From 5ed0babb6467cd8575a9218265473fda926d9d42 Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Tue, 25 Jun 2019 21:07:15 -0700 Subject: [PATCH 01/15] package: update deps --- package-lock.json | 2607 ++++++++++++++++++++------------------------- package.json | 10 +- 2 files changed, 1184 insertions(+), 1433 deletions(-) diff --git a/package-lock.json b/package-lock.json index 985201d3..5cb4b948 100644 --- a/package-lock.json +++ b/package-lock.json @@ -75,21 +75,24 @@ "dev": true }, "agent-base": { - "version": "2.1.1", - "resolved": "https://registry.npmjs.org/agent-base/-/agent-base-2.1.1.tgz", - "integrity": "sha1-1t4Q1a9hMtW9aSQn1G/FOFOQlMc=", + "version": "4.3.0", + "resolved": "https://registry.npmjs.org/agent-base/-/agent-base-4.3.0.tgz", + "integrity": "sha512-salcGninV0nPrwpGNn4VTXBb1SOuXQBiqbrNXoeizJsHrsL6ERFM2Ne3JUSBWRE6aeNJI2ROP/WEEIDUiDe3cg==", "dev": true, "requires": { - "extend": "~3.0.0", - "semver": "~5.0.1" - }, - "dependencies": { - "semver": { - "version": 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"integrity": "sha1-EYvfW4zcUaKn5w0hHgfisLmxB9M=", + "dev": true, + "requires": { + "code-point-at": "^1.0.0", + "is-fullwidth-code-point": "^1.0.0", + "strip-ansi": "^3.0.0" + } + } + } + }, "wrappy": { "version": "1.0.2", "resolved": "https://registry.npmjs.org/wrappy/-/wrappy-1.0.2.tgz", @@ -7449,9 +7086,9 @@ "dev": true }, "y18n": { - "version": "3.2.1", - "resolved": "https://registry.npmjs.org/y18n/-/y18n-3.2.1.tgz", - "integrity": "sha1-bRX7qITAhnnA136I53WegR4H+kE=", + "version": "4.0.0", + "resolved": "https://registry.npmjs.org/y18n/-/y18n-4.0.0.tgz", + "integrity": "sha512-r9S/ZyXu/Xu9q1tYlpsLIsa3EeLXXk0VwlxqTcFRfg9EhMW+17kbt9G0NrgCmhGb5vT2hyhJZLfDGx+7+5Uj/w==", "dev": true }, "yargs": { @@ -7473,6 +7110,120 @@ "dev": true } } + }, + "yargs-parser": { + "version": "13.0.0", + "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-13.0.0.tgz", + "integrity": "sha512-w2LXjoL8oRdRQN+hOyppuXs+V/fVAYtpcrRxZuF7Kt/Oc+Jr2uAcVntaUTNT6w5ihoWfFDpNY8CPx1QskxZ/pw==", + "dev": 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"require-main-filename": "^1.0.1", + "set-blocking": "^2.0.0", + "string-width": "^2.0.0", + "which-module": "^2.0.0", + "y18n": "^3.2.1 || ^4.0.0", + "yargs-parser": "^11.1.1" + } + }, + "yargs-parser": { + "version": "11.1.1", + "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-11.1.1.tgz", + "integrity": "sha512-C6kB/WJDiaxONLJQnF8ccx9SEeoTTLek8RVbaOIsrAUS8VrBEXfmeSnCZxygc+XC2sNMBIwOOnfcxiynjHsVSQ==", + "dev": true, + "requires": { + "camelcase": "^5.0.0", + "decamelize": "^1.2.0" + } + } + } } } } diff --git a/package.json b/package.json index 4c8c848f..9d87e0af 100644 --- a/package.json +++ b/package.json @@ -32,19 +32,19 @@ "homepage": "https://github.com/indutny/elliptic", "devDependencies": { "brfs": "^1.4.3", - "coveralls": "^2.11.3", - "grunt": "^0.4.5", + "coveralls": "^3.0.4", + "grunt": "^1.0.4", "grunt-browserify": "^5.0.0", "grunt-cli": "^1.2.0", "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", + "grunt-saucelabs": "^9.0.1", "istanbul": "^0.4.2", - "jscs": "^2.9.0", + "jscs": "^3.0.7", "jshint": "^2.6.0", - "mocha": "^2.1.0" + "mocha": "^6.1.4" }, "dependencies": { "bn.js": "^4.4.0", From 637d0216b58de7edee4f3eb5641295ac323acadb Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Tue, 25 Jun 2019 21:09:59 -0700 Subject: [PATCH 02/15] travis: move on --- .travis.yml | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/.travis.yml b/.travis.yml index 9fdda4cb..64afa9a2 100755 --- a/.travis.yml +++ b/.travis.yml @@ -3,11 +3,9 @@ os: - linux language: node_js node_js: - - "0.10" - - "0.11" - - "0.12" - "4" - "5" + - "stable" env: global: - secure: ewqsRnX7z3+g6q+mM6peRPhuTlTlkJIRmVG/Ya9AcDXEb7as49KDTdqfMcOu7+FxF50ehqla+TRRCLRPOcVkWqs72OVUXEsjRASp9jQwpQGl+g/vZhyTMwlM2ENEkyiFQtobI1hYKgVW1ogftkc6vm7ywvoyTrFp/leVJBrTuHk= From ee7970b92f388e981d694be0436c4c8036b5d36c Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Tue, 25 Jun 2019 21:15:14 -0700 Subject: [PATCH 03/15] travis: really move on --- .travis.yml | 8 +++----- 1 file changed, 3 insertions(+), 5 deletions(-) diff --git a/.travis.yml b/.travis.yml index 64afa9a2..1a659f4f 100755 --- a/.travis.yml +++ b/.travis.yml @@ -3,8 +3,6 @@ os: - linux language: node_js node_js: - - "4" - - "5" - "stable" env: global: @@ -15,11 +13,11 @@ env: - TEST_SUITE='npm run unit' matrix: include: - - node_js: "4" + - node_js: "stable" env: TEST_SUITE='npm run lint' - - node_js: "4" + - node_js: "stable" env: TEST_SUITE='grunt coveralls' - - node_js: "4" + - node_js: "stable" env: TEST_SUITE='grunt saucelabs' allow_failures: - env: TEST_SUITE='grunt saucelabs' From 7ec66ffa255079260126d87b1762a59ea10de5ea Mon Sep 17 00:00:00 2001 From: Benjamin Diamond <30356252+benediamond@users.noreply.github.com> Date: Tue, 3 Sep 2019 22:33:44 -0400 Subject: [PATCH 04/15] short: add infinity check before multiplying --- lib/elliptic/curve/short.js | 5 +++-- test/curve-test.js | 7 +++++++ 2 files changed, 10 insertions(+), 2 deletions(-) diff --git a/lib/elliptic/curve/short.js b/lib/elliptic/curve/short.js index b631e7c0..b263ecf6 100644 --- a/lib/elliptic/curve/short.js +++ b/lib/elliptic/curve/short.js @@ -421,8 +421,9 @@ Point.prototype.getY = function getY() { Point.prototype.mul = function mul(k) { k = new BN(k, 16); - - if (this._hasDoubles(k)) + if (this.isInfinity()) + return this; + else if (this._hasDoubles(k)) return this.curve._fixedNafMul(this, k); else if (this.curve.endo) return this.curve._endoWnafMulAdd([ this ], [ k ]); diff --git a/test/curve-test.js b/test/curve-test.js index 2c6167d3..fcfa84e3 100644 --- a/test/curve-test.js +++ b/test/curve-test.js @@ -253,6 +253,13 @@ describe('Curve', function() { var neg2 = neg.neg(true); assert(p.eq(neg2)); }); + + it('should correctly handle scalar multiplication of zero', function() { + var curve = elliptic.curves.secp256k1.curve; + var p1 = curve.g.mul('0'); + var p2 = p1.mul('2'); + assert(p1.eq(p2)); + }); }); describe('Point codec', function () { From 71e4e8e2f5b8f0bdbfbe106c72cc9fbc746d3d60 Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Tue, 3 Sep 2019 19:34:13 -0700 Subject: [PATCH 05/15] 6.5.1 --- dist/elliptic.js | 17 +++++++++-------- dist/elliptic.min.js | 6 +++--- package-lock.json | 2 +- package.json | 2 +- 4 files changed, 14 insertions(+), 13 deletions(-) diff --git a/dist/elliptic.js b/dist/elliptic.js index b94ed319..b85283ae 100644 --- a/dist/elliptic.js +++ b/dist/elliptic.js @@ -1437,8 +1437,9 @@ Point.prototype.getY = function getY() { Point.prototype.mul = function mul(k) { k = new BN(k, 16); - - if (this._hasDoubles(k)) + if (this.isInfinity()) + return this; + else if (this._hasDoubles(k)) return this.curve._fixedNafMul(this, k); else if (this.curve.endo) return this.curve._endoWnafMulAdd([ this ], [ k ]); @@ -8796,7 +8797,7 @@ utils.encode = function encode(arr, enc) { },{}],35:[function(require,module,exports){ module.exports={ "name": "elliptic", - "version": "6.5.0", + "version": "6.5.1", "description": "EC cryptography", "main": "lib/elliptic.js", "files": [ @@ -8828,19 +8829,19 @@ module.exports={ "homepage": "https://github.com/indutny/elliptic", "devDependencies": { "brfs": "^1.4.3", - "coveralls": "^2.11.3", - "grunt": "^0.4.5", + "coveralls": "^3.0.4", + "grunt": "^1.0.4", "grunt-browserify": "^5.0.0", "grunt-cli": "^1.2.0", "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", + "grunt-saucelabs": "^9.0.1", "istanbul": "^0.4.2", - "jscs": "^2.9.0", + "jscs": "^3.0.7", "jshint": "^2.6.0", - "mocha": "^2.1.0" + "mocha": "^6.1.4" }, "dependencies": { "bn.js": "^4.4.0", diff --git a/dist/elliptic.min.js b/dist/elliptic.min.js index 2ef06305..c748f351 100644 --- a/dist/elliptic.min.js +++ b/dist/elliptic.min.js @@ -1,5 +1,5 @@ -!function(a){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=a();else if("function"==typeof define&&define.amd)define([],a);else{var b;b="undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this,b.elliptic=a()}}(function(){return function(){function a(b,c,d){function e(g,h){if(!c[g]){if(!b[g]){var i="function"==typeof require&&require;if(!h&&i)return i(g,!0);if(f)return f(g,!0);var j=new Error("Cannot find module '"+g+"'");throw j.code="MODULE_NOT_FOUND",j}var k=c[g]={exports:{}};b[g][0].call(k.exports,function(a){var c=b[g][1][a];return e(c||a)},k,k.exports,a,b,c,d)}return c[g].exports}for(var f="function"==typeof require&&require,g=0;g0?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function e(a,b){this.curve=a,this.type=b,this.precomputed=null}var f=a("bn.js"),g=a("../utils"),h=g.getNAF,i=g.getJSF,j=g.assert;b.exports=d,d.prototype.point=function(){throw new Error("Not implemented")},d.prototype.validate=function(){throw new Error("Not implemented")},d.prototype._fixedNafMul=function(a,b){j(a.precomputed);var c=a._getDoubles(),d=h(b,1),e=(1<=g;b--)i=(i<<1)+d[b];f.push(i)}for(var k=this.jpoint(null,null,null),l=this.jpoint(null,null,null),m=e;m>0;m--){for(var g=0;g=0;i--){for(var b=0;i>=0&&0===f[i];i--)b++;if(i>=0&&b++,g=g.dblp(b),i<0)break;var k=f[i];j(0!==k),g="affine"===a.type?k>0?g.mixedAdd(e[k-1>>1]):g.mixedAdd(e[-k-1>>1].neg()):k>0?g.add(e[k-1>>1]):g.add(e[-k-1>>1].neg())}return"affine"===a.type?g.toP():g},d.prototype._wnafMulAdd=function(a,b,c,d,e){for(var f=this._wnafT1,g=this._wnafT2,j=this._wnafT3,k=0,l=0;l=1;l-=2){var o=l-1,p=l;if(1===f[o]&&1===f[p]){var q=[b[o],null,null,b[p]];0===b[o].y.cmp(b[p].y)?(q[1]=b[o].add(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg())):0===b[o].y.cmp(b[p].y.redNeg())?(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].add(b[p].neg())):(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg()));var r=[-3,-1,-5,-7,0,7,5,1,3],s=i(c[o],c[p]);k=Math.max(s[0].length,k),j[o]=new Array(k),j[p]=new Array(k);for(var t=0;t=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t0?m=g[t][A-1>>1]:A<0&&(m=g[t][-A-1>>1].neg()),w="affine"===m.type?w.mixedAdd(m):w.add(m))}}for(var l=0;l=Math.ceil((a.bitLength()+1)/b.step)},e.prototype._getDoubles=function(a,b){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var c=[this],d=this,e=0;e":""},e.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.z).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)},e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return this.x=this.x.redMul(a),this.y=this.y.redMul(a),this.t&&(this.t=this.t.redMul(a)),this.z=this.curve.one,this.zOne=!0,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),this.y.fromRed()},e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())},e.prototype.eqXToP=function(a){var b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){h.call(this,"mont",a),this.a=new f(a.a,16).toRed(this.red),this.b=new f(a.b,16).toRed(this.red),this.i4=new f(4).toRed(this.red).redInvm(),this.two=new f(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){h.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new f(b,16),this.z=new f(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("bn.js"),g=a("inherits"),h=a("./base"),i=a("../utils");g(d,h),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},g(e,h.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(i.toArray(a,b),1)},d.prototype.point=function(a,b){return new e(this,a,b)},d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},e.prototype.precompute=function(){},e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)},e.prototype.inspect=function(){return this.isInfinity()?"":""},e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},e.prototype.dbl=function(){var a=this.x.redAdd(this.z),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(a,b,c){"use strict";function d(a){j.call(this,"short",a),this.a=new h(a.a,16).toRed(this.red),this.b=new h(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(a),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){j.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new h(b,16),this.y=new h(c,16),d&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function f(a,b,c,d){j.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new h(0)):(this.x=new h(b,16),this.y=new h(c,16),this.z=new h(d,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}var g=a("../utils"),h=a("bn.js"),i=a("inherits"),j=a("./base"),k=g.assert;i(d,j),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new h(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new h(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],k(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new h(a.a,16),b:new h(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:h.mont(a),c=new h(2).toRed(b).redInvm(),d=c.redNeg(),e=new h(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,i,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new h(1),p=new h(0),q=new h(0),r=new h(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=i.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;i=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f":""},e.prototype.isInfinity=function(){return this.inf},e.prototype.add=function(a){if(this.inf)return a;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new h(a,16),this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))},e.prototype.neg=function(a){if(this.inf)return this;var b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},i(f,j.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"":""},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h["short"](a):"edwards"===a.type?this.curve=new h.edwards(a):this.curve=new h.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,j(this.g.validate(),"Invalid curve"),j(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("./curve"),i=a("./utils"),j=i.assert;f.PresetCurve=d,e("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:g.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),e("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:g.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),e("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:g.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),e("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:g.sha384,gRed:!1,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"]}),e("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:g.sha512,gRed:!1,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"]}),e("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["9"]}),e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});var k;try{k=a("./precomputed/secp256k1")}catch(l){k=void 0}e("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:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",k]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(j(h.hasOwnProperty(a),"Unknown curve "+a),a=h[a]),a instanceof h.PresetCurve&&(a={curve:a}),this.curve=a.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=a.curve.g,this.g.precompute(a.curve.n.bitLength()+1),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../utils"),h=a("../curves"),i=a("brorand"),j=g.assert,k=a("./key"),l=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new k(this,a)},d.prototype.keyFromPrivate=function(a,b){return k.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return k.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||i(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var g=new e(b.generate(c));if(!(g.cmp(d)>0))return g.iaddn(1),this.keyFromPrivate(g)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(k)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new l({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new l(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var k=this.g.mulAdd(i,c.getPublic(),j);return!k.isInfinity()&&0===k.getX().umod(this.n).cmp(f)}var k=this.g.jmulAdd(i,c.getPublic(),j);return!k.isInfinity()&&k.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){j((3&c)===c,"The recovery param is more than two bits"),b=new l(b,d);var f=this.n,g=new e(a),h=b.r,i=b.s,k=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),k):this.curve.pointFromX(h,k);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=i.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new l(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../utils"),g=f.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?g(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||g(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(k(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;for(var d=15&c,e=0,f=0,g=b.place;f>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../utils"),k=j.assert;b.exports=d,d.prototype._importDER=function(a,b){a=j.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c),h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var k=f(a,c);if(a.length!==k+c.place)return!1;var l=a.slice(c.place,k+c.place);return 0===h[0]&&128&h[1]&&(h=h.slice(1)),0===l[0]&&128&l[1]&&(l=l.slice(1)),this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),j.encode(f,a)}},{"../utils":15,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../curves"),g=a("../utils"),h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b0?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function e(a,b){this.curve=a,this.type=b,this.precomputed=null}var f=a("bn.js"),g=a("../utils"),h=g.getNAF,i=g.getJSF,j=g.assert;b.exports=d,d.prototype.point=function(){throw new Error("Not implemented")},d.prototype.validate=function(){throw new Error("Not implemented")},d.prototype._fixedNafMul=function(a,b){j(a.precomputed);var c=a._getDoubles(),d=h(b,1),e=(1<=g;b--)i=(i<<1)+d[b];f.push(i)}for(var k=this.jpoint(null,null,null),l=this.jpoint(null,null,null),m=e;m>0;m--){for(var g=0;g=0;i--){for(var b=0;i>=0&&0===f[i];i--)b++;if(i>=0&&b++,g=g.dblp(b),i<0)break;var k=f[i];j(0!==k),g="affine"===a.type?k>0?g.mixedAdd(e[k-1>>1]):g.mixedAdd(e[-k-1>>1].neg()):k>0?g.add(e[k-1>>1]):g.add(e[-k-1>>1].neg())}return"affine"===a.type?g.toP():g},d.prototype._wnafMulAdd=function(a,b,c,d,e){for(var f=this._wnafT1,g=this._wnafT2,j=this._wnafT3,k=0,l=0;l=1;l-=2){var o=l-1,p=l;if(1===f[o]&&1===f[p]){var q=[b[o],null,null,b[p]];0===b[o].y.cmp(b[p].y)?(q[1]=b[o].add(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg())):0===b[o].y.cmp(b[p].y.redNeg())?(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].add(b[p].neg())):(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg()));var r=[-3,-1,-5,-7,0,7,5,1,3],s=i(c[o],c[p]);k=Math.max(s[0].length,k),j[o]=new Array(k),j[p]=new Array(k);for(var t=0;t=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t0?m=g[t][A-1>>1]:A<0&&(m=g[t][-A-1>>1].neg()),w="affine"===m.type?w.mixedAdd(m):w.add(m))}}for(var l=0;l=Math.ceil((a.bitLength()+1)/b.step)},e.prototype._getDoubles=function(a,b){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var c=[this],d=this,e=0;e":""},e.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.z).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)},e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return this.x=this.x.redMul(a),this.y=this.y.redMul(a),this.t&&(this.t=this.t.redMul(a)),this.z=this.curve.one,this.zOne=!0,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),this.y.fromRed()},e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())},e.prototype.eqXToP=function(a){var b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){h.call(this,"mont",a),this.a=new f(a.a,16).toRed(this.red),this.b=new f(a.b,16).toRed(this.red),this.i4=new f(4).toRed(this.red).redInvm(),this.two=new f(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){h.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new f(b,16),this.z=new f(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("bn.js"),g=a("inherits"),h=a("./base"),i=a("../utils");g(d,h),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},g(e,h.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(i.toArray(a,b),1)},d.prototype.point=function(a,b){return new e(this,a,b)},d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},e.prototype.precompute=function(){},e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)},e.prototype.inspect=function(){return this.isInfinity()?"":""},e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},e.prototype.dbl=function(){var a=this.x.redAdd(this.z),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(a,b,c){"use strict";function d(a){j.call(this,"short",a),this.a=new h(a.a,16).toRed(this.red),this.b=new h(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(a),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){j.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new h(b,16),this.y=new h(c,16),d&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function f(a,b,c,d){j.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new h(0)):(this.x=new h(b,16),this.y=new h(c,16),this.z=new h(d,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}var g=a("../utils"),h=a("bn.js"),i=a("inherits"),j=a("./base"),k=g.assert;i(d,j),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new h(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new h(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],k(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new h(a.a,16),b:new h(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:h.mont(a),c=new h(2).toRed(b).redInvm(),d=c.redNeg(),e=new h(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,i,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new h(1),p=new h(0),q=new h(0),r=new h(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=i.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;i=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f":""},e.prototype.isInfinity=function(){return this.inf},e.prototype.add=function(a){if(this.inf)return a;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new h(a,16),this.isInfinity()?this:this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))},e.prototype.neg=function(a){if(this.inf)return this;var b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},i(f,j.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"":""},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h["short"](a):"edwards"===a.type?this.curve=new h.edwards(a):this.curve=new h.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,j(this.g.validate(),"Invalid curve"),j(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("./curve"),i=a("./utils"),j=i.assert;f.PresetCurve=d,e("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:g.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),e("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:g.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),e("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:g.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),e("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:g.sha384,gRed:!1,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"]}),e("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:g.sha512,gRed:!1,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"]}),e("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["9"]}),e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});var k;try{k=a("./precomputed/secp256k1")}catch(l){k=void 0}e("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:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",k]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(j(h.hasOwnProperty(a),"Unknown curve "+a),a=h[a]),a instanceof h.PresetCurve&&(a={curve:a}),this.curve=a.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=a.curve.g,this.g.precompute(a.curve.n.bitLength()+1),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../utils"),h=a("../curves"),i=a("brorand"),j=g.assert,k=a("./key"),l=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new k(this,a)},d.prototype.keyFromPrivate=function(a,b){return k.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return k.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||i(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var g=new e(b.generate(c));if(!(g.cmp(d)>0))return g.iaddn(1),this.keyFromPrivate(g)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(k)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new l({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new l(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var k=this.g.mulAdd(i,c.getPublic(),j);return!k.isInfinity()&&0===k.getX().umod(this.n).cmp(f)}var k=this.g.jmulAdd(i,c.getPublic(),j);return!k.isInfinity()&&k.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){j((3&c)===c,"The recovery param is more than two bits"),b=new l(b,d);var f=this.n,g=new e(a),h=b.r,i=b.s,k=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),k):this.curve.pointFromX(h,k);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=i.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new l(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../utils"),g=f.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?g(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||g(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(k(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;for(var d=15&c,e=0,f=0,g=b.place;f>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../utils"),k=j.assert;b.exports=d,d.prototype._importDER=function(a,b){a=j.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c),h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var k=f(a,c);if(a.length!==k+c.place)return!1;var l=a.slice(c.place,k+c.place);return 0===h[0]&&128&h[1]&&(h=h.slice(1)),0===l[0]&&128&l[1]&&(l=l.slice(1)),this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),j.encode(f,a)}},{"../utils":15,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../curves"),g=a("../utils"),h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b=0;){var f;if(e.isOdd()){var g=e.andln(d-1);f=g>(d>>1)-1?(d>>1)-g:g,e.isubn(f)}else f=0;c.push(f);for(var h=0!==e.cmpn(0)&&0===e.andln(d-1)?b+1:1,i=1;i0||b.cmpn(-e)>0;){var f=a.andln(3)+d&3,g=b.andln(3)+e&3;3===f&&(f=-1),3===g&&(g=-1);var h;if(0===(1&f))h=0;else{var i=a.andln(7)+d&7;h=3!==i&&5!==i||2!==g?f:-f}c[0].push(h);var j;if(0===(1&g))j=0;else{var i=b.andln(7)+e&7;j=3!==i&&5!==i||2!==f?g:-g}c[1].push(j),2*d===h+1&&(d=1-d),2*e===j+1&&(e=1-e),a.iushrn(1),b.iushrn(1)}return c}function f(a,b,c){var d="_"+b;a.prototype[b]=function(){return void 0!==this[d]?this[d]:this[d]=c.call(this)}}function g(a){return"string"==typeof a?i.toArray(a,"hex"):a}function h(a){return new j(a,"hex","le")}var i=c,j=a("bn.js"),k=a("minimalistic-assert"),l=a("minimalistic-crypto-utils");i.assert=k,i.toArray=l.toArray,i.zero2=l.zero2,i.toHex=l.toHex,i.encode=l.encode,i.getNAF=d,i.getJSF=e,i.cachedProperty=f,i.parseBytes=g,i.intFromLE=h},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(a,b,c){!function(b,c){"use strict";function d(a,b){if(!a)throw new Error(b||"Assertion failed")}function e(a,b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}function f(a,b,c){return f.isBN(a)?a:(this.negative=0,this.words=null,this.length=0,this.red=null,void(null!==a&&("le"!==b&&"be"!==b||(c=b,b=10),this._init(a||0,b||10,c||"be"))))}function g(a,b,c){for(var d=0,e=Math.min(a.length,c),f=b;f=49&&g<=54?g-49+10:g>=17&&g<=22?g-17+10:15&g}return d}function h(a,b,c,d){for(var e=0,f=Math.min(a.length,c),g=b;g=49?h-49+10:h>=17?h-17+10:h}return e}function i(a){for(var b=new Array(a.bitLength()),c=0;c>>e}return b}function j(a,b,c){c.negative=b.negative^a.negative;var d=a.length+b.length|0;c.length=d,d=d-1|0;var e=0|a.words[0],f=0|b.words[0],g=e*f,h=67108863&g,i=g/67108864|0;c.words[0]=h;for(var j=1;j>>26,l=67108863&i,m=Math.min(j,b.length-1),n=Math.max(0,j-a.length+1);n<=m;n++){var o=j-n|0;e=0|a.words[o],f=0|b.words[n],g=e*f+l,k+=g/67108864|0,l=67108863&g}c.words[j]=0|l,i=0|k}return 0!==i?c.words[j]=0|i:c.length--,c.strip()}function k(a,b,c){c.negative=b.negative^a.negative,c.length=a.length+b.length;for(var d=0,e=0,f=0;f>>26)|0,e+=g>>>26,g&=67108863}c.words[f]=h,d=g,g=e}return 0!==d?c.words[f]=d:c.length--,c.strip()}function l(a,b,c){var d=new m;return d.mulp(a,b,c)}function m(a,b){this.x=a,this.y=b}function n(a,b){this.name=a,this.p=new f(b,16),this.n=this.p.bitLength(),this.k=new f(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function o(){n.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function p(){n.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function q(){n.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function r(){n.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function s(a){if("string"==typeof a){var b=f._prime(a);this.m=b.p,this.prime=b}else d(a.gtn(1),"modulus must be greater than 1"),this.m=a,this.prime=null}function t(a){s.call(this,a),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new f(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)}"object"==typeof b?b.exports=f:c.BN=f,f.BN=f,f.wordSize=26;var u;try{u=a("buffer").Buffer}catch(v){}f.isBN=function(a){return a instanceof f||null!==a&&"object"==typeof a&&a.constructor.wordSize===f.wordSize&&Array.isArray(a.words)},f.max=function(a,b){return a.cmp(b)>0?a:b},f.min=function(a,b){return a.cmp(b)<0?a:b},f.prototype._init=function(a,b,c){if("number"==typeof a)return this._initNumber(a,b,c);if("object"==typeof a)return this._initArray(a,b,c);"hex"===b&&(b=16),d(b===(0|b)&&b>=2&&b<=36),a=a.toString().replace(/\s+/g,"");var e=0;"-"===a[0]&&e++,16===b?this._parseHex(a,e):this._parseBase(a,b,e),"-"===a[0]&&(this.negative=1),this.strip(),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initNumber=function(a,b,c){a<0&&(this.negative=1,a=-a),a<67108864?(this.words=[67108863&a],this.length=1):a<4503599627370496?(this.words=[67108863&a,a/67108864&67108863],this.length=2):(d(a<9007199254740992),this.words=[67108863&a,a/67108864&67108863,1],this.length=3),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initArray=function(a,b,c){if(d("number"==typeof a.length),a.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(a.length/3),this.words=new Array(this.length);for(var e=0;e=0;e-=3)g=a[e]|a[e-1]<<8|a[e-2]<<16,this.words[f]|=g<>>26-h&67108863,h+=24,h>=26&&(h-=26,f++);else if("le"===c)for(e=0,f=0;e>>26-h&67108863,h+=24,h>=26&&(h-=26,f++);return this.strip()},f.prototype._parseHex=function(a,b){this.length=Math.ceil((a.length-b)/6),this.words=new Array(this.length);for(var c=0;c=b;c-=6)e=g(a,c,c+6),this.words[d]|=e<>>26-f&4194303,f+=24,f>=26&&(f-=26,d++);c+6!==b&&(e=g(a,b,c+6),this.words[d]|=e<>>26-f&4194303),this.strip()},f.prototype._parseBase=function(a,b,c){this.words=[0],this.length=1;for(var d=0,e=1;e<=67108863;e*=b)d++;d--,e=e/b|0;for(var f=a.length-c,g=f%d,i=Math.min(f,f-g)+c,j=0,k=c;k1&&0===this.words[this.length-1];)this.length--;return this._normSign()},f.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},f.prototype.inspect=function(){return(this.red?""};var 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Ca=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ca>>>26)|0,Ca&=67108863,d=Math.imul(M,_),e=Math.imul(M,aa),e=e+Math.imul(N,_)|0,f=Math.imul(N,aa),d=d+Math.imul(J,ca)|0,e=e+Math.imul(J,da)|0,e=e+Math.imul(K,ca)|0,f=f+Math.imul(K,da)|0,d=d+Math.imul(G,fa)|0,e=e+Math.imul(G,ga)|0,e=e+Math.imul(H,fa)|0,f=f+Math.imul(H,ga)|0,d=d+Math.imul(D,ia)|0,e=e+Math.imul(D,ja)|0,e=e+Math.imul(E,ia)|0,f=f+Math.imul(E,ja)|0,d=d+Math.imul(A,la)|0,e=e+Math.imul(A,ma)|0,e=e+Math.imul(B,la)|0,f=f+Math.imul(B,ma)|0,d=d+Math.imul(x,oa)|0,e=e+Math.imul(x,pa)|0,e=e+Math.imul(y,oa)|0,f=f+Math.imul(y,pa)|0;var Da=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Da>>>26)|0,Da&=67108863,d=Math.imul(M,ca),e=Math.imul(M,da),e=e+Math.imul(N,ca)|0,f=Math.imul(N,da),d=d+Math.imul(J,fa)|0,e=e+Math.imul(J,ga)|0,e=e+Math.imul(K,fa)|0,f=f+Math.imul(K,ga)|0,d=d+Math.imul(G,ia)|0,e=e+Math.imul(G,ja)|0,e=e+Math.imul(H,ia)|0,f=f+Math.imul(H,ja)|0,d=d+Math.imul(D,la)|0,e=e+Math.imul(D,ma)|0,e=e+Math.imul(E,la)|0,f=f+Math.imul(E,ma)|0,d=d+Math.imul(A,oa)|0,e=e+Math.imul(A,pa)|0,e=e+Math.imul(B,oa)|0,f=f+Math.imul(B,pa)|0;var Ea=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ea>>>26)|0,Ea&=67108863,d=Math.imul(M,fa),e=Math.imul(M,ga),e=e+Math.imul(N,fa)|0,f=Math.imul(N,ga),d=d+Math.imul(J,ia)|0,e=e+Math.imul(J,ja)|0,e=e+Math.imul(K,ia)|0,f=f+Math.imul(K,ja)|0,d=d+Math.imul(G,la)|0,e=e+Math.imul(G,ma)|0,e=e+Math.imul(H,la)|0,f=f+Math.imul(H,ma)|0,d=d+Math.imul(D,oa)|0,e=e+Math.imul(D,pa)|0,e=e+Math.imul(E,oa)|0,f=f+Math.imul(E,pa)|0;var Fa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Fa>>>26)|0,Fa&=67108863,d=Math.imul(M,ia),e=Math.imul(M,ja),e=e+Math.imul(N,ia)|0,f=Math.imul(N,ja),d=d+Math.imul(J,la)|0,e=e+Math.imul(J,ma)|0,e=e+Math.imul(K,la)|0,f=f+Math.imul(K,ma)|0,d=d+Math.imul(G,oa)|0,e=e+Math.imul(G,pa)|0,e=e+Math.imul(H,oa)|0,f=f+Math.imul(H,pa)|0;var Ga=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ga>>>26)|0,Ga&=67108863,d=Math.imul(M,la),e=Math.imul(M,ma),e=e+Math.imul(N,la)|0,f=Math.imul(N,ma),d=d+Math.imul(J,oa)|0,e=e+Math.imul(J,pa)|0,e=e+Math.imul(K,oa)|0,f=f+Math.imul(K,pa)|0;var Ha=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ha>>>26)|0,Ha&=67108863,d=Math.imul(M,oa),e=Math.imul(M,pa),e=e+Math.imul(N,oa)|0,f=Math.imul(N,pa);var Ia=(j+d|0)+((8191&e)<<13)|0;return j=(f+(e>>>13)|0)+(Ia>>>26)|0,Ia&=67108863,i[0]=qa,i[1]=ra,i[2]=sa,i[3]=ta,i[4]=ua,i[5]=va,i[6]=wa,i[7]=xa,i[8]=ya,i[9]=za,i[10]=Aa,i[11]=Ba,i[12]=Ca,i[13]=Da,i[14]=Ea,i[15]=Fa,i[16]=Ga,i[17]=Ha,i[18]=Ia,0!==j&&(i[19]=j,c.length++),c};Math.imul||(z=j),f.prototype.mulTo=function(a,b){var c,d=this.length+a.length;return c=10===this.length&&10===a.length?z(this,a,b):d<63?j(this,a,b):d<1024?k(this,a,b):l(this,a,b)},m.prototype.makeRBT=function(a){for(var b=new Array(a),c=f.prototype._countBits(a)-1,d=0;d>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g>>=1)e++;return 1<>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g>=26,b+=e/67108864|0,b+=f>>>26,this.words[c]=67108863&f}return 0!==b&&(this.words[c]=b,this.length++),this},f.prototype.muln=function(a){return this.clone().imuln(a)},f.prototype.sqr=function(){return this.mul(this)},f.prototype.isqr=function(){return this.imul(this.clone())},f.prototype.pow=function(a){var b=i(a);if(0===b.length)return new f(1);for(var c=this,d=0;d=0);var b,c=a%26,e=(a-c)/26,f=67108863>>>26-c<<26-c;if(0!==c){var g=0;for(b=0;b>>26-c}g&&(this.words[b]=g,this.length++)}if(0!==e){for(b=this.length-1;b>=0;b--)this.words[b+e]=this.words[b];for(b=0;b=0);var e;e=b?(b-b%26)/26:0;var f=a%26,g=Math.min((a-f)/26,this.length),h=67108863^67108863>>>f<g)for(this.length-=g,j=0;j=0&&(0!==k||j>=e);j--){var l=0|this.words[j];this.words[j]=k<<26-f|l>>>f,k=l&h}return i&&0!==k&&(i.words[i.length++]=k),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},f.prototype.ishrn=function(a,b,c){return d(0===this.negative),this.iushrn(a,b,c)},f.prototype.shln=function(a){return this.clone().ishln(a)},f.prototype.ushln=function(a){return this.clone().iushln(a)},f.prototype.shrn=function(a){return this.clone().ishrn(a)},f.prototype.ushrn=function(a){return this.clone().iushrn(a)},f.prototype.testn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26,e=1<=0);var b=a%26,c=(a-b)/26;if(d(0===this.negative,"imaskn works only with positive numbers"),this.length<=c)return this;if(0!==b&&c++,this.length=Math.min(c,this.length),0!==b){var e=67108863^67108863>>>b<=67108864;b++)this.words[b]-=67108864,b===this.length-1?this.words[b+1]=1:this.words[b+1]++;return this.length=Math.max(this.length,b+1),this},f.prototype.isubn=function(a){if(d("number"==typeof a),d(a<67108864),a<0)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;if(this.words[0]-=a,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var b=0;b>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e>26,this.words[e]=67108863&g;return this.negative=1,this.strip()},f.prototype._wordDiv=function(a,b){var c=this.length-a.length,d=this.clone(),e=a,g=0|e.words[e.length-1],h=this._countBits(g);c=26-h,0!==c&&(e=e.ushln(c),d.iushln(c),g=0|e.words[e.length-1]);var i,j=d.length-e.length;if("mod"!==b){i=new f(null),i.length=j+1,i.words=new Array(i.length);for(var k=0;k=0;m--){var n=67108864*(0|d.words[e.length+m])+(0|d.words[e.length+m-1]);for(n=Math.min(n/g|0,67108863),d._ishlnsubmul(e,n,m);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,m),d.isZero()||(d.negative^=1); i&&(i.words[m]=n)}return i&&i.strip(),d.strip(),"div"!==b&&0!==c&&d.iushrn(c),{div:i||null,mod:d}},f.prototype.divmod=function(a,b,c){if(d(!a.isZero()),this.isZero())return{div:new f(0),mod:new f(0)};var e,g,h;return 0!==this.negative&&0===a.negative?(h=this.neg().divmod(a,b),"mod"!==b&&(e=h.div.neg()),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.iadd(a)),{div:e,mod:g}):0===this.negative&&0!==a.negative?(h=this.divmod(a.neg(),b),"mod"!==b&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&a.negative)?(h=this.neg().divmod(a.neg(),b),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.isub(a)),{div:h.div,mod:g}):a.length>this.length||this.cmp(a)<0?{div:new f(0),mod:this}:1===a.length?"div"===b?{div:this.divn(a.words[0]),mod:null}:"mod"===b?{div:null,mod:new f(this.modn(a.words[0]))}:{div:this.divn(a.words[0]),mod:new f(this.modn(a.words[0]))}:this._wordDiv(a,b)},f.prototype.div=function(a){return this.divmod(a,"div",!1).div},f.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod},f.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod},f.prototype.divRound=function(a){var b=this.divmod(a);if(b.mod.isZero())return b.div;var c=0!==b.div.negative?b.mod.isub(a):b.mod,d=a.ushrn(1),e=a.andln(1),f=c.cmp(d);return f<0||1===e&&0===f?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)},f.prototype.modn=function(a){d(a<=67108863);for(var b=(1<<26)%a,c=0,e=this.length-1;e>=0;e--)c=(b*c+(0|this.words[e]))%a;return c},f.prototype.idivn=function(a){d(a<=67108863);for(var b=0,c=this.length-1;c>=0;c--){var e=(0|this.words[c])+67108864*b;this.words[c]=e/a|0,b=e%a}return this.strip()},f.prototype.divn=function(a){return this.clone().idivn(a)},f.prototype.egcd=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=new f(0),i=new f(1),j=0;b.isEven()&&c.isEven();)b.iushrn(1),c.iushrn(1),++j;for(var k=c.clone(),l=b.clone();!b.isZero();){for(var m=0,n=1;0===(b.words[0]&n)&&m<26;++m,n<<=1);if(m>0)for(b.iushrn(m);m-- >0;)(e.isOdd()||g.isOdd())&&(e.iadd(k),g.isub(l)),e.iushrn(1),g.iushrn(1);for(var o=0,p=1;0===(c.words[0]&p)&&o<26;++o,p<<=1);if(o>0)for(c.iushrn(o);o-- >0;)(h.isOdd()||i.isOdd())&&(h.iadd(k),i.isub(l)),h.iushrn(1),i.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(h),g.isub(i)):(c.isub(b),h.isub(e),i.isub(g))}return{a:h,b:i,gcd:c.iushln(j)}},f.prototype._invmp=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=c.clone();b.cmpn(1)>0&&c.cmpn(1)>0;){for(var i=0,j=1;0===(b.words[0]&j)&&i<26;++i,j<<=1);if(i>0)for(b.iushrn(i);i-- >0;)e.isOdd()&&e.iadd(h),e.iushrn(1);for(var k=0,l=1;0===(c.words[0]&l)&&k<26;++k,l<<=1);if(k>0)for(c.iushrn(k);k-- >0;)g.isOdd()&&g.iadd(h),g.