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/dist/elliptic.js b/dist/elliptic.js
index 44987789..01658ecb 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];
}
@@ -2227,23 +2237,42 @@ 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) {
- var delta = msg.byteLength() * 8 - this.n.bitLength();
+EC.prototype._truncateToN = function _truncateToN(msg, truncOnly, bitLength) {
+ var byteLength;
+ if (BN.isBN(msg) || typeof msg === 'number') {
+ msg = new BN(msg, 16);
+ byteLength = msg.byteLength();
+ } else if (typeof msg === 'object') {
+ // BN assumes an array-like input and asserts length
+ byteLength = msg.length;
+ msg = new BN(msg, 16);
+ } else {
+ // BN converts the value to string
+ var str = msg.toString();
+ // HEX encoding
+ byteLength = (str.length + 1) >>> 1;
+ msg = new BN(str, 16);
+ }
+ // Allow overriding
+ if (typeof bitLength !== 'number') {
+ bitLength = byteLength * 8;
+ }
+ var delta = bitLength - this.n.bitLength();
if (delta > 0)
msg = msg.ushrn(delta);
if (!truncOnly && msg.cmp(this.n) >= 0)
@@ -2260,8 +2289,18 @@ EC.prototype.sign = function sign(msg, key, enc, options) {
if (!options)
options = {};
+ if (typeof msg !== 'string' && typeof msg !== 'number' && !BN.isBN(msg)) {
+ assert(typeof msg === 'object' && msg && typeof msg.length === 'number',
+ 'Expected message to be an array-like, a hex string, or a BN instance');
+ assert((msg.length >>> 0) === msg.length); // non-negative 32-bit integer
+ for (var i = 0; i < msg.length; i++) assert((msg[i] & 255) === msg[i]);
+ }
+
key = this.keyFromPrivate(key, enc);
- msg = this._truncateToN(new BN(msg, 16));
+ msg = this._truncateToN(msg, false, options.msgBitLength);
+
+ // Would fail further checks, but let's make the error message clear
+ assert(!msg.isNeg(), 'Can not sign a negative message');
// Zero-extend key to provide enough entropy
var bytes = this.n.byteLength();
@@ -2270,22 +2309,25 @@ EC.prototype.sign = function sign(msg, key, enc, options) {
// Zero-extend nonce to have the same byte size as N
var nonce = msg.toArray('be', bytes);
+ // Recheck nonce to be bijective to msg
+ assert((new BN(nonce)).eq(msg), 'Can not sign message');
+
// Instantiate Hmac_DRBG
var drbg = new HmacDRBG({
hash: this.hash,
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;
@@ -2317,8 +2359,11 @@ EC.prototype.sign = function sign(msg, key, enc, options) {
}
};
-EC.prototype.verify = function verify(msg, signature, key, enc) {
- msg = this._truncateToN(new BN(msg, 16));
+EC.prototype.verify = function verify(msg, signature, key, enc, options) {
+ if (!options)
+ options = {};
+
+ msg = this._truncateToN(msg, false, options.msgBitLength);
key = this.keyFromPublic(key, enc);
signature = new Signature(signature, 'hex');
@@ -2334,9 +2379,10 @@ 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 +2392,7 @@ 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 +2477,7 @@ KeyPair.fromPublic = function fromPublic(ec, pub, enc) {
return new KeyPair(ec, {
pub: pub,
- pubEnc: enc
+ pubEnc: enc,
});
};
@@ -2441,7 +2487,7 @@ KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) {
return new KeyPair(ec, {
priv: priv,
- privEnc: enc
+ privEnc: enc,
});
};
@@ -2508,6 +2554,9 @@ 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();
};
@@ -2516,8 +2565,8 @@ KeyPair.prototype.sign = function sign(msg, enc, options) {
return this.ec.sign(msg, this, enc, options);
};
-KeyPair.prototype.verify = function verify(msg, signature) {
- return this.ec.verify(msg, signature, this);
+KeyPair.prototype.verify = function verify(msg, signature, options) {
+ return this.ec.verify(msg, signature, this, undefined, options);
};
KeyPair.prototype.inspect = function inspect() {
@@ -2566,6 +2615,10 @@ function getLength(buf, p) {
return false;
}
+ if(buf[p.place] === 0x00) {
+ return false;
+ }
+
var val = 0;
for (var i = 0, off = p.place; i < octetLen; i++, off++) {
val <<= 8;
@@ -2614,6 +2667,9 @@ Signature.prototype._importDER = function _importDER(data, enc) {
if (rlen === false) {
return false;
}
+ if ((data[p.place] & 128) !== 0) {
+ return false;
+ }
var r = data.slice(p.place, rlen + p.place);
p.place += rlen;
if (data[p.place++] !== 0x02) {
@@ -2626,6 +2682,9 @@ Signature.prototype._importDER = function _importDER(data, enc) {
if (data.length !== slen + p.place) {
return false;
}
+ if ((data[p.place] & 128) !== 0) {
+ return false;
+ }
var s = data.slice(p.place, slen + p.place);
if (r[0] === 0) {
if (r[1] & 0x80) {
@@ -2710,7 +2769,7 @@ 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 +2793,7 @@ 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 });
};
@@ -2748,6 +2807,9 @@ EDDSA.prototype.sign = function sign(message, secret) {
EDDSA.prototype.verify = function verify(message, sig, pub) {
message = parseBytes(message);
sig = this.makeSignature(sig);
+ if (sig.S().gte(sig.eddsa.curve.n) || sig.S().isNeg()) {
+ return false;
+ }
var key = this.keyFromPublic(pub);
var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message);
var SG = this.g.mul(sig.S());
@@ -2934,9 +2996,10 @@ function Signature(eddsa, sig) {
sig = parseBytes(sig);
if (Array.isArray(sig)) {
+ assert(sig.length === eddsa.encodingLength * 2, 'Signature has invalid size');
sig = {
R: sig.slice(0, eddsa.encodingLength),
- S: sig.slice(eddsa.encodingLength)
+ S: sig.slice(eddsa.encodingLength),
};
}
@@ -2984,779 +3047,779 @@ 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'
+ 'cdd9e13192a00b772ec8f3300c090666b7ff4a18ff5195ac0fbd5cd62bc65a09',
],
[
'e1031be262c7ed1b1dc9227a4a04c017a77f8d4464f3b3852c8acde6e534fd2d',
- '9d7061928940405e6bb6a4176597535af292dd419e1ced79a44f18f29456a00d'
+ '9d7061928940405e6bb6a4176597535af292dd419e1ced79a44f18f29456a00d',
],
[
'feea6cae46d55b530ac2839f143bd7ec5cf8b266a41d6af52d5e688d9094696d',
- 'e57c6b6c97dce1bab06e4e12bf3ecd5c981c8957cc41442d3155debf18090088'
+ 'e57c6b6c97dce1bab06e4e12bf3ecd5c981c8957cc41442d3155debf18090088',
],
[
'da67a91d91049cdcb367be4be6ffca3cfeed657d808583de33fa978bc1ec6cb1',
- '9bacaa35481642bc41f463f7ec9780e5dec7adc508f740a17e9ea8e27a68be1d'
+ '9bacaa35481642bc41f463f7ec9780e5dec7adc508f740a17e9ea8e27a68be1d',
],
[
'53904faa0b334cdda6e000935ef22151ec08d0f7bb11069f57545ccc1a37b7c0',
- '5bc087d0bc80106d88c9eccac20d3c1c13999981e14434699dcb096b022771c8'
+ '5bc087d0bc80106d88c9eccac20d3c1c13999981e14434699dcb096b022771c8',
],
[
'8e7bcd0bd35983a7719cca7764ca906779b53a043a9b8bcaeff959f43ad86047',
- '10b7770b2a3da4b3940310420ca9514579e88e2e47fd68b3ea10047e8460372a'
+ '10b7770b2a3da4b3940310420ca9514579e88e2e47fd68b3ea10047e8460372a',
],
[
'385eed34c1cdff21e6d0818689b81bde71a7f4f18397e6690a841e1599c43862',
- '283bebc3e8ea23f56701de19e9ebf4576b304eec2086dc8cc0458fe5542e5453'
+ '283bebc3e8ea23f56701de19e9ebf4576b304eec2086dc8cc0458fe5542e5453',
],
[
'6f9d9b803ecf191637c73a4413dfa180fddf84a5947fbc9c606ed86c3fac3a7',
- '7c80c68e603059ba69b8e2a30e45c4d47ea4dd2f5c281002d86890603a842160'
+ '7c80c68e603059ba69b8e2a30e45c4d47ea4dd2f5c281002d86890603a842160',
],
[
'3322d401243c4e2582a2147c104d6ecbf774d163db0f5e5313b7e0e742d0e6bd',
- '56e70797e9664ef5bfb019bc4ddaf9b72805f63ea2873af624f3a2e96c28b2a0'
+ '56e70797e9664ef5bfb019bc4ddaf9b72805f63ea2873af624f3a2e96c28b2a0',
],
[
'85672c7d2de0b7da2bd1770d89665868741b3f9af7643397721d74d28134ab83',
- '7c481b9b5b43b2eb6374049bfa62c2e5e77f17fcc5298f44c8e3094f790313a6'
+ '7c481b9b5b43b2eb6374049bfa62c2e5e77f17fcc5298f44c8e3094f790313a6',
],
[
'948bf809b1988a46b06c9f1919413b10f9226c60f668832ffd959af60c82a0a',
- '53a562856dcb6646dc6b74c5d1c3418c6d4dff08c97cd2bed4cb7f88d8c8e589'
+ '53a562856dcb6646dc6b74c5d1c3418c6d4dff08c97cd2bed4cb7f88d8c8e589',
],
[
'6260ce7f461801c34f067ce0f02873a8f1b0e44dfc69752accecd819f38fd8e8',
- 'bc2da82b6fa5b571a7f09049776a1ef7ecd292238051c198c1a84e95b2b4ae17'
+ 'bc2da82b6fa5b571a7f09049776a1ef7ecd292238051c198c1a84e95b2b4ae17',
],
[
'e5037de0afc1d8d43d8348414bbf4103043ec8f575bfdc432953cc8d2037fa2d',
- '4571534baa94d3b5f9f98d09fb990bddbd5f5b03ec481f10e0e5dc841d755bda'
+ '4571534baa94d3b5f9f98d09fb990bddbd5f5b03ec481f10e0e5dc841d755bda',
],
[
'e06372b0f4a207adf5ea905e8f1771b4e7e8dbd1c6a6c5b725866a0ae4fce725',
- '7a908974bce18cfe12a27bb2ad5a488cd7484a7787104870b27034f94eee31dd'
+ '7a908974bce18cfe12a27bb2ad5a488cd7484a7787104870b27034f94eee31dd',
],
[
'213c7a715cd5d45358d0bbf9dc0ce02204b10bdde2a3f58540ad6908d0559754',
- '4b6dad0b5ae462507013ad06245ba190bb4850f5f36a7eeddff2c27534b458f2'
+ '4b6dad0b5ae462507013ad06245ba190bb4850f5f36a7eeddff2c27534b458f2',
],
[
'4e7c272a7af4b34e8dbb9352a5419a87e2838c70adc62cddf0cc3a3b08fbd53c',
- '17749c766c9d0b18e16fd09f6def681b530b9614bff7dd33e0b3941817dcaae6'
+ '17749c766c9d0b18e16fd09f6def681b530b9614bff7dd33e0b3941817dcaae6',
],
[
'fea74e3dbe778b1b10f238ad61686aa5c76e3db2be43057632427e2840fb27b6',
- '6e0568db9b0b13297cf674deccb6af93126b596b973f7b77701d3db7f23cb96f'
+ '6e0568db9b0b13297cf674deccb6af93126b596b973f7b77701d3db7f23cb96f',
],
[
'76e64113f677cf0e10a2570d599968d31544e179b760432952c02a4417bdde39',
- 'c90ddf8dee4e95cf577066d70681f0d35e2a33d2b56d2032b4b1752d1901ac01'
+ 'c90ddf8dee4e95cf577066d70681f0d35e2a33d2b56d2032b4b1752d1901ac01',
],
[
'c738c56b03b2abe1e8281baa743f8f9a8f7cc643df26cbee3ab150242bcbb891',
- '893fb578951ad2537f718f2eacbfbbbb82314eef7880cfe917e735d9699a84c3'
+ '893fb578951ad2537f718f2eacbfbbbb82314eef7880cfe917e735d9699a84c3',
],
[
'd895626548b65b81e264c7637c972877d1d72e5f3a925014372e9f6588f6c14b',
- 'febfaa38f2bc7eae728ec60818c340eb03428d632bb067e179363ed75d7d991f'
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'a6cbc3046bc6a450bac24789fa17115a4c9739ed75f8f21ce441f72e0b90e6ef',
- '21ae7f4680e889bb130619e2c0f95a360ceb573c70603139862afd617fa9b9f'
+ '21ae7f4680e889bb130619e2c0f95a360ceb573c70603139862afd617fa9b9f',
],
[
'347d6d9a02c48927ebfb86c1359b1caf130a3c0267d11ce6344b39f99d43cc38',
- '60ea7f61a353524d1c987f6ecec92f086d565ab687870cb12689ff1e31c74448'
+ '60ea7f61a353524d1c987f6ecec92f086d565ab687870cb12689ff1e31c74448',
],
[
'da6545d2181db8d983f7dcb375ef5866d47c67b1bf31c8cf855ef7437b72656a',
- '49b96715ab6878a79e78f07ce5680c5d6673051b4935bd897fea824b77dc208a'
+ '49b96715ab6878a79e78f07ce5680c5d6673051b4935bd897fea824b77dc208a',
],
[
'c40747cc9d012cb1a13b8148309c6de7ec25d6945d657146b9d5994b8feb1111',
- '5ca560753be2a12fc6de6caf2cb489565db936156b9514e1bb5e83037e0fa2d4'
+ '5ca560753be2a12fc6de6caf2cb489565db936156b9514e1bb5e83037e0fa2d4',
],
[
'4e42c8ec82c99798ccf3a610be870e78338c7f713348bd34c8203ef4037f3502',
- '7571d74ee5e0fb92a7a8b33a07783341a5492144cc54bcc40a94473693606437'
+ '7571d74ee5e0fb92a7a8b33a07783341a5492144cc54bcc40a94473693606437',
],
[
'3775ab7089bc6af823aba2e1af70b236d251cadb0c86743287522a1b3b0dedea',
- 'be52d107bcfa09d8bcb9736a828cfa7fac8db17bf7a76a2c42ad961409018cf7'
+ 'be52d107bcfa09d8bcb9736a828cfa7fac8db17bf7a76a2c42ad961409018cf7',
],
[
'cee31cbf7e34ec379d94fb814d3d775ad954595d1314ba8846959e3e82f74e26',
- '8fd64a14c06b589c26b947ae2bcf6bfa0149ef0be14ed4d80f448a01c43b1c6d'
+ '8fd64a14c06b589c26b947ae2bcf6bfa0149ef0be14ed4d80f448a01c43b1c6d',
],
[
'b4f9eaea09b6917619f6ea6a4eb5464efddb58fd45b1ebefcdc1a01d08b47986',
- '39e5c9925b5a54b07433a4f18c61726f8bb131c012ca542eb24a8ac07200682a'
+ '39e5c9925b5a54b07433a4f18c61726f8bb131c012ca542eb24a8ac07200682a',
],
[
'd4263dfc3d2df923a0179a48966d30ce84e2515afc3dccc1b77907792ebcc60e',
- '62dfaf07a0f78feb30e30d6295853ce189e127760ad6cf7fae164e122a208d54'
+ '62dfaf07a0f78feb30e30d6295853ce189e127760ad6cf7fae164e122a208d54',
],
[
'48457524820fa65a4f8d35eb6930857c0032acc0a4a2de422233eeda897612c4',
- '25a748ab367979d98733c38a1fa1c2e7dc6cc07db2d60a9ae7a76aaa49bd0f77'
+ '25a748ab367979d98733c38a1fa1c2e7dc6cc07db2d60a9ae7a76aaa49bd0f77',
],
[
'dfeeef1881101f2cb11644f3a2afdfc2045e19919152923f367a1767c11cceda',
- 'ecfb7056cf1de042f9420bab396793c0c390bde74b4bbdff16a83ae09a9a7517'
+ 'ecfb7056cf1de042f9420bab396793c0c390bde74b4bbdff16a83ae09a9a7517',
],
[
'6d7ef6b17543f8373c573f44e1f389835d89bcbc6062ced36c82df83b8fae859',
- 'cd450ec335438986dfefa10c57fea9bcc521a0959b2d80bbf74b190dca712d10'
+ 'cd450ec335438986dfefa10c57fea9bcc521a0959b2d80bbf74b190dca712d10',
],
[
'e75605d59102a5a2684500d3b991f2e3f3c88b93225547035af25af66e04541f',
- 'f5c54754a8f71ee540b9b48728473e314f729ac5308b06938360990e2bfad125'
+ 'f5c54754a8f71ee540b9b48728473e314f729ac5308b06938360990e2bfad125',
],
[
'eb98660f4c4dfaa06a2be453d5020bc99a0c2e60abe388457dd43fefb1ed620c',
- '6cb9a8876d9cb8520609af3add26cd20a0a7cd8a9411131ce85f44100099223e'
+ '6cb9a8876d9cb8520609af3add26cd20a0a7cd8a9411131ce85f44100099223e',
],
[
'13e87b027d8514d35939f2e6892b19922154596941888336dc3563e3b8dba942',
- 'fef5a3c68059a6dec5d624114bf1e91aac2b9da568d6abeb2570d55646b8adf1'
+ 'fef5a3c68059a6dec5d624114bf1e91aac2b9da568d6abeb2570d55646b8adf1',
],
[
'ee163026e9fd6fe017c38f06a5be6fc125424b371ce2708e7bf4491691e5764a',
- '1acb250f255dd61c43d94ccc670d0f58f49ae3fa15b96623e5430da0ad6c62b2'
+ '1acb250f255dd61c43d94ccc670d0f58f49ae3fa15b96623e5430da0ad6c62b2',
],
[
'b268f5ef9ad51e4d78de3a750c2dc89b1e626d43505867999932e5db33af3d80',
- '5f310d4b3c99b9ebb19f77d41c1dee018cf0d34fd4191614003e945a1216e423'
+ '5f310d4b3c99b9ebb19f77d41c1dee018cf0d34fd4191614003e945a1216e423',
],
[
'ff07f3118a9df035e9fad85eb6c7bfe42b02f01ca99ceea3bf7ffdba93c4750d',
- '438136d603e858a3a5c440c38eccbaddc1d2942114e2eddd4740d098ced1f0d8'
+ '438136d603e858a3a5c440c38eccbaddc1d2942114e2eddd4740d098ced1f0d8',
],
[
'8d8b9855c7c052a34146fd20ffb658bea4b9f69e0d825ebec16e8c3ce2b526a1',
- 'cdb559eedc2d79f926baf44fb84ea4d44bcf50fee51d7ceb30e2e7f463036758'
+ 'cdb559eedc2d79f926baf44fb84ea4d44bcf50fee51d7ceb30e2e7f463036758',
],
[
'52db0b5384dfbf05bfa9d472d7ae26dfe4b851ceca91b1eba54263180da32b63',
- 'c3b997d050ee5d423ebaf66a6db9f57b3180c902875679de924b69d84a7b375'
+ 'c3b997d050ee5d423ebaf66a6db9f57b3180c902875679de924b69d84a7b375',
],
[
'e62f9490d3d51da6395efd24e80919cc7d0f29c3f3fa48c6fff543becbd43352',
- '6d89ad7ba4876b0b22c2ca280c682862f342c8591f1daf5170e07bfd9ccafa7d'
+ '6d89ad7ba4876b0b22c2ca280c682862f342c8591f1daf5170e07bfd9ccafa7d',
],
[
'7f30ea2476b399b4957509c88f77d0191afa2ff5cb7b14fd6d8e7d65aaab1193',
- 'ca5ef7d4b231c94c3b15389a5f6311e9daff7bb67b103e9880ef4bff637acaec'
+ 'ca5ef7d4b231c94c3b15389a5f6311e9daff7bb67b103e9880ef4bff637acaec',
],
[
'5098ff1e1d9f14fb46a210fada6c903fef0fb7b4a1dd1d9ac60a0361800b7a00',
- '9731141d81fc8f8084d37c6e7542006b3ee1b40d60dfe5362a5b132fd17ddc0'
+ '9731141d81fc8f8084d37c6e7542006b3ee1b40d60dfe5362a5b132fd17ddc0',
],
[
'32b78c7de9ee512a72895be6b9cbefa6e2f3c4ccce445c96b9f2c81e2778ad58',
- 'ee1849f513df71e32efc3896ee28260c73bb80547ae2275ba497237794c8753c'
+ 'ee1849f513df71e32efc3896ee28260c73bb80547ae2275ba497237794c8753c',
],
[
'e2cb74fddc8e9fbcd076eef2a7c72b0ce37d50f08269dfc074b581550547a4f7',
- 'd3aa2ed71c9dd2247a62df062736eb0baddea9e36122d2be8641abcb005cc4a4'
+ 'd3aa2ed71c9dd2247a62df062736eb0baddea9e36122d2be8641abcb005cc4a4',
],
[
'8438447566d4d7bedadc299496ab357426009a35f235cb141be0d99cd10ae3a8',
- 'c4e1020916980a4da5d01ac5e6ad330734ef0d7906631c4f2390426b2edd791f'
+ 'c4e1020916980a4da5d01ac5e6ad330734ef0d7906631c4f2390426b2edd791f',
],
[
'4162d488b89402039b584c6fc6c308870587d9c46f660b878ab65c82c711d67e',
- '67163e903236289f776f22c25fb8a3afc1732f2b84b4e95dbda47ae5a0852649'
+ '67163e903236289f776f22c25fb8a3afc1732f2b84b4e95dbda47ae5a0852649',
],
[
'3fad3fa84caf0f34f0f89bfd2dcf54fc175d767aec3e50684f3ba4a4bf5f683d',
- 'cd1bc7cb6cc407bb2f0ca647c718a730cf71872e7d0d2a53fa20efcdfe61826'
+ 'cd1bc7cb6cc407bb2f0ca647c718a730cf71872e7d0d2a53fa20efcdfe61826',
],
[
'674f2600a3007a00568c1a7ce05d0816c1fb84bf1370798f1c69532faeb1a86b',
- '299d21f9413f33b3edf43b257004580b70db57da0b182259e09eecc69e0d38a5'
+ '299d21f9413f33b3edf43b257004580b70db57da0b182259e09eecc69e0d38a5',
],
[
'd32f4da54ade74abb81b815ad1fb3b263d82d6c692714bcff87d29bd5ee9f08f',
- 'f9429e738b8e53b968e99016c059707782e14f4535359d582fc416910b3eea87'
+ 'f9429e738b8e53b968e99016c059707782e14f4535359d582fc416910b3eea87',
],
[
'30e4e670435385556e593657135845d36fbb6931f72b08cb1ed954f1e3ce3ff6',
- '462f9bce619898638499350113bbc9b10a878d35da70740dc695a559eb88db7b'
+ '462f9bce619898638499350113bbc9b10a878d35da70740dc695a559eb88db7b',
],
[
'be2062003c51cc3004682904330e4dee7f3dcd10b01e580bf1971b04d4cad297',
- '62188bc49d61e5428573d48a74e1c655b1c61090905682a0d5558ed72dccb9bc'
+ '62188bc49d61e5428573d48a74e1c655b1c61090905682a0d5558ed72dccb9bc',
],
[
'93144423ace3451ed29e0fb9ac2af211cb6e84a601df5993c419859fff5df04a',
- '7c10dfb164c3425f5c71a3f9d7992038f1065224f72bb9d1d902a6d13037b47c'
+ '7c10dfb164c3425f5c71a3f9d7992038f1065224f72bb9d1d902a6d13037b47c',
],
[
'b015f8044f5fcbdcf21ca26d6c34fb8197829205c7b7d2a7cb66418c157b112c',
- 'ab8c1e086d04e813744a655b2df8d5f83b3cdc6faa3088c1d3aea1454e3a1d5f'
+ 'ab8c1e086d04e813744a655b2df8d5f83b3cdc6faa3088c1d3aea1454e3a1d5f',
],
[
'd5e9e1da649d97d89e4868117a465a3a4f8a18de57a140d36b3f2af341a21b52',
- '4cb04437f391ed73111a13cc1d4dd0db1693465c2240480d8955e8592f27447a'
+ '4cb04437f391ed73111a13cc1d4dd0db1693465c2240480d8955e8592f27447a',
],
[
'd3ae41047dd7ca065dbf8ed77b992439983005cd72e16d6f996a5316d36966bb',
- 'bd1aeb21ad22ebb22a10f0303417c6d964f8cdd7df0aca614b10dc14d125ac46'
+ 'bd1aeb21ad22ebb22a10f0303417c6d964f8cdd7df0aca614b10dc14d125ac46',
],
[
'463e2763d885f958fc66cdd22800f0a487197d0a82e377b49f80af87c897b065',
- 'bfefacdb0e5d0fd7df3a311a94de062b26b80c61fbc97508b79992671ef7ca7f'
+ 'bfefacdb0e5d0fd7df3a311a94de062b26b80c61fbc97508b79992671ef7ca7f',
],
[
'7985fdfd127c0567c6f53ec1bb63ec3158e597c40bfe747c83cddfc910641917',
- '603c12daf3d9862ef2b25fe1de289aed24ed291e0ec6708703a5bd567f32ed03'
+ '603c12daf3d9862ef2b25fe1de289aed24ed291e0ec6708703a5bd567f32ed03',
],
[
'74a1ad6b5f76e39db2dd249410eac7f99e74c59cb83d2d0ed5ff1543da7703e9',
- 'cc6157ef18c9c63cd6193d83631bbea0093e0968942e8c33d5737fd790e0db08'
+ 'cc6157ef18c9c63cd6193d83631bbea0093e0968942e8c33d5737fd790e0db08',
],
[
'30682a50703375f602d416664ba19b7fc9bab42c72747463a71d0896b22f6da3',
- '553e04f6b018b4fa6c8f39e7f311d3176290d0e0f19ca73f17714d9977a22ff8'
+ '553e04f6b018b4fa6c8f39e7f311d3176290d0e0f19ca73f17714d9977a22ff8',
],
[
'9e2158f0d7c0d5f26c3791efefa79597654e7a2b2464f52b1ee6c1347769ef57',
- '712fcdd1b9053f09003a3481fa7762e9ffd7c8ef35a38509e2fbf2629008373'
