..d324dc8 100644 --- a/projects/instantbird/0005-Trac-13312-OTR-over-Twitter-DMs.patch +++ b/projects/instantbird/0005-Trac-13312-OTR-over-Twitter-DMs.patch @@ -1,7 +1,7 @@ From 2a8dc4c8043aeae007b4e727c54137f4ae90f3dd Mon Sep 17 00:00:00 2001 From: Arlo Breault arlolra@gmail.com Date: Tue, 15 Mar 2016 17:40:42 -0700 -Subject: [PATCH 05/20] Trac 13312: OTR over Twitter DMs +Subject: [PATCH 05/21] Trac 13312: OTR over Twitter DMs

--- chat/components/src/imConversations.js | 4 +- diff --git a/projects/instantbird/0006-Bug-1218193-Fix-tab-strip-background-colour-on-OS-X..patch b/projects/instantbird/0006-Bug-1218193-Fix-tab-strip-background-colour-on-OS-X..patch index e70ebdf..d65aa4b 100644 --- a/projects/instantbird/0006-Bug-1218193-Fix-tab-strip-background-colour-on-OS-X..patch +++ b/projects/instantbird/0006-Bug-1218193-Fix-tab-strip-background-colour-on-OS-X..patch @@ -1,7 +1,7 @@ From 10e196e6c4e26d74baacba3e2b0f367a062b0287 Mon Sep 17 00:00:00 2001 From: Nihanth Subramanya nhnt11@gmail.com Date: Sun, 9 Oct 2016 21:53:04 -0700 -Subject: [PATCH 06/20] Bug 1218193 - Fix tab strip background colour on OS X. +Subject: [PATCH 06/21] Bug 1218193 - Fix tab strip background colour on OS X. r=aleth

--- diff --git a/projects/instantbird/0007-Bug-1246431-XMPP-createConversation-should-handle-in.patch b/projects/instantbird/0007-Bug-1246431-XMPP-createConversation-should-handle-in.patch index a2ee757..b58f6b8 100644 --- a/projects/instantbird/0007-Bug-1246431-XMPP-createConversation-should-handle-in.patch +++ b/projects/instantbird/0007-Bug-1246431-XMPP-createConversation-should-handle-in.patch @@ -1,7 +1,7 @@ From ecee8301b2187ea25e582d15e3d02bec5d29078e Mon Sep 17 00:00:00 2001 From: Arlo Breault arlolra@gmail.com Date: Sun, 9 Oct 2016 21:57:07 -0700 -Subject: [PATCH 07/20] Bug 1246431 - XMPP createConversation should handle +Subject: [PATCH 07/21] Bug 1246431 - XMPP createConversation should handle incoming messages from the server properly. r=aleth

--- diff --git a/projects/instantbird/0008-Bug-1298574-Set-_userVCard-own-property-when-downloa.patch b/projects/instantbird/0008-Bug-1298574-Set-_userVCard-own-property-when-downloa.patch index 0ecfe1a..2a3790f 100644 --- a/projects/instantbird/0008-Bug-1298574-Set-_userVCard-own-property-when-downloa.patch +++ b/projects/instantbird/0008-Bug-1298574-Set-_userVCard-own-property-when-downloa.patch @@ -1,7 +1,7 @@ From 899378439d41d0ee36cba761edf43e4329cd9c07 Mon Sep 17 00:00:00 2001 From: Arlo Breault arlolra@gmail.com Date: Sun, 28 Aug 2016 08:57:41 -0700 -Subject: [PATCH 08/20] Bug 1298574 - Set _userVCard own property when +Subject: [PATCH 08/21] Bug 1298574 - Set _userVCard own property when downloading vCard fails. r=aleth

* This prevents an infinite req / res cycle. diff --git a/projects/instantbird/0009-XMPP-in-band-registration.patch b/projects/instantbird/0009-XMPP-in-band-registration.patch index 00d9a74..59f595c 100644 --- a/projects/instantbird/0009-XMPP-in-band-registration.patch +++ b/projects/instantbird/0009-XMPP-in-band-registration.patch @@ -1,7 +1,7 @@ From 1e0665d52f89f61af5dd07fc1d0c31dd90c0a483 Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 18:42:25 -0700 -Subject: [PATCH 09/20] XMPP in-band registration +Subject: [PATCH 09/21] XMPP in-band registration

--- chat/locales/en-US/xmpp.properties | 5 + diff --git a/projects/instantbird/0010-Remove-search-from-UI.patch b/projects/instantbird/0010-Remove-search-from-UI.patch index 440fd3f..d50e0d0 100644 --- a/projects/instantbird/0010-Remove-search-from-UI.patch +++ b/projects/instantbird/0010-Remove-search-from-UI.patch @@ -1,7 +1,7 @@ From a9aa4108eceba8f5d4472b27ba7f0f3223d535bc Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 18:47:48 -0700 -Subject: [PATCH 10/20] Remove search from UI +Subject: [PATCH 10/21] Remove search from UI

--- im/content/nsContextMenu.js | 18 +----------------- diff --git a/projects/instantbird/0011-Add-Tor-Messenger-branding.patch b/projects/instantbird/0011-Add-Tor-Messenger-branding.patch index af71f34..5d4b615 100644 --- a/projects/instantbird/0011-Add-Tor-Messenger-branding.patch +++ b/projects/instantbird/0011-Add-Tor-Messenger-branding.patch @@ -1,7 +1,7 @@ From ce1cba5c29e974399693c6b3dbd02b372a8a6ab3 Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 18:56:27 -0700 -Subject: [PATCH 11/20] Add Tor Messenger branding +Subject: [PATCH 11/21] Add Tor Messenger branding

--- im/app/macbuild/Contents/Info.plist.in | 2 +- diff --git a/projects/instantbird/0012-Account-picture.patch b/projects/instantbird/0012-Account-picture.patch index b6ecc4d..6529c84 100644 --- a/projects/instantbird/0012-Account-picture.patch +++ b/projects/instantbird/0012-Account-picture.patch @@ -1,7 +1,7 @@ From a40ca36edcb6b2be8ed958e39479998a8fe4fbc3 Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:24:09 -0700 -Subject: [PATCH 12/20] Account picture +Subject: [PATCH 12/21] Account picture

--- im/content/blist.xul | 3 +-- diff --git a/projects/instantbird/0013-Modify-protocol-defaults.patch b/projects/instantbird/0013-Modify-protocol-defaults.patch index 98f7bee..7a51c3a 100644 --- a/projects/instantbird/0013-Modify-protocol-defaults.patch +++ b/projects/instantbird/0013-Modify-protocol-defaults.patch @@ -1,7 +1,7 @@ From 82b8069f3b5eef5d6ed8a87e8b122e2b0eae3a76 Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:25:34 -0700 -Subject: [PATCH 13/20] Modify protocol defaults +Subject: [PATCH 13/21] Modify protocol defaults

* Top protocols

diff --git a/projects/instantbird/0014-Modify-IRC-defaults.patch b/projects/instantbird/0014-Modify-IRC-defaults.patch index 2d6f979..a85bdc7 100644 --- a/projects/instantbird/0014-Modify-IRC-defaults.patch +++ b/projects/instantbird/0014-Modify-IRC-defaults.patch @@ -1,7 +1,7 @@ From 14b1768d06adce5dd85dd56ea4c89984d420c36e Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:31:58 -0700 -Subject: [PATCH 14/20] Modify IRC defaults +Subject: [PATCH 14/21] Modify IRC defaults

* ctcp ping

diff --git a/projects/instantbird/0015-Modify-themes.patch b/projects/instantbird/0015-Modify-themes.patch index 588f36e..6747420 100644 --- a/projects/instantbird/0015-Modify-themes.patch +++ b/projects/instantbird/0015-Modify-themes.patch @@ -1,7 +1,7 @@ From 8f6fad682f3fc785e324faf086e5248b54e50f2e Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:36:38 -0700 -Subject: [PATCH 15/20] Modify themes +Subject: [PATCH 15/21] Modify themes

* theme extension updateh

diff --git a/projects/instantbird/0016-Modify-XMPP-defaults.patch b/projects/instantbird/0016-Modify-XMPP-defaults.patch index b85fff7..c31d92d 100644 --- a/projects/instantbird/0016-Modify-XMPP-defaults.patch +++ b/projects/instantbird/0016-Modify-XMPP-defaults.patch @@ -1,7 +1,7 @@ From 7002186f102f329431ad1f1afce87af75f7a4570 Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:38:49 -0700 -Subject: [PATCH 16/20] Modify XMPP defaults +Subject: [PATCH 16/21] Modify XMPP defaults

* xmpp-default-domain

diff --git a/projects/instantbird/0017-Remove-logging-UI.patch b/projects/instantbird/0017-Remove-logging-UI.patch index ba010bb..f6cc574 100644 --- a/projects/instantbird/0017-Remove-logging-UI.patch +++ b/projects/instantbird/0017-Remove-logging-UI.patch @@ -1,7 +1,7 @@ From af2bff6a7f15123c567b4c911b5842423fee0514 Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:50:48 -0700 -Subject: [PATCH 17/20] Remove logging UI +Subject: [PATCH 17/21] Remove logging UI

--- im/content/preferences/privacy.xul | 20 -------------------- diff --git a/projects/instantbird/0018-Cert-override.patch b/projects/instantbird/0018-Cert-override.patch index 7d19cf6..2ffbb29 100644 --- a/projects/instantbird/0018-Cert-override.patch +++ b/projects/instantbird/0018-Cert-override.patch @@ -1,7 +1,7 @@ From da09cc5555865e5f86a4627d9ad1fd9de4dd392b Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:56:46 -0700 -Subject: [PATCH 18/20] Cert override +Subject: [PATCH 18/21] Cert override

--- im/app/profile/cert_override.txt | 3 +++ diff --git a/projects/instantbird/0019-Display-all-traffic-over-Tor.patch b/projects/instantbird/0019-Display-all-traffic-over-Tor.patch index b8e5d79..8d08a6d 100644 --- a/projects/instantbird/0019-Display-all-traffic-over-Tor.patch +++ b/projects/instantbird/0019-Display-all-traffic-over-Tor.patch @@ -1,7 +1,7 @@ From b4e33411b5743601307009ce6e31235fccb57ba3 Mon Sep 17 00:00:00 2001 From: Sukhbir Singh sukhbir@torproject.org Date: Mon, 10 Oct 2016 19:58:31 -0700 -Subject: [PATCH 19/20] Display all traffic over Tor +Subject: [PATCH 19/21] Display all traffic over Tor

--- im/content/accountWizard.xul | 2 ++ diff --git a/projects/instantbird/0020-Trac-17480-Content-sink.patch b/projects/instantbird/0020-Trac-17480-Content-sink.patch index fc34c67..619ce7d 100644 --- a/projects/instantbird/0020-Trac-17480-Content-sink.patch +++ b/projects/instantbird/0020-Trac-17480-Content-sink.patch @@ -1,7 +1,7 @@ From 2194d4caace6d18b2a33a57df3618019b9bc77d8 Mon Sep 17 00:00:00 2001 From: Arlo Breault arlolra@gmail.com Date: Wed, 5 Oct 2016 11:09:25 -0700 -Subject: [PATCH 20/20] Trac 17480: Content sink +Subject: [PATCH 20/21] Trac 17480: Content sink

