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[tor-commits] [tor-messenger-build/master] Add a patch for trac 20205
commit d6d79dd5bb385ff0c6e58a172f3e1d749e48dae8
Author: Arlo Breault <arlolra@xxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxx>
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@xxxxxxxxxxxxxxx>
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@xxxxxxxxx>
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@xxxxxxxxx>
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@xxxxxxxxx>
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@xxxxxxxxx>
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@xxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxxxxxxx>
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@xxxxxxxxx>
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@xxxxxxxxx>
+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',
++ 'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821'
++ ],
++ [
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++ '11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf'
++ ],
++ [
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++ ],
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++ ],
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++ ],
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++ ],
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++ points: [
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++ '39e5c9925b5a54b07433a4f18c61726f8bb131c012ca542eb24a8ac07200682a'
++ ],
++ [
++ 'd4263dfc3d2df923a0179a48966d30ce84e2515afc3dccc1b77907792ebcc60e',
++ '62dfaf07a0f78feb30e30d6295853ce189e127760ad6cf7fae164e122a208d54'
++ ],
++ [
++ '48457524820fa65a4f8d35eb6930857c0032acc0a4a2de422233eeda897612c4',
++ '25a748ab367979d98733c38a1fa1c2e7dc6cc07db2d60a9ae7a76aaa49bd0f77'
++ ],
++ [
++ 'dfeeef1881101f2cb11644f3a2afdfc2045e19919152923f367a1767c11cceda',
++ 'ecfb7056cf1de042f9420bab396793c0c390bde74b4bbdff16a83ae09a9a7517'
++ ],
++ [
++ '6d7ef6b17543f8373c573f44e1f389835d89bcbc6062ced36c82df83b8fae859',
++ 'cd450ec335438986dfefa10c57fea9bcc521a0959b2d80bbf74b190dca712d10'
++ ],
++ [
++ 'e75605d59102a5a2684500d3b991f2e3f3c88b93225547035af25af66e04541f',
++ 'f5c54754a8f71ee540b9b48728473e314f729ac5308b06938360990e2bfad125'
++ ],
++ [
++ 'eb98660f4c4dfaa06a2be453d5020bc99a0c2e60abe388457dd43fefb1ed620c',
++ '6cb9a8876d9cb8520609af3add26cd20a0a7cd8a9411131ce85f44100099223e'
++ ],
++ [
++ '13e87b027d8514d35939f2e6892b19922154596941888336dc3563e3b8dba942',
++ 'fef5a3c68059a6dec5d624114bf1e91aac2b9da568d6abeb2570d55646b8adf1'
++ ],
++ [
++ 'ee163026e9fd6fe017c38f06a5be6fc125424b371ce2708e7bf4491691e5764a',
++ '1acb250f255dd61c43d94ccc670d0f58f49ae3fa15b96623e5430da0ad6c62b2'
++ ],
++ [
++ 'b268f5ef9ad51e4d78de3a750c2dc89b1e626d43505867999932e5db33af3d80',
++ '5f310d4b3c99b9ebb19f77d41c1dee018cf0d34fd4191614003e945a1216e423'
++ ],
++ [
++ 'ff07f3118a9df035e9fad85eb6c7bfe42b02f01ca99ceea3bf7ffdba93c4750d',
++ '438136d603e858a3a5c440c38eccbaddc1d2942114e2eddd4740d098ced1f0d8'
++ ],
++ [
++ '8d8b9855c7c052a34146fd20ffb658bea4b9f69e0d825ebec16e8c3ce2b526a1',
++ 'cdb559eedc2d79f926baf44fb84ea4d44bcf50fee51d7ceb30e2e7f463036758'
++ ],
++ [
++ '52db0b5384dfbf05bfa9d472d7ae26dfe4b851ceca91b1eba54263180da32b63',
++ 'c3b997d050ee5d423ebaf66a6db9f57b3180c902875679de924b69d84a7b375'
++ ],
++ [
++ 'e62f9490d3d51da6395efd24e80919cc7d0f29c3f3fa48c6fff543becbd43352',
++ '6d89ad7ba4876b0b22c2ca280c682862f342c8591f1daf5170e07bfd9ccafa7d'