+ '712fcdd1b9053f09003a3481fa7762e9ffd7c8ef35a38509e2fbf2629008373',
],
[
'176e26989a43c9cfeba4029c202538c28172e566e3c4fce7322857f3be327d66',
- 'ed8cc9d04b29eb877d270b4878dc43c19aefd31f4eee09ee7b47834c1fa4b1c3'
+ 'ed8cc9d04b29eb877d270b4878dc43c19aefd31f4eee09ee7b47834c1fa4b1c3',
],
[
'75d46efea3771e6e68abb89a13ad747ecf1892393dfc4f1b7004788c50374da8',
- '9852390a99507679fd0b86fd2b39a868d7efc22151346e1a3ca4726586a6bed8'
+ '9852390a99507679fd0b86fd2b39a868d7efc22151346e1a3ca4726586a6bed8',
],
[
'809a20c67d64900ffb698c4c825f6d5f2310fb0451c869345b7319f645605721',
- '9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1'
+ '9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1',
],
[
'1b38903a43f7f114ed4500b4eac7083fdefece1cf29c63528d563446f972c180',
- '4036edc931a60ae889353f77fd53de4a2708b26b6f5da72ad3394119daf408f9'
- ]
- ]
- }
+ '4036edc931a60ae889353f77fd53de4a2708b26b6f5da72ad3394119daf408f9',
+ ],
+ ],
+ },
};
},{}],15:[function(require,module,exports){
@@ -3776,12 +3839,15 @@ utils.encode = minUtils.encode;
// Represent num in a w-NAF form
function getNAF(num, w, bits) {
var naf = new Array(Math.max(num.bitLength(), bits) + 1);
- naf.fill(0);
+ var i;
+ for (i = 0; i < naf.length; i += 1) {
+ naf[i] = 0;
+ }
var ws = 1 << (w + 1);
var k = num.clone();
- for (var i = 0; i < naf.length; i++) {
+ for (i = 0; i < naf.length; i++) {
var z;
var mod = k.andln(ws - 1);
if (k.isOdd()) {
@@ -3806,15 +3872,15 @@ utils.getNAF = getNAF;
function getJSF(k1, k2) {
var jsf = [
[],
- []
+ [],
];
k1 = k1.clone();
k2 = k2.clone();
var d1 = 0;
var 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 +3892,7 @@ 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 +3904,7 @@ 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 +3929,14 @@ 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 +6921,13 @@ 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 +8902,15 @@ utils.encode = function encode(arr, enc) {
},{}],35:[function(require,module,exports){
module.exports={
"name": "elliptic",
- "version": "6.5.3",
+ "version": "6.6.1",
"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 +8932,28 @@ 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..f5d99e35 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 f="function"==typeof require&&require,g=0;g<d.length;g++)e(d[g]);return e}return a}()({1:[function(a,b,c){"use strict";var d=c;d.version=a("../package.json").version,d.utils=a("./elliptic/utils"),d.rand=a("brorand"),d.curve=a("./elliptic/curve"),d.curves=a("./elliptic/curves"),d.ec=a("./elliptic/ec"),d.eddsa=a("./elliptic/eddsa")},{"../package.json":35,"./elliptic/curve":4,"./elliptic/curves":7,"./elliptic/ec":8,"./elliptic/eddsa":11,"./elliptic/utils":15,brorand:17}],2:[function(a,b,c){"use strict";function d(a,b){this.type=a,this.p=new f(b.p,16),this.red=b.prime?f.red(b.prime):f.mont(this.p),this.zero=new f(0).toRed(this.red),this.one=new f(1).toRed(this.red),this.two=new f(2).toRed(this.red),this.n=b.n&&new f(b.n,16),this.g=b.g&&this.pointFromJSON(b.g,b.gRed),this._wnafT1=new Array(4),this._wnafT2=new Array(4),this._wnafT3=new Array(4),this._wnafT4=new Array(4),this._bitLength=this.n?this.n.bitLength():0;var c=this.n&&this.p.div(this.n);!c||c.cmpn(100)>0?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<<c.step+1)-(c.step%2===0?2:1);e/=3;for(var f=[],g=0;g<d.length;g+=c.step){for(var i=0,b=g+c.step-1;b>=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<f.length;g++){var i=f[g];i===m?l=l.mixedAdd(c.points[g]):i===-m&&(l=l.mixedAdd(c.points[g].neg()))}k=k.add(l)}return k.toP()},d.prototype._wnafMul=function(a,b){var c=4,d=a._getNAFPoints(c);c=d.wnd;for(var e=d.points,f=h(b,c,this._bitLength),g=this.jpoint(null,null,null),i=f.length-1;i>=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<d;l++){var m=b[l],n=m._getNAFPoints(a);f[l]=n.wnd,g[l]=n.points}for(var l=d-1;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<k;t++){var u=0|s[0][t],v=0|s[1][t];j[o][t]=r[3*(u+1)+(v+1)],j[p][t]=0,g[o]=q}}else j[o]=h(c[o],f[o],this._bitLength),j[p]=h(c[p],f[p],this._bitLength),k=Math.max(j[o].length,k),k=Math.max(j[p].length,k)}for(var w=this.jpoint(null,null,null),x=this._wnafT4,l=k;l>=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t<d;t++)x[t]=0|j[t][l],0!==x[t]&&(z=!1);if(!z)break;y++,l--}if(l>=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t<d;t++){var m,A=x[t];0!==A&&(A>0?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<d;l++)g[l]=null;return e?w:w.toP()},d.BasePoint=e,e.prototype.eq=function(){throw new Error("Not implemented")},e.prototype.validate=function(){return this.curve.validate(this)},d.prototype.decodePoint=function(a,b){a=g.toArray(a,b);var c=this.p.byteLength();if((4===a[0]||6===a[0]||7===a[0])&&a.length-1===2*c){6===a[0]?j(a[a.length-1]%2===0):7===a[0]&&j(a[a.length-1]%2===1);var d=this.point(a.slice(1,1+c),a.slice(1+c,1+2*c));return d}if((2===a[0]||3===a[0])&&a.length-1===c)return this.pointFromX(a.slice(1,1+c),3===a[0]);throw new Error("Unknown point format")},e.prototype.encodeCompressed=function(a){return this.encode(a,!0)},e.prototype._encode=function(a){var b=this.curve.p.byteLength(),c=this.getX().toArray("be",b);return a?[this.getY().isEven()?2:3].concat(c):[4].concat(c,this.getY().toArray("be",b))},e.prototype.encode=function(a,b){return g.encode(this._encode(b),a)},e.prototype.precompute=function(a){if(this.precomputed)return this;var b={doubles:null,naf:null,beta:null};return b.naf=this._getNAFPoints(8),b.doubles=this._getDoubles(4,a),b.beta=this._getBeta(),this.precomputed=b,this},e.prototype._hasDoubles=function(a){if(!this.precomputed)return!1;var b=this.precomputed.doubles;return!!b&&b.points.length>=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<b;e+=a){for(var f=0;f<a;f++)d=d.dbl();c.push(d)}return{step:a,points:c}},e.prototype._getNAFPoints=function(a){if(this.precomputed&&this.precomputed.naf)return this.precomputed.naf;for(var b=[this],c=(1<<a)-1,d=1===c?null:this.dbl(),e=1;e<c;e++)b[e]=b[e-1].add(d);return{wnd:a,points:b}},e.prototype._getBeta=function(){return null},e.prototype.dblp=function(a){for(var b=this,c=0;c<a;c++)b=b.dbl();return b}},{"../utils":15,"bn.js":16}],3:[function(a,b,c){"use strict";function d(a){this.twisted=1!==(0|a.a),this.mOneA=this.twisted&&(0|a.a)===-1,this.extended=this.mOneA,i.call(this,"edwards",a),this.a=new g(a.a,16).umod(this.red.m),this.a=this.a.toRed(this.red),this.c=new g(a.c,16).toRed(this.red),this.c2=this.c.redSqr(),this.d=new g(a.d,16).toRed(this.red),this.dd=this.d.redAdd(this.d),j(!this.twisted||0===this.c.fromRed().cmpn(1)),this.oneC=1===(0|a.c)}function e(a,b,c,d,e){i.BasePoint.call(this,a,"projective"),null===b&&null===c&&null===d?(this.x=this.curve.zero,this.y=this.curve.one,this.z=this.curve.one,this.t=this.curve.zero,this.zOne=!0):(this.x=new g(b,16),this.y=new g(c,16),this.z=d?new g(d,16):this.curve.one,this.t=e&&new g(e,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.t&&!this.t.red&&(this.t=this.t.toRed(this.curve.red)),this.zOne=this.z===this.curve.one,this.curve.extended&&!this.t&&(this.t=this.x.redMul(this.y),this.zOne||(this.t=this.t.redMul(this.z.redInvm()))))}var f=a("../utils"),g=a("bn.js"),h=a("inherits"),i=a("./base"),j=f.assert;h(d,i),b.exports=d,d.prototype._mulA=function(a){return this.mOneA?a.redNeg():this.a.redMul(a)},d.prototype._mulC=function(a){return this.oneC?a:this.c.redMul(a)},d.prototype.jpoint=function(a,b,c,d){return this.point(a,b,c,d)},d.prototype.pointFromX=function(a,b){a=new g(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr(),d=this.c2.redSub(this.a.redMul(c)),e=this.one.redSub(this.c2.redMul(this.d).redMul(c)),f=d.redMul(e.redInvm()),h=f.redSqrt();if(0!==h.redSqr().redSub(f).cmp(this.zero))throw new Error("invalid point");var i=h.fromRed().isOdd();return(b&&!i||!b&&i)&&(h=h.redNeg()),this.point(a,h)},d.prototype.pointFromY=function(a,b){a=new g(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr(),d=c.redSub(this.c2),e=c.redMul(this.d).redMul(this.c2).redSub(this.a),f=d.redMul(e.redInvm());if(0===f.cmp(this.zero)){if(b)throw new Error("invalid point");return this.point(this.zero,a)}var h=f.redSqrt();if(0!==h.redSqr().redSub(f).cmp(this.zero))throw new Error("invalid point");return h.fromRed().isOdd()!==b&&(h=h.redNeg()),this.point(h,a)},d.prototype.validate=function(a){if(a.isInfinity())return!0;a.normalize();var b=a.x.redSqr(),c=a.y.redSqr(),d=b.redMul(this.a).redAdd(c),e=this.c2.redMul(this.one.redAdd(this.d.redMul(b).redMul(c)));return 0===d.cmp(e)},h(e,i.BasePoint),d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},d.prototype.point=function(a,b,c,d){return new e(this,a,b,c,d)},e.fromJSON=function(a,b){return new e(a,b[0],b[1],b[2])},e.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},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()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},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<a.length;f++){var g=this._endoSplit(b[f]),h=a[f],i=h._getBeta();g.k1.negative&&(g.k1.ineg(),h=h.neg(!0)),g.k2.negative&&(g.k2.ineg(),i=i.neg(!0)),d[2*f]=h,d[2*f+1]=i,e[2*f]=g.k1,e[2*f+1]=g.k2}for(var j=this._wnafMulAdd(1,d,e,2*f,c),k=0;k<2*f;k++)d[k]=null,e[k]=null;return j},i(e,j.BasePoint),d.prototype.point=function(a,b,c){return new e(this,a,b,c)},d.prototype.pointFromJSON=function(a,b){return e.fromJSON(this,a,b)},e.prototype._getBeta=function(){if(this.curve.endo){var a=this.precomputed;if(a&&a.beta)return a.beta;var b=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);if(a){var c=this.curve,d=function(a){return c.point(a.x.redMul(c.endo.beta),a.y)};a.beta=b,b.precomputed={beta:null,naf:a.naf&&{wnd:a.naf.wnd,points:a.naf.points.map(d)},doubles:a.doubles&&{step:a.doubles.step,points:a.doubles.points.map(d)}}}return b}},e.prototype.toJSON=function(){return this.precomputed?[this.x,this.y,this.precomputed&&{doubles:this.precomputed.doubles&&{step:this.precomputed.doubles.step,points:this.precomputed.doubles.points.slice(1)},naf:this.precomputed.naf&&{wnd:this.precomputed.naf.wnd,points:this.precomputed.naf.points.slice(1)}}]:[this.x,this.y]},e.fromJSON=function(a,b,c){function d(b){return a.point(b[0],b[1],c)}"string"==typeof b&&(b=JSON.parse(b));var e=a.point(b[0],b[1],c);if(!b[2])return e;var f=b[2];return e.precomputed={beta:null,doubles:f.doubles&&{step:f.doubles.step,points:[e].concat(f.doubles.points.map(d))},naf:f.naf&&{wnd:f.naf.wnd,points:[e].concat(f.naf.points.map(d))}},e},e.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+">"},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<a;c++)b=b.dbl();return b}for(var d=this.curve.a,e=this.curve.tinv,f=this.x,g=this.y,h=this.z,i=h.redSqr().redSqr(),j=g.redAdd(g),c=0;c<a;c++){var k=f.redSqr(),l=j.redSqr(),m=l.redSqr(),n=k.redAdd(k).redIAdd(k).redIAdd(d.redMul(i)),o=f.redMul(l),p=n.redSqr().redISub(o.redAdd(o)),q=o.redISub(p),r=n.redMul(q);r=r.redIAdd(r).redISub(m);var s=j.redMul(h);c+1<a&&(i=i.redMul(m)),f=p,h=s,j=r}return this.curve.jpoint(f,j.redMul(e),h)},f.prototype.dbl=function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()},f.prototype._zeroDbl=function(){var a,b,c;if(this.zOne){var d=this.x.redSqr(),e=this.y.redSqr(),f=e.redSqr(),g=this.x.redAdd(e).redSqr().redISub(d).redISub(f);g=g.redIAdd(g);var h=d.redAdd(d).redIAdd(d),i=h.redSqr().redISub(g).redISub(g),j=f.redIAdd(f);j=j.redIAdd(j),j=j.redIAdd(j),a=i,b=h.redMul(g.redISub(i)).redISub(j),c=this.y.redAdd(this.y)}else{var k=this.x.redSqr(),l=this.y.redSqr(),m=l.redSqr(),n=this.x.redAdd(l).redSqr().redISub(k).redISub(m);n=n.redIAdd(n);var o=k.redAdd(k).redIAdd(k),p=o.redSqr(),q=m.redIAdd(m);q=q.redIAdd(q),q=q.redIAdd(q),a=p.redISub(n).redISub(n),b=o.redMul(n.redISub(a)).redISub(q),c=this.y.redMul(this.z),c=c.redIAdd(c)}return this.curve.jpoint(a,b,c)},f.prototype._threeDbl=function(){var a,b,c;if(this.zOne){var d=this.x.redSqr(),e=this.y.redSqr(),f=e.redSqr(),g=this.x.redAdd(e).redSqr().redISub(d).redISub(f);g=g.redIAdd(g);var h=d.redAdd(d).redIAdd(d).redIAdd(this.curve.a),i=h.redSqr().redISub(g).redISub(g);a=i;var j=f.redIAdd(f);j=j.redIAdd(j),j=j.redIAdd(j),b=h.redMul(g.redISub(i)).redISub(j),c=this.y.redAdd(this.y)}else{var k=this.z.redSqr(),l=this.y.redSqr(),m=this.x.redMul(l),n=this.x.redSub(k).redMul(this.x.redAdd(k));n=n.redAdd(n).redIAdd(n);var o=m.redIAdd(m);o=o.redIAdd(o);var p=o.redAdd(o);a=n.redSqr().redISub(p),c=this.y.redAdd(this.z).redSqr().redISub(l).redISub(k);var q=l.redSqr();q=q.redIAdd(q),q=q.redIAdd(q),q=q.redIAdd(q),b=n.redMul(o.redISub(a)).redISub(q)}return this.curve.jpoint(a,b,c)},f.prototype._dbl=function(){var a=this.curve.a,b=this.x,c=this.y,d=this.z,e=d.redSqr().redSqr(),f=b.redSqr(),g=c.redSqr(),h=f.redAdd(f).redIAdd(f).redIAdd(a.redMul(e)),i=b.redAdd(b);i=i.redIAdd(i);var j=i.redMul(g),k=h.redSqr().redISub(j.redAdd(j)),l=j.redISub(k),m=g.redSqr();m=m.redIAdd(m),m=m.redIAdd(m),m=m.redIAdd(m);var n=h.redMul(l).redISub(m),o=c.redAdd(c).redMul(d);return this.curve.jpoint(k,n,o)},f.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr(),d=b.redSqr(),e=a.redAdd(a).redIAdd(a),f=e.redSqr(),g=this.x.redAdd(b).redSqr().redISub(a).redISub(d);g=g.redIAdd(g),g=g.redAdd(g).redIAdd(g),g=g.redISub(f);var h=g.redSqr(),i=d.redIAdd(d);i=i.redIAdd(i),i=i.redIAdd(i),i=i.redIAdd(i);var j=e.redIAdd(g).redSqr().redISub(f).redISub(h).redISub(i),k=b.redMul(j);k=k.redIAdd(k),k=k.redIAdd(k);var l=this.x.redMul(h).redISub(k);l=l.redIAdd(l),l=l.redIAdd(l);var m=this.y.redMul(j.redMul(i.redISub(j)).redISub(g.redMul(h)));m=m.redIAdd(m),m=m.redIAdd(m),m=m.redIAdd(m);var n=this.z.redAdd(g).redSqr().redISub(c).redISub(h);return this.curve.jpoint(l,m,n)},f.prototype.mul=function(a,b){return a=new h(a,b),this.curve._wnafMul(this,a)},f.prototype.eq=function(a){if("affine"===a.type)return this.eq(a.toJ());if(this===a)return!0;var b=this.z.redSqr(),c=a.z.redSqr();if(0!==this.x.redMul(c).redISub(a.x.redMul(b)).cmpn(0))return!1;var d=b.redMul(this.z),e=c.redMul(a.z);return 0===this.y.redMul(e).redISub(a.y.redMul(d)).cmpn(0)},f.prototype.eqXToP=function(a){var b=this.z.redSqr(),c=a.toRed(this.curve.red).redMul(b);if(0===this.x.cmp(c))return!0;for(var d=a.clone(),e=this.curve.redN.redMul(b);;){if(d.iadd(this.curve.n),d.cmp(this.curve.p)>=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"<EC JPoint Infinity>":"<EC JPoint x: "+this.x.toString(16,2)+" y: "+this.y.toString(16,2)+" z: "+this.z.toString(16,2)+">"},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"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},{"../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<d;f++,g++)e<<=8,e|=a[g],e>>>=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<c;)b++;return 0===b?a:a.slice(b)}function h(a,b){if(b<128)return void a.push(b);var c=1+(Math.log(b)/Math.LN2>>>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<arguments.length;b++)a.update(arguments[b]);return g.intFromLE(a.digest()).umod(this.curve.n)},d.prototype.keyFromPublic=function(a){return j.fromPublic(this,a)},d.prototype.keyFromSecret=function(a){return j.fromSecret(this,a)},d.prototype.makeSignature=function(a){return a instanceof k?a:new k(this,a)},d.prototype.encodePoint=function(a){var b=a.getY().toArray("le",this.encodingLength);return b[this.encodingLength-1]|=a.getX().isOdd()?128:0,b},d.prototype.decodePoint=function(a){a=g.parseBytes(a);var b=a.length-1,c=a.slice(0,b).concat(a[b]&-129),d=0!==(128&a[b]),e=g.intFromLE(c);return this.curve.pointFromY(e,d)},d.prototype.encodeInt=function(a){return a.toArray("le",this.encodingLength)},d.prototype.decodeInt=function(a){return g.intFromLE(a)},d.prototype.isPoint=function(a){return a instanceof this.pointClass}},{"../curves":7,"../utils":15,"./key":12,"./signature":13,"hash.js":19}],12:[function(a,b,c){"use strict";function d(a,b){this.eddsa=a,this._secret=g(b.secret),a.isPoint(b.pub)?this._pub=b.pub:this._pubBytes=g(b.pub)}var e=a("../utils"),f=e.assert,g=e.parseBytes,h=e.cachedProperty;d.fromPublic=function(a,b){return b instanceof d?b:new d(a,{pub:b})},d.fromSecret=function(a,b){return b instanceof d?b:new d(a,{secret:b})},d.prototype.secret=function(){return this._secret},h(d,"pubBytes",function(){return this.eddsa.encodePoint(this.pub())}),h(d,"pub",function(){return this._pubBytes?this.eddsa.decodePoint(this._pubBytes):this.eddsa.g.mul(this.priv())}),h(d,"privBytes",function(){var a=this.eddsa,b=this.hash(),c=a.encodingLength-1,d=b.slice(0,a.encodingLength);return d[0]&=248,d[c]&=127,d[c]|=64,d}),h(d,"priv",function(){return this.eddsa.decodeInt(this.privBytes())}),h(d,"hash",function(){return this.eddsa.hash().update(this.secret()).digest()}),h(d,"messagePrefix",function(){return this.hash().slice(this.eddsa.encodingLength)}),d.prototype.sign=function(a){return f(this._secret,"KeyPair can only verify"),this.eddsa.sign(a,this)},d.prototype.verify=function(a,b){return this.eddsa.verify(a,b,this)},d.prototype.getSecret=function(a){return f(this._secret,"KeyPair is public only"),e.encode(this.secret(),a)},d.prototype.getPublic=function(a){return e.encode(this.pubBytes(),a)},b.exports=d},{"../utils":15}],13:[function(a,b,c){"use strict";function d(a,b){this.eddsa=a,"object"!