--- chat/modules/imContentSink.jsm | 30 +++++------------------------- diff --git a/projects/instantbird/0021-SASL-ECDSA-NIST256P-CHALLENGE.patch b/projects/instantbird/0021-SASL-ECDSA-NIST256P-CHALLENGE.patch new file mode 100644 index 0000000..f50551b --- /dev/null +++ b/projects/instantbird/0021-SASL-ECDSA-NIST256P-CHALLENGE.patch @@ -0,0 +1,8919 @@ +From afec16433c83df4452b6b362032cd624f7f5541d Mon Sep 17 00:00:00 2001 +From: Arlo Breault arlolra@gmail.com +Date: Sun, 2 Oct 2016 08:46:55 -0700 +Subject: [PATCH 21/21] SASL ECDSA-NIST256P-CHALLENGE + +--- + chat/components/src/imAccounts.js | 1 + + chat/protocols/irc/elliptic.jsm | 8748 +++++++++++++++++++++++++++++++++++++ + chat/protocols/irc/ircSASL.jsm | 87 +- + chat/protocols/irc/moz.build | 1 + + 4 files changed, 8823 insertions(+), 14 deletions(-) + create mode 100644 chat/protocols/irc/elliptic.jsm + +diff --git a/chat/components/src/imAccounts.js b/chat/components/src/imAccounts.js +index 5bfea57..da8525f 100644 +--- a/chat/components/src/imAccounts.js ++++ b/chat/components/src/imAccounts.js +@@ -193,6 +193,7 @@ function imAccount(aKey, aName, aPrplId) + + imAccount.prototype = { + __proto__: ClassInfo(["imIAccount", "prplIAccount"], "im account object"), ++ get wrappedJSObject() { return this; }, + + name: "", + id: "", +diff --git a/chat/protocols/irc/elliptic.jsm b/chat/protocols/irc/elliptic.jsm +new file mode 100644 +index 0000000..bccab01 +--- /dev/null ++++ b/chat/protocols/irc/elliptic.jsm +@@ -0,0 +1,8748 @@ ++/* This software is licensed under the MIT License. ++ * ++ * Copyright Fedor Indutny, 2014. ++ * ++ * 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. ++ */ ++ ++this.EXPORTED_SYMBOLS = ["elliptic"]; ++ ++var window = {}; ++ ++// The code below is imported from indutny's elliptic.js. The original version ++// of this file can be found at ++// https://github.com/indutny/elliptic/blob/master/dist/elliptic.js ++ ++(function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.elliptic = f()}})(function(){var define,module,exports;return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){ ++(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('buf' + 'fer').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 ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>'; ++ }; ++ ++ /* ++ ++ 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); ++ 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); ++ ++},{}],2:[function(require,module,exports){ ++'use strict'; ++ ++var elliptic = exports; ++ ++elliptic.version = require('../package.json').version; ++elliptic.utils = require('./elliptic/utils'); ++elliptic.rand = require('brorand'); ++elliptic.hmacDRBG = require('./elliptic/hmac-drbg'); ++elliptic.curve = require('./elliptic/curve'); ++elliptic.curves = require('./elliptic/curves'); ++ ++// Protocols ++elliptic.ec = require('./elliptic/ec'); ++elliptic.eddsa = require('./elliptic/eddsa'); ++ ++},{"../package.json":26,"./elliptic/curve":5,"./elliptic/curves":8,"./elliptic/ec":9,"./elliptic/eddsa":12,"./elliptic/hmac-drbg":15,"./elliptic/utils":17,"brorand":18}],3:[function(require,module,exports){ ++'use strict'; ++ ++var BN = require('bn.js'); ++var elliptic = require('../../elliptic'); ++var utils = elliptic.utils; ++var getNAF = utils.getNAF; ++var getJSF = utils.getJSF; ++var assert = utils.assert; ++ ++function BaseCurve(type, conf) { ++ this.type = type; ++ this.p = new BN(conf.p, 16); ++ ++ // Use Montgomery, when there is no fast reduction for the prime ++ this.red = conf.prime ? BN.red(conf.prime) : BN.mont(this.p); ++ ++ // Useful for many curves ++ this.zero = new BN(0).toRed(this.red); ++ this.one = new BN(1).toRed(this.red); ++ this.two = new BN(2).toRed(this.red); ++ ++ // Curve configuration, optional ++ this.n = conf.n && new BN(conf.n, 16); ++ this.g = conf.g && this.pointFromJSON(conf.g, conf.gRed); ++ ++ // Temporary arrays ++ this._wnafT1 = new Array(4); ++ this._wnafT2 = new Array(4); ++ this._wnafT3 = new Array(4); ++ this._wnafT4 = new Array(4); ++ ++ // Generalized Greg Maxwell's trick ++ var adjustCount = this.n && this.p.div(this.n); ++ if (!adjustCount || adjustCount.cmpn(100) > 0) { ++ this.redN = null; ++ } else { ++ this._maxwellTrick = true; ++ this.redN = this.n.toRed(this.red); ++ } ++} ++module.exports = BaseCurve; ++ ++BaseCurve.prototype.point = function point() { ++ throw new Error('Not implemented'); ++}; ++ ++BaseCurve.prototype.validate = function validate() { ++ throw new Error('Not implemented'); ++}; ++ ++BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { ++ assert(p.precomputed); ++ var doubles = p._getDoubles(); ++ ++ var naf = getNAF(k, 1); ++ var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); ++ I /= 3; ++ ++ // Translate into more windowed form ++ var repr = []; ++ for (var j = 0; j < naf.length; j += doubles.step) { ++ var nafW = 0; ++ for (var k = j + doubles.step - 1; k >= j; k--) ++ nafW = (nafW << 1) + naf[k]; ++ repr.push(nafW); ++ } ++ ++ var a = this.jpoint(null, null, null); ++ var b = this.jpoint(null, null, null); ++ for (var i = I; i > 0; i--) { ++ for (var j = 0; j < repr.length; j++) { ++ var nafW = repr[j]; ++ if (nafW === i) ++ b = b.mixedAdd(doubles.points[j]); ++ else if (nafW === -i) ++ b = b.mixedAdd(doubles.points[j].neg()); ++ } ++ a = a.add(b); ++ } ++ return a.toP(); ++}; ++ ++BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { ++ var w = 4; ++ ++ // Precompute window ++ var nafPoints = p._getNAFPoints(w); ++ w = nafPoints.wnd; ++ var wnd = nafPoints.points; ++ ++ // Get NAF form ++ var naf = getNAF(k, w); ++ ++ // Add `this`*(N+1) for every w-NAF index ++ var acc = this.jpoint(null, null, null); ++ for (var i = naf.length - 1; i >= 0; i--) { ++ // Count zeroes ++ for (var k = 0; i >= 0 && naf[i] === 0; i--) ++ k++; ++ if (i >= 0) ++ k++; ++ acc = acc.dblp(k); ++ ++ if (i < 0) ++ break; ++ var z = naf[i]; ++ assert(z !== 0); ++ if (p.type === 'affine') { ++ // J +- P ++ if (z > 0) ++ acc = acc.mixedAdd(wnd[(z - 1) >> 1]); ++ else ++ acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg()); ++ } else { ++ // J +- J ++ if (z > 0) ++ acc = acc.add(wnd[(z - 1) >> 1]); ++ else ++ acc = acc.add(wnd[(-z - 1) >> 1].neg()); ++ } ++ } ++ return p.type === 'affine' ? acc.toP() : acc; ++}; ++ ++BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, ++ points, ++ coeffs, ++ len, ++ jacobianResult) { ++ var wndWidth = this._wnafT1; ++ var wnd = this._wnafT2; ++ var naf = this._wnafT3; ++ ++ // Fill all arrays ++ var max = 0; ++ for (var i = 0; i < len; i++) { ++ var p = points[i]; ++ var nafPoints = p._getNAFPoints(defW); ++ wndWidth[i] = nafPoints.wnd; ++ wnd[i] = nafPoints.points; ++ } ++ ++ // Comb small window NAFs ++ for (var i = len - 1; i >= 1; i -= 2) { ++ var a = i - 1; ++ var b = i; ++ if (wndWidth[a] !== 1 || wndWidth[b] !== 1) { ++ naf[a] = getNAF(coeffs[a], wndWidth[a]); ++ naf[b] = getNAF(coeffs[b], wndWidth[b]); ++ max = Math.max(naf[a].length, max); ++ max = Math.max(naf[b].length, max); ++ continue; ++ } ++ ++ var comb = [ ++ points[a], /* 1 */ ++ null, /* 3 */ ++ null, /* 5 */ ++ points[b] /* 7 */ ++ ]; ++ ++ // Try to avoid Projective points, if possible ++ if (points[a].y.cmp(points[b].y) === 0) { ++ comb[1] = points[a].add(points[b]); ++ comb[2] = points[a].toJ().mixedAdd(points[b].neg()); ++ } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) { ++ comb[1] = points[a].toJ().mixedAdd(points[b]); ++ comb[2] = points[a].add(points[b].neg()); ++ } else { ++ comb[1] = points[a].toJ().mixedAdd(points[b]); ++ comb[2] = points[a].toJ().mixedAdd(points[b].neg()); ++ } ++ ++ var index = [ ++ -3, /* -1 -1 */ ++ -1, /* -1 0 */ ++ -5, /* -1 1 */ ++ -7, /* 0 -1 */ ++ 0, /* 0 0 */ ++ 7, /* 0 1 */ ++ 5, /* 1 -1 */ ++ 1, /* 1 0 */ ++ 3 /* 1 1 */ ++ ]; ++ ++ var jsf = getJSF(coeffs[a], coeffs[b]); ++ max = Math.max(jsf[0].length, max); ++ naf[a] = new Array(max); ++ naf[b] = new Array(max); ++ for (var j = 0; j < max; j++) { ++ var ja = jsf[0][j] | 0; ++ var jb = jsf[1][j] | 0; ++ ++ naf[a][j] = index[(ja + 1) * 3 + (jb + 1)]; ++ naf[b][j] = 0; ++ wnd[a] = comb; ++ } ++ } ++ ++ var acc = this.jpoint(null, null, null); ++ var tmp = this._wnafT4; ++ for (var i = max; i >= 0; i--) { ++ var k = 0; ++ ++ while (i >= 0) { ++ var zero = true; ++ for (var j = 0; j < len; j++) { ++ tmp[j] = naf[j][i] | 0; ++ if (tmp[j] !== 0) ++ zero = false; ++ } ++ if (!zero) ++ break; ++ k++; ++ i--; ++ } ++ if (i >= 0) ++ k++; ++ acc = acc.dblp(k); ++ if (i < 0) ++ break; ++ ++ for (var j = 0; j < len; j++) { ++ var z = tmp[j]; ++ var p; ++ if (z === 0) ++ continue; ++ else if (z > 0) ++ p = wnd[j][(z - 1) >> 1]; ++ else if (z < 0) ++ p = wnd[j][(-z - 1) >> 1].neg(); ++ ++ if (p.type === 'affine') ++ acc = acc.mixedAdd(p); ++ else ++ acc = acc.add(p); ++ } ++ } ++ // Zeroify references ++ for (var i = 0; i < len; i++) ++ wnd[i] = null; ++ ++ if (jacobianResult) ++ return acc; ++ else ++ return acc.toP(); ++}; ++ ++function BasePoint(curve, type) { ++ this.curve = curve; ++ this.type = type; ++ this.precomputed = null; ++} ++BaseCurve.BasePoint = BasePoint; ++ ++BasePoint.prototype.eq = function eq(/*other*/) { ++ throw new Error('Not implemented'); ++}; ++ ++BasePoint.prototype.validate = function validate() { ++ return this.curve.validate(this); ++}; ++ ++BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) { ++ bytes = utils.toArray(bytes, enc); ++ ++ var len = this.p.byteLength(); ++ ++ // uncompressed, hybrid-odd, hybrid-even ++ if ((bytes[0] === 0x04 || bytes[0] === 0x06 || bytes[0] === 0x07) && ++ bytes.length - 1 === 2 * len) { ++ if (bytes[0] === 0x06) ++ assert(bytes[bytes.length - 1] % 2 === 0); ++ else if (bytes[0] === 0x07) ++ assert(bytes[bytes.length - 1] % 2 === 1); ++ ++ var res = this.point(bytes.slice(1, 1 + len), ++ bytes.slice(1 + len, 1 + 2 * len)); ++ ++ return res; ++ } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) && ++ bytes.length - 1 === len) { ++ return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03); ++ } ++ throw new Error('Unknown point format'); ++}; ++ ++BasePoint.prototype.encodeCompressed = function encodeCompressed(enc) { ++ return this.encode(enc, true); ++}; ++ ++BasePoint.prototype._encode = function _encode(compact) { ++ var len = this.curve.p.byteLength(); ++ var x = this.getX().toArray('be', len); ++ ++ if (compact) ++ return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x); ++ ++ return [ 0x04 ].concat(x, this.getY().toArray('be', len)) ; ++}; ++ ++BasePoint.prototype.encode = function encode(enc, compact) { ++ return utils.encode(this._encode(compact), enc); ++}; ++ ++BasePoint.prototype.precompute = function precompute(power) { ++ if (this.precomputed) ++ return this; ++ ++ var precomputed = { ++ doubles: null, ++ naf: null, ++ beta: null ++ }; ++ precomputed.naf = this._getNAFPoints(8); ++ precomputed.doubles = this._getDoubles(4, power); ++ precomputed.beta = this._getBeta(); ++ this.precomputed = precomputed; ++ ++ return this; ++}; ++ ++BasePoint.prototype._hasDoubles = function _hasDoubles(k) { ++ if (!this.precomputed) ++ return false; ++ ++ var doubles = this.precomputed.doubles; ++ if (!doubles) ++ return false; ++ ++ return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step); ++}; ++ ++BasePoint.prototype._getDoubles = function _getDoubles(step, power) { ++ if (this.precomputed && this.precomputed.doubles) ++ return this.precomputed.doubles; ++ ++ var doubles = [ this ]; ++ var acc = this; ++ for (var i = 0; i < power; i += step) { ++ for (var j = 0; j < step; j++) ++ acc = acc.dbl(); ++ doubles.push(acc); ++ } ++ return { ++ step: step, ++ points: doubles ++ }; ++}; ++ ++BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) { ++ if (this.precomputed && this.precomputed.naf) ++ return this.precomputed.naf; ++ ++ var res = [ this ]; ++ var max = (1 << wnd) - 1; ++ var dbl = max === 1 ? null : this.dbl(); ++ for (var i = 1; i < max; i++) ++ res[i] = res[i - 1].add(dbl); ++ return { ++ wnd: wnd, ++ points: res ++ }; ++}; ++ ++BasePoint.prototype._getBeta = function _getBeta() { ++ return null; ++}; ++ ++BasePoint.prototype.dblp = function dblp(k) { ++ var r = this; ++ for (var i = 0; i < k; i++) ++ r = r.dbl(); ++ return r; ++}; ++ ++},{"../../elliptic":2,"bn.js":1}],4:[function(require,module,exports){ ++'use strict'; ++ ++var curve = require('../curve'); ++var elliptic = require('../../elliptic'); ++var BN = require('bn.js'); ++var inherits = require('inherits'); ++var Base = curve.base; ++ ++var assert = elliptic.utils.assert; ++ ++function EdwardsCurve(conf) { ++ // NOTE: Important as we are creating point in Base.call() ++ this.twisted = (conf.a | 0) !== 1; ++ this.mOneA = this.twisted && (conf.a | 0) === -1; ++ this.extended = this.mOneA; ++ ++ Base.call(this, 'edwards', conf); ++ ++ this.a = new BN(conf.a, 16).umod(this.red.m); ++ this.a = this.a.toRed(this.red); ++ this.c = new BN(conf.c, 16).toRed(this.red); ++ this.c2 = this.c.redSqr(); ++ this.d = new BN(conf.d, 16).toRed(this.red); ++ this.dd = this.d.redAdd(this.d); ++ ++ assert(!this.twisted || this.c.fromRed().cmpn(1) === 0); ++ this.oneC = (conf.c | 0) === 1; ++} ++inherits(EdwardsCurve, Base); ++module.exports = EdwardsCurve; ++ ++EdwardsCurve.prototype._mulA = function _mulA(num) { ++ if (this.mOneA) ++ return num.redNeg(); ++ else ++ return this.a.redMul(num); ++}; ++ ++EdwardsCurve.prototype._mulC = function _mulC(num) { ++ if (this.oneC) ++ return num; ++ else ++ return this.c.redMul(num); ++}; ++ ++// Just for compatibility with Short curve ++EdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) { ++ return this.point(x, y, z, t); ++}; ++ ++EdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) { ++ x = new BN(x, 16); ++ if (!x.red) ++ x = x.toRed(this.red); ++ ++ var x2 = x.redSqr(); ++ var rhs = this.c2.redSub(this.a.redMul(x2)); ++ var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2)); ++ ++ var y2 = rhs.redMul(lhs.redInvm()); ++ var y = y2.redSqrt(); ++ if (y.redSqr().redSub(y2).cmp(this.zero) !== 0) ++ throw new Error('invalid point'); ++ ++ var isOdd = y.fromRed().isOdd(); ++ if (odd && !isOdd || !odd && isOdd) ++ y = y.redNeg(); ++ ++ return this.point(x, y); ++}; ++ ++EdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) { ++ y = new BN(y, 16); ++ if (!y.red) ++ y = y.toRed(this.red); ++ ++ // x^2 = (y^2 - 1) / (d y^2 + 1) ++ var y2 = y.redSqr(); ++ var lhs = y2.redSub(this.one); ++ var rhs = y2.redMul(this.d).redAdd(this.one); ++ var x2 = lhs.redMul(rhs.redInvm()); ++ ++ if (x2.cmp(this.zero) === 0) { ++ if (odd) ++ throw new Error('invalid point'); ++ else ++ return this.point(this.zero, y); ++ } ++ ++ var x = x2.redSqrt(); ++ if (x.redSqr().redSub(x2).cmp(this.zero) !== 0) ++ throw new Error('invalid point'); ++ ++ if (x.isOdd() !== odd) ++ x = x.redNeg(); ++ ++ return this.point(x, y); ++}; ++ ++EdwardsCurve.prototype.validate = function validate(point) { ++ if (point.isInfinity()) ++ return true; ++ ++ // Curve: A * X^2 + Y^2 = C^2 * (1 + D * X^2 * Y^2) ++ point.normalize(); ++ ++ var x2 = point.x.redSqr(); ++ var y2 = point.y.redSqr(); ++ var lhs = x2.redMul(this.a).redAdd(y2); ++ var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2))); ++ ++ return lhs.cmp(rhs) === 0; ++}; ++ ++function Point(curve, x, y, z, t) { ++ Base.BasePoint.call(this, curve, 'projective'); ++ if (x === null && y === null && z === null) { ++ this.x = this.curve.zero; ++ this.y = this.curve.one; ++ this.z = this.curve.one; ++ this.t = this.curve.zero; ++ this.zOne = true; ++ } else { ++ this.x = new BN(x, 16); ++ this.y = new BN(y, 16); ++ this.z = z ? new BN(z, 16) : this.curve.one; ++ this.t = t && new BN(t, 16); ++ if (!this.x.red) ++ this.x = this.x.toRed(this.curve.red); ++ if (!this.y.red) ++ this.y = this.y.toRed(this.curve.red); ++ if (!this.z.red) ++ this.z = this.z.toRed(this.curve.red); ++ if (this.t && !this.t.red) ++ this.t = this.t.toRed(this.curve.red); ++ this.zOne = this.z === this.curve.one; ++ ++ // Use extended coordinates ++ if (this.curve.extended && !this.t) { ++ this.t = this.x.redMul(this.y); ++ if (!this.zOne) ++ this.t = this.t.redMul(this.z.redInvm()); ++ } ++ } ++} ++inherits(Point, Base.BasePoint); ++ ++EdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) { ++ return Point.fromJSON(this, obj); ++}; ++ ++EdwardsCurve.prototype.point = function point(x, y, z, t) { ++ return new Point(this, x, y, z, t); ++}; ++ ++Point.fromJSON = function fromJSON(curve, obj) { ++ return new Point(curve, obj[0], obj[1], obj[2]); ++}; ++ ++Point.prototype.inspect = function inspect() { ++ if (this.isInfinity()) ++ return '<EC Point Infinity>'; ++ return '<EC Point x: ' + this.x.fromRed().toString(16, 2) + ++ ' y: ' + this.y.fromRed().toString(16, 2) + ++ ' z: ' + this.z.fromRed().toString(16, 2) + '>'; ++}; ++ ++Point.prototype.isInfinity = function isInfinity() { ++ // XXX This code assumes that zero is always zero in red ++ return this.x.cmpn(0) === 0 && ++ this.y.cmp(this.z) === 0; ++}; ++ ++Point.prototype._extDbl = function _extDbl() { ++ // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html ++ // #doubling-dbl-2008-hwcd ++ // 4M + 4S ++ ++ // A = X1^2 ++ var a = this.x.redSqr(); ++ // B = Y1^2 ++ var b = this.y.redSqr(); ++ // C = 2 * Z1^2 ++ var c = this.z.redSqr(); ++ c = c.redIAdd(c); ++ // D = a * A ++ var d = this.curve._mulA(a); ++ // E = (X1 + Y1)^2 - A - B ++ var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b); ++ // G = D + B ++ var g = d.redAdd(b); ++ // F = G - C ++ var f = g.redSub(c); ++ // H = D - B ++ var h = d.redSub(b); ++ // X3 = E * F ++ var nx = e.redMul(f); ++ // Y3 = G * H ++ var ny = g.redMul(h); ++ // T3 = E * H ++ var nt = e.redMul(h); ++ // Z3 = F * G ++ var nz = f.redMul(g); ++ return this.curve.point(nx, ny, nz, nt); ++}; ++ ++Point.prototype._projDbl = function _projDbl() { ++ // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html ++ // #doubling-dbl-2008-bbjlp ++ // #doubling-dbl-2007-bl ++ // and others ++ // Generally 3M + 4S or 2M + 4S ++ ++ // B = (X1 + Y1)^2 ++ var b = this.x.redAdd(this.y).redSqr(); ++ // C = X1^2 ++ var c = this.x.redSqr(); ++ // D = Y1^2 ++ var d = this.y.redSqr(); ++ ++ var nx; ++ var ny; ++ var nz; ++ if (this.curve.twisted) { ++ // E = a * C ++ var e = this.curve._mulA(c); ++ // F = E + D ++ var f = e.redAdd(d); ++ if (this.zOne) { ++ // X3 = (B - C - D) * (F - 2) ++ nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two)); ++ // Y3 = F * (E - D) ++ ny = f.redMul(e.redSub(d)); ++ // Z3 = F^2 - 2 * F ++ nz = f.redSqr().redSub(f).redSub(f); ++ } else { ++ // H = Z1^2 ++ var h = this.z.redSqr(); ++ // J = F - 2 * H ++ var j = f.redSub(h).redISub(h); ++ // X3 = (B-C-D)*J ++ nx = b.redSub(c).redISub(d).redMul(j); ++ // Y3 = F * (E - D) ++ ny = f.redMul(e.redSub(d)); ++ // Z3 = F * J ++ nz = f.redMul(j); ++ } ++ } else { ++ // E = C + D ++ var e = c.redAdd(d); ++ // H = (c * Z1)^2 ++ var h = this.curve._mulC(this.c.redMul(this.z)).redSqr(); ++ // J = E - 2 * H ++ var j = e.redSub(h).redSub(h); ++ // X3 = c * (B - E) * J ++ nx = this.curve._mulC(b.redISub(e)).redMul(j); ++ // Y3 = c * E * (C - D) ++ ny = this.curve._mulC(e).redMul(c.redISub(d)); ++ // Z3 = E * J ++ nz = e.redMul(j); ++ } ++ return this.curve.point(nx, ny, nz); ++}; ++ ++Point.prototype.dbl = function dbl() { ++ if (this.isInfinity()) ++ return this; ++ ++ // Double in extended coordinates ++ if (this.curve.extended) ++ return this._extDbl(); ++ else ++ return this._projDbl(); ++}; ++ ++Point.prototype._extAdd = function _extAdd(p) { ++ // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html ++ // #addition-add-2008-hwcd-3 ++ // 8M ++ ++ // A = (Y1 - X1) * (Y2 - X2) ++ var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x)); ++ // B = (Y1 + X1) * (Y2 + X2) ++ var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x)); ++ // C = T1 * k * T2 ++ var c = this.t.redMul(this.curve.dd).redMul(p.t); ++ // D = Z1 * 2 * Z2 ++ var d = this.z.redMul(p.z.redAdd(p.z)); ++ // E = B - A ++ var e = b.redSub(a); ++ // F = D - C ++ var f = d.redSub(c); ++ // G = D + C ++ var g = d.redAdd(c); ++ // H = B + A ++ var h = b.redAdd(a); ++ // X3 = E * F ++ var nx = e.redMul(f); ++ // Y3 = G * H ++ var ny = g.redMul(h); ++ // T3 = E * H ++ var nt = e.redMul(h); ++ // Z3 = F * G ++ var nz = f.redMul(g); ++ return this.curve.point(nx, ny, nz, nt); ++}; ++ ++Point.prototype._projAdd = function _projAdd(p) { ++ // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html ++ // #addition-add-2008-bbjlp ++ // #addition-add-2007-bl ++ // 10M + 1S ++ ++ // A = Z1 * Z2 ++ var a = this.z.redMul(p.z); ++ // B = A^2 ++ var b = a.redSqr(); ++ // C = X1 * X2 ++ var c = this.x.redMul(p.x); ++ // D = Y1 * Y2 ++ var d = this.y.redMul(p.y); ++ // E = d * C * D ++ var e = this.curve.d.redMul(c).redMul(d); ++ // F = B - E ++ var f = b.redSub(e); ++ // G = B + E ++ var g = b.redAdd(e); ++ // X3 = A * F * ((X1 + Y1) * (X2 + Y2) - C - D) ++ var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d); ++ var nx = a.redMul(f).redMul(tmp); ++ var ny; ++ var nz; ++ if (this.curve.twisted) { ++ // Y3 = A * G * (D - a * C) ++ ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c))); ++ // Z3 = F * G ++ nz = f.redMul(g); ++ } else { ++ // Y3 = A * G * (D - C) ++ ny = a.redMul(g).redMul(d.redSub(c)); ++ // Z3 = c * F * G ++ nz = this.curve._mulC(f).redMul(g); ++ } ++ return this.curve.point(nx, ny, nz); ++}; ++ ++Point.prototype.add = function add(p) { ++ if (this.isInfinity()) ++ return p; ++ if (p.isInfinity()) ++ return this; ++ ++ if (this.curve.extended) ++ return this._extAdd(p); ++ else ++ return this._projAdd(p); ++}; ++ ++Point.prototype.mul = function mul(k) { ++ if (this._hasDoubles(k)) ++ return this.curve._fixedNafMul(this, k); ++ else ++ return this.curve._wnafMul(this, k); ++}; ++ ++Point.prototype.mulAdd = function mulAdd(k1, p, k2) { ++ return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, false); ++}; ++ ++Point.prototype.jmulAdd = function jmulAdd(k1, p, k2) { ++ return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, true); ++}; ++ ++Point.prototype.normalize = function normalize() { ++ if (this.zOne) ++ return this; ++ ++ // Normalize coordinates ++ var zi = this.z.redInvm(); ++ this.x = this.x.redMul(zi); ++ this.y = this.y.redMul(zi); ++ if (this.t) ++ this.t = this.t.redMul(zi); ++ this.z = this.curve.one; ++ this.zOne = true; ++ return this; ++}; ++ ++Point.prototype.neg = function neg() { ++ return this.curve.point(this.x.redNeg(), ++ this.y, ++ this.z, ++ this.t && this.t.redNeg()); ++}; ++ ++Point.prototype.getX = function getX() { ++ this.normalize(); ++ return this.x.fromRed(); ++}; ++ ++Point.prototype.getY = function getY() { ++ this.normalize(); ++ return this.y.fromRed(); ++}; ++ ++Point.prototype.eq = function eq(other) { ++ return this === other || ++ this.getX().cmp(other.getX()) === 0 && ++ this.getY().cmp(other.getY()) === 0; ++}; ++ ++Point.prototype.eqXToP = function eqXToP(x) { ++ var rx = x.toRed(this.curve.red).redMul(this.z); ++ if (this.x.cmp(rx) === 0) ++ return true; ++ ++ var xc = x.clone(); ++ var t = this.curve.redN.redMul(this.z); ++ for (;;) { ++ xc.iadd(this.curve.n); ++ if (xc.cmp(this.curve.p) >= 0) ++ return false; ++ ++ rx.redIAdd(t); ++ if (this.x.cmp(rx) === 0) ++ return true; ++ } ++ return false; ++}; ++ ++// Compatibility with BaseCurve ++Point.prototype.toP = Point.prototype.normalize; ++Point.prototype.mixedAdd = Point.prototype.add; ++ ++},{"../../elliptic":2,"../curve":5,"bn.js":1,"inherits":25}],5:[function(require,module,exports){ ++'use strict'; ++ ++var curve = exports; ++ ++curve.base = require('./base'); ++curve.short = require('./short'); ++curve.mont = require('./mont'); ++curve.edwards = require('./edwards'); ++ ++},{"./base":3,"./edwards":4,"./mont":6,"./short":7}],6:[function(require,module,exports){ ++'use strict'; ++ ++var curve = require('../curve'); ++var BN = require('bn.js'); ++var inherits = require('inherits'); ++var Base = curve.base; ++ ++var elliptic = require('../../elliptic'); ++var utils = elliptic.utils; ++ ++function MontCurve(conf) { ++ Base.call(this, 'mont', conf); ++ ++ this.a = new BN(conf.a, 16).toRed(this.red); ++ this.b = new BN(conf.b, 16).toRed(this.red); ++ this.i4 = new BN(4).toRed(this.red).redInvm(); ++ this.two = new BN(2).toRed(this.red); ++ this.a24 = this.i4.redMul(this.a.redAdd(this.two)); ++} ++inherits(MontCurve, Base); ++module.exports = MontCurve; ++ ++MontCurve.prototype.validate = function validate(point) { ++ var x = point.normalize().x; ++ var x2 = x.redSqr(); ++ var rhs = x2.redMul(x).redAdd(x2.redMul(this.a)).redAdd(x); ++ var y = rhs.redSqrt(); ++ ++ return y.redSqr().cmp(rhs) === 0; ++}; ++ ++function Point(curve, x, z) { ++ Base.BasePoint.call(this, curve, 'projective'); ++ if (x === null && z === null) { ++ this.x = this.curve.one; ++ this.z = this.curve.zero; ++ } else { ++ this.x = new BN(x, 16); ++ this.z = new BN(z, 16); ++ if (!this.x.red) ++ this.x = this.x.toRed(this.curve.red); ++ if (!this.z.red) ++ this.z = this.z.toRed(this.curve.red); ++ } ++} ++inherits(Point, Base.BasePoint); ++ ++MontCurve.prototype.decodePoint = function decodePoint(bytes, enc) { ++ return this.point(utils.toArray(bytes, enc), 1); ++}; ++ ++MontCurve.prototype.point = function point(x, z) { ++ return new Point(this, x, z); ++}; ++ ++MontCurve.prototype.pointFromJSON = function pointFromJSON(obj) { ++ return Point.fromJSON(this, obj); ++}; ++ ++Point.prototype.precompute = function precompute() { ++ // No-op ++}; ++ ++Point.prototype._encode = function _encode() { ++ return this.getX().toArray('be', this.curve.p.byteLength()); ++}; ++ ++Point.fromJSON = function fromJSON(curve, obj) { ++ return new Point(curve, obj[0], obj[1] || curve.one); ++}; ++ ++Point.prototype.inspect = function inspect() { ++ if (this.isInfinity()) ++ return '<EC Point Infinity>'; ++ return '<EC Point x: ' + this.x.fromRed().toString(16, 2) + ++ ' z: ' + this.z.fromRed().toString(16, 2) + '>'; ++}; ++ ++Point.prototype.isInfinity = function isInfinity() { ++ // XXX This code assumes that zero is always zero in red ++ return this.z.cmpn(0) === 0; ++}; ++ ++Point.prototype.dbl = function dbl() { ++ // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#doubling-dbl-1987-m-3 ++ // 2M + 2S + 4A ++ ++ // A = X1 + Z1 ++ var a = this.x.redAdd(this.z); ++ // AA = A^2 ++ var aa = a.redSqr(); ++ // B = X1 - Z1 ++ var b = this.x.redSub(this.z); ++ // BB = B^2 ++ var bb = b.redSqr(); ++ // C = AA - BB ++ var c = aa.redSub(bb); ++ // X3 = AA * BB ++ var nx = aa.redMul(bb); ++ // Z3 = C * (BB + A24 * C) ++ var nz = c.redMul(bb.redAdd(this.curve.a24.redMul(c))); ++ return this.curve.point(nx, nz); ++}; ++ ++Point.prototype.add = function add() { ++ throw new Error('Not supported on Montgomery curve'); ++}; ++ ++Point.prototype.diffAdd = function diffAdd(p, diff) { ++ // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#diffadd-dadd-1987-m-3 ++ // 4M + 2S + 6A ++ ++ // A = X2 + Z2 ++ var a = this.x.redAdd(this.z); ++ // B = X2 - Z2 ++ var b = this.x.redSub(this.z); ++ // C = X3 + Z3 ++ var c = p.x.redAdd(p.z); ++ // D = X3 - Z3 ++ var d = p.x.redSub(p.z); ++ // DA = D * A ++ var da = d.redMul(a); ++ // CB = C * B ++ var cb = c.redMul(b); ++ // X5 = Z1 * (DA + CB)^2 ++ var nx = diff.z.redMul(da.redAdd(cb).redSqr()); ++ // Z5 = X1 * (DA - CB)^2 ++ var nz = diff.x.redMul(da.redISub(cb).redSqr()); ++ return this.curve.point(nx, nz); ++}; ++ ++Point.prototype.mul = function mul(k) { ++ var t = k.clone(); ++ var a = this; // (N / 2) * Q + Q ++ var b = this.curve.point(null, null); // (N / 2) * Q ++ var c = this; // Q ++ ++ for (var bits = []; t.cmpn(0) !== 0; t.iushrn(1)) ++ bits.push(t.andln(1)); ++ ++ for (var i = bits.length - 1; i >= 0; i--) { ++ if (bits[i] === 0) { ++ // N * Q + Q = ((N / 2) * Q + Q)) + (N / 2) * Q ++ a = a.diffAdd(b, c); ++ // N * Q = 2 * ((N / 2) * Q + Q)) ++ b = b.dbl(); ++ } else { ++ // N * Q = ((N / 2) * Q + Q) + ((N / 2) * Q) ++ b = a.diffAdd(b, c); ++ // N * Q + Q = 2 * ((N / 2) * Q + Q) ++ a = a.dbl(); ++ } ++ } ++ return b; ++}; ++ ++Point.prototype.mulAdd = function mulAdd() { ++ throw new Error('Not supported on Montgomery curve'); ++}; ++ ++Point.prototype.jumlAdd = function jumlAdd() { ++ throw new Error('Not supported on Montgomery curve'); ++}; ++ ++Point.prototype.eq = function eq(other) { ++ return this.getX().cmp(other.getX()) === 0; ++}; ++ ++Point.prototype.normalize = function normalize() { ++ this.x = this.x.redMul(this.z.redInvm()); ++ this.z = this.curve.one; ++ return this; ++}; ++ ++Point.prototype.getX = function getX() { ++ // Normalize coordinates ++ this.normalize(); ++ ++ return this.x.fromRed(); ++}; ++ ++},{"../../elliptic":2,"../curve":5,"bn.js":1,"inherits":25}],7:[function(require,module,exports){ ++'use strict'; ++ ++var curve = require('../curve'); ++var elliptic = require('../../elliptic'); ++var BN = require('bn.js'); ++var inherits = require('inherits'); ++var Base = curve.base; ++ ++var assert = elliptic.utils.assert; ++ ++function ShortCurve(conf) { ++ Base.call(this, 'short', conf); ++ ++ this.a = new BN(conf.a, 16).toRed(this.red); ++ this.b = new BN(conf.b, 16).toRed(this.red); ++ this.tinv = this.two.redInvm(); ++ ++ this.zeroA = this.a.fromRed().cmpn(0) === 0; ++ this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0; ++ ++ // If the curve is endomorphic, precalculate beta and lambda ++ this.endo = this._getEndomorphism(conf); ++ this._endoWnafT1 = new Array(4); ++ this._endoWnafT2 = new Array(4); ++} ++inherits(ShortCurve, Base); ++module.exports = ShortCurve; ++ ++ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) { ++ // No efficient endomorphism ++ if (!this.zeroA || !this.g || !this.n || this.p.modn(3) !== 1) ++ return; ++ ++ // Compute beta and lambda, that lambda * P = (beta * Px; Py) ++ var beta; ++ var lambda; ++ if (conf.beta) { ++ beta = new BN(conf.beta, 16).toRed(this.red); ++ } else { ++ var betas = this._getEndoRoots(this.p); ++ // Choose the smallest beta ++ beta = betas[0].cmp(betas[1]) < 0 ? betas[0] : betas[1]; ++ beta = beta.toRed(this.red); ++ } ++ if (conf.lambda) { ++ lambda = new BN(conf.lambda, 16); ++ } else { ++ // Choose the lambda that is matching selected beta ++ var lambdas = this._getEndoRoots(this.n); ++ if (this.g.mul(lambdas[0]).x.cmp(this.g.x.redMul(beta)) === 0) { ++ lambda = lambdas[0]; ++ } else { ++ lambda = lambdas[1]; ++ assert(this.g.mul(lambda).x.cmp(this.g.x.redMul(beta)) === 0); ++ } ++ } ++ ++ // Get basis vectors, used for balanced length-two representation ++ var basis; ++ if (conf.basis) { ++ basis = conf.basis.map(function(vec) { ++ return { ++ a: new BN(vec.a, 16), ++ b: new BN(vec.b, 16) ++ }; ++ }); ++ } else { ++ basis = this._getEndoBasis(lambda); ++ } ++ ++ return { ++ beta: beta, ++ lambda: lambda, ++ basis: basis ++ }; ++}; ++ ++ShortCurve.prototype._getEndoRoots = function _getEndoRoots(num) { ++ // Find roots of for x^2 + x + 1 in F ++ // Root = (-1 +- Sqrt(-3)) / 2 ++ // ++ var red = num === this.p ? this.red : BN.mont(num); ++ var tinv = new BN(2).toRed(red).redInvm(); ++ var ntinv = tinv.redNeg(); ++ ++ var s = new BN(3).toRed(red).redNeg().redSqrt().redMul(tinv); ++ ++ var l1 = ntinv.redAdd(s).fromRed(); ++ var l2 = ntinv.redSub(s).fromRed(); ++ return [ l1, l2 ]; ++}; ++ ++ShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) { ++ // aprxSqrt >= sqrt(this.n) ++ var aprxSqrt = this.n.ushrn(Math.floor(this.n.bitLength() / 2)); ++ ++ // 3.74 ++ // Run EGCD, until r(L + 1) < aprxSqrt ++ var u = lambda; ++ var v = this.n.clone(); ++ var x1 = new BN(1); ++ var y1 = new BN(0); ++ var x2 = new BN(0); ++ var y2 = new BN(1); ++ ++ // NOTE: all vectors are roots of: a + b * lambda = 0 (mod n) ++ var a0; ++ var b0; ++ // First vector ++ var a1; ++ var b1; ++ // Second vector ++ var a2; ++ var b2; ++ ++ var prevR; ++ var i = 0; ++ var r; ++ var x; ++ while (u.cmpn(0) !== 0) { ++ var q = v.div(u); ++ r = v.sub(q.mul(u)); ++ x = x2.sub(q.mul(x1)); ++ var y = y2.sub(q.mul(y1)); ++ ++ if (!a1 && r.cmp(aprxSqrt) < 0) { ++ a0 = prevR.neg(); ++ b0 = x1; ++ a1 = r.neg(); ++ b1 = x; ++ } else if (a1 && ++i === 2) { ++ break; ++ } ++ prevR = r; ++ ++ v = u; ++ u = r; ++ x2 = x1; ++ x1 = x; ++ y2 = y1; ++ y1 = y; ++ } ++ a2 = r.neg(); ++ b2 = x; ++ ++ var len1 = a1.sqr().add(b1.sqr()); ++ var len2 = a2.sqr().add(b2.sqr()); ++ if (len2.cmp(len1) >= 0) { ++ a2 = a0; ++ b2 = b0; ++ } ++ ++ // Normalize signs ++ if (a1.negative) { ++ a1 = a1.neg(); ++ b1 = b1.neg(); ++ } ++ if (a2.negative) { ++ a2 = a2.neg(); ++ b2 = b2.neg(); ++ } ++ ++ return [ ++ { a: a1, b: b1 }, ++ { a: a2, b: b2 } ++ ]; ++}; ++ ++ShortCurve.prototype._endoSplit = function _endoSplit(k) { ++ var basis = this.endo.basis; ++ var v1 = basis[0]; ++ var v2 = basis[1]; ++ ++ var c1 = v2.b.mul(k).divRound(this.n); ++ var c2 = v1.b.neg().mul(k).divRound(this.n); ++ ++ var p1 = c1.mul(v1.a); ++ var p2 = c2.mul(v2.a); ++ var q1 = c1.mul(v1.b); ++ var q2 = c2.mul(v2.b); ++ ++ // Calculate answer ++ var k1 = k.sub(p1).sub(p2); ++ var k2 = q1.add(q2).neg(); ++ return { k1: k1, k2: k2 }; ++}; ++ ++ShortCurve.prototype.pointFromX = function pointFromX(x, odd) { ++ x = new BN(x, 16); ++ if (!x.red) ++ x = x.toRed(this.red); ++ ++ var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b); ++ var y = y2.redSqrt(); ++ if (y.redSqr().redSub(y2).cmp(this.zero) !