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(g)):(c.isub(b),g.isub(e))}var m;return m=0===b.cmpn(1)?e:g,m.cmpn(0)<0&&m.iadd(a),m},f.prototype.gcd=function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone(),c=a.clone();b.negative=0,c.negative=0;for(var d=0;b.isEven()&&c.isEven();d++)b.iushrn(1),c.iushrn(1);for(;;){for(;b.isEven();)b.iushrn(1);for(;c.isEven();)c.iushrn(1);var e=b.cmp(c);if(e<0){var f=b;b=c,c=f}else if(0===e||0===c.cmpn(1))break;b.isub(c)}return c.iushln(d)},f.prototype.invm=function(a){return this.egcd(a).a.umod(a)},f.prototype.isEven=function(){return 0===(1&this.words[0])},f.prototype.isOdd=function(){return 1===(1&this.words[0])},f.prototype.andln=function(a){return this.words[0]&a},f.prototype.bincn=function(a){d("number"==typeof a);var b=a%26,c=(a-b)/26,e=1<>>26,h&=67108863,this.words[g]=h}return 0!==f&&(this.words[g]=f,this.length++),this},f.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},f.prototype.cmpn=function(a){var b=a<0;if(0!==this.negative&&!b)return-1;if(0===this.negative&&b)return 1;this.strip();var c;if(this.length>1)c=1;else{b&&(a=-a),d(a<=67108863,"Number is too big");var e=0|this.words[0];c=e===a?0:ea.length)return 1;if(this.length=0;c--){var d=0|this.words[c],e=0|a.words[c];if(d!==e){de&&(b=1);break}}return b},f.prototype.gtn=function(a){return 1===this.cmpn(a)},f.prototype.gt=function(a){return 1===this.cmp(a)},f.prototype.gten=function(a){return this.cmpn(a)>=0},f.prototype.gte=function(a){return this.cmp(a)>=0},f.prototype.ltn=function(a){return this.cmpn(a)===-1},f.prototype.lt=function(a){return this.cmp(a)===-1},f.prototype.lten=function(a){return this.cmpn(a)<=0},f.prototype.lte=function(a){return this.cmp(a)<=0},f.prototype.eqn=function(a){return 0===this.cmpn(a)},f.prototype.eq=function(a){return 0===this.cmp(a)},f.red=function(a){return new s(a)},f.prototype.toRed=function(a){return d(!this.red,"Already a number in reduction context"),d(0===this.negative,"red works only with positives"),a.convertTo(this)._forceRed(a)},f.prototype.fromRed=function(){return d(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},f.prototype._forceRed=function(a){return this.red=a,this},f.prototype.forceRed=function(a){return d(!this.red,"Already a number in reduction context"),this._forceRed(a)},f.prototype.redAdd=function(a){return d(this.red,"redAdd works only with red numbers"),this.red.add(this,a)},f.prototype.redIAdd=function(a){return d(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,a)},f.prototype.redSub=function(a){return d(this.red,"redSub works only with red numbers"),this.red.sub(this,a)},f.prototype.redISub=function(a){return d(this.red,"redISub works only with red numbers"),this.red.isub(this,a)},f.prototype.redShl=function(a){return d(this.red,"redShl works only with red numbers"),this.red.shl(this,a)},f.prototype.redMul=function(a){return d(this.red,"redMul works only with red numbers"),this.red._verify2(this,a),this.red.mul(this,a)},f.prototype.redIMul=function(a){return d(this.red,"redMul works only with red numbers"),this.red._verify2(this,a),this.red.imul(this,a)},f.prototype.redSqr=function(){return d(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},f.prototype.redISqr=function(){return d(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},f.prototype.redSqrt=function(){return d(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},f.prototype.redInvm=function(){return d(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},f.prototype.redNeg=function(){return d(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},f.prototype.redPow=function(a){return d(this.red&&!a.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,a)};var A={k256:null,p224:null,p192:null,p25519:null};n.prototype._tmp=function(){var a=new f(null);return a.words=new Array(Math.ceil(this.n/13)),a},n.prototype.ireduce=function(a){var b,c=a;do this.split(c,this.tmp),c=this.imulK(c),c=c.iadd(this.tmp),b=c.bitLength();while(b>this.n);var d=b0?c.isub(this.p):c.strip(),c},n.prototype.split=function(a,b){a.iushrn(this.n,0,b)},n.prototype.imulK=function(a){return a.imul(this.k)},e(o,n),o.prototype.split=function(a,b){for(var c=4194303,d=Math.min(a.length,9),e=0;e>>22,f=g}f>>>=22,a.words[e-10]=f,0===f&&a.length>10?a.length-=10:a.length-=9},o.prototype.imulK=function(a){a.words[a.length]=0,a.words[a.length+1]=0,a.length+=2;for(var b=0,c=0;c>>=26,a.words[c]=e,b=d}return 0!==b&&(a.words[a.length++]=b),a},f._prime=function B(a){if(A[a])return A[a];var B;if("k256"===a)B=new o;else if("p224"===a)B=new p;else if("p192"===a)B=new q;else{if("p25519"!==a)throw new Error("Unknown prime "+a);B=new r}return A[a]=B,B},s.prototype._verify1=function(a){d(0===a.negative,"red works only with positives"),d(a.red,"red works only with red numbers")},s.prototype._verify2=function(a,b){d(0===(a.negative|b.negative),"red works only with positives"),d(a.red&&a.red===b.red,"red works only with red numbers")},s.prototype.imod=function(a){return this.prime?this.prime.ireduce(a)._forceRed(this):a.umod(this.m)._forceRed(this)},s.prototype.neg=function(a){return a.isZero()?a.clone():this.m.sub(a)._forceRed(this)},s.prototype.add=function(a,b){this._verify2(a,b);var c=a.add(b);return c.cmp(this.m)>=0&&c.isub(this.m),c._forceRed(this)},s.prototype.iadd=function(a,b){this._verify2(a,b);var c=a.iadd(b);return c.cmp(this.m)>=0&&c.isub(this.m),c},s.prototype.sub=function(a,b){this._verify2(a,b);var c=a.sub(b);return c.cmpn(0)<0&&c.iadd(this.m),c._forceRed(this)},s.prototype.isub=function(a,b){this._verify2(a,b);var c=a.isub(b);return c.cmpn(0)<0&&c.iadd(this.m),c},s.prototype.shl=function(a,b){return this._verify1(a),this.imod(a.ushln(b))},s.prototype.imul=function(a,b){return this._verify2(a,b),this.imod(a.imul(b))},s.prototype.mul=function(a,b){return this._verify2(a,b),this.imod(a.mul(b))},s.prototype.isqr=function(a){return this.imul(a,a.clone())},s.prototype.sqr=function(a){return this.mul(a,a)},s.prototype.sqrt=function(a){if(a.isZero())return a.clone();var b=this.m.andln(3);if(d(b%2===1),3===b){var c=this.m.add(new f(1)).iushrn(2);return this.pow(a,c)}for(var e=this.m.subn(1),g=0;!e.isZero()&&0===e.andln(1);)g++,e.iushrn(1);d(!e.isZero());var h=new f(1).toRed(this),i=h.redNeg(),j=this.m.subn(1).iushrn(1),k=this.m.bitLength();for(k=new f(2*k*k).toRed(this);0!==this.pow(k,j).cmp(i);)k.redIAdd(i);for(var l=this.pow(k,e),m=this.pow(a,e.addn(1).iushrn(1)),n=this.pow(a,e),o=g;0!==n.cmp(h);){for(var p=n,q=0;0!==p.cmp(h);q++)p=p.redSqr();d(q=0;e--){for(var k=b.words[e],l=j-1;l>=0;l--){var m=k>>l&1;g!==d[0]&&(g=this.sqr(g)),0!==m||0!==h?(h<<=1,h|=m,i++,(i===c||0===e&&0===l)&&(g=this.mul(g,d[h]),i=0,h=0)):i=0}j=26}return g},s.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b},s.prototype.convertFrom=function(a){var b=a.clone();return b.red=null,b},f.mont=function(a){return new t(a)},e(t,s),t.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))},t.prototype.convertFrom=function(a){var b=this.imod(a.mul(this.rinv));return b.red=null,b},t.prototype.imul=function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var c=a.imul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),f=e;return e.cmp(this.m)>=0?f=e.isub(this.m):e.cmpn(0)<0&&(f=e.iadd(this.m)),f._forceRed(this)},t.prototype.mul=function(a,b){if(a.isZero()||b.isZero())return new f(0)._forceRed(this);var c=a.mul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),g=e;return e.cmp(this.m)>=0?g=e.isub(this.m):e.cmpn(0)<0&&(g=e.iadd(this.m)),g._forceRed(this)},t.prototype.invm=function(a){var b=this.imod(a._invmp(this.m).mul(this.r2));return b._forceRed(this)}}("undefined"==typeof b||b,this)},{buffer:18}],17:[function(a,b,c){function d(a){this.rand=a}var e;if(b.exports=function(a){return e||(e=new d(null)),e.generate(a)},b.exports.Rand=d,d.prototype.generate=function(a){return this._rand(a)},d.prototype._rand=function(a){if(this.rand.getBytes)return this.rand.getBytes(a);for(var b=new Uint8Array(a),c=0;c=this._delta8){a=this.pending;var c=a.length%this._delta8;this.pending=a.slice(a.length-c,a.length),0===this.pending.length&&(this.pending=null),a=e.join32(a,0,a.length-c,this.endian);for(var d=0;d>>24&255,d[e++]=a>>>16&255,d[e++]=a>>>8&255,d[e++]=255&a}else for(d[e++]=255&a,d[e++]=a>>>8&255,d[e++]=a>>>16&255,d[e++]=a>>>24&255,d[e++]=0,d[e++]=0,d[e++]=0,d[e++]=0,f=8;fthis.blockSize&&(a=(new this.Hash).update(a).digest()),f(a.length<=this.blockSize);for(var b=a.length;b>>3}function k(a){return m(a,17)^m(a,19)^a>>>10}var l=a("../utils"),m=l.rotr32;c.ft_1=d,c.ch32=e,c.maj32=f,c.p32=g,c.s0_256=h,c.s1_256=i,c.g0_256=j,c.g1_256=k},{"../utils":30}],30:[function(a,b,c){"use strict";function d(a,b){return 55296===(64512&a.charCodeAt(b))&&(!(b<0||b+1>=a.length)&&56320===(64512&a.charCodeAt(b+1)))}function e(a,b){if(Array.isArray(a))return a.slice();if(!a)return[];var c=[];if("string"==typeof a)if(b){if("hex"===b)for(a=a.replace(/[^a-z0-9]+/gi,""),a.length%2!==0&&(a="0"+a),f=0;f>6|192,c[e++]=63&g|128):d(a,f)?(g=65536+((1023&g)<<10)+(1023&a.charCodeAt(++f)),c[e++]=g>>18|240,c[e++]=g>>12&63|128,c[e++]=g>>6&63|128,c[e++]=63&g|128):(c[e++]=g>>12|224,c[e++]=g>>6&63|128,c[e++]=63&g|128)}else for(f=0;f>>24|a>>>8&65280|a<<8&16711680|(255&a)<<24;return b>>>0}function h(a,b){for(var c="",d=0;d>>0}return f}function l(a,b){for(var c=new Array(4*a.length),d=0,e=0;d>>24,c[e+1]=f>>>16&255,c[e+2]=f>>>8&255,c[e+3]=255&f):(c[e+3]=f>>>24,c[e+2]=f>>>16&255,c[e+1]=f>>>8&255,c[e]=255&f)}return c}function m(a,b){return a>>>b|a<<32-b}function n(a,b){return a<>>32-b}function o(a,b){return a+b>>>0}function p(a,b,c){return a+b+c>>>0}function q(a,b,c,d){return a+b+c+d>>>0}function r(a,b,c,d,e){return a+b+c+d+e>>>0}function s(a,b,c,d){var e=a[b],f=a[b+1],g=d+f>>>0,h=(g>>0,a[b+1]=g}function t(a,b,c,d){var e=b+d>>>0,f=(e>>0}function u(a,b,c,d){var e=b+d;return e>>>0}function v(a,b,c,d,e,f,g,h){var i=0,j=b;j=j+d>>>0,i+=j>>0,i+=j>>0,i+=j>>0}function w(a,b,c,d,e,f,g,h){var i=b+d+f+h;return i>>>0}function x(a,b,c,d,e,f,g,h,i,j){var k=0,l=b;l=l+d>>>0,k+=l>>0,k+=l>>0,k+=l>>0,k+=l>>0}function y(a,b,c,d,e,f,g,h,i,j){var k=b+d+f+h+j;return k>>>0}function z(a,b,c){var d=b<<32-c|a>>>c;return d>>>0}function A(a,b,c){var d=a<<32-c|b>>>c;return d>>>0}function B(a,b,c){return a>>>c}function C(a,b,c){var d=a<<32-c|b>>>c;return d>>>0}var D=a("minimalistic-assert"),E=a("inherits");c.inherits=E,c.toArray=e,c.toHex=f,c.htonl=g,c.toHex32=h,c.zero2=i,c.zero8=j,c.join32=k,c.split32=l,c.rotr32=m,c.rotl32=n,c.sum32=o,c.sum32_3=p,c.sum32_4=q,c.sum32_5=r,c.sum64=s,c.sum64_hi=t,c.sum64_lo=u,c.sum64_4_hi=v,c.sum64_4_lo=w,c.sum64_5_hi=x,c.sum64_5_lo=y,c.rotr64_hi=z,c.rotr64_lo=A,c.shr64_hi=B,c.shr64_lo=C},{inherits:32,"minimalistic-assert":33}],31:[function(a,b,c){"use strict";function d(a){if(!(this instanceof d))return new d(a);this.hash=a.hash,this.predResist=!!a.predResist,this.outLen=this.hash.outSize,this.minEntropy=a.minEntropy||this.hash.hmacStrength,this._reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var b=f.toArray(a.entropy,a.entropyEnc||"hex"),c=f.toArray(a.nonce,a.nonceEnc||"hex"),e=f.toArray(a.pers,a.persEnc||"hex");g(b.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._init(b,c,e)}var e=a("hash.js"),f=a("minimalistic-crypto-utils"),g=a("minimalistic-assert");b.exports=d,d.prototype._init=function(a,b,c){var d=a.concat(b).concat(c);this.K=new Array(this.outLen/8),this.V=new Array(this.outLen/8);for(var e=0;e=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._update(a.concat(c||[])),this._reseed=1},d.prototype.generate=function(a,b,c,d){if(this._reseed>this.reseedInterval)throw new Error("Reseed is required");"string"!=typeof b&&(d=c,c=b,b=null),c&&(c=f.toArray(c,d||"hex"),this._update(c)); -for(var e=[];e.length>8,g=255&e;f?c.push(f,g):c.push(g)}return c}function e(a){return 1===a.length?"0"+a:a}function f(a){for(var b="",c=0;c",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-cli":"^1.2.0","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","hmac-drbg":"^1.0.0",inherits:"^2.0.1","minimalistic-assert":"^1.0.0","minimalistic-crypto-utils":"^1.0.0"}}},{}]},{},[1])(1)}); \ No newline at end of file +for(var e=[];e.length>8,g=255&e;f?c.push(f,g):c.push(g)}return c}function e(a){return 1===a.length?"0"+a:a}function f(a){for(var b="",c=0;c",license:"MIT",bugs:{url:"https://github.com/indutny/elliptic/issues"},homepage:"https://github.com/indutny/elliptic",devDependencies:{brfs:"^1.4.3",coveralls:"^3.0.4",grunt:"^1.0.4","grunt-browserify":"^5.0.0","grunt-cli":"^1.2.0","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":"^9.0.1",istanbul:"^0.4.2",jscs:"^3.0.7",jshint:"^2.6.0",mocha:"^6.1.4"},dependencies:{"bn.js":"^4.4.0",brorand:"^1.0.1","hash.js":"^1.0.0","hmac-drbg":"^1.0.0",inherits:"^2.0.1","minimalistic-assert":"^1.0.0","minimalistic-crypto-utils":"^1.0.0"}}},{}]},{},[1])(1)}); \ No newline at end of file diff --git a/package-lock.json b/package-lock.json index 5cb4b948..efb9c1c2 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,6 +1,6 @@ { "name": "elliptic", - "version": "6.5.0", + "version": "6.5.1", "lockfileVersion": 1, "requires": true, "dependencies": { diff --git a/package.json b/package.json index 9d87e0af..07774c10 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "elliptic", - "version": "6.5.0", + "version": "6.5.1", "description": "EC cryptography", "main": "lib/elliptic.js", "files": [ From ec735edde187a43693197f6fa3667ceade751a3a Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Fri, 22 Nov 2019 11:01:25 -0800 Subject: [PATCH 06/15] utils: leak less information in `getNAF()` --- lib/elliptic/curve/base.js | 10 ++++++---- lib/elliptic/utils.js | 19 +++++++++---------- 2 files changed, 15 insertions(+), 14 deletions(-) diff --git a/lib/elliptic/curve/base.js b/lib/elliptic/curve/base.js index 3ce313a5..83ffe9fe 100644 --- a/lib/elliptic/curve/base.js +++ b/lib/elliptic/curve/base.js @@ -28,6 +28,8 @@ function BaseCurve(type, conf) { this._wnafT3 = new Array(4); this._wnafT4 = new Array(4); + this._bitLength = this.n ? this.n.bitLength() : 0; + // Generalized Greg Maxwell's trick var adjustCount = this.n && this.p.div(this.n); if (!adjustCount || adjustCount.cmpn(100) > 0) { @@ -51,7 +53,7 @@ BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { assert(p.precomputed); var doubles = p._getDoubles(); - var naf = getNAF(k, 1); + var naf = getNAF(k, 1, this._bitLength); var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); I /= 3; @@ -88,7 +90,7 @@ BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { var wnd = nafPoints.points; // Get NAF form - var naf = getNAF(k, w); + var naf = getNAF(k, w, this._bitLength); // Add `this`*(N+1) for every w-NAF index var acc = this.jpoint(null, null, null); @@ -144,8 +146,8 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, 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]); + naf[a] = getNAF(coeffs[a], wndWidth[a], this._bitLength); + naf[b] = getNAF(coeffs[b], wndWidth[b], this._bitLength); max = Math.max(naf[a].length, max); max = Math.max(naf[b].length, max); continue; diff --git a/lib/elliptic/utils.js b/lib/elliptic/utils.js index 98273814..f6d5616d 100644 --- a/lib/elliptic/utils.js +++ b/lib/elliptic/utils.js @@ -12,14 +12,17 @@ utils.toHex = minUtils.toHex; utils.encode = minUtils.encode; // Represent num in a w-NAF form -function getNAF(num, w) { - var naf = []; +function getNAF(num, w, bits) { + var naf = new Array(Math.max(num.bitLength(), bits) + 1); + naf.fill(0); + var ws = 1 << (w + 1); var k = num.clone(); - while (k.cmpn(1) >= 0) { + + for (var i = 0; i < naf.length; i++) { var z; + var mod = k.andln(ws - 1); if (k.isOdd()) { - var mod = k.andln(ws - 1); if (mod > (ws >> 1) - 1) z = (ws >> 1) - mod; else @@ -28,13 +31,9 @@ function getNAF(num, w) { } 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); + naf[i] = z; + k.iushrn(1); } return naf; From 9984964457c9f8a63b91b01ea103260417eca237 Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Fri, 22 Nov 2019 11:06:40 -0800 Subject: [PATCH 07/15] package: bump dependencies --- package-lock.json | 683 ++++++++++++++++++++-------------------------- package.json | 6 +- 2 files changed, 299 insertions(+), 390 deletions(-) diff --git a/package-lock.json b/package-lock.json index efb9c1c2..e107c6b1 100644 --- a/package-lock.json +++ b/package-lock.json @@ -902,9 +902,9 @@ }, "dependencies": { "glob": { - "version": "7.1.4", - "resolved": "https://registry.npmjs.org/glob/-/glob-7.1.4.tgz", - "integrity": "sha512-hkLPepehmnKk41pUGm3sYxoFs/umurYfYJCerbXEyFIWcAzvpipAgVkBqqT9RBKMGjnq6kMuyYwha6csxbiM1A==", + "version": "7.1.6", + "resolved": "https://registry.npmjs.org/glob/-/glob-7.1.6.tgz", + "integrity": "sha512-LwaxwyZ72Lk7vZINtNNrywX0ZuLyStrdDtabefZKAY5ZGJhVtgdznluResxNmPitE0SAO+O26sWTHeKSI2wMBA==", "dev": true, "requires": { "fs.realpath": "^1.0.0", @@ -914,15 +914,6 @@ "once": "^1.3.0", "path-is-absolute": "^1.0.0" } - 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"string-width": "^2.1.1", - "strip-ansi": "^4.0.0", - "wrap-ansi": "^2.0.0" + "string-width": "^3.1.0", + "strip-ansi": "^5.2.0", + "wrap-ansi": "^5.1.0" } }, "find-up": { @@ -7172,55 +7088,48 @@ "locate-path": "^3.0.0" } }, - "get-caller-file": { - "version": "1.0.3", - "resolved": "https://registry.npmjs.org/get-caller-file/-/get-caller-file-1.0.3.tgz", - "integrity": "sha512-3t6rVToeoZfYSGd8YoLFR2DJkiQrIiUrGcjvFX2mDw3bn6k2OtwHN0TNCLbBO+w8qTvimhDkv+LSscbJY1vE6w==", + "lodash": { + "version": "4.17.15", + "resolved": "https://registry.npmjs.org/lodash/-/lodash-4.17.15.tgz", + "integrity": "sha512-8xOcRHvCjnocdS5cpwXQXVzmmh5e5+saE2QGoeQmbKmRS6J3VQppPOIt0MnmE+4xlZoumy0GPG0D0MVIQbNA1A==", "dev": true }, - "require-main-filename": { - "version": "1.0.1", - "resolved": "https://registry.npmjs.org/require-main-filename/-/require-main-filename-1.0.1.tgz", - "integrity": "sha1-l/cXtp1IeE9fUmpsWqj/3aBVpNE=", - "dev": true + "string-width": { + "version": "3.1.0", + "resolved": "https://registry.npmjs.org/string-width/-/string-width-3.1.0.tgz", + "integrity": "sha512-vafcv6KjVZKSgz06oM/H6GDBrAtz8vdhQakGjFIvNrHA6y3HCF1CInLy+QLq8dTJPQ1b+KDUqDFctkdRW44e1w==", + "dev": true, + "requires": { + "emoji-regex": "^7.0.1", + "is-fullwidth-code-point": "^2.0.0", + "strip-ansi": "^5.1.0" + } }, "strip-ansi": { - 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"os-locale": "^3.0.0", + "get-caller-file": "^2.0.1", "require-directory": "^2.1.1", - "require-main-filename": "^1.0.1", + "require-main-filename": "^2.0.0", "set-blocking": "^2.0.0", - "string-width": "^2.0.0", + "string-width": "^3.0.0", "which-module": "^2.0.0", - "y18n": "^3.2.1 || ^4.0.0", - "yargs-parser": "^11.1.1" - } - }, - "yargs-parser": { - "version": "11.1.1", - "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-11.1.1.tgz", - "integrity": "sha512-C6kB/WJDiaxONLJQnF8ccx9SEeoTTLek8RVbaOIsrAUS8VrBEXfmeSnCZxygc+XC2sNMBIwOOnfcxiynjHsVSQ==", - "dev": true, - "requires": { - "camelcase": "^5.0.0", - "decamelize": "^1.2.0" + "y18n": "^4.0.0", + "yargs-parser": "^13.1.1" } } } diff --git a/package.json b/package.json index 07774c10..d6dd52e9 100644 --- a/package.json +++ b/package.json @@ -32,7 +32,7 @@ "homepage": "https://github.com/indutny/elliptic", "devDependencies": { "brfs": "^1.4.3", - "coveralls": "^3.0.4", + "coveralls": "^3.0.8", "grunt": "^1.0.4", "grunt-browserify": "^5.0.0", "grunt-cli": "^1.2.0", @@ -43,8 +43,8 @@ "grunt-saucelabs": "^9.0.1", "istanbul": "^0.4.2", "jscs": "^3.0.7", - "jshint": "^2.6.0", - "mocha": "^6.1.4" + "jshint": "^2.10.3", + "mocha": "^6.2.2" }, "dependencies": { "bn.js": "^4.4.0", From 60489415e545efdfd3010ae74b9726facbf08ca8 Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Fri, 22 Nov 2019 11:06:54 -0800 Subject: [PATCH 08/15] 6.5.2 --- dist/elliptic.js | 37 +++++++++++++++++++------------------ dist/elliptic.min.js | 10 +++++----- package-lock.json | 2 +- package.json | 2 +- 4 files changed, 26 insertions(+), 25 deletions(-) diff --git a/dist/elliptic.js b/dist/elliptic.js index b85283ae..f01bdd83 100644 --- a/dist/elliptic.js +++ b/dist/elliptic.js @@ -44,6 +44,8 @@ function BaseCurve(type, conf) { this._wnafT3 = new Array(4); this._wnafT4 = new Array(4); + this._bitLength = this.n ? this.n.bitLength() : 0; + // Generalized Greg Maxwell's trick var adjustCount = this.n && this.p.div(this.n); if (!adjustCount || adjustCount.cmpn(100) > 0) { @@ -67,7 +69,7 @@ BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { assert(p.precomputed); var doubles = p._getDoubles(); - var naf = getNAF(k, 1); + var naf = getNAF(k, 1, this._bitLength); var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); I /= 3; @@ -104,7 +106,7 @@ BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { var wnd = nafPoints.points; // Get NAF form - var naf = getNAF(k, w); + var naf = getNAF(k, w, this._bitLength); // Add `this`*(N+1) for every w-NAF index var acc = this.jpoint(null, null, null); @@ -160,8 +162,8 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, 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]); + naf[a] = getNAF(coeffs[a], wndWidth[a], this._bitLength); + naf[b] = getNAF(coeffs[b], wndWidth[b], this._bitLength); max = Math.max(naf[a].length, max); max = Math.max(naf[b].length, max); continue; @@ -3740,14 +3742,17 @@ utils.toHex = minUtils.toHex; utils.encode = minUtils.encode; // Represent num in a w-NAF form -function getNAF(num, w) { - var naf = []; +function getNAF(num, w, bits) { + var naf = new Array(Math.max(num.bitLength(), bits) + 1); + naf.fill(0); + var ws = 1 << (w + 1); var k = num.clone(); - while (k.cmpn(1) >= 0) { + + for (var i = 0; i < naf.length; i++) { var z; + var mod = k.andln(ws - 1); if (k.isOdd()) { - var mod = k.andln(ws - 1); if (mod > (ws >> 1) - 1) z = (ws >> 1) - mod; else @@ -3756,13 +3761,9 @@ function getNAF(num, w) { } 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); + naf[i] = z; + k.iushrn(1); } return naf; @@ -8797,7 +8798,7 @@ utils.encode = function encode(arr, enc) { },{}],35:[function(require,module,exports){ module.exports={ "name": "elliptic", - "version": "6.5.1", + "version": "6.5.2", "description": "EC cryptography", "main": "lib/elliptic.js", "files": [ @@ -8829,7 +8830,7 @@ module.exports={ "homepage": "https://github.com/indutny/elliptic", "devDependencies": { "brfs": "^1.4.3", - "coveralls": "^3.0.4", + "coveralls": "^3.0.8", "grunt": "^1.0.4", "grunt-browserify": "^5.0.0", "grunt-cli": "^1.2.0", @@ -8840,8 +8841,8 @@ module.exports={ "grunt-saucelabs": "^9.0.1", "istanbul": "^0.4.2", "jscs": "^3.0.7", - "jshint": "^2.6.0", - "mocha": "^6.1.4" + "jshint": "^2.10.3", + "mocha": "^6.2.2" }, "dependencies": { "bn.js": "^4.4.0", diff --git a/dist/elliptic.min.js b/dist/elliptic.min.js index c748f351..743f2aa7 100644 --- a/dist/elliptic.min.js +++ b/dist/elliptic.min.js @@ -1,5 +1,5 @@ -!function(a){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=a();else if("function"==typeof define&&define.amd)define([],a);else{var b;b="undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this,b.elliptic=a()}}(function(){return function(){function a(b,c,d){function e(g,h){if(!c[g]){if(!b[g]){var i="function"==typeof require&&require;if(!h&&i)return i(g,!0);if(f)return f(g,!0);var j=new Error("Cannot find module '"+g+"'");throw j.code="MODULE_NOT_FOUND",j}var k=c[g]={exports:{}};b[g][0].call(k.exports,function(a){var c=b[g][1][a];return e(c||a)},k,k.exports,a,b,c,d)}return c[g].exports}for(var f="function"==typeof require&&require,g=0;g0?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function e(a,b){this.curve=a,this.type=b,this.precomputed=null}var f=a("bn.js"),g=a("../utils"),h=g.getNAF,i=g.getJSF,j=g.assert;b.exports=d,d.prototype.point=function(){throw new Error("Not implemented")},d.prototype.validate=function(){throw new Error("Not implemented")},d.prototype._fixedNafMul=function(a,b){j(a.precomputed);var c=a._getDoubles(),d=h(b,1),e=(1<=g;b--)i=(i<<1)+d[b];f.push(i)}for(var k=this.jpoint(null,null,null),l=this.jpoint(null,null,null),m=e;m>0;m--){for(var g=0;g=0;i--){for(var b=0;i>=0&&0===f[i];i--)b++;if(i>=0&&b++,g=g.dblp(b),i<0)break;var k=f[i];j(0!==k),g="affine"===a.type?k>0?g.mixedAdd(e[k-1>>1]):g.mixedAdd(e[-k-1>>1].neg()):k>0?g.add(e[k-1>>1]):g.add(e[-k-1>>1].neg())}return"affine"===a.type?g.toP():g},d.prototype._wnafMulAdd=function(a,b,c,d,e){for(var f=this._wnafT1,g=this._wnafT2,j=this._wnafT3,k=0,l=0;l=1;l-=2){var o=l-1,p=l;if(1===f[o]&&1===f[p]){var q=[b[o],null,null,b[p]];0===b[o].y.cmp(b[p].y)?(q[1]=b[o].add(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg())):0===b[o].y.cmp(b[p].y.redNeg())?(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].add(b[p].neg())):(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg()));var r=[-3,-1,-5,-7,0,7,5,1,3],s=i(c[o],c[p]);k=Math.max(s[0].length,k),j[o]=new Array(k),j[p]=new Array(k);for(var t=0;t=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t0?m=g[t][A-1>>1]:A<0&&(m=g[t][-A-1>>1].neg()),w="affine"===m.type?w.mixedAdd(m):w.add(m))}}for(var l=0;l=Math.ceil((a.bitLength()+1)/b.step)},e.prototype._getDoubles=function(a,b){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var c=[this],d=this,e=0;e":""},e.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.z).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)},e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return this.x=this.x.redMul(a),this.y=this.y.redMul(a),this.t&&(this.t=this.t.redMul(a)),this.z=this.curve.one,this.zOne=!0,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),this.y.fromRed()},e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())},e.prototype.eqXToP=function(a){var b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){h.call(this,"mont",a),this.a=new f(a.a,16).toRed(this.red),this.b=new f(a.b,16).toRed(this.red),this.i4=new f(4).toRed(this.red).redInvm(),this.two=new f(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){h.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new f(b,16),this.z=new f(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("bn.js"),g=a("inherits"),h=a("./base"),i=a("../utils");g(d,h),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},g(e,h.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(i.toArray(a,b),1)},d.prototype.point=function(a,b){return new e(this,a,b)},d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},e.prototype.precompute=function(){},e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)},e.prototype.inspect=function(){return this.isInfinity()?"":""},e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},e.prototype.dbl=function(){var a=this.x.redAdd(this.z),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(a,b,c){"use strict";function d(a){j.call(this,"short",a),this.a=new h(a.a,16).toRed(this.red),this.b=new h(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(a),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){j.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new h(b,16),this.y=new h(c,16),d&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function f(a,b,c,d){j.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new h(0)):(this.x=new h(b,16),this.y=new h(c,16),this.z=new h(d,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}var g=a("../utils"),h=a("bn.js"),i=a("inherits"),j=a("./base"),k=g.assert;i(d,j),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new h(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new h(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],k(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new h(a.a,16),b:new h(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:h.mont(a),c=new h(2).toRed(b).redInvm(),d=c.redNeg(),e=new h(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,i,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new h(1),p=new h(0),q=new h(0),r=new h(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=i.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;i=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f":""},e.prototype.isInfinity=function(){return this.inf},e.prototype.add=function(a){if(this.inf)return a;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new h(a,16),this.isInfinity()?this:this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))},e.prototype.neg=function(a){if(this.inf)return this;var b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},i(f,j.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"":""},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h["short"](a):"edwards"===a.type?this.curve=new h.edwards(a):this.curve=new h.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,j(this.g.validate(),"Invalid curve"),j(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("./curve"),i=a("./utils"),j=i.assert;f.PresetCurve=d,e("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:g.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),e("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:g.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),e("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:g.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),e("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:g.sha384,gRed:!1,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"]}),e("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:g.sha512,gRed:!1,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"]}),e("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["9"]}),e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});var k;try{k=a("./precomputed/secp256k1")}catch(l){k=void 0}e("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:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",k]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(j(h.hasOwnProperty(a),"Unknown curve "+a),a=h[a]),a instanceof h.PresetCurve&&(a={curve:a}),this.curve=a.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=a.curve.g,this.g.precompute(a.curve.n.bitLength()+1),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../utils"),h=a("../curves"),i=a("brorand"),j=g.assert,k=a("./key"),l=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new k(this,a)},d.prototype.keyFromPrivate=function(a,b){return k.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return k.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||i(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var g=new e(b.generate(c));if(!(g.cmp(d)>0))return g.iaddn(1),this.keyFromPrivate(g)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(k)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new l({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new l(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var k=this.g.mulAdd(i,c.getPublic(),j);return!k.isInfinity()&&0===k.getX().umod(this.n).cmp(f)}var k=this.g.jmulAdd(i,c.getPublic(),j);return!k.isInfinity()&&k.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){j((3&c)===c,"The recovery param is more than two bits"),b=new l(b,d);var f=this.n,g=new e(a),h=b.r,i=b.s,k=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),k):this.curve.pointFromX(h,k);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=i.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new l(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../utils"),g=f.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?g(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||g(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(k(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;for(var d=15&c,e=0,f=0,g=b.place;f>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../utils"),k=j.assert;b.exports=d,d.prototype._importDER=function(a,b){a=j.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c),h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var k=f(a,c);if(a.length!==k+c.place)return!1;var l=a.slice(c.place,k+c.place);return 0===h[0]&&128&h[1]&&(h=h.slice(1)),0===l[0]&&128&l[1]&&(l=l.slice(1)),this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),j.encode(f,a)}},{"../utils":15,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../curves"),g=a("../utils"),h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b=0;){var f;if(e.isOdd()){var g=e.andln(d-1);f=g>(d>>1)-1?(d>>1)-g:g,e.isubn(f)}else f=0;c.push(f);for(var h=0!==e.cmpn(0)&&0===e.andln(d-1)?b+1:1,i=1;i0||b.cmpn(-e)>0;){var f=a.andln(3)+d&3,g=b.andln(3)+e&3;3===f&&(f=-1),3===g&&(g=-1);var h;if(0===(1&f))h=0;else{var i=a.andln(7)+d&7;h=3!==i&&5!==i||2!==g?f:-f}c[0].push(h);var j;if(0===(1&g))j=0;else{var i=b.andln(7)+e&7;j=3!==i&&5!==i||2!==f?g:-g}c[1].push(j),2*d===h+1&&(d=1-d),2*e===j+1&&(e=1-e),a.iushrn(1),b.iushrn(1)}return c}function f(a,b,c){var d="_"+b;a.prototype[b]=function(){return void 0!==this[d]?this[d]:this[d]=c.call(this)}}function g(a){return"string"==typeof a?i.toArray(a,"hex"):a}function h(a){return new j(a,"hex","le")}var i=c,j=a("bn.js"),k=a("minimalistic-assert"),l=a("minimalistic-crypto-utils");i.assert=k,i.toArray=l.toArray,i.zero2=l.zero2,i.toHex=l.toHex,i.encode=l.encode,i.getNAF=d,i.getJSF=e,i.cachedProperty=f,i.parseBytes=g,i.intFromLE=h},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(a,b,c){!function(b,c){"use strict";function d(a,b){if(!a)throw new Error(b||"Assertion failed")}function e(a,b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}function f(a,b,c){return f.isBN(a)?a:(this.negative=0,this.words=null,this.length=0,this.red=null,void(null!==a&&("le"!==b&&"be"!==b||(c=b,b=10),this._init(a||0,b||10,c||"be"))))}function g(a,b,c){for(var d=0,e=Math.min(a.length,c),f=b;f=49&&g<=54?g-49+10:g>=17&&g<=22?g-17+10:15&g}return d}function h(a,b,c,d){for(var e=0,f=Math.min(a.length,c),g=b;g=49?h-49+10:h>=17?h-17+10:h}return e}function i(a){for(var b=new Array(a.bitLength()),c=0;c>>e}return b}function j(a,b,c){c.negative=b.negative^a.negative;var d=a.length+b.length|0;c.length=d,d=d-1|0;var e=0|a.words[0],f=0|b.words[0],g=e*f,h=67108863&g,i=g/67108864|0;c.words[0]=h;for(var j=1;j>>26,l=67108863&i,m=Math.min(j,b.length-1),n=Math.max(0,j-a.length+1);n<=m;n++){var o=j-n|0;e=0|a.words[o],f=0|b.words[n],g=e*f+l,k+=g/67108864|0,l=67108863&g}c.words[j]=0|l,i=0|k}return 0!==i?c.words[j]=0|i:c.length--,c.strip()}function k(a,b,c){c.negative=b.negative^a.negative,c.length=a.length+b.length;for(var d=0,e=0,f=0;f>>26)|0,e+=g>>>26,g&=67108863}c.words[f]=h,d=g,g=e}return 0!==d?c.words[f]=d:c.length--,c.strip()}function l(a,b,c){var d=new m;return d.mulp(a,b,c)}function m(a,b){this.x=a,this.y=b}function n(a,b){this.name=a,this.p=new f(b,16),this.n=this.p.bitLength(),this.k=new f(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function o(){n.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function p(){n.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function q(){n.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function r(){n.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function s(a){if("string"==typeof a){var b=f._prime(a);this.m=b.p,this.prime=b}else d(a.gtn(1),"modulus must be greater than 1"),this.m=a,this.prime=null}function t(a){s.call(this,a),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new f(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)}"object"==typeof b?b.exports=f:c.BN=f,f.BN=f,f.wordSize=26;var u;try{u=a("buffer").Buffer}catch(v){}f.isBN=function(a){return a instanceof f||null!==a&&"object"==typeof a&&a.constructor.wordSize===f.wordSize&&Array.isArray(a.words)},f.max=function(a,b){return a.cmp(b)>0?a:b},f.min=function(a,b){return a.cmp(b)<0?a:b},f.prototype._init=function(a,b,c){if("number"==typeof a)return this._initNumber(a,b,c);if("object"==typeof a)return this._initArray(a,b,c);"hex"===b&&(b=16),d(b===(0|b)&&b>=2&&b<=36),a=a.toString().replace(/\s+/g,"");var e=0;"-"===a[0]&&e++,16===b?this._parseHex(a,e):this._parseBase(a,b,e),"-"===a[0]&&(this.negative=1),this.strip(),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initNumber=function(a,b,c){a<0&&(this.negative=1,a=-a),a<67108864?(this.words=[67108863&a],this.length=1):a<4503599627370496?(this.words=[67108863&a,a/67108864&67108863],this.length=2):(d(a<9007199254740992),this.words=[67108863&a,a/67108864&67108863,1],this.length=3),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initArray=function(a,b,c){if(d("number"==typeof a.length),a.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(a.length/3),this.words=new Array(this.length);for(var 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Aa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Aa>>>26)|0,Aa&=67108863,d=Math.imul(M,V),e=Math.imul(M,W),e=e+Math.imul(N,V)|0,f=Math.imul(N,W),d=d+Math.imul(J,Y)|0,e=e+Math.imul(J,Z)|0,e=e+Math.imul(K,Y)|0,f=f+Math.imul(K,Z)|0,d=d+Math.imul(G,_)|0,e=e+Math.imul(G,aa)|0,e=e+Math.imul(H,_)|0,f=f+Math.imul(H,aa)|0,d=d+Math.imul(D,ca)|0,e=e+Math.imul(D,da)|0,e=e+Math.imul(E,ca)|0,f=f+Math.imul(E,da)|0,d=d+Math.imul(A,fa)|0,e=e+Math.imul(A,ga)|0,e=e+Math.imul(B,fa)|0,f=f+Math.imul(B,ga)|0,d=d+Math.imul(x,ia)|0,e=e+Math.imul(x,ja)|0,e=e+Math.imul(y,ia)|0,f=f+Math.imul(y,ja)|0,d=d+Math.imul(u,la)|0,e=e+Math.imul(u,ma)|0,e=e+Math.imul(v,la)|0,f=f+Math.imul(v,ma)|0,d=d+Math.imul(r,oa)|0,e=e+Math.imul(r,pa)|0,e=e+Math.imul(s,oa)|0,f=f+Math.imul(s,pa)|0;var Ba=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ba>>>26)|0,Ba&=67108863,d=Math.imul(M,Y),e=Math.imul(M,Z),e=e+Math.imul(N,Y)|0,f=Math.imul(N,Z),d=d+Math.imul(J,_)|0,e=e+Math.imul(J,aa)|0,e=e+Math.imul(K,_)|0,f=f+Math.imul(K,aa)|0,d=d+Math.imul(G,ca)|0,e=e+Math.imul(G,da)|0,e=e+Math.imul(H,ca)|0,f=f+Math.imul(H,da)|0,d=d+Math.imul(D,fa)|0,e=e+Math.imul(D,ga)|0,e=e+Math.imul(E,fa)|0,f=f+Math.imul(E,ga)|0,d=d+Math.imul(A,ia)|0,e=e+Math.imul(A,ja)|0,e=e+Math.imul(B,ia)|0,f=f+Math.imul(B,ja)|0,d=d+Math.imul(x,la)|0,e=e+Math.imul(x,ma)|0,e=e+Math.imul(y,la)|0,f=f+Math.imul(y,ma)|0,d=d+Math.imul(u,oa)|0,e=e+Math.imul(u,pa)|0,e=e+Math.imul(v,oa)|0,f=f+Math.imul(v,pa)|0;var Ca=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ca>>>26)|0,Ca&=67108863,d=Math.imul(M,_),e=Math.imul(M,aa),e=e+Math.imul(N,_)|0,f=Math.imul(N,aa),d=d+Math.imul(J,ca)|0,e=e+Math.imul(J,da)|0,e=e+Math.imul(K,ca)|0,f=f+Math.imul(K,da)|0,d=d+Math.imul(G,fa)|0,e=e+Math.imul(G,ga)|0,e=e+Math.imul(H,fa)|0,f=f+Math.imul(H,ga)|0,d=d+Math.imul(D,ia)|0,e=e+Math.imul(D,ja)|0,e=e+Math.imul(E,ia)|0,f=f+Math.imul(E,ja)|0,d=d+Math.imul(A,la)|0,e=e+Math.imul(A,ma)|0,e=e+Math.imul(B,la)|0,f=f+Math.imul(B,ma)|0,d=d+Math.imul(x,oa)|0,e=e+Math.imul(x,pa)|0,e=e+Math.imul(y,oa)|0,f=f+Math.imul(y,pa)|0;var Da=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Da>>>26)|0,Da&=67108863,d=Math.imul(M,ca),e=Math.imul(M,da),e=e+Math.imul(N,ca)|0,f=Math.imul(N,da),d=d+Math.imul(J,fa)|0,e=e+Math.imul(J,ga)|0,e=e+Math.imul(K,fa)|0,f=f+Math.imul(K,ga)|0,d=d+Math.imul(G,ia)|0,e=e+Math.imul(G,ja)|0,e=e+Math.imul(H,ia)|0,f=f+Math.imul(H,ja)|0,d=d+Math.imul(D,la)|0,e=e+Math.imul(D,ma)|0,e=e+Math.imul(E,la)|0,f=f+Math.imul(E,ma)|0,d=d+Math.imul(A,oa)|0,e=e+Math.imul(A,pa)|0,e=e+Math.imul(B,oa)|0,f=f+Math.imul(B,pa)|0;var Ea=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ea>>>26)|0,Ea&=67108863,d=Math.imul(M,fa),e=Math.imul(M,ga),e=e+Math.imul(N,fa)|0,f=Math.imul(N,ga),d=d+Math.imul(J,ia)|0,e=e+Math.imul(J,ja)|0,e=e+Math.imul(K,ia)|0,f=f+Math.imul(K,ja)|0,d=d+Math.imul(G,la)|0,e=e+Math.imul(G,ma)|0,e=e+Math.imul(H,la)|0,f=f+Math.imul(H,ma)|0,d=d+Math.imul(D,oa)|0,e=e+Math.imul(D,pa)|0,e=e+Math.imul(E,oa)|0,f=f+Math.imul(E,pa)|0;var Fa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Fa>>>26)|0,Fa&=67108863,d=Math.imul(M,ia),e=Math.imul(M,ja),e=e+Math.imul(N,ia)|0,f=Math.imul(N,ja),d=d+Math.imul(J,la)|0,e=e+Math.imul(J,ma)|0,e=e+Math.imul(K,la)|0,f=f+Math.imul(K,ma)|0,d=d+Math.imul(G,oa)|0,e=e+Math.imul(G,pa)|0,e=e+Math.imul(H,oa)|0,f=f+Math.imul(H,pa)|0;var Ga=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ga>>>26)|0,Ga&=67108863,d=Math.imul(M,la),e=Math.imul(M,ma),e=e+Math.imul(N,la)|0,f=Math.imul(N,ma),d=d+Math.imul(J,oa)|0,e=e+Math.imul(J,pa)|0,e=e+Math.imul(K,oa)|0,f=f+Math.imul(K,pa)|0;var Ha=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ha>>>26)|0,Ha&=67108863,d=Math.imul(M,oa),e=Math.imul(M,pa),e=e+Math.imul(N,oa)|0,f=Math.imul(N,pa);var Ia=(j+d|0)+((8191&e)<<13)|0;return j=(f+(e>>>13)|0)+(Ia>>>26)|0,Ia&=67108863,i[0]=qa,i[1]=ra,i[2]=sa,i[3]=ta,i[4]=ua,i[5]=va,i[6]=wa,i[7]=xa,i[8]=ya,i[9]=za,i[10]=Aa,i[11]=Ba,i[12]=Ca,i[13]=Da,i[14]=Ea,i[15]=Fa,i[16]=Ga,i[17]=Ha,i[18]=Ia,0!