=typeof b&&(b=i(b)),Array.isArray(b)&&(b={R:b.slice(0,a.encodingLength),S:b.slice(a.encodingLength)}),g(b.R&&b.S,"Signature without R or S"),a.isPoint(b.R)&&(this._R=b.R),b.S instanceof e&&(this._S=b.S),this._Rencoded=Array.isArray(b.R)?b.R:b.Rencoded,this._Sencoded=Array.isArray(b.S)?b.S:b.Sencoded}var e=a("bn.js"),f=a("../utils"),g=f.assert,h=f.cachedProperty,i=f.parseBytes;h(d,"S",function(){return this.eddsa.decodeInt(this.Sencoded())}),h(d,"R",function(){return this.eddsa.decodePoint(this.Rencoded())}),h(d,"Rencoded",function(){return this.eddsa.encodePoint(this.R())}),h(d,"Sencoded",function(){return this.eddsa.encodeInt(this.S())}),d.prototype.toBytes=function(){return this.Rencoded().concat(this.Sencoded())},d.prototype.toHex=function(){return 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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<e;f++){var g=a.charCodeAt(f)-48;d<<=4,d|=g>=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<f;g++){var h=a.charCodeAt(g)-48;e*=d,e+=h>=49?h-49+10:h>=17?h-17+10:h}return 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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<this.length;e++)this.words[e]=0;var f,g,h=0;if("be"===c)for(e=a.length-1,f=0;e>=0;e-=3)g=a[e]|a[e-1]<<8|a[e-2]<<16,this.words[f]|=g<<h&67108863,this.words[f+1]=g>>>26-h&67108863,h+=24,h>=26&&(h-=26,f++);else 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l=1;for(j=h(a,k,a.length,b),k=0;k<g;k++)l*=b;this.imuln(l),this.words[0]+j<67108864?this.words[0]+=j:this._iaddn(j)}},f.prototype.copy=function(a){a.words=new Array(this.length);for(var b=0;b<this.length;b++)a.words[b]=this.words[b];a.length=this.length,a.negative=this.negative,a.red=this.red},f.prototype.clone=function(){var a=new f(null);return this.copy(a),a},f.prototype._expand=function(a){for(;this.length<a;)this.words[this.length++]=0;return this},f.prototype.strip=function(){for(;this.length>1&&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?"<BN-R: ":"<BN: ")+this.toString(16)+">"};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<this.length;g++){var h=this.words[g],i=(16777215&(h<<e|f)).toString(16);f=h>>>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 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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<a;d++)b[d]=this.revBin(d,c,a);return b},m.prototype.revBin=function(a,b,c){if(0===a||a===c-1)return a;for(var d=0,e=0;e<b;e++)d|=(1&a)<<b-e-1,a>>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g<f;g++)d[g]=b[a[g]],e[g]=c[a[g]]},m.prototype.transform=function(a,b,c,d,e,f){this.permute(f,a,b,c,d,e);for(var g=1;g<e;g<<=1)for(var h=g<<1,i=Math.cos(2*Math.PI/h),j=Math.sin(2*Math.PI/h),k=0;k<e;k+=h)for(var l=i,m=j,n=0;n<g;n++){var o=c[k+n],p=d[k+n],q=c[k+n+g],r=d[k+n+g],s=l*q-m*r;r=l*r+m*q,q=s,c[k+n]=o+q,d[k+n]=p+r,c[k+n+g]=o-q,d[k+n+g]=p-r,n!==h&&(s=i*l-j*m,m=i*m+j*l,l=s)}},m.prototype.guessLen13b=function(a,b){var c=1|Math.max(b,a),d=1&c,e=0;for(c=c/2|0;c;c>>>=1)e++;return 1<<e+1+d},m.prototype.conjugate=function(a,b,c){if(!(c<=1))for(var d=0;d<c/2;d++){var e=a[d];a[d]=a[c-d-1],a[c-d-1]=e,e=b[d],b[d]=-b[c-d-1],b[c-d-1]=-e}},m.prototype.normalize13b=function(a,b){for(var c=0,d=0;d<b/2;d++){var e=8192*Math.round(a[2*d+1]/b)+Math.round(a[2*d]/b)+c;a[d]=67108863&e,c=e<67108864?0:e/67108864|0}return a},m.prototype.convert13b=function(a,b,c,e){for(var f=0,g=0;g<b;g++)f+=0|a[g],c[2*g]=8191&f,f>>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g<e;++g)c[g]=0;d(0===f),d(0===(f&-8192))},m.prototype.stub=function(a){for(var b=new Array(a),c=0;c<a;c++)b[c]=0;return b},m.prototype.mulp=function(a,b,c){var d=2*this.guessLen13b(a.length,b.length),e=this.makeRBT(d),f=this.stub(d),g=new Array(d),h=new Array(d),i=new Array(d),j=new Array(d),k=new Array(d),l=new Array(d),m=c.words;m.length=d,this.convert13b(a.words,a.length,g,d),this.convert13b(b.words,b.length,j,d),this.transform(g,f,h,i,d,e),this.transform(j,f,k,l,d,e);for(var n=0;n<d;n++){var o=h[n]*k[n]-i[n]*l[n];i[n]=h[n]*l[n]+i[n]*k[n],h[n]=o}return this.conjugate(h,i,d),this.transform(h,i,m,f,d,e),this.conjugate(m,f,d),this.normalize13b(m,d),c.negative=a.negative^b.negative,c.length=a.length+b.length,c.strip()},f.prototype.mul=function(a){var b=new f(null);return b.words=new Array(this.length+a.length),this.mulTo(a,b)},f.prototype.mulf=function(a){var b=new f(null);return b.words=new Array(this.length+a.length),l(this,a,b)},f.prototype.imul=function(a){return this.clone().mulTo(a,this)},f.prototype.imuln=function(a){d("number"==typeof a),d(a<67108864);for(var b=0,c=0;c<this.length;c++){var e=(0|this.words[c])*a,f=(67108863&e)+(67108863&b);b>>=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<b.length&&0===b[d];d++,c=c.sqr());if(++d<b.length)for(var e=c.sqr();d<b.length;d++,e=e.sqr())0!==b[d]&&(c=c.mul(e));return c},f.prototype.iushln=function(a){d("number"==typeof a&&a>=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<this.length;b++){var h=this.words[b]&f,i=(0|this.words[b])-h<<c;this.words[b]=i|g,g=h>>>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<e;b++)this.words[b]=0;this.length+=e}return this.strip()},f.prototype.ishln=function(a){return d(0===this.negative),this.iushln(a)},f.prototype.iushrn=function(a,b,c){d("number"==typeof a&&a>=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<<f,i=c;if(e-=g,e=Math.max(0,e),i){for(var j=0;j<g;j++)i.words[j]=this.words[j];i.length=g}if(0===g);else if(this.length>g)for(this.length-=g,j=0;j<this.length;j++)this.words[j]=this.words[j+g];else this.words[0]=0,this.length=1;var k=0;for(j=this.length-1;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<<b;if(this.length<=c)return!1;var f=this.words[c];return!!(f&e)},f.prototype.imaskn=function(a){d("number"==typeof a&&a>=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<<b;this.words[this.length-1]&=e}return this.strip()},f.prototype.maskn=function(a){return this.clone().imaskn(a)},f.prototype.iaddn=function(a){return d("number"==typeof a),d(a<67108864),a<0?this.isubn(-a):0!==this.negative?1===this.length&&(0|this.words[0])<a?(this.words[0]=a-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(a),this.negative=1,this):this._iaddn(a)},f.prototype._iaddn=function(a){this.words[0]+=a;for(var b=0;b<this.length&&this.words[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<this.length&&this.words[b]<0;b++)this.words[b]+=67108864,this.words[b+1]-=1;return this.strip()},f.prototype.addn=function(a){return this.clone().iaddn(a)},f.prototype.subn=function(a){return this.clone().isubn(a)},f.prototype.iabs=function(){return this.negative=0,this},f.prototype.abs=function(){return this.clone().iabs()},f.prototype._ishlnsubmul=function(a,b,c){var e,f=a.length+c;this._expand(f);var g,h=0;for(e=0;e<a.length;e++){g=(0|this.words[e+c])+h;var i=(0|a.words[e])*b;g-=67108863&i,h=(g>>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e<this.length-c;e++)g=(0|this.words[e+c])+h,h=g>>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e<this.length;e++)g=-(0|this.words[e])+h,h=g>>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<i.length;k++)i.words[k]=0}var l=d.clone()._ishlnsubmul(e,1,j);0===l.negative&&(d=l,i&&(i.words[j]=1));for(var m=j-1;m>=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<<b;if(this.length<=c)return this._expand(c+1),this.words[c]|=e,this;for(var f=e,g=c;0!==f&&g<this.length;g++){var h=0|this.words[g];h+=f,f=h>>>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:e<a?-1:1}return 0!==this.negative?0|-c:c},f.prototype.cmp=function(a){if(0!==this.negative&&0===a.negative)return-1;if(0===this.negative&&0!==a.negative)return 1;var b=this.ucmp(a);return 0!==this.negative?0|-b:b},f.prototype.ucmp=function(a){if(this.length>a.length)return 1;if(this.length<a.length)return-1;for(var b=0,c=this.length-1;c>=0;c--){var d=0|this.words[c],e=0|a.words[c];if(d!==e){d<e?b=-1:d>e&&(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=b<this.n?-1:c.ucmp(this.p);return 0===d?(c.words[0]=0,c.length=1):d>0?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<d;e++)b.words[e]=a.words[e];if(b.length=d,a.length<=9)return a.words[0]=0,void(a.length=1);var f=a.words[9];for(b.words[b.length++]=f&c,e=10;e<a.length;e++){var g=0|a.words[e];a.words[e-10]=(g&c)<<4|f>>>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<a.length;c++){var d=0|a.words[c];b+=977*d,a.words[c]=67108863&b,b=64*d+(b/67108864|0)}return 0===a.words[a.length-1]&&(a.length--,0===a.words[a.length-1]&&a.length--),a},e(p,n),e(q,n),e(r,n),r.prototype.imulK=function(a){for(var b=0,c=0;c<a.length;c++){var d=19*(0|a.words[c])+b,e=67108863&d;d>>>=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 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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<b?1:0,j=j+f>>>0,i+=j<f?1:0,j=j+h>>>0,i+=j<h?1:0;var k=a+c+e+g+i;return k>>>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<b?1:0,l=l+f>>>0,k+=l<f?1:0,l=l+h>>>0,k+=l<h?1:0,l=l+j>>>0,k+=l<j?1:0;var m=a+c+e+g+i+k;return m>>>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.V.length;e++)this.K[e]=0,this.V[e]=1;this._update(d),this._reseed=1,this.reseedInterval=281474976710656},d.prototype._hmac=function(){return new e.hmac(this.hash,this.K)},d.prototype._update=function(a){var b=this._hmac().update(this.V).update([0]);a&&(b=b.update(a)),this.K=b.digest(),this.V=this._hmac().update(this.V).digest(),a&&(this.K=this._hmac().update(this.V).update([1]).update(a).digest(),this.V=this._hmac().update(this.V).digest())},d.prototype.reseed=function(a,b,c,d){"string"!=typeof b&&(d=c,c=b,b=null),a=f.toArray(a,b),c=f.toArray(c,d),g(a.length>=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<a;)this.V=this._hmac().update(this.V).digest(),
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d(e,t){this.curve=e,this.type=t,this.precomputed=null}(t.exports=n).prototype.point=function(){throw new Error("Not implemented")},n.prototype.validate=function(){throw new Error("Not implemented")},n.prototype._fixedNafMul=function(e,t){o(e.precomputed);var i=e._getDoubles(),r=x(t,1,this._bitLength),t=(1<<i.step+1)-(i.step%2==0?2:1);t/=3;for(var f,n=[],d=0;d<r.length;d+=i.step){f=0;for(var a=d+i.step-1;d<=a;a--)f=(f<<1)+r[a];n.push(f)}for(var s=this.jpoint(null,null,null),c=this.jpoint(null,null,null),h=t;0<h;h--){for(d=0;d<n.length;d++)(f=n[d])===h?c=c.mixedAdd(i.points[d]):f===-h&&(c=c.mixedAdd(i.points[d].neg()));s=s.add(c)}return s.toP()},n.prototype._wnafMul=function(e,t){for(var i=e._getNAFPoints(4),r=i.wnd,f=i.points,n=x(t,r,this._bitLength),d=this.jpoint(null,null,null),a=n.length-1;0<=a;a--){for(var s=0;0<=a&&0===n[a];a--)s++;if(0<=a&&s++,d=d.dblp(s),a<0)break;var c=n[a];o(0!==c),d="affine"===e.type?0<c?d.mixedAdd(f[c-1>>1]):d.mixedAdd(f[-c-1>>1].neg()):0<c?d.add(f[c-1>>1]):d.add(f[-c-1>>1].neg())}return"affine"===e.type?d.toP():d},n.prototype._wnafMulAdd=function(e,t,i,r,f){for(var n,d=this._wnafT1,a=this._wnafT2,s=this._wnafT3,c=0,h=0;h<r;h++){var o=(n=t[h])._getNAFPoints(e);d[h]=o.wnd,a[h]=o.points}for(h=r-1;1<=h;h-=2){var u=h-1,b=h;if(1===d[u]&&1===d[b]){var l=[t[u],null,null,t[b]];0===t[u].y.cmp(t[b].y)?(l[1]=t[u].add(t[b]),l[2]=t[u].toJ().mixedAdd(t[b].neg())):0===t[u].y.cmp(t[b].y.redNeg())?(l[1]=t[u].toJ().mixedAdd(t[b]),l[2]=t[u].add(t[b].neg())):(l[1]=t[u].toJ().mixedAdd(t[b]),l[2]=t[u].toJ().mixedAdd(t[b].neg()));var p=[-3,-1,-5,-7,0,7,5,1,3],m=I(i[u],i[b]),c=Math.max(m[0].length,c);for(s[u]=new Array(c),s[b]=new Array(c),_=0;_<c;_++){var v=0|m[0][_],g=0|m[1][_];s[u][_]=p[3*(1+v)+(1+g)],s[b][_]=0,a[u]=l}}else s[u]=x(i[u],d[u],this._bitLength),s[b]=x(i[b],d[b],this._bitLength),c=Math.max(s[u].length,c),c=Math.max(s[b].length,c)}var y=this.jpoint(null,null,null),M=this._wnafT4;for(h=c;0<=h;h--){for(var w=0;0<=h;){for(var S=!0,_=0;_<r;_++)M[_]=0|s[_][h],0!==M[_]&&(S=!1);if(!S)break;w++,h--}if(0<=h&&w++,y=y.dblp(w),h<0)break;for(_=0;_<r;_++){var A=M[_];0!==A&&(0<A?n=a[_][A-1>>1]:A<0&&(n=a[_][-A-1>>1].neg()),y="affine"===n.type?y.mixedAdd(n):y.add(n))}}for(h=0;h<r;h++)a[h]=null;return f?y:y.toP()},(n.BasePoint=d).prototype.eq=function(){throw new Error("Not implemented")},d.prototype.validate=function(){return this.curve.validate(this)},n.prototype.decodePoint=function(e,t){e=f.toArray(e,t);t=this.p.byteLength();if((4===e[0]||6===e[0]||7===e[0])&&e.length-1==2*t)return 6===e[0]?o(e[e.length-1]%2==0):7===e[0]&&o(e[e.length-1]%2==1),this.point(e.slice(1,1+t),e.slice(1+t,1+2*t));if((2===e[0]||3===e[0])&&e.length-1===t)return this.pointFromX(e.slice(1,1+t),3===e[0]);throw new Error("Unknown point format")},d.prototype.encodeCompressed=function(e){return this.encode(e,!0)},d.prototype._encode=function(e){var t=this.curve.p.byteLength(),i=this.getX().toArray("be",t);return e?[this.getY().isEven()?2:3].concat(i):[4].concat(i,this.getY().toArray("be",t))},d.prototype.encode=function(e,t){return f.encode(this._encode(t),e)},d.prototype.precompute=function(e){if(this.precomputed)return this;var t={doubles:null,naf:null,beta:null};return t.naf=this._getNAFPoints(8),t.doubles=this._getDoubles(4,e),t.beta=this._getBeta(),this.precomputed=t,this},d.prototype._hasDoubles=function(e){if(!this.precomputed)return!1;var t=this.precomputed.doubles;return!!t&&t.points.length>=Math.ceil((e.bitLength()+1)/t.step)},d.prototype._getDoubles=function(e,t){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var i=[this],r=this,f=0;f<t;f+=e){for(var n=0;n<e;n++)r=r.dbl();i.push(r)}return{step:e,points:i}},d.prototype._getNAFPoints=function(e){if(this.precomputed&&this.precomputed.naf)return this.precomputed.naf;for(var t=[this],i=(1<<e)-1,r=1==i?null:this.dbl(),f=1;f<i;f++)t[f]=t[f-1].add(r);return{wnd:e,points:t}},d.prototype._getBeta=function(){return null},d.prototype.dblp=function(e){for(var t=this,i=0;i<e;i++)t=t.dbl();return t}},{"../utils":15,"bn.js":16}],3:[function(e,t,i){"use strict";var r=e("../utils"),n=e("bn.js"),f=e("inherits"),d=e("./base"),a=r.assert;function s(e){this.twisted=1!=(0|e.a),this.mOneA=this.twisted&&-1==(0|e.a),this.extended=this.mOneA,d.call(this,"edwards",e),this.a=new n(e.a,16).umod(this.red.m),this.a=this.a.toRed(this.red),this.c=new n(e.c,16).toRed(this.red),this.c2=this.c.redSqr(),this.d=new n(e.d,16).toRed(this.red),this.dd=this.d.redAdd(this.d),a(!this.twisted||0===this.c.fromRed().cmpn(1)),this.oneC=1==(0|e.c)}function c(e,t,i,r,f){d.BasePoint.call(this,e,"projective"),null===t&&null===i&&null===r?(this.x=this.curve.zero,this.y=this.curve.one,this.z=this.curve.one,this.t=this.curve.zero,this.zOne=!0):(this.x=new n(t,16),this.y=new n(i,16),this.z=r?new n(r,16):this.curve.one,this.t=f&&new n(f,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.t&&!this.t.red&&(this.t=this.t.toRed(this.curve.red)),this.zOne=this.z===this.curve.one,this.curve.extended&&!this.t&&(this.t=this.x.redMul(this.y),this.zOne||(this.t=this.t.redMul(this.z.redInvm()))))}f(s,d),(t.exports=s).prototype._mulA=function(e){return this.mOneA?e.redNeg():this.a.redMul(e)},s.prototype._mulC=function(e){return this.oneC?e:this.c.redMul(e)},s.prototype.jpoint=function(e,t,i,r){return this.point(e,t,i,r)},s.prototype.pointFromX=function(e,t){var i=(e=!(e=new n(e,16)).red?e.toRed(this.red):e).redSqr(),r=this.c2.redSub(this.a.redMul(i)),i=this.one.redSub(this.c2.redMul(this.d).redMul(i)),r=r.redMul(i.redInvm()),i=r.redSqrt();if(0!==i.redSqr().redSub(r).cmp(this.zero))throw new Error("invalid point");r=i.fromRed().isOdd();return(t&&!r||!t&&r)&&(i=i.redNeg()),this.point(e,i)},s.prototype.pointFromY=function(e,t){var i=(e=!(e=new n(e,16)).red?e.toRed(this.red):e).redSqr(),r=i.redSub(this.c2),i=i.redMul(this.d).redMul(this.c2).redSub(this.a),r=r.redMul(i.redInvm());if(0===r.cmp(this.zero)){if(t)throw new Error("invalid point");return this.point(this.zero,e)}i=r.redSqrt();if(0!==i.redSqr().redSub(r).cmp(this.zero))throw new Error("invalid point");return i.fromRed().isOdd()!==t&&(i=i.redNeg()),this.point(i,e)},s.prototype.validate=function(e){if(e.isInfinity())return!0;e.normalize();var t=e.x.redSqr(),i=e.y.redSqr(),e=t.redMul(this.a).redAdd(i),i=this.c2.redMul(this.one.redAdd(this.d.redMul(t).redMul(i)));return 0===e.cmp(i)},f(c,d.BasePoint),s.prototype.pointFromJSON=function(e){return c.fromJSON(this,e)},s.prototype.point=function(e,t,i,r){return new c(this,e,t,i,r)},c.fromJSON=function(e,t){return new c(e,t[0],t[1],t[2])},c.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},c.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},c.prototype._extDbl=function(){var e=this.x.redSqr(),t=this.y.redSqr(),i=(i=this.z.redSqr()).redIAdd(i),r=this.curve._mulA(e),f=this.x.redAdd(this.y).redSqr().redISub(e).redISub(t),n=r.redAdd(t),e=n.redSub(i),i=r.redSub(t),r=f.redMul(e),t=n.redMul(i),i=f.redMul(i),n=e.redMul(n);return this.curve.point(r,t,n,i)},c.prototype._projDbl=function(){var e,t,i,r,f,n,d=this.x.redAdd(this.y).redSqr(),a=this.x.redSqr(),s=this.y.redSqr();return n=this.curve.twisted?(f=(i=this.curve._mulA(a)).redAdd(s),this.zOne?(e=d.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(),n=f.redSub(r).redISub(r),e=d.redSub(a).redISub(s).redMul(n),t=f.redMul(i.redSub(s)),f.redMul(n))):(i=a.redAdd(s),r=this.curve._mulC(this.z).redSqr(),n=i.redSub(r).redSub(r),e=this.curve._mulC(d.redISub(i)).redMul(n),t=this.curve._mulC(i).redMul(a.redISub(s)),i.redMul(n)),this.curve.point(e,t,n)},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)),n=i.redSub(t),e=f.redSub(r),f=f.redAdd(r),r=i.redAdd(t),i=n.redMul(e),t=f.redMul(r),r=n.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),n=this.y.redMul(e.y),d=this.curve.d.redMul(f).redMul(n),a=r.redSub(d),d=r.redAdd(d),e=this.x.redAdd(this.y).redMul(e.x.redAdd(e.y)).redISub(f).redISub(n),e=i.redMul(a).redMul(e),d=this.curve.twisted?(t=i.redMul(d).redMul(n.redSub(this.curve._mulA(f))),a.redMul(d)):(t=i.redMul(d).redMul(n.redSub(f)),this.curve._mulC(a).redMul(d));return this.curve.point(e,t,d)},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"),n=e("./base"),d=e("../utils");function a(e){n.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){n.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,n),(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,n.BasePoint),a.prototype.decodePoint=function(e,t){return this.point(d.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()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},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 n=f.length-1;0<=n;n--)0===f[n]?(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"),n=e("./base"),d=r.assert;function a(e){n.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){n.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){n.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,n),(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],d(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,n,d,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}n=v.neg(),d=g;e=r.sqr().add(f.sqr());return 0<=n.sqr().add(d.sqr()).cmp(e)&&(n=t,d=i),r.negative&&(r=r.neg(),f=f.neg()),n.negative&&(n=n.neg(),d=d.neg()),[{a:r,b:f},{a:n,b:d}]},a.prototype._endoSplit=function(e){var t=this.endo.basis,i=t[0],r=t[1],f=r.b.mul(e).divRound(this.n),n=i.b.neg().mul(e).divRound(this.n),d=f.mul(i.a),t=n.mul(r.a),i=f.mul(i.b),r=n.mul(r.b);return{k1:e.sub(d).