== 0) ++ throw new Error('invalid point'); ++ ++ // XXX Is there any way to tell if the number is odd without converting it ++ // to non-red form? ++ var isOdd = y.fromRed().isOdd(); ++ if (odd && !isOdd || !odd && isOdd) ++ y = y.redNeg(); ++ ++ return this.point(x, y); ++}; ++ ++ShortCurve.prototype.validate = function validate(point) { ++ if (point.inf) ++ return true; ++ ++ var x = point.x; ++ var y = point.y; ++ ++ var ax = this.a.redMul(x); ++ var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b); ++ return y.redSqr().redISub(rhs).cmpn(0) === 0; ++}; ++ ++ShortCurve.prototype._endoWnafMulAdd = ++ function _endoWnafMulAdd(points, coeffs, jacobianResult) { ++ var npoints = this._endoWnafT1; ++ var ncoeffs = this._endoWnafT2; ++ for (var i = 0; i < points.length; i++) { ++ var split = this._endoSplit(coeffs[i]); ++ var p = points[i]; ++ var beta = p._getBeta(); ++ ++ if (split.k1.negative) { ++ split.k1.ineg(); ++ p = p.neg(true); ++ } ++ if (split.k2.negative) { ++ split.k2.ineg(); ++ beta = beta.neg(true); ++ } ++ ++ npoints[i * 2] = p; ++ npoints[i * 2 + 1] = beta; ++ ncoeffs[i * 2] = split.k1; ++ ncoeffs[i * 2 + 1] = split.k2; ++ } ++ var res = this._wnafMulAdd(1, npoints, ncoeffs, i * 2, jacobianResult); ++ ++ // Clean-up references to points and coefficients ++ for (var j = 0; j < i * 2; j++) { ++ npoints[j] = null; ++ ncoeffs[j] = null; ++ } ++ return res; ++}; ++ ++function Point(curve, x, y, isRed) { ++ Base.BasePoint.call(this, curve, 'affine'); ++ if (x === null && y === null) { ++ this.x = null; ++ this.y = null; ++ this.inf = true; ++ } else { ++ this.x = new BN(x, 16); ++ this.y = new BN(y, 16); ++ // Force redgomery representation when loading from JSON ++ if (isRed) { ++ this.x.forceRed(this.curve.red); ++ this.y.forceRed(this.curve.red); ++ } ++ if (!this.x.red) ++ this.x = this.x.toRed(this.curve.red); ++ if (!this.y.red) ++ this.y = this.y.toRed(this.curve.red); ++ this.inf = false; ++ } ++} ++inherits(Point, Base.BasePoint); ++ ++ShortCurve.prototype.point = function point(x, y, isRed) { ++ return new Point(this, x, y, isRed); ++}; ++ ++ShortCurve.prototype.pointFromJSON = function pointFromJSON(obj, red) { ++ return Point.fromJSON(this, obj, red); ++}; ++ ++Point.prototype._getBeta = function _getBeta() { ++ if (!this.curve.endo) ++ return; ++ ++ var pre = this.precomputed; ++ if (pre && pre.beta) ++ return pre.beta; ++ ++ var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y); ++ if (pre) { ++ var curve = this.curve; ++ var endoMul = function(p) { ++ return curve.point(p.x.redMul(curve.endo.beta), p.y); ++ }; ++ pre.beta = beta; ++ beta.precomputed = { ++ beta: null, ++ naf: pre.naf && { ++ wnd: pre.naf.wnd, ++ points: pre.naf.points.map(endoMul) ++ }, ++ doubles: pre.doubles && { ++ step: pre.doubles.step, ++ points: pre.doubles.points.map(endoMul) ++ } ++ }; ++ } ++ return beta; ++}; ++ ++Point.prototype.toJSON = function toJSON() { ++ if (!this.precomputed) ++ return [ this.x, this.y ]; ++ ++ return [ this.x, this.y, this.precomputed && { ++ doubles: this.precomputed.doubles && { ++ step: this.precomputed.doubles.step, ++ points: this.precomputed.doubles.points.slice(1) ++ }, ++ naf: this.precomputed.naf && { ++ wnd: this.precomputed.naf.wnd, ++ points: this.precomputed.naf.points.slice(1) ++ } ++ } ]; ++}; ++ ++Point.fromJSON = function fromJSON(curve, obj, red) { ++ if (typeof obj === 'string') ++ obj = JSON.parse(obj); ++ var res = curve.point(obj[0], obj[1], red); ++ if (!obj[2]) ++ return res; ++ ++ function obj2point(obj) { ++ return curve.point(obj[0], obj[1], red); ++ } ++ ++ var pre = obj[2]; ++ res.precomputed = { ++ beta: null, ++ doubles: pre.doubles && { ++ step: pre.doubles.step, ++ points: [ res ].concat(pre.doubles.points.map(obj2point)) ++ }, ++ naf: pre.naf && { ++ wnd: pre.naf.wnd, ++ points: [ res ].concat(pre.naf.points.map(obj2point)) ++ } ++ }; ++ return res; ++}; ++ ++Point.prototype.inspect = function inspect() { ++ if (this.isInfinity()) ++ return '<EC Point Infinity>'; ++ return '<EC Point x: ' + this.x.fromRed().toString(16, 2) + ++ ' y: ' + this.y.fromRed().toString(16, 2) + '>'; ++}; ++ ++Point.prototype.isInfinity = function isInfinity() { ++ return this.inf; ++}; ++ ++Point.prototype.add = function add(p) { ++ // O + P = P ++ if (this.inf) ++ return p; ++ ++ // P + O = P ++ if (p.inf) ++ return this; ++ ++ // P + P = 2P ++ if (this.eq(p)) ++ return this.dbl(); ++ ++ // P + (-P) = O ++ if (this.neg().eq(p)) ++ return this.curve.point(null, null); ++ ++ // P + Q = O ++ if (this.x.cmp(p.x) === 0) ++ return this.curve.point(null, null); ++ ++ var c = this.y.redSub(p.y); ++ if (c.cmpn(0) !== 0) ++ c = c.redMul(this.x.redSub(p.x).redInvm()); ++ var nx = c.redSqr().redISub(this.x).redISub(p.x); ++ var ny = c.redMul(this.x.redSub(nx)).redISub(this.y); ++ return this.curve.point(nx, ny); ++}; ++ ++Point.prototype.dbl = function dbl() { ++ if (this.inf) ++ return this; ++ ++ // 2P = O ++ var ys1 = this.y.redAdd(this.y); ++ if (ys1.cmpn(0) === 0) ++ return this.curve.point(null, null); ++ ++ var a = this.curve.a; ++ ++ var x2 = this.x.redSqr(); ++ var dyinv = ys1.redInvm(); ++ var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv); ++ ++ var nx = c.redSqr().redISub(this.x.redAdd(this.x)); ++ var ny = c.redMul(this.x.redSub(nx)).redISub(this.y); ++ return this.curve.point(nx, ny); ++}; ++ ++Point.prototype.getX = function getX() { ++ return this.x.fromRed(); ++}; ++ ++Point.prototype.getY = function getY() { ++ return this.y.fromRed(); ++}; ++ ++Point.prototype.mul = function mul(k) { ++ k = new BN(k, 16); ++ ++ if (this._hasDoubles(k)) ++ return this.curve._fixedNafMul(this, k); ++ else if (this.curve.endo) ++ return this.curve._endoWnafMulAdd([ this ], [ k ]); ++ else ++ return this.curve._wnafMul(this, k); ++}; ++ ++Point.prototype.mulAdd = function mulAdd(k1, p2, k2) { ++ var points = [ this, p2 ]; ++ var coeffs = [ k1, k2 ]; ++ if (this.curve.endo) ++ return this.curve._endoWnafMulAdd(points, coeffs); ++ else ++ return this.curve._wnafMulAdd(1, points, coeffs, 2); ++}; ++ ++Point.prototype.jmulAdd = function jmulAdd(k1, p2, k2) { ++ var points = [ this, p2 ]; ++ var coeffs = [ k1, k2 ]; ++ if (this.curve.endo) ++ return this.curve._endoWnafMulAdd(points, coeffs, true); ++ else ++ return this.curve._wnafMulAdd(1, points, coeffs, 2, true); ++}; ++ ++Point.prototype.eq = function eq(p) { ++ return this === p || ++ this.inf === p.inf && ++ (this.inf || this.x.cmp(p.x) === 0 && this.y.cmp(p.y) === 0); ++}; ++ ++Point.prototype.neg = function neg(_precompute) { ++ if (this.inf) ++ return this; ++ ++ var res = this.curve.point(this.x, this.y.redNeg()); ++ if (_precompute && this.precomputed) { ++ var pre = this.precomputed; ++ var negate = function(p) { ++ return p.neg(); ++ }; ++ res.precomputed = { ++ naf: pre.naf && { ++ wnd: pre.naf.wnd, ++ points: pre.naf.points.map(negate) ++ }, ++ doubles: pre.doubles && { ++ step: pre.doubles.step, ++ points: pre.doubles.points.map(negate) ++ } ++ }; ++ } ++ return res; ++}; ++ ++Point.prototype.toJ = function toJ() { ++ if (this.inf) ++ return this.curve.jpoint(null, null, null); ++ ++ var res = this.curve.jpoint(this.x, this.y, this.curve.one); ++ return res; ++}; ++ ++function JPoint(curve, x, y, z) { ++ Base.BasePoint.call(this, curve, 'jacobian'); ++ if (x === null && y === null && z === null) { ++ this.x = this.curve.one; ++ this.y = this.curve.one; ++ this.z = new BN(0); ++ } else { ++ this.x = new BN(x, 16); ++ this.y = new BN(y, 16); ++ this.z = new BN(z, 16); ++ } ++ if (!this.x.red) ++ this.x = this.x.toRed(this.curve.red); ++ if (!this.y.red) ++ this.y = this.y.toRed(this.curve.red); ++ if (!this.z.red) ++ this.z = this.z.toRed(this.curve.red); ++ ++ this.zOne = this.z === this.curve.one; ++} ++inherits(JPoint, Base.BasePoint); ++ ++ShortCurve.prototype.jpoint = function jpoint(x, y, z) { ++ return new JPoint(this, x, y, z); ++}; ++ ++JPoint.prototype.toP = function toP() { ++ if (this.isInfinity()) ++ return this.curve.point(null, null); ++ ++ var zinv = this.z.redInvm(); ++ var zinv2 = zinv.redSqr(); ++ var ax = this.x.redMul(zinv2); ++ var ay = this.y.redMul(zinv2).redMul(zinv); ++ ++ return this.curve.point(ax, ay); ++}; ++ ++JPoint.prototype.neg = function neg() { ++ return this.curve.jpoint(this.x, this.y.redNeg(), this.z); ++}; ++ ++JPoint.prototype.add = function add(p) { ++ // O + P = P ++ if (this.isInfinity()) ++ return p; ++ ++ // P + O = P ++ if (p.isInfinity()) ++ return this; ++ ++ // 12M + 4S + 7A ++ var pz2 = p.z.redSqr(); ++ var z2 = this.z.redSqr(); ++ var u1 = this.x.redMul(pz2); ++ var u2 = p.x.redMul(z2); ++ var s1 = this.y.redMul(pz2.redMul(p.z)); ++ var s2 = p.y.redMul(z2.redMul(this.z)); ++ ++ var h = u1.redSub(u2); ++ var r = s1.redSub(s2); ++ if (h.cmpn(0) === 0) { ++ if (r.cmpn(0) !== 0) ++ return this.curve.jpoint(null, null, null); ++ else ++ return this.dbl(); ++ } ++ ++ var h2 = h.redSqr(); ++ var h3 = h2.redMul(h); ++ var v = u1.redMul(h2); ++ ++ var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v); ++ var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3)); ++ var nz = this.z.redMul(p.z).redMul(h); ++ ++ return this.curve.jpoint(nx, ny, nz); ++}; ++ ++JPoint.prototype.mixedAdd = function mixedAdd(p) { ++ // O + P = P ++ if (this.isInfinity()) ++ return p.toJ(); ++ ++ // P + O = P ++ if (p.isInfinity()) ++ return this; ++ ++ // 8M + 3S + 7A ++ var z2 = this.z.redSqr(); ++ var u1 = this.x; ++ var u2 = p.x.redMul(z2); ++ var s1 = this.y; ++ var s2 = p.y.redMul(z2).redMul(this.z); ++ ++ var h = u1.redSub(u2); ++ var r = s1.redSub(s2); ++ if (h.cmpn(0) === 0) { ++ if (r.cmpn(0) !== 0) ++ return this.curve.jpoint(null, null, null); ++ else ++ return this.dbl(); ++ } ++ ++ var h2 = h.redSqr(); ++ var h3 = h2.redMul(h); ++ var v = u1.redMul(h2); ++ ++ var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v); ++ var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3)); ++ var nz = this.z.redMul(h); ++ ++ return this.curve.jpoint(nx, ny, nz); ++}; ++ ++JPoint.prototype.dblp = function dblp(pow) { ++ if (pow === 0) ++ return this; ++ if (this.isInfinity()) ++ return this; ++ if (!pow) ++ return this.dbl(); ++ ++ if (this.curve.zeroA || this.curve.threeA) { ++ var r = this; ++ for (var i = 0; i < pow; i++) ++ r = r.dbl(); ++ return r; ++ } ++ ++ // 1M + 2S + 1A + N * (4S + 5M + 8A) ++ // N = 1 => 6M + 6S + 9A ++ var a = this.curve.a; ++ var tinv = this.curve.tinv; ++ ++ var jx = this.x; ++ var jy = this.y; ++ var jz = this.z; ++ var jz4 = jz.redSqr().redSqr(); ++ ++ // Reuse results ++ var jyd = jy.redAdd(jy); ++ for (var i = 0; i < pow; i++) { ++ var jx2 = jx.redSqr(); ++ var jyd2 = jyd.redSqr(); ++ var jyd4 = jyd2.redSqr(); ++ var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4)); ++ ++ var t1 = jx.redMul(jyd2); ++ var nx = c.redSqr().redISub(t1.redAdd(t1)); ++ var t2 = t1.redISub(nx); ++ var dny = c.redMul(t2); ++ dny = dny.redIAdd(dny).redISub(jyd4); ++ var nz = jyd.redMul(jz); ++ if (i + 1 < pow) ++ jz4 = jz4.redMul(jyd4); ++ ++ jx = nx; ++ jz = nz; ++ jyd = dny; ++ } ++ ++ return this.curve.jpoint(jx, jyd.redMul(tinv), jz); ++}; ++ ++JPoint.prototype.dbl = function dbl() { ++ if (this.isInfinity()) ++ return this; ++ ++ if (this.curve.zeroA) ++ return this._zeroDbl(); ++ else if (this.curve.threeA) ++ return this._threeDbl(); ++ else ++ return this._dbl(); ++}; ++ ++JPoint.prototype._zeroDbl = function _zeroDbl() { ++ var nx; ++ var ny; ++ var nz; ++ // Z = 1 ++ if (this.zOne) { ++ // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html ++ // #doubling-mdbl-2007-bl ++ // 1M + 5S + 14A ++ ++ // XX = X1^2 ++ var xx = this.x.redSqr(); ++ // YY = Y1^2 ++ var yy = this.y.redSqr(); ++ // YYYY = YY^2 ++ var yyyy = yy.redSqr(); ++ // S = 2 * ((X1 + YY)^2 - XX - YYYY) ++ var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); ++ s = s.redIAdd(s); ++ // M = 3 * XX + a; a = 0 ++ var m = xx.redAdd(xx).redIAdd(xx); ++ // T = M ^ 2 - 2*S ++ var t = m.redSqr().redISub(s).redISub(s); ++ ++ // 8 * YYYY ++ var yyyy8 = yyyy.redIAdd(yyyy); ++ yyyy8 = yyyy8.redIAdd(yyyy8); ++ yyyy8 = yyyy8.redIAdd(yyyy8); ++ ++ // X3 = T ++ nx = t; ++ // Y3 = M * (S - T) - 8 * YYYY ++ ny = m.redMul(s.redISub(t)).redISub(yyyy8); ++ // Z3 = 2*Y1 ++ nz = this.y.redAdd(this.y); ++ } else { ++ // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html ++ // #doubling-dbl-2009-l ++ // 2M + 5S + 13A ++ ++ // A = X1^2 ++ var a = this.x.redSqr(); ++ // B = Y1^2 ++ var b = this.y.redSqr(); ++ // C = B^2 ++ var c = b.redSqr(); ++ // D = 2 * ((X1 + B)^2 - A - C) ++ var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c); ++ d = d.redIAdd(d); ++ // E = 3 * A ++ var e = a.redAdd(a).redIAdd(a); ++ // F = E^2 ++ var f = e.redSqr(); ++ ++ // 8 * C ++ var c8 = c.redIAdd(c); ++ c8 = c8.redIAdd(c8); ++ c8 = c8.redIAdd(c8); ++ ++ // X3 = F - 2 * D ++ nx = f.redISub(d).redISub(d); ++ // Y3 = E * (D - X3) - 8 * C ++ ny = e.redMul(d.redISub(nx)).redISub(c8); ++ // Z3 = 2 * Y1 * Z1 ++ nz = this.y.redMul(this.z); ++ nz = nz.redIAdd(nz); ++ } ++ ++ return this.curve.jpoint(nx, ny, nz); ++}; ++ ++JPoint.prototype._threeDbl = function _threeDbl() { ++ var nx; ++ var ny; ++ var nz; ++ // Z = 1 ++ if (this.zOne) { ++ // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html ++ // #doubling-mdbl-2007-bl ++ // 1M + 5S + 15A ++ ++ // XX = X1^2 ++ var xx = this.x.redSqr(); ++ // YY = Y1^2 ++ var yy = this.y.redSqr(); ++ // YYYY = YY^2 ++ var yyyy = yy.redSqr(); ++ // S = 2 * ((X1 + YY)^2 - XX - YYYY) ++ var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); ++ s = s.redIAdd(s); ++ // M = 3 * XX + a ++ var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a); ++ // T = M^2 - 2 * S ++ var t = m.redSqr().redISub(s).redISub(s); ++ // X3 = T ++ nx = t; ++ // Y3 = M * (S - T) - 8 * YYYY ++ var yyyy8 = yyyy.redIAdd(yyyy); ++ yyyy8 = yyyy8.redIAdd(yyyy8); ++ yyyy8 = yyyy8.redIAdd(yyyy8); ++ ny = m.redMul(s.redISub(t)).redISub(yyyy8); ++ // Z3 = 2 * Y1 ++ nz = this.y.redAdd(this.y); ++ } else { ++ // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b ++ // 3M + 5S ++ ++ // delta = Z1^2 ++ var delta = this.z.redSqr(); ++ // gamma = Y1^2 ++ var gamma = this.y.redSqr(); ++ // beta = X1 * gamma ++ var beta = this.x.redMul(gamma); ++ // alpha = 3 * (X1 - delta) * (X1 + delta) ++ var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta)); ++ alpha = alpha.redAdd(alpha).redIAdd(alpha); ++ // X3 = alpha^2 - 8 * beta ++ var beta4 = beta.redIAdd(beta); ++ beta4 = beta4.redIAdd(beta4); ++ var beta8 = beta4.redAdd(beta4); ++ nx = alpha.redSqr().redISub(beta8); ++ // Z3 = (Y1 + Z1)^2 - gamma - delta ++ nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta); ++ // Y3 = alpha * (4 * beta - X3) - 8 * gamma^2 ++ var ggamma8 = gamma.redSqr(); ++ ggamma8 = ggamma8.redIAdd(ggamma8); ++ ggamma8 = ggamma8.redIAdd(ggamma8); ++ ggamma8 = ggamma8.redIAdd(ggamma8); ++ ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8); ++ } ++ ++ return this.curve.jpoint(nx, ny, nz); ++}; ++ ++JPoint.prototype._dbl = function _dbl() { ++ var a = this.curve.a; ++ ++ // 4M + 6S + 10A ++ var jx = this.x; ++ var jy = this.y; ++ var jz = this.z; ++ var jz4 = jz.redSqr().redSqr(); ++ ++ var jx2 = jx.redSqr(); ++ var jy2 = jy.redSqr(); ++ ++ var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4)); ++ ++ var jxd4 = jx.redAdd(jx); ++ jxd4 = jxd4.redIAdd(jxd4); ++ var t1 = jxd4.redMul(jy2); ++ var nx = c.redSqr().redISub(t1.redAdd(t1)); ++ var t2 = t1.redISub(nx); ++ ++ var jyd8 = jy2.redSqr(); ++ jyd8 = jyd8.redIAdd(jyd8); ++ jyd8 = jyd8.redIAdd(jyd8); ++ jyd8 = jyd8.redIAdd(jyd8); ++ var ny = c.redMul(t2).redISub(jyd8); ++ var nz = jy.redAdd(jy).redMul(jz); ++ ++ return this.curve.jpoint(nx, ny, nz); ++}; ++ ++JPoint.prototype.trpl = function trpl() { ++ if (!this.curve.zeroA) ++ return this.dbl().add(this); ++ ++ // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#tripling-tpl-2007-bl ++ // 5M + 10S + ... ++ ++ // XX = X1^2 ++ var xx = this.x.redSqr(); ++ // YY = Y1^2 ++ var yy = this.y.redSqr(); ++ // ZZ = Z1^2 ++ var zz = this.z.redSqr(); ++ // YYYY = YY^2 ++ var yyyy = yy.redSqr(); ++ // M = 3 * XX + a * ZZ2; a = 0 ++ var m = xx.redAdd(xx).redIAdd(xx); ++ // MM = M^2 ++ var mm = m.redSqr(); ++ // E = 6 * ((X1 + YY)^2 - XX - YYYY) - MM ++ var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); ++ e = e.redIAdd(e); ++ e = e.redAdd(e).redIAdd(e); ++ e = e.redISub(mm); ++ // EE = E^2 ++ var ee = e.redSqr(); ++ // T = 16*YYYY ++ var t = yyyy.redIAdd(yyyy); ++ t = t.redIAdd(t); ++ t = t.redIAdd(t); ++ t = t.redIAdd(t); ++ // U = (M + E)^2 - MM - EE - T ++ var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t); ++ // X3 = 4 * (X1 * EE - 4 * YY * U) ++ var yyu4 = yy.redMul(u); ++ yyu4 = yyu4.redIAdd(yyu4); ++ yyu4 = yyu4.redIAdd(yyu4); ++ var nx = this.x.redMul(ee).redISub(yyu4); ++ nx = nx.redIAdd(nx); ++ nx = nx.redIAdd(nx); ++ // Y3 = 8 * Y1 * (U * (T - U) - E * EE) ++ var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee))); ++ ny = ny.redIAdd(ny); ++ ny = ny.redIAdd(ny); ++ ny = ny.redIAdd(ny); ++ // Z3 = (Z1 + E)^2 - ZZ - EE ++ var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee); ++ ++ return this.curve.jpoint(nx, ny, nz); ++}; ++ ++JPoint.prototype.mul = function mul(k, kbase) { ++ k = new BN(k, kbase); ++ ++ return this.curve._wnafMul(this, k); ++}; ++ ++JPoint.prototype.eq = function eq(p) { ++ if (p.type === 'affine') ++ return this.eq(p.toJ()); ++ ++ if (this === p) ++ return true; ++ ++ // x1 * z2^2 == x2 * z1^2 ++ var z2 = this.z.redSqr(); ++ var pz2 = p.z.redSqr(); ++ if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0) ++ return false; ++ ++ // y1 * z2^3 == y2 * z1^3 ++ var z3 = z2.redMul(this.z); ++ var pz3 = pz2.redMul(p.z); ++ return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0; ++}; ++ ++JPoint.prototype.eqXToP = function eqXToP(x) { ++ var zs = this.z.redSqr(); ++ var rx = x.toRed(this.curve.red).redMul(zs); ++ if (this.x.cmp(rx) === 0) ++ return true; ++ ++ var xc = x.clone(); ++ var t = this.curve.redN.redMul(zs); ++ for (;;) { ++ xc.iadd(this.curve.n); ++ if (xc.cmp(this.curve.p) >= 0) ++ return false; ++ ++ rx.redIAdd(t); ++ if (this.x.cmp(rx) === 0) ++ return true; ++ } ++ return false; ++}; ++ ++JPoint.prototype.inspect = function inspect() { ++ if (this.isInfinity()) ++ return '<EC JPoint Infinity>'; ++ return '<EC JPoint x: ' + this.x.toString(16, 2) + ++ ' y: ' + this.y.toString(16, 2) + ++ ' z: ' + this.z.toString(16, 2) + '>'; ++}; ++ ++JPoint.prototype.isInfinity = function isInfinity() { ++ // XXX This code assumes that zero is always zero in red ++ return this.z.cmpn(0) === 0; ++}; ++ ++},{"../../elliptic":2,"../curve":5,"bn.js":1,"inherits":25}],8:[function(require,module,exports){ ++'use strict'; ++ ++var curves = exports; ++ ++var hash = require('hash.js'); ++var elliptic = require('../elliptic'); ++ ++var assert = elliptic.utils.assert; ++ ++function PresetCurve(options) { ++ if (options.type === 'short') ++ this.curve = new elliptic.curve.short(options); ++ else if (options.type === 'edwards') ++ this.curve = new elliptic.curve.edwards(options); ++ else ++ this.curve = new elliptic.curve.mont(options); ++ this.g = this.curve.g; ++ this.n = this.curve.n; ++ this.hash = options.hash; ++ ++ assert(this.g.validate(), 'Invalid curve'); ++ assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O'); ++} ++curves.PresetCurve = PresetCurve; ++ ++function defineCurve(name, options) { ++ Object.defineProperty(curves, name, { ++ configurable: true, ++ enumerable: true, ++ get: function() { ++ var curve = new PresetCurve(options); ++ Object.defineProperty(curves, name, { ++ configurable: true, ++ enumerable: true, ++ value: curve ++ }); ++ return curve; ++ } ++ }); ++} ++ ++defineCurve('p192', { ++ type: 'short', ++ prime: 'p192', ++ p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff', ++ a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc', ++ b: '64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1', ++ n: 'ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831', ++ hash: hash.sha256, ++ gRed: false, ++ g: [ ++ '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012', ++ '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811' ++ ] ++}); ++ ++defineCurve('p224', { ++ type: 'short', ++ prime: 'p224', ++ p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001', ++ a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe', ++ b: 'b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4', ++ n: 'ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d', ++ hash: hash.sha256, ++ gRed: false, ++ g: [ ++ 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21', ++ 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34' ++ ] ++}); ++ ++defineCurve('p256', { ++ type: 'short', ++ prime: null, ++ p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff', ++ a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc', ++ b: '5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b', ++ n: 'ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551', ++ hash: hash.sha256, ++ gRed: false, ++ g: [ ++ '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296', ++ '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5' ++ ] ++}); ++ ++defineCurve('p384', { ++ type: 'short', ++ prime: null, ++ p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + ++ 'fffffffe ffffffff 00000000 00000000 ffffffff', ++ a: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + ++ 'fffffffe ffffffff 00000000 00000000 fffffffc', ++ b: 'b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f ' + ++ '5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef', ++ n: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 ' + ++ 'f4372ddf 581a0db2 48b0a77a ecec196a ccc52973', ++ hash: hash.sha384, ++ gRed: false, ++ g: [ ++ 'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' + ++ '5502f25d bf55296c 3a545e38 72760ab7', ++ '3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' + ++ '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f' ++ ] ++}); ++ ++defineCurve('p521', { ++ type: 'short', ++ prime: null, ++ p: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + ++ 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + ++ 'ffffffff ffffffff ffffffff ffffffff ffffffff', ++ a: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + ++ 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + ++ 'ffffffff ffffffff ffffffff ffffffff fffffffc', ++ b: '00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b ' + ++ '99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd ' + ++ '3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00', ++ n: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + ++ 'ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 ' + ++ 'f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409', ++ hash: hash.sha512, ++ gRed: false, ++ g: [ ++ '000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 ' + ++ '053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 ' + ++ 'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66', ++ '00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' + ++ '579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' + ++ '3fad0761 353c7086 a272c240 88be9476 9fd16650' ++ ] ++}); ++ ++defineCurve('curve25519', { ++ type: 'mont', ++ prime: 'p25519', ++ p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed', ++ a: '76d06', ++ b: '0', ++ n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed', ++ hash: hash.sha256, ++ gRed: false, ++ g: [ ++ '9' ++ ] ++}); ++ ++defineCurve('ed25519', { ++ type: 'edwards', ++ prime: 'p25519', ++ p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed', ++ a: '-1', ++ c: '1', ++ // -121665 * (121666^(-1)) (mod P) ++ d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3', ++ n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed', ++ hash: hash.sha256, ++ gRed: false, ++ g: [ ++ '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a', ++ ++ // 4/5 ++ '6666666666666666666666666666666666666666666666666666666666666658' ++ ] ++}); ++ ++var pre; ++try { ++ pre = require('./precomputed/secp256k1'); ++} catch (e) { ++ pre = undefined; ++} ++ ++defineCurve('secp256k1', { ++ type: 'short', ++ prime: 'k256', ++ p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f', ++ a: '0', ++ b: '7', ++ n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141', ++ h: '1', ++ hash: hash.sha256, ++ ++ // Precomputed endomorphism ++ beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee', ++ lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72', ++ basis: [ ++ { ++ a: '3086d221a7d46bcde86c90e49284eb15', ++ b: '-e4437ed6010e88286f547fa90abfe4c3' ++ }, ++ { ++ a: '114ca50f7a8e2f3f657c1108d9d44cfd8', ++ b: '3086d221a7d46bcde86c90e49284eb15' ++ } ++ ], ++ ++ gRed: false, ++ g: [ ++ '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', ++ '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', ++ pre ++ ] ++}); ++ ++},{"../elliptic":2,"./precomputed/secp256k1":16,"hash.js":19}],9:[function(require,module,exports){ ++'use strict'; ++ ++var BN = require('bn.js'); ++var elliptic = require('../../elliptic'); ++var utils = elliptic.utils; ++var assert = utils.assert; ++ ++var KeyPair = require('./key'); ++var Signature = require('./signature'); ++ ++function EC(options) { ++ if (!(this instanceof EC)) ++ return new EC(options); ++ ++ // Shortcut `elliptic.ec(curve-name)` ++ if (typeof options === 'string') { ++ assert(elliptic.curves.hasOwnProperty(options), 'Unknown curve ' + options); ++ ++ options = elliptic.curves[options]; ++ } ++ ++ // Shortcut for `elliptic.ec(elliptic.curves.curveName)` ++ if (options instanceof elliptic.curves.PresetCurve) ++ options = { curve: options }; ++ ++ this.curve = options.curve.curve; ++ this.n = this.curve.n; ++ this.nh = this.n.ushrn(1); ++ this.g = this.curve.g; ++ ++ // Point on curve ++ this.g = options.curve.g; ++ this.g.precompute(options.curve.n.bitLength() + 1); ++ ++ // Hash for function for DRBG ++ this.hash = options.hash || options.curve.hash; ++} ++module.exports = EC; ++ ++EC.prototype.keyPair = function keyPair(options) { ++ return new KeyPair(this, options); ++}; ++ ++EC.prototype.keyFromPrivate = function keyFromPrivate(priv, enc) { ++ return KeyPair.fromPrivate(this, priv, enc); ++}; ++ ++EC.prototype.keyFromPublic = function keyFromPublic(pub, enc) { ++ return KeyPair.fromPublic(this, pub, enc); ++}; ++ ++EC.prototype.genKeyPair = function genKeyPair(options) { ++ if (!options) ++ options = {}; ++ ++ // Instantiate Hmac_DRBG ++ var drbg = new elliptic.hmacDRBG({ ++ hash: this.hash, ++ pers: options.pers, ++ entropy: options.entropy || elliptic.rand(this.hash.hmacStrength), ++ nonce: this.n.toArray() ++ }); ++ ++ var bytes = this.n.byteLength(); ++ var ns2 = this.n.sub(new BN(2)); ++ do { ++ var priv = new BN(drbg.generate(bytes)); ++ if (priv.cmp(ns2) > 0) ++ continue; ++ ++ priv.iaddn(1); ++ return this.keyFromPrivate(priv); ++ } while (true); ++}; ++ ++EC.prototype._truncateToN = function truncateToN(msg, truncOnly) { ++ var delta = msg.byteLength() * 8 - this.n.bitLength(); ++ if (delta > 0) ++ msg = msg.ushrn(delta); ++ if (!truncOnly && msg.cmp(this.n) >= 0) ++ return msg.sub(this.n); ++ else ++ return msg; ++}; ++ ++EC.prototype.sign = function sign(msg, key, enc, options) { ++ if (typeof enc === 'object') { ++ options = enc; ++ enc = null; ++ } ++ if (!options) ++ options = {}; ++ ++ key = this.keyFromPrivate(key, enc); ++ msg = this._truncateToN(new BN(msg, 16)); ++ ++ // Zero-extend key to provide enough entropy ++ var bytes = this.n.byteLength(); ++ var bkey = key.getPrivate().toArray('be', bytes); ++ ++ // Zero-extend nonce to have the same byte size as N ++ var nonce = msg.toArray('be', bytes); ++ ++ // Instantiate Hmac_DRBG ++ var drbg = new elliptic.hmacDRBG({ ++ hash: this.hash, ++ entropy: bkey, ++ nonce: nonce, ++ pers: options.pers, ++ persEnc: options.persEnc ++ }); ++ ++ // Number of bytes to generate ++ var ns1 = this.n.sub(new BN(1)); ++ ++ for (var iter = 0; true; iter++) { ++ var k = options.k ? ++ options.k(iter) : ++ new BN(drbg.generate(this.n.byteLength())); ++ k = this._truncateToN(k, true); ++ if (k.cmpn(1) <= 0 || k.cmp(ns1) >= 0) ++ continue; ++ ++ var kp = this.g.mul(k); ++ if (kp.isInfinity()) ++ continue; ++ ++ var kpX = kp.getX(); ++ var r = kpX.umod(this.n); ++ if (r.cmpn(0) === 0) ++ continue; ++ ++ var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg)); ++ s = s.umod(this.n); ++ if (s.cmpn(0) === 0) ++ continue; ++ ++ var recoveryParam = (kp.getY().isOdd() ? 1 : 0) | ++ (kpX.cmp(r) !== 0 ? 2 : 0); ++ ++ // Use complement of `s`, if it is > `n / 2` ++ if (options.canonical && s.cmp(this.nh) > 0) { ++ s = this.n.sub(s); ++ recoveryParam ^= 1; ++ } ++ ++ return new Signature({ r: r, s: s, recoveryParam: recoveryParam }); ++ } ++}; ++ ++EC.prototype.verify = function verify(msg, signature, key, enc) { ++ msg = this._truncateToN(new BN(msg, 16)); ++ key = this.keyFromPublic(key, enc); ++ signature = new Signature(signature, 'hex'); ++ ++ // Perform primitive values validation ++ var r = signature.r; ++ var s = signature.s; ++ if (r.cmpn(1) < 0 || r.cmp(this.n) >= 0) ++ return false; ++ if (s.cmpn(1) < 0 || s.cmp(this.n) >= 0) ++ return false; ++ ++ // Validate signature ++ var sinv = s.invm(this.n); ++ var u1 = sinv.mul(msg).umod(this.n); ++ var u2 = sinv.mul(r).umod(this.n); ++ ++ if (!this.curve._maxwellTrick) { ++ var p = this.g.mulAdd(u1, key.getPublic(), u2); ++ if (p.isInfinity()) ++ return false; ++ ++ return p.getX().umod(this.n).cmp(r) === 0; ++ } ++ ++ // NOTE: Greg Maxwell's trick, inspired by: ++ // https://git.io/vad3K ++ ++ var p = this.g.jmulAdd(u1, key.getPublic(), u2); ++ if (p.isInfinity()) ++ return false; ++ ++ // Compare `p.x` of Jacobian point with `r`, ++ // this will do `p.x == r * p.z^2` instead of multiplying `p.x` by the ++ // inverse of `p.z^2` ++ return p.eqXToP(r); ++}; ++ ++EC.prototype.recoverPubKey = function(msg, signature, j, enc) { ++ assert((3 & j) === j, 'The recovery param is more than two bits'); ++ signature = new Signature(signature, enc); ++ ++ var n = this.n; ++ var e = new BN(msg); ++ var r = signature.r; ++ var s = signature.s; ++ ++ // A set LSB signifies that the y-coordinate is odd ++ var isYOdd = j & 1; ++ var isSecondKey = j >> 1; ++ if (r.cmp(this.curve.p.umod(this.curve.n)) >= 0 && isSecondKey) ++ throw new Error('Unable to find sencond key candinate'); ++ ++ // 1.1. Let x = r + jn. ++ if (isSecondKey) ++ r = this.curve.pointFromX(r.add(this.curve.n), isYOdd); ++ else ++ r = this.curve.pointFromX(r, isYOdd); ++ ++ var rInv = signature.r.invm(n); ++ var s1 = n.sub(e).mul(rInv).umod(n); ++ var s2 = s.mul(rInv).umod(n); ++ ++ // 1.6.1 Compute Q = r^-1 (sR - eG) ++ // Q = r^-1 (sR + -eG) ++ return this.g.mulAdd(s1, r, s2); ++}; ++ ++EC.prototype.getKeyRecoveryParam = function(e, signature, Q, enc) { ++ signature = new Signature(signature, enc); ++ if (signature.recoveryParam !== null) ++ return signature.recoveryParam; ++ ++ for (var i = 0; i < 4; i++) { ++ var Qprime; ++ try { ++ Qprime = this.recoverPubKey(e, signature, i); ++ } catch (e) { ++ continue; ++ } ++ ++ if (Qprime.eq(Q)) ++ return i; ++ } ++ throw new Error('Unable to find valid recovery factor'); ++}; ++ ++},{"../../elliptic":2,"./key":10,"./signature":11,"bn.js":1}],10:[function(require,module,exports){ ++'use strict'; ++ ++var BN = require('bn.js'); ++ ++function KeyPair(ec, options) { ++ this.ec = ec; ++ this.priv = null; ++ this.pub = null; ++ ++ // KeyPair(ec, { priv: ..., pub: ... }) ++ if (options.priv) ++ this._importPrivate(options.priv, options.privEnc); ++ if (options.pub) ++ this._importPublic(options.pub, options.pubEnc); ++} ++module.exports = KeyPair; ++ ++KeyPair.fromPublic = function fromPublic(ec, pub, enc) { ++ if (pub instanceof KeyPair) ++ return pub; ++ ++ return new KeyPair(ec, { ++ pub: pub, ++ pubEnc: enc ++ }); ++}; ++ ++KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) { ++ if (priv instanceof KeyPair) ++ return priv; ++ ++ return new KeyPair(ec, { ++ priv: priv, ++ privEnc: enc ++ }); ++}; ++ ++KeyPair.prototype.validate = function validate() { ++ var pub = this.getPublic(); ++ ++ if (pub.isInfinity()) ++ return { result: false, reason: 'Invalid public key' }; ++ if (!pub.validate()) ++ return { result: false, reason: 'Public key is not a point' }; ++ if (!pub.mul(this.ec.curve.n).isInfinity()) ++ return { result: false, reason: 'Public key * N != O' }; ++ ++ return { result: true, reason: null }; ++}; ++ ++KeyPair.prototype.getPublic = function getPublic(compact, enc) { ++ // compact is optional argument ++ if (typeof compact === 'string') { ++ enc = compact; ++ compact = null; ++ } ++ ++ if (!this.pub) ++ this.pub = this.ec.g.mul(this.priv); ++ ++ if (!enc) ++ return this.pub; ++ ++ return this.pub.encode(enc, compact); ++}; ++ ++KeyPair.prototype.getPrivate = function getPrivate(enc) { ++ if (enc === 'hex') ++ return this.priv.toString(16, 2); ++ else ++ return this.priv; ++}; ++ ++KeyPair.prototype._importPrivate = function _importPrivate(key, enc) { ++ this.priv = new BN(key, enc || 16); ++ ++ // Ensure that the priv won't be bigger than n, otherwise we may fail ++ // in fixed multiplication method ++ this.priv = this.priv.umod(this.ec.curve.n); ++}; ++ ++KeyPair.prototype._importPublic = function _importPublic(key, enc) { ++ if (key.x || key.y) { ++ this.pub = this.ec.curve.point(key.x, key.y); ++ return; ++ } ++ this.pub = this.ec.curve.decodePoint(key, enc); ++}; ++ ++// ECDH ++KeyPair.prototype.derive = function derive(pub) { ++ return pub.mul(this.priv).getX(); ++}; ++ ++// ECDSA ++KeyPair.prototype.sign = function sign(msg, enc, options) { ++ return this.ec.sign(msg, this, enc, options); ++}; ++ ++KeyPair.prototype.verify = function verify(msg, signature) { ++ return this.ec.verify(msg, signature, this); ++}; ++ ++KeyPair.prototype.inspect = function inspect() { ++ return '<Key priv: ' + (this.priv && this.priv.toString(16, 2)) + ++ ' pub: ' + (this.pub && this.pub.inspect()) + ' >'; ++}; ++ ++},{"bn.js":1}],11:[function(require,module,exports){ ++'use strict'; ++ ++var BN = require('bn.js'); ++ ++var elliptic = require('../../elliptic'); ++var utils = elliptic.utils; ++var assert = utils.assert; ++ ++function Signature(options, enc) { ++ if (options instanceof Signature) ++ return options; ++ ++ if (this._importDER(options, enc)) ++ return; ++ ++ assert(options.r && options.s, 'Signature without r or s'); ++ this.r = new BN(options.r, 16); ++ this.s = new BN(options.s, 16); ++ if (options.recoveryParam === undefined) ++ this.recoveryParam = null; ++ else ++ this.recoveryParam = options.recoveryParam; ++} ++module.exports = Signature; ++ ++function Position() { ++ this.place = 0; ++} ++ ++function getLength(buf, p) { ++ var initial = buf[p.place++]; ++ if (!(initial & 0x80)) { ++ return initial; ++ } ++ var octetLen = initial & 0xf; ++ var val = 0; ++ for (var i = 0, off = p.place; i < octetLen; i++, off++) { ++ val <<= 8; ++ val |= buf[off]; ++ } ++ p.place = off; ++ return val; ++} ++ ++function rmPadding(buf) { ++ var i = 0; ++ var len = buf.length - 1; ++ while (!buf[i] && !(buf[i + 1] & 0x80) && i < len) { ++ i++; ++ } ++ if (i === 0) { ++ return buf; ++ } ++ return buf.slice(i); ++} ++ ++Signature.prototype._importDER = function _importDER(data, enc) { ++ data = utils.toArray(data, enc); ++ var p = new Position(); ++ if (data[p.place++] !== 0x30) { ++ return false; ++ } ++ var len = getLength(data, p); ++ if ((len + p.place) !== data.length) { ++ return false; ++ } ++ if (data[p.place++] !== 0x02) { ++ return false; ++ } ++ var rlen = getLength(data, p); ++ var r = data.slice(p.place, rlen + p.place); ++ p.place += rlen; ++ if (data[p.place++] !== 0x02) { ++ return false; ++ } ++ var slen = getLength(data, p); ++ if (data.length !== slen + p.place) { ++ return false; ++ } ++ var s = data.slice(p.place, slen + p.place); ++ if (r[0] === 0 && (r[1] & 0x80)) { ++ r = r.slice(1); ++ } ++ if (s[0] === 0 && (s[1] & 0x80)) { ++ s = s.slice(1); ++ } ++ ++ this.r = new BN(r); ++ this.s = new BN(s); ++ this.recoveryParam = null; ++ ++ return true; ++}; ++ ++function constructLength(arr, len) { ++ if (len < 0x80) { ++ arr.push(len); ++ return; ++ } ++ var octets = 1 + (Math.log(len) / Math.LN2 >>> 3); ++ arr.push(octets | 0x80); ++ while (--octets) { ++ arr.push((len >>> (octets << 3)) & 0xff); ++ } ++ arr.push(len); ++} ++ ++Signature.prototype.toDER = function toDER(enc) { ++ var r = this.r.toArray(); ++ var s = this.s.toArray(); ++ ++ // Pad values ++ if (r[0] & 0x80) ++ r = [ 0 ].concat(r); ++ // Pad values ++ if (s[0] & 0x80) ++ s = [ 0 ].concat(s); ++ ++ r = rmPadding(r); ++ s = rmPadding(s); ++ ++ while (!s[0] && !(s[1] & 0x80)) { ++ s = s.slice(1); ++ } ++ var arr = [ 0x02 ]; ++ constructLength(arr, r.length); ++ arr = arr.concat(r); ++ arr.push(0x02); ++ constructLength(arr, s.length); ++ var backHalf = arr.concat(s); ++ var res = [ 0x30 ]; ++ constructLength(res, backHalf.length); ++ res = res.concat(backHalf); ++ return utils.encode(res, enc); ++}; ++ ++},{"../../elliptic":2,"bn.js":1}],12:[function(require,module,exports){ ++'use strict'; ++ ++var hash = require('hash.js'); ++var elliptic = require('../../elliptic'); ++var utils = elliptic.utils; ++var assert = utils.assert; ++var parseBytes = utils.parseBytes; ++var KeyPair = require('./key'); ++var Signature = require('./signature'); ++ ++function EDDSA(curve) { ++ assert(curve === 'ed25519', 'only tested with ed25519 so far'); ++ ++ if (!