++ ],
++ [
++ '7f30ea2476b399b4957509c88f77d0191afa2ff5cb7b14fd6d8e7d65aaab1193',
++ 'ca5ef7d4b231c94c3b15389a5f6311e9daff7bb67b103e9880ef4bff637acaec'
++ ],
++ [
++ '5098ff1e1d9f14fb46a210fada6c903fef0fb7b4a1dd1d9ac60a0361800b7a00',
++ '9731141d81fc8f8084d37c6e7542006b3ee1b40d60dfe5362a5b132fd17ddc0'
++ ],
++ [
++ '32b78c7de9ee512a72895be6b9cbefa6e2f3c4ccce445c96b9f2c81e2778ad58',
++ 'ee1849f513df71e32efc3896ee28260c73bb80547ae2275ba497237794c8753c'
++ ],
++ [
++ 'e2cb74fddc8e9fbcd076eef2a7c72b0ce37d50f08269dfc074b581550547a4f7',
++ 'd3aa2ed71c9dd2247a62df062736eb0baddea9e36122d2be8641abcb005cc4a4'
++ ],
++ [
++ '8438447566d4d7bedadc299496ab357426009a35f235cb141be0d99cd10ae3a8',
++ 'c4e1020916980a4da5d01ac5e6ad330734ef0d7906631c4f2390426b2edd791f'
++ ],
++ [
++ '4162d488b89402039b584c6fc6c308870587d9c46f660b878ab65c82c711d67e',
++ '67163e903236289f776f22c25fb8a3afc1732f2b84b4e95dbda47ae5a0852649'
++ ],
++ [
++ '3fad3fa84caf0f34f0f89bfd2dcf54fc175d767aec3e50684f3ba4a4bf5f683d',
++ 'cd1bc7cb6cc407bb2f0ca647c718a730cf71872e7d0d2a53fa20efcdfe61826'
++ ],
++ [
++ '674f2600a3007a00568c1a7ce05d0816c1fb84bf1370798f1c69532faeb1a86b',
++ '299d21f9413f33b3edf43b257004580b70db57da0b182259e09eecc69e0d38a5'
++ ],
++ [
++ 'd32f4da54ade74abb81b815ad1fb3b263d82d6c692714bcff87d29bd5ee9f08f',
++ 'f9429e738b8e53b968e99016c059707782e14f4535359d582fc416910b3eea87'
++ ],
++ [
++ '30e4e670435385556e593657135845d36fbb6931f72b08cb1ed954f1e3ce3ff6',
++ '462f9bce619898638499350113bbc9b10a878d35da70740dc695a559eb88db7b'
++ ],
++ [
++ 'be2062003c51cc3004682904330e4dee7f3dcd10b01e580bf1971b04d4cad297',
++ '62188bc49d61e5428573d48a74e1c655b1c61090905682a0d5558ed72dccb9bc'
++ ],
++ [
++ '93144423ace3451ed29e0fb9ac2af211cb6e84a601df5993c419859fff5df04a',
++ '7c10dfb164c3425f5c71a3f9d7992038f1065224f72bb9d1d902a6d13037b47c'
++ ],
++ [
++ 'b015f8044f5fcbdcf21ca26d6c34fb8197829205c7b7d2a7cb66418c157b112c',
++ 'ab8c1e086d04e813744a655b2df8d5f83b3cdc6faa3088c1d3aea1454e3a1d5f'
++ ],
++ [
++ 'd5e9e1da649d97d89e4868117a465a3a4f8a18de57a140d36b3f2af341a21b52',
++ '4cb04437f391ed73111a13cc1d4dd0db1693465c2240480d8955e8592f27447a'
++ ],
++ [
++ 'd3ae41047dd7ca065dbf8ed77b992439983005cd72e16d6f996a5316d36966bb',
++ 'bd1aeb21ad22ebb22a10f0303417c6d964f8cdd7df0aca614b10dc14d125ac46'
++ ],
++ [
++ '463e2763d885f958fc66cdd22800f0a487197d0a82e377b49f80af87c897b065',
++ 'bfefacdb0e5d0fd7df3a311a94de062b26b80c61fbc97508b79992671ef7ca7f'
++ ],
++ [
++ '7985fdfd127c0567c6f53ec1bb63ec3158e597c40bfe747c83cddfc910641917',
++ '603c12daf3d9862ef2b25fe1de289aed24ed291e0ec6708703a5bd567f32ed03'
++ ],
++ [
++ '74a1ad6b5f76e39db2dd249410eac7f99e74c59cb83d2d0ed5ff1543da7703e9',
++ 'cc6157ef18c9c63cd6193d83631bbea0093e0968942e8c33d5737fd790e0db08'
++ ],
++ [
++ '30682a50703375f602d416664ba19b7fc9bab42c72747463a71d0896b22f6da3',
++ '553e04f6b018b4fa6c8f39e7f311d3176290d0e0f19ca73f17714d9977a22ff8'
++ ],
++ [
++ '9e2158f0d7c0d5f26c3791efefa79597654e7a2b2464f52b1ee6c1347769ef57',
++ '712fcdd1b9053f09003a3481fa7762e9ffd7c8ef35a38509e2fbf2629008373'
++ ],
++ [
++ '176e26989a43c9cfeba4029c202538c28172e566e3c4fce7322857f3be327d66',
++ '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@xxxxxxxxxx:indutny/elliptic"
++ },
++ "keywords": [
++ "EC",
++ "Elliptic",
++ "curve",
++ "Cryptography"
++ ],
++ "author": "Fedor Indutny <fedor@xxxxxxxxxxx>",
++ "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
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