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,n=0;n<e.length;n++){var d=this._endoSplit(t[n]),a=e[n],s=a._getBeta();d.k1.negative&&(d.k1.ineg(),a=a.neg(!0)),d.k2.negative&&(d.k2.ineg(),s=s.neg(!0)),r[2*n]=a,r[2*n+1]=s,f[2*n]=d.k1,f[2*n+1]=d.k2}for(var i=this._wnafMulAdd(1,r,f,2*n,i),c=0;c<2*n;c++)r[c]=null,f[c]=null;return i},f(s,n.BasePoint),a.prototype.point=function(e,t,i){return new s(this,e,t,i)},a.prototype.pointFromJSON=function(e,t){return s.fromJSON(this,e,t)},s.prototype._getBeta=function(){if(this.curve.endo){var e=this.precomputed;if(e&&e.beta)return e.beta;var t,i,r=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);return e&&(t=this.curve,i=function(e){return t.point(e.x.redMul(t.endo.beta),e.y)},(e.beta=r).precomputed={beta:null,naf:e.naf&&{wnd:e.naf.wnd,points:e.naf.points.map(i)},doubles:e.doubles&&{step:e.doubles.step,points:e.doubles.points.map(i)}}),r}},s.prototype.toJSON=function(){return this.precomputed?[this.x,this.y,this.precomputed&&{doubles:this.precomputed.doubles&&{step:this.precomputed.doubles.step,points:this.precomputed.doubles.points.slice(1)},naf:this.precomputed.naf&&{wnd:this.precomputed.naf.wnd,points:this.precomputed.naf.points.slice(1)}}]:[this.x,this.y]},s.fromJSON=function(t,e,i){"string"==typeof e&&(e=JSON.parse(e));var r=t.point(e[0],e[1],i);if(!e[2])return r;function f(e){return t.point(e[0],e[1],i)}e=e[2];return r.precomputed={beta:null,doubles:e.doubles&&{step:e.doubles.step,points:[r].concat(e.doubles.points.map(f))},naf:e.naf&&{wnd:e.naf.wnd,points:[r].concat(e.naf.points.map(f))}},r},s.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+">"},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,n.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),n=this.y.redMul(t.redMul(e.z)),d=e.y.redMul(i.redMul(this.z)),t=r.redSub(f),i=n.redSub(d);if(0===t.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();f=t.redSqr(),d=f.redMul(t),r=r.redMul(f),f=i.redSqr().redIAdd(d).redISub(r).redISub(r),d=i.redMul(r.redISub(f)).redISub(n.redMul(d)),t=this.z.redMul(e.z).redMul(t);return this.curve.jpoint(f,d,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,n=e.y.redMul(t).redMul(this.z),e=i.redSub(r),t=f.redSub(n);if(0===e.cmpn(0))return 0!==t.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();r=e.redSqr(),n=r.redMul(e),i=i.redMul(r),r=t.redSqr().redIAdd(n).redISub(i).redISub(i),n=t.redMul(i.redISub(r)).redISub(f.redMul(n)),e=this.z.redMul(e);return this.curve.jpoint(r,n,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<e;i++)t=t.dbl();return t}var r=this.curve.a,f=this.curve.tinv,n=this.x,d=this.y,a=this.z,s=a.redSqr().redSqr(),c=d.redAdd(d);for(i=0;i<e;i++){var h=n.redSqr(),o=c.redSqr(),u=o.redSqr(),b=h.redAdd(h).redIAdd(h).redIAdd(r.redMul(s)),h=n.redMul(o),o=b.redSqr().redISub(h.redAdd(h)),h=h.redISub(o),b=(b=b.redMul(h)).redIAdd(b).redISub(u),h=c.redMul(a);i+1<e&&(s=s.redMul(u)),n=o,a=h,c=b}return this.curve.jpoint(n,c.redMul(f),a)},c.prototype.dbl=function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()},c.prototype._zeroDbl=function(){var e,t,i,r,f,n=this.zOne?(i=this.x.redSqr(),e=(r=this.y.redSqr()).redSqr(),f=(f=this.x.redAdd(r).redSqr().redISub(i).redISub(e)).redIAdd(f),r=(t=i.redAdd(i).redIAdd(i)).redSqr().redISub(f).redISub(f),i=(i=(i=e.redIAdd(e)).redIAdd(i)).redIAdd(i),e=r,t=t.redMul(f.redISub(r)).redISub(i),this.y.redAdd(this.y)):(f=this.x.redSqr(),n=(r=this.y.redSqr()).redSqr(),i=(i=this.x.redAdd(r).redSqr().redISub(f).redISub(n)).redIAdd(i),f=(r=f.redAdd(f).redIAdd(f)).redSqr(),n=(n=(n=n.redIAdd(n)).redIAdd(n)).redIAdd(n),e=f.redISub(i).redISub(i),t=r.redMul(i.redISub(e)).redISub(n),(n=this.y.redMul(this.z)).redIAdd(n));return this.curve.jpoint(e,t,n)},c.prototype._threeDbl=function(){var e,t,i,r,f,n,d,a;return this.zOne?(e=this.x.redSqr(),r=(t=this.y.redSqr()).redSqr(),d=(d=this.x.redAdd(t).redSqr().redISub(e).redISub(r)).redIAdd(d),i=f=(a=e.redAdd(e).redIAdd(e).redIAdd(this.curve.a)).redSqr().redISub(d).redISub(d),n=(n=(n=r.redIAdd(r)).redIAdd(n)).redIAdd(n),t=a.redMul(d.redISub(f)).redISub(n),e=this.y.redAdd(this.y)):(r=this.z.redSqr(),a=this.y.redSqr(),d=this.x.redMul(a),f=(f=this.x.redSub(r).redMul(this.x.redAdd(r))).redAdd(f).redIAdd(f),d=(n=(n=d.redIAdd(d)).redIAdd(n)).redAdd(n),i=f.redSqr().redISub(d),e=this.y.redAdd(this.z).redSqr().redISub(a).redISub(r),a=(a=(a=(a=a.redSqr()).redIAdd(a)).redIAdd(a)).redIAdd(a),t=f.redMul(n.redISub(i)).redISub(a)),this.curve.jpoint(i,t,e)},c.prototype._dbl=function(){var e=this.curve.a,t=this.x,i=this.y,r=this.z,f=r.redSqr().redSqr(),n=t.redSqr(),d=i.redSqr(),e=n.redAdd(n).redIAdd(n).redIAdd(e.redMul(f)),f=t.redAdd(t),t=(f=f.redIAdd(f)).redMul(d),f=e.redSqr().redISub(t.redAdd(t)),t=t.redISub(f),d=d.redSqr();d=(d=(d=d.redIAdd(d)).redIAdd(d)).redIAdd(d);d=e.redMul(t).redISub(d),r=i.redAdd(i).redMul(r);return this.curve.jpoint(f,d,r)},c.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var e=this.x.redSqr(),t=this.y.redSqr(),i=this.z.redSqr(),r=t.redSqr(),f=e.redAdd(e).redIAdd(e),n=f.redSqr(),d=this.x.redAdd(t).redSqr().redISub(e).redISub(r),e=(d=(d=(d=d.redIAdd(d)).redAdd(d).redIAdd(d)).redISub(n)).redSqr(),r=r.redIAdd(r);r=(r=(r=r.redIAdd(r)).redIAdd(r)).redIAdd(r);n=f.redIAdd(d).redSqr().redISub(n).redISub(e).redISub(r),t=t.redMul(n);t=(t=t.redIAdd(t)).redIAdd(t);t=this.x.redMul(e).redISub(t);t=(t=t.redIAdd(t)).redIAdd(t);n=this.y.redMul(n.redMul(r.redISub(n)).redISub(d.redMul(e)));n=(n=(n=n.redIAdd(n)).redIAdd(n)).redIAdd(n);e=this.z.redAdd(d).redSqr().redISub(i).redISub(e);return this.curve.jpoint(t,n,e)},c.prototype.mul=function(e,t){return e=new y(e,t),this.curve._wnafMul(this,e)},c.prototype.eq=function(e){if("affine"===e.type)return this.eq(e.toJ());if(this===e)return!0;var t=this.z.redSqr(),i=e.z.redSqr();if(0!==this.x.redMul(i).redISub(e.x.redMul(t)).cmpn(0))return!1;t=t.redMul(this.z),i=i.redMul(e.z);return 0===this.y.redMul(i).redISub(e.y.redMul(t)).cmpn(0)},c.prototype.eqXToP=function(e){var t=this.z.redSqr(),i=e.toRed(this.curve.red).redMul(t);if(0===this.x.cmp(i))return!0;for(var r=e.clone(),f=this.curve.redN.redMul(t);;){if(r.iadd(this.curve.n),0<=r.cmp(this.curve.p))return!1;if(i.redIAdd(f),0===this.x.cmp(i))return!0}},c.prototype.inspect=function(){return this.isInfinity()?"<EC JPoint Infinity>":"<EC JPoint x: "+this.x.toString(16,2)+" y: "+this.y.toString(16,2)+" z: "+this.z.toString(16,2)+">"},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"),n=e("./curve"),d=e("./utils").assert;function a(e){"short"===e.type?this.curve=new n.short(e):"edwards"===e.type?this.curve=new n.edwards(e):this.curve=new n.mont(e),this.g=this.curve.g,this.n=this.curve.n,this.hash=e.hash,d(this.g.validate(),"Invalid curve"),d(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 b=e("bn.js"),l=e("hmac-drbg"),r=e("../utils"),f=e("../curves"),n=e("brorand"),p=r.assert,d=e("./key"),m=e("./signature");function a(e){if(!(this instanceof a))return new a(e);"string"==typeof e&&(p(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=a).prototype.keyPair=function(e){return new d(this,e)},a.prototype.keyFromPrivate=function(e,t){return d.fromPrivate(this,e,t)},a.prototype.keyFromPublic=function(e,t){return d.fromPublic(this,e,t)},a.prototype.genKeyPair=function(e){e=e||{};for(var t=new l({hash:this.hash,pers:e.pers,persEnc:e.persEnc||"utf8",entropy:e.entropy||n(this.hash.hmacStrength),entropyEnc:e.entropy&&e.entropyEnc||"utf8",nonce:this.n.toArray()}),i=this.n.byteLength(),r=this.n.sub(new b(2));;){var f=new b(t.generate(i));if(!(0<f.cmp(r)))return f.iaddn(1),this.keyFromPrivate(f)}},a.prototype._truncateToN=function(e,t,i){var r,f;b.isBN(e)||"number"==typeof e?f=(e=new b(e,16)).byteLength():e="object"==typeof e?(f=e.length,new b(e,16)):(f=(r=e.toString()).length+1>>>1,new b(r,16));i=(i="number"!=typeof i?8*f:i)-this.n.bitLength();return 0<i&&(e=e.ushrn(i)),!t&&0<=e.cmp(this.n)?e.sub(this.n):e},a.prototype.sign=function(e,t,i,r){if("object"==typeof i&&(r=i,i=null),r=r||{},"string"!=typeof e&&"number"!=typeof e&&!b.isBN(e)){p("object"==typeof e&&e&&"number"==typeof e.length,"Expected message to be an array-like, a hex string, or a BN instance"),p(e.length>>>0===e.length);for(var f=0;f<e.length;f++)p((255&e[f])===e[f])}t=this.keyFromPrivate(t,i),e=this._truncateToN(e,!1,r.msgBitLength),p(!e.isNeg(),"Can not sign a negative message");var n=this.n.byteLength(),i=t.getPrivate().toArray("be",n),n=e.toArray("be",n);p(new b(n).eq(e),"Can not sign message");for(var d=new l({hash:this.hash,entropy:i,nonce:n,pers:r.pers,persEnc:r.persEnc||"utf8"}),a=this.n.sub(new b(1)),s=0;;s++){var c=r.k?r.k(s):new b(d.generate(this.n.byteLength()));if(!((c=this._truncateToN(c,!0)).cmpn(1)<=0||0<=c.cmp(a))){var h=this.g.mul(c);if(!h.isInfinity()){var o=h.getX(),u=o.umod(this.n);if(0!==u.cmpn(0)){c=c.invm(this.n).mul(u.mul(t.getPrivate()).iadd(e));if(0!==(c=c.umod(this.n)).cmpn(0)){o=(h.getY().isOdd()?1:0)|(0!==o.cmp(u)?2:0);return r.canonical&&0<c.cmp(this.nh)&&(c=this.n.sub(c),o^=1),new m({r:u,s:c,recoveryParam:o})}}}}}},a.prototype.verify=function(e,t,i,r,f){f=f||{},e=this._truncateToN(e,!1,f.msgBitLength),i=this.keyFromPublic(i,r);r=(t=new m(t,"hex")).r,t=t.s;if(r.cmpn(1)<0||0<=r.cmp(this.n))return!1;if(t.cmpn(1)<0||0<=t.cmp(this.n))return!1;var n,t=t.invm(this.n),e=t.mul(e).umod(this.n),t=t.mul(r).umod(this.n);return this.curve._maxwellTrick?!(n=this.g.jmulAdd(e,i.getPublic(),t)).isInfinity()&&n.eqXToP(r):!(n=this.g.mulAdd(e,i.getPublic(),t)).isInfinity()&&0===n.getX().umod(this.n).cmp(r)},a.prototype.recoverPubKey=function(e,t,i,r){p((3&i)===i,"The recovery param is more than two bits"),t=new m(t,r);var f=this.n,n=new b(e),d=t.r,r=t.s,e=1&i,i=i>>1;if(0<=d.cmp(this.curve.p.umod(this.curve.n))&&i)throw new Error("Unable to find sencond key candinate");d=i?this.curve.pointFromX(d.add(this.curve.n),e):this.curve.pointFromX(d,e);t=t.r.invm(f),n=f.sub(n).mul(t).umod(f),f=r.mul(t).umod(f);return this.g.mulAdd(n,d,f)},a.prototype.getKeyRecoveryParam=function(e,t,i,r){if(null!==(t=new m(t,r)).recoveryParam)return t.recoveryParam;for(var f,n=0;n<4;n++){try{f=this.recoverPubKey(e,t,n)}catch(e){continue}if(f.eq(i))return n}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 n(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=n).fromPublic=function(e,t,i){return t instanceof n?t:new n(e,{pub:t,pubEnc:i})},n.fromPrivate=function(e,t,i){return t instanceof n?t:new n(e,{priv:t,privEnc:i})},n.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"}},n.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},n.prototype.getPrivate=function(e){return"hex"===e?this.priv.toString(16,2):this.priv},n.prototype._importPrivate=function(e,t){this.priv=new r(e,t||16),this.priv=this.priv.umod(this.ec.curve.n)},n.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)},n.prototype.derive=function(e){return e.validate()||f(e.validate(),"public point not validated"),e.mul(this.priv).getX()},n.prototype.sign=function(e,t,i){return this.ec.sign(e,this,t,i)},n.prototype.verify=function(e,t,i){return this.ec.verify(e,t,this,void 0,i)},n.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},{"../utils":15,"bn.js":16}],10:[function(e,t,i){"use strict";var f=e("bn.js"),n=e("../utils"),r=n.assert;function d(e,t){if(e instanceof d)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<r)return!1;if(0===e[t.place])return!1;for(var f=0,n=0,d=t.place;n<r;n++,d++)f<<=8,f|=e[d],f>>>=0;return!(f<=127)&&(t.place=d,f)}function c(e){for(var t=0,i=e.length-1;!e[t]&&!(128&e[t+1])&&t<i;)t++;return 0===t?e:e.slice(t)}function h(e,t){if(t<128)e.push(t);else{var i=1+(Math.log(t)/Math.LN2>>>3);for(e.push(128|i);--i;)e.push(t>>>(i<<3)&255);e.push(t)}}(t.exports=d).prototype._importDER=function(e,t){e=n.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;if(0!=(128&e[i.place]))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;if(0!=(128&e[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)},d.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),n.encode(r,e)}},{"../utils":15,"bn.js":16}],11:[function(e,t,i){"use strict";var r=e("hash.js"),f=e("../curves"),n=e("../utils"),d=n.assert,a=n.parseBytes,s=e("./key"),c=e("./signature");function h(e){if(d("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){if(e=a(e),(t=this.makeSignature(t)).S().gte(t.eddsa.curve.n)||t.S().isNeg())return!1;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<arguments.length;t++)e.update(arguments[t]);return n.intFromLE(e.digest()).umod(this.curve.n)},h.prototype.keyFromPublic=function(e){return s.fromPublic(this,e)},h.prototype.keyFromSecret=function(e){return s.fromSecret(this,e)},h.prototype.makeSignature=function(e){return e instanceof c?e:new c(this,e)},h.prototype.encodePoint=function(e){var t=e.getY().toArray("le",this.encodingLength);return t[this.encodingLength-1]|=e.getX().isOdd()?128:0,t},h.prototype.decodePoint=function(e){var t=(e=n.parseBytes(e)).length-1,i=e.slice(0,t).concat(-129&e[t]),t=0!=(128&e[t]),i=n.intFromLE(i);return this.curve.pointFromY(i,t)},h.prototype.encodeInt=function(e){return e.toArray("le",this.encodingLength)},h.prototype.decodeInt=function(e){return n.intFromLE(e)},h.prototype.isPoint=function(e){return e instanceof this.pointClass}},{"../curves":7,"../utils":15,"./key":12,"./signature":13,"hash.js":19}],12:[function(e,t,i){"use strict";var r=e("../utils"),f=r.assert,n=r.parseBytes,e=r.cachedProperty;function d(e,t){this.eddsa=e,this._secret=n(t.secret),e.isPoint(t.pub)?this._pub=t.pub:this._pubBytes=n(t.pub)}d.fromPublic=function(e,t){return t instanceof d?t:new d(e,{pub:t})},d.fromSecret=function(e,t){return t instanceof d?t:new d(e,{secret:t})},d.prototype.secret=function(){return this._secret},e(d,"pubBytes",function(){return this.eddsa.encodePoint(this.pub())}),e(d,"pub",function(){return this._pubBytes?this.eddsa.decodePoint(this._pubBytes):this.eddsa.g.mul(this.priv())}),e(d,"privBytes",function(){var e=this.eddsa,t=this.hash(),i=e.encodingLength-1,e=t.slice(0,e.encodingLength);return e[0]&=248,e[i]&=127,e[i]|=64,e}),e(d,"priv",function(){return this.eddsa.decodeInt(this.privBytes())}),e(d,"hash",function(){return this.eddsa.hash().update(this.secret()).digest()}),e(d,"messagePrefix",function(){return this.hash().slice(this.eddsa.encodingLength)}),d.prototype.sign=function(e){return f(this._secret,"KeyPair can only verify"),this.eddsa.sign(e,this)},d.prototype.verify=function(e,t){return this.eddsa.verify(e,t,this)},d.prototype.getSecret=function(e){return f(this._secret,"KeyPair is public only"),r.encode(this.secret(),e)},d.prototype.getPublic=function(e){return r.encode(this.pubBytes(),e)},t.exports=d},{"../utils":15}],13:[function(e,t,i){"use strict";var r=e("bn.js"),f=e("../utils"),n=f.assert,e=f.cachedProperty,d=f.parseBytes;function a(e,t){this.eddsa=e,"object"!=typeof t&&(t=d(t)),Array.isArray(t)&&(n(t.length===2*e.encodingLength,"Signature has invalid size"),t={R:t.slice(0,e.encodingLength),S:t.slice(e.encodingLength)}),n(t.R&&t.S,"Signature without R or S"),e.isPoint(t.R)&&(this._R=t.R),t.S instanceof r&&(this._S=t.S),this._Rencoded=Array.isArray(t.R)?t.R:t.Rencoded,this._Sencoded=Array.isArray(t.S)?t.S:t.Sencoded}e(a,"S",function(){return this.eddsa.decodeInt(this.Sencoded())}),e(a,"R",function(){return this.eddsa.decodePoint(this.Rencoded())}),e(a,"Rencoded",function(){return this.eddsa.encodePoint(this.R())}),e(a,"Sencoded",function(){return this.eddsa.encodeInt(this.S())}),a.prototype.toBytes=function(){return this.Rencoded().concat(this.Sencoded())},a.prototype.toHex=function(){return 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strict";var r=i,f=e("bn.js"),i=e("minimalistic-assert"),e=e("minimalistic-crypto-utils");r.assert=i,r.toArray=e.toArray,r.zero2=e.zero2,r.toHex=e.toHex,r.encode=e.encode,r.getNAF=function(e,t,i){for(var r=new Array(Math.max(e.bitLength(),i)+1),f=0;f<r.length;f+=1)r[f]=0;var n=1<<t+1,d=e.clone();for(f=0;f<r.length;f++){var a,s=d.andln(n-1);d.isOdd()?(a=(n>>1)-1<s?(n>>1)-s:s,d.isubn(a)):a=0,r[f]=a,d.iushrn(1)}return r},r.getJSF=function(e,t){var i=[[],[]];e=e.clone(),t=t.clone();for(var r,f=0,n=0;0<e.cmpn(-f)||0<t.cmpn(-n);){var d,a=e.andln(3)+f&3,s=t.andln(3)+n&3;3===s&&(s=-1),d=0==(1&(a=3===a?-1:a))?0:3!==(r=e.andln(7)+f&7)&&5!==r||2!==s?a:-a,i[0].push(d),s=0==(1&s)?0:3!==(r=t.andln(7)+n&7)&&5!==r||2!==a?s:-s,i[1].push(s),2*f===d+1&&(f=1-f),2*n===s+1&&(n=1-n),e.iushrn(1),t.iushrn(1)}return i},r.cachedProperty=function(e,t,i){var r="_"+t;e.prototype[t]=function(){return void 0!==this[r]?this[r]:this[r]=i.call(this)}},r.parseBytes=function(e){return"string"==typeof e?r.toArray(e,"hex"):e},r.intFromLE=function(e){return new f(e,"hex","le")}},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(_,e,t){!function(e,t){"use strict";function p(e,t){if(!e)throw new Error(t||"Assertion failed")}function i(e,t){e.super_=t;function i(){}i.prototype=t.prototype,e.prototype=new i,e.prototype.constructor=e}function m(e,t,i){if(m.isBN(e))return e;this.negative=0,this.words=null,this.length=0,(this.red=null)!==e&&("le"!==t&&"be"!==t||(i=t,t=10),this._init(e||0,t||10,i||"be"))}var r;"object"==typeof e?e.exports=m:t.BN=m,(m.BN=m).wordSize=26;try{r=_("buffer").Buffer}catch(e){}function d(e,t,i){for(var r=0,f=Math.min(e.length,i),n=t;n<f;n++){var d=e.charCodeAt(n)-48;r<<=4,r|=49<=d&&d<=54?d-49+10:17<=d&&d<=22?d-17+10:15&d}return r}function o(e,t,i,r){for(var f=0,n=Math.min(e.length,i),d=t;d<n;d++){var a=e.charCodeAt(d)-48;f*=r,f+=49<=a?a-49+10:17<=a?a-17+10:a}return f}m.isBN=function(e){return e instanceof m||null!==e&&"object"==typeof 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r=0,f=this.length=1;f<=67108863;f*=t)r++;r--,f=f/t|0;for(var n=e.length-i,d=n%r,a=Math.min(n,n-d)+i,s=0,c=i;c<a;c+=r)s=o(e,c,c+r,t),this.imuln(f),this.words[0]+s<67108864?this.words[0]+=s:this._iaddn(s);if(0!