(this instanceof EDDSA)) ++ return new EDDSA(curve); ++ ++ var curve = elliptic.curves[curve].curve; ++ this.curve = curve; ++ this.g = curve.g; ++ this.g.precompute(curve.n.bitLength() + 1); ++ ++ this.pointClass = curve.point().constructor; ++ this.encodingLength = Math.ceil(curve.n.bitLength() / 8); ++ this.hash = hash.sha512; ++} ++ ++module.exports = EDDSA; ++ ++/** ++* @param {Array|String} message - message bytes ++* @param {Array|String|KeyPair} secret - secret bytes or a keypair ++* @returns {Signature} - signature ++*/ ++EDDSA.prototype.sign = function sign(message, secret) { ++ message = parseBytes(message); ++ var key = this.keyFromSecret(secret); ++ var r = this.hashInt(key.messagePrefix(), message); ++ var R = this.g.mul(r); ++ var Rencoded = this.encodePoint(R); ++ var s_ = this.hashInt(Rencoded, key.pubBytes(), message) ++ .mul(key.priv()); ++ var S = r.add(s_).umod(this.curve.n); ++ return this.makeSignature({ R: R, S: S, Rencoded: Rencoded }); ++}; ++ ++/** ++* @param {Array} message - message bytes ++* @param {Array|String|Signature} sig - sig bytes ++* @param {Array|String|Point|KeyPair} pub - public key ++* @returns {Boolean} - true if public key matches sig of message ++*/ ++EDDSA.prototype.verify = function verify(message, sig, pub) { ++ message = parseBytes(message); ++ sig = this.makeSignature(sig); ++ var key = this.keyFromPublic(pub); ++ var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message); ++ var SG = this.g.mul(sig.S()); ++ var RplusAh = sig.R().add(key.pub().mul(h)); ++ return RplusAh.eq(SG); ++}; ++ ++EDDSA.prototype.hashInt = function hashInt() { ++ var hash = this.hash(); ++ for (var i = 0; i < arguments.length; i++) ++ hash.update(arguments[i]); ++ return utils.intFromLE(hash.digest()).umod(this.curve.n); ++}; ++ ++EDDSA.prototype.keyFromPublic = function keyFromPublic(pub) { ++ return KeyPair.fromPublic(this, pub); ++}; ++ ++EDDSA.prototype.keyFromSecret = function keyFromSecret(secret) { ++ return KeyPair.fromSecret(this, secret); ++}; ++ ++EDDSA.prototype.makeSignature = function makeSignature(sig) { ++ if (sig instanceof Signature) ++ return sig; ++ return new Signature(this, sig); ++}; ++ ++/** ++* * https://tools.ietf.org/html/draft-josefsson-eddsa-ed25519-03#section-5.2 ++* ++* EDDSA defines methods for encoding and decoding points and integers. These are ++* helper convenience methods, that pass along to utility functions implied ++* parameters. ++* ++*/ ++EDDSA.prototype.encodePoint = function encodePoint(point) { ++ var enc = point.getY().toArray('le', this.encodingLength); ++ enc[this.encodingLength - 1] |= point.getX().isOdd() ? 0x80 : 0; ++ return enc; ++}; ++ ++EDDSA.prototype.decodePoint = function decodePoint(bytes) { ++ bytes = utils.parseBytes(bytes); ++ ++ var lastIx = bytes.length - 1; ++ var normed = bytes.slice(0, lastIx).concat(bytes[lastIx] & ~0x80); ++ var xIsOdd = (bytes[lastIx] & 0x80) !== 0; ++ ++ var y = utils.intFromLE(normed); ++ return this.curve.pointFromY(y, xIsOdd); ++}; ++ ++EDDSA.prototype.encodeInt = function encodeInt(num) { ++ return num.toArray('le', this.encodingLength); ++}; ++ ++EDDSA.prototype.decodeInt = function decodeInt(bytes) { ++ return utils.intFromLE(bytes); ++}; ++ ++EDDSA.prototype.isPoint = function isPoint(val) { ++ return val instanceof this.pointClass; ++}; ++ ++},{"../../elliptic":2,"./key":13,"./signature":14,"hash.js":19}],13:[function(require,module,exports){ ++'use strict'; ++ ++var elliptic = require('../../elliptic'); ++var utils = elliptic.utils; ++var assert = utils.assert; ++var parseBytes = utils.parseBytes; ++var cachedProperty = utils.cachedProperty; ++ ++/** ++* @param {EDDSA} eddsa - instance ++* @param {Object} params - public/private key parameters ++* ++* @param {Array<Byte>} [params.secret] - secret seed bytes ++* @param {Point} [params.pub] - public key point (aka `A` in eddsa terms) ++* @param {Array<Byte>} [params.pub] - public key point encoded as bytes ++* ++*/ ++function KeyPair(eddsa, params) { ++ this.eddsa = eddsa; ++ this._secret = parseBytes(params.secret); ++ if (eddsa.isPoint(params.pub)) ++ this._pub = params.pub; ++ else ++ this._pubBytes = parseBytes(params.pub); ++} ++ ++KeyPair.fromPublic = function fromPublic(eddsa, pub) { ++ if (pub instanceof KeyPair) ++ return pub; ++ return new KeyPair(eddsa, { pub: pub }); ++}; ++ ++KeyPair.fromSecret = function fromSecret(eddsa, secret) { ++ if (secret instanceof KeyPair) ++ return secret; ++ return new KeyPair(eddsa, { secret: secret }); ++}; ++ ++KeyPair.prototype.secret = function secret() { ++ return this._secret; ++}; ++ ++cachedProperty(KeyPair, 'pubBytes', function pubBytes() { ++ return this.eddsa.encodePoint(this.pub()); ++}); ++ ++cachedProperty(KeyPair, 'pub', function pub() { ++ if (this._pubBytes) ++ return this.eddsa.decodePoint(this._pubBytes); ++ return this.eddsa.g.mul(this.priv()); ++}); ++ ++cachedProperty(KeyPair, 'privBytes', function privBytes() { ++ var eddsa = this.eddsa; ++ var hash = this.hash(); ++ var lastIx = eddsa.encodingLength - 1; ++ ++ var a = hash.slice(0, eddsa.encodingLength); ++ a[0] &= 248; ++ a[lastIx] &= 127; ++ a[lastIx] |= 64; ++ ++ return a; ++}); ++ ++cachedProperty(KeyPair, 'priv', function priv() { ++ return this.eddsa.decodeInt(this.privBytes()); ++}); ++ ++cachedProperty(KeyPair, 'hash', function hash() { ++ return this.eddsa.hash().update(this.secret()).digest(); ++}); ++ ++cachedProperty(KeyPair, 'messagePrefix', function messagePrefix() { ++ return this.hash().slice(this.eddsa.encodingLength); ++}); ++ ++KeyPair.prototype.sign = function sign(message) { ++ assert(this._secret, 'KeyPair can only verify'); ++ return this.eddsa.sign(message, this); ++}; ++ ++KeyPair.prototype.verify = function verify(message, sig) { ++ return this.eddsa.verify(message, sig, this); ++}; ++ ++KeyPair.prototype.getSecret = function getSecret(enc) { ++ assert(this._secret, 'KeyPair is public only'); ++ return utils.encode(this.secret(), enc); ++}; ++ ++KeyPair.prototype.getPublic = function getPublic(enc) { ++ return utils.encode(this.pubBytes(), enc); ++}; ++ ++module.exports = KeyPair; ++ ++},{"../../elliptic":2}],14:[function(require,module,exports){ ++'use strict'; ++ ++var BN = require('bn.js'); ++var elliptic = require('../../elliptic'); ++var utils = elliptic.utils; ++var assert = utils.assert; ++var cachedProperty = utils.cachedProperty; ++var parseBytes = utils.parseBytes; ++ ++/** ++* @param {EDDSA} eddsa - eddsa instance ++* @param {Array<Bytes>|Object} sig - ++* @param {Array<Bytes>|Point} [sig.R] - R point as Point or bytes ++* @param {Array<Bytes>|bn} [sig.S] - S scalar as bn or bytes ++* @param {Array<Bytes>} [sig.Rencoded] - R point encoded ++* @param {Array<Bytes>} [sig.Sencoded] - S scalar encoded ++*/ ++function Signature(eddsa, sig) { ++ this.eddsa = eddsa; ++ ++ if (typeof sig !== 'object') ++ sig = parseBytes(sig); ++ ++ if (Array.isArray(sig)) { ++ sig = { ++ R: sig.slice(0, eddsa.encodingLength), ++ S: sig.slice(eddsa.encodingLength) ++ }; ++ } ++ ++ assert(sig.R && sig.S, 'Signature without R or S'); ++ ++ if (eddsa.isPoint(sig.R)) ++ this._R = sig.R; ++ if (sig.S instanceof BN) ++ this._S = sig.S; ++ ++ this._Rencoded = Array.isArray(sig.R) ? sig.R : sig.Rencoded; ++ this._Sencoded = Array.isArray(sig.S) ? sig.S : sig.Sencoded; ++} ++ ++cachedProperty(Signature, 'S', function S() { ++ return this.eddsa.decodeInt(this.Sencoded()); ++}); ++ ++cachedProperty(Signature, 'R', function R() { ++ return this.eddsa.decodePoint(this.Rencoded()); ++}); ++ ++cachedProperty(Signature, 'Rencoded', function Rencoded() { ++ return this.eddsa.encodePoint(this.R()); ++}); ++ ++cachedProperty(Signature, 'Sencoded', function Sencoded() { ++ return this.eddsa.encodeInt(this.S()); ++}); ++ ++Signature.prototype.toBytes = function toBytes() { ++ return this.Rencoded().concat(this.Sencoded()); ++}; ++ ++Signature.prototype.toHex = function toHex() { ++ return utils.encode(this.toBytes(), 'hex').toUpperCase(); ++}; ++ ++module.exports = Signature; ++ ++},{"../../elliptic":2,"bn.js":1}],15:[function(require,module,exports){ ++'use strict'; ++ ++var hash = require('hash.js'); ++var elliptic = require('../elliptic'); ++var utils = elliptic.utils; ++var assert = utils.assert; ++ ++function HmacDRBG(options) { ++ if (!(this instanceof HmacDRBG)) ++ return new HmacDRBG(options); ++ this.hash = options.hash; ++ this.predResist = !!options.predResist; ++ ++ this.outLen = this.hash.outSize; ++ this.minEntropy = options.minEntropy || this.hash.hmacStrength; ++ ++ this.reseed = null; ++ this.reseedInterval = null; ++ this.K = null; ++ this.V = null; ++ ++ var entropy = utils.toArray(options.entropy, options.entropyEnc); ++ var nonce = utils.toArray(options.nonce, options.nonceEnc); ++ var pers = utils.toArray(options.pers, options.persEnc); ++ assert(entropy.length >= (this.minEntropy / 8), ++ 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); ++ this._init(entropy, nonce, pers); ++} ++module.exports = HmacDRBG; ++ ++HmacDRBG.prototype._init = function init(entropy, nonce, pers) { ++ var seed = entropy.concat(nonce).concat(pers); ++ ++ this.K = new Array(this.outLen / 8); ++ this.V = new Array(this.outLen / 8); ++ for (var i = 0; i < this.V.length; i++) { ++ this.K[i] = 0x00; ++ this.V[i] = 0x01; ++ } ++ ++ this._update(seed); ++ this.reseed = 1; ++ this.reseedInterval = 0x1000000000000; // 2^48 ++}; ++ ++HmacDRBG.prototype._hmac = function hmac() { ++ return new hash.hmac(this.hash, this.K); ++}; ++ ++HmacDRBG.prototype._update = function update(seed) { ++ var kmac = this._hmac() ++ .update(this.V) ++ .update([ 0x00 ]); ++ if (seed) ++ kmac = kmac.update(seed); ++ this.K = kmac.digest(); ++ this.V = this._hmac().update(this.V).digest(); ++ if (!seed) ++ return; ++ ++ this.K = this._hmac() ++ .update(this.V) ++ .update([ 0x01 ]) ++ .update(seed) ++ .digest(); ++ this.V = this._hmac().update(this.V).digest(); ++}; ++ ++HmacDRBG.prototype.reseed = function reseed(entropy, entropyEnc, add, addEnc) { ++ // Optional entropy enc ++ if (typeof entropyEnc !== 'string') { ++ addEnc = add; ++ add = entropyEnc; ++ entropyEnc = null; ++ } ++ ++ entropy = utils.toBuffer(entropy, entropyEnc); ++ add = utils.toBuffer(add, addEnc); ++ ++ assert(entropy.length >= (this.minEntropy / 8), ++ 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); ++ ++ this._update(entropy.concat(add || [])); ++ this.reseed = 1; ++}; ++ ++HmacDRBG.prototype.generate = function generate(len, enc, add, addEnc) { ++ if (this.reseed > this.reseedInterval) ++ throw new Error('Reseed is required'); ++ ++ // Optional encoding ++ if (typeof enc !== 'string') { ++ addEnc = add; ++ add = enc; ++ enc = null; ++ } ++ ++ // Optional additional data ++ if (add) { ++ add = utils.toArray(add, addEnc); ++ this._update(add); ++ } ++ ++ var temp = []; ++ while (temp.length < len) { ++ this.V = this._hmac().update(this.V).digest(); ++ temp = temp.concat(this.V); ++ } ++ ++ var res = temp.slice(0, len); ++ this._update(add); ++ this.reseed++; ++ return utils.encode(res, enc); ++}; ++ ++},{"../elliptic":2,"hash.js":19}],16:[function(require,module,exports){ ++module.exports = { ++ doubles: { ++ step: 4, ++ points: [ ++ [ ++ 'e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a', ++ 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'ed8cc9d04b29eb877d270b4878dc43c19aefd31f4eee09ee7b47834c1fa4b1c3' ++ ], ++ [ ++ '75d46efea3771e6e68abb89a13ad747ecf1892393dfc4f1b7004788c50374da8', ++ '9852390a99507679fd0b86fd2b39a868d7efc22151346e1a3ca4726586a6bed8' ++ ], ++ [ ++ '809a20c67d64900ffb698c4c825f6d5f2310fb0451c869345b7319f645605721', ++ '9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1' ++ ], ++ [ ++ '1b38903a43f7f114ed4500b4eac7083fdefece1cf29c63528d563446f972c180', ++ '4036edc931a60ae889353f77fd53de4a2708b26b6f5da72ad3394119daf408f9' ++ ] ++ ] ++ } ++}; ++ ++},{}],17:[function(require,module,exports){ ++'use strict'; ++ ++var utils = exports; ++var BN = require('bn.js'); ++ ++utils.assert = function assert(val, msg) { ++ if (!val) ++ throw new Error(msg || 'Assertion failed'); ++}; ++ ++function toArray(msg, enc) { ++ if (Array.isArray(msg)) ++ return msg.slice(); ++ if (!msg) ++ return []; ++ var res = []; ++ if (typeof msg !== 'string') { ++ for (var i = 0; i < msg.length; i++) ++ res[i] = msg[i] | 0; ++ return res; ++ } ++ if (!enc) { ++ for (var i = 0; i < msg.length; i++) { ++ var c = msg.charCodeAt(i); ++ var hi = c >> 8; ++ var lo = c & 0xff; ++ if (hi) ++ res.push(hi, lo); ++ else ++ res.push(lo); ++ } ++ } else if (enc === 'hex') { ++ msg = msg.replace(/[^a-z0-9]+/ig, ''); ++ if (msg.length % 2 !== 0) ++ msg = '0' + msg; ++ for (var i = 0; i < msg.length; i += 2) ++ res.push(parseInt(msg[i] + msg[i + 1], 16)); ++ } ++ return res; ++} ++utils.toArray = toArray; ++ ++function zero2(word) { ++ if (word.length === 1) ++ return '0' + word; ++ else ++ return word; ++} ++utils.zero2 = zero2; ++ ++function toHex(msg) { ++ var res = ''; ++ for (var i = 0; i < msg.length; i++) ++ res += zero2(msg[i].toString(16)); ++ return res; ++} ++utils.toHex = toHex; ++ ++utils.encode = function encode(arr, enc) { ++ if (enc === 'hex') ++ return toHex(arr); ++ else ++ return arr; ++}; ++ ++// Represent num in a w-NAF form ++function getNAF(num, w) { ++ var naf = []; ++ var ws = 1 << (w + 1); ++ var k = num.clone(); ++ while (k.cmpn(1) >= 0) { ++ var z; ++ if (k.isOdd()) { ++ var mod = k.andln(ws - 1); ++ if (mod > (ws >> 1) - 1) ++ z = (ws >> 1) - mod; ++ else ++ z = mod; ++ k.isubn(z); ++ } else { ++ z = 0; ++ } ++ naf.push(z); ++ ++ // Optimization, shift by word if possible ++ var shift = (k.cmpn(0) !== 0 && k.andln(ws - 1) === 0) ? (w + 1) : 1; ++ for (var i = 1; i < shift; i++) ++ naf.push(0); ++ k.iushrn(shift); ++ } ++ ++ return naf; ++} ++utils.getNAF = getNAF; ++ ++// Represent k1, k2 in a Joint Sparse Form ++function getJSF(k1, k2) { ++ var jsf = [ ++ [], ++ [] ++ ]; ++ ++ k1 = k1.clone(); ++ k2 = k2.clone(); ++ var d1 = 0; ++ var d2 = 0; ++ while (k1.cmpn(-d1) > 0 || k2.cmpn(-d2) > 0) { ++ ++ // First phase ++ var m14 = (k1.andln(3) + d1) & 3; ++ var m24 = (k2.andln(3) + d2) & 3; ++ if (m14 === 3) ++ m14 = -1; ++ if (m24 === 3) ++ m24 = -1; ++ var u1; ++ if ((m14 & 1) === 0) { ++ u1 = 0; ++ } else { ++ var m8 = (k1.andln(7) + d1) & 7; ++ if ((m8 === 3 || m8 === 5) && m24 === 2) ++ u1 = -m14; ++ else ++ u1 = m14; ++ } ++ jsf[0].push(u1); ++ ++ var u2; ++ if ((m24 & 1) === 0) { ++ u2 = 0; ++ } else { ++ var m8 = (k2.andln(7) + d2) & 7; ++ if ((m8 === 3 || m8 === 5) && m14 === 2) ++ u2 = -m24; ++ else ++ u2 = m24; ++ } ++ jsf[1].push(u2); ++ ++ // Second phase ++ if (2 * d1 === u1 + 1) ++ d1 = 1 - d1; ++ if (2 * d2 === u2 + 1) ++ d2 = 1 - d2; ++ k1.iushrn(1); ++ k2.iushrn(1); ++ } ++ ++ return jsf; ++} ++utils.getJSF = getJSF; ++ ++function cachedProperty(obj, name, computer) { ++ var key = '_' + name; ++ obj.prototype[name] = function cachedProperty() { ++ return this[key] !== undefined ? this[key] : ++ this[key] = computer.call(this); ++ }; ++} ++utils.cachedProperty = cachedProperty; ++ ++function parseBytes(bytes) { ++ return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') : ++ bytes; ++} ++utils.parseBytes = parseBytes; ++ ++function intFromLE(bytes) { ++ return new BN(bytes, 'hex', 'le'); ++} ++utils.intFromLE = intFromLE; ++ ++ ++},{"bn.js":1}],18:[function(require,module,exports){ ++var r; ++ ++module.exports = function rand(len) { ++ if (!r) ++ r = new Rand(null); ++ ++ return r.generate(len); ++}; ++ ++function Rand(rand) { ++ this.rand = rand; ++} ++module.exports.Rand = Rand; ++ ++Rand.prototype.generate = function generate(len) { ++ return this._rand(len); ++}; ++ ++if (typeof window === 'object') { ++ if (window.crypto && window.crypto.getRandomValues) { ++ // Modern browsers ++ Rand.prototype._rand = function _rand(n) { ++ var arr = new Uint8Array(n); ++ window.crypto.getRandomValues(arr); ++ return arr; ++ }; ++ } else if (window.msCrypto && window.msCrypto.getRandomValues) { ++ // IE ++ Rand.prototype._rand = function _rand(n) { ++ var arr = new Uint8Array(n); ++ window.msCrypto.getRandomValues(arr); ++ return arr; ++ }; ++ } else { ++ // Old junk ++ Rand.prototype._rand = function() { ++ throw new Error('Not implemented yet'); ++ }; ++ } ++} else { ++ // Node.js or Web worker ++ try { ++ var crypto = require('cry' + 'pto'); ++ ++ Rand.prototype._rand = function _rand(n) { ++ return crypto.randomBytes(n); ++ }; ++ } catch (e) { ++ // Emulate crypto API using randy ++ Rand.prototype._rand = function _rand(n) { ++ var res = new Uint8Array(n); ++ for (var i = 0; i < res.length; i++) ++ res[i] = this.rand.getByte(); ++ return res; ++ }; ++ } ++} ++ ++},{}],19:[function(require,module,exports){ ++var hash = exports; ++ ++hash.utils = require('./hash/utils'); ++hash.common = require('./hash/common'); ++hash.sha = require('./hash/sha'); ++hash.ripemd = require('./hash/ripemd'); ++hash.hmac = require('./hash/hmac'); ++ ++// Proxy hash functions to the main object ++hash.sha1 = hash.sha.sha1; ++hash.sha256 = hash.sha.sha256; ++hash.sha224 = hash.sha.sha224; ++hash.sha384 = hash.sha.sha384; ++hash.sha512 = hash.sha.sha512; ++hash.ripemd160 = hash.ripemd.ripemd160; ++ ++},{"./hash/common":20,"./hash/hmac":21,"./hash/ripemd":22,"./hash/sha":23,"./hash/utils":24}],20:[function(require,module,exports){ ++var hash = require('../hash'); ++var utils = hash.utils; ++var assert = utils.assert; ++ ++function BlockHash() { ++ this.pending = null; ++ this.pendingTotal = 0; ++ this.blockSize = this.constructor.blockSize; ++ this.outSize = this.constructor.outSize; ++ this.hmacStrength = this.constructor.hmacStrength; ++ this.padLength = this.constructor.padLength / 8; ++ this.endian = 'big'; ++ ++ this._delta8 = this.blockSize / 8; ++ this._delta32 = this.blockSize / 32; ++} ++exports.BlockHash = BlockHash; ++ ++BlockHash.prototype.update = function update(msg, enc) { ++ // Convert message to array, pad it, and join into 32bit blocks ++ msg = utils.toArray(msg, enc); ++ if (!this.pending) ++ this.pending = msg; ++ else ++ this.pending = this.pending.concat(msg); ++ this.pendingTotal += msg.length; ++ ++ // Enough data, try updating ++ if (this.pending.length >= this._delta8) { ++ msg = this.pending; ++ ++ // Process pending data in blocks ++ var r = msg.length % this._delta8; ++ this.pending = msg.slice(msg.length - r, msg.length); ++ if (this.pending.length === 0) ++ this.pending = null; ++ ++ msg = utils.join32(msg, 0, msg.length - r, this.endian); ++ for (var i = 0; i < msg.length; i += this._delta32) ++ this._update(msg, i, i + this._delta32); ++ } ++ ++ return this; ++}; ++ ++BlockHash.prototype.digest = function digest(enc) { ++ this.update(this._pad()); ++ assert(this.pending === null); ++ ++ return this._digest(enc); ++}; ++ ++BlockHash.prototype._pad = function pad() { ++ var len = this.pendingTotal; ++ var bytes = this._delta8; ++ var k = bytes - ((len + this.padLength) % bytes); ++ var res = new Array(k + this.padLength); ++ res[0] = 0x80; ++ for (var i = 1; i < k; i++) ++ res[i] = 0; ++ ++ // Append length ++ len <<= 3; ++ if (this.endian === 'big') { ++ for (var t = 8; t < this.padLength; t++) ++ res[i++] = 0; ++ ++ res[i++] = 0; ++ res[i++] = 0; ++ res[i++] = 0; ++ res[i++] = 0; ++ res[i++] = (len >>> 24) & 0xff; ++ res[i++] = (len >>> 16) & 0xff; ++ res[i++] = (len >>> 8) & 0xff; ++ res[i++] = len & 0xff; ++ } else { ++ res[i++] = len & 0xff; ++ res[i++] = (len >>> 8) & 0xff; ++ res[i++] = (len >>> 16) & 0xff; ++ res[i++] = (len >>> 24) & 0xff; ++ res[i++] = 0; ++ res[i++] = 0; ++ res[i++] = 0; ++ res[i++] = 0; ++ ++ for (var t = 8; t < this.padLength; t++) ++ res[i++] = 0; ++ } ++ ++ return res; ++}; ++ ++},{"../hash":19}],21:[function(require,module,exports){ ++var hmac = exports; ++ ++var hash = require('../hash'); ++var utils = hash.utils; ++var assert = utils.assert; ++ ++function Hmac(hash, key, enc) { ++ if (!