==j&&(i[19]=j,c.length++),c};Math.imul||(z=j),f.prototype.mulTo=function(a,b){var c,d=this.length+a.length;return c=10===this.length&&10===a.length?z(this,a,b):d<63?j(this,a,b):d<1024?k(this,a,b):l(this,a,b)},m.prototype.makeRBT=function(a){for(var b=new Array(a),c=f.prototype._countBits(a)-1,d=0;d>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g>>=1)e++;return 1<>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g>=26,b+=e/67108864|0,b+=f>>>26,this.words[c]=67108863&f}return 0!==b&&(this.words[c]=b,this.length++),this},f.prototype.muln=function(a){return this.clone().imuln(a)},f.prototype.sqr=function(){return this.mul(this)},f.prototype.isqr=function(){return this.imul(this.clone())},f.prototype.pow=function(a){var b=i(a);if(0===b.length)return new f(1);for(var c=this,d=0;d=0);var b,c=a%26,e=(a-c)/26,f=67108863>>>26-c<<26-c;if(0!==c){var g=0;for(b=0;b>>26-c}g&&(this.words[b]=g,this.length++)}if(0!==e){for(b=this.length-1;b>=0;b--)this.words[b+e]=this.words[b];for(b=0;b=0);var e;e=b?(b-b%26)/26:0;var f=a%26,g=Math.min((a-f)/26,this.length),h=67108863^67108863>>>f<g)for(this.length-=g,j=0;j=0&&(0!==k||j>=e);j--){var l=0|this.words[j];this.words[j]=k<<26-f|l>>>f,k=l&h}return i&&0!==k&&(i.words[i.length++]=k),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},f.prototype.ishrn=function(a,b,c){return d(0===this.negative),this.iushrn(a,b,c)},f.prototype.shln=function(a){return this.clone().ishln(a)},f.prototype.ushln=function(a){return this.clone().iushln(a)},f.prototype.shrn=function(a){return this.clone().ishrn(a)},f.prototype.ushrn=function(a){return this.clone().iushrn(a)},f.prototype.testn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26,e=1<=0);var b=a%26,c=(a-b)/26;if(d(0===this.negative,"imaskn works only with positive numbers"),this.length<=c)return this;if(0!==b&&c++,this.length=Math.min(c,this.length),0!==b){var e=67108863^67108863>>>b<=67108864;b++)this.words[b]-=67108864,b===this.length-1?this.words[b+1]=1:this.words[b+1]++;return this.length=Math.max(this.length,b+1),this},f.prototype.isubn=function(a){if(d("number"==typeof a),d(a<67108864),a<0)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;if(this.words[0]-=a,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var b=0;b>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e>26,this.words[e]=67108863&g;return this.negative=1,this.strip()},f.prototype._wordDiv=function(a,b){var c=this.length-a.length,d=this.clone(),e=a,g=0|e.words[e.length-1],h=this._countBits(g);c=26-h,0!==c&&(e=e.ushln(c),d.iushln(c),g=0|e.words[e.length-1]);var i,j=d.length-e.length;if("mod"!==b){i=new f(null),i.length=j+1,i.words=new Array(i.length);for(var k=0;k=0;m--){var n=67108864*(0|d.words[e.length+m])+(0|d.words[e.length+m-1]);for(n=Math.min(n/g|0,67108863),d._ishlnsubmul(e,n,m);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,m),d.isZero()||(d.negative^=1); -i&&(i.words[m]=n)}return i&&i.strip(),d.strip(),"div"!==b&&0!==c&&d.iushrn(c),{div:i||null,mod:d}},f.prototype.divmod=function(a,b,c){if(d(!a.isZero()),this.isZero())return{div:new f(0),mod:new f(0)};var e,g,h;return 0!==this.negative&&0===a.negative?(h=this.neg().divmod(a,b),"mod"!==b&&(e=h.div.neg()),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.iadd(a)),{div:e,mod:g}):0===this.negative&&0!==a.negative?(h=this.divmod(a.neg(),b),"mod"!==b&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&a.negative)?(h=this.neg().divmod(a.neg(),b),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.isub(a)),{div:h.div,mod:g}):a.length>this.length||this.cmp(a)<0?{div:new f(0),mod:this}:1===a.length?"div"===b?{div:this.divn(a.words[0]),mod:null}:"mod"===b?{div:null,mod:new f(this.modn(a.words[0]))}:{div:this.divn(a.words[0]),mod:new f(this.modn(a.words[0]))}:this._wordDiv(a,b)},f.prototype.div=function(a){return this.divmod(a,"div",!1).div},f.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod},f.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod},f.prototype.divRound=function(a){var b=this.divmod(a);if(b.mod.isZero())return b.div;var c=0!==b.div.negative?b.mod.isub(a):b.mod,d=a.ushrn(1),e=a.andln(1),f=c.cmp(d);return f<0||1===e&&0===f?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)},f.prototype.modn=function(a){d(a<=67108863);for(var b=(1<<26)%a,c=0,e=this.length-1;e>=0;e--)c=(b*c+(0|this.words[e]))%a;return c},f.prototype.idivn=function(a){d(a<=67108863);for(var b=0,c=this.length-1;c>=0;c--){var e=(0|this.words[c])+67108864*b;this.words[c]=e/a|0,b=e%a}return this.strip()},f.prototype.divn=function(a){return this.clone().idivn(a)},f.prototype.egcd=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=new f(0),i=new f(1),j=0;b.isEven()&&c.isEven();)b.iushrn(1),c.iushrn(1),++j;for(var k=c.clone(),l=b.clone();!b.isZero();){for(var m=0,n=1;0===(b.words[0]&n)&&m<26;++m,n<<=1);if(m>0)for(b.iushrn(m);m-- >0;)(e.isOdd()||g.isOdd())&&(e.iadd(k),g.isub(l)),e.iushrn(1),g.iushrn(1);for(var o=0,p=1;0===(c.words[0]&p)&&o<26;++o,p<<=1);if(o>0)for(c.iushrn(o);o-- >0;)(h.isOdd()||i.isOdd())&&(h.iadd(k),i.isub(l)),h.iushrn(1),i.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(h),g.isub(i)):(c.isub(b),h.isub(e),i.isub(g))}return{a:h,b:i,gcd:c.iushln(j)}},f.prototype._invmp=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=c.clone();b.cmpn(1)>0&&c.cmpn(1)>0;){for(var i=0,j=1;0===(b.words[0]&j)&&i<26;++i,j<<=1);if(i>0)for(b.iushrn(i);i-- >0;)e.isOdd()&&e.iadd(h),e.iushrn(1);for(var k=0,l=1;0===(c.words[0]&l)&&k<26;++k,l<<=1);if(k>0)for(c.iushrn(k);k-- >0;)g.isOdd()&&g.iadd(h),g.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(g)):(c.isub(b),g.isub(e))}var m;return m=0===b.cmpn(1)?e:g,m.cmpn(0)<0&&m.iadd(a),m},f.prototype.gcd=function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone(),c=a.clone();b.negative=0,c.negative=0;for(var d=0;b.isEven()&&c.isEven();d++)b.iushrn(1),c.iushrn(1);for(;;){for(;b.isEven();)b.iushrn(1);for(;c.isEven();)c.iushrn(1);var e=b.cmp(c);if(e<0){var f=b;b=c,c=f}else if(0===e||0===c.cmpn(1))break;b.isub(c)}return c.iushln(d)},f.prototype.invm=function(a){return this.egcd(a).a.umod(a)},f.prototype.isEven=function(){return 0===(1&this.words[0])},f.prototype.isOdd=function(){return 1===(1&this.words[0])},f.prototype.andln=function(a){return this.words[0]&a},f.prototype.bincn=function(a){d("number"==typeof a);var b=a%26,c=(a-b)/26,e=1<>>26,h&=67108863,this.words[g]=h}return 0!==f&&(this.words[g]=f,this.length++),this},f.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},f.prototype.cmpn=function(a){var b=a<0;if(0!==this.negative&&!b)return-1;if(0===this.negative&&b)return 1;this.strip();var c;if(this.length>1)c=1;else{b&&(a=-a),d(a<=67108863,"Number is too big");var e=0|this.words[0];c=e===a?0:ea.length)return 1;if(this.length=0;c--){var d=0|this.words[c],e=0|a.words[c];if(d!==e){de&&(b=1);break}}return b},f.prototype.gtn=function(a){return 1===this.cmpn(a)},f.prototype.gt=function(a){return 1===this.cmp(a)},f.prototype.gten=function(a){return this.cmpn(a)>=0},f.prototype.gte=function(a){return this.cmp(a)>=0},f.prototype.ltn=function(a){return this.cmpn(a)===-1},f.prototype.lt=function(a){return this.cmp(a)===-1},f.prototype.lten=function(a){return this.cmpn(a)<=0},f.prototype.lte=function(a){return this.cmp(a)<=0},f.prototype.eqn=function(a){return 0===this.cmpn(a)},f.prototype.eq=function(a){return 0===this.cmp(a)},f.red=function(a){return new s(a)},f.prototype.toRed=function(a){return d(!this.red,"Already a number in reduction context"),d(0===this.negative,"red works only with positives"),a.convertTo(this)._forceRed(a)},f.prototype.fromRed=function(){return d(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},f.prototype._forceRed=function(a){return this.red=a,this},f.prototype.forceRed=function(a){return d(!this.red,"Already a number in reduction context"),this._forceRed(a)},f.prototype.redAdd=function(a){return d(this.red,"redAdd works only with red numbers"),this.red.add(this,a)},f.prototype.redIAdd=function(a){return d(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,a)},f.prototype.redSub=function(a){return d(this.red,"redSub works only with red numbers"),this.red.sub(this,a)},f.prototype.redISub=function(a){return d(this.red,"redISub works only with red 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B;if("k256"===a)B=new o;else if("p224"===a)B=new p;else if("p192"===a)B=new q;else{if("p25519"!==a)throw new Error("Unknown prime "+a);B=new r}return A[a]=B,B},s.prototype._verify1=function(a){d(0===a.negative,"red works only with positives"),d(a.red,"red works only with red numbers")},s.prototype._verify2=function(a,b){d(0===(a.negative|b.negative),"red works only with positives"),d(a.red&&a.red===b.red,"red works only with red numbers")},s.prototype.imod=function(a){return this.prime?this.prime.ireduce(a)._forceRed(this):a.umod(this.m)._forceRed(this)},s.prototype.neg=function(a){return a.isZero()?a.clone():this.m.sub(a)._forceRed(this)},s.prototype.add=function(a,b){this._verify2(a,b);var c=a.add(b);return c.cmp(this.m)>=0&&c.isub(this.m),c._forceRed(this)},s.prototype.iadd=function(a,b){this._verify2(a,b);var c=a.iadd(b);return c.cmp(this.m)>=0&&c.isub(this.m),c},s.prototype.sub=function(a,b){this._verify2(a,b);var c=a.sub(b);return c.cmpn(0)<0&&c.iadd(this.m),c._forceRed(this)},s.prototype.isub=function(a,b){this._verify2(a,b);var c=a.isub(b);return c.cmpn(0)<0&&c.iadd(this.m),c},s.prototype.shl=function(a,b){return this._verify1(a),this.imod(a.ushln(b))},s.prototype.imul=function(a,b){return this._verify2(a,b),this.imod(a.imul(b))},s.prototype.mul=function(a,b){return this._verify2(a,b),this.imod(a.mul(b))},s.prototype.isqr=function(a){return this.imul(a,a.clone())},s.prototype.sqr=function(a){return this.mul(a,a)},s.prototype.sqrt=function(a){if(a.isZero())return a.clone();var b=this.m.andln(3);if(d(b%2===1),3===b){var c=this.m.add(new f(1)).iushrn(2);return this.pow(a,c)}for(var e=this.m.subn(1),g=0;!e.isZero()&&0===e.andln(1);)g++,e.iushrn(1);d(!e.isZero());var h=new f(1).toRed(this),i=h.redNeg(),j=this.m.subn(1).iushrn(1),k=this.m.bitLength();for(k=new f(2*k*k).toRed(this);0!==this.pow(k,j).cmp(i);)k.redIAdd(i);for(var l=this.pow(k,e),m=this.pow(a,e.addn(1).iushrn(1)),n=this.pow(a,e),o=g;0!==n.cmp(h);){for(var p=n,q=0;0!==p.cmp(h);q++)p=p.redSqr();d(q=0;e--){for(var k=b.words[e],l=j-1;l>=0;l--){var m=k>>l&1;g!==d[0]&&(g=this.sqr(g)),0!==m||0!==h?(h<<=1,h|=m,i++,(i===c||0===e&&0===l)&&(g=this.mul(g,d[h]),i=0,h=0)):i=0}j=26}return g},s.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b},s.prototype.convertFrom=function(a){var b=a.clone();return b.red=null,b},f.mont=function(a){return new t(a)},e(t,s),t.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))},t.prototype.convertFrom=function(a){var b=this.imod(a.mul(this.rinv));return b.red=null,b},t.prototype.imul=function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var c=a.imul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),f=e;return e.cmp(this.m)>=0?f=e.isub(this.m):e.cmpn(0)<0&&(f=e.iadd(this.m)),f._forceRed(this)},t.prototype.mul=function(a,b){if(a.isZero()||b.isZero())return new f(0)._forceRed(this);var c=a.mul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),g=e;return e.cmp(this.m)>=0?g=e.isub(this.m):e.cmpn(0)<0&&(g=e.iadd(this.m)),g._forceRed(this)},t.prototype.invm=function(a){var b=this.imod(a._invmp(this.m).mul(this.r2));return b._forceRed(this)}}("undefined"==typeof b||b,this)},{buffer:18}],17:[function(a,b,c){function d(a){this.rand=a}var e;if(b.exports=function(a){return e||(e=new d(null)),e.generate(a)},b.exports.Rand=d,d.prototype.generate=function(a){return this._rand(a)},d.prototype._rand=function(a){if(this.rand.getBytes)return this.rand.getBytes(a);for(var b=new Uint8Array(a),c=0;c=this._delta8){a=this.pending;var c=a.length%this._delta8;this.pending=a.slice(a.length-c,a.length),0===this.pending.length&&(this.pending=null),a=e.join32(a,0,a.length-c,this.endian);for(var d=0;d>>24&255,d[e++]=a>>>16&255,d[e++]=a>>>8&255,d[e++]=255&a}else for(d[e++]=255&a,d[e++]=a>>>8&255,d[e++]=a>>>16&255,d[e++]=a>>>24&255,d[e++]=0,d[e++]=0,d[e++]=0,d[e++]=0,f=8;fthis.blockSize&&(a=(new this.Hash).update(a).digest()),f(a.length<=this.blockSize);for(var b=a.length;b>>3}function k(a){return m(a,17)^m(a,19)^a>>>10}var l=a("../utils"),m=l.rotr32;c.ft_1=d,c.ch32=e,c.maj32=f,c.p32=g,c.s0_256=h,c.s1_256=i,c.g0_256=j,c.g1_256=k},{"../utils":30}],30:[function(a,b,c){"use strict";function d(a,b){return 55296===(64512&a.charCodeAt(b))&&(!(b<0||b+1>=a.length)&&56320===(64512&a.charCodeAt(b+1)))}function e(a,b){if(Array.isArray(a))return a.slice();if(!a)return[];var c=[];if("string"==typeof 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b="",c=0;c",license:"MIT",bugs:{url:"https://github.com/indutny/elliptic/issues"},homepage:"https://github.com/indutny/elliptic",devDependencies:{brfs:"^1.4.3",coveralls:"^3.0.4",grunt:"^1.0.4","grunt-browserify":"^5.0.0","grunt-cli":"^1.2.0","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":"^9.0.1",istanbul:"^0.4.2",jscs:"^3.0.7",jshint:"^2.6.0",mocha:"^6.1.4"},dependencies:{"bn.js":"^4.4.0",brorand:"^1.0.1","hash.js":"^1.0.0","hmac-drbg":"^1.0.0",inherits:"^2.0.1","minimalistic-assert":"^1.0.0","minimalistic-crypto-utils":"^1.0.0"}}},{}]},{},[1])(1)}); \ No newline at end of file +!function(a){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=a();else if("function"==typeof define&&define.amd)define([],a);else{var b;b="undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this,b.elliptic=a()}}(function(){return 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g=0;g=0;i--){for(var b=0;i>=0&&0===f[i];i--)b++;if(i>=0&&b++,g=g.dblp(b),i<0)break;var k=f[i];j(0!==k),g="affine"===a.type?k>0?g.mixedAdd(e[k-1>>1]):g.mixedAdd(e[-k-1>>1].neg()):k>0?g.add(e[k-1>>1]):g.add(e[-k-1>>1].neg())}return"affine"===a.type?g.toP():g},d.prototype._wnafMulAdd=function(a,b,c,d,e){for(var f=this._wnafT1,g=this._wnafT2,j=this._wnafT3,k=0,l=0;l=1;l-=2){var o=l-1,p=l;if(1===f[o]&&1===f[p]){var q=[b[o],null,null,b[p]];0===b[o].y.cmp(b[p].y)?(q[1]=b[o].add(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg())):0===b[o].y.cmp(b[p].y.redNeg())?(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].add(b[p].neg())):(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg()));var r=[-3,-1,-5,-7,0,7,5,1,3],s=i(c[o],c[p]);k=Math.max(s[0].length,k),j[o]=new Array(k),j[p]=new Array(k);for(var t=0;t=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t0?m=g[t][A-1>>1]:A<0&&(m=g[t][-A-1>>1].neg()),w="affine"===m.type?w.mixedAdd(m):w.add(m))}}for(var l=0;l=Math.ceil((a.bitLength()+1)/b.step)},e.prototype._getDoubles=function(a,b){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var c=[this],d=this,e=0;e":""},e.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.z).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)},e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return this.x=this.x.redMul(a),this.y=this.y.redMul(a),this.t&&(this.t=this.t.redMul(a)),this.z=this.curve.one,this.zOne=!0,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),this.y.fromRed()},e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())},e.prototype.eqXToP=function(a){var b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){h.call(this,"mont",a),this.a=new f(a.a,16).toRed(this.red),this.b=new f(a.b,16).toRed(this.red),this.i4=new f(4).toRed(this.red).redInvm(),this.two=new f(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){h.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new f(b,16),this.z=new f(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("bn.js"),g=a("inherits"),h=a("./base"),i=a("../utils");g(d,h),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},g(e,h.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(i.toArray(a,b),1)},d.prototype.point=function(a,b){return new e(this,a,b)},d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},e.prototype.precompute=function(){},e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)},e.prototype.inspect=function(){return this.isInfinity()?"":""},e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},e.prototype.dbl=function(){var a=this.x.redAdd(this.z),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(a,b,c){"use strict";function d(a){j.call(this,"short",a),this.a=new h(a.a,16).toRed(this.red),this.b=new h(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(a),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){j.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new h(b,16),this.y=new h(c,16),d&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function f(a,b,c,d){j.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new h(0)):(this.x=new h(b,16),this.y=new h(c,16),this.z=new h(d,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}var g=a("../utils"),h=a("bn.js"),i=a("inherits"),j=a("./base"),k=g.assert;i(d,j),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new h(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new h(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],k(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new h(a.a,16),b:new h(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:h.mont(a),c=new h(2).toRed(b).redInvm(),d=c.redNeg(),e=new h(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,i,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new h(1),p=new h(0),q=new h(0),r=new h(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=i.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;i=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f":""},e.prototype.isInfinity=function(){return this.inf},e.prototype.add=function(a){if(this.inf)return a;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new h(a,16),this.isInfinity()?this:this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))},e.prototype.neg=function(a){if(this.inf)return this;var b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},i(f,j.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"":""},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h["short"](a):"edwards"===a.type?this.curve=new h.edwards(a):this.curve=new h.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,j(this.g.validate(),"Invalid curve"),j(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("./curve"),i=a("./utils"),j=i.assert;f.PresetCurve=d,e("p192",{type:"short",prime:"p192",p:"ffffffff ffffffff 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fffffffc",b:"5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b",n:"ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551",hash:g.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),e("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:g.sha384,gRed:!1,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"]}),e("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:g.sha512,gRed:!1,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"]}),e("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["9"]}),e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"] +});var k;try{k=a("./precomputed/secp256k1")}catch(l){k=void 0}e("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:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",k]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(j(h.hasOwnProperty(a),"Unknown curve "+a),a=h[a]),a instanceof h.PresetCurve&&(a={curve:a}),this.curve=a.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=a.curve.g,this.g.precompute(a.curve.n.bitLength()+1),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../utils"),h=a("../curves"),i=a("brorand"),j=g.assert,k=a("./key"),l=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new k(this,a)},d.prototype.keyFromPrivate=function(a,b){return k.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return k.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||i(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var g=new e(b.generate(c));if(!(g.cmp(d)>0))return g.iaddn(1),this.keyFromPrivate(g)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(k)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new l({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new l(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var k=this.g.mulAdd(i,c.getPublic(),j);return!k.isInfinity()&&0===k.getX().umod(this.n).cmp(f)}var k=this.g.jmulAdd(i,c.getPublic(),j);return!k.isInfinity()&&k.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){j((3&c)===c,"The recovery param is more than two bits"),b=new l(b,d);var f=this.n,g=new e(a),h=b.r,i=b.s,k=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),k):this.curve.pointFromX(h,k);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=i.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new l(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../utils"),g=f.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?g(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||g(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(k(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;for(var d=15&c,e=0,f=0,g=b.place;f>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../utils"),k=j.assert;b.exports=d,d.prototype._importDER=function(a,b){a=j.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c),h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var k=f(a,c);if(a.length!==k+c.place)return!1;var l=a.slice(c.place,k+c.place);return 0===h[0]&&128&h[1]&&(h=h.slice(1)),0===l[0]&&128&l[1]&&(l=l.slice(1)),this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),j.encode(f,a)}},{"../utils":15,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../curves"),g=a("../utils"),h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b(e>>1)-1?(e>>1)-i:i,f.isubn(h)):h=0,d[g]=h,f.iushrn(1)}return d}function e(a,b){var c=[[],[]];a=a.clone(),b=b.clone();for(var d=0,e=0;a.cmpn(-d)>0||b.cmpn(-e)>0;){var f=a.andln(3)+d&3,g=b.andln(3)+e&3;3===f&&(f=-1),3===g&&(g=-1);var h;if(0===(1&f))h=0;else{var i=a.andln(7)+d&7;h=3!==i&&5!==i||2!==g?f:-f}c[0].push(h);var j;if(0===(1&g))j=0;else{var i=b.andln(7)+e&7;j=3!==i&&5!==i||2!==f?g:-g}c[1].push(j),2*d===h+1&&(d=1-d),2*e===j+1&&(e=1-e),a.iushrn(1),b.iushrn(1)}return c}function f(a,b,c){var d="_"+b;a.prototype[b]=function(){return void 0!==this[d]?this[d]:this[d]=c.call(this)}}function g(a){return"string"==typeof a?i.toArray(a,"hex"):a}function h(a){return new j(a,"hex","le")}var i=c,j=a("bn.js"),k=a("minimalistic-assert"),l=a("minimalistic-crypto-utils");i.assert=k,i.toArray=l.toArray,i.zero2=l.zero2,i.toHex=l.toHex,i.encode=l.encode,i.getNAF=d,i.getJSF=e,i.cachedProperty=f,i.parseBytes=g,i.intFromLE=h},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(a,b,c){!function(b,c){"use strict";function d(a,b){if(!a)throw new Error(b||"Assertion failed")}function e(a,b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}function f(a,b,c){return f.isBN(a)?a:(this.negative=0,this.words=null,this.length=0,this.red=null,void(null!==a&&("le"!==b&&"be"!==b||(c=b,b=10),this._init(a||0,b||10,c||"be"))))}function g(a,b,c){for(var d=0,e=Math.min(a.length,c),f=b;f=49&&g<=54?g-49+10:g>=17&&g<=22?g-17+10:15&g}return d}function h(a,b,c,d){for(var e=0,f=Math.min(a.length,c),g=b;g=49?h-49+10:h>=17?h-17+10:h}return e}function i(a){for(var b=new Array(a.bitLength()),c=0;c>>e}return b}function j(a,b,c){c.negative=b.negative^a.negative;var d=a.length+b.length|0;c.length=d,d=d-1|0;var e=0|a.words[0],f=0|b.words[0],g=e*f,h=67108863&g,i=g/67108864|0;c.words[0]=h;for(var j=1;j>>26,l=67108863&i,m=Math.min(j,b.length-1),n=Math.max(0,j-a.length+1);n<=m;n++){var o=j-n|0;e=0|a.words[o],f=0|b.words[n],g=e*f+l,k+=g/67108864|0,l=67108863&g}c.words[j]=0|l,i=0|k}return 0!==i?c.words[j]=0|i:c.length--,c.strip()}function k(a,b,c){c.negative=b.negative^a.negative,c.length=a.length+b.length;for(var d=0,e=0,f=0;f>>26)|0,e+=g>>>26,g&=67108863}c.words[f]=h,d=g,g=e}return 0!==d?c.words[f]=d:c.length--,c.strip()}function l(a,b,c){var d=new m;return d.mulp(a,b,c)}function m(a,b){this.x=a,this.y=b}function n(a,b){this.name=a,this.p=new f(b,16),this.n=this.p.bitLength(),this.k=new f(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function o(){n.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function p(){n.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function q(){n.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function r(){n.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function s(a){if("string"==typeof a){var b=f._prime(a);this.m=b.p,this.prime=b}else d(a.gtn(1),"modulus must be greater than 1"),this.m=a,this.prime=null}function t(a){s.call(this,a),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new f(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)}"object"==typeof b?b.exports=f:c.BN=f,f.BN=f,f.wordSize=26;var u;try{u=a("buffer").Buffer}catch(v){}f.isBN=function(a){return a instanceof f||null!==a&&"object"==typeof a&&a.constructor.wordSize===f.wordSize&&Array.isArray(a.words)},f.max=function(a,b){return a.cmp(b)>0?a:b},f.min=function(a,b){return a.cmp(b)<0?a:b},f.prototype._init=function(a,b,c){if("number"==typeof a)return this._initNumber(a,b,c);if("object"==typeof a)return this._initArray(a,b,c);"hex"===b&&(b=16),d(b===(0|b)&&b>=2&&b<=36),a=a.toString().replace(/\s+/g,"");var e=0;"-"===a[0]&&e++,16===b?this._parseHex(a,e):this._parseBase(a,b,e),"-"===a[0]&&(this.negative=1),this.strip(),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initNumber=function(a,b,c){a<0&&(this.negative=1,a=-a),a<67108864?(this.words=[67108863&a],this.length=1):a<4503599627370496?(this.words=[67108863&a,a/67108864&67108863],this.length=2):(d(a<9007199254740992),this.words=[67108863&a,a/67108864&67108863,1],this.length=3),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initArray=function(a,b,c){if(d("number"==typeof a.length),a.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(a.length/3),this.words=new Array(this.length);for(var e=0;e=0;e-=3)g=a[e]|a[e-1]<<8|a[e-2]<<16,this.words[f]|=g<>>26-h&67108863,h+=24,h>=26&&(h-=26,f++);else if("le"===c)for(e=0,f=0;e>>26-h&67108863,h+=24,h>=26&&(h-=26,f++);return this.strip()},f.prototype._parseHex=function(a,b){this.length=Math.ceil((a.length-b)/6),this.words=new Array(this.length);for(var c=0;c=b;c-=6)e=g(a,c,c+6),this.words[d]|=e<>>26-f&4194303,f+=24,f>=26&&(f-=26,d++);c+6!==b&&(e=g(a,b,c+6),this.words[d]|=e<>>26-f&4194303),this.strip()},f.prototype._parseBase=function(a,b,c){this.words=[0],this.length=1;for(var d=0,e=1;e<=67108863;e*=b)d++;d--,e=e/b|0;for(var f=a.length-c,g=f%d,i=Math.min(f,f-g)+c,j=0,k=c;k1&&0===this.words[this.length-1];)this.length--;return this._normSign()},f.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},f.prototype.inspect=function(){return(this.red?""};var 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Ca=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ca>>>26)|0,Ca&=67108863,d=Math.imul(M,_),e=Math.imul(M,aa),e=e+Math.imul(N,_)|0,f=Math.imul(N,aa),d=d+Math.imul(J,ca)|0,e=e+Math.imul(J,da)|0,e=e+Math.imul(K,ca)|0,f=f+Math.imul(K,da)|0,d=d+Math.imul(G,fa)|0,e=e+Math.imul(G,ga)|0,e=e+Math.imul(H,fa)|0,f=f+Math.imul(H,ga)|0,d=d+Math.imul(D,ia)|0,e=e+Math.imul(D,ja)|0,e=e+Math.imul(E,ia)|0,f=f+Math.imul(E,ja)|0,d=d+Math.imul(A,la)|0,e=e+Math.imul(A,ma)|0,e=e+Math.imul(B,la)|0,f=f+Math.imul(B,ma)|0,d=d+Math.imul(x,oa)|0,e=e+Math.imul(x,pa)|0,e=e+Math.imul(y,oa)|0,f=f+Math.imul(y,pa)|0;var Da=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Da>>>26)|0,Da&=67108863,d=Math.imul(M,ca),e=Math.imul(M,da),e=e+Math.imul(N,ca)|0,f=Math.imul(N,da),d=d+Math.imul(J,fa)|0,e=e+Math.imul(J,ga)|0,e=e+Math.imul(K,fa)|0,f=f+Math.imul(K,ga)|0,d=d+Math.imul(G,ia)|0,e=e+Math.imul(G,ja)|0,e=e+Math.imul(H,ia)|0,f=f+Math.imul(H,ja)|0,d=d+Math.imul(D,la)|0,e=e+Math.imul(D,ma)|0,e=e+Math.imul(E,la)|0,f=f+Math.imul(E,ma)|0,d=d+Math.imul(A,oa)|0,e=e+Math.imul(A,pa)|0,e=e+Math.imul(B,oa)|0,f=f+Math.imul(B,pa)|0;var Ea=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ea>>>26)|0,Ea&=67108863,d=Math.imul(M,fa),e=Math.imul(M,ga),e=e+Math.imul(N,fa)|0,f=Math.imul(N,ga),d=d+Math.imul(J,ia)|0,e=e+Math.imul(J,ja)|0,e=e+Math.imul(K,ia)|0,f=f+Math.imul(K,ja)|0,d=d+Math.imul(G,la)|0,e=e+Math.imul(G,ma)|0,e=e+Math.imul(H,la)|0,f=f+Math.imul(H,ma)|0,d=d+Math.imul(D,oa)|0,e=e+Math.imul(D,pa)|0,e=e+Math.imul(E,oa)|0,f=f+Math.imul(E,pa)|0;var Fa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Fa>>>26)|0,Fa&=67108863,d=Math.imul(M,ia),e=Math.imul(M,ja),e=e+Math.imul(N,ia)|0,f=Math.imul(N,ja),d=d+Math.imul(J,la)|0,e=e+Math.imul(J,ma)|0,e=e+Math.imul(K,la)|0,f=f+Math.imul(K,ma)|0,d=d+Math.imul(G,oa)|0,e=e+Math.imul(G,pa)|0,e=e+Math.imul(H,oa)|0,f=f+Math.imul(H,pa)|0;var Ga=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ga>>>26)|0,Ga&=67108863,d=Math.imul(M,la),e=Math.imul(M,ma),e=e+Math.imul(N,la)|0,f=Math.imul(N,ma),d=d+Math.imul(J,oa)|0,e=e+Math.imul(J,pa)|0,e=e+Math.imul(K,oa)|0,f=f+Math.imul(K,pa)|0;var Ha=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ha>>>26)|0,Ha&=67108863,d=Math.imul(M,oa),e=Math.imul(M,pa),e=e+Math.imul(N,oa)|0,f=Math.imul(N,pa);var Ia=(j+d|0)+((8191&e)<<13)|0;return j=(f+(e>>>13)|0)+(Ia>>>26)|0,Ia&=67108863,i[0]=qa,i[1]=ra,i[2]=sa,i[3]=ta,i[4]=ua,i[5]=va,i[6]=wa,i[7]=xa,i[8]=ya,i[9]=za,i[10]=Aa,i[11]=Ba,i[12]=Ca,i[13]=Da,i[14]=Ea,i[15]=Fa,i[16]=Ga,i[17]=Ha,i[18]=Ia,0!==j&&(i[19]=j,c.length++),c};Math.imul||(z=j),f.prototype.mulTo=function(a,b){var c,d=this.length+a.length;return c=10===this.length&&10===a.length?z(this,a,b):d<63?j(this,a,b):d<1024?k(this,a,b):l(this,a,b)},m.prototype.makeRBT=function(a){for(var b=new Array(a),c=f.prototype._countBits(a)-1,d=0;d>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g>>=1)e++;return 1<>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g>=26,b+=e/67108864|0,b+=f>>>26,this.words[c]=67108863&f}return 0!==b&&(this.words[c]=b,this.length++),this},f.prototype.muln=function(a){return this.clone().imuln(a)},f.prototype.sqr=function(){return this.mul(this)},f.prototype.isqr=function(){return this.imul(this.clone())},f.prototype.pow=function(a){var b=i(a);if(0===b.length)return new f(1);for(var c=this,d=0;d=0);var b,c=a%26,e=(a-c)/26,f=67108863>>>26-c<<26-c;if(0!==c){var g=0;for(b=0;b>>26-c}g&&(this.words[b]=g,this.length++)}if(0!==e){for(b=this.length-1;b>=0;b--)this.words[b+e]=this.words[b];for(b=0;b=0);var e;e=b?(b-b%26)/26:0;var f=a%26,g=Math.min((a-f)/26,this.length),h=67108863^67108863>>>f<g)for(this.length-=g,j=0;j=0&&(0!==k||j>=e);j--){var l=0|this.words[j];this.words[j]=k<<26-f|l>>>f,k=l&h}return i&&0!==k&&(i.words[i.length++]=k),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},f.prototype.ishrn=function(a,b,c){return d(0===this.negative),this.iushrn(a,b,c)},f.prototype.shln=function(a){return this.clone().ishln(a)},f.prototype.ushln=function(a){return this.clone().iushln(a)},f.prototype.shrn=function(a){return this.clone().ishrn(a)},f.prototype.ushrn=function(a){return this.clone().iushrn(a)},f.prototype.testn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26,e=1<=0);var b=a%26,c=(a-b)/26;if(d(0===this.negative,"imaskn works only with positive numbers"),this.length<=c)return this;if(0!==b&&c++,this.length=Math.min(c,this.length),0!==b){var e=67108863^67108863>>>b<=67108864;b++)this.words[b]-=67108864,b===this.length-1?this.words[b+1]=1:this.words[b+1]++;return this.length=Math.max(this.length,b+1),this},f.prototype.isubn=function(a){if(d("number"==typeof a),d(a<67108864),a<0)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;if(this.words[0]-=a,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var b=0;b>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e>26,this.words[e]=67108863&g;return this.negative=1,this.strip()},f.prototype._wordDiv=function(a,b){var c=this.length-a.length,d=this.clone(),e=a,g=0|e.words[e.length-1],h=this._countBits(g);c=26-h,0!==c&&(e=e.ushln(c),d.iushln(c),g=0|e.words[e.length-1]);var i,j=d.length-e.length;if("mod"!==b){i=new f(null),i.length=j+1,i.words=new Array(i.length);for(var k=0;k=0;m--){var n=67108864*(0|d.words[e.length+m])+(0|d.words[e.length+m-1]);for(n=Math.min(n/g|0,67108863),d._ishlnsubmul(e,n,m);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,m),d.isZero()||(d.negative^=1);i&&(i.words[m]=n); +}return i&&i.strip(),d.strip(),"div"!==b&&0!==c&&d.iushrn(c),{div:i||null,mod:d}},f.prototype.divmod=function(a,b,c){if(d(!a.isZero()),this.isZero())return{div:new f(0),mod:new f(0)};var e,g,h;return 0!==this.negative&&0===a.negative?(h=this.neg().divmod(a,b),"mod"!==b&&(e=h.div.neg()),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.iadd(a)),{div:e,mod:g}):0===this.negative&&0!==a.negative?(h=this.divmod(a.neg(),b),"mod"!==b&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&a.negative)?(h=this.neg().divmod(a.neg(),b),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.isub(a)),{div:h.div,mod:g}):a.length>this.length||this.cmp(a)<0?{div:new f(0),mod:this}:1===a.length?"div"===b?{div:this.divn(a.words[0]),mod:null}:"mod"===b?{div:null,mod:new f(this.modn(a.words[0]))}:{div:this.divn(a.words[0]),mod:new f(this.modn(a.words[0]))}:this._wordDiv(a,b)},f.prototype.div=function(a){return this.divmod(a,"div",!1).div},f.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod},f.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod},f.prototype.divRound=function(a){var b=this.divmod(a);if(b.mod.isZero())return b.div;var c=0!==b.div.negative?b.mod.isub(a):b.mod,d=a.ushrn(1),e=a.andln(1),f=c.cmp(d);return f<0||1===e&&0===f?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)},f.prototype.modn=function(a){d(a<=67108863);for(var b=(1<<26)%a,c=0,e=this.length-1;e>=0;e--)c=(b*c+(0|this.words[e]))%a;return c},f.prototype.idivn=function(a){d(a<=67108863);for(var b=0,c=this.length-1;c>=0;c--){var e=(0|this.words[c])+67108864*b;this.words[c]=e/a|0,b=e%a}return this.strip()},f.prototype.divn=function(a){return this.clone().idivn(a)},f.prototype.egcd=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=new f(0),i=new f(1),j=0;b.isEven()&&c.isEven();)b.iushrn(1),c.iushrn(1),++j;for(var k=c.clone(),l=b.clone();!b.isZero();){for(var m=0,n=1;0===(b.words[0]&n)&&m<26;++m,n<<=1);if(m>0)for(b.iushrn(m);m-- >0;)(e.isOdd()||g.isOdd())&&(e.iadd(k),g.isub(l)),e.iushrn(1),g.iushrn(1);for(var o=0,p=1;0===(c.words[0]&p)&&o<26;++o,p<<=1);if(o>0)for(c.iushrn(o);o-- >0;)(h.isOdd()||i.isOdd())&&(h.iadd(k),i.isub(l)),h.iushrn(1),i.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(h),g.isub(i)):(c.isub(b),h.isub(e),i.isub(g))}return{a:h,b:i,gcd:c.iushln(j)}},f.prototype._invmp=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=c.clone();b.cmpn(1)>0&&c.cmpn(1)>0;){for(var i=0,j=1;0===(b.words[0]&j)&&i<26;++i,j<<=1);if(i>0)for(b.iushrn(i);i-- >0;)e.isOdd()&&e.iadd(h),e.iushrn(1);for(var k=0,l=1;0===(c.words[0]&l)&&k<26;++k,l<<=1);if(k>0)for(c.iushrn(k);k-- >0;)g.isOdd()&&g.iadd(h),g.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(g)):(c.isub(b),g.isub(e))}var m;return m=0===b.cmpn(1)?e:g,m.cmpn(0)<0&&m.iadd(a),m},f.prototype.gcd=function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone(),c=a.clone();b.negative=0,c.negative=0;for(var d=0;b.isEven()&&c.isEven();d++)b.iushrn(1),c.iushrn(1);for(;;){for(;b.isEven();)b.iushrn(1);for(;c.isEven();)c.iushrn(1);var e=b.cmp(c);if(e<0){var f=b;b=c,c=f}else if(0===e||0===c.cmpn(1))break;b.isub(c)}return c.iushln(d)},f.prototype.invm=function(a){return this.egcd(a).a.umod(a)},f.prototype.isEven=function(){return 0===(1&this.words[0])},f.prototype.isOdd=function(){return 1===(1&this.words[0])},f.prototype.andln=function(a){return this.words[0]&a},f.prototype.bincn=function(a){d("number"==typeof a);var b=a%26,c=(a-b)/26,e=1<>>26,h&=67108863,this.words[g]=h}return 0!==f&&(this.words[g]=f,this.length++),this},f.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},f.prototype.cmpn=function(a){var b=a<0;if(0!==this.negative&&!b)return-1;if(0===this.negative&&b)return 1;this.strip();var c;if(this.length>1)c=1;else{b&&(a=-a),d(a<=67108863,"Number is too big");var e=0|this.words[0];c=e===a?0:ea.length)return 1;if(this.length=0;c--){var d=0|this.words[c],e=0|a.words[c];if(d!