=d){for(var h=1,s=o(e,c,e.length,t),c=0;c<d;c++)h*=t;this.imuln(h),this.words[0]+s<67108864?this.words[0]+=s:this._iaddn(s)}},m.prototype.copy=function(e){e.words=new Array(this.length);for(var t=0;t<this.length;t++)e.words[t]=this.words[t];e.length=this.length,e.negative=this.negative,e.red=this.red},m.prototype.clone=function(){var e=new m(null);return this.copy(e),e},m.prototype._expand=function(e){for(;this.length<e;)this.words[this.length++]=0;return this},m.prototype.strip=function(){for(;1<this.length&&0===this.words[this.length-1];)this.length--;return this._normSign()},m.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},m.prototype.inspect=function(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"};var 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a=n>>>26,s=67108863&n,c=Math.min(d,t.length-1),h=Math.max(0,d-e.length+1);h<=c;h++){var o,u=d-h|0;a+=(o=(0|e.words[u])*(0|t.words[h])+s)/67108864|0,s=67108863&o}i.words[d]=0|s,n=0|a}return 0!==n?i.words[d]=0|n: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<this.length;f++){var n=this.words[f],d=(16777215&(n<<i|r)).toString(16),a=0!==(r=n>>>24-i&16777215)||f!==this.length-1?u[6-d.length]+d+a:d+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 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t,i,r;if(0!==this.negative&&0===e.negative)return this.negative=0,t=this.isub(e),this.negative^=1,this._normSign();if(0===this.negative&&0!==e.negative)return e.negative=0,t=this.isub(e),e.negative=1,t._normSign();r=this.length>e.length?(i=this,e):(i=e,this);for(var f=0,n=0;n<r.length;n++)t=(0|i.words[n])+(0|r.words[n])+f,this.words[n]=67108863&t,f=t>>>26;for(;0!==f&&n<i.length;n++)t=(0|i.words[n])+f,this.words[n]=67108863&t,f=t>>>26;if(this.length=i.length,0!==f)this.words[this.length]=f,this.length++;else if(i!==this)for(;n<i.length;n++)this.words[n]=i.words[n];return this},m.prototype.add=function(e){var t;return 0!==e.negative&&0===this.negative?(e.negative=0,t=this.sub(e),e.negative^=1,t):0===e.negative&&0!==this.negative?(this.negative=0,t=e.sub(this),this.negative=1,t):this.length>e.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<f?(i=this,e):(i=e,this);for(var n=0,d=0;d<r.length;d++)n=(t=(0|i.words[d])-(0|r.words[d])+n)>>26,this.words[d]=67108863&t;for(;0!==n&&d<i.length;d++)n=(t=(0|i.words[d])+n)>>26,this.words[d]=67108863&t;if(0===n&&d<i.length&&i!==this)for(;d<i.length;d++)this.words[d]=i.words[d];return this.length=Math.max(this.length,d),i!==this&&(this.negative=1),this.strip()},m.prototype.sub=function(e){return this.clone().isub(e)};var n=function(e,t,i){var r=e.words,f=t.words,n=i.words,d=0|r[0],a=8191&d,s=d>>>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,C=L>>>13,F=0|f[1],T=8191&F,Z=F>>>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,d=0|f[6],c=8191&d,u=d>>>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,C)+Math.imul(s,O)|0))<<13)|0,ee=(Math.imul(s,C)+(J>>>13)|0)+(X>>>26)|0;X&=67108863,F=Math.imul(h,O),J=Math.imul(h,C)+Math.imul(o,O)|0,W=Math.imul(o,C);G=(ee+(F+Math.imul(a,T)|0)|0)+((8191&(J=(J+Math.imul(a,Z)|0)+Math.imul(s,T)|0))<<13)|0;ee=((W+Math.imul(s,Z)|0)+(J>>>13)|0)+(G>>>26)|0,G&=67108863,F=Math.imul(b,O),J=Math.imul(b,C)+Math.imul(l,O)|0,W=Math.imul(l,C),F=F+Math.imul(h,T)|0,J=(J+Math.imul(h,Z)|0)+Math.imul(o,T)|0,W=W+Math.imul(o,Z)|0;d=(ee+(F+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)+(d>>>26)|0,d&=67108863,F=Math.imul(m,O),J=Math.imul(m,C)+Math.imul(v,O)|0,W=Math.imul(v,C),F=F+Math.imul(b,T)|0,J=(J+Math.imul(b,Z)|0)+Math.imul(l,T)|0,W=W+Math.imul(l,Z)|0,F=F+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+(F+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,F=Math.imul(y,O),J=Math.imul(y,C)+Math.imul(M,O)|0,W=Math.imul(M,C),F=F+Math.imul(m,T)|0,J=(J+Math.imul(m,Z)|0)+Math.imul(v,T)|0,W=W+Math.imul(v,Z)|0,F=F+Math.imul(b,H)|0,J=(J+Math.imul(b,D)|0)+Math.imul(l,H)|0,W=W+Math.imul(l,D)|0,F=F+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+(F+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,F=Math.imul(S,O),J=Math.imul(S,C)+Math.imul(_,O)|0,W=Math.imul(_,C),F=F+Math.imul(y,T)|0,J=(J+Math.imul(y,Z)|0)+Math.imul(M,T)|0,W=W+Math.imul(M,Z)|0,F=F+Math.imul(m,H)|0,J=(J+Math.imul(m,D)|0)+Math.imul(v,H)|0,W=W+Math.imul(v,D)|0,F=F+Math.imul(b,K)|0,J=(J+Math.imul(b,V)|0)+Math.imul(l,K)|0,W=W+Math.imul(l,V)|0,F=F+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+(F+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,$)|0)+(J>>>13)|0)+(f>>>26)|0,f&=67108863,F=Math.imul(x,O),J=Math.imul(x,C)+Math.imul(I,O)|0,W=Math.imul(I,C),F=F+Math.imul(S,T)|0,J=(J+Math.imul(S,Z)|0)+Math.imul(_,T)|0,W=W+Math.imul(_,Z)|0,F=F+Math.imul(y,H)|0,J=(J+Math.imul(y,D)|0)+Math.imul(M,H)|0,W=W+Math.imul(M,D)|0,F=F+Math.imul(m,K)|0,J=(J+Math.imul(m,V)|0)+Math.imul(v,K)|0,W=W+Math.imul(v,V)|0,F=F+Math.imul(b,U)|0,J=(J+Math.imul(b,Y)|0)+Math.imul(l,U)|0,W=W+Math.imul(l,Y)|0,F=F+Math.imul(h,Q)|0,J=(J+Math.imul(h,$)|0)+Math.imul(o,Q)|0,W=W+Math.imul(o,$)|0;r=(ee+(F+Math.imul(a,c)|0)|0)+((8191&(J=(J+Math.imul(a,u)|0)+Math.imul(s,c)|0))<<13)|0;ee=((W+Math.imul(s,u)|0)+(J>>>13)|0)+(r>>>26)|0,r&=67108863,F=Math.imul(q,O),J=Math.imul(q,C)+Math.imul(R,O)|0,W=Math.imul(R,C),F=F+Math.imul(x,T)|0,J=(J+Math.imul(x,Z)|0)+Math.imul(I,T)|0,W=W+Math.imul(I,Z)|0,F=F+Math.imul(S,H)|0,J=(J+Math.imul(S,D)|0)+Math.imul(_,H)|0,W=W+Math.imul(_,D)|0,F=F+Math.imul(y,K)|0,J=(J+Math.imul(y,V)|0)+Math.imul(M,K)|0,W=W+Math.imul(M,V)|0,F=F+Math.imul(m,U)|0,J=(J+Math.imul(m,Y)|0)+Math.imul(v,U)|0,W=W+Math.imul(v,Y)|0,F=F+Math.imul(b,Q)|0,J=(J+Math.imul(b,$)|0)+Math.imul(l,Q)|0,W=W+Math.imul(l,$)|0,F=F+Math.imul(h,c)|0,J=(J+Math.imul(h,u)|0)+Math.imul(o,c)|0,W=W+Math.imul(o,u)|0;e=(ee+(F+Math.imul(a,g)|0)|0)+((8191&(J=(J+Math.imul(a,w)|0)+Math.imul(s,g)|0))<<13)|0;ee=((W+Math.imul(s,w)|0)+(J>>>13)|0)+(e>>>26)|0,e&=67108863,F=Math.imul(P,O),J=Math.imul(P,C)+Math.imul(j,O)|0,W=Math.imul(j,C),F=F+Math.imul(q,T)|0,J=(J+Math.imul(q,Z)|0)+Math.imul(R,T)|0,W=W+Math.imul(R,Z)|0,F=F+Math.imul(x,H)|0,J=(J+Math.imul(x,D)|0)+Math.imul(I,H)|0,W=W+Math.imul(I,D)|0,F=F+Math.imul(S,K)|0,J=(J+Math.imul(S,V)|0)+Math.imul(_,K)|0,W=W+Math.imul(_,V)|0,F=F+Math.imul(y,U)|0,J=(J+Math.imul(y,Y)|0)+Math.imul(M,U)|0,W=W+Math.imul(M,Y)|0,F=F+Math.imul(m,Q)|0,J=(J+Math.imul(m,$)|0)+Math.imul(v,Q)|0,W=W+Math.imul(v,$)|0,F=F+Math.imul(b,c)|0,J=(J+Math.imul(b,u)|0)+Math.imul(l,c)|0,W=W+Math.imul(l,u)|0,F=F+Math.imul(h,g)|0,J=(J+Math.imul(h,w)|0)+Math.imul(o,g)|0,W=W+Math.imul(o,w)|0;t=(ee+(F+Math.imul(a,z)|0)|0)+((8191&(J=(J+Math.imul(a,k)|0)+Math.imul(s,z)|0))<<13)|0;ee=((W+Math.imul(s,k)|0)+(J>>>13)|0)+(t>>>26)|0,t&=67108863,F=Math.imul(E,O),J=Math.imul(E,C)+Math.imul(B,O)|0,W=Math.imul(B,C),F=F+Math.imul(P,T)|0,J=(J+Math.imul(P,Z)|0)+Math.imul(j,T)|0,W=W+Math.imul(j,Z)|0,F=F+Math.imul(q,H)|0,J=(J+Math.imul(q,D)|0)+Math.imul(R,H)|0,W=W+Math.imul(R,D)|0,F=F+Math.imul(x,K)|0,J=(J+Math.imul(x,V)|0)+Math.imul(I,K)|0,W=W+Math.imul(I,V)|0,F=F+Math.imul(S,U)|0,J=(J+Math.imul(S,Y)|0)+Math.imul(_,U)|0,W=W+Math.imul(_,Y)|0,F=F+Math.imul(y,Q)|0,J=(J+Math.imul(y,$)|0)+Math.imul(M,Q)|0,W=W+Math.imul(M,$)|0,F=F+Math.imul(m,c)|0,J=(J+Math.imul(m,u)|0)+Math.imul(v,c)|0,W=W+Math.imul(v,u)|0,F=F+Math.imul(b,g)|0,J=(J+Math.imul(b,w)|0)+Math.imul(l,g)|0,W=W+Math.imul(l,w)|0,F=F+Math.imul(h,z)|0,J=(J+Math.imul(h,k)|0)+Math.imul(o,z)|0,W=W+Math.imul(o,k)|0;a=(ee+(F+Math.imul(a,N)|0)|0)+((8191&(J=(J+Math.imul(a,L)|0)+Math.imul(s,N)|0))<<13)|0;ee=((W+Math.imul(s,L)|0)+(J>>>13)|0)+(a>>>26)|0,a&=67108863,F=Math.imul(E,T),J=Math.imul(E,Z)+Math.imul(B,T)|0,W=Math.imul(B,Z),F=F+Math.imul(P,H)|0,J=(J+Math.imul(P,D)|0)+Math.imul(j,H)|0,W=W+Math.imul(j,D)|0,F=F+Math.imul(q,K)|0,J=(J+Math.imul(q,V)|0)+Math.imul(R,K)|0,W=W+Math.imul(R,V)|0,F=F+Math.imul(x,U)|0,J=(J+Math.imul(x,Y)|0)+Math.imul(I,U)|0,W=W+Math.imul(I,Y)|0,F=F+Math.imul(S,Q)|0,J=(J+Math.imul(S,$)|0)+Math.imul(_,Q)|0,W=W+Math.imul(_,$)|0,F=F+Math.imul(y,c)|0,J=(J+Math.imul(y,u)|0)+Math.imul(M,c)|0,W=W+Math.imul(M,u)|0,F=F+Math.imul(m,g)|0,J=(J+Math.imul(m,w)|0)+Math.imul(v,g)|0,W=W+Math.imul(v,w)|0,F=F+Math.imul(b,z)|0,J=(J+Math.imul(b,k)|0)+Math.imul(l,z)|0,W=W+Math.imul(l,k)|0;h=(ee+(F+Math.imul(h,N)|0)|0)+((8191&(J=(J+Math.imul(h,L)|0)+Math.imul(o,N)|0))<<13)|0;ee=((W+Math.imul(o,L)|0)+(J>>>13)|0)+(h>>>26)|0,h&=67108863,F=Math.imul(E,H),J=Math.imul(E,D)+Math.imul(B,H)|0,W=Math.imul(B,D),F=F+Math.imul(P,K)|0,J=(J+Math.imul(P,V)|0)+Math.imul(j,K)|0,W=W+Math.imul(j,V)|0,F=F+Math.imul(q,U)|0,J=(J+Math.imul(q,Y)|0)+Math.imul(R,U)|0,W=W+Math.imul(R,Y)|0,F=F+Math.imul(x,Q)|0,J=(J+Math.imul(x,$)|0)+Math.imul(I,Q)|0,W=W+Math.imul(I,$)|0,F=F+Math.imul(S,c)|0,J=(J+Math.imul(S,u)|0)+Math.imul(_,c)|0,W=W+Math.imul(_,u)|0,F=F+Math.imul(y,g)|0,J=(J+Math.imul(y,w)|0)+Math.imul(M,g)|0,W=W+Math.imul(M,w)|0,F=F+Math.imul(m,z)|0,J=(J+Math.imul(m,k)|0)+Math.imul(v,z)|0,W=W+Math.imul(v,k)|0;b=(ee+(F+Math.imul(b,N)|0)|0)+((8191&(J=(J+Math.imul(b,L)|0)+Math.imul(l,N)|0))<<13)|0;ee=((W+Math.imul(l,L)|0)+(J>>>13)|0)+(b>>>26)|0,b&=67108863,F=Math.imul(E,K),J=Math.imul(E,V)+Math.imul(B,K)|0,W=Math.imul(B,V),F=F+Math.imul(P,U)|0,J=(J+Math.imul(P,Y)|0)+Math.imul(j,U)|0,W=W+Math.imul(j,Y)|0,F=F+Math.imul(q,Q)|0,J=(J+Math.imul(q,$)|0)+Math.imul(R,Q)|0,W=W+Math.imul(R,$)|0,F=F+Math.imul(x,c)|0,J=(J+Math.imul(x,u)|0)+Math.imul(I,c)|0,W=W+Math.imul(I,u)|0,F=F+Math.imul(S,g)|0,J=(J+Math.imul(S,w)|0)+Math.imul(_,g)|0,W=W+Math.imul(_,w)|0,F=F+Math.imul(y,z)|0,J=(J+Math.imul(y,k)|0)+Math.imul(M,z)|0,W=W+Math.imul(M,k)|0;m=(ee+(F+Math.imul(m,N)|0)|0)+((8191&(J=(J+Math.imul(m,L)|0)+Math.imul(v,N)|0))<<13)|0;ee=((W+Math.imul(v,L)|0)+(J>>>13)|0)+(m>>>26)|0,m&=67108863,F=Math.imul(E,U),J=Math.imul(E,Y)+Math.imul(B,U)|0,W=Math.imul(B,Y),F=F+Math.imul(P,Q)|0,J=(J+Math.imul(P,$)|0)+Math.imul(j,Q)|0,W=W+Math.imul(j,$)|0,F=F+Math.imul(q,c)|0,J=(J+Math.imul(q,u)|0)+Math.imul(R,c)|0,W=W+Math.imul(R,u)|0,F=F+Math.imul(x,g)|0,J=(J+Math.imul(x,w)|0)+Math.imul(I,g)|0,W=W+Math.imul(I,w)|0,F=F+Math.imul(S,z)|0,J=(J+Math.imul(S,k)|0)+Math.imul(_,z)|0,W=W+Math.imul(_,k)|0;y=(ee+(F+Math.imul(y,N)|0)|0)+((8191&(J=(J+Math.imul(y,L)|0)+Math.imul(M,N)|0))<<13)|0;ee=((W+Math.imul(M,L)|0)+(J>>>13)|0)+(y>>>26)|0,y&=67108863,F=Math.imul(E,Q),J=Math.imul(E,$)+Math.imul(B,Q)|0,W=Math.imul(B,$),F=F+Math.imul(P,c)|0,J=(J+Math.imul(P,u)|0)+Math.imul(j,c)|0,W=W+Math.imul(j,u)|0,F=F+Math.imul(q,g)|0,J=(J+Math.imul(q,w)|0)+Math.imul(R,g)|0,W=W+Math.imul(R,w)|0,F=F+Math.imul(x,z)|0,J=(J+Math.imul(x,k)|0)+Math.imul(I,z)|0,W=W+Math.imul(I,k)|0;S=(ee+(F+Math.imul(S,N)|0)|0)+((8191&(J=(J+Math.imul(S,L)|0)+Math.imul(_,N)|0))<<13)|0;ee=((W+Math.imul(_,L)|0)+(J>>>13)|0)+(S>>>26)|0,S&=67108863,F=Math.imul(E,c),J=Math.imul(E,u)+Math.imul(B,c)|0,W=Math.imul(B,u),F=F+Math.imul(P,g)|0,J=(J+Math.imul(P,w)|0)+Math.imul(j,g)|0,W=W+Math.imul(j,w)|0,F=F+Math.imul(q,z)|0,J=(J+Math.imul(q,k)|0)+Math.imul(R,z)|0,W=W+Math.imul(R,k)|0;x=(ee+(F+Math.imul(x,N)|0)|0)+((8191&(J=(J+Math.imul(x,L)|0)+Math.imul(I,N)|0))<<13)|0;ee=((W+Math.imul(I,L)|0)+(J>>>13)|0)+(x>>>26)|0,x&=67108863,F=Math.imul(E,g),J=Math.imul(E,w)+Math.imul(B,g)|0,W=Math.imul(B,w),F=F+Math.imul(P,z)|0,J=(J+Math.imul(P,k)|0)+Math.imul(j,z)|0,W=W+Math.imul(j,k)|0;q=(ee+(F+Math.imul(q,N)|0)|0)+((8191&(J=(J+Math.imul(q,L)|0)+Math.imul(R,N)|0))<<13)|0;ee=((W+Math.imul(R,L)|0)+(J>>>13)|0)+(q>>>26)|0,q&=67108863,F=Math.imul(E,z),J=Math.imul(E,k)+Math.imul(B,z)|0,W=Math.imul(B,k);P=(ee+(F+Math.imul(P,N)|0)|0)+((8191&(J=(J+Math.imul(P,L)|0)+Math.imul(j,N)|0))<<13)|0;ee=((W+Math.imul(j,L)|0)+(J>>>13)|0)+(P>>>26)|0,P&=67108863;N=(ee+Math.imul(E,N)|0)+((8191&(J=Math.imul(E,L)+Math.imul(B,N)|0))<<13)|0;return ee=(Math.imul(B,L)+(J>>>13)|0)+(N>>>26)|0,N&=67108863,n[0]=X,n[1]=G,n[2]=d,n[3]=p,n[4]=A,n[5]=f,n[6]=r,n[7]=e,n[8]=t,n[9]=a,n[10]=h,n[11]=b,n[12]=m,n[13]=y,n[14]=S,n[15]=x,n[16]=q,n[17]=P,n[18]=N,0!=ee&&(n[19]=ee,i.length++),i};function a(e,t,i){return(new s).mulp(e,t,i)}function s(e,t){this.x=e,this.y=t}Math.imul||(n=f),m.prototype.mulTo=function(e,t){var i=this.length+e.length,t=(10===this.length&&10===e.length?n:i<63?f:i<1024?function(e,t,i){i.negative=t.negative^e.negative,i.length=e.length+t.length;for(var r=0,f=0,n=0;n<i.length-1;n++){for(var d=f,f=0,a=67108863&r,s=Math.min(n,t.length-1),c=Math.max(0,n-e.length+1);c<=s;c++){var h=n-c,o=(0|e.words[h])*(0|t.words[c]),h=67108863&o,a=67108863&(h=h+a|0);f+=(d=(d=d+(o/67108864|0)|0)+(h>>>26)|0)>>>26,d&=67108863}i.words[n]=a,r=d,d=f}return 0!==r?i.words[n]=r:i.length--,i.strip()}:a)(this,e,t);return t},s.prototype.makeRBT=function(e){for(var t=new Array(e),i=m.prototype._countBits(e)-1,r=0;r<e;r++)t[r]=this.revBin(r,i,e);return t},s.prototype.revBin=function(e,t,i){if(0===e||e===i-1)return e;for(var r=0,f=0;f<t;f++)r|=(1&e)<<t-f-1,e>>=1;return r},s.prototype.permute=function(e,t,i,r,f,n){for(var d=0;d<n;d++)r[d]=t[e[d]],f[d]=i[e[d]]},s.prototype.transform=function(e,t,i,r,f,n){this.permute(n,e,t,i,r,f);for(var d=1;d<f;d<<=1)for(var a=d<<1,s=Math.cos(2*Math.PI/a),c=Math.sin(2*Math.PI/a),h=0;h<f;h+=a)for(var o=s,u=c,b=0;b<d;b++){var l=i[h+b],p=r[h+b],m=o*(g=i[h+b+d])-u*(v=r[h+b+d]),v=o*v+u*g,g=m;i[h+b]=l+g,r[h+b]=p+v,i[h+b+d]=l-g,r[h+b+d]=p-v,b!==a&&(m=s*o-c*u,u=s*u+c*o,o=m)}},s.prototype.guessLen13b=function(e,t){for(var e=1&(r=1|Math.max(t,e)),i=0,r=r/2|0;r;r>>>=1)i++;return 1<<i+1+e},s.prototype.conjugate=function(e,t,i){if(!(i<=1))for(var r=0;r<i/2;r++){var f=e[r];e[r]=e[i-r-1],e[i-r-1]=f,f=t[r],t[r]=-t[i-r-1],t[i-r-1]=-f}},s.prototype.normalize13b=function(e,t){for(var i=0,r=0;r<t/2;r++){var f=8192*Math.round(e[2*r+1]/t)+Math.round(e[2*r]/t)+i;e[r]=67108863&f,i=f<67108864?0:f/67108864|0}return e},s.prototype.convert13b=function(e,t,i,r){for(var f=0,n=0;n<t;n++)f+=0|e[n],i[2*n]=8191&f,f>>>=13,i[2*n+1]=8191&f,f>>>=13;for(n=2*t;n<r;++n)i[n]=0;p(0===f),p(0==(-8192&f))},s.prototype.stub=function(e){for(var t=new Array(e),i=0;i<e;i++)t[i]=0;return t},s.prototype.mulp=function(e,t,i){var r=2*this.guessLen13b(e.length,t.length),f=this.makeRBT(r),n=this.stub(r),d=new Array(r),a=new Array(r),s=new Array(r),c=new Array(r),h=new Array(r),o=new Array(r),u=i.words;u.length=r,this.convert13b(e.words,e.length,d,r),this.convert13b(t.words,t.length,c,r),this.transform(d,n,a,s,r,f),this.transform(c,n,h,o,r,f);for(var b=0;b<r;b++){var l=a[b]*h[b]-s[b]*o[b];s[b]=a[b]*o[b]+s[b]*h[b],a[b]=l}return this.conjugate(a,s,r),this.transform(a,s,u,n,r,f),this.conjugate(u,n,r),this.normalize13b(u,r),i.negative=e.negative^t.negative,i.length=e.length+t.length,i.strip()},m.prototype.mul=function(e){var t=new m(null);return t.words=new Array(this.length+e.length),this.mulTo(e,t)},m.prototype.mulf=function(e){var t=new m(null);return t.words=new Array(this.length+e.length),a(this,e,t)},m.prototype.imul=function(e){return this.clone().mulTo(e,this)},m.prototype.imuln=function(e){p("number"==typeof e),p(e<67108864);for(var t=0,i=0;i<this.length;i++){var r=(0|this.words[i])*e,f=(67108863&r)+(67108863&t);t>>=26,t+=r/67108864|0,t+=f>>>26,this.words[i]=67108863&f}return 0!==t&&(this.words[i]=t,this.length++),this},m.prototype.muln=function(e){return this.clone().imuln(e)},m.prototype.sqr=function(){return this.mul(this)},m.prototype.isqr=function(){return this.imul(this.clone())},m.prototype.pow=function(e){var t=function(e){for(var t=new Array(e.bitLength()),i=0;i<t.length;i++){var r=i/26|0,f=i%26;t[i]=(e.words[r]&1<<f)>>>f}return t}(e);if(0===t.length)return new m(1);for(var i=this,r=0;r<t.length&&0===t[r];r++,i=i.sqr());if(++r<t.length)for(var f=i.sqr();r<t.length;r++,f=f.sqr())0!==t[r]&&(i=i.mul(f));return i},m.prototype.iushln=function(e){p("number"==typeof e&&0<=e);var t=e%26,i=(e-t)/26,r=67108863>>>26-t<<26-t;if(0!=t){for(var f=0,n=0;n<this.length;n++){var d=this.words[n]&r,a=(0|this.words[n])-d<<t;this.words[n]=a|f,f=d>>>26-t}f&&(this.words[n]=f,this.length++)}if(0!=i){for(n=this.length-1;0<=n;n--)this.words[n+i]=this.words[n];for(n=0;n<i;n++)this.words[n]=0;this.length+=i}return this.strip()},m.prototype.ishln=function(e){return p(0===this.negative),this.iushln(e)},m.prototype.iushrn=function(e,t,i){var r;p("number"==typeof e&&0<=e),r=t?(t-t%26)/26:0;var f=e%26,n=Math.min((e-f)/26,this.length),d=67108863^67108863>>>f<<f,a=i;if(r-=n,r=Math.max(0,r),a){for(var s=0;s<n;s++)a.words[s]=this.words[s];a.length=n}if(0!==n)if(this.length>n)for(this.length-=n,s=0;s<this.length;s++)this.words[s]=this.words[s+n];else this.words[0]=0,this.length=1;for(var c=0,s=this.length-1;0<=s&&(0!==c||r<=s);s--){var h=0|this.words[s];this.words[s]=c<<26-f|h>>>f,c=h&d}return a&&0!==c&&(a.words[a.length++]=c),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},m.prototype.ishrn=function(e,t,i){return p(0===this.negative),this.iushrn(e,t,i)},m.prototype.shln=function(e){return this.clone().ishln(e)},m.prototype.ushln=function(e){return this.clone().iushln(e)},m.prototype.shrn=function(e){return this.clone().ishrn(e)},m.prototype.ushrn=function(e){return this.clone().iushrn(e)},m.prototype.testn=function(e){p("number"==typeof e&&0<=e);var t=e%26,e=(e-t)/26,t=1<<t;return!(this.length<=e)&&!!(this.words[e]&t)},m.prototype.imaskn=function(e){p("number"==typeof e&&0<=e);var t=e%26,e=(e-t)/26;return p(0===this.negative,"imaskn works only with positive numbers"),this.length<=e?this:(0!=t&&e++,this.length=Math.min(e,this.length),0!=t&&(t=67108863^67108863>>>t<<t,this.words[this.length-1]&=t),this.strip())},m.prototype.maskn=function(e){return this.clone().imaskn(e)},m.prototype.iaddn=function(e){return p("number"==typeof e),p(e<67108864),e<0?this.isubn(-e):0!==this.negative?(1===this.length&&(0|this.words[0])<e?(this.words[0]=e-(0|this.words[0]),this.negative=0):(this.negative=0,this.isubn(e),this.negative=1),this):this._iaddn(e)},m.prototype._iaddn=function(e){this.words[0]+=e;for(var t=0;t<this.length&&67108864<=this.words[t];t++)this.words[t]-=67108864,t===this.length-1?this.words[t+1]=1:this.words[t+1]++;return this.length=Math.max(this.length,t+1),this},m.prototype.isubn=function(e){if(p("number"==typeof e),p(e<67108864),e<0)return this.iaddn(-e);if(0!