(this instanceof Hmac)) ++ return new Hmac(hash, key, enc); ++ this.Hash = hash; ++ this.blockSize = hash.blockSize / 8; ++ this.outSize = hash.outSize / 8; ++ this.inner = null; ++ this.outer = null; ++ ++ this._init(utils.toArray(key, enc)); ++} ++module.exports = Hmac; ++ ++Hmac.prototype._init = function init(key) { ++ // Shorten key, if needed ++ if (key.length > this.blockSize) ++ key = new this.Hash().update(key).digest(); ++ assert(key.length <= this.blockSize); ++ ++ // Add padding to key ++ for (var i = key.length; i < this.blockSize; i++) ++ key.push(0); ++ ++ for (var i = 0; i < key.length; i++) ++ key[i] ^= 0x36; ++ this.inner = new this.Hash().update(key); ++ ++ // 0x36 ^ 0x5c = 0x6a ++ for (var i = 0; i < key.length; i++) ++ key[i] ^= 0x6a; ++ this.outer = new this.Hash().update(key); ++}; ++ ++Hmac.prototype.update = function update(msg, enc) { ++ this.inner.update(msg, enc); ++ return this; ++}; ++ ++Hmac.prototype.digest = function digest(enc) { ++ this.outer.update(this.inner.digest()); ++ return this.outer.digest(enc); ++}; ++ ++},{"../hash":19}],22:[function(require,module,exports){ ++var hash = require('../hash'); ++var utils = hash.utils; ++ ++var rotl32 = utils.rotl32; ++var sum32 = utils.sum32; ++var sum32_3 = utils.sum32_3; ++var sum32_4 = utils.sum32_4; ++var BlockHash = hash.common.BlockHash; ++ ++function RIPEMD160() { ++ if (!(this instanceof RIPEMD160)) ++ return new RIPEMD160(); ++ ++ BlockHash.call(this); ++ ++ this.h = [ 0x67452301, 0xefcdab89, 0x98badcfe, 0x10325476, 0xc3d2e1f0 ]; ++ this.endian = 'little'; ++} ++utils.inherits(RIPEMD160, BlockHash); ++exports.ripemd160 = RIPEMD160; ++ ++RIPEMD160.blockSize = 512; ++RIPEMD160.outSize = 160; ++RIPEMD160.hmacStrength = 192; ++RIPEMD160.padLength = 64; ++ ++RIPEMD160.prototype._update = function update(msg, start) { ++ var A = this.h[0]; ++ var B = this.h[1]; ++ var C = this.h[2]; ++ var D = this.h[3]; ++ var E = this.h[4]; ++ var Ah = A; ++ var Bh = B; ++ var Ch = C; ++ var Dh = D; ++ var Eh = E; ++ for (var j = 0; j < 80; j++) { ++ var T = sum32( ++ rotl32( ++ sum32_4(A, f(j, B, C, D), msg[r[j] + start], K(j)), ++ s[j]), ++ E); ++ A = E; ++ E = D; ++ D = rotl32(C, 10); ++ C = B; ++ B = T; ++ T = sum32( ++ rotl32( ++ sum32_4(Ah, f(79 - j, Bh, Ch, Dh), msg[rh[j] + start], Kh(j)), ++ sh[j]), ++ Eh); ++ Ah = Eh; ++ Eh = Dh; ++ Dh = rotl32(Ch, 10); ++ Ch = Bh; ++ Bh = T; ++ } ++ T = sum32_3(this.h[1], C, Dh); ++ this.h[1] = sum32_3(this.h[2], D, Eh); ++ this.h[2] = sum32_3(this.h[3], E, Ah); ++ this.h[3] = sum32_3(this.h[4], A, Bh); ++ this.h[4] = sum32_3(this.h[0], B, Ch); ++ this.h[0] = T; ++}; ++ ++RIPEMD160.prototype._digest = function digest(enc) { ++ if (enc === 'hex') ++ return utils.toHex32(this.h, 'little'); ++ else ++ return utils.split32(this.h, 'little'); ++}; ++ ++function f(j, x, y, z) { ++ if (j <= 15) ++ return x ^ y ^ z; ++ else if (j <= 31) ++ return (x & y) | ((~x) & z); ++ else if (j <= 47) ++ return (x | (~y)) ^ z; ++ else if (j <= 63) ++ return (x & z) | (y & (~z)); ++ else ++ return x ^ (y | (~z)); ++} ++ ++function K(j) { ++ if (j <= 15) ++ return 0x00000000; ++ else if (j <= 31) ++ return 0x5a827999; ++ else if (j <= 47) ++ return 0x6ed9eba1; ++ else if (j <= 63) ++ return 0x8f1bbcdc; ++ else ++ return 0xa953fd4e; ++} ++ ++function Kh(j) { ++ if (j <= 15) ++ return 0x50a28be6; ++ else if (j <= 31) ++ return 0x5c4dd124; ++ else if (j <= 47) ++ return 0x6d703ef3; ++ else if (j <= 63) ++ return 0x7a6d76e9; ++ else ++ return 0x00000000; ++} ++ ++var r = [ ++ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, ++ 7, 4, 13, 1, 10, 6, 15, 3, 12, 0, 9, 5, 2, 14, 11, 8, ++ 3, 10, 14, 4, 9, 15, 8, 1, 2, 7, 0, 6, 13, 11, 5, 12, ++ 1, 9, 11, 10, 0, 8, 12, 4, 13, 3, 7, 15, 14, 5, 6, 2, ++ 4, 0, 5, 9, 7, 12, 2, 10, 14, 1, 3, 8, 11, 6, 15, 13 ++]; ++ ++var rh = [ ++ 5, 14, 7, 0, 9, 2, 11, 4, 13, 6, 15, 8, 1, 10, 3, 12, ++ 6, 11, 3, 7, 0, 13, 5, 10, 14, 15, 8, 12, 4, 9, 1, 2, ++ 15, 5, 1, 3, 7, 14, 6, 9, 11, 8, 12, 2, 10, 0, 4, 13, ++ 8, 6, 4, 1, 3, 11, 15, 0, 5, 12, 2, 13, 9, 7, 10, 14, ++ 12, 15, 10, 4, 1, 5, 8, 7, 6, 2, 13, 14, 0, 3, 9, 11 ++]; ++ ++var s = [ ++ 11, 14, 15, 12, 5, 8, 7, 9, 11, 13, 14, 15, 6, 7, 9, 8, ++ 7, 6, 8, 13, 11, 9, 7, 15, 7, 12, 15, 9, 11, 7, 13, 12, ++ 11, 13, 6, 7, 14, 9, 13, 15, 14, 8, 13, 6, 5, 12, 7, 5, ++ 11, 12, 14, 15, 14, 15, 9, 8, 9, 14, 5, 6, 8, 6, 5, 12, ++ 9, 15, 5, 11, 6, 8, 13, 12, 5, 12, 13, 14, 11, 8, 5, 6 ++]; ++ ++var sh = [ ++ 8, 9, 9, 11, 13, 15, 15, 5, 7, 7, 8, 11, 14, 14, 12, 6, ++ 9, 13, 15, 7, 12, 8, 9, 11, 7, 7, 12, 7, 6, 15, 13, 11, ++ 9, 7, 15, 11, 8, 6, 6, 14, 12, 13, 5, 14, 13, 13, 7, 5, ++ 15, 5, 8, 11, 14, 14, 6, 14, 6, 9, 12, 9, 12, 5, 15, 8, ++ 8, 5, 12, 9, 12, 5, 14, 6, 8, 13, 6, 5, 15, 13, 11, 11 ++]; ++ ++},{"../hash":19}],23:[function(require,module,exports){ ++var hash = require('../hash'); ++var utils = hash.utils; ++var assert = utils.assert; ++ ++var rotr32 = utils.rotr32; ++var rotl32 = utils.rotl32; ++var sum32 = utils.sum32; ++var sum32_4 = utils.sum32_4; ++var sum32_5 = utils.sum32_5; ++var rotr64_hi = utils.rotr64_hi; ++var rotr64_lo = utils.rotr64_lo; ++var shr64_hi = utils.shr64_hi; ++var shr64_lo = utils.shr64_lo; ++var sum64 = utils.sum64; ++var sum64_hi = utils.sum64_hi; ++var sum64_lo = utils.sum64_lo; ++var sum64_4_hi = utils.sum64_4_hi; ++var sum64_4_lo = utils.sum64_4_lo; ++var sum64_5_hi = utils.sum64_5_hi; ++var sum64_5_lo = utils.sum64_5_lo; ++var BlockHash = hash.common.BlockHash; ++ ++var sha256_K = [ ++ 0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, ++ 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5, ++ 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, ++ 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174, ++ 0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, ++ 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da, ++ 0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, ++ 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967, ++ 0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, ++ 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85, ++ 0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, ++ 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070, ++ 0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, ++ 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3, ++ 0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, ++ 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2 ++]; ++ ++var sha512_K = [ ++ 0x428a2f98, 0xd728ae22, 0x71374491, 0x23ef65cd, ++ 0xb5c0fbcf, 0xec4d3b2f, 0xe9b5dba5, 0x8189dbbc, ++ 0x3956c25b, 0xf348b538, 0x59f111f1, 0xb605d019, ++ 0x923f82a4, 0xaf194f9b, 0xab1c5ed5, 0xda6d8118, ++ 0xd807aa98, 0xa3030242, 0x12835b01, 0x45706fbe, ++ 0x243185be, 0x4ee4b28c, 0x550c7dc3, 0xd5ffb4e2, ++ 0x72be5d74, 0xf27b896f, 0x80deb1fe, 0x3b1696b1, ++ 0x9bdc06a7, 0x25c71235, 0xc19bf174, 0xcf692694, ++ 0xe49b69c1, 0x9ef14ad2, 0xefbe4786, 0x384f25e3, ++ 0x0fc19dc6, 0x8b8cd5b5, 0x240ca1cc, 0x77ac9c65, ++ 0x2de92c6f, 0x592b0275, 0x4a7484aa, 0x6ea6e483, ++ 0x5cb0a9dc, 0xbd41fbd4, 0x76f988da, 0x831153b5, ++ 0x983e5152, 0xee66dfab, 0xa831c66d, 0x2db43210, ++ 0xb00327c8, 0x98fb213f, 0xbf597fc7, 0xbeef0ee4, ++ 0xc6e00bf3, 0x3da88fc2, 0xd5a79147, 0x930aa725, ++ 0x06ca6351, 0xe003826f, 0x14292967, 0x0a0e6e70, ++ 0x27b70a85, 0x46d22ffc, 0x2e1b2138, 0x5c26c926, ++ 0x4d2c6dfc, 0x5ac42aed, 0x53380d13, 0x9d95b3df, ++ 0x650a7354, 0x8baf63de, 0x766a0abb, 0x3c77b2a8, ++ 0x81c2c92e, 0x47edaee6, 0x92722c85, 0x1482353b, ++ 0xa2bfe8a1, 0x4cf10364, 0xa81a664b, 0xbc423001, ++ 0xc24b8b70, 0xd0f89791, 0xc76c51a3, 0x0654be30, ++ 0xd192e819, 0xd6ef5218, 0xd6990624, 0x5565a910, ++ 0xf40e3585, 0x5771202a, 0x106aa070, 0x32bbd1b8, ++ 0x19a4c116, 0xb8d2d0c8, 0x1e376c08, 0x5141ab53, ++ 0x2748774c, 0xdf8eeb99, 0x34b0bcb5, 0xe19b48a8, ++ 0x391c0cb3, 0xc5c95a63, 0x4ed8aa4a, 0xe3418acb, ++ 0x5b9cca4f, 0x7763e373, 0x682e6ff3, 0xd6b2b8a3, ++ 0x748f82ee, 0x5defb2fc, 0x78a5636f, 0x43172f60, ++ 0x84c87814, 0xa1f0ab72, 0x8cc70208, 0x1a6439ec, ++ 0x90befffa, 0x23631e28, 0xa4506ceb, 0xde82bde9, ++ 0xbef9a3f7, 0xb2c67915, 0xc67178f2, 0xe372532b, ++ 0xca273ece, 0xea26619c, 0xd186b8c7, 0x21c0c207, ++ 0xeada7dd6, 0xcde0eb1e, 0xf57d4f7f, 0xee6ed178, ++ 0x06f067aa, 0x72176fba, 0x0a637dc5, 0xa2c898a6, ++ 0x113f9804, 0xbef90dae, 0x1b710b35, 0x131c471b, ++ 0x28db77f5, 0x23047d84, 0x32caab7b, 0x40c72493, ++ 0x3c9ebe0a, 0x15c9bebc, 0x431d67c4, 0x9c100d4c, ++ 0x4cc5d4be, 0xcb3e42b6, 0x597f299c, 0xfc657e2a, ++ 0x5fcb6fab, 0x3ad6faec, 0x6c44198c, 0x4a475817 ++]; ++ ++var sha1_K = [ ++ 0x5A827999, 0x6ED9EBA1, ++ 0x8F1BBCDC, 0xCA62C1D6 ++]; ++ ++function SHA256() { ++ if (!(this instanceof SHA256)) ++ return new SHA256(); ++ ++ BlockHash.call(this); ++ this.h = [ 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, ++ 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19 ]; ++ this.k = sha256_K; ++ this.W = new Array(64); ++} ++utils.inherits(SHA256, BlockHash); ++exports.sha256 = SHA256; ++ ++SHA256.blockSize = 512; ++SHA256.outSize = 256; ++SHA256.hmacStrength = 192; ++SHA256.padLength = 64; ++ ++SHA256.prototype._update = function _update(msg, start) { ++ var W = this.W; ++ ++ for (var i = 0; i < 16; i++) ++ W[i] = msg[start + i]; ++ for (; i < W.length; i++) ++ W[i] = sum32_4(g1_256(W[i - 2]), W[i - 7], g0_256(W[i - 15]), W[i - 16]); ++ ++ var a = this.h[0]; ++ var b = this.h[1]; ++ var c = this.h[2]; ++ var d = this.h[3]; ++ var e = this.h[4]; ++ var f = this.h[5]; ++ var g = this.h[6]; ++ var h = this.h[7]; ++ ++ assert(this.k.length === W.length); ++ for (var i = 0; i < W.length; i++) { ++ var T1 = sum32_5(h, s1_256(e), ch32(e, f, g), this.k[i], W[i]); ++ var T2 = sum32(s0_256(a), maj32(a, b, c)); ++ h = g; ++ g = f; ++ f = e; ++ e = sum32(d, T1); ++ d = c; ++ c = b; ++ b = a; ++ a = sum32(T1, T2); ++ } ++ ++ this.h[0] = sum32(this.h[0], a); ++ this.h[1] = sum32(this.h[1], b); ++ this.h[2] = sum32(this.h[2], c); ++ this.h[3] = sum32(this.h[3], d); ++ this.h[4] = sum32(this.h[4], e); ++ this.h[5] = sum32(this.h[5], f); ++ this.h[6] = sum32(this.h[6], g); ++ this.h[7] = sum32(this.h[7], h); ++}; ++ ++SHA256.prototype._digest = function digest(enc) { ++ if (enc === 'hex') ++ return utils.toHex32(this.h, 'big'); ++ else ++ return utils.split32(this.h, 'big'); ++}; ++ ++function SHA224() { ++ if (!(this instanceof SHA224)) ++ return new SHA224(); ++ ++ SHA256.call(this); ++ this.h = [ 0xc1059ed8, 0x367cd507, 0x3070dd17, 0xf70e5939, ++ 0xffc00b31, 0x68581511, 0x64f98fa7, 0xbefa4fa4 ]; ++} ++utils.inherits(SHA224, SHA256); ++exports.sha224 = SHA224; ++ ++SHA224.blockSize = 512; ++SHA224.outSize = 224; ++SHA224.hmacStrength = 192; ++SHA224.padLength = 64; ++ ++SHA224.prototype._digest = function digest(enc) { ++ // Just truncate output ++ if (enc === 'hex') ++ return utils.toHex32(this.h.slice(0, 7), 'big'); ++ else ++ return utils.split32(this.h.slice(0, 7), 'big'); ++}; ++ ++function SHA512() { ++ if (!(this instanceof SHA512)) ++ return new SHA512(); ++ ++ BlockHash.call(this); ++ this.h = [ 0x6a09e667, 0xf3bcc908, ++ 0xbb67ae85, 0x84caa73b, ++ 0x3c6ef372, 0xfe94f82b, ++ 0xa54ff53a, 0x5f1d36f1, ++ 0x510e527f, 0xade682d1, ++ 0x9b05688c, 0x2b3e6c1f, ++ 0x1f83d9ab, 0xfb41bd6b, ++ 0x5be0cd19, 0x137e2179 ]; ++ this.k = sha512_K; ++ this.W = new Array(160); ++} ++utils.inherits(SHA512, BlockHash); ++exports.sha512 = SHA512; ++ ++SHA512.blockSize = 1024; ++SHA512.outSize = 512; ++SHA512.hmacStrength = 192; ++SHA512.padLength = 128; ++ ++SHA512.prototype._prepareBlock = function _prepareBlock(msg, start) { ++ var W = this.W; ++ ++ // 32 x 32bit words ++ for (var i = 0; i < 32; i++) ++ W[i] = msg[start + i]; ++ for (; i < W.length; i += 2) { ++ var c0_hi = g1_512_hi(W[i - 4], W[i - 3]); // i - 2 ++ var c0_lo = g1_512_lo(W[i - 4], W[i - 3]); ++ var c1_hi = W[i - 14]; // i - 7 ++ var c1_lo = W[i - 13]; ++ var c2_hi = g0_512_hi(W[i - 30], W[i - 29]); // i - 15 ++ var c2_lo = g0_512_lo(W[i - 30], W[i - 29]); ++ var c3_hi = W[i - 32]; // i - 16 ++ var c3_lo = W[i - 31]; ++ ++ W[i] = sum64_4_hi(c0_hi, c0_lo, ++ c1_hi, c1_lo, ++ c2_hi, c2_lo, ++ c3_hi, c3_lo); ++ W[i + 1] = sum64_4_lo(c0_hi, c0_lo, ++ c1_hi, c1_lo, ++ c2_hi, c2_lo, ++ c3_hi, c3_lo); ++ } ++}; ++ ++SHA512.prototype._update = function _update(msg, start) { ++ this._prepareBlock(msg, start); ++ ++ var W = this.W; ++ ++ var ah = this.h[0]; ++ var al = this.h[1]; ++ var bh = this.h[2]; ++ var bl = this.h[3]; ++ var ch = this.h[4]; ++ var cl = this.h[5]; ++ var dh = this.h[6]; ++ var dl = this.h[7]; ++ var eh = this.h[8]; ++ var el = this.h[9]; ++ var fh = this.h[10]; ++ var fl = this.h[11]; ++ var gh = this.h[12]; ++ var gl = this.h[13]; ++ var hh = this.h[14]; ++ var hl = this.h[15]; ++ ++ assert(this.k.length === W.length); ++ for (var i = 0; i < W.length; i += 2) { ++ var c0_hi = hh; ++ var c0_lo = hl; ++ var c1_hi = s1_512_hi(eh, el); ++ var c1_lo = s1_512_lo(eh, el); ++ var c2_hi = ch64_hi(eh, el, fh, fl, gh, gl); ++ var c2_lo = ch64_lo(eh, el, fh, fl, gh, gl); ++ var c3_hi = this.k[i]; ++ var c3_lo = this.k[i + 1]; ++ var c4_hi = W[i]; ++ var c4_lo = W[i + 1]; ++ ++ var T1_hi = sum64_5_hi(c0_hi, c0_lo, ++ c1_hi, c1_lo, ++ c2_hi, c2_lo, ++ c3_hi, c3_lo, ++ c4_hi, c4_lo); ++ var T1_lo = sum64_5_lo(c0_hi, c0_lo, ++ c1_hi, c1_lo, ++ c2_hi, c2_lo, ++ c3_hi, c3_lo, ++ c4_hi, c4_lo); ++ ++ var c0_hi = s0_512_hi(ah, al); ++ var c0_lo = s0_512_lo(ah, al); ++ var c1_hi = maj64_hi(ah, al, bh, bl, ch, cl); ++ var c1_lo = maj64_lo(ah, al, bh, bl, ch, cl); ++ ++ var T2_hi = sum64_hi(c0_hi, c0_lo, c1_hi, c1_lo); ++ var T2_lo = sum64_lo(c0_hi, c0_lo, c1_hi, c1_lo); ++ ++ hh = gh; ++ hl = gl; ++ ++ gh = fh; ++ gl = fl; ++ ++ fh = eh; ++ fl = el; ++ ++ eh = sum64_hi(dh, dl, T1_hi, T1_lo); ++ el = sum64_lo(dl, dl, T1_hi, T1_lo); ++ ++ dh = ch; ++ dl = cl; ++ ++ ch = bh; ++ cl = bl; ++ ++ bh = ah; ++ bl = al; ++ ++ ah = sum64_hi(T1_hi, T1_lo, T2_hi, T2_lo); ++ al = sum64_lo(T1_hi, T1_lo, T2_hi, T2_lo); ++ } ++ ++ sum64(this.h, 0, ah, al); ++ sum64(this.h, 2, bh, bl); ++ sum64(this.h, 4, ch, cl); ++ sum64(this.h, 6, dh, dl); ++ sum64(this.h, 8, eh, el); ++ sum64(this.h, 10, fh, fl); ++ sum64(this.h, 12, gh, gl); ++ sum64(this.h, 14, hh, hl); ++}; ++ ++SHA512.prototype._digest = function digest(enc) { ++ if (enc === 'hex') ++ return utils.toHex32(this.h, 'big'); ++ else ++ return utils.split32(this.h, 'big'); ++}; ++ ++function SHA384() { ++ if (!(this instanceof SHA384)) ++ return new SHA384(); ++ ++ SHA512.call(this); ++ this.h = [ 0xcbbb9d5d, 0xc1059ed8, ++ 0x629a292a, 0x367cd507, ++ 0x9159015a, 0x3070dd17, ++ 0x152fecd8, 0xf70e5939, ++ 0x67332667, 0xffc00b31, ++ 0x8eb44a87, 0x68581511, ++ 0xdb0c2e0d, 0x64f98fa7, ++ 0x47b5481d, 0xbefa4fa4 ]; ++} ++utils.inherits(SHA384, SHA512); ++exports.sha384 = SHA384; ++ ++SHA384.blockSize = 1024; ++SHA384.outSize = 384; ++SHA384.hmacStrength = 192; ++SHA384.padLength = 128; ++ ++SHA384.prototype._digest = function digest(enc) { ++ if (enc === 'hex') ++ return utils.toHex32(this.h.slice(0, 12), 'big'); ++ else ++ return utils.split32(this.h.slice(0, 12), 'big'); ++}; ++ ++function SHA1() { ++ if (!