==e){de&&(b=1);break}}return b},f.prototype.gtn=function(a){return 1===this.cmpn(a)},f.prototype.gt=function(a){return 1===this.cmp(a)},f.prototype.gten=function(a){return this.cmpn(a)>=0},f.prototype.gte=function(a){return this.cmp(a)>=0},f.prototype.ltn=function(a){return this.cmpn(a)===-1},f.prototype.lt=function(a){return this.cmp(a)===-1},f.prototype.lten=function(a){return this.cmpn(a)<=0},f.prototype.lte=function(a){return this.cmp(a)<=0},f.prototype.eqn=function(a){return 0===this.cmpn(a)},f.prototype.eq=function(a){return 0===this.cmp(a)},f.red=function(a){return new s(a)},f.prototype.toRed=function(a){return d(!this.red,"Already a number in reduction context"),d(0===this.negative,"red works only with positives"),a.convertTo(this)._forceRed(a)},f.prototype.fromRed=function(){return d(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},f.prototype._forceRed=function(a){return this.red=a,this},f.prototype.forceRed=function(a){return d(!this.red,"Already a number in reduction context"),this._forceRed(a)},f.prototype.redAdd=function(a){return d(this.red,"redAdd works only with red numbers"),this.red.add(this,a)},f.prototype.redIAdd=function(a){return d(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,a)},f.prototype.redSub=function(a){return d(this.red,"redSub works only with red numbers"),this.red.sub(this,a)},f.prototype.redISub=function(a){return d(this.red,"redISub works only with red numbers"),this.red.isub(this,a)},f.prototype.redShl=function(a){return d(this.red,"redShl works only with red numbers"),this.red.shl(this,a)},f.prototype.redMul=function(a){return d(this.red,"redMul works only with red numbers"),this.red._verify2(this,a),this.red.mul(this,a)},f.prototype.redIMul=function(a){return d(this.red,"redMul works only with red numbers"),this.red._verify2(this,a),this.red.imul(this,a)},f.prototype.redSqr=function(){return d(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},f.prototype.redISqr=function(){return d(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},f.prototype.redSqrt=function(){return d(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},f.prototype.redInvm=function(){return d(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},f.prototype.redNeg=function(){return d(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},f.prototype.redPow=function(a){return d(this.red&&!a.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,a)};var A={k256:null,p224:null,p192:null,p25519:null};n.prototype._tmp=function(){var a=new f(null);return a.words=new Array(Math.ceil(this.n/13)),a},n.prototype.ireduce=function(a){var b,c=a;do this.split(c,this.tmp),c=this.imulK(c),c=c.iadd(this.tmp),b=c.bitLength();while(b>this.n);var d=b0?c.isub(this.p):c.strip(),c},n.prototype.split=function(a,b){a.iushrn(this.n,0,b)},n.prototype.imulK=function(a){return a.imul(this.k)},e(o,n),o.prototype.split=function(a,b){for(var c=4194303,d=Math.min(a.length,9),e=0;e>>22,f=g}f>>>=22,a.words[e-10]=f,0===f&&a.length>10?a.length-=10:a.length-=9},o.prototype.imulK=function(a){a.words[a.length]=0,a.words[a.length+1]=0,a.length+=2;for(var b=0,c=0;c>>=26,a.words[c]=e,b=d}return 0!==b&&(a.words[a.length++]=b),a},f._prime=function B(a){if(A[a])return A[a];var B;if("k256"===a)B=new o;else if("p224"===a)B=new p;else if("p192"===a)B=new q;else{if("p25519"!==a)throw new Error("Unknown prime "+a);B=new r}return A[a]=B,B},s.prototype._verify1=function(a){d(0===a.negative,"red works only with positives"),d(a.red,"red works only with red numbers")},s.prototype._verify2=function(a,b){d(0===(a.negative|b.negative),"red works only with positives"),d(a.red&&a.red===b.red,"red works only with red numbers")},s.prototype.imod=function(a){return this.prime?this.prime.ireduce(a)._forceRed(this):a.umod(this.m)._forceRed(this)},s.prototype.neg=function(a){return a.isZero()?a.clone():this.m.sub(a)._forceRed(this)},s.prototype.add=function(a,b){this._verify2(a,b);var c=a.add(b);return c.cmp(this.m)>=0&&c.isub(this.m),c._forceRed(this)},s.prototype.iadd=function(a,b){this._verify2(a,b);var c=a.iadd(b);return c.cmp(this.m)>=0&&c.isub(this.m),c},s.prototype.sub=function(a,b){this._verify2(a,b);var c=a.sub(b);return c.cmpn(0)<0&&c.iadd(this.m),c._forceRed(this)},s.prototype.isub=function(a,b){this._verify2(a,b);var c=a.isub(b);return c.cmpn(0)<0&&c.iadd(this.m),c},s.prototype.shl=function(a,b){return this._verify1(a),this.imod(a.ushln(b))},s.prototype.imul=function(a,b){return this._verify2(a,b),this.imod(a.imul(b))},s.prototype.mul=function(a,b){return this._verify2(a,b),this.imod(a.mul(b))},s.prototype.isqr=function(a){return this.imul(a,a.clone())},s.prototype.sqr=function(a){return this.mul(a,a)},s.prototype.sqrt=function(a){if(a.isZero())return a.clone();var b=this.m.andln(3);if(d(b%2===1),3===b){var c=this.m.add(new f(1)).iushrn(2);return this.pow(a,c)}for(var e=this.m.subn(1),g=0;!e.isZero()&&0===e.andln(1);)g++,e.iushrn(1);d(!e.isZero());var h=new f(1).toRed(this),i=h.redNeg(),j=this.m.subn(1).iushrn(1),k=this.m.bitLength();for(k=new f(2*k*k).toRed(this);0!==this.pow(k,j).cmp(i);)k.redIAdd(i);for(var l=this.pow(k,e),m=this.pow(a,e.addn(1).iushrn(1)),n=this.pow(a,e),o=g;0!==n.cmp(h);){for(var p=n,q=0;0!==p.cmp(h);q++)p=p.redSqr();d(q=0;e--){for(var k=b.words[e],l=j-1;l>=0;l--){var m=k>>l&1;g!==d[0]&&(g=this.sqr(g)),0!==m||0!==h?(h<<=1,h|=m,i++,(i===c||0===e&&0===l)&&(g=this.mul(g,d[h]),i=0,h=0)):i=0}j=26}return g},s.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b},s.prototype.convertFrom=function(a){var b=a.clone();return b.red=null,b},f.mont=function(a){return new t(a)},e(t,s),t.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))},t.prototype.convertFrom=function(a){var b=this.imod(a.mul(this.rinv));return b.red=null,b},t.prototype.imul=function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var c=a.imul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),f=e;return e.cmp(this.m)>=0?f=e.isub(this.m):e.cmpn(0)<0&&(f=e.iadd(this.m)),f._forceRed(this)},t.prototype.mul=function(a,b){if(a.isZero()||b.isZero())return new f(0)._forceRed(this);var c=a.mul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),g=e;return e.cmp(this.m)>=0?g=e.isub(this.m):e.cmpn(0)<0&&(g=e.iadd(this.m)),g._forceRed(this)},t.prototype.invm=function(a){var b=this.imod(a._invmp(this.m).mul(this.r2));return b._forceRed(this)}}("undefined"==typeof b||b,this)},{buffer:18}],17:[function(a,b,c){function d(a){this.rand=a}var e;if(b.exports=function(a){return e||(e=new d(null)),e.generate(a)},b.exports.Rand=d,d.prototype.generate=function(a){return this._rand(a)},d.prototype._rand=function(a){if(this.rand.getBytes)return this.rand.getBytes(a);for(var b=new Uint8Array(a),c=0;c=this._delta8){a=this.pending;var c=a.length%this._delta8;this.pending=a.slice(a.length-c,a.length),0===this.pending.length&&(this.pending=null),a=e.join32(a,0,a.length-c,this.endian);for(var d=0;d>>24&255,d[e++]=a>>>16&255,d[e++]=a>>>8&255,d[e++]=255&a}else for(d[e++]=255&a,d[e++]=a>>>8&255,d[e++]=a>>>16&255,d[e++]=a>>>24&255,d[e++]=0,d[e++]=0,d[e++]=0,d[e++]=0,f=8;fthis.blockSize&&(a=(new this.Hash).update(a).digest()),f(a.length<=this.blockSize);for(var b=a.length;b>>3}function k(a){return m(a,17)^m(a,19)^a>>>10}var l=a("../utils"),m=l.rotr32;c.ft_1=d,c.ch32=e,c.maj32=f,c.p32=g,c.s0_256=h,c.s1_256=i,c.g0_256=j,c.g1_256=k},{"../utils":30}],30:[function(a,b,c){"use strict";function d(a,b){return 55296===(64512&a.charCodeAt(b))&&(!(b<0||b+1>=a.length)&&56320===(64512&a.charCodeAt(b+1)))}function e(a,b){if(Array.isArray(a))return a.slice();if(!a)return[];var c=[];if("string"==typeof a)if(b){if("hex"===b)for(a=a.replace(/[^a-z0-9]+/gi,""),a.length%2!==0&&(a="0"+a),f=0;f>6|192,c[e++]=63&g|128):d(a,f)?(g=65536+((1023&g)<<10)+(1023&a.charCodeAt(++f)),c[e++]=g>>18|240,c[e++]=g>>12&63|128,c[e++]=g>>6&63|128,c[e++]=63&g|128):(c[e++]=g>>12|224,c[e++]=g>>6&63|128,c[e++]=63&g|128)}else for(f=0;f>>24|a>>>8&65280|a<<8&16711680|(255&a)<<24;return b>>>0}function h(a,b){for(var c="",d=0;d>>0}return f}function l(a,b){for(var c=new Array(4*a.length),d=0,e=0;d>>24,c[e+1]=f>>>16&255,c[e+2]=f>>>8&255,c[e+3]=255&f):(c[e+3]=f>>>24,c[e+2]=f>>>16&255,c[e+1]=f>>>8&255,c[e]=255&f)}return c}function m(a,b){return a>>>b|a<<32-b}function n(a,b){return a<>>32-b}function o(a,b){return a+b>>>0}function p(a,b,c){return a+b+c>>>0}function q(a,b,c,d){return a+b+c+d>>>0}function r(a,b,c,d,e){return a+b+c+d+e>>>0}function s(a,b,c,d){var e=a[b],f=a[b+1],g=d+f>>>0,h=(g>>0,a[b+1]=g}function t(a,b,c,d){var e=b+d>>>0,f=(e>>0}function u(a,b,c,d){var e=b+d;return e>>>0}function v(a,b,c,d,e,f,g,h){var i=0,j=b;j=j+d>>>0,i+=j>>0,i+=j>>0,i+=j>>0}function w(a,b,c,d,e,f,g,h){var i=b+d+f+h;return i>>>0}function x(a,b,c,d,e,f,g,h,i,j){var k=0,l=b;l=l+d>>>0,k+=l>>0,k+=l>>0,k+=l>>0,k+=l>>0}function y(a,b,c,d,e,f,g,h,i,j){var k=b+d+f+h+j;return k>>>0}function z(a,b,c){var d=b<<32-c|a>>>c;return d>>>0}function A(a,b,c){var d=a<<32-c|b>>>c;return d>>>0}function B(a,b,c){return a>>>c}function C(a,b,c){var d=a<<32-c|b>>>c;return d>>>0}var D=a("minimalistic-assert"),E=a("inherits");c.inherits=E,c.toArray=e,c.toHex=f,c.htonl=g,c.toHex32=h,c.zero2=i,c.zero8=j,c.join32=k,c.split32=l,c.rotr32=m,c.rotl32=n,c.sum32=o,c.sum32_3=p,c.sum32_4=q,c.sum32_5=r,c.sum64=s,c.sum64_hi=t,c.sum64_lo=u,c.sum64_4_hi=v,c.sum64_4_lo=w,c.sum64_5_hi=x,c.sum64_5_lo=y,c.rotr64_hi=z,c.rotr64_lo=A,c.shr64_hi=B,c.shr64_lo=C},{inherits:32,"minimalistic-assert":33}],31:[function(a,b,c){"use strict";function d(a){if(!(this instanceof d))return new d(a);this.hash=a.hash,this.predResist=!!a.predResist,this.outLen=this.hash.outSize,this.minEntropy=a.minEntropy||this.hash.hmacStrength,this._reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var b=f.toArray(a.entropy,a.entropyEnc||"hex"),c=f.toArray(a.nonce,a.nonceEnc||"hex"),e=f.toArray(a.pers,a.persEnc||"hex");g(b.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._init(b,c,e)}var e=a("hash.js"),f=a("minimalistic-crypto-utils"),g=a("minimalistic-assert");b.exports=d,d.prototype._init=function(a,b,c){var d=a.concat(b).concat(c);this.K=new Array(this.outLen/8),this.V=new Array(this.outLen/8);for(var e=0;e=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._update(a.concat(c||[])),this._reseed=1},d.prototype.generate=function(a,b,c,d){if(this._reseed>this.reseedInterval)throw new Error("Reseed is required");"string"!=typeof b&&(d=c,c=b,b=null),c&&(c=f.toArray(c,d||"hex"),this._update(c));for(var e=[];e.length>8,g=255&e;f?c.push(f,g):c.push(g)}return c}function e(a){return 1===a.length?"0"+a:a}function f(a){for(var b="",c=0;c",license:"MIT",bugs:{url:"https://github.com/indutny/elliptic/issues"},homepage:"https://github.com/indutny/elliptic",devDependencies:{brfs:"^1.4.3",coveralls:"^3.0.8",grunt:"^1.0.4","grunt-browserify":"^5.0.0","grunt-cli":"^1.2.0","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":"^9.0.1",istanbul:"^0.4.2",jscs:"^3.0.7",jshint:"^2.10.3",mocha:"^6.2.2"},dependencies:{"bn.js":"^4.4.0",brorand:"^1.0.1","hash.js":"^1.0.0","hmac-drbg":"^1.0.0",inherits:"^2.0.1","minimalistic-assert":"^1.0.0","minimalistic-crypto-utils":"^1.0.0"}}},{}]},{},[1])(1)}); \ No newline at end of file diff --git a/package-lock.json b/package-lock.json index e107c6b1..dcb6d255 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,6 +1,6 @@ { "name": "elliptic", - "version": "6.5.1", + "version": "6.5.2", "lockfileVersion": 1, "requires": true, "dependencies": { diff --git a/package.json b/package.json index d6dd52e9..37f12254 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "elliptic", - "version": "6.5.1", + "version": "6.5.2", "description": "EC cryptography", "main": "lib/elliptic.js", "files": [ From 856fe4d99fe7b6200556e6400b3bf585b1721bec Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Thu, 18 Jun 2020 08:29:21 -0700 Subject: [PATCH 09/15] signature: prevent malleability and overflows --- lib/elliptic/ec/signature.js | 40 ++++++++++++++++++++++++++++++++---- 1 file changed, 36 insertions(+), 4 deletions(-) diff --git a/lib/elliptic/ec/signature.js b/lib/elliptic/ec/signature.js index 2cb6b490..539df6a2 100644 --- a/lib/elliptic/ec/signature.js +++ b/lib/elliptic/ec/signature.js @@ -32,11 +32,24 @@ function getLength(buf, p) { return initial; } var octetLen = initial & 0xf; + + // Indefinite length or overflow + if (octetLen === 0 || octetLen > 4) { + return false; + } + var val = 0; for (var i = 0, off = p.place; i < octetLen; i++, off++) { val <<= 8; val |= buf[off]; + val >>>= 0; } + + // Leading zeroes + if (val <= 0x7f) { + return false; + } + p.place = off; return val; } @@ -60,6 +73,9 @@ Signature.prototype._importDER = function _importDER(data, enc) { return false; } var len = getLength(data, p); + if (len === false) { + return false; + } if ((len + p.place) !== data.length) { return false; } @@ -67,21 +83,37 @@ Signature.prototype._importDER = function _importDER(data, enc) { return false; } var rlen = getLength(data, p); + if (rlen === false) { + return false; + } 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 (slen === false) { + return false; + } 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 (r[0] === 0) { + if (r[1] & 0x80) { + r = r.slice(1); + } else { + // Leading zeroes + return false; + } } - if (s[0] === 0 && (s[1] & 0x80)) { - s = s.slice(1); + if (s[0] === 0) { + if (s[1] & 0x80) { + s = s.slice(1); + } else { + // Leading zeroes + return false; + } } this.r = new BN(r); From 8647803dc3d90506aa03021737f7b061ba959ae1 Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Thu, 18 Jun 2020 08:29:42 -0700 Subject: [PATCH 10/15] 6.5.3 --- dist/elliptic.js | 42 +++++++++++++++++++++++++++++++++++++----- dist/elliptic.min.js | 4 ++-- package-lock.json | 2 +- package.json | 2 +- 4 files changed, 41 insertions(+), 9 deletions(-) diff --git a/dist/elliptic.js b/dist/elliptic.js index f01bdd83..44987789 100644 --- a/dist/elliptic.js +++ b/dist/elliptic.js @@ -2560,11 +2560,24 @@ function getLength(buf, p) { return initial; } var octetLen = initial & 0xf; + + // Indefinite length or overflow + if (octetLen === 0 || octetLen > 4) { + return false; + } + var val = 0; for (var i = 0, off = p.place; i < octetLen; i++, off++) { val <<= 8; val |= buf[off]; + val >>>= 0; } + + // Leading zeroes + if (val <= 0x7f) { + return false; + } + p.place = off; return val; } @@ -2588,6 +2601,9 @@ Signature.prototype._importDER = function _importDER(data, enc) { return false; } var len = getLength(data, p); + if (len === false) { + return false; + } if ((len + p.place) !== data.length) { return false; } @@ -2595,21 +2611,37 @@ Signature.prototype._importDER = function _importDER(data, enc) { return false; } var rlen = getLength(data, p); + if (rlen === false) { + return false; + } 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 (slen === false) { + return false; + } 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 (r[0] === 0) { + if (r[1] & 0x80) { + r = r.slice(1); + } else { + // Leading zeroes + return false; + } } - if (s[0] === 0 && (s[1] & 0x80)) { - s = s.slice(1); + if (s[0] === 0) { + if (s[1] & 0x80) { + s = s.slice(1); + } else { + // Leading zeroes + return false; + } } this.r = new BN(r); @@ -8798,7 +8830,7 @@ utils.encode = function encode(arr, enc) { },{}],35:[function(require,module,exports){ module.exports={ "name": "elliptic", - "version": "6.5.2", + "version": "6.5.3", "description": "EC cryptography", "main": "lib/elliptic.js", "files": [ diff --git a/dist/elliptic.min.js b/dist/elliptic.min.js index 743f2aa7..9d18cea6 100644 --- a/dist/elliptic.min.js +++ b/dist/elliptic.min.js @@ -1,5 +1,5 @@ !function(a){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=a();else if("function"==typeof define&&define.amd)define([],a);else{var b;b="undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this,b.elliptic=a()}}(function(){return function(){function a(b,c,d){function e(g,h){if(!c[g]){if(!b[g]){var i="function"==typeof require&&require;if(!h&&i)return i(g,!0);if(f)return f(g,!0);var j=new Error("Cannot find module '"+g+"'");throw j.code="MODULE_NOT_FOUND",j}var k=c[g]={exports:{}};b[g][0].call(k.exports,function(a){var c=b[g][1][a];return e(c||a)},k,k.exports,a,b,c,d)}return c[g].exports}for(var f="function"==typeof require&&require,g=0;g0?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function e(a,b){this.curve=a,this.type=b,this.precomputed=null}var f=a("bn.js"),g=a("../utils"),h=g.getNAF,i=g.getJSF,j=g.assert;b.exports=d,d.prototype.point=function(){throw new Error("Not implemented")},d.prototype.validate=function(){throw new Error("Not implemented")},d.prototype._fixedNafMul=function(a,b){j(a.precomputed);var c=a._getDoubles(),d=h(b,1,this._bitLength),e=(1<=g;b--)i=(i<<1)+d[b];f.push(i)}for(var k=this.jpoint(null,null,null),l=this.jpoint(null,null,null),m=e;m>0;m--){for(var g=0;g=0;i--){for(var b=0;i>=0&&0===f[i];i--)b++;if(i>=0&&b++,g=g.dblp(b),i<0)break;var k=f[i];j(0!==k),g="affine"===a.type?k>0?g.mixedAdd(e[k-1>>1]):g.mixedAdd(e[-k-1>>1].neg()):k>0?g.add(e[k-1>>1]):g.add(e[-k-1>>1].neg())}return"affine"===a.type?g.toP():g},d.prototype._wnafMulAdd=function(a,b,c,d,e){for(var f=this._wnafT1,g=this._wnafT2,j=this._wnafT3,k=0,l=0;l=1;l-=2){var o=l-1,p=l;if(1===f[o]&&1===f[p]){var q=[b[o],null,null,b[p]];0===b[o].y.cmp(b[p].y)?(q[1]=b[o].add(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg())):0===b[o].y.cmp(b[p].y.redNeg())?(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].add(b[p].neg())):(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg()));var r=[-3,-1,-5,-7,0,7,5,1,3],s=i(c[o],c[p]);k=Math.max(s[0].length,k),j[o]=new Array(k),j[p]=new Array(k);for(var t=0;t=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t0?m=g[t][A-1>>1]:A<0&&(m=g[t][-A-1>>1].neg()),w="affine"===m.type?w.mixedAdd(m):w.add(m))}}for(var l=0;l=Math.ceil((a.bitLength()+1)/b.step)},e.prototype._getDoubles=function(a,b){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var c=[this],d=this,e=0;e":""},e.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.z).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)},e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return this.x=this.x.redMul(a),this.y=this.y.redMul(a),this.t&&(this.t=this.t.redMul(a)),this.z=this.curve.one,this.zOne=!0,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),this.y.fromRed()},e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())},e.prototype.eqXToP=function(a){var b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){h.call(this,"mont",a),this.a=new f(a.a,16).toRed(this.red),this.b=new f(a.b,16).toRed(this.red),this.i4=new f(4).toRed(this.red).redInvm(),this.two=new f(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){h.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new f(b,16),this.z=new f(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("bn.js"),g=a("inherits"),h=a("./base"),i=a("../utils");g(d,h),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},g(e,h.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(i.toArray(a,b),1)},d.prototype.point=function(a,b){return new e(this,a,b)},d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},e.prototype.precompute=function(){},e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)},e.prototype.inspect=function(){return this.isInfinity()?"":""},e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},e.prototype.dbl=function(){var a=this.x.redAdd(this.z),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(a,b,c){"use strict";function d(a){j.call(this,"short",a),this.a=new h(a.a,16).toRed(this.red),this.b=new h(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(a),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){j.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new h(b,16),this.y=new h(c,16),d&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function f(a,b,c,d){j.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new h(0)):(this.x=new h(b,16),this.y=new h(c,16),this.z=new h(d,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}var g=a("../utils"),h=a("bn.js"),i=a("inherits"),j=a("./base"),k=g.assert;i(d,j),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new h(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new h(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],k(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new h(a.a,16),b:new h(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:h.mont(a),c=new h(2).toRed(b).redInvm(),d=c.redNeg(),e=new h(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,i,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new h(1),p=new h(0),q=new h(0),r=new h(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=i.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;i=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f":""},e.prototype.isInfinity=function(){return this.inf},e.prototype.add=function(a){if(this.inf)return a;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new h(a,16),this.isInfinity()?this:this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))},e.prototype.neg=function(a){if(this.inf)return this;var b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},i(f,j.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"":""},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h["short"](a):"edwards"===a.type?this.curve=new h.edwards(a):this.curve=new h.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,j(this.g.validate(),"Invalid curve"),j(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("./curve"),i=a("./utils"),j=i.assert;f.PresetCurve=d,e("p192",{type:"short",prime:"p192",p:"ffffffff ffffffff 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fffffffc",b:"5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b",n:"ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551",hash:g.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),e("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:g.sha384,gRed:!1,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"]}),e("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:g.sha512,gRed:!1,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"]}),e("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["9"]}),e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"] -});var k;try{k=a("./precomputed/secp256k1")}catch(l){k=void 0}e("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:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",k]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(j(h.hasOwnProperty(a),"Unknown curve "+a),a=h[a]),a instanceof h.PresetCurve&&(a={curve:a}),this.curve=a.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=a.curve.g,this.g.precompute(a.curve.n.bitLength()+1),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../utils"),h=a("../curves"),i=a("brorand"),j=g.assert,k=a("./key"),l=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new k(this,a)},d.prototype.keyFromPrivate=function(a,b){return k.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return k.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||i(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var g=new e(b.generate(c));if(!(g.cmp(d)>0))return g.iaddn(1),this.keyFromPrivate(g)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(k)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new l({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new l(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var k=this.g.mulAdd(i,c.getPublic(),j);return!k.isInfinity()&&0===k.getX().umod(this.n).cmp(f)}var k=this.g.jmulAdd(i,c.getPublic(),j);return!k.isInfinity()&&k.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){j((3&c)===c,"The recovery param is more than two bits"),b=new l(b,d);var f=this.n,g=new e(a),h=b.r,i=b.s,k=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),k):this.curve.pointFromX(h,k);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=i.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new l(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../utils"),g=f.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?g(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||g(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(k(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;for(var d=15&c,e=0,f=0,g=b.place;f>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../utils"),k=j.assert;b.exports=d,d.prototype._importDER=function(a,b){a=j.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c),h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var k=f(a,c);if(a.length!==k+c.place)return!1;var l=a.slice(c.place,k+c.place);return 0===h[0]&&128&h[1]&&(h=h.slice(1)),0===l[0]&&128&l[1]&&(l=l.slice(1)),this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),j.encode(f,a)}},{"../utils":15,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../curves"),g=a("../utils"),h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b0))return g.iaddn(1),this.keyFromPrivate(g)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(k)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new l({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new l(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var k=this.g.mulAdd(i,c.getPublic(),j);return!k.isInfinity()&&0===k.getX().umod(this.n).cmp(f)}var k=this.g.jmulAdd(i,c.getPublic(),j);return!k.isInfinity()&&k.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){j((3&c)===c,"The recovery param is more than two bits"),b=new l(b,d);var f=this.n,g=new e(a),h=b.r,i=b.s,k=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),k):this.curve.pointFromX(h,k);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=i.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new l(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../utils"),g=f.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?g(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||g(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(k(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;var d=15&c;if(0===d||d>4)return!1;for(var e=0,f=0,g=b.place;f>>=0;return!(e<=127)&&(b.place=g,e)}function g(a){for(var b=0,c=a.length-1;!a[b]&&!(128&a[b+1])&&b>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../utils"),k=j.assert;b.exports=d,d.prototype._importDER=function(a,b){a=j.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d===!1)return!1;if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c);if(g===!1)return!1;var h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var k=f(a,c);if(k===!1)return!1;if(a.length!==k+c.place)return!1;var l=a.slice(c.place,k+c.place);if(0===h[0]){if(!(128&h[1]))return!1;h=h.slice(1)}if(0===l[0]){if(!(128&l[1]))return!1;l=l.slice(1)}return this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),j.encode(f,a)}},{"../utils":15,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../curves"),g=a("../utils"),h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b(e>>1)-1?(e>>1)-i:i,f.isubn(h)):h=0,d[g]=h,f.iushrn(1)}return d}function e(a,b){var c=[[],[]];a=a.clone(),b=b.clone();for(var d=0,e=0;a.cmpn(-d)>0||b.cmpn(-e)>0;){var f=a.andln(3)+d&3,g=b.andln(3)+e&3;3===f&&(f=-1),3===g&&(g=-1);var h;if(0===(1&f))h=0;else{var i=a.andln(7)+d&7;h=3!==i&&5!==i||2!==g?f:-f}c[0].push(h);var j;if(0===(1&g))j=0;else{var i=b.andln(7)+e&7;j=3!==i&&5!==i||2!==f?g:-g}c[1].push(j),2*d===h+1&&(d=1-d),2*e===j+1&&(e=1-e),a.iushrn(1),b.iushrn(1)}return c}function f(a,b,c){var d="_"+b;a.prototype[b]=function(){return void 0!==this[d]?this[d]:this[d]=c.call(this)}}function g(a){return"string"==typeof a?i.toArray(a,"hex"):a}function h(a){return new j(a,"hex","le")}var i=c,j=a("bn.js"),k=a("minimalistic-assert"),l=a("minimalistic-crypto-utils");i.assert=k,i.toArray=l.toArray,i.zero2=l.zero2,i.toHex=l.toHex,i.encode=l.encode,i.getNAF=d,i.getJSF=e,i.cachedProperty=f,i.parseBytes=g,i.intFromLE=h},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(a,b,c){!function(b,c){"use strict";function d(a,b){if(!a)throw new Error(b||"Assertion failed")}function e(a,b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}function f(a,b,c){return f.isBN(a)?a:(this.negative=0,this.words=null,this.length=0,this.red=null,void(null!==a&&("le"!==b&&"be"!==b||(c=b,b=10),this._init(a||0,b||10,c||"be"))))}function g(a,b,c){for(var d=0,e=Math.min(a.length,c),f=b;f=49&&g<=54?g-49+10:g>=17&&g<=22?g-17+10:15&g}return d}function h(a,b,c,d){for(var e=0,f=Math.min(a.length,c),g=b;g=49?h-49+10:h>=17?h-17+10:h}return e}function i(a){for(var b=new Array(a.bitLength()),c=0;c>>e}return b}function j(a,b,c){c.negative=b.negative^a.negative;var d=a.length+b.length|0;c.length=d,d=d-1|0;var e=0|a.words[0],f=0|b.words[0],g=e*f,h=67108863&g,i=g/67108864|0;c.words[0]=h;for(var j=1;j>>26,l=67108863&i,m=Math.min(j,b.length-1),n=Math.max(0,j-a.length+1);n<=m;n++){var o=j-n|0;e=0|a.words[o],f=0|b.words[n],g=e*f+l,k+=g/67108864|0,l=67108863&g}c.words[j]=0|l,i=0|k}return 0!==i?c.words[j]=0|i:c.length--,c.strip()}function k(a,b,c){c.negative=b.negative^a.negative,c.length=a.length+b.length;for(var d=0,e=0,f=0;f>>26)|0,e+=g>>>26,g&=67108863}c.words[f]=h,d=g,g=e}return 0!==d?c.words[f]=d:c.length--,c.strip()}function l(a,b,c){var d=new m;return d.mulp(a,b,c)}function m(a,b){this.x=a,this.y=b}function n(a,b){this.name=a,this.p=new f(b,16),this.n=this.p.bitLength(),this.k=new f(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function o(){n.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function p(){n.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function q(){n.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function r(){n.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function s(a){if("string"==typeof a){var b=f._prime(a);this.m=b.p,this.prime=b}else d(a.gtn(1),"modulus must be greater than 1"),this.m=a,this.prime=null}function t(a){s.call(this,a),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new f(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)}"object"==typeof b?b.exports=f:c.BN=f,f.BN=f,f.wordSize=26;var u;try{u=a("buffer").Buffer}catch(v){}f.isBN=function(a){return a instanceof f||null!==a&&"object"==typeof a&&a.constructor.wordSize===f.wordSize&&Array.isArray(a.words)},f.max=function(a,b){return a.cmp(b)>0?a:b},f.min=function(a,b){return a.cmp(b)<0?a:b},f.prototype._init=function(a,b,c){if("number"==typeof a)return this._initNumber(a,b,c);if("object"==typeof a)return this._initArray(a,b,c);"hex"===b&&(b=16),d(b===(0|b)&&b>=2&&b<=36),a=a.toString().replace(/\s+/g,"");var e=0;"-"===a[0]&&e++,16===b?this._parseHex(a,e):this._parseBase(a,b,e),"-"===a[0]&&(this.negative=1),this.strip(),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initNumber=function(a,b,c){a<0&&(this.negative=1,a=-a),a<67108864?(this.words=[67108863&a],this.length=1):a<4503599627370496?(this.words=[67108863&a,a/67108864&67108863],this.length=2):(d(a<9007199254740992),this.words=[67108863&a,a/67108864&67108863,1],this.length=3),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initArray=function(a,b,c){if(d("number"==typeof a.length),a.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(a.length/3),this.words=new Array(this.length);for(var e=0;e=0;e-=3)g=a[e]|a[e-1]<<8|a[e-2]<<16,this.words[f]|=g<>>26-h&67108863,h+=24,h>=26&&(h-=26,f++);else if("le"===c)for(e=0,f=0;e>>26-h&67108863,h+=24,h>=26&&(h-=26,f++);return this.strip()},f.prototype._parseHex=function(a,b){this.length=Math.ceil((a.length-b)/6),this.words=new Array(this.length);for(var c=0;c=b;c-=6)e=g(a,c,c+6),this.words[d]|=e<>>26-f&4194303,f+=24,f>=26&&(f-=26,d++);c+6!==b&&(e=g(a,b,c+6),this.words[d]|=e<>>26-f&4194303),this.strip()},f.prototype._parseBase=function(a,b,c){this.words=[0],this.length=1;for(var d=0,e=1;e<=67108863;e*=b)d++;d--,e=e/b|0;for(var f=a.length-c,g=f%d,i=Math.min(f,f-g)+c,j=0,k=c;k1&&0===this.words[this.length-1];)this.length--;return this._normSign()},f.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},f.prototype.inspect=function(){return(this.red?""};var w=["","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"],x=[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],y=[0,0,33554432,43046721,16777216,48828125,60466176,40353607,16777216,43046721,1e7,19487171,35831808,62748517,7529536,11390625,16777216,24137569,34012224,47045881,64e6,4084101,5153632,6436343,7962624,9765625,11881376,14348907,17210368,20511149,243e5,28629151,33554432,39135393,45435424,52521875,60466176];f.prototype.toString=function(a,b){a=a||10,b=0|b||1;var c;if(16===a||"hex"===a){c="";for(var e=0,f=0,g=0;g>>24-e&16777215,c=0!==f||g!==this.length-1?w[6-i.length]+i+c:i+c,e+=2,e>=26&&(e-=26,g--)}for(0!==f&&(c=f.toString(16)+c);c.length%b!==0;)c="0"+c;return 0!==this.negative&&(c="-"+c),c}if(a===(0|a)&&a>=2&&a<=36){var j=x[a],k=y[a];c="";var l=this.clone();for(l.negative=0;!l.isZero();){var m=l.modn(k).toString(a);l=l.idivn(k),c=l.isZero()?m+c:w[j-m.length]+m+c}for(this.isZero()&&(c="0"+c);c.length%b!==0;)c="0"+c;return 0!==this.negative&&(c="-"+c),c}d(!1,"Base should be between 2 and 36")},f.prototype.toNumber=function(){var a=this.words[0];return 2===this.length?a+=67108864*this.words[1]:3===this.length&&1===this.words[2]?a+=4503599627370496+67108864*this.words[1]:this.length>2&&d(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-a:a},f.prototype.toJSON=function(){return this.toString(16)},f.prototype.toBuffer=function(a,b){return d("undefined"!=typeof u),this.toArrayLike(u,a,b)},f.prototype.toArray=function(a,b){return 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b;b=this.length>a.length?a:this;for(var c=0;ca.length?this.clone().iand(a):a.clone().iand(this)},f.prototype.uand=function(a){return this.length>a.length?this.clone().iuand(a):a.clone().iuand(this)},f.prototype.iuxor=function(a){var b,c;this.length>a.length?(b=this,c=a):(b=a,c=this);for(var d=0;da.length?this.clone().ixor(a):a.clone().ixor(this)},f.prototype.uxor=function(a){return this.length>a.length?this.clone().iuxor(a):a.clone().iuxor(this)},f.prototype.inotn=function(a){d("number"==typeof a&&a>=0);var b=0|Math.ceil(a/26),c=a%26;this._expand(b),c>0&&b--;for(var e=0;e0&&(this.words[e]=~this.words[e]&67108863>>26-c),this.strip()},f.prototype.notn=function(a){return this.clone().inotn(a)},f.prototype.setn=function(a,b){d("number"==typeof a&&a>=0);var c=a/26|0,e=a%26;return this._expand(c+1),b?this.words[c]=this.words[c]|1<a.length?(c=this,d=a):(c=a,d=this);for(var e=0,f=0;f>>26;for(;0!==e&&f>>26;if(this.length=c.length,0!==e)this.words[this.length]=e,this.length++;else 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f=0,g=0;g>26,this.words[g]=67108863&b;for(;0!==f&&g>26,this.words[g]=67108863&b;if(0===f&&g>>13,n=0|g[1],o=8191&n,p=n>>>13,q=0|g[2],r=8191&q,s=q>>>13,t=0|g[3],u=8191&t,v=t>>>13,w=0|g[4],x=8191&w,y=w>>>13,z=0|g[5],A=8191&z,B=z>>>13,C=0|g[6],D=8191&C,E=C>>>13,F=0|g[7],G=8191&F,H=F>>>13,I=0|g[8],J=8191&I,K=I>>>13,L=0|g[9],M=8191&L,N=L>>>13,O=0|h[0],P=8191&O,Q=O>>>13,R=0|h[1],S=8191&R,T=R>>>13,U=0|h[2],V=8191&U,W=U>>>13,X=0|h[3],Y=8191&X,Z=X>>>13,$=0|h[4],_=8191&$,aa=$>>>13,ba=0|h[5],ca=8191&ba,da=ba>>>13,ea=0|h[6],fa=8191&ea,ga=ea>>>13,ha=0|h[7],ia=8191&ha,ja=ha>>>13,ka=0|h[8],la=8191&ka,ma=ka>>>13,na=0|h[9],oa=8191&na,pa=na>>>13;c.negative=a.negative^b.negative,c.length=19,d=Math.imul(l,P),e=Math.imul(l,Q),e=e+Math.imul(m,P)|0,f=Math.imul(m,Q);var qa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(qa>>>26)|0,qa&=67108863,d=Math.imul(o,P),e=Math.imul(o,Q),e=e+Math.imul(p,P)|0,f=Math.imul(p,Q),d=d+Math.imul(l,S)|0,e=e+Math.imul(l,T)|0,e=e+Math.imul(m,S)|0,f=f+Math.imul(m,T)|0;var ra=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ra>>>26)|0,ra&=67108863,d=Math.imul(r,P),e=Math.imul(r,Q),e=e+Math.imul(s,P)|0,f=Math.imul(s,Q),d=d+Math.imul(o,S)|0,e=e+Math.imul(o,T)|0,e=e+Math.imul(p,S)|0,f=f+Math.imul(p,T)|0,d=d+Math.imul(l,V)|0,e=e+Math.imul(l,W)|0,e=e+Math.imul(m,V)|0,f=f+Math.imul(m,W)|0;var sa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(sa>>>26)|0,sa&=67108863,d=Math.imul(u,P),e=Math.imul(u,Q),e=e+Math.imul(v,P)|0,f=Math.imul(v,Q),d=d+Math.imul(r,S)|0,e=e+Math.imul(r,T)|0,e=e+Math.imul(s,S)|0,f=f+Math.imul(s,T)|0,d=d+Math.imul(o,V)|0,e=e+Math.imul(o,W)|0,e=e+Math.imul(p,V)|0,f=f+Math.imul(p,W)|0,d=d+Math.imul(l,Y)|0,e=e+Math.imul(l,Z)|0,e=e+Math.imul(m,Y)|0,f=f+Math.imul(m,Z)|0;var ta=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ta>>>26)|0,ta&=67108863,d=Math.imul(x,P),e=Math.imul(x,Q),e=e+Math.imul(y,P)|0,f=Math.imul(y,Q),d=d+Math.imul(u,S)|0,e=e+Math.imul(u,T)|0,e=e+Math.imul(v,S)|0,f=f+Math.imul(v,T)|0,d=d+Math.imul(r,V)|0,e=e+Math.imul(r,W)|0,e=e+Math.imul(s,V)|0,f=f+Math.imul(s,W)|0,d=d+Math.imul(o,Y)|0,e=e+Math.imul(o,Z)|0,e=e+Math.imul(p,Y)|0,f=f+Math.imul(p,Z)|0,d=d+Math.imul(l,_)|0,e=e+Math.imul(l,aa)|0,e=e+Math.imul(m,_)|0,f=f+Math.imul(m,aa)|0;var ua=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ua>>>26)|0,ua&=67108863,d=Math.imul(A,P),e=Math.imul(A,Q),e=e+Math.imul(B,P)|0,f=Math.imul(B,Q),d=d+Math.imul(x,S)|0,e=e+Math.imul(x,T)|0,e=e+Math.imul(y,S)|0,f=f+Math.imul(y,T)|0,d=d+Math.imul(u,V)|0,e=e+Math.imul(u,W)|0,e=e+Math.imul(v,V)|0,f=f+Math.imul(v,W)|0,d=d+Math.imul(r,Y)|0,e=e+Math.imul(r,Z)|0,e=e+Math.imul(s,Y)|0,f=f+Math.imul(s,Z)|0,d=d+Math.imul(o,_)|0,e=e+Math.imul(o,aa)|0,e=e+Math.imul(p,_)|0,f=f+Math.imul(p,aa)|0,d=d+Math.imul(l,ca)|0,e=e+Math.imul(l,da)|0,e=e+Math.imul(m,ca)|0,f=f+Math.imul(m,da)|0;var va=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(va>>>26)|0,va&=67108863,d=Math.imul(D,P),e=Math.imul(D,Q),e=e+Math.imul(E,P)|0,f=Math.imul(E,Q),d=d+Math.imul(A,S)|0,e=e+Math.imul(A,T)|0,e=e+Math.imul(B,S)|0,f=f+Math.imul(B,T)|0,d=d+Math.imul(x,V)|0,e=e+Math.imul(x,W)|0,e=e+Math.imul(y,V)|0,f=f+Math.imul(y,W)|0,d=d+Math.imul(u,Y)|0,e=e+Math.imul(u,Z)|0,e=e+Math.imul(v,Y)|0,f=f+Math.imul(v,Z)|0,d=d+Math.imul(r,_)|0,e=e+Math.imul(r,aa)|0,e=e+Math.imul(s,_)|0,f=f+Math.imul(s,aa)|0,d=d+Math.imul(o,ca)|0,e=e+Math.imul(o,da)|0,e=e+Math.imul(p,ca)|0,f=f+Math.imul(p,da)|0,d=d+Math.imul(l,fa)|0,e=e+Math.imul(l,ga)|0,e=e+Math.imul(m,fa)|0,f=f+Math.imul(m,ga)|0;var wa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(wa>>>26)|0,wa&=67108863,d=Math.imul(G,P),e=Math.imul(G,Q),e=e+Math.imul(H,P)|0,f=Math.imul(H,Q),d=d+Math.imul(D,S)|0,e=e+Math.imul(D,T)|0,e=e+Math.imul(E,S)|0,f=f+Math.imul(E,T)|0,d=d+Math.imul(A,V)|0,e=e+Math.imul(A,W)|0,e=e+Math.imul(B,V)|0,f=f+Math.imul(B,W)|0,d=d+Math.imul(x,Y)|0,e=e+Math.imul(x,Z)|0,e=e+Math.imul(y,Y)|0,f=f+Math.imul(y,Z)|0,d=d+Math.imul(u,_)|0,e=e+Math.imul(u,aa)|0,e=e+Math.imul(v,_)|0,f=f+Math.imul(v,aa)|0,d=d+Math.imul(r,ca)|0,e=e+Math.imul(r,da)|0,e=e+Math.imul(s,ca)|0,f=f+Math.imul(s,da)|0,d=d+Math.imul(o,fa)|0,e=e+Math.imul(o,ga)|0,e=e+Math.imul(p,fa)|0,f=f+Math.imul(p,ga)|0,d=d+Math.imul(l,ia)|0,e=e+Math.imul(l,ja)|0,e=e+Math.imul(m,ia)|0,f=f+Math.imul(m,ja)|0;var xa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(xa>>>26)|0,xa&=67108863,d=Math.imul(J,P),e=Math.imul(J,Q),e=e+Math.imul(K,P)|0,f=Math.imul(K,Q),d=d+Math.imul(G,S)|0,e=e+Math.imul(G,T)|0,e=e+Math.imul(H,S)|0,f=f+Math.imul(H,T)|0,d=d+Math.imul(D,V)|0,e=e+Math.imul(D,W)|0,e=e+Math.imul(E,V)|0,f=f+Math.imul(E,W)|0,d=d+Math.imul(A,Y)|0,e=e+Math.imul(A,Z)|0,e=e+Math.imul(B,Y)|0,f=f+Math.imul(B,Z)|0,d=d+Math.imul(x,_)|0,e=e+Math.imul(x,aa)|0,e=e+Math.imul(y,_)|0,f=f+Math.imul(y,aa)|0,d=d+Math.imul(u,ca)|0,e=e+Math.imul(u,da)|0,e=e+Math.imul(v,ca)|0,f=f+Math.imul(v,da)|0,d=d+Math.imul(r,fa)|0,e=e+Math.imul(r,ga)|0,e=e+Math.imul(s,fa)|0,f=f+Math.imul(s,ga)|0,d=d+Math.imul(o,ia)|0,e=e+Math.imul(o,ja)|0,e=e+Math.imul(p,ia)|0,f=f+Math.imul(p,ja)|0,d=d+Math.imul(l,la)|0,e=e+Math.imul(l,ma)|0,e=e+Math.imul(m,la)|0,f=f+Math.imul(m,ma)|0;var ya=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ya>>>26)|0,ya&=67108863,d=Math.imul(M,P),e=Math.imul(M,Q),e=e+Math.imul(N,P)|0,f=Math.imul(N,Q),d=d+Math.imul(J,S)|0,e=e+Math.imul(J,T)|0,e=e+Math.imul(K,S)|0,f=f+Math.imul(K,T)|0,d=d+Math.imul(G,V)|0,e=e+Math.imul(G,W)|0,e=e+Math.imul(H,V)|0,f=f+Math.imul(H,W)|0,d=d+Math.imul(D,Y)|0,e=e+Math.imul(D,Z)|0,e=e+Math.imul(E,Y)|0,f=f+Math.imul(E,Z)|0,d=d+Math.imul(A,_)|0,e=e+Math.imul(A,aa)|0,e=e+Math.imul(B,_)|0,f=f+Math.imul(B,aa)|0,d=d+Math.imul(x,ca)|0,e=e+Math.imul(x,da)|0,e=e+Math.imul(y,ca)|0,f=f+Math.imul(y,da)|0,d=d+Math.imul(u,fa)|0,e=e+Math.imul(u,ga)|0,e=e+Math.imul(v,fa)|0,f=f+Math.imul(v,ga)|0,d=d+Math.imul(r,ia)|0,e=e+Math.imul(r,ja)|0,e=e+Math.imul(s,ia)|0,f=f+Math.imul(s,ja)|0,d=d+Math.imul(o,la)|0,e=e+Math.imul(o,ma)|0,e=e+Math.imul(p,la)|0,f=f+Math.imul(p,ma)|0,d=d+Math.imul(l,oa)|0,e=e+Math.imul(l,pa)|0,e=e+Math.imul(m,oa)|0,f=f+Math.imul(m,pa)|0;var za=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(za>>>26)|0,za&=67108863,d=Math.imul(M,S),e=Math.imul(M,T),e=e+Math.imul(N,S)|0,f=Math.imul(N,T),d=d+Math.imul(J,V)|0,e=e+Math.imul(J,W)|0,e=e+Math.imul(K,V)|0,f=f+Math.imul(K,W)|0,d=d+Math.imul(G,Y)|0,e=e+Math.imul(G,Z)|0,e=e+Math.imul(H,Y)|0,f=f+Math.imul(H,Z)|0,d=d+Math.imul(D,_)|0,e=e+Math.imul(D,aa)|0,e=e+Math.imul(E,_)|0,f=f+Math.imul(E,aa)|0,d=d+Math.imul(A,ca)|0,e=e+Math.imul(A,da)|0,e=e+Math.imul(B,ca)|0,f=f+Math.imul(B,da)|0,d=d+Math.imul(x,fa)|0,e=e+Math.imul(x,ga)|0,e=e+Math.imul(y,fa)|0,f=f+Math.imul(y,ga)|0,d=d+Math.imul(u,ia)|0,e=e+Math.imul(u,ja)|0,e=e+Math.imul(v,ia)|0,f=f+Math.imul(v,ja)|0,d=d+Math.imul(r,la)|0,e=e+Math.imul(r,ma)|0,e=e+Math.imul(s,la)|0,f=f+Math.imul(s,ma)|0,d=d+Math.imul(o,oa)|0,e=e+Math.imul(o,pa)|0,e=e+Math.imul(p,oa)|0,f=f+Math.imul(p,pa)|0;var Aa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Aa>>>26)|0,Aa&=67108863,d=Math.imul(M,V),e=Math.imul(M,W),e=e+Math.imul(N,V)|0,f=Math.imul(N,W),d=d+Math.imul(J,Y)|0,e=e+Math.imul(J,Z)|0,e=e+Math.imul(K,Y)|0,f=f+Math.imul(K,Z)|0,d=d+Math.imul(G,_)|0,e=e+Math.imul(G,aa)|0,e=e+Math.imul(H,_)|0,f=f+Math.imul(H,aa)|0,d=d+Math.imul(D,ca)|0,e=e+Math.imul(D,da)|0,e=e+Math.imul(E,ca)|0,f=f+Math.imul(E,da)|0,d=d+Math.imul(A,fa)|0,e=e+Math.imul(A,ga)|0,e=e+Math.imul(B,fa)|0,f=f+Math.imul(B,ga)|0,d=d+Math.imul(x,ia)|0,e=e+Math.imul(x,ja)|0,e=e+Math.imul(y,ia)|0,f=f+Math.imul(y,ja)|0,d=d+Math.imul(u,la)|0,e=e+Math.imul(u,ma)|0,e=e+Math.imul(v,la)|0,f=f+Math.imul(v,ma)|0,d=d+Math.imul(r,oa)|0,e=e+Math.imul(r,pa)|0,e=e+Math.imul(s,oa)|0,f=f+Math.imul(s,pa)|0;var Ba=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ba>>>26)|0,Ba&=67108863,d=Math.imul(M,Y),e=Math.imul(M,Z),e=e+Math.imul(N,Y)|0,f=Math.imul(N,Z),d=d+Math.imul(J,_)|0,e=e+Math.imul(J,aa)|0,e=e+Math.imul(K,_)|0,f=f+Math.imul(K,aa)|0,d=d+Math.imul(G,ca)|0,e=e+Math.imul(G,da)|0,e=e+Math.imul(H,ca)|0,f=f+Math.imul(H,da)|0,d=d+Math.imul(D,fa)|0,e=e+Math.imul(D,ga)|0,e=e+Math.imul(E,fa)|0,f=f+Math.imul(E,ga)|0,d=d+Math.imul(A,ia)|0,e=e+Math.imul(A,ja)|0,e=e+Math.imul(B,ia)|0,f=f+Math.imul(B,ja)|0,d=d+Math.imul(x,la)|0,e=e+Math.imul(x,ma)|0,e=e+Math.imul(y,la)|0,f=f+Math.imul(y,ma)|0,d=d+Math.imul(u,oa)|0,e=e+Math.imul(u,pa)|0,e=e+Math.imul(v,oa)|0,f=f+Math.imul(v,pa)|0;var Ca=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ca>>>26)|0,Ca&=67108863,d=Math.imul(M,_),e=Math.imul(M,aa),e=e+Math.imul(N,_)|0,f=Math.imul(N,aa),d=d+Math.imul(J,ca)|0,e=e+Math.imul(J,da)|0,e=e+Math.imul(K,ca)|0,f=f+Math.imul(K,da)|0,d=d+Math.imul(G,fa)|0,e=e+Math.imul(G,ga)|0,e=e+Math.imul(H,fa)|0,f=f+Math.imul(H,ga)|0,d=d+Math.imul(D,ia)|0,e=e+Math.imul(D,ja)|0,e=e+Math.imul(E,ia)|0,f=f+Math.imul(E,ja)|0,d=d+Math.imul(A,la)|0,e=e+Math.imul(A,ma)|0,e=e+Math.imul(B,la)|0,f=f+Math.imul(B,ma)|0,d=d+Math.imul(x,oa)|0,e=e+Math.imul(x,pa)|0,e=e+Math.imul(y,oa)|0,f=f+Math.imul(y,pa)|0;var Da=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Da>>>26)|0,Da&=67108863,d=Math.imul(M,ca),e=Math.imul(M,da),e=e+Math.imul(N,ca)|0,f=Math.imul(N,da),d=d+Math.imul(J,fa)|0,e=e+Math.imul(J,ga)|0,e=e+Math.imul(K,fa)|0,f=f+Math.imul(K,ga)|0,d=d+Math.imul(G,ia)|0,e=e+Math.imul(G,ja)|0,e=e+Math.imul(H,ia)|0,f=f+Math.imul(H,ja)|0,d=d+Math.imul(D,la)|0,e=e+Math.imul(D,ma)|0,e=e+Math.imul(E,la)|0,f=f+Math.imul(E,ma)|0,d=d+Math.imul(A,oa)|0,e=e+Math.imul(A,pa)|0,e=e+Math.imul(B,oa)|0,f=f+Math.imul(B,pa)|0;var Ea=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ea>>>26)|0,Ea&=67108863,d=Math.imul(M,fa),e=Math.imul(M,ga),e=e+Math.imul(N,fa)|0,f=Math.imul(N,ga),d=d+Math.imul(J,ia)|0,e=e+Math.imul(J,ja)|0,e=e+Math.imul(K,ia)|0,f=f+Math.imul(K,ja)|0,d=d+Math.imul(G,la)|0,e=e+Math.imul(G,ma)|0,e=e+Math.imul(H,la)|0,f=f+Math.imul(H,ma)|0,d=d+Math.imul(D,oa)|0,e=e+Math.imul(D,pa)|0,e=e+Math.imul(E,oa)|0,f=f+Math.imul(E,pa)|0;var Fa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Fa>>>26)|0,Fa&=67108863,d=Math.imul(M,ia),e=Math.imul(M,ja),e=e+Math.imul(N,ia)|0,f=Math.imul(N,ja),d=d+Math.imul(J,la)|0,e=e+Math.imul(J,ma)|0,e=e+Math.imul(K,la)|0,f=f+Math.imul(K,ma)|0,d=d+Math.imul(G,oa)|0,e=e+Math.imul(G,pa)|0,e=e+Math.imul(H,oa)|0,f=f+Math.imul(H,pa)|0;var Ga=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ga>>>26)|0,Ga&=67108863,d=Math.imul(M,la),e=Math.imul(M,ma),e=e+Math.imul(N,la)|0,f=Math.imul(N,ma),d=d+Math.imul(J,oa)|0,e=e+Math.imul(J,pa)|0,e=e+Math.imul(K,oa)|0,f=f+Math.imul(K,pa)|0;var Ha=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ha>>>26)|0,Ha&=67108863,d=Math.imul(M,oa),e=Math.imul(M,pa),e=e+Math.imul(N,oa)|0,f=Math.imul(N,pa);var Ia=(j+d|0)+((8191&e)<<13)|0;return j=(f+(e>>>13)|0)+(Ia>>>26)|0,Ia&=67108863,i[0]=qa,i[1]=ra,i[2]=sa,i[3]=ta,i[4]=ua,i[5]=va,i[6]=wa,i[7]=xa,i[8]=ya,i[9]=za,i[10]=Aa,i[11]=Ba,i[12]=Ca,i[13]=Da,i[14]=Ea,i[15]=Fa,i[16]=Ga,i[17]=Ha,i[18]=Ia,0!