==this.negative)return this.negative=0,this.iaddn(e),this.negative=1,this;if(this.words[0]-=e,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var t=0;t<this.length&&this.words[t]<0;t++)this.words[t]+=67108864,--this.words[t+1];return this.strip()},m.prototype.addn=function(e){return this.clone().iaddn(e)},m.prototype.subn=function(e){return this.clone().isubn(e)},m.prototype.iabs=function(){return this.negative=0,this},m.prototype.abs=function(){return this.clone().iabs()},m.prototype._ishlnsubmul=function(e,t,i){var r,f=e.length+i;this._expand(f);for(var n=0,d=0;d<e.length;d++){r=(0|this.words[d+i])+n;var a=(0|e.words[d])*t,n=((r-=67108863&a)>>26)-(a/67108864|0);this.words[d+i]=67108863&r}for(;d<this.length-i;d++)n=(r=(0|this.words[d+i])+n)>>26,this.words[d+i]=67108863&r;if(0===n)return this.strip();for(p(-1===n),d=n=0;d<this.length;d++)n=(r=-(0|this.words[d])+n)>>26,this.words[d]=67108863&r;return this.negative=1,this.strip()},m.prototype._wordDiv=function(e,t){var i=this.length-e.length,r=this.clone(),f=e,n=0|f.words[f.length-1];0!=(i=26-this._countBits(n))&&(f=f.ushln(i),r.iushln(i),n=0|f.words[f.length-1]);var d,a=r.length-f.length;if("mod"!==t){(d=new m(null)).length=1+a,d.words=new Array(d.length);for(var s=0;s<d.length;s++)d.words[s]=0}e=r.clone()._ishlnsubmul(f,1,a);0===e.negative&&(r=e,d&&(d.words[a]=1));for(var c=a-1;0<=c;c--){var h=67108864*(0|r.words[f.length+c])+(0|r.words[f.length+c-1]),h=Math.min(h/n|0,67108863);for(r._ishlnsubmul(f,h,c);0!==r.negative;)h--,r.negative=0,r._ishlnsubmul(f,1,c),r.isZero()||(r.negative^=1);d&&(d.words[c]=h)}return d&&d.strip(),r.strip(),"div"!==t&&0!=i&&r.iushrn(i),{div:d||null,mod:r}},m.prototype.divmod=function(e,t,i){return p(!e.isZero()),this.isZero()?{div:new m(0),mod:new m(0)}:0!==this.negative&&0===e.negative?(n=this.neg().divmod(e,t),"mod"!==t&&(r=n.div.neg()),"div"!==t&&(f=n.mod.neg(),i&&0!==f.negative&&f.iadd(e)),{div:r,mod:f}):0===this.negative&&0!==e.negative?(n=this.divmod(e.neg(),t),{div:r="mod"!==t?n.div.neg():r,mod:n.mod}):0!=(this.negative&e.negative)?(n=this.neg().divmod(e.neg(),t),"div"!==t&&(f=n.mod.neg(),i&&0!==f.negative&&f.isub(e)),{div:n.div,mod:f}):e.length>this.length||this.cmp(e)<0?{div:new m(0),mod:this}:1===e.length?"div"===t?{div:this.divn(e.words[0]),mod:null}:"mod"===t?{div:null,mod:new m(this.modn(e.words[0]))}:{div:this.divn(e.words[0]),mod:new m(this.modn(e.words[0]))}:this._wordDiv(e,t);var r,f,n},m.prototype.div=function(e){return this.divmod(e,"div",!1).div},m.prototype.mod=function(e){return this.divmod(e,"mod",!1).mod},m.prototype.umod=function(e){return this.divmod(e,"mod",!0).mod},m.prototype.divRound=function(e){var t=this.divmod(e);if(t.mod.isZero())return t.div;var i=0!==t.div.negative?t.mod.isub(e):t.mod,r=e.ushrn(1),e=e.andln(1),r=i.cmp(r);return r<0||1===e&&0===r?t.div:0!==t.div.negative?t.div.isubn(1):t.div.iaddn(1)},m.prototype.modn=function(e){p(e<=67108863);for(var t=(1<<26)%e,i=0,r=this.length-1;0<=r;r--)i=(t*i+(0|this.words[r]))%e;return i},m.prototype.idivn=function(e){p(e<=67108863);for(var t=0,i=this.length-1;0<=i;i--){var r=(0|this.words[i])+67108864*t;this.words[i]=r/e|0,t=r%e}return this.strip()},m.prototype.divn=function(e){return this.clone().idivn(e)},m.prototype.egcd=function(e){p(0===e.negative),p(!e.isZero());for(var t=this,i=e.clone(),t=0!==t.negative?t.umod(e):t.clone(),r=new m(1),f=new m(0),n=new m(0),d=new m(1),a=0;t.isEven()&&i.isEven();)t.iushrn(1),i.iushrn(1),++a;for(var s=i.clone(),c=t.clone();!t.isZero();){for(var h=0,o=1;0==(t.words[0]&o)&&h<26;++h,o<<=1);if(0<h)for(t.iushrn(h);0<h--;)(r.isOdd()||f.isOdd())&&(r.iadd(s),f.isub(c)),r.iushrn(1),f.iushrn(1);for(var u=0,b=1;0==(i.words[0]&b)&&u<26;++u,b<<=1);if(0<u)for(i.iushrn(u);0<u--;)(n.isOdd()||d.isOdd())&&(n.iadd(s),d.isub(c)),n.iushrn(1),d.iushrn(1);0<=t.cmp(i)?(t.isub(i),r.isub(n),f.isub(d)):(i.isub(t),n.isub(r),d.isub(f))}return{a:n,b:d,gcd:i.iushln(a)}},m.prototype._invmp=function(e){p(0===e.negative),p(!e.isZero());for(var t,i=this,r=e.clone(),i=0!==i.negative?i.umod(e):i.clone(),f=new m(1),n=new m(0),d=r.clone();0<i.cmpn(1)&&0<r.cmpn(1);){for(var a=0,s=1;0==(i.words[0]&s)&&a<26;++a,s<<=1);if(0<a)for(i.iushrn(a);0<a--;)f.isOdd()&&f.iadd(d),f.iushrn(1);for(var c=0,h=1;0==(r.words[0]&h)&&c<26;++c,h<<=1);if(0<c)for(r.iushrn(c);0<c--;)n.isOdd()&&n.iadd(d),n.iushrn(1);0<=i.cmp(r)?(i.isub(r),f.isub(n)):(r.isub(i),n.isub(f))}return(t=0===i.cmpn(1)?f:n).cmpn(0)<0&&t.iadd(e),t},m.prototype.gcd=function(e){if(this.isZero())return e.abs();if(e.isZero())return this.abs();var t=this.clone(),i=e.clone();t.negative=0;for(var r=i.negative=0;t.isEven()&&i.isEven();r++)t.iushrn(1),i.iushrn(1);for(;;){for(;t.isEven();)t.iushrn(1);for(;i.isEven();)i.iushrn(1);var f=t.cmp(i);if(f<0)var n=t,t=i,i=n;else if(0===f||0===i.cmpn(1))break;t.isub(i)}return i.iushln(r)},m.prototype.invm=function(e){return this.egcd(e).a.umod(e)},m.prototype.isEven=function(){return 0==(1&this.words[0])},m.prototype.isOdd=function(){return 1==(1&this.words[0])},m.prototype.andln=function(e){return this.words[0]&e},m.prototype.bincn=function(e){p("number"==typeof e);var t=e%26,e=(e-t)/26,t=1<<t;if(this.length<=e)return this._expand(1+e),this.words[e]|=t,this;for(var i=t,r=e;0!==i&&r<this.length;r++){var f=0|this.words[r],i=(f+=i)>>>26;f&=67108863,this.words[r]=f}return 0!==i&&(this.words[r]=i,this.length++),this},m.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},m.prototype.cmpn=function(e){var t=e<0;return 0===this.negative||t?0===this.negative&&t?1:(this.strip(),e=1<this.length?1:(p((e=t?-e:e)<=67108863,"Number is too big"),(t=0|this.words[0])===e?0:t<e?-1:1),0!==this.negative?0|-e:e):-1},m.prototype.cmp=function(e){if(0!==this.negative&&0===e.negative)return-1;if(0===this.negative&&0!==e.negative)return 1;e=this.ucmp(e);return 0!==this.negative?0|-e:e},m.prototype.ucmp=function(e){if(this.length>e.length)return 1;if(this.length<e.length)return-1;for(var t=0,i=this.length-1;0<=i;i--){var r=0|this.words[i],f=0|e.words[i];if(r!=f){r<f?t=-1:f<r&&(t=1);break}}return t},m.prototype.gtn=function(e){return 1===this.cmpn(e)},m.prototype.gt=function(e){return 1===this.cmp(e)},m.prototype.gten=function(e){return 0<=this.cmpn(e)},m.prototype.gte=function(e){return 0<=this.cmp(e)},m.prototype.ltn=function(e){return-1===this.cmpn(e)},m.prototype.lt=function(e){return-1===this.cmp(e)},m.prototype.lten=function(e){return this.cmpn(e)<=0},m.prototype.lte=function(e){return this.cmp(e)<=0},m.prototype.eqn=function(e){return 0===this.cmpn(e)},m.prototype.eq=function(e){return 0===this.cmp(e)},m.red=function(e){return new w(e)},m.prototype.toRed=function(e){return p(!this.red,"Already a number in reduction context"),p(0===this.negative,"red works only with positives"),e.convertTo(this)._forceRed(e)},m.prototype.fromRed=function(){return p(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},m.prototype._forceRed=function(e){return this.red=e,this},m.prototype.forceRed=function(e){return p(!this.red,"Already a number in reduction context"),this._forceRed(e)},m.prototype.redAdd=function(e){return p(this.red,"redAdd works only with red numbers"),this.red.add(this,e)},m.prototype.redIAdd=function(e){return p(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,e)},m.prototype.redSub=function(e){return p(this.red,"redSub works only with red numbers"),this.red.sub(this,e)},m.prototype.redISub=function(e){return p(this.red,"redISub works only with red numbers"),this.red.isub(this,e)},m.prototype.redShl=function(e){return p(this.red,"redShl works only with red numbers"),this.red.shl(this,e)},m.prototype.redMul=function(e){return p(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.mul(this,e)},m.prototype.redIMul=function(e){return p(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.imul(this,e)},m.prototype.redSqr=function(){return p(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},m.prototype.redISqr=function(){return p(this.red,"redISqr works only with red 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r(e,6)^r(e,11)^r(e,25)},i.g0_256=function(e){return r(e,7)^r(e,18)^e>>>3},i.g1_256=function(e){return r(e,17)^r(e,19)^e>>>10}},{"../utils":30}],30:[function(e,t,i){"use strict";var s=e("minimalistic-assert"),e=e("inherits");function n(e){return(e>>>24|e>>>8&65280|e<<8&16711680|(255&e)<<24)>>>0}function r(e){return 1===e.length?"0"+e:e}function d(e){return 7===e.length?"0"+e:6===e.length?"00"+e:5===e.length?"000"+e:4===e.length?"0000"+e:3===e.length?"00000"+e:2===e.length?"000000"+e:1===e.length?"0000000"+e:e}i.inherits=e,i.toArray=function(e,t){if(Array.isArray(e))return e.slice();if(!e)return[];var i,r,f=[];if("string"==typeof e)if(t){if("hex"===t)for((e=e.replace(/[^a-z0-9]+/gi,"")).length%2!=0&&(e="0"+e),d=0;d<e.length;d+=2)f.push(parseInt(e[d]+e[d+1],16))}else for(var n=0,d=0;d<e.length;d++){var a=e.charCodeAt(d);a<128?f[n++]=a:a<2048?(f[n++]=a>>6|192,f[n++]=63&a|128):(r=d,55296!=(64512&(i=e).charCodeAt(r))||r<0||r+1>=i.length||56320!=(64512&i.charCodeAt(r+1))?f[n++]=a>>12|224:(a=65536+((1023&a)<<10)+(1023&e.charCodeAt(++d)),f[n++]=a>>18|240,f[n++]=a>>12&63|128),f[n++]=a>>6&63|128,f[n++]=63&a|128)}else for(d=0;d<e.length;d++)f[d]=0|e[d];return f},i.toHex=function(e){for(var t="",i=0;i<e.length;i++)t+=r(e[i].toString(16));return t},i.htonl=n,i.toHex32=function(e,t){for(var i="",r=0;r<e.length;r++){var f=e[r];i+=d((f="little"===t?n(f):f).toString(16))}return i},i.zero2=r,i.zero8=d,i.join32=function(e,t,i,r){s((i-=t)%4==0);for(var f=new Array(i/4),n=0,d=t;n<f.length;n++,d+=4){var a="big"===r?e[d]<<24|e[d+1]<<16|e[d+2]<<8|e[d+3]:e[d+3]<<24|e[d+2]<<16|e[d+1]<<8|e[d];f[n]=a>>>0}return f},i.split32=function(e,t){for(var i=new Array(4*e.length),r=0,f=0;r<e.length;r++,f+=4){var n=e[r];"big"===t?(i[f]=n>>>24,i[f+1]=n>>>16&255,i[f+2]=n>>>8&255,i[f+3]=255&n):(i[f+3]=n>>>24,i[f+2]=n>>>16&255,i[f+1]=n>>>8&255,i[f]=255&n)}return i},i.rotr32=function(e,t){return e>>>t|e<<32-t},i.rotl32=function(e,t){return e<<t|e>>>32-t},i.sum32=function(e,t){return e+t>>>0},i.sum32_3=function(e,t,i){return e+t+i>>>0},i.sum32_4=function(e,t,i,r){return e+t+i+r>>>0},i.sum32_5=function(e,t,i,r,f){return e+t+i+r+f>>>0},i.sum64=function(e,t,i,r){var f=e[t],n=r+e[t+1]>>>0,f=(n<r?1:0)+i+f;e[t]=f>>>0,e[t+1]=n},i.sum64_hi=function(e,t,i,r){return(t+r>>>0<t?1:0)+e+i>>>0},i.sum64_lo=function(e,t,i,r){return t+r>>>0},i.sum64_4_hi=function(e,t,i,r,f,n,d,a){var s=0,c=t;return s+=(c=c+r>>>0)<t?1:0,s+=(c=c+n>>>0)<n?1:0,e+i+f+d+(s+=(c=c+a>>>0)<a?1:0)>>>0},i.sum64_4_lo=function(e,t,i,r,f,n,d,a){return t+r+n+a>>>0},i.sum64_5_hi=function(e,t,i,r,f,n,d,a,s,c){var h=0,o=t;return h+=(o=o+r>>>0)<t?1:0,h+=(o=o+n>>>0)<n?1:0,h+=(o=o+a>>>0)<a?1:0,e+i+f+d+s+(h+=(o=o+c>>>0)<c?1:0)>>>0},i.sum64_5_lo=function(e,t,i,r,f,n,d,a,s,c){return t+r+n+a+c>>>0},i.rotr64_hi=function(e,t,i){return(t<<32-i|e>>>i)>>>0},i.rotr64_lo=function(e,t,i){return(e<<32-i|t>>>i)>>>0},i.shr64_hi=function(e,t,i){return e>>>i},i.shr64_lo=function(e,t,i){return(e<<32-i|t>>>i)>>>0}},{inherits:32,"minimalistic-assert":33}],31:[function(e,t,i){"use strict";var r=e("hash.js"),n=e("minimalistic-crypto-utils"),f=e("minimalistic-assert");function d(e){if(!(this instanceof d))return new d(e);this.hash=e.hash,this.predResist=!!e.predResist,this.outLen=this.hash.outSize,this.minEntropy=e.minEntropy||this.hash.hmacStrength,this._reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var t=n.toArray(e.entropy,e.entropyEnc||"hex"),i=n.toArray(e.nonce,e.nonceEnc||"hex"),e=n.toArray(e.pers,e.persEnc||"hex");f(t.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._init(t,i,e)}(t.exports=d).prototype._init=function(e,t,i){i=e.concat(t).concat(i);this.K=new Array(this.outLen/8),this.V=new Array(this.outLen/8);for(var r=0;r<this.V.length;r++)this.K[r]=0,this.V[r]=1;this._update(i),this._reseed=1,this.reseedInterval=281474976710656},d.prototype._hmac=function(){return new r.hmac(this.hash,this.K)},d.prototype._update=function(e){var t=this._hmac().update(this.V).update([0]);e&&(t=t.update(e)),this.K=t.digest(),this.V=this._hmac().update(this.V).digest(),e&&(this.K=this._hmac().update(this.V).update([1]).update(e).digest(),this.V=this._hmac().update(this.V).digest())},d.prototype.reseed=function(e,t,i,r){"string"!=typeof t&&(r=i,i=t,t=null),e=n.toArray(e,t),i=n.toArray(i,r),f(e.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._update(e.concat(i||[])),this._reseed=1},d.prototype.generate=function(e,t,i,r){if(this._reseed>this.reseedInterval)throw new Error("Reseed is required");"string"!=typeof t&&(r=i,i=t,t=null),i&&(i=n.toArray(i,r||"hex"),this._update(i));for(var f=[];f.length<e;)this.V=this._hmac().update(this.V).digest(),f=f.concat(this.V);r=f.slice(0,e);return this._update(i),this._reseed++,n.encode(r,t)}},{"hash.js":19,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],32:[function(e,t,i){"function"==typeof Object.create?t.exports=function(e,t){t&&(e.super_=t,e.prototype=Object.create(t.prototype,{constructor:{value:e,enumerable:!1,writable:!0,configurable:!0}}))}:t.exports=function(e,t){var i;t&&(e.super_=t,(i=function(){}).prototype=t.prototype,e.prototype=new i,e.prototype.constructor=e)}},{}],33:[function(e,t,i){function r(e,t){if(!e)throw new Error(t||"Assertion failed")}(t.exports=r).equal=function(e,t,i){if(e!=t)throw new Error(i||"Assertion failed: "+e+" != "+t)}},{}],34:[function(e,t,i){"use strict";function r(e){return 1===e.length?"0"+e:e}function f(e){for(var t="",i=0;i<e.length;i++)t+=r(e[i].toString(16));return t}i.toArray=function(e,t){if(Array.isArray(e))return e.slice();if(!e)return[];var i=[];if("string"!=typeof e){for(var r=0;r<e.length;r++)i[r]=0|e[r];return i}if("hex"===t){(e=e.replace(/[^a-z0-9]+/gi,"")).length%2!=0&&(e="0"+e);for(r=0;r<e.length;r+=2)i.push(parseInt(e[r]+e[r+1],16))}else for(r=0;r<e.length;r++){var f=e.charCodeAt(r),n=f>>8,f=255&f;n?i.push(n,f):i.push(f)}return i},i.zero2=r,i.toHex=f,i.encode=function(e,t){return"hex"===t?f(e):e}},{}],35:[function(e,t,i){t.exports={name:"elliptic",version:"6.6.1",description:"EC cryptography",main:"lib/elliptic.js",files:["lib"],scripts:{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/"},repository:{type:"git",url:"git@github.com:indutny/elliptic"},keywords:["EC","Elliptic","curve","Cryptography"],author:"Fedor Indutny <fedor@indutny.com>",license:"MIT",bugs:{url:"https://github.com/indutny/elliptic/issues"},homepage:"https://github.com/indutny/elliptic",devDependencies:{brfs:"^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":"^5.0.0","grunt-mocha-istanbul":"^5.0.2","grunt-saucelabs":"^9.0.1",istanbul:"^0.4.5",mocha:"^8.0.1"},dependencies:{"bn.js":"^4.11.9",brorand:"^1.1.0","hash.js":"^1.0.0","hmac-drbg":"^1.0.1",inherits:"^2.0.4","minimalistic-assert":"^1.0.1","minimalistic-crypto-utils":"^1.0.1"}}},{}]},{},[1])(1)});
\ No newline at end of file
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..a3fe37e3 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];
}
@@ -62,23 +63,42 @@ 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) {
- var delta = msg.byteLength() * 8 - this.n.bitLength();
+EC.prototype._truncateToN = function _truncateToN(msg, truncOnly, bitLength) {
+ var byteLength;
+ if (BN.isBN(msg) || typeof msg === 'number') {
+ msg = new BN(msg, 16);
+ byteLength = msg.byteLength();
+ } else if (typeof msg === 'object') {
+ // BN assumes an array-like input and asserts length
+ byteLength = msg.length;
+ msg = new BN(msg, 16);
+ } else {
+ // BN converts the value to string
+ var str = msg.toString();
+ // HEX encoding
+ byteLength = (str.length + 1) >>> 1;
+ msg = new BN(str, 16);
+ }
+ // Allow overriding
+ if (typeof bitLength !== 'number') {
+ bitLength = byteLength * 8;
+ }
+ var delta = bitLength - this.n.bitLength();
if (delta > 0)
msg = msg.ushrn(delta);
if (!truncOnly && msg.cmp(this.n) >= 0)
@@ -95,8 +115,18 @@ EC.prototype.sign = function sign(msg, key, enc, options) {
if (!options)
options = {};
+ if (typeof msg !== 'string' && typeof msg !== 'number' && !BN.isBN(msg)) {
+ assert(typeof msg === 'object' && msg && typeof msg.length === 'number',
+ 'Expected message to be an array-like, a hex string, or a BN instance');
+ assert((msg.length >>> 0) === msg.length); // non-negative 32-bit integer
+ for (var i = 0; i < msg.length; i++) assert((msg[i] & 255) === msg[i]);
+ }
+
key = this.keyFromPrivate(key, enc);
- msg = this._truncateToN(new BN(msg, 16));
+ msg = this._truncateToN(msg, false, options.msgBitLength);
+
+ // Would fail further checks, but let's make the error message clear
+ assert(!msg.isNeg(), 'Can not sign a negative message');
// Zero-extend key to provide enough entropy
var bytes = this.n.byteLength();
@@ -105,22 +135,25 @@ EC.prototype.sign = function sign(msg, key, enc, options) {
// Zero-extend nonce to have the same byte size as N
var nonce = msg.toArray('be', bytes);
+ // Recheck nonce to be bijective to msg
+ assert((new BN(nonce)).eq(msg), 'Can not sign message');
+
// Instantiate Hmac_DRBG
var drbg = new HmacDRBG({
hash: this.hash,
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;
@@ -152,8 +185,11 @@ EC.prototype.sign = function sign(msg, key, enc, options) {
}
};
-EC.prototype.verify = function verify(msg, signature, key, enc) {
- msg = this._truncateToN(new BN(msg, 16));
+EC.prototype.verify = function verify(msg, signature, key, enc, options) {
+ if (!options)
+ options = {};
+
+ msg = this._truncateToN(msg, false, options.msgBitLength);
key = this.keyFromPublic(key, enc);
signature = new Signature(signature, 'hex');
@@ -169,9 +205,10 @@ 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 +218,7 @@ 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..595cfb2f 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,
});
};
@@ -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();
};
@@ -108,8 +111,8 @@ KeyPair.prototype.sign = function sign(msg, enc, options) {
return this.ec.sign(msg, this, enc, options);
};
-KeyPair.prototype.verify = function verify(msg, signature) {
- return this.ec.verify(msg, signature, this);
+KeyPair.prototype.verify = function verify(msg, signature, options) {
+ return this.ec.verify(msg, signature, this, undefined, options);
};
KeyPair.prototype.inspect = function inspect() {
diff --git a/lib/elliptic/ec/signature.js b/lib/elliptic/ec/signature.js
index 539df6a2..48e3a26f 100644
--- a/lib/elliptic/ec/signature.js
+++ b/lib/elliptic/ec/signature.js
@@ -38,6 +38,10 @@ function getLength(buf, p) {
return false;
}