(this instanceof SHA1)) ++ return new SHA1(); ++ ++ BlockHash.call(this); ++ this.h = [ 0x67452301, 0xefcdab89, 0x98badcfe, ++ 0x10325476, 0xc3d2e1f0 ]; ++ this.W = new Array(80); ++} ++ ++utils.inherits(SHA1, BlockHash); ++exports.sha1 = SHA1; ++ ++SHA1.blockSize = 512; ++SHA1.outSize = 160; ++SHA1.hmacStrength = 80; ++SHA1.padLength = 64; ++ ++SHA1.prototype._update = function _update(msg, start) { ++ var W = this.W; ++ ++ for (var i = 0; i < 16; i++) ++ W[i] = msg[start + i]; ++ ++ for(; i < W.length; i++) ++ W[i] = rotl32(W[i - 3] ^ W[i - 8] ^ W[i - 14] ^ W[i - 16], 1); ++ ++ var a = this.h[0]; ++ var b = this.h[1]; ++ var c = this.h[2]; ++ var d = this.h[3]; ++ var e = this.h[4]; ++ ++ for (var i = 0; i < W.length; i++) { ++ var s = ~~(i / 20); ++ var t = sum32_5(rotl32(a, 5), ft_1(s, b, c, d), e, W[i], sha1_K[s]); ++ e = d; ++ d = c; ++ c = rotl32(b, 30); ++ b = a; ++ a = t; ++ } ++ ++ this.h[0] = sum32(this.h[0], a); ++ this.h[1] = sum32(this.h[1], b); ++ this.h[2] = sum32(this.h[2], c); ++ this.h[3] = sum32(this.h[3], d); ++ this.h[4] = sum32(this.h[4], e); ++}; ++ ++SHA1.prototype._digest = function digest(enc) { ++ if (enc === 'hex') ++ return utils.toHex32(this.h, 'big'); ++ else ++ return utils.split32(this.h, 'big'); ++}; ++ ++function ch32(x, y, z) { ++ return (x & y) ^ ((~x) & z); ++} ++ ++function maj32(x, y, z) { ++ return (x & y) ^ (x & z) ^ (y & z); ++} ++ ++function p32(x, y, z) { ++ return x ^ y ^ z; ++} ++ ++function s0_256(x) { ++ return rotr32(x, 2) ^ rotr32(x, 13) ^ rotr32(x, 22); ++} ++ ++function s1_256(x) { ++ return rotr32(x, 6) ^ rotr32(x, 11) ^ rotr32(x, 25); ++} ++ ++function g0_256(x) { ++ return rotr32(x, 7) ^ rotr32(x, 18) ^ (x >>> 3); ++} ++ ++function g1_256(x) { ++ return rotr32(x, 17) ^ rotr32(x, 19) ^ (x >>> 10); ++} ++ ++function ft_1(s, x, y, z) { ++ if (s === 0) ++ return ch32(x, y, z); ++ if (s === 1 || s === 3) ++ return p32(x, y, z); ++ if (s === 2) ++ return maj32(x, y, z); ++} ++ ++function ch64_hi(xh, xl, yh, yl, zh, zl) { ++ var r = (xh & yh) ^ ((~xh) & zh); ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function ch64_lo(xh, xl, yh, yl, zh, zl) { ++ var r = (xl & yl) ^ ((~xl) & zl); ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function maj64_hi(xh, xl, yh, yl, zh, zl) { ++ var r = (xh & yh) ^ (xh & zh) ^ (yh & zh); ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function maj64_lo(xh, xl, yh, yl, zh, zl) { ++ var r = (xl & yl) ^ (xl & zl) ^ (yl & zl); ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function s0_512_hi(xh, xl) { ++ var c0_hi = rotr64_hi(xh, xl, 28); ++ var c1_hi = rotr64_hi(xl, xh, 2); // 34 ++ var c2_hi = rotr64_hi(xl, xh, 7); // 39 ++ ++ var r = c0_hi ^ c1_hi ^ c2_hi; ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function s0_512_lo(xh, xl) { ++ var c0_lo = rotr64_lo(xh, xl, 28); ++ var c1_lo = rotr64_lo(xl, xh, 2); // 34 ++ var c2_lo = rotr64_lo(xl, xh, 7); // 39 ++ ++ var r = c0_lo ^ c1_lo ^ c2_lo; ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function s1_512_hi(xh, xl) { ++ var c0_hi = rotr64_hi(xh, xl, 14); ++ var c1_hi = rotr64_hi(xh, xl, 18); ++ var c2_hi = rotr64_hi(xl, xh, 9); // 41 ++ ++ var r = c0_hi ^ c1_hi ^ c2_hi; ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function s1_512_lo(xh, xl) { ++ var c0_lo = rotr64_lo(xh, xl, 14); ++ var c1_lo = rotr64_lo(xh, xl, 18); ++ var c2_lo = rotr64_lo(xl, xh, 9); // 41 ++ ++ var r = c0_lo ^ c1_lo ^ c2_lo; ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function g0_512_hi(xh, xl) { ++ var c0_hi = rotr64_hi(xh, xl, 1); ++ var c1_hi = rotr64_hi(xh, xl, 8); ++ var c2_hi = shr64_hi(xh, xl, 7); ++ ++ var r = c0_hi ^ c1_hi ^ c2_hi; ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function g0_512_lo(xh, xl) { ++ var c0_lo = rotr64_lo(xh, xl, 1); ++ var c1_lo = rotr64_lo(xh, xl, 8); ++ var c2_lo = shr64_lo(xh, xl, 7); ++ ++ var r = c0_lo ^ c1_lo ^ c2_lo; ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function g1_512_hi(xh, xl) { ++ var c0_hi = rotr64_hi(xh, xl, 19); ++ var c1_hi = rotr64_hi(xl, xh, 29); // 61 ++ var c2_hi = shr64_hi(xh, xl, 6); ++ ++ var r = c0_hi ^ c1_hi ^ c2_hi; ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++function g1_512_lo(xh, xl) { ++ var c0_lo = rotr64_lo(xh, xl, 19); ++ var c1_lo = rotr64_lo(xl, xh, 29); // 61 ++ var c2_lo = shr64_lo(xh, xl, 6); ++ ++ var r = c0_lo ^ c1_lo ^ c2_lo; ++ if (r < 0) ++ r += 0x100000000; ++ return r; ++} ++ ++},{"../hash":19}],24:[function(require,module,exports){ ++var utils = exports; ++var inherits = require('inherits'); ++ ++function toArray(msg, enc) { ++ if (Array.isArray(msg)) ++ return msg.slice(); ++ if (!msg) ++ return []; ++ var res = []; ++ if (typeof msg === 'string') { ++ if (!enc) { ++ for (var i = 0; i < msg.length; i++) { ++ var c = msg.charCodeAt(i); ++ var hi = c >> 8; ++ var lo = c & 0xff; ++ if (hi) ++ res.push(hi, lo); ++ else ++ res.push(lo); ++ } ++ } else if (enc === 'hex') { ++ msg = msg.replace(/[^a-z0-9]+/ig, ''); ++ if (msg.length % 2 !== 0) ++ msg = '0' + msg; ++ for (var i = 0; i < msg.length; i += 2) ++ res.push(parseInt(msg[i] + msg[i + 1], 16)); ++ } ++ } else { ++ for (var i = 0; i < msg.length; i++) ++ res[i] = msg[i] | 0; ++ } ++ return res; ++} ++utils.toArray = toArray; ++ ++function toHex(msg) { ++ var res = ''; ++ for (var i = 0; i < msg.length; i++) ++ res += zero2(msg[i].toString(16)); ++ return res; ++} ++utils.toHex = toHex; ++ ++function htonl(w) { ++ var res = (w >>> 24) | ++ ((w >>> 8) & 0xff00) | ++ ((w << 8) & 0xff0000) | ++ ((w & 0xff) << 24); ++ return res >>> 0; ++} ++utils.htonl = htonl; ++ ++function toHex32(msg, endian) { ++ var res = ''; ++ for (var i = 0; i < msg.length; i++) { ++ var w = msg[i]; ++ if (endian === 'little') ++ w = htonl(w); ++ res += zero8(w.toString(16)); ++ } ++ return res; ++} ++utils.toHex32 = toHex32; ++ ++function zero2(word) { ++ if (word.length === 1) ++ return '0' + word; ++ else ++ return word; ++} ++utils.zero2 = zero2; ++ ++function zero8(word) { ++ if (word.length === 7) ++ return '0' + word; ++ else if (word.length === 6) ++ return '00' + word; ++ else if (word.length === 5) ++ return '000' + word; ++ else if (word.length === 4) ++ return '0000' + word; ++ else if (word.length === 3) ++ return '00000' + word; ++ else if (word.length === 2) ++ return '000000' + word; ++ else if (word.length === 1) ++ return '0000000' + word; ++ else ++ return word; ++} ++utils.zero8 = zero8; ++ ++function join32(msg, start, end, endian) { ++ var len = end - start; ++ assert(len % 4 === 0); ++ var res = new Array(len / 4); ++ for (var i = 0, k = start; i < res.length; i++, k += 4) { ++ var w; ++ if (endian === 'big') ++ w = (msg[k] << 24) | (msg[k + 1] << 16) | (msg[k + 2] << 8) | msg[k + 3]; ++ else ++ w = (msg[k + 3] << 24) | (msg[k + 2] << 16) | (msg[k + 1] << 8) | msg[k]; ++ res[i] = w >>> 0; ++ } ++ return res; ++} ++utils.join32 = join32; ++ ++function split32(msg, endian) { ++ var res = new Array(msg.length * 4); ++ for (var i = 0, k = 0; i < msg.length; i++, k += 4) { ++ var m = msg[i]; ++ if (endian === 'big') { ++ res[k] = m >>> 24; ++ res[k + 1] = (m >>> 16) & 0xff; ++ res[k + 2] = (m >>> 8) & 0xff; ++ res[k + 3] = m & 0xff; ++ } else { ++ res[k + 3] = m >>> 24; ++ res[k + 2] = (m >>> 16) & 0xff; ++ res[k + 1] = (m >>> 8) & 0xff; ++ res[k] = m & 0xff; ++ } ++ } ++ return res; ++} ++utils.split32 = split32; ++ ++function rotr32(w, b) { ++ return (w >>> b) | (w << (32 - b)); ++} ++utils.rotr32 = rotr32; ++ ++function rotl32(w, b) { ++ return (w << b) | (w >>> (32 - b)); ++} ++utils.rotl32 = rotl32; ++ ++function sum32(a, b) { ++ return (a + b) >>> 0; ++} ++utils.sum32 = sum32; ++ ++function sum32_3(a, b, c) { ++ return (a + b + c) >>> 0; ++} ++utils.sum32_3 = sum32_3; ++ ++function sum32_4(a, b, c, d) { ++ return (a + b + c + d) >>> 0; ++} ++utils.sum32_4 = sum32_4; ++ ++function sum32_5(a, b, c, d, e) { ++ return (a + b + c + d + e) >>> 0; ++} ++utils.sum32_5 = sum32_5; ++ ++function assert(cond, msg) { ++ if (!cond) ++ throw new Error(msg || 'Assertion failed'); ++} ++utils.assert = assert; ++ ++utils.inherits = inherits; ++ ++function sum64(buf, pos, ah, al) { ++ var bh = buf[pos]; ++ var bl = buf[pos + 1]; ++ ++ var lo = (al + bl) >>> 0; ++ var hi = (lo < al ? 1 : 0) + ah + bh; ++ buf[pos] = hi >>> 0; ++ buf[pos + 1] = lo; ++} ++exports.sum64 = sum64; ++ ++function sum64_hi(ah, al, bh, bl) { ++ var lo = (al + bl) >>> 0; ++ var hi = (lo < al ? 1 : 0) + ah + bh; ++ return hi >>> 0; ++}; ++exports.sum64_hi = sum64_hi; ++ ++function sum64_lo(ah, al, bh, bl) { ++ var lo = al + bl; ++ return lo >>> 0; ++}; ++exports.sum64_lo = sum64_lo; ++ ++function sum64_4_hi(ah, al, bh, bl, ch, cl, dh, dl) { ++ var carry = 0; ++ var lo = al; ++ lo = (lo + bl) >>> 0; ++ carry += lo < al ? 1 : 0; ++ lo = (lo + cl) >>> 0; ++ carry += lo < cl ? 1 : 0; ++ lo = (lo + dl) >>> 0; ++ carry += lo < dl ? 1 : 0; ++ ++ var hi = ah + bh + ch + dh + carry; ++ return hi >>> 0; ++}; ++exports.sum64_4_hi = sum64_4_hi; ++ ++function sum64_4_lo(ah, al, bh, bl, ch, cl, dh, dl) { ++ var lo = al + bl + cl + dl; ++ return lo >>> 0; ++}; ++exports.sum64_4_lo = sum64_4_lo; ++ ++function sum64_5_hi(ah, al, bh, bl, ch, cl, dh, dl, eh, el) { ++ var carry = 0; ++ var lo = al; ++ lo = (lo + bl) >>> 0; ++ carry += lo < al ? 1 : 0; ++ lo = (lo + cl) >>> 0; ++ carry += lo < cl ? 1 : 0; ++ lo = (lo + dl) >>> 0; ++ carry += lo < dl ? 1 : 0; ++ lo = (lo + el) >>> 0; ++ carry += lo < el ? 1 : 0; ++ ++ var hi = ah + bh + ch + dh + eh + carry; ++ return hi >>> 0; ++}; ++exports.sum64_5_hi = sum64_5_hi; ++ ++function sum64_5_lo(ah, al, bh, bl, ch, cl, dh, dl, eh, el) { ++ var lo = al + bl + cl + dl + el; ++ ++ return lo >>> 0; ++}; ++exports.sum64_5_lo = sum64_5_lo; ++ ++function rotr64_hi(ah, al, num) { ++ var r = (al << (32 - num)) | (ah >>> num); ++ return r >>> 0; ++}; ++exports.rotr64_hi = rotr64_hi; ++ ++function rotr64_lo(ah, al, num) { ++ var r = (ah << (32 - num)) | (al >>> num); ++ return r >>> 0; ++}; ++exports.rotr64_lo = rotr64_lo; ++ ++function shr64_hi(ah, al, num) { ++ return ah >>> num; ++}; ++exports.shr64_hi = shr64_hi; ++ ++function shr64_lo(ah, al, num) { ++ var r = (ah << (32 - num)) | (al >>> num); ++ return r >>> 0; ++}; ++exports.shr64_lo = shr64_lo; ++ ++},{"inherits":25}],25:[function(require,module,exports){ ++if (typeof Object.create === 'function') { ++ // implementation from standard node.js 'util' module ++ module.exports = function inherits(ctor, superCtor) { ++ ctor.super_ = superCtor ++ ctor.prototype = Object.create(superCtor.prototype, { ++ constructor: { ++ value: ctor, ++ enumerable: false, ++ writable: true, ++ configurable: true ++ } ++ }); ++ }; ++} else { ++ // old school shim for old browsers ++ module.exports = function inherits(ctor, superCtor) { ++ ctor.super_ = superCtor ++ var TempCtor = function () {} ++ TempCtor.prototype = superCtor.prototype ++ ctor.prototype = new TempCtor() ++ ctor.prototype.constructor = ctor ++ } ++} ++ ++},{}],26:[function(require,module,exports){ ++module.exports={ ++ "name": "elliptic", ++ "version": "6.3.2", ++ "description": "EC cryptography", ++ "main": "lib/elliptic.js", ++ "files": [ ++ "lib" ++ ], ++ "scripts": { ++ "jscs": "jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js", ++ "jshint": "jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js", ++ "lint": "npm run jscs && npm run jshint", ++ "unit": "istanbul test _mocha --reporter=spec test/index.js", ++ "test": "npm run lint && npm run unit", ++ "version": "grunt dist && git add dist/" ++ }, ++ "repository": { ++ "type": "git", ++ "url": "git@github.com:indutny/elliptic" ++ }, ++ "keywords": [ ++ "EC", ++ "Elliptic", ++ "curve", ++ "Cryptography" ++ ], ++ "author": "Fedor Indutny fedor@indutny.com", ++ "license": "MIT", ++ "bugs": { ++ "url": "https://github.com/indutny/elliptic/issues" ++ }, ++ "homepage": "https://github.com/indutny/elliptic", ++ "devDependencies": { ++ "brfs": "^1.4.3", ++ "coveralls": "^2.11.3", ++ "grunt": "^0.4.5", ++ "grunt-browserify": "^5.0.0", ++ "grunt-contrib-connect": "^1.0.0", ++ "grunt-contrib-copy": "^1.0.0", ++ "grunt-contrib-uglify": "^1.0.1", ++ "grunt-mocha-istanbul": "^3.0.1", ++ "grunt-saucelabs": "^8.6.2", ++ "istanbul": "^0.4.2", ++ "jscs": "^2.9.0", ++ "jshint": "^2.6.0", ++ "mocha": "^2.1.0" ++ }, ++ "dependencies": { ++ "bn.js": "^4.4.0", ++ "brorand": "^1.0.1", ++ "hash.js": "^1.0.0", ++ "inherits": "^2.0.1" ++ } ++} ++ ++},{}]},{},[2])(2) ++}); ++ ++// End of the imported code from elliptic.js. ++ ++// Create the exported symbol for the JavaScript module. ++var elliptic = window.elliptic; +\ No newline at end of file +diff --git a/chat/protocols/irc/ircSASL.jsm b/chat/protocols/irc/ircSASL.jsm +index 561f055..8a2bd70 100644 +--- a/chat/protocols/irc/ircSASL.jsm ++++ b/chat/protocols/irc/ircSASL.jsm +@@ -14,6 +14,43 @@ var Cu = Components.utils; + + Cu.import("resource:///modules/ircHandlers.jsm"); + Cu.import("resource:///modules/ircUtils.jsm"); ++Cu.import("resource:///modules/elliptic.jsm"); ++ ++/** ++ ++ ECDSA-NIST256P-CHALLENGE ++ ++ Paste the following code snippit in the Firefox web console to generate a ++ private key (logged as hex string) and the irc command to execute to set ++ the public key on the server. ++ ++ crypto.subtle.generateKey({ name: "ECDSA", namedCurve: "P-256" }, true, ["sign"]) ++ .then((kp) => { ++ crypto.subtle.exportKey("jwk", kp.privateKey).then((o) => { ++ // convert from base64url to hex string ++ let d = o.d; ++ let padLen = (4 - (d.length % 4)) % 4; ++ d = d.padEnd(d.length + padLen, "=") ++ .replace(/-/g, "+") ++ .replace(/_/g, "/"); ++ let str = atob(d); ++ let a = Array.prototype.map.call(str, (x) => x.charCodeAt(0)); ++ let h = a.reduce((prev, next) => prev + next.toString(16), ""); ++ console.log(h); ++ }); ++ crypto.subtle.exportKey("raw", kp.publicKey).then((ab) => { ++ let v = new Uint8Array(ab); ++ let u = v.slice(0, 33); // +1 here for the compressed point ++ u[0] = 2 + (v[v.length - 1] & 1); ++ let s = String.fromCharCode.apply(null, u); ++ console.log("/msg nickserv set property pubkey", btoa(s)); ++ }); ++ }); ++ ++ Then, copy the private key to the preference `messenger.account.accountN.ecdsa` ++ in the config editor. ++ ++*/ + + var ircSASL = { + name: "SASL AUTHENTICATE", +@@ -22,23 +59,41 @@ var ircSASL = { + + commands: { + "AUTHENTICATE": function(aMessage) { +- // Expect an empty response, if something different is received abort. +- if (aMessage.params[0] != "+") { ++ let ecdsa = this.imAccount.wrappedJSObject.prefBranch.getCharPref("ecdsa"); ++ let hasECDSA = !!ecdsa.length; ++ ++ if (aMessage.params[0] === "+") { ++ // An authentication identity, authorization identity and password are ++ // used, separated by null. ++ let data = [this._requestedNickname, this._requestedNickname]; ++ if (!hasECDSA) data.push(this.imAccount.password); ++ // btoa for Unicode, see https://developer.mozilla.org/en-US/docs/DOM/window.btoa ++ let base64Data = btoa(unescape(encodeURIComponent(data.join("\0")))); ++ this.sendMessage("AUTHENTICATE", base64Data); ++ return true; ++ } else if (hasECDSA) { ++ let challenge = aMessage.params[0]; ++ ++ let EC = elliptic.ec; ++ let ec = new EC('p256'); ++ let key = ec.keyFromPrivate(ecdsa, 'hex'); ++ ++ let str = atob(challenge); ++ let arr = Array.prototype.map.call(str, (x) => x.charCodeAt(0)); ++ ++ let signature = key.sign(arr); ++ let der = String.fromCharCode.apply(null, signature.toDER()); ++ let response = btoa(der); ++ ++ this.sendMessage("AUTHENTICATE", response); ++ return true; ++ } else { ++ // Expect an empty response, if something different is received abort. + this.sendMessage("AUTHENTICATE", "*"); + this.WARN("Aborting SASL authentication, unexpected message " + + "received:\n" + aMessage.rawMessage); + return true; + } +- +- // An authentication identity, authorization identity and password are +- // used, separated by null. +- let data = [this._requestedNickname, this._requestedNickname, +- this.imAccount.password].join("\0"); +- // btoa for Unicode, see https://developer.mozilla.org/en-US/docs/DOM/window.btoa +- let base64Data = btoa(unescape(encodeURIComponent(data))); +- this.sendMessage("AUTHENTICATE", base64Data, +- "AUTHENTICATE <base64 encoded nick, user and password not logged>"); +- return true; + }, + + "900": function(aMessage) { +@@ -130,7 +185,10 @@ var capSASL = { + + commands: { + "sasl": function(aMessage) { +- if (aMessage.cap.subcommand == "LS" && this.imAccount.password) { ++ let ecdsa = this.imAccount.wrappedJSObject.prefBranch.getCharPref("ecdsa"); ++ let hasECDSA = !!ecdsa.length; ++ ++ if (aMessage.cap.subcommand == "LS" && (this.imAccount.password || hasECDSA)) { + // If it supports SASL, let the server know we're requiring SASL. + this.sendMessage("CAP", ["REQ", "sasl"]); + this.addCAP("sasl"); +@@ -138,7 +196,8 @@ var capSASL = { + else if (aMessage.cap.subcommand == "ACK") { + // The server acknowledges our choice to use SASL, send the first + // message. +- this.sendMessage("AUTHENTICATE", "PLAIN"); ++ this.sendMessage("AUTHENTICATE", ++ hasECDSA ? "ECDSA-NIST256P-CHALLENGE" : "PLAIN"); + } + + return true; +diff --git a/chat/protocols/irc/moz.build b/chat/protocols/irc/moz.build +index bc25396..e46815d 100644 +--- a/chat/protocols/irc/moz.build ++++ b/chat/protocols/irc/moz.build +@@ -11,6 +11,7 @@ EXTRA_COMPONENTS += [ + ] + + EXTRA_JS_MODULES += [ ++ 'elliptic.jsm', + 'ircBase.jsm', + 'ircCAP.jsm', + 'ircCommands.jsm', +-- +2.10.1 + diff --git a/projects/instantbird/config b/projects/instantbird/config index 03b89ae..906788a 100644 --- a/projects/instantbird/config +++ b/projects/instantbird/config @@ -78,6 +78,7 @@ input_files: - filename: 0018-Cert-override.patch - filename: 0019-Display-all-traffic-over-Tor.patch - filename: 0020-Trac-17480-Content-sink.patch + - filename: 0021-SASL-ECDSA-NIST256P-CHALLENGE.patch - filename: 'mozconfig-[% c("var/osname") %]' name: mozconfig - name: mozilla