==j&&(i[19]=j,c.length++),c};Math.imul||(z=j),f.prototype.mulTo=function(a,b){var c,d=this.length+a.length;return c=10===this.length&&10===a.length?z(this,a,b):d<63?j(this,a,b):d<1024?k(this,a,b):l(this,a,b)},m.prototype.makeRBT=function(a){for(var b=new Array(a),c=f.prototype._countBits(a)-1,d=0;d>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g>>=1)e++;return 1<>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g>=26,b+=e/67108864|0,b+=f>>>26,this.words[c]=67108863&f}return 0!==b&&(this.words[c]=b,this.length++),this},f.prototype.muln=function(a){return this.clone().imuln(a)},f.prototype.sqr=function(){return this.mul(this)},f.prototype.isqr=function(){return this.imul(this.clone())},f.prototype.pow=function(a){var b=i(a);if(0===b.length)return new f(1);for(var c=this,d=0;d=0);var b,c=a%26,e=(a-c)/26,f=67108863>>>26-c<<26-c;if(0!==c){var g=0;for(b=0;b>>26-c}g&&(this.words[b]=g,this.length++)}if(0!==e){for(b=this.length-1;b>=0;b--)this.words[b+e]=this.words[b];for(b=0;b=0);var e;e=b?(b-b%26)/26:0;var f=a%26,g=Math.min((a-f)/26,this.length),h=67108863^67108863>>>f<g)for(this.length-=g,j=0;j=0&&(0!==k||j>=e);j--){var l=0|this.words[j];this.words[j]=k<<26-f|l>>>f,k=l&h}return i&&0!==k&&(i.words[i.length++]=k),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},f.prototype.ishrn=function(a,b,c){return d(0===this.negative),this.iushrn(a,b,c)},f.prototype.shln=function(a){return this.clone().ishln(a)},f.prototype.ushln=function(a){return this.clone().iushln(a)},f.prototype.shrn=function(a){return this.clone().ishrn(a)},f.prototype.ushrn=function(a){return this.clone().iushrn(a)},f.prototype.testn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26,e=1<=0);var b=a%26,c=(a-b)/26;if(d(0===this.negative,"imaskn works only with positive numbers"),this.length<=c)return this;if(0!==b&&c++,this.length=Math.min(c,this.length),0!==b){var e=67108863^67108863>>>b<=67108864;b++)this.words[b]-=67108864,b===this.length-1?this.words[b+1]=1:this.words[b+1]++;return this.length=Math.max(this.length,b+1),this},f.prototype.isubn=function(a){if(d("number"==typeof a),d(a<67108864),a<0)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;if(this.words[0]-=a,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var b=0;b>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e>26,this.words[e]=67108863&g;return this.negative=1,this.strip()},f.prototype._wordDiv=function(a,b){var c=this.length-a.length,d=this.clone(),e=a,g=0|e.words[e.length-1],h=this._countBits(g);c=26-h,0!==c&&(e=e.ushln(c),d.iushln(c),g=0|e.words[e.length-1]);var i,j=d.length-e.length;if("mod"!==b){i=new f(null),i.length=j+1,i.words=new Array(i.length);for(var k=0;k=0;m--){var n=67108864*(0|d.words[e.length+m])+(0|d.words[e.length+m-1]);for(n=Math.min(n/g|0,67108863),d._ishlnsubmul(e,n,m);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,m),d.isZero()||(d.negative^=1);i&&(i.words[m]=n); }return i&&i.strip(),d.strip(),"div"!==b&&0!==c&&d.iushrn(c),{div:i||null,mod:d}},f.prototype.divmod=function(a,b,c){if(d(!a.isZero()),this.isZero())return{div:new f(0),mod:new f(0)};var e,g,h;return 0!==this.negative&&0===a.negative?(h=this.neg().divmod(a,b),"mod"!==b&&(e=h.div.neg()),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.iadd(a)),{div:e,mod:g}):0===this.negative&&0!==a.negative?(h=this.divmod(a.neg(),b),"mod"!==b&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&a.negative)?(h=this.neg().divmod(a.neg(),b),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.isub(a)),{div:h.div,mod:g}):a.length>this.length||this.cmp(a)<0?{div:new f(0),mod:this}:1===a.length?"div"===b?{div:this.divn(a.words[0]),mod:null}:"mod"===b?{div:null,mod:new f(this.modn(a.words[0]))}:{div:this.divn(a.words[0]),mod:new f(this.modn(a.words[0]))}:this._wordDiv(a,b)},f.prototype.div=function(a){return this.divmod(a,"div",!1).div},f.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod},f.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod},f.prototype.divRound=function(a){var b=this.divmod(a);if(b.mod.isZero())return b.div;var c=0!==b.div.negative?b.mod.isub(a):b.mod,d=a.ushrn(1),e=a.andln(1),f=c.cmp(d);return f<0||1===e&&0===f?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)},f.prototype.modn=function(a){d(a<=67108863);for(var b=(1<<26)%a,c=0,e=this.length-1;e>=0;e--)c=(b*c+(0|this.words[e]))%a;return c},f.prototype.idivn=function(a){d(a<=67108863);for(var b=0,c=this.length-1;c>=0;c--){var e=(0|this.words[c])+67108864*b;this.words[c]=e/a|0,b=e%a}return this.strip()},f.prototype.divn=function(a){return this.clone().idivn(a)},f.prototype.egcd=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=new f(0),i=new f(1),j=0;b.isEven()&&c.isEven();)b.iushrn(1),c.iushrn(1),++j;for(var k=c.clone(),l=b.clone();!b.isZero();){for(var m=0,n=1;0===(b.words[0]&n)&&m<26;++m,n<<=1);if(m>0)for(b.iushrn(m);m-- >0;)(e.isOdd()||g.isOdd())&&(e.iadd(k),g.isub(l)),e.iushrn(1),g.iushrn(1);for(var o=0,p=1;0===(c.words[0]&p)&&o<26;++o,p<<=1);if(o>0)for(c.iushrn(o);o-- >0;)(h.isOdd()||i.isOdd())&&(h.iadd(k),i.isub(l)),h.iushrn(1),i.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(h),g.isub(i)):(c.isub(b),h.isub(e),i.isub(g))}return{a:h,b:i,gcd:c.iushln(j)}},f.prototype._invmp=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=c.clone();b.cmpn(1)>0&&c.cmpn(1)>0;){for(var i=0,j=1;0===(b.words[0]&j)&&i<26;++i,j<<=1);if(i>0)for(b.iushrn(i);i-- >0;)e.isOdd()&&e.iadd(h),e.iushrn(1);for(var k=0,l=1;0===(c.words[0]&l)&&k<26;++k,l<<=1);if(k>0)for(c.iushrn(k);k-- >0;)g.isOdd()&&g.iadd(h),g.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(g)):(c.isub(b),g.isub(e))}var m;return m=0===b.cmpn(1)?e:g,m.cmpn(0)<0&&m.iadd(a),m},f.prototype.gcd=function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone(),c=a.clone();b.negative=0,c.negative=0;for(var d=0;b.isEven()&&c.isEven();d++)b.iushrn(1),c.iushrn(1);for(;;){for(;b.isEven();)b.iushrn(1);for(;c.isEven();)c.iushrn(1);var e=b.cmp(c);if(e<0){var f=b;b=c,c=f}else if(0===e||0===c.cmpn(1))break;b.isub(c)}return c.iushln(d)},f.prototype.invm=function(a){return this.egcd(a).a.umod(a)},f.prototype.isEven=function(){return 0===(1&this.words[0])},f.prototype.isOdd=function(){return 1===(1&this.words[0])},f.prototype.andln=function(a){return this.words[0]&a},f.prototype.bincn=function(a){d("number"==typeof a);var b=a%26,c=(a-b)/26,e=1<>>26,h&=67108863,this.words[g]=h}return 0!==f&&(this.words[g]=f,this.length++),this},f.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},f.prototype.cmpn=function(a){var b=a<0;if(0!==this.negative&&!b)return-1;if(0===this.negative&&b)return 1;this.strip();var c;if(this.length>1)c=1;else{b&&(a=-a),d(a<=67108863,"Number is too big");var e=0|this.words[0];c=e===a?0:ea.length)return 1;if(this.length=0;c--){var d=0|this.words[c],e=0|a.words[c];if(d!==e){de&&(b=1);break}}return b},f.prototype.gtn=function(a){return 1===this.cmpn(a)},f.prototype.gt=function(a){return 1===this.cmp(a)},f.prototype.gten=function(a){return this.cmpn(a)>=0},f.prototype.gte=function(a){return this.cmp(a)>=0},f.prototype.ltn=function(a){return this.cmpn(a)===-1},f.prototype.lt=function(a){return this.cmp(a)===-1},f.prototype.lten=function(a){return this.cmpn(a)<=0},f.prototype.lte=function(a){return this.cmp(a)<=0},f.prototype.eqn=function(a){return 0===this.cmpn(a)},f.prototype.eq=function(a){return 0===this.cmp(a)},f.red=function(a){return new s(a)},f.prototype.toRed=function(a){return d(!this.red,"Already a number in reduction context"),d(0===this.negative,"red works only with positives"),a.convertTo(this)._forceRed(a)},f.prototype.fromRed=function(){return d(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},f.prototype._forceRed=function(a){return this.red=a,this},f.prototype.forceRed=function(a){return d(!this.red,"Already a number in reduction context"),this._forceRed(a)},f.prototype.redAdd=function(a){return d(this.red,"redAdd works only with red numbers"),this.red.add(this,a)},f.prototype.redIAdd=function(a){return d(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,a)},f.prototype.redSub=function(a){return d(this.red,"redSub works only with red numbers"),this.red.sub(this,a)},f.prototype.redISub=function(a){return d(this.red,"redISub works only with red 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B;if("k256"===a)B=new o;else if("p224"===a)B=new p;else if("p192"===a)B=new q;else{if("p25519"!==a)throw new Error("Unknown prime "+a);B=new r}return A[a]=B,B},s.prototype._verify1=function(a){d(0===a.negative,"red works only with positives"),d(a.red,"red works only with red numbers")},s.prototype._verify2=function(a,b){d(0===(a.negative|b.negative),"red works only with positives"),d(a.red&&a.red===b.red,"red works only with red numbers")},s.prototype.imod=function(a){return this.prime?this.prime.ireduce(a)._forceRed(this):a.umod(this.m)._forceRed(this)},s.prototype.neg=function(a){return a.isZero()?a.clone():this.m.sub(a)._forceRed(this)},s.prototype.add=function(a,b){this._verify2(a,b);var c=a.add(b);return c.cmp(this.m)>=0&&c.isub(this.m),c._forceRed(this)},s.prototype.iadd=function(a,b){this._verify2(a,b);var c=a.iadd(b);return c.cmp(this.m)>=0&&c.isub(this.m),c},s.prototype.sub=function(a,b){this._verify2(a,b);var c=a.sub(b);return c.cmpn(0)<0&&c.iadd(this.m),c._forceRed(this)},s.prototype.isub=function(a,b){this._verify2(a,b);var c=a.isub(b);return c.cmpn(0)<0&&c.iadd(this.m),c},s.prototype.shl=function(a,b){return this._verify1(a),this.imod(a.ushln(b))},s.prototype.imul=function(a,b){return this._verify2(a,b),this.imod(a.imul(b))},s.prototype.mul=function(a,b){return this._verify2(a,b),this.imod(a.mul(b))},s.prototype.isqr=function(a){return this.imul(a,a.clone())},s.prototype.sqr=function(a){return this.mul(a,a)},s.prototype.sqrt=function(a){if(a.isZero())return a.clone();var b=this.m.andln(3);if(d(b%2===1),3===b){var c=this.m.add(new f(1)).iushrn(2);return this.pow(a,c)}for(var e=this.m.subn(1),g=0;!e.isZero()&&0===e.andln(1);)g++,e.iushrn(1);d(!e.isZero());var h=new f(1).toRed(this),i=h.redNeg(),j=this.m.subn(1).iushrn(1),k=this.m.bitLength();for(k=new f(2*k*k).toRed(this);0!==this.pow(k,j).cmp(i);)k.redIAdd(i);for(var l=this.pow(k,e),m=this.pow(a,e.addn(1).iushrn(1)),n=this.pow(a,e),o=g;0!==n.cmp(h);){for(var p=n,q=0;0!==p.cmp(h);q++)p=p.redSqr();d(q=0;e--){for(var k=b.words[e],l=j-1;l>=0;l--){var m=k>>l&1;g!==d[0]&&(g=this.sqr(g)),0!==m||0!==h?(h<<=1,h|=m,i++,(i===c||0===e&&0===l)&&(g=this.mul(g,d[h]),i=0,h=0)):i=0}j=26}return g},s.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b},s.prototype.convertFrom=function(a){var b=a.clone();return b.red=null,b},f.mont=function(a){return new t(a)},e(t,s),t.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))},t.prototype.convertFrom=function(a){var b=this.imod(a.mul(this.rinv));return b.red=null,b},t.prototype.imul=function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var c=a.imul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),f=e;return e.cmp(this.m)>=0?f=e.isub(this.m):e.cmpn(0)<0&&(f=e.iadd(this.m)),f._forceRed(this)},t.prototype.mul=function(a,b){if(a.isZero()||b.isZero())return new f(0)._forceRed(this);var c=a.mul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),g=e;return e.cmp(this.m)>=0?g=e.isub(this.m):e.cmpn(0)<0&&(g=e.iadd(this.m)),g._forceRed(this)},t.prototype.invm=function(a){var b=this.imod(a._invmp(this.m).mul(this.r2));return b._forceRed(this)}}("undefined"==typeof b||b,this)},{buffer:18}],17:[function(a,b,c){function d(a){this.rand=a}var e;if(b.exports=function(a){return e||(e=new d(null)),e.generate(a)},b.exports.Rand=d,d.prototype.generate=function(a){return this._rand(a)},d.prototype._rand=function(a){if(this.rand.getBytes)return this.rand.getBytes(a);for(var b=new Uint8Array(a),c=0;c=this._delta8){a=this.pending;var c=a.length%this._delta8;this.pending=a.slice(a.length-c,a.length),0===this.pending.length&&(this.pending=null),a=e.join32(a,0,a.length-c,this.endian);for(var d=0;d>>24&255,d[e++]=a>>>16&255,d[e++]=a>>>8&255,d[e++]=255&a}else for(d[e++]=255&a,d[e++]=a>>>8&255,d[e++]=a>>>16&255,d[e++]=a>>>24&255,d[e++]=0,d[e++]=0,d[e++]=0,d[e++]=0,f=8;fthis.blockSize&&(a=(new this.Hash).update(a).digest()),f(a.length<=this.blockSize);for(var b=a.length;b>>3}function k(a){return m(a,17)^m(a,19)^a>>>10}var l=a("../utils"),m=l.rotr32;c.ft_1=d,c.ch32=e,c.maj32=f,c.p32=g,c.s0_256=h,c.s1_256=i,c.g0_256=j,c.g1_256=k},{"../utils":30}],30:[function(a,b,c){"use strict";function d(a,b){return 55296===(64512&a.charCodeAt(b))&&(!(b<0||b+1>=a.length)&&56320===(64512&a.charCodeAt(b+1)))}function e(a,b){if(Array.isArray(a))return a.slice();if(!a)return[];var c=[];if("string"==typeof 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Object.create?b.exports=function(a,b){b&&(a.super_=b,a.prototype=Object.create(b.prototype,{constructor:{value:a,enumerable:!1,writable:!0,configurable:!0}}))}:b.exports=function(a,b){if(b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}}},{}],33:[function(a,b,c){function d(a,b){if(!a)throw new Error(b||"Assertion failed")}b.exports=d,d.equal=function(a,b,c){if(a!=b)throw new Error(c||"Assertion failed: "+a+" != "+b)}},{}],34:[function(a,b,c){"use strict";function d(a,b){if(Array.isArray(a))return a.slice();if(!a)return[];var c=[];if("string"!=typeof a){for(var d=0;d>8,g=255&e;f?c.push(f,g):c.push(g)}return c}function e(a){return 1===a.length?"0"+a:a}function f(a){for(var b="",c=0;c",license:"MIT",bugs:{url:"https://github.com/indutny/elliptic/issues"},homepage:"https://github.com/indutny/elliptic",devDependencies:{brfs:"^1.4.3",coveralls:"^3.0.8",grunt:"^1.0.4","grunt-browserify":"^5.0.0","grunt-cli":"^1.2.0","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":"^9.0.1",istanbul:"^0.4.2",jscs:"^3.0.7",jshint:"^2.10.3",mocha:"^6.2.2"},dependencies:{"bn.js":"^4.4.0",brorand:"^1.0.1","hash.js":"^1.0.0","hmac-drbg":"^1.0.0",inherits:"^2.0.1","minimalistic-assert":"^1.0.0","minimalistic-crypto-utils":"^1.0.0"}}},{}]},{},[1])(1)}); \ No newline at end of file diff --git a/package-lock.json b/package-lock.json index dcb6d255..57cab846 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,6 +1,6 @@ { "name": "elliptic", - "version": "6.5.2", + "version": "6.5.3", "lockfileVersion": 1, "requires": true, "dependencies": { diff --git a/package.json b/package.json index 37f12254..960c456d 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "elliptic", - "version": "6.5.2", + "version": "6.5.3", "description": "EC cryptography", "main": "lib/elliptic.js", "files": [ From 8421a01aa3ff789c79f91eaf8845558a7be2b9fa Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Sun, 2 Aug 2020 08:13:57 -0700 Subject: [PATCH 11/15] build(deps): bump elliptic from 6.4.1 to 6.5.3 (#231) Bumps [elliptic](https://github.com/indutny/elliptic) from 6.4.1 to 6.5.3. - [Release notes](https://github.com/indutny/elliptic/releases) - [Commits](https://github.com/indutny/elliptic/compare/v6.4.1...v6.5.3) Signed-off-by: dependabot[bot] Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com> --- package-lock.json | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/package-lock.json b/package-lock.json index 57cab846..c8318514 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1564,9 +1564,9 @@ "dev": true }, "elliptic": { - "version": "6.4.1", - "resolved": "https://registry.npmjs.org/elliptic/-/elliptic-6.4.1.tgz", - "integrity": "sha512-BsXLz5sqX8OHcsh7CqBMztyXARmGQ3LWPtGjJi6DiJHq5C/qvi9P3OqgswKSDftbu8+IoI/QDTAm2fFnQ9SZSQ==", + "version": "6.5.3", + "resolved": "https://registry.npmjs.org/elliptic/-/elliptic-6.5.3.tgz", + "integrity": "sha512-IMqzv5wNQf+E6aHeIqATs0tOLeOTwj1QKbRcS3jBbYkl5oLAserA8yJTT7/VyHUYG91PRmPyeQDObKLPpeS4dw==", "dev": true, "requires": { "bn.js": "^4.4.0", From e71b2d9359c5fe9437fbf46f1f05096de447de57 Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Sun, 2 Aug 2020 08:33:08 -0700 Subject: [PATCH 12/15] lib: relint using eslint --- .eslintignore | 1 + .eslintrc.js | 68 + .jscsrc | 46 - .jshintrc | 89 - lib/elliptic/curve/base.js | 65 +- lib/elliptic/curve/edwards.js | 21 +- lib/elliptic/curve/short.js | 93 +- lib/elliptic/curves.js | 42 +- lib/elliptic/ec/index.js | 24 +- lib/elliptic/ec/key.js | 4 +- lib/elliptic/eddsa/index.js | 4 +- lib/elliptic/eddsa/signature.js | 2 +- lib/elliptic/precomputed/secp256k1.js | 394 +- lib/elliptic/utils.js | 12 +- package-lock.json | 4540 ++++++--------- package.json | 40 +- test/api-test.js | 5 +- test/curve-test.js | 87 +- test/ecdh-test.js | 12 +- test/ecdsa-test.js | 126 +- test/ed25519-test.js | 7 +- test/fixtures/derivation-fixtures.js | 7678 ++++++++++++------------- test/index.js | 3 + 23 files changed, 6283 insertions(+), 7080 deletions(-) create mode 100644 .eslintignore create mode 100644 .eslintrc.js delete mode 100644 .jscsrc delete mode 100644 .jshintrc diff --git a/.eslintignore b/.eslintignore new file mode 100644 index 00000000..b8859a65 --- /dev/null +++ b/.eslintignore @@ -0,0 +1 @@ +test/lib diff --git a/.eslintrc.js b/.eslintrc.js new file mode 100644 index 00000000..8f036e27 --- /dev/null +++ b/.eslintrc.js @@ -0,0 +1,68 @@ +module.exports = { + "env": { + "node": true, + "es6": true + }, + "extends": [ + "eslint:recommended", + ], + "globals": { + "Atomics": "readonly", + "SharedArrayBuffer": "readonly", + "BigInt": "readonly", + }, + "parserOptions": { + "ecmaVersion": 2020, + "sourceType": "module", + "ecmaFeatures": { + "jsx": true + } + }, + "rules": { + "indent": [ + "error", + 2 + ], + "linebreak-style": [ + "error", + "unix" + ], + "quotes": [ + "error", + "single" + ], + "semi": [ + "error", + "always" + ], + "array-bracket-spacing": [ "error", "always" ], + "brace-style": [ "error" ], + "camelcase": [ "error" ], + "comma-spacing": [ "error" ], + "comma-style": [ "error" ], + "eol-last": [ "error" ], + "func-call-spacing": [ "error" ], + "func-name-matching": [ "error" ], + "no-multiple-empty-lines": [ "error" ], + "no-tabs": [ "error" ], + "no-trailing-spaces": [ "error" ], + "no-whitespace-before-property": [ "error" ], + "object-curly-newline": [ "error" ], + "object-curly-spacing": [ "error", "always" ], + "padded-blocks": [ "error", "never" ], + "quotes": [ "error", "single", { "avoidEscape": true } ], + "semi-spacing": [ "error" ], + "semi-style": [ "error" ], + "space-before-blocks": [ "error" ], + "space-in-parens": [ "error" ], + "space-infix-ops": [ "error" ], + "space-unary-ops": [ "error" ], + "switch-colon-spacing": [ "error" ], + "comma-dangle": [ "error", "always-multiline" ], + }, + "settings": { + "react": { + "version": "detect", + }, + } +}; diff --git a/.jscsrc b/.jscsrc deleted file mode 100644 index dbaae205..00000000 --- a/.jscsrc +++ /dev/null @@ -1,46 +0,0 @@ -{ - "disallowKeywordsOnNewLine": [ "else" ], - "disallowMixedSpacesAndTabs": true, - "disallowMultipleLineStrings": true, - "disallowMultipleVarDecl": true, - "disallowNewlineBeforeBlockStatements": true, - "disallowQuotedKeysInObjects": true, - "disallowSpaceAfterObjectKeys": true, - "disallowSpaceAfterPrefixUnaryOperators": true, - "disallowSpaceBeforePostfixUnaryOperators": true, - "disallowSpacesInCallExpression": true, - "disallowTrailingComma": true, - "disallowTrailingWhitespace": true, - "disallowYodaConditions": true, - - "requireCommaBeforeLineBreak": true, - "requireOperatorBeforeLineBreak": true, - "requireSpaceAfterBinaryOperators": true, - "requireSpaceAfterKeywords": [ "if", "for", "while", "else", "try", "catch" ], - "requireSpaceAfterLineComment": true, - "requireSpaceBeforeBinaryOperators": true, - "requireSpaceBeforeBlockStatements": true, - "requireSpaceBeforeKeywords": [ "else", "catch" ], - "requireSpaceBeforeObjectValues": true, - "requireSpaceBetweenArguments": true, - "requireSpacesInAnonymousFunctionExpression": { - "beforeOpeningCurlyBrace": true - }, - "requireSpacesInFunctionDeclaration": { - "beforeOpeningCurlyBrace": true - }, - "requireSpacesInFunctionExpression": { - "beforeOpeningCurlyBrace": true - }, - "requireSpacesInConditionalExpression": true, - "requireSpacesInForStatement": true, - "requireSpacesInsideArrayBrackets": "all", - "requireSpacesInsideObjectBrackets": "all", - "requireDotNotation": true, - - "maximumLineLength": 80, - "validateIndentation": 2, - "validateLineBreaks": "LF", - "validateParameterSeparator": ", ", - "validateQuoteMarks": "'" -} diff --git a/.jshintrc b/.jshintrc deleted file mode 100644 index 2e93275c..00000000 --- a/.jshintrc +++ /dev/null @@ -1,89 +0,0 @@ -{ - // JSHint Default Configuration File (as on JSHint website) - // See http://jshint.com/docs/ for more details - - "maxerr" : 50, // {int} Maximum error before stopping - - // Enforcing - "bitwise" : false, // true: Prohibit bitwise operators (&, |, ^, etc.) - "camelcase" : true, // true: Identifiers must be in camelCase - "curly" : false, // true: Require {} for every new block or scope - "eqeqeq" : true, // true: Require triple equals (===) for comparison - "forin" : true, // true: Require filtering for..in loops with obj.hasOwnProperty() - "freeze" : true, // true: prohibits overwriting prototypes of native objects such as Array, Date etc. - "immed" : false, // true: Require immediate invocations to be wrapped in parens e.g. `(function () { } ());` - "indent" : 2, // {int} Number of spaces to use for indentation - "latedef" : true, // true: Require variables/functions to be defined before being used - "newcap" : true, // true: Require capitalization of all constructor functions e.g. `new F()` - "noarg" : true, // true: Prohibit use of `arguments.caller` and `arguments.callee` - "noempty" : false, // true: Prohibit use of empty blocks - "nonbsp" : true, // true: Prohibit "non-breaking whitespace" characters. - "nonew" : false, // true: Prohibit use of constructors for side-effects (without assignment) - "plusplus" : false, // true: Prohibit use of `++` & `--` - "quotmark" : "single", // Quotation mark consistency: - // false : do nothing (default) - // true : ensure whatever is used is consistent - // "single" : require single quotes - // "double" : require double quotes - "undef" : true, // true: Require all non-global variables to be declared (prevents global leaks) - "unused" : true, // true: Require all defined variables be used - "strict" : true, // true: Requires all functions run in ES5 Strict Mode - "maxparams" : false, // {int} Max number of formal params allowed per function - "maxdepth" : 4, // {int} Max depth of nested blocks (within functions) - "maxstatements" : false, // {int} Max number statements per function - "maxcomplexity" : false, // {int} Max cyclomatic complexity per function - "maxlen" : false, // {int} Max number of characters per line - - // Relaxing - "asi" : false, // true: Tolerate Automatic Semicolon Insertion (no semicolons) - "boss" : false, // true: Tolerate assignments where comparisons would be expected - "debug" : false, // true: Allow debugger statements e.g. browser breakpoints. - "eqnull" : false, // true: Tolerate use of `== null` - "es5" : false, // true: Allow ES5 syntax (ex: getters and setters) - "esnext" : false, // true: Allow ES.next (ES6) syntax (ex: `const`) - "moz" : false, // true: Allow Mozilla specific syntax (extends and overrides esnext features) - // (ex: `for each`, multiple try/catch, function expression…) - "evil" : false, // true: Tolerate use of `eval` and `new Function()` - "expr" : false, // true: Tolerate `ExpressionStatement` as Programs - "funcscope" : false, // true: Tolerate defining variables inside control statements - "globalstrict" : false, // true: Allow global "use strict" (also enables 'strict') - "iterator" : false, // true: Tolerate using the `__iterator__` property - "lastsemic" : false, // true: Tolerate omitting a semicolon for the last statement of a 1-line block - "laxbreak" : false, // true: Tolerate possibly unsafe line breakings - "laxcomma" : false, // true: Tolerate comma-first style coding - "loopfunc" : false, // true: Tolerate functions being defined in loops - "multistr" : false, // true: Tolerate multi-line strings - "noyield" : false, // true: Tolerate generator functions with no yield statement in them. - "notypeof" : false, // true: Tolerate invalid typeof operator values - "proto" : false, // true: Tolerate using the `__proto__` property - "scripturl" : false, // true: Tolerate script-targeted URLs - "shadow" : true, // true: Allows re-define variables later in code e.g. `var x=1; x=2;` - "sub" : false, // true: Tolerate using `[]` notation when it can still be expressed in dot notation - "supernew" : false, // true: Tolerate `new function () { ... };` and `new Object;` - "validthis" : false, // true: Tolerate using this in a non-constructor function - - // Environments - "browser" : true, // Web Browser (window, document, etc) - "browserify" : true, // Browserify (node.js code in the browser) - "couch" : false, // CouchDB - "devel" : true, // Development/debugging (alert, confirm, etc) - "dojo" : false, // Dojo Toolkit - "jasmine" : false, // Jasmine - "jquery" : false, // jQuery - "mocha" : true, // Mocha - "mootools" : false, // MooTools - "node" : true, // Node.js - "nonstandard" : false, // Widely adopted globals (escape, unescape, etc) - "prototypejs" : false, // Prototype and Scriptaculous - "qunit" : false, // QUnit - "rhino" : false, // Rhino - "shelljs" : false, // ShellJS - "worker" : false, // Web Workers - "wsh" : false, // Windows Scripting Host - "yui" : false, // Yahoo User Interface - - // Custom Globals - "globals" : { - "module": true - } // additional predefined global variables -} diff --git a/lib/elliptic/curve/base.js b/lib/elliptic/curve/base.js index 83ffe9fe..8543fa80 100644 --- a/lib/elliptic/curve/base.js +++ b/lib/elliptic/curve/base.js @@ -59,18 +59,20 @@ BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { // 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]; + var j; + var nafW; + for (j = 0; j < naf.length; j += doubles.step) { + nafW = 0; + for (var l = j + doubles.step - 1; l >= j; l--) + nafW = (nafW << 1) + naf[l]; 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]; + for (j = 0; j < repr.length; j++) { + nafW = repr[j]; if (nafW === i) b = b.mixedAdd(doubles.points[j]); else if (nafW === -i) @@ -96,11 +98,11 @@ BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { 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++; + for (var l = 0; i >= 0 && naf[i] === 0; i--) + l++; if (i >= 0) - k++; - acc = acc.dblp(k); + l++; + acc = acc.dblp(l); if (i < 0) break; @@ -124,25 +126,28 @@ BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { }; BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, - points, - coeffs, - len, - jacobianResult) { + 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 i; + var j; + var p; + for (i = 0; i < len; i++) { + 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) { + for (i = len - 1; i >= 1; i -= 2) { var a = i - 1; var b = i; if (wndWidth[a] !== 1 || wndWidth[b] !== 1) { @@ -157,7 +162,7 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, points[a], /* 1 */ null, /* 3 */ null, /* 5 */ - points[b] /* 7 */ + points[b], /* 7 */ ]; // Try to avoid Projective points, if possible @@ -181,14 +186,14 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, 7, /* 0 1 */ 5, /* 1 -1 */ 1, /* 1 0 */ - 3 /* 1 1 */ + 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++) { + for (j = 0; j < max; j++) { var ja = jsf[0][j] | 0; var jb = jsf[1][j] | 0; @@ -200,12 +205,12 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, var acc = this.jpoint(null, null, null); var tmp = this._wnafT4; - for (var i = max; i >= 0; i--) { + for (i = max; i >= 0; i--) { var k = 0; while (i >= 0) { var zero = true; - for (var j = 0; j < len; j++) { + for (j = 0; j < len; j++) { tmp[j] = naf[j][i] | 0; if (tmp[j] !