+ if(buf[p.place] === 0x00) {
+ return false;
+ }
+
var val = 0;
for (var i = 0, off = p.place; i < octetLen; i++, off++) {
val <<= 8;
@@ -86,6 +90,9 @@ Signature.prototype._importDER = function _importDER(data, enc) {
if (rlen === false) {
return false;
}
+ if ((data[p.place] & 128) !== 0) {
+ return false;
+ }
var r = data.slice(p.place, rlen + p.place);
p.place += rlen;
if (data[p.place++] !== 0x02) {
@@ -98,6 +105,9 @@ Signature.prototype._importDER = function _importDER(data, enc) {
if (data.length !== slen + p.place) {
return false;
}
+ if ((data[p.place] & 128) !== 0) {
+ return false;
+ }
var s = data.slice(p.place, slen + p.place);
if (r[0] === 0) {
if (r[1] & 0x80) {
diff --git a/lib/elliptic/eddsa/index.js b/lib/elliptic/eddsa/index.js
index f82fa35e..cb703a7c 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 });
};
@@ -52,6 +52,9 @@ EDDSA.prototype.sign = function sign(message, secret) {
EDDSA.prototype.verify = function verify(message, sig, pub) {
message = parseBytes(message);
sig = this.makeSignature(sig);
+ if (sig.S().gte(sig.eddsa.curve.n) || sig.S().isNeg()) {
+ return false;
+ }
var key = this.keyFromPublic(pub);
var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message);
var SG = this.g.mul(sig.S());
diff --git a/lib/elliptic/eddsa/signature.js b/lib/elliptic/eddsa/signature.js
index 17b96d70..b224ad1c 100644
--- a/lib/elliptic/eddsa/signature.js
+++ b/lib/elliptic/eddsa/signature.js
@@ -21,9 +21,10 @@ function Signature(eddsa, sig) {
sig = parseBytes(sig);
if (Array.isArray(sig)) {
+ assert(sig.length === eddsa.encodingLength * 2, 'Signature has invalid size');
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'
+ 'cdd9e13192a00b772ec8f3300c090666b7ff4a18ff5195ac0fbd5cd62bc65a09',
],
[
'e1031be262c7ed1b1dc9227a4a04c017a77f8d4464f3b3852c8acde6e534fd2d',
- '9d7061928940405e6bb6a4176597535af292dd419e1ced79a44f18f29456a00d'
+ '9d7061928940405e6bb6a4176597535af292dd419e1ced79a44f18f29456a00d',
],
[
'feea6cae46d55b530ac2839f143bd7ec5cf8b266a41d6af52d5e688d9094696d',
- 'e57c6b6c97dce1bab06e4e12bf3ecd5c981c8957cc41442d3155debf18090088'
+ 'e57c6b6c97dce1bab06e4e12bf3ecd5c981c8957cc41442d3155debf18090088',
],
[
'da67a91d91049cdcb367be4be6ffca3cfeed657d808583de33fa978bc1ec6cb1',
- '9bacaa35481642bc41f463f7ec9780e5dec7adc508f740a17e9ea8e27a68be1d'
+ '9bacaa35481642bc41f463f7ec9780e5dec7adc508f740a17e9ea8e27a68be1d',
],
[
'53904faa0b334cdda6e000935ef22151ec08d0f7bb11069f57545ccc1a37b7c0',
- '5bc087d0bc80106d88c9eccac20d3c1c13999981e14434699dcb096b022771c8'
+ '5bc087d0bc80106d88c9eccac20d3c1c13999981e14434699dcb096b022771c8',
],
[
'8e7bcd0bd35983a7719cca7764ca906779b53a043a9b8bcaeff959f43ad86047',
- '10b7770b2a3da4b3940310420ca9514579e88e2e47fd68b3ea10047e8460372a'
+ '10b7770b2a3da4b3940310420ca9514579e88e2e47fd68b3ea10047e8460372a',
],
[
'385eed34c1cdff21e6d0818689b81bde71a7f4f18397e6690a841e1599c43862',
- '283bebc3e8ea23f56701de19e9ebf4576b304eec2086dc8cc0458fe5542e5453'
+ '283bebc3e8ea23f56701de19e9ebf4576b304eec2086dc8cc0458fe5542e5453',
],
[
'6f9d9b803ecf191637c73a4413dfa180fddf84a5947fbc9c606ed86c3fac3a7',
- '7c80c68e603059ba69b8e2a30e45c4d47ea4dd2f5c281002d86890603a842160'
+ '7c80c68e603059ba69b8e2a30e45c4d47ea4dd2f5c281002d86890603a842160',
],
[
'3322d401243c4e2582a2147c104d6ecbf774d163db0f5e5313b7e0e742d0e6bd',
- '56e70797e9664ef5bfb019bc4ddaf9b72805f63ea2873af624f3a2e96c28b2a0'
+ '56e70797e9664ef5bfb019bc4ddaf9b72805f63ea2873af624f3a2e96c28b2a0',
],
[
'85672c7d2de0b7da2bd1770d89665868741b3f9af7643397721d74d28134ab83',
- '7c481b9b5b43b2eb6374049bfa62c2e5e77f17fcc5298f44c8e3094f790313a6'
+ '7c481b9b5b43b2eb6374049bfa62c2e5e77f17fcc5298f44c8e3094f790313a6',
],
[
'948bf809b1988a46b06c9f1919413b10f9226c60f668832ffd959af60c82a0a',
- '53a562856dcb6646dc6b74c5d1c3418c6d4dff08c97cd2bed4cb7f88d8c8e589'
+ '53a562856dcb6646dc6b74c5d1c3418c6d4dff08c97cd2bed4cb7f88d8c8e589',
],
[
'6260ce7f461801c34f067ce0f02873a8f1b0e44dfc69752accecd819f38fd8e8',
- 'bc2da82b6fa5b571a7f09049776a1ef7ecd292238051c198c1a84e95b2b4ae17'
+ 'bc2da82b6fa5b571a7f09049776a1ef7ecd292238051c198c1a84e95b2b4ae17',
],
[
'e5037de0afc1d8d43d8348414bbf4103043ec8f575bfdc432953cc8d2037fa2d',
- '4571534baa94d3b5f9f98d09fb990bddbd5f5b03ec481f10e0e5dc841d755bda'
+ '4571534baa94d3b5f9f98d09fb990bddbd5f5b03ec481f10e0e5dc841d755bda',
],
[
'e06372b0f4a207adf5ea905e8f1771b4e7e8dbd1c6a6c5b725866a0ae4fce725',
- '7a908974bce18cfe12a27bb2ad5a488cd7484a7787104870b27034f94eee31dd'
+ '7a908974bce18cfe12a27bb2ad5a488cd7484a7787104870b27034f94eee31dd',
],
[
'213c7a715cd5d45358d0bbf9dc0ce02204b10bdde2a3f58540ad6908d0559754',
- '4b6dad0b5ae462507013ad06245ba190bb4850f5f36a7eeddff2c27534b458f2'
+ '4b6dad0b5ae462507013ad06245ba190bb4850f5f36a7eeddff2c27534b458f2',
],
[
'4e7c272a7af4b34e8dbb9352a5419a87e2838c70adc62cddf0cc3a3b08fbd53c',
- '17749c766c9d0b18e16fd09f6def681b530b9614bff7dd33e0b3941817dcaae6'
+ '17749c766c9d0b18e16fd09f6def681b530b9614bff7dd33e0b3941817dcaae6',
],
[
'fea74e3dbe778b1b10f238ad61686aa5c76e3db2be43057632427e2840fb27b6',
- '6e0568db9b0b13297cf674deccb6af93126b596b973f7b77701d3db7f23cb96f'
+ '6e0568db9b0b13297cf674deccb6af93126b596b973f7b77701d3db7f23cb96f',
],
[
'76e64113f677cf0e10a2570d599968d31544e179b760432952c02a4417bdde39',
- 'c90ddf8dee4e95cf577066d70681f0d35e2a33d2b56d2032b4b1752d1901ac01'
+ 'c90ddf8dee4e95cf577066d70681f0d35e2a33d2b56d2032b4b1752d1901ac01',
],
[
'c738c56b03b2abe1e8281baa743f8f9a8f7cc643df26cbee3ab150242bcbb891',
- '893fb578951ad2537f718f2eacbfbbbb82314eef7880cfe917e735d9699a84c3'
+ '893fb578951ad2537f718f2eacbfbbbb82314eef7880cfe917e735d9699a84c3',
],
[
'd895626548b65b81e264c7637c972877d1d72e5f3a925014372e9f6588f6c14b',
- 'febfaa38f2bc7eae728ec60818c340eb03428d632bb067e179363ed75d7d991f'
+ 'febfaa38f2bc7eae728ec60818c340eb03428d632bb067e179363ed75d7d991f',
],
[
'b8da94032a957518eb0f6433571e8761ceffc73693e84edd49150a564f676e03',
- '2804dfa44805a1e4d7c99cc9762808b092cc584d95ff3b511488e4e74efdf6e7'
+ '2804dfa44805a1e4d7c99cc9762808b092cc584d95ff3b511488e4e74efdf6e7',
],
[
'e80fea14441fb33a7d8adab9475d7fab2019effb5156a792f1a11778e3c0df5d',
- 'eed1de7f638e00771e89768ca3ca94472d155e80af322ea9fcb4291b6ac9ec78'
+ 'eed1de7f638e00771e89768ca3ca94472d155e80af322ea9fcb4291b6ac9ec78',
],
[
'a301697bdfcd704313ba48e51d567543f2a182031efd6915ddc07bbcc4e16070',
- '7370f91cfb67e4f5081809fa25d40f9b1735dbf7c0a11a130c0d1a041e177ea1'
+ '7370f91cfb67e4f5081809fa25d40f9b1735dbf7c0a11a130c0d1a041e177ea1',
],
[
'90ad85b389d6b936463f9d0512678de208cc330b11307fffab7ac63e3fb04ed4',
- 'e507a3620a38261affdcbd9427222b839aefabe1582894d991d4d48cb6ef150'
+ 'e507a3620a38261affdcbd9427222b839aefabe1582894d991d4d48cb6ef150',
],
[
'8f68b9d2f63b5f339239c1ad981f162ee88c5678723ea3351b7b444c9ec4c0da',
- '662a9f2dba063986de1d90c2b6be215dbbea2cfe95510bfdf23cbf79501fff82'
+ '662a9f2dba063986de1d90c2b6be215dbbea2cfe95510bfdf23cbf79501fff82',
],
[
'e4f3fb0176af85d65ff99ff9198c36091f48e86503681e3e6686fd5053231e11',
- '1e63633ad0ef4f1c1661a6d0ea02b7286cc7e74ec951d1c9822c38576feb73bc'
+ '1e63633ad0ef4f1c1661a6d0ea02b7286cc7e74ec951d1c9822c38576feb73bc',
],
[
'8c00fa9b18ebf331eb961537a45a4266c7034f2f0d4e1d0716fb6eae20eae29e',
- 'efa47267fea521a1a9dc343a3736c974c2fadafa81e36c54e7d2a4c66702414b'
+ 'efa47267fea521a1a9dc343a3736c974c2fadafa81e36c54e7d2a4c66702414b',
],
[
'e7a26ce69dd4829f3e10cec0a9e98ed3143d084f308b92c0997fddfc60cb3e41',
- '2a758e300fa7984b471b006a1aafbb18d0a6b2c0420e83e20e8a9421cf2cfd51'
+ '2a758e300fa7984b471b006a1aafbb18d0a6b2c0420e83e20e8a9421cf2cfd51',
],
[
'b6459e0ee3662ec8d23540c223bcbdc571cbcb967d79424f3cf29eb3de6b80ef',
- '67c876d06f3e06de1dadf16e5661db3c4b3ae6d48e35b2ff30bf0b61a71ba45'
+ '67c876d06f3e06de1dadf16e5661db3c4b3ae6d48e35b2ff30bf0b61a71ba45',
],
[
'd68a80c8280bb840793234aa118f06231d6f1fc67e73c5a5deda0f5b496943e8',
- 'db8ba9fff4b586d00c4b1f9177b0e28b5b0e7b8f7845295a294c84266b133120'
+ 'db8ba9fff4b586d00c4b1f9177b0e28b5b0e7b8f7845295a294c84266b133120',
],
[
'324aed7df65c804252dc0270907a30b09612aeb973449cea4095980fc28d3d5d',
- '648a365774b61f2ff130c0c35aec1f4f19213b0c7e332843967224af96ab7c84'
+ '648a365774b61f2ff130c0c35aec1f4f19213b0c7e332843967224af96ab7c84',
],
[
'4df9c14919cde61f6d51dfdbe5fee5dceec4143ba8d1ca888e8bd373fd054c96',
- '35ec51092d8728050974c23a1d85d4b5d506cdc288490192ebac06cad10d5d'
+ '35ec51092d8728050974c23a1d85d4b5d506cdc288490192ebac06cad10d5d',
],
[
'9c3919a84a474870faed8a9c1cc66021523489054d7f0308cbfc99c8ac1f98cd',
- 'ddb84f0f4a4ddd57584f044bf260e641905326f76c64c8e6be7e5e03d4fc599d'
+ 'ddb84f0f4a4ddd57584f044bf260e641905326f76c64c8e6be7e5e03d4fc599d',
],
[
'6057170b1dd12fdf8de05f281d8e06bb91e1493a8b91d4cc5a21382120a959e5',
- '9a1af0b26a6a4807add9a2daf71df262465152bc3ee24c65e899be932385a2a8'
+ '9a1af0b26a6a4807add9a2daf71df262465152bc3ee24c65e899be932385a2a8',
],
[
'a576df8e23a08411421439a4518da31880cef0fba7d4df12b1a6973eecb94266',
- '40a6bf20e76640b2c92b97afe58cd82c432e10a7f514d9f3ee8be11ae1b28ec8'
+ '40a6bf20e76640b2c92b97afe58cd82c432e10a7f514d9f3ee8be11ae1b28ec8',
],
[
'7778a78c28dec3e30a05fe9629de8c38bb30d1f5cf9a3a208f763889be58ad71',
- '34626d9ab5a5b22ff7098e12f2ff580087b38411ff24ac563b513fc1fd9f43ac'
+ '34626d9ab5a5b22ff7098e12f2ff580087b38411ff24ac563b513fc1fd9f43ac',
],
[
'928955ee637a84463729fd30e7afd2ed5f96274e5ad7e5cb09eda9c06d903ac',
- 'c25621003d3f42a827b78a13093a95eeac3d26efa8a8d83fc5180e935bcd091f'
+ 'c25621003d3f42a827b78a13093a95eeac3d26efa8a8d83fc5180e935bcd091f',
],
[
'85d0fef3ec6db109399064f3a0e3b2855645b4a907ad354527aae75163d82751',
- '1f03648413a38c0be29d496e582cf5663e8751e96877331582c237a24eb1f962'
+ '1f03648413a38c0be29d496e582cf5663e8751e96877331582c237a24eb1f962',
],
[
'ff2b0dce97eece97c1c9b6041798b85dfdfb6d8882da20308f5404824526087e',
- '493d13fef524ba188af4c4dc54d07936c7b7ed6fb90e2ceb2c951e01f0c29907'
+ '493d13fef524ba188af4c4dc54d07936c7b7ed6fb90e2ceb2c951e01f0c29907',
],
[
'827fbbe4b1e880ea9ed2b2e6301b212b57f1ee148cd6dd28780e5e2cf856e241',
- 'c60f9c923c727b0b71bef2c67d1d12687ff7a63186903166d605b68baec293ec'
+ 'c60f9c923c727b0b71bef2c67d1d12687ff7a63186903166d605b68baec293ec',
],
[
'eaa649f21f51bdbae7be4ae34ce6e5217a58fdce7f47f9aa7f3b58fa2120e2b3',
- 'be3279ed5bbbb03ac69a80f89879aa5a01a6b965f13f7e59d47a5305ba5ad93d'
+ 'be3279ed5bbbb03ac69a80f89879aa5a01a6b965f13f7e59d47a5305ba5ad93d',
],
[
'e4a42d43c5cf169d9391df6decf42ee541b6d8f0c9a137401e23632dda34d24f',
- '4d9f92e716d1c73526fc99ccfb8ad34ce886eedfa8d8e4f13a7f7131deba9414'
+ '4d9f92e716d1c73526fc99ccfb8ad34ce886eedfa8d8e4f13a7f7131deba9414',
],
[
'1ec80fef360cbdd954160fadab352b6b92b53576a88fea4947173b9d4300bf19',
- 'aeefe93756b5340d2f3a4958a7abbf5e0146e77f6295a07b671cdc1cc107cefd'
+ 'aeefe93756b5340d2f3a4958a7abbf5e0146e77f6295a07b671cdc1cc107cefd',
],
[
'146a778c04670c2f91b00af4680dfa8bce3490717d58ba889ddb5928366642be',
- 'b318e0ec3354028add669827f9d4b2870aaa971d2f7e5ed1d0b297483d83efd0'
+ 'b318e0ec3354028add669827f9d4b2870aaa971d2f7e5ed1d0b297483d83efd0',
],
[
'fa50c0f61d22e5f07e3acebb1aa07b128d0012209a28b9776d76a8793180eef9',
- '6b84c6922397eba9b72cd2872281a68a5e683293a57a213b38cd8d7d3f4f2811'
+ '6b84c6922397eba9b72cd2872281a68a5e683293a57a213b38cd8d7d3f4f2811',
],
[
'da1d61d0ca721a11b1a5bf6b7d88e8421a288ab5d5bba5220e53d32b5f067ec2',
- '8157f55a7c99306c79c0766161c91e2966a73899d279b48a655fba0f1ad836f1'
+ '8157f55a7c99306c79c0766161c91e2966a73899d279b48a655fba0f1ad836f1',
],
[
'a8e282ff0c9706907215ff98e8fd416615311de0446f1e062a73b0610d064e13',
- '7f97355b8db81c09abfb7f3c5b2515888b679a3e50dd6bd6cef7c73111f4cc0c'
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],
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- '299d21f9413f33b3edf43b257004580b70db57da0b182259e09eecc69e0d38a5'
+ '299d21f9413f33b3edf43b257004580b70db57da0b182259e09eecc69e0d38a5',
],
[
'd32f4da54ade74abb81b815ad1fb3b263d82d6c692714bcff87d29bd5ee9f08f',
- 'f9429e738b8e53b968e99016c059707782e14f4535359d582fc416910b3eea87'
+ 'f9429e738b8e53b968e99016c059707782e14f4535359d582fc416910b3eea87',
],
[
'30e4e670435385556e593657135845d36fbb6931f72b08cb1ed954f1e3ce3ff6',
- '462f9bce619898638499350113bbc9b10a878d35da70740dc695a559eb88db7b'
+ '462f9bce619898638499350113bbc9b10a878d35da70740dc695a559eb88db7b',
],
[
'be2062003c51cc3004682904330e4dee7f3dcd10b01e580bf1971b04d4cad297',
- '62188bc49d61e5428573d48a74e1c655b1c61090905682a0d5558ed72dccb9bc'
+ '62188bc49d61e5428573d48a74e1c655b1c61090905682a0d5558ed72dccb9bc',
],
[
'93144423ace3451ed29e0fb9ac2af211cb6e84a601df5993c419859fff5df04a',
- '7c10dfb164c3425f5c71a3f9d7992038f1065224f72bb9d1d902a6d13037b47c'
+ '7c10dfb164c3425f5c71a3f9d7992038f1065224f72bb9d1d902a6d13037b47c',
],
[
'b015f8044f5fcbdcf21ca26d6c34fb8197829205c7b7d2a7cb66418c157b112c',
- 'ab8c1e086d04e813744a655b2df8d5f83b3cdc6faa3088c1d3aea1454e3a1d5f'
+ 'ab8c1e086d04e813744a655b2df8d5f83b3cdc6faa3088c1d3aea1454e3a1d5f',
],
[
'd5e9e1da649d97d89e4868117a465a3a4f8a18de57a140d36b3f2af341a21b52',
- '4cb04437f391ed73111a13cc1d4dd0db1693465c2240480d8955e8592f27447a'
+ '4cb04437f391ed73111a13cc1d4dd0db1693465c2240480d8955e8592f27447a',
],
[
'd3ae41047dd7ca065dbf8ed77b992439983005cd72e16d6f996a5316d36966bb',
- 'bd1aeb21ad22ebb22a10f0303417c6d964f8cdd7df0aca614b10dc14d125ac46'
+ 'bd1aeb21ad22ebb22a10f0303417c6d964f8cdd7df0aca614b10dc14d125ac46',
],
[
'463e2763d885f958fc66cdd22800f0a487197d0a82e377b49f80af87c897b065',
- 'bfefacdb0e5d0fd7df3a311a94de062b26b80c61fbc97508b79992671ef7ca7f'
+ 'bfefacdb0e5d0fd7df3a311a94de062b26b80c61fbc97508b79992671ef7ca7f',
],
[
'7985fdfd127c0567c6f53ec1bb63ec3158e597c40bfe747c83cddfc910641917',
- '603c12daf3d9862ef2b25fe1de289aed24ed291e0ec6708703a5bd567f32ed03'
+ '603c12daf3d9862ef2b25fe1de289aed24ed291e0ec6708703a5bd567f32ed03',
],
[
'74a1ad6b5f76e39db2dd249410eac7f99e74c59cb83d2d0ed5ff1543da7703e9',
- 'cc6157ef18c9c63cd6193d83631bbea0093e0968942e8c33d5737fd790e0db08'
+ 'cc6157ef18c9c63cd6193d83631bbea0093e0968942e8c33d5737fd790e0db08',
],
[
'30682a50703375f602d416664ba19b7fc9bab42c72747463a71d0896b22f6da3',
- '553e04f6b018b4fa6c8f39e7f311d3176290d0e0f19ca73f17714d9977a22ff8'
+ '553e04f6b018b4fa6c8f39e7f311d3176290d0e0f19ca73f17714d9977a22ff8',
],
[
'9e2158f0d7c0d5f26c3791efefa79597654e7a2b2464f52b1ee6c1347769ef57',
- '712fcdd1b9053f09003a3481fa7762e9ffd7c8ef35a38509e2fbf2629008373'
+ '712fcdd1b9053f09003a3481fa7762e9ffd7c8ef35a38509e2fbf2629008373',
],
[
'176e26989a43c9cfeba4029c202538c28172e566e3c4fce7322857f3be327d66',
- 'ed8cc9d04b29eb877d270b4878dc43c19aefd31f4eee09ee7b47834c1fa4b1c3'
+ 'ed8cc9d04b29eb877d270b4878dc43c19aefd31f4eee09ee7b47834c1fa4b1c3',
],
[
'75d46efea3771e6e68abb89a13ad747ecf1892393dfc4f1b7004788c50374da8',
- '9852390a99507679fd0b86fd2b39a868d7efc22151346e1a3ca4726586a6bed8'
+ '9852390a99507679fd0b86fd2b39a868d7efc22151346e1a3ca4726586a6bed8',
],
[
'809a20c67d64900ffb698c4c825f6d5f2310fb0451c869345b7319f645605721',
- '9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1'
+ '9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1',
],
[
'1b38903a43f7f114ed4500b4eac7083fdefece1cf29c63528d563446f972c180',
- '4036edc931a60ae889353f77fd53de4a2708b26b6f5da72ad3394119daf408f9'
- ]
- ]
- }
+ '4036edc931a60ae889353f77fd53de4a2708b26b6f5da72ad3394119daf408f9',
+ ],
+ ],
+ },
};
diff --git a/lib/elliptic/utils.js b/lib/elliptic/utils.js
index f6d5616d..b3ef2d2f 100644
--- a/lib/elliptic/utils.js
+++ b/lib/elliptic/utils.js
@@ -14,12 +14,15 @@ utils.encode = minUtils.encode;
// Represent num in a w-NAF form
function getNAF(num, w, bits) {
var naf = new Array(Math.max(num.bitLength(), bits) + 1);
- naf.fill(0);
+ var i;
+ for (i = 0; i < naf.length; i += 1) {
+ naf[i] = 0;
+ }
var ws = 1 << (w + 1);
var k = num.clone();
- for (var i = 0; i < naf.length; i++) {
+ for (i = 0; i < naf.length; i++) {
var z;
var mod = k.andln(ws - 1);
if (k.isOdd()) {
@@ -44,15 +47,15 @@ utils.getNAF = getNAF;
function getJSF(k1, k2) {
var jsf = [
[],
- []
+ [],
];
k1 = k1.clone();
k2 = k2.clone();
var d1 = 0;
var 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;
@@ -64,7 +67,7 @@ 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 +79,7 @@ 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 +104,14 @@ 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 57cab846..af5a0711 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -1,349 +1,504 @@
{
"name": "elliptic",
- "version": "6.5.3",
- "lockfileVersion": 1,
+ "version": "6.6.1",
+ "lockfileVersion": 2,
"requires": true,
- "dependencies": {
- "JSONStream": {
- "version": "1.3.5",
- "resolved": "https://registry.npmjs.org/JSONStream/-/JSONStream-1.3.5.tgz",
- "integrity": "sha512-E+iruNOY8VV9s4JEbe1aNEm6MiszPRr/UfcHMz0TQh1BXSxHK+ASV1R6W4HpjBhSeS+54PIsAMCBmwD06LLsqQ==",
+ "packages": {
+ "": {
+ "version": "6.6.1",
+ "license": "MIT",
+ "dependencies": {
+ "bn.js": "^4.11.9",
+ "brorand": "^1.1.0",
+ "hash.js": "^1.0.0",
+ "hmac-drbg": "^1.0.1",
+ "inherits": "^2.0.4",
+ "minimalistic-assert": "^1.0.1",
+ "minimalistic-crypto-utils": "^1.0.1"
+ },
+ "devDependencies": {
+ "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": "^5.0.0",
+ "grunt-mocha-istanbul": "^5.0.2",
+ "grunt-saucelabs": "^9.0.1",
+ "istanbul": "^0.4.5",
+ "mocha": "^8.0.1"
+ }
+ },
+ "node_modules/@babel/code-frame": {
+ "version": "7.12.11",
+ "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.12.11.tgz",
+ "integrity": "sha512-Zt1yodBx1UcyiePMSkWnU4hPqhwq7hGi2nFL1LeA3EUl+q2LQx16MISgJ0+z7dnmgvP9QtIleuETGOiOH1RcIw==",
"dev": true,
- "requires": {
- "jsonparse": "^1.2.0",
- "through": ">=2.2.7 <3"
+ "dependencies": {
+ "@babel/highlight": "^7.10.4"
}
},
- "JSV": {
- "version": "4.0.2",
- "resolved": "https://registry.npmjs.org/JSV/-/JSV-4.0.2.tgz",
- "integrity": "sha1-0Hf2glVx+CEy+d/67Vh7QCn+/1c=",
+ "node_modules/@babel/helper-validator-identifier": {
+ "version": "7.12.11",
+ "resolved": "https://registry.npmjs.org/@babel/helper-validator-identifier/-/helper-validator-identifier-7.12.11.tgz",
+ "integrity": "sha512-np/lG3uARFybkoHokJUmf1QfEvRVCPbmQeUQpKow5cQ3xWrV9i3rUHodKDJPQfTVX61qKi+UdYk8kik84n7XOw==",
"dev": true
},
- "abbrev": {
- "version": "1.1.1",
- "resolved": "https://registry.npmjs.org/abbrev/-/abbrev-1.1.1.tgz",
- "integrity": "sha512-nne9/IiQ/hzIhY6pdDnbBtz7DjPTKrY00P/zvPSm5pOFkl6xuGrGnXn/VtTNNfNtAfZ9/1RtehkszU9qcTii0Q==",