== 0) zero = false; @@ -221,9 +226,9 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, if (i < 0) break; - for (var j = 0; j < len; j++) { + for (j = 0; j < len; j++) { var z = tmp[j]; - var p; + p; if (z === 0) continue; else if (z > 0) @@ -238,7 +243,7 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, } } // Zeroify references - for (var i = 0; i < len; i++) + for (i = 0; i < len; i++) wnd[i] = null; if (jacobianResult) @@ -276,7 +281,7 @@ BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) { assert(bytes[bytes.length - 1] % 2 === 1); var res = this.point(bytes.slice(1, 1 + len), - bytes.slice(1 + len, 1 + 2 * len)); + bytes.slice(1 + len, 1 + 2 * len)); return res; } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) && @@ -297,7 +302,7 @@ BasePoint.prototype._encode = function _encode(compact) { if (compact) return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x); - return [ 0x04 ].concat(x, this.getY().toArray('be', len)) ; + return [ 0x04 ].concat(x, this.getY().toArray('be', len)); }; BasePoint.prototype.encode = function encode(enc, compact) { @@ -311,7 +316,7 @@ BasePoint.prototype.precompute = function precompute(power) { var precomputed = { doubles: null, naf: null, - beta: null + beta: null, }; precomputed.naf = this._getNAFPoints(8); precomputed.doubles = this._getDoubles(4, power); @@ -345,7 +350,7 @@ BasePoint.prototype._getDoubles = function _getDoubles(step, power) { } return { step: step, - points: doubles + points: doubles, }; }; @@ -360,7 +365,7 @@ BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) { res[i] = res[i - 1].add(dbl); return { wnd: wnd, - points: res + points: res, }; }; diff --git a/lib/elliptic/curve/edwards.js b/lib/elliptic/curve/edwards.js index 1c53fe98..6e757c6d 100644 --- a/lib/elliptic/curve/edwards.js +++ b/lib/elliptic/curve/edwards.js @@ -221,9 +221,12 @@ Point.prototype._projDbl = function _projDbl() { var nx; var ny; var nz; + var e; + var h; + var j; if (this.curve.twisted) { // E = a * C - var e = this.curve._mulA(c); + e = this.curve._mulA(c); // F = E + D var f = e.redAdd(d); if (this.zOne) { @@ -235,9 +238,9 @@ Point.prototype._projDbl = function _projDbl() { nz = f.redSqr().redSub(f).redSub(f); } else { // H = Z1^2 - var h = this.z.redSqr(); + h = this.z.redSqr(); // J = F - 2 * H - var j = f.redSub(h).redISub(h); + j = f.redSub(h).redISub(h); // X3 = (B-C-D)*J nx = b.redSub(c).redISub(d).redMul(j); // Y3 = F * (E - D) @@ -247,11 +250,11 @@ Point.prototype._projDbl = function _projDbl() { } } else { // E = C + D - var e = c.redAdd(d); + e = c.redAdd(d); // H = (c * Z1)^2 - var h = this.curve._mulC(this.z).redSqr(); + h = this.curve._mulC(this.z).redSqr(); // J = E - 2 * H - var j = e.redSub(h).redSub(h); + 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) @@ -388,9 +391,9 @@ Point.prototype.normalize = function normalize() { Point.prototype.neg = function neg() { return this.curve.point(this.x.redNeg(), - this.y, - this.z, - this.t && this.t.redNeg()); + this.y, + this.z, + this.t && this.t.redNeg()); }; Point.prototype.getX = function getX() { diff --git a/lib/elliptic/curve/short.js b/lib/elliptic/curve/short.js index b263ecf6..eec36ec5 100644 --- a/lib/elliptic/curve/short.js +++ b/lib/elliptic/curve/short.js @@ -60,7 +60,7 @@ ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) { basis = conf.basis.map(function(vec) { return { a: new BN(vec.a, 16), - b: new BN(vec.b, 16) + b: new BN(vec.b, 16), }; }); } else { @@ -70,7 +70,7 @@ ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) { return { beta: beta, lambda: lambda, - basis: basis + basis: basis, }; }; @@ -161,7 +161,7 @@ ShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) { return [ { a: a1, b: b1 }, - { a: a2, b: b2 } + { a: a2, b: b2 }, ]; }; @@ -217,36 +217,36 @@ ShortCurve.prototype.validate = function validate(point) { 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); + 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; -}; + // 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'); @@ -298,12 +298,12 @@ Point.prototype._getBeta = function _getBeta() { beta: null, naf: pre.naf && { wnd: pre.naf.wnd, - points: pre.naf.points.map(endoMul) + points: pre.naf.points.map(endoMul), }, doubles: pre.doubles && { step: pre.doubles.step, - points: pre.doubles.points.map(endoMul) - } + points: pre.doubles.points.map(endoMul), + }, }; } return beta; @@ -316,12 +316,12 @@ Point.prototype.toJSON = function toJSON() { return [ this.x, this.y, this.precomputed && { doubles: this.precomputed.doubles && { step: this.precomputed.doubles.step, - points: this.precomputed.doubles.points.slice(1) + points: this.precomputed.doubles.points.slice(1), }, naf: this.precomputed.naf && { wnd: this.precomputed.naf.wnd, - points: this.precomputed.naf.points.slice(1) - } + points: this.precomputed.naf.points.slice(1), + }, } ]; }; @@ -341,12 +341,12 @@ Point.fromJSON = function fromJSON(curve, obj, red) { beta: null, doubles: pre.doubles && { step: pre.doubles.step, - points: [ res ].concat(pre.doubles.points.map(obj2point)) + points: [ res ].concat(pre.doubles.points.map(obj2point)), }, naf: pre.naf && { wnd: pre.naf.wnd, - points: [ res ].concat(pre.naf.points.map(obj2point)) - } + points: [ res ].concat(pre.naf.points.map(obj2point)), + }, }; return res; }; @@ -468,12 +468,12 @@ Point.prototype.neg = function neg(_precompute) { res.precomputed = { naf: pre.naf && { wnd: pre.naf.wnd, - points: pre.naf.points.map(negate) + points: pre.naf.points.map(negate), }, doubles: pre.doubles && { step: pre.doubles.step, - points: pre.doubles.points.map(negate) - } + points: pre.doubles.points.map(negate), + }, }; } return res; @@ -610,9 +610,10 @@ JPoint.prototype.dblp = function dblp(pow) { if (!pow) return this.dbl(); + var i; if (this.curve.zeroA || this.curve.threeA) { var r = this; - for (var i = 0; i < pow; i++) + for (i = 0; i < pow; i++) r = r.dbl(); return r; } @@ -629,7 +630,7 @@ JPoint.prototype.dblp = function dblp(pow) { // Reuse results var jyd = jy.redAdd(jy); - for (var i = 0; i < pow; i++) { + for (i = 0; i < pow; i++) { var jx2 = jx.redSqr(); var jyd2 = jyd.redSqr(); var jyd4 = jyd2.redSqr(); diff --git a/lib/elliptic/curves.js b/lib/elliptic/curves.js index 63d86559..6c36e037 100644 --- a/lib/elliptic/curves.js +++ b/lib/elliptic/curves.js @@ -33,10 +33,10 @@ function defineCurve(name, options) { Object.defineProperty(curves, name, { configurable: true, enumerable: true, - value: curve + value: curve, }); return curve; - } + }, }); } @@ -51,8 +51,8 @@ defineCurve('p192', { gRed: false, g: [ '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012', - '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811' - ] + '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811', + ], }); defineCurve('p224', { @@ -66,8 +66,8 @@ defineCurve('p224', { gRed: false, g: [ 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21', - 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34' - ] + 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34', + ], }); defineCurve('p256', { @@ -81,8 +81,8 @@ defineCurve('p256', { gRed: false, g: [ '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296', - '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5' - ] + '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5', + ], }); defineCurve('p384', { @@ -102,8 +102,8 @@ defineCurve('p384', { 'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' + '5502f25d bf55296c 3a545e38 72760ab7', '3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' + - '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f' - ] + '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f', + ], }); defineCurve('p521', { @@ -129,8 +129,8 @@ defineCurve('p521', { 'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66', '00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' + '579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' + - '3fad0761 353c7086 a272c240 88be9476 9fd16650' - ] + '3fad0761 353c7086 a272c240 88be9476 9fd16650', + ], }); defineCurve('curve25519', { @@ -143,8 +143,8 @@ defineCurve('curve25519', { hash: hash.sha256, gRed: false, g: [ - '9' - ] + '9', + ], }); defineCurve('ed25519', { @@ -162,8 +162,8 @@ defineCurve('ed25519', { '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a', // 4/5 - '6666666666666666666666666666666666666666666666666666666666666658' - ] + '6666666666666666666666666666666666666666666666666666666666666658', + ], }); var pre; @@ -189,18 +189,18 @@ defineCurve('secp256k1', { basis: [ { a: '3086d221a7d46bcde86c90e49284eb15', - b: '-e4437ed6010e88286f547fa90abfe4c3' + b: '-e4437ed6010e88286f547fa90abfe4c3', }, { a: '114ca50f7a8e2f3f657c1108d9d44cfd8', - b: '3086d221a7d46bcde86c90e49284eb15' - } + b: '3086d221a7d46bcde86c90e49284eb15', + }, ], gRed: false, g: [ '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', - pre - ] + pre, + ], }); diff --git a/lib/elliptic/ec/index.js b/lib/elliptic/ec/index.js index 0f1d8ce5..8b58781f 100644 --- a/lib/elliptic/ec/index.js +++ b/lib/elliptic/ec/index.js @@ -16,7 +16,8 @@ function EC(options) { // Shortcut `elliptic.ec(curve-name)` if (typeof options === 'string') { - assert(curves.hasOwnProperty(options), 'Unknown curve ' + options); + assert(Object.prototype.hasOwnProperty.call(curves, options), + 'Unknown curve ' + options); options = curves[options]; } @@ -62,22 +63,22 @@ EC.prototype.genKeyPair = function genKeyPair(options) { persEnc: options.persEnc || 'utf8', entropy: options.entropy || rand(this.hash.hmacStrength), entropyEnc: options.entropy && options.entropyEnc || 'utf8', - nonce: this.n.toArray() + nonce: this.n.toArray(), }); var bytes = this.n.byteLength(); var ns2 = this.n.sub(new BN(2)); - do { + for (;;) { 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) { +EC.prototype._truncateToN = function _truncateToN(msg, truncOnly) { var delta = msg.byteLength() * 8 - this.n.bitLength(); if (delta > 0) msg = msg.ushrn(delta); @@ -111,16 +112,16 @@ EC.prototype.sign = function sign(msg, key, enc, options) { entropy: bkey, nonce: nonce, pers: options.pers, - persEnc: options.persEnc || 'utf8' + persEnc: options.persEnc || 'utf8', }); // Number of bytes to generate var ns1 = this.n.sub(new BN(1)); - for (var iter = 0; true; iter++) { + for (var iter = 0; ; iter++) { var k = options.k ? - options.k(iter) : - new BN(drbg.generate(this.n.byteLength())); + 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; @@ -169,9 +170,10 @@ EC.prototype.verify = function verify(msg, signature, key, enc) { var sinv = s.invm(this.n); var u1 = sinv.mul(msg).umod(this.n); var u2 = sinv.mul(r).umod(this.n); + var p; if (!this.curve._maxwellTrick) { - var p = this.g.mulAdd(u1, key.getPublic(), u2); + p = this.g.mulAdd(u1, key.getPublic(), u2); if (p.isInfinity()) return false; @@ -181,7 +183,7 @@ EC.prototype.verify = function verify(msg, signature, key, enc) { // NOTE: Greg Maxwell's trick, inspired by: // https://git.io/vad3K - var p = this.g.jmulAdd(u1, key.getPublic(), u2); + p = this.g.jmulAdd(u1, key.getPublic(), u2); if (p.isInfinity()) return false; diff --git a/lib/elliptic/ec/key.js b/lib/elliptic/ec/key.js index 4a56d69e..8aa7451c 100644 --- a/lib/elliptic/ec/key.js +++ b/lib/elliptic/ec/key.js @@ -23,7 +23,7 @@ KeyPair.fromPublic = function fromPublic(ec, pub, enc) { return new KeyPair(ec, { pub: pub, - pubEnc: enc + pubEnc: enc, }); }; @@ -33,7 +33,7 @@ KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) { return new KeyPair(ec, { priv: priv, - privEnc: enc + privEnc: enc, }); }; diff --git a/lib/elliptic/eddsa/index.js b/lib/elliptic/eddsa/index.js index f82fa35e..d777983a 100644 --- a/lib/elliptic/eddsa/index.js +++ b/lib/elliptic/eddsa/index.js @@ -14,7 +14,7 @@ function EDDSA(curve) { if (!(this instanceof EDDSA)) return new EDDSA(curve); - var curve = curves[curve].curve; + curve = curves[curve].curve; this.curve = curve; this.g = curve.g; this.g.precompute(curve.n.bitLength() + 1); @@ -38,7 +38,7 @@ EDDSA.prototype.sign = function sign(message, secret) { var R = this.g.mul(r); var Rencoded = this.encodePoint(R); var s_ = this.hashInt(Rencoded, key.pubBytes(), message) - .mul(key.priv()); + .mul(key.priv()); var S = r.add(s_).umod(this.curve.n); return this.makeSignature({ R: R, S: S, Rencoded: Rencoded }); }; diff --git a/lib/elliptic/eddsa/signature.js b/lib/elliptic/eddsa/signature.js index 17b96d70..30ebc920 100644 --- a/lib/elliptic/eddsa/signature.js +++ b/lib/elliptic/eddsa/signature.js @@ -23,7 +23,7 @@ function Signature(eddsa, sig) { if (Array.isArray(sig)) { sig = { R: sig.slice(0, eddsa.encodingLength), - S: sig.slice(eddsa.encodingLength) + S: sig.slice(eddsa.encodingLength), }; } diff --git a/lib/elliptic/precomputed/secp256k1.js b/lib/elliptic/precomputed/secp256k1.js index e4c91e54..01a7c4d2 100644 --- a/lib/elliptic/precomputed/secp256k1.js +++ b/lib/elliptic/precomputed/secp256k1.js @@ -4,777 +4,777 @@ module.exports = { points: [ [ 'e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a', - 'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821' + 'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821', ], [ '8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508', - '11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf' + '11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf', ], [ '175e159f728b865a72f99cc6c6fc846de0b93833fd2222ed73fce5b551e5b739', - 'd3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695' + 'd3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695', ], [ '363d90d447b00c9c99ceac05b6262ee053441c7e55552ffe526bad8f83ff4640', - '4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9' + '4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9', ], [ '8b4b5f165df3c2be8c6244b5b745638843e4a781a15bcd1b69f79a55dffdf80c', - '4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36' + '4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36', ], [ '723cbaa6e5db996d6bf771c00bd548c7b700dbffa6c0e77bcb6115925232fcda', - '96e867b5595cc498a921137488824d6e2660a0653779494801dc069d9eb39f5f' + '96e867b5595cc498a921137488824d6e2660a0653779494801dc069d9eb39f5f', ], [ 'eebfa4d493bebf98ba5feec812c2d3b50947961237a919839a533eca0e7dd7fa', - '5d9a8ca3970ef0f269ee7edaf178089d9ae4cdc3a711f712ddfd4fdae1de8999' + '5d9a8ca3970ef0f269ee7edaf178089d9ae4cdc3a711f712ddfd4fdae1de8999', ], [ '100f44da696e71672791d0a09b7bde459f1215a29b3c03bfefd7835b39a48db0', - 'cdd9e13192a00b772ec8f3300c090666b7ff4a18ff5195ac0fbd5cd62bc65a09' + 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3; var m24 = (k2.andln(3) + d2) & 3; @@ -64,7 +64,7 @@ function getJSF(k1, k2) { if ((m14 & 1) === 0) { u1 = 0; } else { - var m8 = (k1.andln(7) + d1) & 7; + m8 = (k1.andln(7) + d1) & 7; if ((m8 === 3 || m8 === 5) && m24 === 2) u1 = -m14; else @@ -76,7 +76,7 @@ function getJSF(k1, k2) { if ((m24 & 1) === 0) { u2 = 0; } else { - var m8 = (k2.andln(7) + d2) & 7; + m8 = (k2.andln(7) + d2) & 7; if ((m8 === 3 || m8 === 5) && m14 === 2) u2 = -m24; else @@ -101,14 +101,14 @@ function cachedProperty(obj, name, computer) { var key = '_' + name; obj.prototype[name] = function cachedProperty() { return this[key] !== undefined ? this[key] : - this[key] = computer.call(this); + this[key] = computer.call(this); }; } utils.cachedProperty = cachedProperty; function parseBytes(bytes) { return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') : - bytes; + bytes; } utils.parseBytes = parseBytes; diff --git a/package-lock.json b/package-lock.json index c8318514..8cee692d 100644 --- a/package-lock.json +++ b/package-lock.json @@ -4,6 +4,38 @@ "lockfileVersion": 1, "requires": true, "dependencies": { + "@babel/code-frame": { + "version": "7.10.4", + "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.10.4.tgz", + "integrity": "sha512-vG6SvB6oYEhvgisZNFRmRCUkLz11c7rp+tbNTynGqc6mS1d5ATd/sGyV6W0KZZnXRKMTzZDRgQT3Ou9jhpAfUg==", + "dev": true, + "requires": { + "@babel/highlight": "^7.10.4" + } + }, + "@babel/helper-validator-identifier": { + "version": "7.10.4", + "resolved": "https://registry.npmjs.org/@babel/helper-validator-identifier/-/helper-validator-identifier-7.10.4.tgz", + "integrity": "sha512-3U9y+43hz7ZM+rzG24Qe2mufW5KhvFg/NhnNph+i9mgCtdTCtMJuI1TMkrIUiK7Ix4PYlRF9I5dhqaLYA/ADXw==", + "dev": true + }, + "@babel/highlight": { + "version": "7.10.4", + "resolved": "https://registry.npmjs.org/@babel/highlight/-/highlight-7.10.4.tgz", + "integrity": 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"https://registry.npmjs.org/yargs/-/yargs-13.3.0.tgz", - "integrity": "sha512-2eehun/8ALW8TLoIl7MVaRUrg+yCnenu8B4kBlRxj3GJGDKU1Og7sMXPNm1BYyM1DOJmTZ4YeN/Nwxv+8XJsUA==", + "version": "14.2.3", + "resolved": "https://registry.npmjs.org/yargs/-/yargs-14.2.3.tgz", + "integrity": "sha512-ZbotRWhF+lkjijC/VhmOT9wSgyBQ7+zr13+YLkhfsSiTriYsMzkTUFP18pFhWwBeMa5gUc1MzbhrO6/VB7c9Xg==", "dev": true, "requires": { "cliui": "^5.0.0", + "decamelize": "^1.2.0", "find-up": "^3.0.0", "get-caller-file": "^2.0.1", "require-directory": "^2.1.1", @@ -7129,7 +6365,17 @@ "string-width": "^3.0.0", "which-module": "^2.0.0", "y18n": "^4.0.0", - "yargs-parser": "^13.1.1" + "yargs-parser": "^15.0.1" + } + }, + "yargs-parser": { + "version": "15.0.1", + "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-15.0.1.tgz", + "integrity": "sha512-0OAMV2mAZQrs3FkNpDQcBk1x5HXb8X4twADss4S0Iuk+2dGnLOE/fRHrsYm542GduMveyA77OF4wrNJuanRCWw==", + "dev": true, + "requires": { + "camelcase": "^5.0.0", + "decamelize": "^1.2.0" } } } diff --git a/package.json b/package.json index 960c456d..85b78554 100644 --- a/package.json +++ b/package.json @@ -7,9 +7,8 @@ "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", + "lint": "eslint lib test", + "lint:fix": "npm run lint -- --fix", "unit": "istanbul test _mocha --reporter=spec test/index.js", "test": "npm run lint && npm run unit", "version": "grunt dist && git add dist/" @@ -31,28 +30,27 @@ }, "homepage": "https://github.com/indutny/elliptic", "devDependencies": { - "brfs": "^1.4.3", - "coveralls": "^3.0.8", - "grunt": "^1.0.4", - "grunt-browserify": "^5.0.0", - "grunt-cli": "^1.2.0", - "grunt-contrib-connect": "^1.0.0", + "brfs": "^2.0.2", + "coveralls": "^3.1.0", + "eslint": "^7.6.0", + "grunt": "^1.2.1", + "grunt-browserify": "^5.3.0", + "grunt-cli": "^1.3.2", + "grunt-contrib-connect": "^3.0.0", "grunt-contrib-copy": "^1.0.0", - "grunt-contrib-uglify": "^1.0.1", - "grunt-mocha-istanbul": "^3.0.1", + "grunt-contrib-uglify": "^5.0.0", + "grunt-mocha-istanbul": "^5.0.2", "grunt-saucelabs": "^9.0.1", - "istanbul": "^0.4.2", - "jscs": "^3.0.7", - "jshint": "^2.10.3", - "mocha": "^6.2.2" + "istanbul": "^0.4.5", + "mocha": "^8.0.1" }, "dependencies": { - "bn.js": "^4.4.0", - "brorand": "^1.0.1", + "bn.js": "^4.11.9", + "brorand": "^1.1.0", "hash.js": "^1.0.0", - "hmac-drbg": "^1.0.0", - "inherits": "^2.0.1", - "minimalistic-assert": "^1.0.0", - "minimalistic-crypto-utils": "^1.0.0" + "hmac-drbg": "^1.0.1", + "inherits": "^2.0.4", + "minimalistic-assert": "^1.0.1", + "minimalistic-crypto-utils": "^1.0.1" } } diff --git a/test/api-test.js b/test/api-test.js index 68bd19ff..4df21092 100644 --- a/test/api-test.js +++ b/test/api-test.js @@ -1,3 +1,6 @@ +/* eslint-env node, mocha */ +'use strict'; + var assert = require('assert'); var elliptic = require('../'); @@ -11,7 +14,7 @@ describe('EC API', function() { it('should throw error with invalid curve', function() { assert.throws(function() { - var ec = new elliptic.ec('nonexistent-curve'); + new elliptic.ec('nonexistent-curve'); }, Error); }); }); diff --git a/test/curve-test.js b/test/curve-test.js index fcfa84e3..bd62f120 100644 --- a/test/curve-test.js +++ b/test/curve-test.js @@ -1,3 +1,4 @@ +/* eslint-env node, mocha */ 'use strict'; var assert = require('assert'); @@ -9,7 +10,7 @@ describe('Curve', function() { var curve = new elliptic.curve.short({ p: '1d', a: '4', - b: '14' + b: '14', }); var p = curve.point('18', '16'); @@ -35,22 +36,22 @@ describe('Curve', function() { g: [ new BN('0396f77094ccc0eb985310e8bc7d519311846453b8ba232935640b2b0' + '340f868ae208d6ee95bf0e59103b2ead08d6f19', 16, 'le'), - new BN('11', 16, 'le') - ] + new BN('11', 16, 'le'), + ], }); var point = [ '21fd21b36cbdbe0d77ad8692c25d918774f5d3bc179c4cb0ae3c364bf1bea981d0' + '2e9f97cc62f20acacf0c553887e5fb', '29f994329799dba72aa12ceb06312300167b6e18fbed607c63709826c57292cf29' + - 'f5bab4f5c99c739cf107a3833bb553' + 'f5bab4f5c99c739cf107a3833bb553', ]; var double = [ '0561c8722cf82b2f0d7c36bc72e34539dcbf181e8d98f5244480e79f5b51a4a541' + '457016c9c0509d49078eb5909a1121', '05b7812fae9d164ee9249c56a16e29a1ad2cdc6353227074dd96d59df363a0bcb5' + - 'bc67d50b44843ea833156bdc0ac6a2' + 'bc67d50b44843ea833156bdc0ac6a2', ]; var p = curve.pointFromJSON(point); @@ -60,31 +61,31 @@ describe('Curve', function() { it('should be able to find a point given y coordinate for all edwards curves', function() { - var curve = new elliptic.curve.edwards({ - p: new BN('f7' + + var curve = new elliptic.curve.edwards({ + p: new BN('f7' + 'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff07', 16, 'le'), - q: new BN('71' + + q: new BN('71' + 'c966d15fd444893407d3dfc46579f7ffffffffffffffffffffffffffffff01', 16, 'le'), - r: '4', - a: '1', - // -1174 mod p - d: new BN('61' + + r: '4', + a: '1', + // -1174 mod p + d: new BN('61' + 'fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffff07', 16, 'le'), - c: '1' - }); + c: '1', + }); - var target = curve.point( - '05d040ddaa645bf27d2d2f302c5697231425185fd9a410f220ac5c5c7fbeb8a1', - '02f8ca771306cd23e929775177f2c213843a017a6487b2ec5f9b2a3808108ef2' - ); + var target = curve.point( + '05d040ddaa645bf27d2d2f302c5697231425185fd9a410f220ac5c5c7fbeb8a1', + '02f8ca771306cd23e929775177f2c213843a017a6487b2ec5f9b2a3808108ef2', + ); - var point = curve.pointFromY('02' + + var point = curve.pointFromY('02' + 'f8ca771306cd23e929775177f2c213843a017a6487b2ec5f9b2a3808108ef2'); - assert(point.eq(target)); - }); + assert(point.eq(target)); + }); it('should find an odd point given a y coordinate', function() { var curve = new elliptic.curve.edwards({ @@ -99,11 +100,11 @@ describe('Curve', function() { '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a', // 4/5 - '6666666666666666666666666666666666666666666666666666666666666658' - ] + '6666666666666666666666666666666666666666666666666666666666666658', + ], }); - var bytes = new Uint8Array([5, 69, 248, 173, 171, 254, 19, 253, 143, 140, 146, 174, 26, 128, 3, 52, 106, 55, 112, 245, 62, 127, 42, 93, 0, 81, 47, 177, 30, 25, 39, 70]); + var bytes = new Uint8Array([ 5, 69, 248, 173, 171, 254, 19, 253, 143, 140, 146, 174, 26, 128, 3, 52, 106, 55, 112, 245, 62, 127, 42, 93, 0, 81, 47, 177, 30, 25, 39, 70 ]); var y = new BN(bytes, 16, 'le'); var point = curve.pointFromY(y, true); var target = '2cd591ae3789fd62dc420a152002f79973a387eacecadc6a9a00c1a89488c15d'; @@ -114,7 +115,7 @@ describe('Curve', function() { var curve = new elliptic.curve.short({ p: 'db7c 2abf62e3 5e668076 bead208b', a: 'db7c 2abf62e3 5e668076 bead2088', - b: '659e f8ba0439 16eede89 11702b22' + b: '659e f8ba0439 16eede89 11702b22', }); var p = curve.point( @@ -134,13 +135,13 @@ describe('Curve', function() { 'baaedce6 af48a03b bfd25e8c d0364141', g: [ '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', - '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8' - ] + '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', + ], }); var p = curve.point( '79be667e f9dcbbac 55a06295 ce870b07 029bfcdb 2dce28d9 59f2815b 16f81798', - '483ada77 26a3c465 5da4fbfc 0e1108a8 fd17b448 a6855419 9c47d08f fb10d4b8' + '483ada77 26a3c465 5da4fbfc 0e1108a8 fd17b448 a6855419 9c47d08f fb10d4b8', ); assert(p.validate()); assert(p.dbl().validate()); @@ -173,7 +174,7 @@ describe('Curve', function() { var g2 = curve.point(g1.getX(), g1.getY()); // not precomputed g assert(!g2.precomputed); var a = new BN( - '6d1229a6b24c2e775c062870ad26bc261051e0198c67203167273c7c62538846', 16); + '6d1229a6b24c2e775c062870ad26bc261051e0198c67203167273c7c62538846', 16); var p1 = g1.mul(a); var p2 = g2.mul(a); assert(p1.eq(p2)); @@ -187,9 +188,9 @@ describe('Curve', function() { assert(!g2.precomputed); var a = new BN( - '6d1229a6b24c2e775c062870ad26bc26' + + '6d1229a6b24c2e775c062870ad26bc26' + '1051e0198c67203167273c7c6253884612345678', - 16); + 16); var p1 = g1.mul(a); var p2 = g2.mul(a); assert(p1.eq(p2)); @@ -198,9 +199,9 @@ describe('Curve', function() { it('should not fail on secp256k1 regression', function() { var curve = elliptic.curves.secp256k1.curve; var k1 = new BN( - '32efeba414cd0c830aed727749e816a01c471831536fd2fce28c56b54f5a3bb1', 16); + '32efeba414cd0c830aed727749e816a01c471831536fd2fce28c56b54f5a3bb1', 16); var k2 = new BN( - '5f2e49b5d64e53f9811545434706cde4de528af97bfd49fde1f6cf792ee37a8c', 16); + '5f2e49b5d64e53f9811545434706cde4de528af97bfd49fde1f6cf792ee37a8c', 16); var p1 = curve.g.mul(k1); var p2 = curve.g.mul(k2); @@ -225,13 +226,13 @@ describe('Curve', function() { var bad = { x: '026a2073b1ef6fab47ace18e60e728a05180a82755bbcec9a0abc08ad9f7a3d4', y: '9cd8cb48c3281596139f147c1364a3ede88d3f310fdb0eb98c924e599ca1b3c9', - z: 'd78587ad45e4102f48b54b5d85598296e069ce6085002e169c6bad78ddc6d9bd' + z: 'd78587ad45e4102f48b54b5d85598296e069ce6085002e169c6bad78ddc6d9bd', }; var good = { x: 'e7789226739ac2eb3c7ccb2a9a910066beeed86cdb4e0f8a7fee8eeb29dc7016', y: '4b76b191fd6d47d07828ea965e275b76d0e3e0196cd5056d38384fbb819f9fcb', - z: 'cbf8d99056618ba132d6145b904eee1ce566e0feedb9595139c45f84e90cfa7d' + z: 'cbf8d99056618ba132d6145b904eee1ce566e0feedb9595139c45f84e90cfa7d', }; var curve = elliptic.curves.secp256k1.curve; @@ -297,7 +298,7 @@ describe('Point codec', function () { var shortPointEvenY = { coordinates: { x: '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', - y: '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8' + y: '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', }, compactEncoded: '02' + @@ -309,13 +310,13 @@ describe('Point codec', function () { hybrid: '06' + '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798' + - '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8' + '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', }; var shortPointOddY = { coordinates: { x: 'fff97bd5755eeea420453a14355235d382f6472f8568a18b2f057a1460297556', - y: 'ae12777aacfbb620f3be96017f45c560de80f0f6518fe4a03c870c36b075f297' + y: 'ae12777aacfbb620f3be96017f45c560de80f0f6518fe4a03c870c36b075f297', }, compactEncoded: '03' + @@ -327,7 +328,7 @@ describe('Point codec', function () { hybrid: '07' + 'fff97bd5755eeea420453a14355235d382f6472f8568a18b2f057a1460297556' + - 'ae12777aacfbb620f3be96017f45c560de80f0f6518fe4a03c870c36b075f297' + 'ae12777aacfbb620f3be96017f45c560de80f0f6518fe4a03c870c36b075f297', }; it('should throw when trying to decode random bytes', function() { @@ -339,18 +340,18 @@ describe('Point codec', function () { }); it('should be able to encode/decode a short curve point with even Y', - makeShortTest(shortPointEvenY)); + makeShortTest(shortPointEvenY)); it('should be able to encode/decode a short curve point with odd Y', - makeShortTest(shortPointOddY)); + makeShortTest(shortPointOddY)); it('should be able to encode/decode a mont curve point', makeMontTest({ coordinates: { // curve25519.curve.g.mul(new BN('6')).getX().toString(16, 2) x: '26954ccdc99ebf34f8f1dde5e6bb080685fec73640494c28f9fe0bfa8c794531', - z: '1' + z: '1', }, encoded: - '26954ccdc99ebf34f8f1dde5e6bb080685fec73640494c28f9fe0bfa8c794531' + '26954ccdc99ebf34f8f1dde5e6bb080685fec73640494c28f9fe0bfa8c794531', })); }); diff --git a/test/ecdh-test.js b/test/ecdh-test.js index 9f8f6f0d..aa28b755 100644 --- a/test/ecdh-test.js +++ b/test/ecdh-test.js @@ -1,6 +1,8 @@ +/* eslint-env node, mocha */ +'use strict'; + var assert = require('assert'); var elliptic = require('../'); -var hash = require('hash.js'); describe('ECDH', function() { function test(name) { @@ -13,10 +15,10 @@ describe('ECDH', function() { assert.equal(sh1.toString(16), sh2.toString(16)); - var sh1 = s1.derive(ecdh.keyFromPublic(s2.getPublic('hex'), 'hex') - .getPublic()); - var sh2 = s2.derive(ecdh.keyFromPublic(s1.getPublic('hex'), 'hex') - .getPublic()); + sh1 = s1.derive(ecdh.keyFromPublic(s2.getPublic('hex'), 'hex') + .getPublic()); + sh2 = s2.derive(ecdh.keyFromPublic(s1.getPublic('hex'), 'hex') + .getPublic()); assert.equal(sh1.toString(16), sh2.toString(16)); }); } diff --git a/test/ecdsa-test.js b/test/ecdsa-test.js index 831ac199..fc732895 100644 --- a/test/ecdsa-test.js +++ b/test/ecdsa-test.js @@ -1,12 +1,15 @@ +/* eslint-env node, mocha */ +'use strict'; + var assert = require('assert'); var elliptic = require('../'); -var Signature = require('../lib/elliptic/ec/signature') +var Signature = require('../lib/elliptic/ec/signature'); var BN = require('bn.js'); var hash = require('hash.js'); var entropy = [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, - 21, 22, 23, 24, 25 + 21, 22, 23, 24, 25, ]; var msg = 'deadbeef'; @@ -16,6 +19,7 @@ describe('ECDSA', function() { describe('curve ' + name, function() { var curve; var ecdsa; + var keys; beforeEach(function() { curve = elliptic.curves[name]; @@ -23,7 +27,7 @@ describe('ECDSA', function() { ecdsa = new elliptic.ec(curve); keys = ecdsa.genKeyPair({ - entropy: entropy + entropy: entropy, }); }); @@ -32,7 +36,7 @@ describe('ECDSA', function() { if (name === 'p384') { keylen = 96; } else if (name === 'p521') { - keylen = 132 + keylen = 132; } // Get keys out of pair assert(keys.getPublic().x && keys.getPublic().y); @@ -70,7 +74,7 @@ describe('ECDSA', function() { k: function(iter) { assert(iter >= 0); return new BN(1358); - } + }, }); assert(ecdsa.verify(msg, sign, keys), 'custom-k verify'); }); @@ -79,7 +83,7 @@ describe('ECDSA', function() { var sign1 = keys.sign(msg); var sign2 = keys.sign(msg, { pers: '1234', persEnc: 'hex' }); assert.notEqual(sign1.r.toArray().concat(sign1.s.toArray()), - sign2.r.toArray().concat(sign2.s.toArray())); + sign2.r.toArray().concat(sign2.s.toArray())); }); it('should load public key from compact hex value', function() { @@ -133,7 +137,7 @@ describe('ECDSA', function() { opt.cases.forEach(function(c) { var ecdsa = elliptic.ec({ curve: opt.curve, - hash: c.hash + hash: c.hash, }); var descr = 'should not fail on "' + opt.name + '" ' + 'and hash ' + c.hash.name + ' on "' + c.message + '"'; @@ -143,9 +147,9 @@ describe('ECDSA', function() { assert.equal(sign.r.toString(16), c.r); assert.equal(sign.s.toString(16), c.s); assert.ok(ecdsa.keyFromPublic(opt.pub).validate().result, - 'Invalid public key'); + 'Invalid public key'); assert.ok(ecdsa.verify(dgst, sign, opt.pub), - 'Invalid signature'); + 'Invalid signature'); }); }); } @@ -156,34 +160,34 @@ describe('ECDSA', function() { key: '6fab034934e4c0fc9ae67f5b5659a9d7d1fefd187ee09fd4', pub: { x: 'ac2c77f529f91689fea0ea5efec7f210d8eea0b9e047ed56', - y: '3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43' + y: '3bc723e57670bd4887ebc732c523063d0a7c957bc97c1c43', }, cases: [ { message: 'sample', hash: hash.sha224, r: 'a1f00dad97aeec91c95585f36200c65f3c01812aa60378f5', - s: 'e07ec1304c7c6c9debbe980b9692668f81d4de7922a0f97a' + s: 'e07ec1304c7c6c9debbe980b9692668f81d4de7922a0f97a', }, { message: 'sample', hash: hash.sha256, r: '4b0b8ce98a92866a2820e20aa6b75b56382e0f9bfd5ecb55', - s: 'ccdb006926ea9565cbadc840829d8c384e06de1f1e381b85' + s: 'ccdb006926ea9565cbadc840829d8c384e06de1f1e381b85', }, { message: 'test', hash: hash.sha224, r: '6945a1c1d1b2206b8145548f633bb61cef04891baf26ed34', - s: 'b7fb7fdfc339c0b9bd61a9f5a8eaf9be58fc5cba2cb15293' + s: 'b7fb7fdfc339c0b9bd61a9f5a8eaf9be58fc5cba2cb15293', }, { message: 'test', hash: hash.sha256, r: '3a718bd8b4926c3b52ee6bbe67ef79b18cb6eb62b1ad97ae', - s: '5662e6848a4a19b1f1ae2f72acd4b8bbe50f1eac65d9124f' - } - ] + s: '5662e6848a4a19b1f1ae2f72acd4b8bbe50f1eac65d9124f', + }, + ], }); test({ @@ -192,34 +196,34 @@ describe('ECDSA', function() { key: 'f220266e1105bfe3083e03ec7a3a654651f45e37167e88600bf257c1', pub: { x: '00cf08da5ad719e42707fa431292dea11244d64fc51610d94b130d6c', - y: 'eeab6f3debe455e3dbf85416f7030cbd94f34f2d6f232c69f3c1385a' + y: 'eeab6f3debe455e3dbf85416f7030cbd94f34f2d6f232c69f3c1385a', }, cases: [ { message: 'sample', hash: hash.sha224, r: '1cdfe6662dde1e4a1ec4cdedf6a1f5a2fb7fbd9145c12113e6abfd3e', - s: 'a6694fd7718a21053f225d3f46197ca699d45006c06f871808f43ebc' + s: 'a6694fd7718a21053f225d3f46197ca699d45006c06f871808f43ebc', }, { message: 'sample', hash: hash.sha256, r: '61aa3da010e8e8406c656bc477a7a7189895e7e840cdfe8ff42307ba', - s: 'bc814050dab5d23770879494f9e0a680dc1af7161991bde692b10101' + s: 'bc814050dab5d23770879494f9e0a680dc1af7161991bde692b10101', }, { message: 'test', hash: hash.sha224, r: 'c441ce8e261ded634e4cf84910e4c5d1d22c5cf3b732bb204dbef019', - s: '902f42847a63bdc5f6046ada114953120f99442d76510150f372a3f4' + s: '902f42847a63bdc5f6046ada114953120f99442d76510150f372a3f4', }, { message: 'test', hash: hash.sha256, r: 'ad04dde87b84747a243a631ea47a1ba6d1faa059149ad2440de6fba6', - s: '178d49b1ae90e3d8b629be3db5683915f4e8c99fdf6e666cf37adcfd' - } - ] + s: '178d49b1ae90e3d8b629be3db5683915f4e8c99fdf6e666cf37adcfd', + }, + ], }); test({ @@ -228,34 +232,34 @@ describe('ECDSA', function() { key: 'c9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721', pub: { x: '60fed4ba255a9d31c961eb74c6356d68c049b8923b61fa6ce669622e60f29fb6', - y: '7903fe1008b8bc99a41ae9e95628bc64f2f1b20c2d7e9f5177a3c294d4462299' + y: '7903fe1008b8bc99a41ae9e95628bc64f2f1b20c2d7e9f5177a3c294d4462299', }, cases: [ { message: 'sample', hash: hash.sha224, r: '53b2fff5d1752b2c689df257c04c40a587fababb3f6fc2702f1343af7ca9aa3f', - s: 'b9afb64fdc03dc1a131c7d2386d11e349f070aa432a4acc918bea988bf75c74c' + s: 'b9afb64fdc03dc1a131c7d2386d11e349f070aa432a4acc918bea988bf75c74c', }, { message: 'sample', hash: hash.sha256, r: 'efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716', - s: 'f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8' + s: 'f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8', }, { message: 'test', hash: hash.sha224, r: 'c37edb6f0ae79d47c3c27e962fa269bb4f441770357e114ee511f662ec34a692', - s: 'c820053a05791e521fcaad6042d40aea1d6b1a540138558f47d0719800e18f2d' + s: 'c820053a05791e521fcaad6042d40aea1d6b1a540138558f47d0719800e18f2d', }, { message: 'test', hash: hash.sha256, r: 'f1abb023518351cd71d881567b1ea663ed3efcf6c5132b354f28d3b0b7d38367', - s: '19f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083' - } - ] + s: '19f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083', + }, + ], }); test({ @@ -267,7 +271,7 @@ describe('ECDSA', function() { x: 'ec3a4e415b4e19a4568618029f427fa5da9a8bc4ae92e02e06aae5286b30' + '0c64def8f0ea9055866064a254515480bc13', y: '8015d9b72d7d57244ea8ef9ac0c621896708a59367f9dfb9f54ca84b3f' + - '1c9db1288b231c3ae0d4fe7344fd2533264720' + '1c9db1288b231c3ae0d4fe7344fd2533264720', }, cases: [ { @@ -276,7 +280,7 @@ describe('ECDSA', function() { r: '42356e76b55a6d9b4631c865445dbe54e056d3b3431766d05092447' + '93c3f9366450f76ee3de43f5a125333a6be060122', s: '9da0c81787064021e78df658f2fbb0b042bf304665db721f077a429' + - '8b095e4834c082c03d83028efbf93a3c23940ca8d' + '8b095e4834c082c03d83028efbf93a3c23940ca8d', }, { message: 'sample', @@ -284,7 +288,7 @@ describe('ECDSA', function() { r: '94edbb92a5ecb8aad4736e56c691916b3f88140666ce9fa73d6' + '4c4ea95ad133c81a648152e44acf96e36dd1e80fabe46', s: '99ef4aeb15f178cea1fe40db2603138f130e740a19624526203b' + - '6351d0a3a94fa329c145786e679e7b82c71a38628ac8' + '6351d0a3a94fa329c145786e679e7b82c71a38628ac8', }, { message: 'test', @@ -292,9 +296,9 @@ describe('ECDSA', function() { r: '8203b63d3c853e8d77227fb377bcf7b7b772e97892a80f36a' + 'b775d509d7a5feb0542a7f0812998da8f1dd3ca3cf023db', s: 'ddd0760448d42d8a43af45af836fce4de8be06b485e9b61b827c2f13' + - '173923e06a739f040649a667bf3b828246baa5a5' - } - ] + '173923e06a739f040649a667bf3b828246baa5a5', + }, + ], }); test({ @@ -308,7 +312,7 @@ describe('ECDSA', function() { '71123d46e45db6b5d5370a7f20fb633155d38ffa16d2bd761dcac474b9a2f502' + '3a4', y: '0493101c962cd4d2fddf782285e64584139c2f91b47f87ff82354d6630f746a2' + - '8a0db25741b5b34a828008b22acc23f924faafbd4d33f81ea66956dfeaa2bfdfcf5' + '8a0db25741b5b34a828008b22acc23f924faafbd4d33f81ea66956dfeaa2bfdfcf5', }, cases: [ { @@ -319,7 +323,7 @@ describe('ECDSA', function() { 'd50c67451', s: '1f21a3cee066e1961025fb048bd5fe2b7924d0cd797babe0a83b66f1e35ee' + 'af5fde143fa85dc394a7dee766523393784484bdf3e00114a1c857cde1aa2' + - '03db65d61' + '03db65d61', }, { message: 'sample', @@ -329,7 +333,7 @@ describe('ECDSA', function() { '77fa', s: '617cce7cf5064806c467f678d3b4080d6f1cc50af26ca209417308281b68af2' + '82623eaa63e5b5c0723d8b8c37ff0777b1a20f8ccb1dccc43997f1ee0e44da4' + - 'a67a' + 'a67a', }, { message: 'test', @@ -339,9 +343,9 @@ describe('ECDSA', function() { 'babd47ee6d', s: '1fbd0013c674aa79cb39849527916ce301c66ea7ce8b80682786ad60f98' + 'f7e78a19ca69eff5c57400e3b3a0ad66ce0978214d13baf4e9ac60752f7b15' + - '5e2de4dce3' - } - ] + '5e2de4dce3', + }, + ], }); }); @@ -362,7 +366,7 @@ describe('ECDSA', function() { 'd0c6b2d5217a5c16e8371062737aa1dae1', message: msg, sig: '3006020106020104', - result: true + result: true, }, { curve: p256, @@ -371,7 +375,7 @@ describe('ECDSA', function() { '4cfbc761c12edae974a0759750c8324f9a', message: msg, sig: '3006020106020104', - result: true + result: true, }, { curve: p256, @@ -380,7 +384,7 @@ describe('ECDSA', function() { 'ddc39e8367147abab3084142ed3ea170e4', message: msg, sig: '301502104319055358e8617b0c46353d039cdaae020104', - result: true + result: true, }, { curve: p256, @@ -389,7 +393,7 @@ describe('ECDSA', function() { '8a560fff30a3d14aa160be0c5e7edcd887', message: msg, sig: '301502104319055358e8617b0c46353d039cdaae020104', - result: false + result: false, }, { curve: p384, @@ -399,7 +403,7 @@ describe('ECDSA', function() { '463c6186864888f6c0b67b304441f82aab031279e48f047c31', message: msg, sig: '3006020103020104', - result: true + result: true, }, { curve: p384, @@ -409,7 +413,7 @@ describe('ECDSA', function() { '526a7dfe616091b78d293552bc093dfde9b31cae69d51d3afb', message: msg, sig: '3006020103020104', - result: true + result: true, }, { curve: p384, @@ -419,7 +423,7 @@ describe('ECDSA', function() { '417c83dbcad631421f360d84d64658c98a62d685b220f5aad4', message: msg, sig: '301d0218389cb27e0bc8d21fa7e5f24cb74f58851313e696333ad68e020104', - result: true + result: true, }, { curve: p384, @@ -429,8 +433,8 @@ describe('ECDSA', function() { '2ef2f20d679777b84192ce86e781c14b1bbb77eacd6e0520e2', message: msg, sig: '301d0218389cb27e0bc8d21fa7e5f24cb74f58851313e696333ad68e020104', - result: false - } + result: false, + }, ]; vectors.forEach(function(vector, i) { @@ -453,7 +457,7 @@ describe('ECDSA', function() { var ecdsa = new elliptic.ec(curve); var keys = ecdsa.genKeyPair({ pers: 'my.pers.string', - entropy: hash.sha256().update('hello world').digest() + entropy: hash.sha256().update('hello world').digest(), }); assert.equal( keys.getPrivate('hex'), @@ -471,19 +475,19 @@ describe('ECDSA', function() { }); it('should fail to recover key when no quadratic residue available', - function() { - var ec = new elliptic.ec('secp256k1'); + function() { + var ec = new elliptic.ec('secp256k1'); - var message = + var message = 'f75c6b18a72fabc0f0b888c3da58e004f0af1fe14f7ca5d8c897fe164925d5e9'; - assert.throws(function() { - ecdsa.recoverPubKey(message, { - r: 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140', - s: '8887321be575c8095f789dd4c743dfe42c1820f9231f98a962b210e3ac2452a3' - }, 0); + assert.throws(function() { + ec.recoverPubKey(message, { + r: 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140', + s: '8887321be575c8095f789dd4c743dfe42c1820f9231f98a962b210e3ac2452a3', + }, 0); + }); }); - }); describe('Signature', function () { it('recoveryParam is 0', function () { diff --git a/test/ed25519-test.js b/test/ed25519-test.js index c88ec7c5..a29f9463 100644 --- a/test/ed25519-test.js +++ b/test/ed25519-test.js @@ -1,3 +1,4 @@ +/* eslint-env node, mocha */ 'use strict'; var assert = require('assert'); @@ -30,7 +31,7 @@ describe('ed25519 derivations', function() { var key = ed25519.keyFromSecret(secret); assert.equal(toHex(key.privBytes()), test.a_hex); var xRecovered = toHex(ed25519.encodeInt( - ed25519.decodePoint(key.pubBytes()).getX())); + ed25519.decodePoint(key.pubBytes()).getX())); assert.equal(xRecovered, test.A_P.x); assert.equal(toHex(key.pubBytes()), test.A_hex); }); @@ -72,8 +73,8 @@ describe('sign.input ed25519 test vectors', function() { assert(key.verify(msg, sig)); var forged = msg.length === 0 ? [ 0x78 ] /*ord('x')*/: - msg.slice(0, msg.length - 1).concat( - (msg[(msg.length - 1)] + 1) % 256); + msg.slice(0, msg.length - 1).concat( + (msg[(msg.length - 1)] + 1) % 256); assert.equal(msg.length || 1, forged.length); assert(!key.verify(forged, sig)); diff --git a/test/fixtures/derivation-fixtures.js b/test/fixtures/derivation-fixtures.js index cd7b1f7e..ebb2ee7d 100644 --- a/test/fixtures/derivation-fixtures.js +++ b/test/fixtures/derivation-fixtures.js @@ -1,3842 +1,3842 @@ module.exports = [ { - "A_P": { - "x": "5849722E338ACED7B50C7F0E9328F9A10C847B08E40AF5C5B0577B0FD8984F15", - "y": "3B6A27BCCEB6A42D62A3A8D02A6F0D73653215771DE243A63AC048A18B59DA29" - }, - "secret_hex": "0000000000000000000000000000000000000000000000000000000000000000", - "A_hex": "3B6A27BCCEB6A42D62A3A8D02A6F0D73653215771DE243A63AC048A18B59DA29", - "a_hex": "5046ADC1DBA838867B2BBBFDD0C3423E58B57970B5267A90F57960924A87F156", - "A_P3": { - "t": "03587AE5434C23EF1A643A189A9265799FFFB322B96B71A0D11D56FAABD04A69", - "x": "EA1FE2976874FD7FB9EBC16DB22A8C4EBC44946125EA3D46EF7A8C37109A5D42", - "y": "1D1045228E54A114EAFDCFDEF3201FF015C83D7FBA26FFE642CA93121A567247", - "z": "83C4E8ACFF77ECB2C5378EADE1F8B3224F2E85D5CA5DE2DA4502E6FBF64A5114" - } - }, - { - "A_P": { - "x": "8AF33FB89AFDACD40AEA385787C8006E58FBFB9F7DFDC4AA5DE65785E9178268", - "y": "4CB5ABF6AD79FBF5ABBCCAFCC269D85CD2651ED4B885B5869F241AEDF0A5BA29" - }, - "secret_hex": "0000000000000000000000000000000000000000000000000000000000000001", - "A_hex": "4CB5ABF6AD79FBF5ABBCCAFCC269D85CD2651ED4B885B5869F241AEDF0A5BA29", - "a_hex": "F068E2F7CCC3EEE220065E1DC937D34D548EC59BE6488FEA5AE1397E63F81C52", - "A_P3": { - "t": "125DA68C1BADDEADB5E414282ED2DA161231CE13A2F0AA0913B39C8800DAC058", - "x": "268BE67BEC64CB055783E7A46CA8908E661A0A32871C2A68531166BCDD7C8057", - "y": "8265AD2C671F88567F5A355DDBCC5962C9937A073D7DD2A8367630C7A24C2976", - "z": "FF47A9C76ECB96ABBDB6C8EF08EDB73B0D10555E2AE6911B8F6B1D533FB2D541" - } - }, - { - "A_P": { - "x": "FA01A3E066DC3C57FCF8CA1CD510E8CC31614B4F401324F1153BB3EA549FAB24", - "y": "7422B9887598068E32C4448A949ADB290D0F4E35B9E01B0EE5F1A1E600FE2674" - }, - "secret_hex": "0000000000000000000000000000000000000000000000000000000000000002", - "A_hex": "7422B9887598068E32C4448A949ADB290D0F4E35B9E01B0EE5F1A1E600FE2674", - "a_hex": "88AFF351A303E9B6781E37BED44C29B73C09313D501811E62AC2B0B0129CBF7D", - "A_P3": { - "t": "4F43FAC613D6B9802DCF309B6B0D6CA34637DDD348ED9D94654FC63B1FEE661C", - "x": "DEF8AF1B8AA1542B446877877DF5EE35ED7B2D963E3040B07204EAF7B480AF07", - "y": "3D6605F462D3FE7CD090CD13ED421341E879845BF976F91DAFBD08AF8CF61F43", - "z": "69DD7ADE8F76977F3E6D440E9B989DC99C37FE046674D4FF69EA8C0C1758241F" - } - }, - { - "A_P": { - "x": "C2C444FBB329E649DF25F4994C15A33A13D6F3281B7AC966A32EB91784938A55", - "y": "F381626E41E7027EA431BFE3009E94BDD25A746BEEC468948D6C3C7C5DC9A54B" - }, - "secret_hex": "0000000000000000000000000000000000000000000000000000000000000003", - "A_hex": "F381626E41E7027EA431BFE3009E94BDD25A746BEEC468948D6C3C7C5DC9A54B", - "a_hex": "D86EBB0BDAD8CC1F32AA67FE61B076898D347D56E0B08752D6D513A876408872", - "A_P3": { - "t": "60BF2FA8C8EE7022B1B1AA3342E7DA9F7E2B2141363D39A453696E392B83AA5E", - "x": "015DE8334C4ECC222FBE6E0E804207DC8451C2B8C34A9692D0B0D7B05B8EC210", - "y": "FA285C0584D9D8721EBD17A0F2B24F8B1357AD1D75619D5E28810A32BD92A90B", - "z": "C8D092E42A9A17C926D64DC36C4728740EAF2BC285697F6A272507F066AA9F2D" - } - }, - { - "A_P": { - "x": "BF37EB91595571750112FC7A86B346217FB703E49BECC8E84ACEB918F7326971", - "y": "FD50B8E3B144EA244FBF7737F550BC8DD0C2650BBC1AADA833CA17FF8DBF321B" - }, - "secret_hex": "0000000000000000000000000000000000000000000000000000000000000004", - "A_hex": "FD50B8E3B144EA244FBF7737F550BC8DD0C2650BBC1AADA833CA17FF8DBF329B", - "a_hex": "707463F0CDE063BBC51B6C5A43C3733199B83E2C152B19E8EE354D0E6852356B", - "A_P3": { - "t": "6650AEE6AF1D42D540A15A31DB7099AA59A1B8C8D5C69DFAC4BCEA2253F12621", - "x": 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in to ECDH is a point that actually exists on the curve. This is important to prevent a twist attack that can be used to reveal the private key of a party in an ECDH operation over a number of occurances. For more details on the attack see this blog post: https://github.com/christianlundkvist/blog/blob/master/2020_05_26_secp256k1_twist_attacks/secp256k1_twist_attacks.md CVE: CVE-2020-28498 --- lib/elliptic/ec/key.js | 3 +++ test/ecdh-test.js | 14 ++++++++++++++ 2 files changed, 17 insertions(+) diff --git a/lib/elliptic/ec/key.js b/lib/elliptic/ec/key.js index 8aa7451c..55bf2991 100644 --- a/lib/elliptic/ec/key.js +++ b/lib/elliptic/ec/key.js @@ -100,6 +100,9 @@ KeyPair.prototype._importPublic = function _importPublic(key, enc) { // ECDH KeyPair.prototype.derive = function derive(pub) { + if(!pub.validate()) { + assert(pub.validate(), 'public point not validated'); + } return pub.mul(this.priv).getX(); }; diff --git a/test/ecdh-test.js b/test/ecdh-test.js index aa28b755..47543b63 100644 --- a/test/ecdh-test.js +++ b/test/ecdh-test.js @@ -27,3 +27,17 @@ describe('ECDH', function() { test('ed25519'); test('secp256k1'); }); + +describe('ECDH twist attack', () => { + it('should be able to prevent a twist attack for secp256k1', () => { + var bobEcdh = new elliptic.ec('secp256k1'); + var malloryEcdh = new elliptic.ec('secp256k1'); + var bob = bobEcdh.genKeyPair(); + // This is a bad point that shouldn't be able to be passed to derive. + // If a bad point can be passed it's possible to perform a twist attack. + var mallory = malloryEcdh.keyFromPublic({ x: 14, y: 16 }); + assert.throws(function () { + bob.derive(mallory.getPublic()); + }); + }); +}); From f4bc72be11b0a508fb790f445c43534307c9255b Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Tue, 2 Feb 2021 10:20:50 -0800 Subject: [PATCH 14/15] package: bump deps --- package-lock.json | 11878 ++++++++++++++++++++++++++++++++++++++------ 1 file changed, 10287 insertions(+), 1591 deletions(-) diff --git a/package-lock.json b/package-lock.json index 8cee692d..8efa1a0c 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,22 +1,8354 @@ { "name": "elliptic", "version": "6.5.3", - "lockfileVersion": 1, + 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"sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==", + "dev": true } } } From 43ac7f230069bd1575e1e4a58394a512303ba803 Mon Sep 17 00:00:00 2001 From: Fedor Indutny Date: Tue, 2 Feb 2021 10:21:02 -0800 Subject: [PATCH 15/15] 6.5.4 --- dist/elliptic.js | 714 ++++++++++++++++++++++--------------------- dist/elliptic.min.js | 6 +- package-lock.json | 4 +- package.json | 2 +- 4 files changed, 370 insertions(+), 356 deletions(-) diff --git a/dist/elliptic.js b/dist/elliptic.js index 44987789..6dd00504 100644 --- a/dist/elliptic.js +++ b/dist/elliptic.js @@ -75,18 +75,20 @@ BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { // 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]; + var j; + var nafW; + for (j = 0; j < naf.length; j += doubles.step) { + nafW = 0; + for (var l = j + doubles.step - 1; l >= j; l--) + nafW = (nafW << 1) + naf[l]; 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]; + for (j = 0; j < repr.length; j++) { + nafW = repr[j]; if (nafW === i) b = b.mixedAdd(doubles.points[j]); else if (nafW === -i) @@ -112,11 +114,11 @@ BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { 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++; + for (var l = 0; i >= 0 && naf[i] === 0; i--) + l++; if (i >= 0) - k++; - acc = acc.dblp(k); + l++; + acc = acc.dblp(l); if (i < 0) break; @@ -140,25 +142,28 @@ BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { }; BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, - points, - coeffs, - len, - jacobianResult) { + 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 i; + var j; + var p; + for (i = 0; i < len; i++) { + 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) { + for (i = len - 1; i >= 1; i -= 2) { var a = i - 1; var b = i; if (wndWidth[a] !== 1 || wndWidth[b] !== 1) { @@ -173,7 +178,7 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, points[a], /* 1 */ null, /* 3 */ null, /* 5 */ - points[b] /* 7 */ + points[b], /* 7 */ ]; // Try to avoid Projective points, if possible @@ -197,14 +202,14 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, 7, /* 0 1 */ 5, /* 1 -1 */ 1, /* 1 0 */ - 3 /* 1 1 */ + 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++) { + for (j = 0; j < max; j++) { var ja = jsf[0][j] | 0; var jb = jsf[1][j] | 0; @@ -216,12 +221,12 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, var acc = this.jpoint(null, null, null); var tmp = this._wnafT4; - for (var i = max; i >= 0; i--) { + for (i = max; i >= 0; i--) { var k = 0; while (i >= 0) { var zero = true; - for (var j = 0; j < len; j++) { + for (j = 0; j < len; j++) { tmp[j] = naf[j][i] | 0; if (tmp[j] !== 0) zero = false; @@ -237,9 +242,9 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, if (i < 0) break; - for (var j = 0; j < len; j++) { + for (j = 0; j < len; j++) { var z = tmp[j]; - var p; + p; if (z === 0) continue; else if (z > 0) @@ -254,7 +259,7 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, } } // Zeroify references - for (var i = 0; i < len; i++) + for (i = 0; i < len; i++) wnd[i] = null; if (jacobianResult) @@ -292,7 +297,7 @@ BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) { assert(bytes[bytes.length - 1] % 2 === 1); var res = this.point(bytes.slice(1, 1 + len), - bytes.slice(1 + len, 1 + 2 * len)); + bytes.slice(1 + len, 1 + 2 * len)); return res; } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) && @@ -313,7 +318,7 @@ BasePoint.prototype._encode = function _encode(compact) { if (compact) return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x); - return [ 0x04 ].concat(x, this.getY().toArray('be', len)) ; + return [ 0x04 ].concat(x, this.getY().toArray('be', len)); }; BasePoint.prototype.encode = function encode(enc, compact) { @@ -327,7 +332,7 @@ BasePoint.prototype.precompute = function precompute(power) { var precomputed = { doubles: null, naf: null, - beta: null + beta: null, }; precomputed.naf = this._getNAFPoints(8); precomputed.doubles = this._getDoubles(4, power); @@ -361,7 +366,7 @@ BasePoint.prototype._getDoubles = function _getDoubles(step, power) { } return { step: step, - points: doubles + points: doubles, }; }; @@ -376,7 +381,7 @@ BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) { res[i] = res[i - 1].add(dbl); return { wnd: wnd, - points: res + points: res, }; }; @@ -615,9 +620,12 @@ Point.prototype._projDbl = function _projDbl() { var nx; var ny; var nz; + var e; + var h; + var j; if (this.curve.twisted) { // E = a * C - var e = this.curve._mulA(c); + e = this.curve._mulA(c); // F = E + D var f = e.redAdd(d); if (this.zOne) { @@ -629,9 +637,9 @@ Point.prototype._projDbl = function _projDbl() { nz = f.redSqr().redSub(f).redSub(f); } else { // H = Z1^2 - var h = this.z.redSqr(); + h = this.z.redSqr(); // J = F - 2 * H - var j = f.redSub(h).redISub(h); + j = f.redSub(h).redISub(h); // X3 = (B-C-D)*J nx = b.redSub(c).redISub(d).redMul(j); // Y3 = F * (E - D) @@ -641,11 +649,11 @@ Point.prototype._projDbl = function _projDbl() { } } else { // E = C + D - var e = c.redAdd(d); + e = c.redAdd(d); // H = (c * Z1)^2 - var h = this.curve._mulC(this.z).redSqr(); + h = this.curve._mulC(this.z).redSqr(); // J = E - 2 * H - var j = e.redSub(h).redSub(h); + 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) @@ -782,9 +790,9 @@ Point.prototype.normalize = function normalize() { Point.prototype.neg = function neg() { return this.curve.point(this.x.redNeg(), - this.y, - this.z, - this.t && this.t.redNeg()); + this.y, + this.z, + this.t && this.t.redNeg()); }; Point.prototype.getX = function getX() { @@ -1078,7 +1086,7 @@ ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) { basis = conf.basis.map(function(vec) { return { a: new BN(vec.a, 16), - b: new BN(vec.b, 16) + b: new BN(vec.b, 16), }; }); } else { @@ -1088,7 +1096,7 @@ ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) { return { beta: beta, lambda: lambda, - basis: basis + basis: basis, }; }; @@ -1179,7 +1187,7 @@ ShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) { return [ { a: a1, b: b1 }, - { a: a2, b: b2 } + { a: a2, b: b2 }, ]; }; @@ -1235,36 +1243,36 @@ ShortCurve.prototype.validate = function validate(point) { 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); + 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); + } - // Clean-up references to points and coefficients - for (var j = 0; j < i * 2; j++) { - npoints[j] = null; - ncoeffs[j] = null; - } - return res; -}; + 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'); @@ -1316,12 +1324,12 @@ Point.prototype._getBeta = function _getBeta() { beta: null, naf: pre.naf && { wnd: pre.naf.wnd, - points: pre.naf.points.map(endoMul) + points: pre.naf.points.map(endoMul), }, doubles: pre.doubles && { step: pre.doubles.step, - points: pre.doubles.points.map(endoMul) - } + points: pre.doubles.points.map(endoMul), + }, }; } return beta; @@ -1334,12 +1342,12 @@ Point.prototype.toJSON = function toJSON() { return [ this.x, this.y, this.precomputed && { doubles: this.precomputed.doubles && { step: this.precomputed.doubles.step, - points: this.precomputed.doubles.points.slice(1) + points: this.precomputed.doubles.points.slice(1), }, naf: this.precomputed.naf && { wnd: this.precomputed.naf.wnd, - points: this.precomputed.naf.points.slice(1) - } + points: this.precomputed.naf.points.slice(1), + }, } ]; }; @@ -1359,12 +1367,12 @@ Point.fromJSON = function fromJSON(curve, obj, red) { beta: null, doubles: pre.doubles && { step: pre.doubles.step, - points: [ res ].concat(pre.doubles.points.map(obj2point)) + points: [ res ].concat(pre.doubles.points.map(obj2point)), }, naf: pre.naf && { wnd: pre.naf.wnd, - points: [ res ].concat(pre.naf.points.map(obj2point)) - } + points: [ res ].concat(pre.naf.points.map(obj2point)), + }, }; return res; }; @@ -1486,12 +1494,12 @@ Point.prototype.neg = function neg(_precompute) { res.precomputed = { naf: pre.naf && { wnd: pre.naf.wnd, - points: pre.naf.points.map(negate) + points: pre.naf.points.map(negate), }, doubles: pre.doubles && { step: pre.doubles.step, - points: pre.doubles.points.map(negate) - } + points: pre.doubles.points.map(negate), + }, }; } return res; @@ -1628,9 +1636,10 @@ JPoint.prototype.dblp = function dblp(pow) { if (!pow) return this.dbl(); + var i; if (this.curve.zeroA || this.curve.threeA) { var r = this; - for (var i = 0; i < pow; i++) + for (i = 0; i < pow; i++) r = r.dbl(); return r; } @@ -1647,7 +1656,7 @@ JPoint.prototype.dblp = function dblp(pow) { // Reuse results var jyd = jy.redAdd(jy); - for (var i = 0; i < pow; i++) { + for (i = 0; i < pow; i++) { var jx2 = jx.redSqr(); var jyd2 = jyd.redSqr(); var jyd4 = jyd2.redSqr(); @@ -1990,10 +1999,10 @@ function defineCurve(name, options) { Object.defineProperty(curves, name, { configurable: true, enumerable: true, - value: curve + value: curve, }); return curve; - } + }, }); } @@ -2008,8 +2017,8 @@ defineCurve('p192', { gRed: false, g: [ '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012', - '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811' - ] + '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811', + ], }); defineCurve('p224', { @@ -2023,8 +2032,8 @@ defineCurve('p224', { gRed: false, g: [ 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21', - 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34' - ] + 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34', + ], }); defineCurve('p256', { @@ -2038,8 +2047,8 @@ defineCurve('p256', { gRed: false, g: [ '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296', - '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5' - ] + '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5', + ], }); defineCurve('p384', { @@ -2059,8 +2068,8 @@ defineCurve('p384', { 'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' + '5502f25d bf55296c 3a545e38 72760ab7', '3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' + - '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f' - ] + '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f', + ], }); defineCurve('p521', { @@ -2086,8 +2095,8 @@ defineCurve('p521', { 'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66', '00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' + '579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' + - '3fad0761 353c7086 a272c240 88be9476 9fd16650' - ] + '3fad0761 353c7086 a272c240 88be9476 9fd16650', + ], }); defineCurve('curve25519', { @@ -2100,8 +2109,8 @@ defineCurve('curve25519', { hash: hash.sha256, gRed: false, g: [ - '9' - ] + '9', + ], }); defineCurve('ed25519', { @@ -2119,8 +2128,8 @@ defineCurve('ed25519', { '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a', // 4/5 - '6666666666666666666666666666666666666666666666666666666666666658' - ] + '6666666666666666666666666666666666666666666666666666666666666658', + ], }); var pre; @@ -2146,20 +2155,20 @@ defineCurve('secp256k1', { basis: [ { a: '3086d221a7d46bcde86c90e49284eb15', - b: '-e4437ed6010e88286f547fa90abfe4c3' + b: '-e4437ed6010e88286f547fa90abfe4c3', }, { a: '114ca50f7a8e2f3f657c1108d9d44cfd8', - b: '3086d221a7d46bcde86c90e49284eb15' - } + b: '3086d221a7d46bcde86c90e49284eb15', + }, ], gRed: false, g: [ '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', - pre - ] + pre, + ], }); },{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(require,module,exports){ @@ -2181,7 +2190,8 @@ function EC(options) { // Shortcut `elliptic.ec(curve-name)` if (typeof options === 'string') { - assert(curves.hasOwnProperty(options), 'Unknown curve ' + options); + assert(Object.prototype.hasOwnProperty.call(curves, options), + 'Unknown curve ' + options); options = curves[options]; } @@ -2227,22 +2237,22 @@ EC.prototype.genKeyPair = function genKeyPair(options) { persEnc: options.persEnc || 'utf8', entropy: options.entropy || rand(this.hash.hmacStrength), entropyEnc: options.entropy && options.entropyEnc || 'utf8', - nonce: this.n.toArray() + nonce: this.n.toArray(), }); var bytes = this.n.byteLength(); var ns2 = this.n.sub(new BN(2)); - do { + for (;;) { 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) { +EC.prototype._truncateToN = function _truncateToN(msg, truncOnly) { var delta = msg.byteLength() * 8 - this.n.bitLength(); if (delta > 0) msg = msg.ushrn(delta); @@ -2276,16 +2286,16 @@ EC.prototype.sign = function sign(msg, key, enc, options) { entropy: bkey, nonce: nonce, pers: options.pers, - persEnc: options.persEnc || 'utf8' + persEnc: options.persEnc || 'utf8', }); // Number of bytes to generate var ns1 = this.n.sub(new BN(1)); - for (var iter = 0; true; iter++) { + for (var iter = 0; ; iter++) { var k = options.k ? - options.k(iter) : - new BN(drbg.generate(this.n.byteLength())); + 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; @@ -2334,9 +2344,10 @@ EC.prototype.verify = function verify(msg, signature, key, enc) { var sinv = s.invm(this.n); var u1 = sinv.mul(msg).umod(this.n); var u2 = sinv.mul(r).umod(this.n); + var p; if (!this.curve._maxwellTrick) { - var p = this.g.mulAdd(u1, key.getPublic(), u2); + p = this.g.mulAdd(u1, key.getPublic(), u2); if (p.isInfinity()) return false; @@ -2346,7 +2357,7 @@ EC.prototype.verify = function verify(msg, signature, key, enc) { // NOTE: Greg Maxwell's trick, inspired by: // https://git.io/vad3K - var p = this.g.jmulAdd(u1, key.getPublic(), u2); + p = this.g.jmulAdd(u1, key.getPublic(), u2); if (p.isInfinity()) return false; @@ -2431,7 +2442,7 @@ KeyPair.fromPublic = function fromPublic(ec, pub, enc) { return new KeyPair(ec, { pub: pub, - pubEnc: enc + pubEnc: enc, }); }; @@ -2441,7 +2452,7 @@ KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) { return new KeyPair(ec, { priv: priv, - privEnc: enc + privEnc: enc, }); }; @@ -2508,6 +2519,9 @@ KeyPair.prototype._importPublic = function _importPublic(key, enc) { // ECDH KeyPair.prototype.derive = function derive(pub) { + if(!pub.validate()) { + assert(pub.validate(), 'public point not validated'); + } return pub.mul(this.priv).getX(); }; @@ -2710,7 +2724,7 @@ function EDDSA(curve) { if (!(this instanceof EDDSA)) return new EDDSA(curve); - var curve = curves[curve].curve; + curve = curves[curve].curve; this.curve = curve; this.g = curve.g; this.g.precompute(curve.n.bitLength() + 1); @@ -2734,7 +2748,7 @@ EDDSA.prototype.sign = 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d2 = 0; + var m8; 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; @@ -3826,7 +3840,7 @@ function getJSF(k1, k2) { if ((m14 & 1) === 0) { u1 = 0; } else { - var m8 = (k1.andln(7) + d1) & 7; + m8 = (k1.andln(7) + d1) & 7; if ((m8 === 3 || m8 === 5) && m24 === 2) u1 = -m14; else @@ -3838,7 +3852,7 @@ function getJSF(k1, k2) { if ((m24 & 1) === 0) { u2 = 0; } else { - var m8 = (k2.andln(7) + d2) & 7; + m8 = (k2.andln(7) + d2) & 7; if ((m8 === 3 || m8 === 5) && m14 === 2) u2 = -m24; else @@ -3863,14 +3877,14 @@ function cachedProperty(obj, name, computer) { var key = '_' + name; obj.prototype[name] = function cachedProperty() { return this[key] !== undefined ? this[key] : - this[key] = computer.call(this); + this[key] = computer.call(this); }; } utils.cachedProperty = cachedProperty; function parseBytes(bytes) { return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') : - bytes; + bytes; } utils.parseBytes = parseBytes; @@ -6855,7 +6869,13 @@ utils.intFromLE = intFromLE; } else if (cmp > 0) { r.isub(this.p); } else { - r.strip(); + if (r.strip !== undefined) { + // r is BN v4 instance + r.strip(); + } else { + // r is BN v5 instance + r._strip(); + } } return r; @@ -8830,16 +8850,15 @@ utils.encode = function encode(arr, enc) { },{}],35:[function(require,module,exports){ module.exports={ "name": "elliptic", - "version": "6.5.3", + "version": "6.5.4", "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", + "lint": "eslint lib test", + "lint:fix": "npm run lint -- --fix", "unit": "istanbul test _mocha --reporter=spec test/index.js", "test": "npm run lint && npm run unit", "version": "grunt dist && git add dist/" @@ -8861,29 +8880,28 @@ module.exports={ }, "homepage": "https://github.com/indutny/elliptic", "devDependencies": { - "brfs": "^1.4.3", - "coveralls": "^3.0.8", - "grunt": "^1.0.4", - "grunt-browserify": "^5.0.0", - "grunt-cli": "^1.2.0", - "grunt-contrib-connect": "^1.0.0", + "brfs": "^2.0.2", + "coveralls": "^3.1.0", + "eslint": "^7.6.0", + "grunt": "^1.2.1", + "grunt-browserify": "^5.3.0", + "grunt-cli": "^1.3.2", + "grunt-contrib-connect": "^3.0.0", "grunt-contrib-copy": "^1.0.0", - "grunt-contrib-uglify": "^1.0.1", - "grunt-mocha-istanbul": "^3.0.1", + "grunt-contrib-uglify": "^5.0.0", + "grunt-mocha-istanbul": "^5.0.2", "grunt-saucelabs": "^9.0.1", - "istanbul": "^0.4.2", - "jscs": "^3.0.7", - "jshint": "^2.10.3", - "mocha": "^6.2.2" + "istanbul": "^0.4.5", + "mocha": "^8.0.1" }, "dependencies": { - "bn.js": "^4.4.0", - "brorand": "^1.0.1", + "bn.js": "^4.11.9", + "brorand": "^1.1.0", "hash.js": "^1.0.0", - "hmac-drbg": "^1.0.0", - "inherits": "^2.0.1", - "minimalistic-assert": "^1.0.0", - "minimalistic-crypto-utils": "^1.0.0" + "hmac-drbg": "^1.0.1", + "inherits": "^2.0.4", + "minimalistic-assert": "^1.0.1", + "minimalistic-crypto-utils": "^1.0.1" } } diff --git a/dist/elliptic.min.js b/dist/elliptic.min.js index 9d18cea6..7e492433 100644 --- a/dist/elliptic.min.js +++ b/dist/elliptic.min.js @@ -1,5 +1 @@ -!function(a){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=a();else if("function"==typeof define&&define.amd)define([],a);else{var b;b="undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this,b.elliptic=a()}}(function(){return function(){function a(b,c,d){function e(g,h){if(!c[g]){if(!b[g]){var i="function"==typeof require&&require;if(!h&&i)return i(g,!0);if(f)return f(g,!0);var j=new Error("Cannot find module '"+g+"'");throw j.code="MODULE_NOT_FOUND",j}var k=c[g]={exports:{}};b[g][0].call(k.exports,function(a){var c=b[g][1][a];return e(c||a)},k,k.exports,a,b,c,d)}return c[g].exports}for(var 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o=l-1,p=l;if(1===f[o]&&1===f[p]){var q=[b[o],null,null,b[p]];0===b[o].y.cmp(b[p].y)?(q[1]=b[o].add(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg())):0===b[o].y.cmp(b[p].y.redNeg())?(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].add(b[p].neg())):(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg()));var r=[-3,-1,-5,-7,0,7,5,1,3],s=i(c[o],c[p]);k=Math.max(s[0].length,k),j[o]=new Array(k),j[p]=new Array(k);for(var t=0;t=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t0?m=g[t][A-1>>1]:A<0&&(m=g[t][-A-1>>1].neg()),w="affine"===m.type?w.mixedAdd(m):w.add(m))}}for(var l=0;l=Math.ceil((a.bitLength()+1)/b.step)},e.prototype._getDoubles=function(a,b){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var c=[this],d=this,e=0;e":""},e.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.z).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)},e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return this.x=this.x.redMul(a),this.y=this.y.redMul(a),this.t&&(this.t=this.t.redMul(a)),this.z=this.curve.one,this.zOne=!0,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),this.y.fromRed()},e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())},e.prototype.eqXToP=function(a){var b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){h.call(this,"mont",a),this.a=new f(a.a,16).toRed(this.red),this.b=new f(a.b,16).toRed(this.red),this.i4=new f(4).toRed(this.red).redInvm(),this.two=new f(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){h.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new f(b,16),this.z=new f(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("bn.js"),g=a("inherits"),h=a("./base"),i=a("../utils");g(d,h),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},g(e,h.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(i.toArray(a,b),1)},d.prototype.point=function(a,b){return new e(this,a,b)},d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},e.prototype.precompute=function(){},e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)},e.prototype.inspect=function(){return this.isInfinity()?"":""},e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},e.prototype.dbl=function(){var a=this.x.redAdd(this.z),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(a,b,c){"use strict";function d(a){j.call(this,"short",a),this.a=new h(a.a,16).toRed(this.red),this.b=new h(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(a),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){j.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new h(b,16),this.y=new h(c,16),d&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function f(a,b,c,d){j.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new h(0)):(this.x=new h(b,16),this.y=new h(c,16),this.z=new h(d,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}var g=a("../utils"),h=a("bn.js"),i=a("inherits"),j=a("./base"),k=g.assert;i(d,j),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new h(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new h(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],k(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new h(a.a,16),b:new h(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:h.mont(a),c=new h(2).toRed(b).redInvm(),d=c.redNeg(),e=new h(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,i,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new h(1),p=new h(0),q=new h(0),r=new h(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=i.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;i=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f":""},e.prototype.isInfinity=function(){return this.inf},e.prototype.add=function(a){if(this.inf)return a;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new h(a,16),this.isInfinity()?this:this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))},e.prototype.neg=function(a){if(this.inf)return this;var b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},i(f,j.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"":""},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h["short"](a):"edwards"===a.type?this.curve=new h.edwards(a):this.curve=new h.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,j(this.g.validate(),"Invalid curve"),j(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("./curve"),i=a("./utils"),j=i.assert;f.PresetCurve=d,e("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:g.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),e("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:g.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),e("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:g.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),e("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:g.sha384,gRed:!1,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"]}),e("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:g.sha512,gRed:!1,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"]}),e("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["9"]}),e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"] -});var k;try{k=a("./precomputed/secp256k1")}catch(l){k=void 0}e("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:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",k]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(j(h.hasOwnProperty(a),"Unknown curve "+a),a=h[a]),a instanceof h.PresetCurve&&(a={curve:a}),this.curve=a.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=a.curve.g,this.g.precompute(a.curve.n.bitLength()+1),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../utils"),h=a("../curves"),i=a("brorand"),j=g.assert,k=a("./key"),l=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new k(this,a)},d.prototype.keyFromPrivate=function(a,b){return k.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return k.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||i(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var g=new e(b.generate(c));if(!(g.cmp(d)>0))return g.iaddn(1),this.keyFromPrivate(g)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(k)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new l({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new l(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var k=this.g.mulAdd(i,c.getPublic(),j);return!k.isInfinity()&&0===k.getX().umod(this.n).cmp(f)}var k=this.g.jmulAdd(i,c.getPublic(),j);return!k.isInfinity()&&k.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){j((3&c)===c,"The recovery param is more than two bits"),b=new l(b,d);var f=this.n,g=new e(a),h=b.r,i=b.s,k=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),k):this.curve.pointFromX(h,k);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=i.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new l(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../utils"),g=f.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?g(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||g(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(k(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;var d=15&c;if(0===d||d>4)return!1;for(var e=0,f=0,g=b.place;f>>=0;return!(e<=127)&&(b.place=g,e)}function g(a){for(var b=0,c=a.length-1;!a[b]&&!(128&a[b+1])&&b>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../utils"),k=j.assert;b.exports=d,d.prototype._importDER=function(a,b){a=j.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d===!1)return!1;if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c);if(g===!1)return!1;var h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var k=f(a,c);if(k===!1)return!1;if(a.length!==k+c.place)return!1;var l=a.slice(c.place,k+c.place);if(0===h[0]){if(!(128&h[1]))return!1;h=h.slice(1)}if(0===l[0]){if(!(128&l[1]))return!1;l=l.slice(1)}return this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),j.encode(f,a)}},{"../utils":15,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../curves"),g=a("../utils"),h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b(e>>1)-1?(e>>1)-i:i,f.isubn(h)):h=0,d[g]=h,f.iushrn(1)}return d}function e(a,b){var c=[[],[]];a=a.clone(),b=b.clone();for(var d=0,e=0;a.cmpn(-d)>0||b.cmpn(-e)>0;){var f=a.andln(3)+d&3,g=b.andln(3)+e&3;3===f&&(f=-1),3===g&&(g=-1);var h;if(0===(1&f))h=0;else{var i=a.andln(7)+d&7;h=3!==i&&5!==i||2!==g?f:-f}c[0].push(h);var j;if(0===(1&g))j=0;else{var i=b.andln(7)+e&7;j=3!==i&&5!==i||2!==f?g:-g}c[1].push(j),2*d===h+1&&(d=1-d),2*e===j+1&&(e=1-e),a.iushrn(1),b.iushrn(1)}return c}function f(a,b,c){var d="_"+b;a.prototype[b]=function(){return void 0!==this[d]?this[d]:this[d]=c.call(this)}}function g(a){return"string"==typeof a?i.toArray(a,"hex"):a}function h(a){return new j(a,"hex","le")}var i=c,j=a("bn.js"),k=a("minimalistic-assert"),l=a("minimalistic-crypto-utils");i.assert=k,i.toArray=l.toArray,i.zero2=l.zero2,i.toHex=l.toHex,i.encode=l.encode,i.getNAF=d,i.getJSF=e,i.cachedProperty=f,i.parseBytes=g,i.intFromLE=h},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(a,b,c){!function(b,c){"use strict";function d(a,b){if(!a)throw new Error(b||"Assertion failed")}function e(a,b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}function f(a,b,c){return f.isBN(a)?a:(this.negative=0,this.words=null,this.length=0,this.red=null,void(null!==a&&("le"!==b&&"be"!==b||(c=b,b=10),this._init(a||0,b||10,c||"be"))))}function g(a,b,c){for(var d=0,e=Math.min(a.length,c),f=b;f=49&&g<=54?g-49+10:g>=17&&g<=22?g-17+10:15&g}return d}function h(a,b,c,d){for(var e=0,f=Math.min(a.length,c),g=b;g=49?h-49+10:h>=17?h-17+10:h}return e}function i(a){for(var b=new Array(a.bitLength()),c=0;c>>e}return b}function j(a,b,c){c.negative=b.negative^a.negative;var d=a.length+b.length|0;c.length=d,d=d-1|0;var e=0|a.words[0],f=0|b.words[0],g=e*f,h=67108863&g,i=g/67108864|0;c.words[0]=h;for(var j=1;j>>26,l=67108863&i,m=Math.min(j,b.length-1),n=Math.max(0,j-a.length+1);n<=m;n++){var o=j-n|0;e=0|a.words[o],f=0|b.words[n],g=e*f+l,k+=g/67108864|0,l=67108863&g}c.words[j]=0|l,i=0|k}return 0!==i?c.words[j]=0|i:c.length--,c.strip()}function k(a,b,c){c.negative=b.negative^a.negative,c.length=a.length+b.length;for(var d=0,e=0,f=0;f>>26)|0,e+=g>>>26,g&=67108863}c.words[f]=h,d=g,g=e}return 0!==d?c.words[f]=d:c.length--,c.strip()}function l(a,b,c){var d=new m;return d.mulp(a,b,c)}function m(a,b){this.x=a,this.y=b}function n(a,b){this.name=a,this.p=new f(b,16),this.n=this.p.bitLength(),this.k=new f(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function o(){n.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function p(){n.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function q(){n.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function r(){n.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function s(a){if("string"==typeof a){var b=f._prime(a);this.m=b.p,this.prime=b}else d(a.gtn(1),"modulus must be greater than 1"),this.m=a,this.prime=null}function t(a){s.call(this,a),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new f(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)}"object"==typeof b?b.exports=f:c.BN=f,f.BN=f,f.wordSize=26;var u;try{u=a("buffer").Buffer}catch(v){}f.isBN=function(a){return a instanceof f||null!==a&&"object"==typeof a&&a.constructor.wordSize===f.wordSize&&Array.isArray(a.words)},f.max=function(a,b){return a.cmp(b)>0?a:b},f.min=function(a,b){return a.cmp(b)<0?a:b},f.prototype._init=function(a,b,c){if("number"==typeof a)return this._initNumber(a,b,c);if("object"==typeof a)return this._initArray(a,b,c);"hex"===b&&(b=16),d(b===(0|b)&&b>=2&&b<=36),a=a.toString().replace(/\s+/g,"");var e=0;"-"===a[0]&&e++,16===b?this._parseHex(a,e):this._parseBase(a,b,e),"-"===a[0]&&(this.negative=1),this.strip(),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initNumber=function(a,b,c){a<0&&(this.negative=1,a=-a),a<67108864?(this.words=[67108863&a],this.length=1):a<4503599627370496?(this.words=[67108863&a,a/67108864&67108863],this.length=2):(d(a<9007199254740992),this.words=[67108863&a,a/67108864&67108863,1],this.length=3),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initArray=function(a,b,c){if(d("number"==typeof a.length),a.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(a.length/3),this.words=new Array(this.length);for(var 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Aa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Aa>>>26)|0,Aa&=67108863,d=Math.imul(M,V),e=Math.imul(M,W),e=e+Math.imul(N,V)|0,f=Math.imul(N,W),d=d+Math.imul(J,Y)|0,e=e+Math.imul(J,Z)|0,e=e+Math.imul(K,Y)|0,f=f+Math.imul(K,Z)|0,d=d+Math.imul(G,_)|0,e=e+Math.imul(G,aa)|0,e=e+Math.imul(H,_)|0,f=f+Math.imul(H,aa)|0,d=d+Math.imul(D,ca)|0,e=e+Math.imul(D,da)|0,e=e+Math.imul(E,ca)|0,f=f+Math.imul(E,da)|0,d=d+Math.imul(A,fa)|0,e=e+Math.imul(A,ga)|0,e=e+Math.imul(B,fa)|0,f=f+Math.imul(B,ga)|0,d=d+Math.imul(x,ia)|0,e=e+Math.imul(x,ja)|0,e=e+Math.imul(y,ia)|0,f=f+Math.imul(y,ja)|0,d=d+Math.imul(u,la)|0,e=e+Math.imul(u,ma)|0,e=e+Math.imul(v,la)|0,f=f+Math.imul(v,ma)|0,d=d+Math.imul(r,oa)|0,e=e+Math.imul(r,pa)|0,e=e+Math.imul(s,oa)|0,f=f+Math.imul(s,pa)|0;var Ba=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ba>>>26)|0,Ba&=67108863,d=Math.imul(M,Y),e=Math.imul(M,Z),e=e+Math.imul(N,Y)|0,f=Math.imul(N,Z),d=d+Math.imul(J,_)|0,e=e+Math.imul(J,aa)|0,e=e+Math.imul(K,_)|0,f=f+Math.imul(K,aa)|0,d=d+Math.imul(G,ca)|0,e=e+Math.imul(G,da)|0,e=e+Math.imul(H,ca)|0,f=f+Math.imul(H,da)|0,d=d+Math.imul(D,fa)|0,e=e+Math.imul(D,ga)|0,e=e+Math.imul(E,fa)|0,f=f+Math.imul(E,ga)|0,d=d+Math.imul(A,ia)|0,e=e+Math.imul(A,ja)|0,e=e+Math.imul(B,ia)|0,f=f+Math.imul(B,ja)|0,d=d+Math.imul(x,la)|0,e=e+Math.imul(x,ma)|0,e=e+Math.imul(y,la)|0,f=f+Math.imul(y,ma)|0,d=d+Math.imul(u,oa)|0,e=e+Math.imul(u,pa)|0,e=e+Math.imul(v,oa)|0,f=f+Math.imul(v,pa)|0;var Ca=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ca>>>26)|0,Ca&=67108863,d=Math.imul(M,_),e=Math.imul(M,aa),e=e+Math.imul(N,_)|0,f=Math.imul(N,aa),d=d+Math.imul(J,ca)|0,e=e+Math.imul(J,da)|0,e=e+Math.imul(K,ca)|0,f=f+Math.imul(K,da)|0,d=d+Math.imul(G,fa)|0,e=e+Math.imul(G,ga)|0,e=e+Math.imul(H,fa)|0,f=f+Math.imul(H,ga)|0,d=d+Math.imul(D,ia)|0,e=e+Math.imul(D,ja)|0,e=e+Math.imul(E,ia)|0,f=f+Math.imul(E,ja)|0,d=d+Math.imul(A,la)|0,e=e+Math.imul(A,ma)|0,e=e+Math.imul(B,la)|0,f=f+Math.imul(B,ma)|0,d=d+Math.imul(x,oa)|0,e=e+Math.imul(x,pa)|0,e=e+Math.imul(y,oa)|0,f=f+Math.imul(y,pa)|0;var Da=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Da>>>26)|0,Da&=67108863,d=Math.imul(M,ca),e=Math.imul(M,da),e=e+Math.imul(N,ca)|0,f=Math.imul(N,da),d=d+Math.imul(J,fa)|0,e=e+Math.imul(J,ga)|0,e=e+Math.imul(K,fa)|0,f=f+Math.imul(K,ga)|0,d=d+Math.imul(G,ia)|0,e=e+Math.imul(G,ja)|0,e=e+Math.imul(H,ia)|0,f=f+Math.imul(H,ja)|0,d=d+Math.imul(D,la)|0,e=e+Math.imul(D,ma)|0,e=e+Math.imul(E,la)|0,f=f+Math.imul(E,ma)|0,d=d+Math.imul(A,oa)|0,e=e+Math.imul(A,pa)|0,e=e+Math.imul(B,oa)|0,f=f+Math.imul(B,pa)|0;var Ea=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ea>>>26)|0,Ea&=67108863,d=Math.imul(M,fa),e=Math.imul(M,ga),e=e+Math.imul(N,fa)|0,f=Math.imul(N,ga),d=d+Math.imul(J,ia)|0,e=e+Math.imul(J,ja)|0,e=e+Math.imul(K,ia)|0,f=f+Math.imul(K,ja)|0,d=d+Math.imul(G,la)|0,e=e+Math.imul(G,ma)|0,e=e+Math.imul(H,la)|0,f=f+Math.imul(H,ma)|0,d=d+Math.imul(D,oa)|0,e=e+Math.imul(D,pa)|0,e=e+Math.imul(E,oa)|0,f=f+Math.imul(E,pa)|0;var Fa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Fa>>>26)|0,Fa&=67108863,d=Math.imul(M,ia),e=Math.imul(M,ja),e=e+Math.imul(N,ia)|0,f=Math.imul(N,ja),d=d+Math.imul(J,la)|0,e=e+Math.imul(J,ma)|0,e=e+Math.imul(K,la)|0,f=f+Math.imul(K,ma)|0,d=d+Math.imul(G,oa)|0,e=e+Math.imul(G,pa)|0,e=e+Math.imul(H,oa)|0,f=f+Math.imul(H,pa)|0;var Ga=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ga>>>26)|0,Ga&=67108863,d=Math.imul(M,la),e=Math.imul(M,ma),e=e+Math.imul(N,la)|0,f=Math.imul(N,ma),d=d+Math.imul(J,oa)|0,e=e+Math.imul(J,pa)|0,e=e+Math.imul(K,oa)|0,f=f+Math.imul(K,pa)|0;var Ha=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ha>>>26)|0,Ha&=67108863,d=Math.imul(M,oa),e=Math.imul(M,pa),e=e+Math.imul(N,oa)|0,f=Math.imul(N,pa);var Ia=(j+d|0)+((8191&e)<<13)|0;return j=(f+(e>>>13)|0)+(Ia>>>26)|0,Ia&=67108863,i[0]=qa,i[1]=ra,i[2]=sa,i[3]=ta,i[4]=ua,i[5]=va,i[6]=wa,i[7]=xa,i[8]=ya,i[9]=za,i[10]=Aa,i[11]=Ba,i[12]=Ca,i[13]=Da,i[14]=Ea,i[15]=Fa,i[16]=Ga,i[17]=Ha,i[18]=Ia,0!==j&&(i[19]=j,c.length++),c};Math.imul||(z=j),f.prototype.mulTo=function(a,b){var c,d=this.length+a.length;return c=10===this.length&&10===a.length?z(this,a,b):d<63?j(this,a,b):d<1024?k(this,a,b):l(this,a,b)},m.prototype.makeRBT=function(a){for(var b=new Array(a),c=f.prototype._countBits(a)-1,d=0;d>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g>>=1)e++;return 1<>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g>=26,b+=e/67108864|0,b+=f>>>26,this.words[c]=67108863&f}return 0!==b&&(this.words[c]=b,this.length++),this},f.prototype.muln=function(a){return this.clone().imuln(a)},f.prototype.sqr=function(){return this.mul(this)},f.prototype.isqr=function(){return this.imul(this.clone())},f.prototype.pow=function(a){var b=i(a);if(0===b.length)return new f(1);for(var c=this,d=0;d=0);var b,c=a%26,e=(a-c)/26,f=67108863>>>26-c<<26-c;if(0!==c){var g=0;for(b=0;b>>26-c}g&&(this.words[b]=g,this.length++)}if(0!==e){for(b=this.length-1;b>=0;b--)this.words[b+e]=this.words[b];for(b=0;b=0);var e;e=b?(b-b%26)/26:0;var f=a%26,g=Math.min((a-f)/26,this.length),h=67108863^67108863>>>f<g)for(this.length-=g,j=0;j=0&&(0!==k||j>=e);j--){var l=0|this.words[j];this.words[j]=k<<26-f|l>>>f,k=l&h}return i&&0!==k&&(i.words[i.length++]=k),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},f.prototype.ishrn=function(a,b,c){return d(0===this.negative),this.iushrn(a,b,c)},f.prototype.shln=function(a){return this.clone().ishln(a)},f.prototype.ushln=function(a){return this.clone().iushln(a)},f.prototype.shrn=function(a){return this.clone().ishrn(a)},f.prototype.ushrn=function(a){return this.clone().iushrn(a)},f.prototype.testn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26,e=1<=0);var b=a%26,c=(a-b)/26;if(d(0===this.negative,"imaskn works only with positive numbers"),this.length<=c)return this;if(0!==b&&c++,this.length=Math.min(c,this.length),0!==b){var e=67108863^67108863>>>b<=67108864;b++)this.words[b]-=67108864,b===this.length-1?this.words[b+1]=1:this.words[b+1]++;return this.length=Math.max(this.length,b+1),this},f.prototype.isubn=function(a){if(d("number"==typeof a),d(a<67108864),a<0)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;if(this.words[0]-=a,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var b=0;b>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e>26,this.words[e]=67108863&g;return this.negative=1,this.strip()},f.prototype._wordDiv=function(a,b){var c=this.length-a.length,d=this.clone(),e=a,g=0|e.words[e.length-1],h=this._countBits(g);c=26-h,0!==c&&(e=e.ushln(c),d.iushln(c),g=0|e.words[e.length-1]);var i,j=d.length-e.length;if("mod"!==b){i=new f(null),i.length=j+1,i.words=new Array(i.length);for(var k=0;k=0;m--){var n=67108864*(0|d.words[e.length+m])+(0|d.words[e.length+m-1]);for(n=Math.min(n/g|0,67108863),d._ishlnsubmul(e,n,m);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,m),d.isZero()||(d.negative^=1);i&&(i.words[m]=n); -}return i&&i.strip(),d.strip(),"div"!==b&&0!==c&&d.iushrn(c),{div:i||null,mod:d}},f.prototype.divmod=function(a,b,c){if(d(!a.isZero()),this.isZero())return{div:new f(0),mod:new f(0)};var e,g,h;return 0!==this.negative&&0===a.negative?(h=this.neg().divmod(a,b),"mod"!==b&&(e=h.div.neg()),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.iadd(a)),{div:e,mod:g}):0===this.negative&&0!==a.negative?(h=this.divmod(a.neg(),b),"mod"!==b&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&a.negative)?(h=this.neg().divmod(a.neg(),b),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.isub(a)),{div:h.div,mod:g}):a.length>this.length||this.cmp(a)<0?{div:new f(0),mod:this}:1===a.length?"div"===b?{div:this.divn(a.words[0]),mod:null}:"mod"===b?{div:null,mod:new f(this.modn(a.words[0]))}:{div:this.divn(a.words[0]),mod:new f(this.modn(a.words[0]))}:this._wordDiv(a,b)},f.prototype.div=function(a){return this.divmod(a,"div",!1).div},f.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod},f.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod},f.prototype.divRound=function(a){var b=this.divmod(a);if(b.mod.isZero())return b.div;var c=0!==b.div.negative?b.mod.isub(a):b.mod,d=a.ushrn(1),e=a.andln(1),f=c.cmp(d);return f<0||1===e&&0===f?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)},f.prototype.modn=function(a){d(a<=67108863);for(var b=(1<<26)%a,c=0,e=this.length-1;e>=0;e--)c=(b*c+(0|this.words[e]))%a;return c},f.prototype.idivn=function(a){d(a<=67108863);for(var b=0,c=this.length-1;c>=0;c--){var e=(0|this.words[c])+67108864*b;this.words[c]=e/a|0,b=e%a}return this.strip()},f.prototype.divn=function(a){return this.clone().idivn(a)},f.prototype.egcd=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=new f(0),i=new f(1),j=0;b.isEven()&&c.isEven();)b.iushrn(1),c.iushrn(1),++j;for(var k=c.clone(),l=b.clone();!b.isZero();){for(var m=0,n=1;0===(b.words[0]&n)&&m<26;++m,n<<=1);if(m>0)for(b.iushrn(m);m-- >0;)(e.isOdd()||g.isOdd())&&(e.iadd(k),g.isub(l)),e.iushrn(1),g.iushrn(1);for(var o=0,p=1;0===(c.words[0]&p)&&o<26;++o,p<<=1);if(o>0)for(c.iushrn(o);o-- >0;)(h.isOdd()||i.isOdd())&&(h.iadd(k),i.isub(l)),h.iushrn(1),i.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(h),g.isub(i)):(c.isub(b),h.isub(e),i.isub(g))}return{a:h,b:i,gcd:c.iushln(j)}},f.prototype._invmp=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=c.clone();b.cmpn(1)>0&&c.cmpn(1)>0;){for(var i=0,j=1;0===(b.words[0]&j)&&i<26;++i,j<<=1);if(i>0)for(b.iushrn(i);i-- >0;)e.isOdd()&&e.iadd(h),e.iushrn(1);for(var k=0,l=1;0===(c.words[0]&l)&&k<26;++k,l<<=1);if(k>0)for(c.iushrn(k);k-- >0;)g.isOdd()&&g.iadd(h),g.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(g)):(c.isub(b),g.isub(e))}var m;return m=0===b.cmpn(1)?e:g,m.cmpn(0)<0&&m.iadd(a),m},f.prototype.gcd=function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone(),c=a.clone();b.negative=0,c.negative=0;for(var d=0;b.isEven()&&c.isEven();d++)b.iushrn(1),c.iushrn(1);for(;;){for(;b.isEven();)b.iushrn(1);for(;c.isEven();)c.iushrn(1);var e=b.cmp(c);if(e<0){var f=b;b=c,c=f}else if(0===e||0===c.cmpn(1))break;b.isub(c)}return c.iushln(d)},f.prototype.invm=function(a){return this.egcd(a).a.umod(a)},f.prototype.isEven=function(){return 0===(1&this.words[0])},f.prototype.isOdd=function(){return 1===(1&this.words[0])},f.prototype.andln=function(a){return this.words[0]&a},f.prototype.bincn=function(a){d("number"==typeof a);var b=a%26,c=(a-b)/26,e=1<>>26,h&=67108863,this.words[g]=h}return 0!==f&&(this.words[g]=f,this.length++),this},f.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},f.prototype.cmpn=function(a){var b=a<0;if(0!==this.negative&&!b)return-1;if(0===this.negative&&b)return 1;this.strip();var c;if(this.length>1)c=1;else{b&&(a=-a),d(a<=67108863,"Number is too big");var e=0|this.words[0];c=e===a?0:ea.length)return 1;if(this.length=0;c--){var d=0|this.words[c],e=0|a.words[c];if(d!==e){de&&(b=1);break}}return b},f.prototype.gtn=function(a){return 1===this.cmpn(a)},f.prototype.gt=function(a){return 1===this.cmp(a)},f.prototype.gten=function(a){return this.cmpn(a)>=0},f.prototype.gte=function(a){return this.cmp(a)>=0},f.prototype.ltn=function(a){return this.cmpn(a)===-1},f.prototype.lt=function(a){return this.cmp(a)===-1},f.prototype.lten=function(a){return this.cmpn(a)<=0},f.prototype.lte=function(a){return this.cmp(a)<=0},f.prototype.eqn=function(a){return 0===this.cmpn(a)},f.prototype.eq=function(a){return 0===this.cmp(a)},f.red=function(a){return new s(a)},f.prototype.toRed=function(a){return d(!this.red,"Already a number in reduction context"),d(0===this.negative,"red works only with positives"),a.convertTo(this)._forceRed(a)},f.prototype.fromRed=function(){return d(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},f.prototype._forceRed=function(a){return this.red=a,this},f.prototype.forceRed=function(a){return d(!this.red,"Already a number in reduction context"),this._forceRed(a)},f.prototype.redAdd=function(a){return d(this.red,"redAdd works only with red numbers"),this.red.add(this,a)},f.prototype.redIAdd=function(a){return d(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,a)},f.prototype.redSub=function(a){return d(this.red,"redSub works only with red numbers"),this.red.sub(this,a)},f.prototype.redISub=function(a){return d(this.red,"redISub works only with red 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B;if("k256"===a)B=new o;else if("p224"===a)B=new p;else if("p192"===a)B=new q;else{if("p25519"!==a)throw new Error("Unknown prime "+a);B=new r}return A[a]=B,B},s.prototype._verify1=function(a){d(0===a.negative,"red works only with positives"),d(a.red,"red works only with red numbers")},s.prototype._verify2=function(a,b){d(0===(a.negative|b.negative),"red works only with positives"),d(a.red&&a.red===b.red,"red works only with red numbers")},s.prototype.imod=function(a){return this.prime?this.prime.ireduce(a)._forceRed(this):a.umod(this.m)._forceRed(this)},s.prototype.neg=function(a){return a.isZero()?a.clone():this.m.sub(a)._forceRed(this)},s.prototype.add=function(a,b){this._verify2(a,b);var c=a.add(b);return c.cmp(this.m)>=0&&c.isub(this.m),c._forceRed(this)},s.prototype.iadd=function(a,b){this._verify2(a,b);var c=a.iadd(b);return c.cmp(this.m)>=0&&c.isub(this.m),c},s.prototype.sub=function(a,b){this._verify2(a,b);var c=a.sub(b);return c.cmpn(0)<0&&c.iadd(this.m),c._forceRed(this)},s.prototype.isub=function(a,b){this._verify2(a,b);var c=a.isub(b);return c.cmpn(0)<0&&c.iadd(this.m),c},s.prototype.shl=function(a,b){return this._verify1(a),this.imod(a.ushln(b))},s.prototype.imul=function(a,b){return this._verify2(a,b),this.imod(a.imul(b))},s.prototype.mul=function(a,b){return this._verify2(a,b),this.imod(a.mul(b))},s.prototype.isqr=function(a){return this.imul(a,a.clone())},s.prototype.sqr=function(a){return this.mul(a,a)},s.prototype.sqrt=function(a){if(a.isZero())return a.clone();var b=this.m.andln(3);if(d(b%2===1),3===b){var c=this.m.add(new f(1)).iushrn(2);return this.pow(a,c)}for(var e=this.m.subn(1),g=0;!e.isZero()&&0===e.andln(1);)g++,e.iushrn(1);d(!e.isZero());var h=new f(1).toRed(this),i=h.redNeg(),j=this.m.subn(1).iushrn(1),k=this.m.bitLength();for(k=new f(2*k*k).toRed(this);0!==this.pow(k,j).cmp(i);)k.redIAdd(i);for(var l=this.pow(k,e),m=this.pow(a,e.addn(1).iushrn(1)),n=this.pow(a,e),o=g;0!==n.cmp(h);){for(var p=n,q=0;0!==p.cmp(h);q++)p=p.redSqr();d(q=0;e--){for(var k=b.words[e],l=j-1;l>=0;l--){var m=k>>l&1;g!==d[0]&&(g=this.sqr(g)),0!==m||0!==h?(h<<=1,h|=m,i++,(i===c||0===e&&0===l)&&(g=this.mul(g,d[h]),i=0,h=0)):i=0}j=26}return g},s.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b},s.prototype.convertFrom=function(a){var b=a.clone();return b.red=null,b},f.mont=function(a){return new t(a)},e(t,s),t.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))},t.prototype.convertFrom=function(a){var b=this.imod(a.mul(this.rinv));return b.red=null,b},t.prototype.imul=function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var c=a.imul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),f=e;return 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c=a.length%this._delta8;this.pending=a.slice(a.length-c,a.length),0===this.pending.length&&(this.pending=null),a=e.join32(a,0,a.length-c,this.endian);for(var d=0;d>>24&255,d[e++]=a>>>16&255,d[e++]=a>>>8&255,d[e++]=255&a}else for(d[e++]=255&a,d[e++]=a>>>8&255,d[e++]=a>>>16&255,d[e++]=a>>>24&255,d[e++]=0,d[e++]=0,d[e++]=0,d[e++]=0,f=8;fthis.blockSize&&(a=(new this.Hash).update(a).digest()),f(a.length<=this.blockSize);for(var b=a.length;b>>3}function k(a){return m(a,17)^m(a,19)^a>>>10}var l=a("../utils"),m=l.rotr32;c.ft_1=d,c.ch32=e,c.maj32=f,c.p32=g,c.s0_256=h,c.s1_256=i,c.g0_256=j,c.g1_256=k},{"../utils":30}],30:[function(a,b,c){"use strict";function d(a,b){return 55296===(64512&a.charCodeAt(b))&&(!(b<0||b+1>=a.length)&&56320===(64512&a.charCodeAt(b+1)))}function e(a,b){if(Array.isArray(a))return a.slice();if(!a)return[];var c=[];if("string"==typeof 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b="",c=0;c",license:"MIT",bugs:{url:"https://github.com/indutny/elliptic/issues"},homepage:"https://github.com/indutny/elliptic",devDependencies:{brfs:"^1.4.3",coveralls:"^3.0.8",grunt:"^1.0.4","grunt-browserify":"^5.0.0","grunt-cli":"^1.2.0","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":"^9.0.1",istanbul:"^0.4.2",jscs:"^3.0.7",jshint:"^2.10.3",mocha:"^6.2.2"},dependencies:{"bn.js":"^4.4.0",brorand:"^1.0.1","hash.js":"^1.0.0","hmac-drbg":"^1.0.0",inherits:"^2.0.1","minimalistic-assert":"^1.0.0","minimalistic-crypto-utils":"^1.0.0"}}},{}]},{},[1])(1)}); \ No newline at end of file +!function(e){"object"==typeof exports&&"undefined"!=typeof module?module.exports=e():"function"==typeof define&&define.amd?define([],e):("undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this).elliptic=e()}(function(){return function r(f,d,n){function 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d=this.curve.twisted?(f=(i=this.curve._mulA(a)).redAdd(s),this.zOne?(e=n.redSub(a).redSub(s).redMul(f.redSub(this.curve.two)),t=f.redMul(i.redSub(s)),f.redSqr().redSub(f).redSub(f)):(r=this.z.redSqr(),d=f.redSub(r).redISub(r),e=n.redSub(a).redISub(s).redMul(d),t=f.redMul(i.redSub(s)),f.redMul(d))):(i=a.redAdd(s),r=this.curve._mulC(this.z).redSqr(),d=i.redSub(r).redSub(r),e=this.curve._mulC(n.redISub(i)).redMul(d),t=this.curve._mulC(i).redMul(a.redISub(s)),i.redMul(d)),this.curve.point(e,t,d)},c.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},c.prototype._extAdd=function(e){var t=this.y.redSub(this.x).redMul(e.y.redSub(e.x)),i=this.y.redAdd(this.x).redMul(e.y.redAdd(e.x)),r=this.t.redMul(this.curve.dd).redMul(e.t),f=this.z.redMul(e.z.redAdd(e.z)),d=i.redSub(t),e=f.redSub(r),f=f.redAdd(r),r=i.redAdd(t),i=d.redMul(e),t=f.redMul(r),r=d.redMul(r),f=e.redMul(f);return this.curve.point(i,t,f,r)},c.prototype._projAdd=function(e){var t,i=this.z.redMul(e.z),r=i.redSqr(),f=this.x.redMul(e.x),d=this.y.redMul(e.y),n=this.curve.d.redMul(f).redMul(d),a=r.redSub(n),n=r.redAdd(n),e=this.x.redAdd(this.y).redMul(e.x.redAdd(e.y)).redISub(f).redISub(d),e=i.redMul(a).redMul(e),n=this.curve.twisted?(t=i.redMul(n).redMul(d.redSub(this.curve._mulA(f))),a.redMul(n)):(t=i.redMul(n).redMul(d.redSub(f)),this.curve._mulC(a).redMul(n));return this.curve.point(e,t,n)},c.prototype.add=function(e){return this.isInfinity()?e:e.isInfinity()?this:this.curve.extended?this._extAdd(e):this._projAdd(e)},c.prototype.mul=function(e){return this._hasDoubles(e)?this.curve._fixedNafMul(this,e):this.curve._wnafMul(this,e)},c.prototype.mulAdd=function(e,t,i){return this.curve._wnafMulAdd(1,[this,t],[e,i],2,!1)},c.prototype.jmulAdd=function(e,t,i){return this.curve._wnafMulAdd(1,[this,t],[e,i],2,!0)},c.prototype.normalize=function(){if(this.zOne)return this;var e=this.z.redInvm();return this.x=this.x.redMul(e),this.y=this.y.redMul(e),this.t&&(this.t=this.t.redMul(e)),this.z=this.curve.one,this.zOne=!0,this},c.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},c.prototype.getX=function(){return this.normalize(),this.x.fromRed()},c.prototype.getY=function(){return this.normalize(),this.y.fromRed()},c.prototype.eq=function(e){return this===e||0===this.getX().cmp(e.getX())&&0===this.getY().cmp(e.getY())},c.prototype.eqXToP=function(e){var t=e.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(t))return!0;for(var i=e.clone(),r=this.curve.redN.redMul(this.z);;){if(i.iadd(this.curve.n),0<=i.cmp(this.curve.p))return!1;if(t.redIAdd(r),0===this.x.cmp(t))return!0}},c.prototype.toP=c.prototype.normalize,c.prototype.mixedAdd=c.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(e,t,i){"use strict";i.base=e("./base"),i.short=e("./short"),i.mont=e("./mont"),i.edwards=e("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(e,t,i){"use strict";var r=e("bn.js"),f=e("inherits"),d=e("./base"),n=e("../utils");function a(e){d.call(this,"mont",e),this.a=new r(e.a,16).toRed(this.red),this.b=new r(e.b,16).toRed(this.red),this.i4=new r(4).toRed(this.red).redInvm(),this.two=new r(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function s(e,t,i){d.BasePoint.call(this,e,"projective"),null===t&&null===i?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new r(t,16),this.z=new r(i,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}f(a,d),(t.exports=a).prototype.validate=function(e){var t=e.normalize().x,e=t.redSqr(),t=e.redMul(t).redAdd(e.redMul(this.a)).redAdd(t);return 0===t.redSqrt().redSqr().cmp(t)},f(s,d.BasePoint),a.prototype.decodePoint=function(e,t){return this.point(n.toArray(e,t),1)},a.prototype.point=function(e,t){return new s(this,e,t)},a.prototype.pointFromJSON=function(e){return s.fromJSON(this,e)},s.prototype.precompute=function(){},s.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},s.fromJSON=function(e,t){return new s(e,t[0],t[1]||e.one)},s.prototype.inspect=function(){return this.isInfinity()?"":""},s.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},s.prototype.dbl=function(){var e=this.x.redAdd(this.z).redSqr(),t=this.x.redSub(this.z).redSqr(),i=e.redSub(t),e=e.redMul(t),i=i.redMul(t.redAdd(this.curve.a24.redMul(i)));return this.curve.point(e,i)},s.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.diffAdd=function(e,t){var i=this.x.redAdd(this.z),r=this.x.redSub(this.z),f=e.x.redAdd(e.z),i=e.x.redSub(e.z).redMul(i),f=f.redMul(r),r=t.z.redMul(i.redAdd(f).redSqr()),f=t.x.redMul(i.redISub(f).redSqr());return this.curve.point(r,f)},s.prototype.mul=function(e){for(var t=e.clone(),i=this,r=this.curve.point(null,null),f=[];0!==t.cmpn(0);t.iushrn(1))f.push(t.andln(1));for(var d=f.length-1;0<=d;d--)0===f[d]?(i=i.diffAdd(r,this),r=r.dbl()):(r=i.diffAdd(r,this),i=i.dbl());return r},s.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.eq=function(e){return 0===this.getX().cmp(e.getX())},s.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},s.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(e,t,i){"use strict";var r=e("../utils"),y=e("bn.js"),f=e("inherits"),d=e("./base"),n=r.assert;function a(e){d.call(this,"short",e),this.a=new y(e.a,16).toRed(this.red),this.b=new y(e.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(e),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function s(e,t,i,r){d.BasePoint.call(this,e,"affine"),null===t&&null===i?(this.x=null,this.y=null,this.inf=!0):(this.x=new y(t,16),this.y=new y(i,16),r&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function c(e,t,i,r){d.BasePoint.call(this,e,"jacobian"),null===t&&null===i&&null===r?(this.x=this.curve.one,this.y=this.curve.one,this.z=new y(0)):(this.x=new y(t,16),this.y=new y(i,16),this.z=new y(r,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}f(a,d),(t.exports=a).prototype._getEndomorphism=function(e){var t,i,r;if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3))return i=(e.beta?new y(e.beta,16):i=(r=this._getEndoRoots(this.p))[0].cmp(r[1])<0?r[0]:r[1]).toRed(this.red),e.lambda?t=new y(e.lambda,16):(r=this._getEndoRoots(this.n),0===this.g.mul(r[0]).x.cmp(this.g.x.redMul(i))?t=r[0]:(t=r[1],n(0===this.g.mul(t).x.cmp(this.g.x.redMul(i))))),{beta:i,lambda:t,basis:e.basis?e.basis.map(function(e){return{a:new y(e.a,16),b:new y(e.b,16)}}):this._getEndoBasis(t)}},a.prototype._getEndoRoots=function(e){var t=e===this.p?this.red:y.mont(e),i=new y(2).toRed(t).redInvm(),e=i.redNeg(),i=new y(3).toRed(t).redNeg().redSqrt().redMul(i);return[e.redAdd(i).fromRed(),e.redSub(i).fromRed()]},a.prototype._getEndoBasis=function(e){for(var t,i,r,f,d,n,a,s=this.n.ushrn(Math.floor(this.n.bitLength()/2)),c=e,h=this.n.clone(),o=new y(1),u=new y(0),b=new y(0),l=new y(1),p=0;0!==c.cmpn(0);){var m=h.div(c),v=h.sub(m.mul(c)),g=b.sub(m.mul(o)),m=l.sub(m.mul(u));if(!r&&v.cmp(s)<0)t=a.neg(),i=o,r=v.neg(),f=g;else if(r&&2==++p)break;h=c,c=a=v,b=o,o=g,l=u,u=m}d=v.neg(),n=g;e=r.sqr().add(f.sqr());return 0<=d.sqr().add(n.sqr()).cmp(e)&&(d=t,n=i),r.negative&&(r=r.neg(),f=f.neg()),d.negative&&(d=d.neg(),n=n.neg()),[{a:r,b:f},{a:d,b:n}]},a.prototype._endoSplit=function(e){var t=this.endo.basis,i=t[0],r=t[1],f=r.b.mul(e).divRound(this.n),d=i.b.neg().mul(e).divRound(this.n),n=f.mul(i.a),t=d.mul(r.a),i=f.mul(i.b),r=d.mul(r.b);return{k1:e.sub(n).sub(t),k2:i.add(r).neg()}},a.prototype.pointFromX=function(e,t){var i=(e=!(e=new y(e,16)).red?e.toRed(this.red):e).redSqr().redMul(e).redIAdd(e.redMul(this.a)).redIAdd(this.b),r=i.redSqrt();if(0!==r.redSqr().redSub(i).cmp(this.zero))throw new Error("invalid point");i=r.fromRed().isOdd();return(t&&!i||!t&&i)&&(r=r.redNeg()),this.point(e,r)},a.prototype.validate=function(e){if(e.inf)return!0;var t=e.x,i=e.y,e=this.a.redMul(t),e=t.redSqr().redMul(t).redIAdd(e).redIAdd(this.b);return 0===i.redSqr().redISub(e).cmpn(0)},a.prototype._endoWnafMulAdd=function(e,t,i){for(var r=this._endoWnafT1,f=this._endoWnafT2,d=0;d":""},s.prototype.isInfinity=function(){return this.inf},s.prototype.add=function(e){if(this.inf)return e;if(e.inf)return this;if(this.eq(e))return this.dbl();if(this.neg().eq(e))return this.curve.point(null,null);if(0===this.x.cmp(e.x))return this.curve.point(null,null);var t=this.y.redSub(e.y),e=(t=0!==t.cmpn(0)?t.redMul(this.x.redSub(e.x).redInvm()):t).redSqr().redISub(this.x).redISub(e.x),t=t.redMul(this.x.redSub(e)).redISub(this.y);return this.curve.point(e,t)},s.prototype.dbl=function(){if(this.inf)return this;var e=this.y.redAdd(this.y);if(0===e.cmpn(0))return this.curve.point(null,null);var t=this.curve.a,i=this.x.redSqr(),e=e.redInvm(),t=i.redAdd(i).redIAdd(i).redIAdd(t).redMul(e),e=t.redSqr().redISub(this.x.redAdd(this.x)),t=t.redMul(this.x.redSub(e)).redISub(this.y);return this.curve.point(e,t)},s.prototype.getX=function(){return this.x.fromRed()},s.prototype.getY=function(){return this.y.fromRed()},s.prototype.mul=function(e){return e=new y(e,16),this.isInfinity()?this:this._hasDoubles(e)?this.curve._fixedNafMul(this,e):this.curve.endo?this.curve._endoWnafMulAdd([this],[e]):this.curve._wnafMul(this,e)},s.prototype.mulAdd=function(e,t,i){t=[this,t],i=[e,i];return this.curve.endo?this.curve._endoWnafMulAdd(t,i):this.curve._wnafMulAdd(1,t,i,2)},s.prototype.jmulAdd=function(e,t,i){t=[this,t],i=[e,i];return this.curve.endo?this.curve._endoWnafMulAdd(t,i,!0):this.curve._wnafMulAdd(1,t,i,2,!0)},s.prototype.eq=function(e){return this===e||this.inf===e.inf&&(this.inf||0===this.x.cmp(e.x)&&0===this.y.cmp(e.y))},s.prototype.neg=function(e){if(this.inf)return this;var t,i=this.curve.point(this.x,this.y.redNeg());return e&&this.precomputed&&(t=this.precomputed,e=function(e){return e.neg()},i.precomputed={naf:t.naf&&{wnd:t.naf.wnd,points:t.naf.points.map(e)},doubles:t.doubles&&{step:t.doubles.step,points:t.doubles.points.map(e)}}),i},s.prototype.toJ=function(){return this.inf?this.curve.jpoint(null,null,null):this.curve.jpoint(this.x,this.y,this.curve.one)},f(c,d.BasePoint),a.prototype.jpoint=function(e,t,i){return new c(this,e,t,i)},c.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var e=this.z.redInvm(),t=e.redSqr(),i=this.x.redMul(t),e=this.y.redMul(t).redMul(e);return this.curve.point(i,e)},c.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},c.prototype.add=function(e){if(this.isInfinity())return e;if(e.isInfinity())return this;var t=e.z.redSqr(),i=this.z.redSqr(),r=this.x.redMul(t),f=e.x.redMul(i),d=this.y.redMul(t.redMul(e.z)),n=e.y.redMul(i.redMul(this.z)),t=r.redSub(f),i=d.redSub(n);if(0===t.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();f=t.redSqr(),n=f.redMul(t),r=r.redMul(f),f=i.redSqr().redIAdd(n).redISub(r).redISub(r),n=i.redMul(r.redISub(f)).redISub(d.redMul(n)),t=this.z.redMul(e.z).redMul(t);return this.curve.jpoint(f,n,t)},c.prototype.mixedAdd=function(e){if(this.isInfinity())return e.toJ();if(e.isInfinity())return this;var t=this.z.redSqr(),i=this.x,r=e.x.redMul(t),f=this.y,d=e.y.redMul(t).redMul(this.z),e=i.redSub(r),t=f.redSub(d);if(0===e.cmpn(0))return 0!==t.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();r=e.redSqr(),d=r.redMul(e),i=i.redMul(r),r=t.redSqr().redIAdd(d).redISub(i).redISub(i),d=t.redMul(i.redISub(r)).redISub(f.redMul(d)),e=this.z.redMul(e);return this.curve.jpoint(r,d,e)},c.prototype.dblp=function(e){if(0===e)return this;if(this.isInfinity())return this;if(!e)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var t=this,i=0;i":""},c.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],7:[function(e,t,i){"use strict";var r,f=i,i=e("hash.js"),d=e("./curve"),n=e("./utils").assert;function a(e){"short"===e.type?this.curve=new d.short(e):"edwards"===e.type?this.curve=new d.edwards(e):this.curve=new d.mont(e),this.g=this.curve.g,this.n=this.curve.n,this.hash=e.hash,n(this.g.validate(),"Invalid curve"),n(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function s(t,i){Object.defineProperty(f,t,{configurable:!0,enumerable:!0,get:function(){var e=new a(i);return Object.defineProperty(f,t,{configurable:!0,enumerable:!0,value:e}),e}})}f.PresetCurve=a,s("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:i.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),s("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:i.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),s("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:i.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),s("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:i.sha384,gRed:!1,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"]}),s("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:i.sha512,gRed:!1,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"]}),s("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:i.sha256,gRed:!1,g:["9"]}),s("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:i.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});try{r=e("./precomputed/secp256k1")}catch(e){r=void 0}s("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:i.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",r]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(e,t,i){"use strict";var u=e("bn.js"),b=e("hmac-drbg"),r=e("../utils"),f=e("../curves"),d=e("brorand"),a=r.assert,n=e("./key"),l=e("./signature");function s(e){if(!(this instanceof s))return new s(e);"string"==typeof e&&(a(Object.prototype.hasOwnProperty.call(f,e),"Unknown curve "+e),e=f[e]),e instanceof f.PresetCurve&&(e={curve:e}),this.curve=e.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=e.curve.g,this.g.precompute(e.curve.n.bitLength()+1),this.hash=e.hash||e.curve.hash}(t.exports=s).prototype.keyPair=function(e){return new n(this,e)},s.prototype.keyFromPrivate=function(e,t){return n.fromPrivate(this,e,t)},s.prototype.keyFromPublic=function(e,t){return n.fromPublic(this,e,t)},s.prototype.genKeyPair=function(e){e=e||{};for(var t=new b({hash:this.hash,pers:e.pers,persEnc:e.persEnc||"utf8",entropy:e.entropy||d(this.hash.hmacStrength),entropyEnc:e.entropy&&e.entropyEnc||"utf8",nonce:this.n.toArray()}),i=this.n.byteLength(),r=this.n.sub(new u(2));;){var f=new u(t.generate(i));if(!(0>1;if(0<=n.cmp(this.curve.p.umod(this.curve.n))&&i)throw new Error("Unable to find sencond key candinate");n=i?this.curve.pointFromX(n.add(this.curve.n),e):this.curve.pointFromX(n,e);t=t.r.invm(f),d=f.sub(d).mul(t).umod(f),f=r.mul(t).umod(f);return this.g.mulAdd(d,n,f)},s.prototype.getKeyRecoveryParam=function(e,t,i,r){if(null!==(t=new l(t,r)).recoveryParam)return t.recoveryParam;for(var f,d=0;d<4;d++){try{f=this.recoverPubKey(e,t,d)}catch(e){continue}if(f.eq(i))return d}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(e,t,i){"use strict";var r=e("bn.js"),f=e("../utils").assert;function d(e,t){this.ec=e,this.priv=null,this.pub=null,t.priv&&this._importPrivate(t.priv,t.privEnc),t.pub&&this._importPublic(t.pub,t.pubEnc)}(t.exports=d).fromPublic=function(e,t,i){return t instanceof d?t:new d(e,{pub:t,pubEnc:i})},d.fromPrivate=function(e,t,i){return t instanceof d?t:new d(e,{priv:t,privEnc:i})},d.prototype.validate=function(){var e=this.getPublic();return e.isInfinity()?{result:!1,reason:"Invalid public key"}:e.validate()?e.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(e,t){return"string"==typeof e&&(t=e,e=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),t?this.pub.encode(t,e):this.pub},d.prototype.getPrivate=function(e){return"hex"===e?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(e,t){this.priv=new r(e,t||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(e,t){if(e.x||e.y)return"mont"===this.ec.curve.type?f(e.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||f(e.x&&e.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(e.x,e.y));this.pub=this.ec.curve.decodePoint(e,t)},d.prototype.derive=function(e){return e.validate()||f(e.validate(),"public point not validated"),e.mul(this.priv).getX()},d.prototype.sign=function(e,t,i){return this.ec.sign(e,this,t,i)},d.prototype.verify=function(e,t){return this.ec.verify(e,t,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(e,t,i){"use strict";var f=e("bn.js"),d=e("../utils"),r=d.assert;function n(e,t){if(e instanceof n)return e;this._importDER(e,t)||(r(e.r&&e.s,"Signature without r or s"),this.r=new f(e.r,16),this.s=new f(e.s,16),void 0===e.recoveryParam?this.recoveryParam=null:this.recoveryParam=e.recoveryParam)}function a(){this.place=0}function s(e,t){var i=e[t.place++];if(!(128&i))return i;var r=15&i;if(0==r||4>>=0;return!(f<=127)&&(t.place=n,f)}function c(e){for(var t=0,i=e.length-1;!e[t]&&!(128&e[t+1])&&t>>3);for(e.push(128|i);--i;)e.push(t>>>(i<<3)&255);e.push(t)}}(t.exports=n).prototype._importDER=function(e,t){e=d.toArray(e,t);var i=new a;if(48!==e[i.place++])return!1;var r=s(e,i);if(!1===r)return!1;if(r+i.place!==e.length)return!1;if(2!==e[i.place++])return!1;t=s(e,i);if(!1===t)return!1;r=e.slice(i.place,t+i.place);if(i.place+=t,2!==e[i.place++])return!1;t=s(e,i);if(!1===t)return!1;if(e.length!==t+i.place)return!1;i=e.slice(i.place,t+i.place);if(0===r[0]){if(!(128&r[1]))return!1;r=r.slice(1)}if(0===i[0]){if(!(128&i[1]))return!1;i=i.slice(1)}return this.r=new f(r),this.s=new f(i),!(this.recoveryParam=null)},n.prototype.toDER=function(e){var t=this.r.toArray(),i=this.s.toArray();for(128&t[0]&&(t=[0].concat(t)),128&i[0]&&(i=[0].concat(i)),t=c(t),i=c(i);!(i[0]||128&i[1]);)i=i.slice(1);var r=[2];h(r,t.length),(r=r.concat(t)).push(2),h(r,i.length);t=r.concat(i),r=[48];return h(r,t.length),r=r.concat(t),d.encode(r,e)}},{"../utils":15,"bn.js":16}],11:[function(e,t,i){"use strict";var r=e("hash.js"),f=e("../curves"),d=e("../utils"),n=d.assert,a=d.parseBytes,s=e("./key"),c=e("./signature");function h(e){if(n("ed25519"===e,"only tested with ed25519 so far"),!(this instanceof h))return new h(e);e=f[e].curve,this.curve=e,this.g=e.g,this.g.precompute(e.n.bitLength()+1),this.pointClass=e.point().constructor,this.encodingLength=Math.ceil(e.n.bitLength()/8),this.hash=r.sha512}(t.exports=h).prototype.sign=function(e,t){e=a(e);var i=this.keyFromSecret(t),r=this.hashInt(i.messagePrefix(),e),f=this.g.mul(r),t=this.encodePoint(f),i=this.hashInt(t,i.pubBytes(),e).mul(i.priv()),i=r.add(i).umod(this.curve.n);return this.makeSignature({R:f,S:i,Rencoded:t})},h.prototype.verify=function(e,t,i){e=a(e),t=this.makeSignature(t);var r=this.keyFromPublic(i),i=this.hashInt(t.Rencoded(),r.pubBytes(),e),e=this.g.mul(t.S());return t.R().add(r.pub().mul(i)).eq(e)},h.prototype.hashInt=function(){for(var e=this.hash(),t=0;t>1)-1>1)-s:s,d.isubn(a)):a=0,r[n]=a,d.iushrn(1)}return r},r.getJSF=function(e,t){var i=[[],[]];e=e.clone(),t=t.clone();for(var r,f=0,d=0;0>>26-n&67108863,26<=(n+=24)&&(n-=26,r++);else if("le"===i)for(r=d=0;d>>26-n&67108863,26<=(n+=24)&&(n-=26,r++);return this.strip()},m.prototype._parseHex=function(e,t){this.length=Math.ceil((e.length-t)/6),this.words=new Array(this.length);for(var i,r=0;r>>26-f&4194303,26<=(f+=24)&&(f-=26,d++);r+6!==t&&(i=n(e,t,r+6),this.words[d]|=i<>>26-f&4194303),this.strip()},m.prototype._parseBase=function(e,t,i){this.words=[0];for(var r=0,f=this.length=1;f<=67108863;f*=t)r++;r--,f=f/t|0;for(var d=e.length-i,n=d%r,a=Math.min(d,d-n)+i,s=0,c=i;c"};var u=["","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"],b=[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],l=[0,0,33554432,43046721,16777216,48828125,60466176,40353607,16777216,43046721,1e7,19487171,35831808,62748517,7529536,11390625,16777216,24137569,34012224,47045881,64e6,4084101,5153632,6436343,7962624,9765625,11881376,14348907,17210368,20511149,243e5,28629151,33554432,39135393,45435424,52521875,60466176];function f(e,t,i){i.negative=t.negative^e.negative;var r=e.length+t.length|0,r=(i.length=r)-1|0,f=67108863&(o=(0|e.words[0])*(0|t.words[0])),d=o/67108864|0;i.words[0]=f;for(var n=1;n>>26,s=67108863&d,c=Math.min(n,t.length-1),h=Math.max(0,n-e.length+1);h<=c;h++){var o,u=n-h|0;a+=(o=(0|e.words[u])*(0|t.words[h])+s)/67108864|0,s=67108863&o}i.words[n]=0|s,d=0|a}return 0!==d?i.words[n]=0|d:i.length--,i.strip()}m.prototype.toString=function(e,t){if(t=0|t||1,16===(e=e||10)||"hex"===e){a="";for(var i=0,r=0,f=0;f>>24-i&16777215)||f!==this.length-1?u[6-n.length]+n+a:n+a;26<=(i+=2)&&(i-=26,f--)}for(0!==r&&(a=r.toString(16)+a);a.length%t!=0;)a="0"+a;return a=0!==this.negative?"-"+a:a}if(e===(0|e)&&2<=e&&e<=36){var s=b[e],c=l[e];for(a="",(h=this.clone()).negative=0;!h.isZero();){var h,o=h.modn(c).toString(e);a=(h=h.idivn(c)).isZero()?o+a:u[s-o.length]+o+a}for(this.isZero()&&(a="0"+a);a.length%t!=0;)a="0"+a;return a=0!==this.negative?"-"+a:a}p(!1,"Base should be between 2 and 36")},m.prototype.toNumber=function(){var e=this.words[0];return 2===this.length?e+=67108864*this.words[1]:3===this.length&&1===this.words[2]?e+=4503599627370496+67108864*this.words[1]:2>>=13),64<=t&&(e+=7,t>>>=7),8<=t&&(e+=4,t>>>=4),2<=t&&(e+=2,t>>>=2),e+t},m.prototype._zeroBits=function(e){if(0===e)return 26;var t=e,e=0;return 0==(8191&t)&&(e+=13,t>>>=13),0==(127&t)&&(e+=7,t>>>=7),0==(15&t)&&(e+=4,t>>>=4),0==(3&t)&&(e+=2,t>>>=2),0==(1&t)&&e++,e},m.prototype.bitLength=function(){var e=this.words[this.length-1],e=this._countBits(e);return 26*(this.length-1)+e},m.prototype.zeroBits=function(){if(this.isZero())return 0;for(var e=0,t=0;te.length?this.clone().ior(e):e.clone().ior(this)},m.prototype.uor=function(e){return this.length>e.length?this.clone().iuor(e):e.clone().iuor(this)},m.prototype.iuand=function(e){for(var t=this.length>e.length?e:this,i=0;ie.length?this.clone().iand(e):e.clone().iand(this)},m.prototype.uand=function(e){return this.length>e.length?this.clone().iuand(e):e.clone().iuand(this)},m.prototype.iuxor=function(e){for(var t,i=this.length>e.length?(t=this,e):(t=e,this),r=0;re.length?this.clone().ixor(e):e.clone().ixor(this)},m.prototype.uxor=function(e){return this.length>e.length?this.clone().iuxor(e):e.clone().iuxor(this)},m.prototype.inotn=function(e){p("number"==typeof e&&0<=e);var t=0|Math.ceil(e/26),e=e%26;this._expand(t),0>26-e),this.strip()},m.prototype.notn=function(e){return this.clone().inotn(e)},m.prototype.setn=function(e,t){p("number"==typeof e&&0<=e);var i=e/26|0,e=e%26;return this._expand(1+i),this.words[i]=t?this.words[i]|1<e.length?(i=this,e):(i=e,this);for(var f=0,d=0;d>>26;for(;0!==f&&d>>26;if(this.length=i.length,0!==f)this.words[this.length]=f,this.length++;else if(i!==this)for(;de.length?this.clone().iadd(e):e.clone().iadd(this)},m.prototype.isub=function(e){if(0!==e.negative){e.negative=0;var t=this.iadd(e);return e.negative=1,t._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(e),this.negative=1,this._normSign();var i,r,f=this.cmp(e);if(0===f)return this.negative=0,this.length=1,this.words[0]=0,this;r=0>26,this.words[n]=67108863&t;for(;0!==d&&n>26,this.words[n]=67108863&t;if(0===d&&n>>13,c=0|r[1],h=8191&c,o=c>>>13,u=0|r[2],b=8191&u,l=u>>>13,p=0|r[3],m=8191&p,v=p>>>13,g=0|r[4],y=8191&g,M=g>>>13,w=0|r[5],S=8191&w,_=w>>>13,A=0|r[6],x=8191&A,I=A>>>13,z=0|r[7],q=8191&z,R=z>>>13,k=0|r[8],P=8191&k,j=k>>>13,N=0|r[9],E=8191&N,B=N>>>13,L=0|f[0],O=8191&L,F=L>>>13,T=0|f[1],C=8191&T,Z=T>>>13,J=0|f[2],H=8191&J,D=J>>>13,X=0|f[3],K=8191&X,V=X>>>13,W=0|f[4],U=8191&W,Y=W>>>13,G=0|f[5],Q=8191&G,$=G>>>13,n=0|f[6],c=8191&n,u=n>>>13,p=0|f[7],g=8191&p,w=p>>>13,A=0|f[8],z=8191&A,k=A>>>13,r=0|f[9],N=8191&r,L=r>>>13;i.negative=e.negative^t.negative,i.length=19;var X=(0+Math.imul(a,O)|0)+((8191&(J=Math.imul(a,F)+Math.imul(s,O)|0))<<13)|0,ee=(Math.imul(s,F)+(J>>>13)|0)+(X>>>26)|0;X&=67108863,T=Math.imul(h,O),J=Math.imul(h,F)+Math.imul(o,O)|0,W=Math.imul(o,F);G=(ee+(T+Math.imul(a,C)|0)|0)+((8191&(J=(J+Math.imul(a,Z)|0)+Math.imul(s,C)|0))<<13)|0;ee=((W+Math.imul(s,Z)|0)+(J>>>13)|0)+(G>>>26)|0,G&=67108863,T=Math.imul(b,O),J=Math.imul(b,F)+Math.imul(l,O)|0,W=Math.imul(l,F),T=T+Math.imul(h,C)|0,J=(J+Math.imul(h,Z)|0)+Math.imul(o,C)|0,W=W+Math.imul(o,Z)|0;n=(ee+(T+Math.imul(a,H)|0)|0)+((8191&(J=(J+Math.imul(a,D)|0)+Math.imul(s,H)|0))<<13)|0;ee=((W+Math.imul(s,D)|0)+(J>>>13)|0)+(n>>>26)|0,n&=67108863,T=Math.imul(m,O),J=Math.imul(m,F)+Math.imul(v,O)|0,W=Math.imul(v,F),T=T+Math.imul(b,C)|0,J=(J+Math.imul(b,Z)|0)+Math.imul(l,C)|0,W=W+Math.imul(l,Z)|0,T=T+Math.imul(h,H)|0,J=(J+Math.imul(h,D)|0)+Math.imul(o,H)|0,W=W+Math.imul(o,D)|0;p=(ee+(T+Math.imul(a,K)|0)|0)+((8191&(J=(J+Math.imul(a,V)|0)+Math.imul(s,K)|0))<<13)|0;ee=((W+Math.imul(s,V)|0)+(J>>>13)|0)+(p>>>26)|0,p&=67108863,T=Math.imul(y,O),J=Math.imul(y,F)+Math.imul(M,O)|0,W=Math.imul(M,F),T=T+Math.imul(m,C)|0,J=(J+Math.imul(m,Z)|0)+Math.imul(v,C)|0,W=W+Math.imul(v,Z)|0,T=T+Math.imul(b,H)|0,J=(J+Math.imul(b,D)|0)+Math.imul(l,H)|0,W=W+Math.imul(l,D)|0,T=T+Math.imul(h,K)|0,J=(J+Math.imul(h,V)|0)+Math.imul(o,K)|0,W=W+Math.imul(o,V)|0;A=(ee+(T+Math.imul(a,U)|0)|0)+((8191&(J=(J+Math.imul(a,Y)|0)+Math.imul(s,U)|0))<<13)|0;ee=((W+Math.imul(s,Y)|0)+(J>>>13)|0)+(A>>>26)|0,A&=67108863,T=Math.imul(S,O),J=Math.imul(S,F)+Math.imul(_,O)|0,W=Math.imul(_,F),T=T+Math.imul(y,C)|0,J=(J+Math.imul(y,Z)|0)+Math.imul(M,C)|0,W=W+Math.imul(M,Z)|0,T=T+Math.imul(m,H)|0,J=(J+Math.imul(m,D)|0)+Math.imul(v,H)|0,W=W+Math.imul(v,D)|0,T=T+Math.imul(b,K)|0,J=(J+Math.imul(b,V)|0)+Math.imul(l,K)|0,W=W+Math.imul(l,V)|0,T=T+Math.imul(h,U)|0,J=(J+Math.imul(h,Y)|0)+Math.imul(o,U)|0,W=W+Math.imul(o,Y)|0;f=(ee+(T+Math.imul(a,Q)|0)|0)+((8191&(J=(J+Math.imul(a,$)|0)+Math.imul(s,Q)|0))<<13)|0;ee=((W+Math.imul(s,$)|0)+(J>>>13)|0)+(f>>>26)|0,f&=67108863,T=Math.imul(x,O),J=Math.imul(x,F)+Math.imul(I,O)|0,W=Math.imul(I,F),T=T+Math.imul(S,C)|0,J=(J+Math.imul(S,Z)|0)+Math.imul(_,C)|0,W=W+Math.imul(_,Z)|0,T=T+Math.imul(y,H)|0,J=(J+Math.imul(y,D)|0)+Math.imul(M,H)|0,W=W+Math.imul(M,D)|0,T=T+Math.imul(m,K)|0,J=(J+Math.imul(m,V)|0)+Math.imul(v,K)|0,W=W+Math.imul(v,V)|0,T=T+Math.imul(b,U)|0,J=(J+Math.imul(b,Y)|0)+Math.imul(l,U)|0,W=W+Math.imul(l,Y)|0,T=T+Math.imul(h,Q)|0,J=(J+Math.imul(h,$)|0)+Math.imul(o,Q)|0,W=W+Math.imul(o,$)|0;r=(ee+(T+Math.imul(a,c)|0)|0)+((8191&(J=(J+Math.imul(a,u)|0)+Math.imul(s,c)|0))<<13)|0;ee=((W+Math.imul(s,u)|0)+(J>>>13)|0)+(r>>>26)|0,r&=67108863,T=Math.imul(q,O),J=Math.imul(q,F)+Math.imul(R,O)|0,W=Math.imul(R,F),T=T+Math.imul(x,C)|0,J=(J+Math.imul(x,Z)|0)+Math.imul(I,C)|0,W=W+Math.imul(I,Z)|0,T=T+Math.imul(S,H)|0,J=(J+Math.imul(S,D)|0)+Math.imul(_,H)|0,W=W+Math.imul(_,D)|0,T=T+Math.imul(y,K)|0,J=(J+Math.imul(y,V)|0)+Math.imul(M,K)|0,W=W+Math.imul(M,V)|0,T=T+Math.imul(m,U)|0,J=(J+Math.imul(m,Y)|0)+Math.imul(v,U)|0,W=W+Math.imul(v,Y)|0,T=T+Math.imul(b,Q)|0,J=(J+Math.imul(b,$)|0)+Math.imul(l,Q)|0,W=W+Math.imul(l,$)|0,T=T+Math.imul(h,c)|0,J=(J+Math.imul(h,u)|0)+Math.imul(o,c)|0,W=W+Math.imul(o,u)|0;e=(ee+(T+Math.imul(a,g)|0)|0)+((8191&(J=(J+Math.imul(a,w)|0)+Math.imul(s,g)|0))<<13)|0;ee=((W+Math.imul(s,w)|0)+(J>>>13)|0)+(e>>>26)|0,e&=67108863,T=Math.imul(P,O),J=Math.imul(P,F)+Math.imul(j,O)|0,W=Math.imul(j,F),T=T+Math.imul(q,C)|0,J=(J+Math.imul(q,Z)|0)+Math.imul(R,C)|0,W=W+Math.imul(R,Z)|0,T=T+Math.imul(x,H)|0,J=(J+Math.imul(x,D)|0)+Math.imul(I,H)|0,W=W+Math.imul(I,D)|0,T=T+Math.imul(S,K)|0,J=(J+Math.imul(S,V)|0)+Math.imul(_,K)|0,W=W+Math.imul(_,V)|0,T=T+Math.imul(y,U)|0,J=(J+Math.imul(y,Y)|0)+Math.imul(M,U)|0,W=W+Math.imul(M,Y)|0,T=T+Math.imul(m,Q)|0,J=(J+Math.imul(m,$)|0)+Math.imul(v,Q)|0,W=W+Math.imul(v,$)|0,T=T+Math.imul(b,c)|0,J=(J+Math.imul(b,u)|0)+Math.imul(l,c)|0,W=W+Math.imul(l,u)|0,T=T+Math.imul(h,g)|0,J=(J+Math.imul(h,w)|0)+Math.imul(o,g)|0,W=W+Math.imul(o,w)|0;t=(ee+(T+Math.imul(a,z)|0)|0)+((8191&(J=(J+Math.imul(a,k)|0)+Math.imul(s,z)|0))<<13)|0;ee=((W+Math.imul(s,k)|0)+(J>>>13)|0)+(t>>>26)|0,t&=67108863,T=Math.imul(E,O),J=Math.imul(E,F)+Math.imul(B,O)|0,W=Math.imul(B,F),T=T+Math.imul(P,C)|0,J=(J+Math.imul(P,Z)|0)+Math.imul(j,C)|0,W=W+Math.imul(j,Z)|0,T=T+Math.imul(q,H)|0,J=(J+Math.imul(q,D)|0)+Math.imul(R,H)|0,W=W+Math.imul(R,D)|0,T=T+Math.imul(x,K)|0,J=(J+Math.imul(x,V)|0)+Math.imul(I,K)|0,W=W+Math.imul(I,V)|0,T=T+Math.imul(S,U)|0,J=(J+Math.imul(S,Y)|0)+Math.imul(_,U)|0,W=W+Math.imul(_,Y)|0,T=T+Math.imul(y,Q)|0,J=(J+Math.imul(y,$)|0)+Math.imul(M,Q)|0,W=W+Math.imul(M,$)|0,T=T+Math.imul(m,c)|0,J=(J+Math.imul(m,u)|0)+Math.imul(v,c)|0,W=W+Math.imul(v,u)|0,T=T+Math.imul(b,g)|0,J=(J+Math.imul(b,w)|0)+Math.imul(l,g)|0,W=W+Math.imul(l,w)|0,T=T+Math.imul(h,z)|0,J=(J+Math.imul(h,k)|0)+Math.imul(o,z)|0,W=W+Math.imul(o,k)|0;a=(ee+(T+Math.imul(a,N)|0)|0)+((8191&(J=(J+Math.imul(a,L)|0)+Math.imul(s,N)|0))<<13)|0;ee=((W+Math.imul(s,L)|0)+(J>>>13)|0)+(a>>>26)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