+ "node_modules/@babel/highlight": {
+ "version": "7.10.4",
+ "resolved": "https://registry.npmjs.org/@babel/highlight/-/highlight-7.10.4.tgz",
+ "integrity": "sha512-i6rgnR/YgPEQzZZnbTHHuZdlE8qyoBNalD6F+q4vAFlcMEcqmkoG+mPqJYJCo63qPf74+Y1UZsl3l6f7/RIkmA==",
+ "dev": true,
+ "dependencies": {
+ "@babel/helper-validator-identifier": "^7.10.4",
+ "chalk": "^2.0.0",
+ "js-tokens": "^4.0.0"
+ }
+ },
+ "node_modules/@babel/highlight/node_modules/ansi-styles": {
+ "version": "3.2.1",
+ "resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-3.2.1.tgz",
+ "integrity": "sha512-VT0ZI6kZRdTh8YyJw3SMbYm/u+NqfsAxEpWO0Pf9sq8/e94WxxOpPKx9FR1FlyCtOVDNOQ+8ntlqFxiRc+r5qA==",
+ "dev": true,
+ "dependencies": {
+ "color-convert": "^1.9.0"
+ },
+ "engines": {
+ "node": ">=4"
+ }
+ },
+ "node_modules/@babel/highlight/node_modules/chalk": {
+ "version": "2.4.2",
+ "resolved": "https://registry.npmjs.org/chalk/-/chalk-2.4.2.tgz",
+ "integrity": "sha512-Mti+f9lpJNcwF4tWV8/OrTTtF1gZi+f8FqlyAdouralcFWFQWF2+NgCHShjkCb+IFBLq9buZwE1xckQU4peSuQ==",
+ "dev": true,
+ "dependencies": {
+ "ansi-styles": "^3.2.1",
+ "escape-string-regexp": "^1.0.5",
+ "supports-color": "^5.3.0"
+ },
+ "engines": {
+ "node": ">=4"
+ }
+ },
+ "node_modules/@babel/highlight/node_modules/color-convert": {
+ "version": "1.9.3",
+ "resolved": "https://registry.npmjs.org/color-convert/-/color-convert-1.9.3.tgz",
+ "integrity": "sha512-QfAUtd+vFdAtFQcC8CCyYt1fYWxSqAiK2cSD6zDB8N3cpsEBAvRxp9zOGg6G/SHHJYAT88/az/IuDGALsNVbGg==",
+ "dev": true,
+ "dependencies": {
+ "color-name": "1.1.3"
+ }
+ },
+ "node_modules/@babel/highlight/node_modules/color-name": {
+ "version": "1.1.3",
+ "resolved": "https://registry.npmjs.org/color-name/-/color-name-1.1.3.tgz",
+ "integrity": "sha1-p9BVi9icQveV3UIyj3QIMcpTvCU=",
"dev": true
},
- "accepts": {
+ "node_modules/@babel/highlight/node_modules/has-flag": {
+ "version": "3.0.0",
+ "resolved": "https://registry.npmjs.org/has-flag/-/has-flag-3.0.0.tgz",
+ "integrity": "sha1-tdRU3CGZriJWmfNGfloH87lVuv0=",
+ "dev": true,
+ "engines": {
+ "node": ">=4"
+ }
+ },
+ "node_modules/@babel/highlight/node_modules/supports-color": {
+ "version": "5.5.0",
+ "resolved": "https://registry.npmjs.org/supports-color/-/supports-color-5.5.0.tgz",
+ "integrity": "sha512-QjVjwdXIt408MIiAqCX4oUKsgU2EqAGzs2Ppkm4aQYbjm+ZEWEcW4SfFNTr4uMNZma0ey4f5lgLrkB0aX0QMow==",
+ "dev": true,
+ "dependencies": {
+ "has-flag": "^3.0.0"
+ },
+ "engines": {
+ "node": ">=4"
+ }
+ },
+ "node_modules/@eslint/eslintrc": {
+ "version": "0.3.0",
+ "resolved": "https://registry.npmjs.org/@eslint/eslintrc/-/eslintrc-0.3.0.tgz",
+ "integrity": "sha512-1JTKgrOKAHVivSvOYw+sJOunkBjUOvjqWk1DPja7ZFhIS2mX/4EgTT8M7eTK9jrKhL/FvXXEbQwIs3pg1xp3dg==",
+ "dev": true,
+ "dependencies": {
+ "ajv": "^6.12.4",
+ "debug": "^4.1.1",
+ "espree": "^7.3.0",
+ "globals": "^12.1.0",
+ "ignore": "^4.0.6",
+ "import-fresh": "^3.2.1",
+ "js-yaml": "^3.13.1",
+ "lodash": "^4.17.20",
+ "minimatch": "^3.0.4",
+ "strip-json-comments": "^3.1.1"
+ },
+ "engines": {
+ "node": "^10.12.0 || >=12.0.0"
+ }
+ },
+ "node_modules/@ungap/promise-all-settled": {
+ "version": "1.1.2",
+ "resolved": "https://registry.npmjs.org/@ungap/promise-all-settled/-/promise-all-settled-1.1.2.tgz",
+ "integrity": "sha512-sL/cEvJWAnClXw0wHk85/2L0G6Sj8UB0Ctc1TEMbKSsmpRosqhwj9gWgFRZSrBr2f9tiXISwNhCPmlfqUqyb9Q==",
+ "dev": true
+ },
+ "node_modules/abbrev": {
+ "version": "1.0.9",
+ "resolved": "https://registry.npmjs.org/abbrev/-/abbrev-1.0.9.tgz",
+ "integrity": "sha1-kbR5JYinc4wl813W9jdSovh3YTU=",
+ "dev": true
+ },
+ "node_modules/accepts": {
"version": "1.3.7",
"resolved": "https://registry.npmjs.org/accepts/-/accepts-1.3.7.tgz",
"integrity": "sha512-Il80Qs2WjYlJIBNzNkK6KYqlVMTbZLXgHx2oT0pU/fjRHyEp+PEfEPY0R3WCwAGVOtauxh1hOxNgIf5bv7dQpA==",
"dev": true,
- "requires": {
+ "dependencies": {
"mime-types": "~2.1.24",
"negotiator": "0.6.2"
+ },
+ "engines": {
+ "node": ">= 0.6"
}
},
- "acorn": {
- "version": "5.7.3",
- "resolved": "https://registry.npmjs.org/acorn/-/acorn-5.7.3.tgz",
- "integrity": "sha512-T/zvzYRfbVojPWahDsE5evJdHb3oJoQfFbsrKM7w5Zcs++Tr257tia3BmMP8XYVjp1S9RZXQMh7gao96BlqZOw==",
- "dev": true
+ "node_modules/acorn": {
+ "version": "7.4.1",
+ "resolved": "https://registry.npmjs.org/acorn/-/acorn-7.4.1.tgz",
+ "integrity": "sha512-nQyp0o1/mNdbTO1PO6kHkwSrmgZ0MT/jCCpNiwbUjGoRN4dlBhqJtoQuCnEOKzgTVwg0ZWiCoQy6SxMebQVh8A==",
+ "dev": true,
+ "bin": {
+ "acorn": "bin/acorn"
+ },
+ "engines": {
+ "node": ">=0.4.0"
+ }
},
- "acorn-dynamic-import": {
- "version": "4.0.0",
- "resolved": "https://registry.npmjs.org/acorn-dynamic-import/-/acorn-dynamic-import-4.0.0.tgz",
- "integrity": "sha512-d3OEjQV4ROpoflsnUA8HozoIR504TFxNivYEUi6uwz0IYhBkTDXGuWlNdMtybRt3nqVx/L6XqMt0FxkXuWKZhw==",
- "dev": true
+ "node_modules/acorn-jsx": {
+ "version": "5.3.1",
+ "resolved": "https://registry.npmjs.org/acorn-jsx/-/acorn-jsx-5.3.1.tgz",
+ "integrity": "sha512-K0Ptm/47OKfQRpNQ2J/oIN/3QYiK6FwW+eJbILhsdxh2WTLdl+30o8aGdTbm5JbffpFFAg/g+zi1E+jvJha5ng==",
+ "dev": true,
+ "peerDependencies": {
+ "acorn": "^6.0.0 || ^7.0.0 || ^8.0.0"
+ }
},
- "acorn-node": {
- "version": "1.7.0",
- "resolved": "https://registry.npmjs.org/acorn-node/-/acorn-node-1.7.0.tgz",
- "integrity": "sha512-XhahLSsCB6X6CJbe+uNu3Mn9sJBNFxtBN9NLgAOQovfS6Kh0lDUtmlclhjn9CvEK7A7YyRU13PXlNcpSiLI9Yw==",
+ "node_modules/acorn-node": {
+ "version": "1.8.2",
+ "resolved": "https://registry.npmjs.org/acorn-node/-/acorn-node-1.8.2.tgz",
+ "integrity": "sha512-8mt+fslDufLYntIoPAaIMUe/lrbrehIiwmR3t2k9LljIzoigEPF27eLk2hy8zSGzmR/ogr7zbRKINMo1u0yh5A==",
"dev": true,
- "requires": {
- "acorn": "^6.1.1",
- "acorn-dynamic-import": "^4.0.0",
- "acorn-walk": "^6.1.1",
- "xtend": "^4.0.1"
- },
"dependencies": {
- "acorn": {
- "version": "6.1.1",
- "resolved": "https://registry.npmjs.org/acorn/-/acorn-6.1.1.tgz",
- "integrity": "sha512-jPTiwtOxaHNaAPg/dmrJ/beuzLRnXtB0kQPQ8JpotKJgTB6rX6c8mlf315941pyjBSaPg8NHXS9fhP4u17DpGA==",
- "dev": true
- }
+ "acorn": "^7.0.0",
+ "acorn-walk": "^7.0.0",
+ "xtend": "^4.0.2"
}
},
- "acorn-walk": {
- "version": "6.1.1",
- "resolved": "https://registry.npmjs.org/acorn-walk/-/acorn-walk-6.1.1.tgz",
- "integrity": "sha512-OtUw6JUTgxA2QoqqmrmQ7F2NYqiBPi/L2jqHyFtllhOUvXYQXf0Z1CYUinIfyT4bTCGmrA7gX9FvHA81uzCoVw==",
- "dev": true
+ "node_modules/acorn-walk": {
+ "version": "7.2.0",
+ "resolved": "https://registry.npmjs.org/acorn-walk/-/acorn-walk-7.2.0.tgz",
+ "integrity": "sha512-OPdCF6GsMIP+Az+aWfAAOEt2/+iVDKE7oy6lJ098aoe59oAmK76qV6Gw60SbZ8jHuG2wH058GF4pLFbYamYrVA==",
+ "dev": true,
+ "engines": {
+ "node": ">=0.4.0"
+ }
},
- "agent-base": {
+ "node_modules/agent-base": {
"version": "4.3.0",
"resolved": "https://registry.npmjs.org/agent-base/-/agent-base-4.3.0.tgz",
"integrity": "sha512-salcGninV0nPrwpGNn4VTXBb1SOuXQBiqbrNXoeizJsHrsL6ERFM2Ne3JUSBWRE6aeNJI2ROP/WEEIDUiDe3cg==",
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@@ -2928,26 +10794,26 @@
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@@ -2960,55 +10826,60 @@
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+ "integrity": "sha1-qBFcVeSnAv5NFQq9OHKCKn4J/Jg=",
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+ "integrity": "sha1-ajhfuIU9lS1f8F0Oiq+UJ43GPc8=",
+ "dev": true,
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"dev": true,
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@@ -3031,6 +10902,21 @@
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+ "integrity": "sha512-QfAUtd+vFdAtFQcC8CCyYt1fYWxSqAiK2cSD6zDB8N3cpsEBAvRxp9zOGg6G/SHHJYAT88/az/IuDGALsNVbGg==",
+ "dev": true,
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+ "integrity": "sha1-p9BVi9icQveV3UIyj3QIMcpTvCU=",
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@@ -3048,26 +10934,72 @@
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+ "resolved": "https://registry.npmjs.org/grunt-known-options/-/grunt-known-options-1.1.1.tgz",
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+ "dev": true
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+ "grunt-legacy-log": {
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+ "resolved": "https://registry.npmjs.org/grunt-legacy-log/-/grunt-legacy-log-3.0.0.tgz",
+ "integrity": "sha512-GHZQzZmhyq0u3hr7aHW4qUH0xDzwp2YXldLPZTCjlOeGscAOWWPftZG3XioW8MasGp+OBRIu39LFx14SLjXRcA==",
+ "dev": true,
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+ "dev": true,
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+ "grunt-legacy-util": {
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+ "resolved": "https://registry.npmjs.org/grunt-legacy-util/-/grunt-legacy-util-2.0.0.tgz",
+ "integrity": "sha512-ZEmYFB44bblwPE2oz3q3ygfF6hseQja9tx8I3UZIwbUik32FMWewA+d1qSFicMFB+8dNXDkh35HcDCWlpRsGlA==",
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"getobject": "~0.1.0",
"hooker": "~0.2.3",
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+ "integrity": "sha1-7GphrlZIDAw8skHJVhjiCJL5Zyo=",
+ "dev": true
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+ "integrity": "sha512-HxJdYWq1MTIQbJ3nw0cqssHoTNU267KlrDuGZ1WYlxDStUtKUhOaJmh112/TZmHxxUfuJqPXSOm7tDyas0OSIQ==",
+ "dev": true,
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},
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- "integrity": "sha1-ozUlcHsvqC6y9/syMFE/fKJ5v2A=",
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+ "version": "5.0.2",
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+ "integrity": "sha1-I5Kaiz9Fpmxfqx9hRuYrWEGLeII=",
+ "dev": true,
+ "requires": {}
},
"grunt-saucelabs": {
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@@ -3084,54 +11016,32 @@
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- "integrity": "sha1-Zs+LEBBHInuVus5uodoMF37Vwi8=",
+ "version": "3.0.0",
+ "resolved": "https://registry.npmjs.org/gzip-size/-/gzip-size-3.0.0.tgz",
+ "integrity": "sha1-VGGI6b3DN/Zzdy+BZgRks4nc5SA=",
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- "integrity": "sha1-8/dSL073gjSNqBYbrZ7P1Rv4OnU=",
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+ "duplexer": "^0.1.1"
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@@ -5787,6 +13328,15 @@
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+ "dev": true
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@@ -5840,9 +13407,21 @@
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+ "dev": true
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- "integrity": "sha1-Wyn2qB9wcXFC4J52W76rl7T4HiE=",
- "dev": true
+ "string-width": {
+ "version": "2.1.1",
+ "resolved": "https://registry.npmjs.org/string-width/-/string-width-2.1.1.tgz",
+ "integrity": "sha512-nOqH59deCq9SRHlxq1Aw85Jnt4w6KvLKqWVik6oA9ZklXLNIOlqg4F2yrT1MVaTjAqvVwdfeZ7w7aCvJD7ugkw==",
+ "dev": true,
+ "requires": {
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+ "strip-ansi": "^4.0.0"
+ }
+ },
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+ "resolved": "https://registry.npmjs.org/strip-ansi/-/strip-ansi-4.0.0.tgz",
+ "integrity": "sha1-qEeQIusaw2iocTibY1JixQXuNo8=",
+ "dev": true,
+ "requires": {
+ "ansi-regex": "^3.0.0"
+ }
}
}
},
+ "word-wrap": {
+ "version": "1.2.3",
+ "resolved": "https://registry.npmjs.org/word-wrap/-/word-wrap-1.2.3.tgz",
+ "integrity": "sha512-Hz/mrNwitNRh/HUAtM/VT/5VH+ygD6DV7mYKZAtHOrbs8U7lvPS6xf7EJKMF0uW1KJCl0H701g3ZGus+muE5vQ==",
+ "dev": true
+ },
"wordwrap": {
"version": "1.0.0",
"resolved": "https://registry.npmjs.org/wordwrap/-/wordwrap-1.0.0.tgz",
"integrity": "sha1-J1hIEIkUVqQXHI0CJkQa3pDLyus=",
"dev": true
},
+ "workerpool": {
+ "version": "6.0.2",
+ "resolved": "https://registry.npmjs.org/workerpool/-/workerpool-6.0.2.tgz",
+ "integrity": "sha512-DSNyvOpFKrNusaaUwk+ej6cBj1bmhLcBfj80elGk+ZIo5JSkq+unB1dLKEOcNfJDZgjGICfhQ0Q5TbP0PvF4+Q==",
+ "dev": true
+ },
"wrap-ansi": {
"version": "5.1.0",
"resolved": "https://registry.npmjs.org/wrap-ansi/-/wrap-ansi-5.1.0.tgz",
@@ -6938,6 +14841,33 @@
"color-convert": "^1.9.0"
}
},
+ "color-convert": {
+ "version": "1.9.3",
+ "resolved": "https://registry.npmjs.org/color-convert/-/color-convert-1.9.3.tgz",
+ "integrity": "sha512-QfAUtd+vFdAtFQcC8CCyYt1fYWxSqAiK2cSD6zDB8N3cpsEBAvRxp9zOGg6G/SHHJYAT88/az/IuDGALsNVbGg==",
+ "dev": true,
+ "requires": {
+ "color-name": "1.1.3"
+ }
+ },
+ "color-name": {
+ "version": "1.1.3",
+ "resolved": "https://registry.npmjs.org/color-name/-/color-name-1.1.3.tgz",
+ "integrity": "sha1-p9BVi9icQveV3UIyj3QIMcpTvCU=",
+ "dev": true
+ },
+ "emoji-regex": {
+ "version": "7.0.3",
+ "resolved": "https://registry.npmjs.org/emoji-regex/-/emoji-regex-7.0.3.tgz",
+ "integrity": "sha512-CwBLREIQ7LvYFB0WyRvwhq5N5qPhc6PMjD6bYggFlI5YyDgl+0vxq5VHbMOFqLg7hfWzmu8T5Z1QofhmTIhItA==",
+ "dev": true
+ },
+ "is-fullwidth-code-point": {
+ "version": "2.0.0",
+ "resolved": "https://registry.npmjs.org/is-fullwidth-code-point/-/is-fullwidth-code-point-2.0.0.tgz",
+ "integrity": "sha1-o7MKXE8ZkYMWeqq5O+764937ZU8=",
+ "dev": true
+ },
"string-width": {
"version": "3.1.0",
"resolved": "https://registry.npmjs.org/string-width/-/string-width-3.1.0.tgz",
@@ -6966,100 +14896,59 @@
"integrity": "sha1-tSQ9jz7BqjXxNkYFvA0QNuMKtp8=",
"dev": true
},
- "xml2js": {
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- "resolved": "https://registry.npmjs.org/xml2js/-/xml2js-0.4.19.tgz",
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- "dev": true,
- "requires": {
- "sax": ">=0.6.0",
- "xmlbuilder": "~9.0.1"
- },
- "dependencies": {
- "xmlbuilder": {
- "version": "9.0.7",
- "resolved": "https://registry.npmjs.org/xmlbuilder/-/xmlbuilder-9.0.7.tgz",
- "integrity": "sha1-Ey7mPS7FVlxVfiD0wi35rKaGsQ0=",
- "dev": true
- }
- }
- },
- "xmlbuilder": {
- "version": "3.1.0",
- "resolved": "https://registry.npmjs.org/xmlbuilder/-/xmlbuilder-3.1.0.tgz",
- "integrity": "sha1-LIaIjy1OrehQ+jjKf3Ij9yCVFuE=",
+ "ws": {
+ "version": "3.3.3",
+ "resolved": "https://registry.npmjs.org/ws/-/ws-3.3.3.tgz",
+ "integrity": "sha512-nnWLa/NwZSt4KQJu51MYlCcSQ5g7INpOrOMt4XV8j4dqTXdmlUmSHQ8/oLC069ckre0fRsgfvsKwbTdtKLCDkA==",
"dev": true,
"requires": {
- "lodash": "^3.5.0"
+ "async-limiter": "~1.0.0",
+ "safe-buffer": "~5.1.0",
+ "ultron": "~1.1.0"
},
"dependencies": {
- "lodash": {
- "version": "3.10.1",
- "resolved": "https://registry.npmjs.org/lodash/-/lodash-3.10.1.tgz",
- "integrity": "sha1-W/Rejkm6QYnhfUgnid/RW9FAt7Y=",
+ "safe-buffer": {
+ "version": "5.1.2",
+ "resolved": "https://registry.npmjs.org/safe-buffer/-/safe-buffer-5.1.2.tgz",
+ "integrity": "sha512-Gd2UZBJDkXlY7GbJxfsE8/nvKkUEU1G38c1siN6QP6a9PT9MmHB8GnpscSmMJSoF8LOIrt8ud/wPtojys4G6+g==",
"dev": true
}
}
},
"xtend": {
- "version": "4.0.1",
- "resolved": "https://registry.npmjs.org/xtend/-/xtend-4.0.1.tgz",
- "integrity": "sha1-pcbVMr5lbiPbgg77lDofBJmNY68=",
+ "version": "4.0.2",
+ "resolved": "https://registry.npmjs.org/xtend/-/xtend-4.0.2.tgz",
+ "integrity": "sha512-LKYU1iAXJXUgAXn9URjiu+MWhyUXHsvfp7mcuYm9dSUKK0/CjtrUwFAxD82/mCWbtLsGjFIad0wIsod4zrTAEQ==",
"dev": true
},
"y18n": {
+ "version": "4.0.1",
+ "resolved": "https://registry.npmjs.org/y18n/-/y18n-4.0.1.tgz",
+ "integrity": "sha512-wNcy4NvjMYL8gogWWYAO7ZFWFfHcbdbE57tZO8e4cbpj8tfUcwrwqSl3ad8HxpYWCdXcJUCeKKZS62Av1affwQ==",
+ "dev": true
+ },
+ "yallist": {
"version": "4.0.0",
- "resolved": "https://registry.npmjs.org/y18n/-/y18n-4.0.0.tgz",
- "integrity": "sha512-r9S/ZyXu/Xu9q1tYlpsLIsa3EeLXXk0VwlxqTcFRfg9EhMW+17kbt9G0NrgCmhGb5vT2hyhJZLfDGx+7+5Uj/w==",
+ "resolved": "https://registry.npmjs.org/yallist/-/yallist-4.0.0.tgz",
+ "integrity": "sha512-3wdGidZyq5PB084XLES5TpOSRA3wjXAlIWMhum2kRcv/41Sn2emQ0dycQW4uZXLejwKvg6EsvbdlVL+FYEct7A==",
"dev": true
},
"yargs": {
- "version": "3.10.0",
- "resolved": "https://registry.npmjs.org/yargs/-/yargs-3.10.0.tgz",
- "integrity": "sha1-9+572FfdfB0tOMDnTvvWgdFDH9E=",
- "dev": true,
- "requires": {
- "camelcase": "^1.0.2",
- "cliui": "^2.1.0",
- "decamelize": "^1.0.0",
- "window-size": "0.1.0"
- },
- "dependencies": {
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- "version": "1.2.1",
- "resolved": "https://registry.npmjs.org/camelcase/-/camelcase-1.2.1.tgz",
- "integrity": "sha1-m7UwTS4LVmmLLHWLCKPqqdqlijk=",
- "dev": true
- }
- }
- },
- "yargs-parser": {
- "version": "13.1.1",
- "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-13.1.1.tgz",
- "integrity": "sha512-oVAVsHz6uFrg3XQheFII8ESO2ssAf9luWuAd6Wexsu4F3OtIW0o8IribPXYrD4WC24LWtPrJlGy87y5udK+dxQ==",
- "dev": true,
- "requires": {
- "camelcase": "^5.0.0",
- "decamelize": "^1.2.0"
- },
- "dependencies": {
- "camelcase": {
- "version": "5.3.1",
- "resolved": "https://registry.npmjs.org/camelcase/-/camelcase-5.3.1.tgz",
- "integrity": "sha512-L28STB170nwWS63UjtlEOE3dldQApaJXZkOI1uMFfzf3rRuPegHaHesyee+YxQ+W6SvRDQV6UrdOdRiR153wJg==",
- "dev": true
- }
- }
- },
- "yargs-unparser": {
- "version": "1.6.0",
- "resolved": "https://registry.npmjs.org/yargs-unparser/-/yargs-unparser-1.6.0.tgz",
- "integrity": "sha512-W9tKgmSn0DpSatfri0nx52Joq5hVXgeLiqR/5G0sZNDoLZFOr/xjBUDcShCOGNsBnEMNo1KAMBkTej1Hm62HTw==",
+ "version": "13.3.2",
+ "resolved": "https://registry.npmjs.org/yargs/-/yargs-13.3.2.tgz",
+ "integrity": "sha512-AX3Zw5iPruN5ie6xGRIDgqkT+ZhnRlZMLMHAs8tg7nRruy2Nb+i5o9bwghAogtM08q1dpr2LVoS8KSTMYpWXUw==",
"dev": true,
"requires": {
- "flat": "^4.1.0",
- "lodash": "^4.17.15",
- "yargs": "^13.3.0"
+ "cliui": "^5.0.0",
+ "find-up": "^3.0.0",
+ "get-caller-file": "^2.0.1",
+ "require-directory": "^2.1.1",
+ "require-main-filename": "^2.0.0",
+ "set-blocking": "^2.0.0",
+ "string-width": "^3.0.0",
+ "which-module": "^2.0.0",
+ "y18n": "^4.0.0",
+ "yargs-parser": "^13.1.2"
},
"dependencies": {
"ansi-regex": {
@@ -7068,16 +14957,11 @@
"integrity": "sha512-1apePfXM1UOSqw0o9IiFAovVz9M5S1Dg+4TrDwfMewQ6p/rmMueb7tWZjQ1rx4Loy1ArBggoqGpfqqdI4rondg==",
"dev": true
},
- "cliui": {
- "version": "5.0.0",
- "resolved": "https://registry.npmjs.org/cliui/-/cliui-5.0.0.tgz",
- "integrity": "sha512-PYeGSEmmHM6zvoef2w8TPzlrnNpXIjTipYK780YswmIP9vjxmd6Y2a3CB2Ks6/AU8NHjZugXvo8w3oWM2qnwXA==",
- "dev": true,
- "requires": {
- "string-width": "^3.1.0",
- "strip-ansi": "^5.2.0",
- "wrap-ansi": "^5.1.0"
- }
+ "emoji-regex": {
+ "version": "7.0.3",
+ "resolved": "https://registry.npmjs.org/emoji-regex/-/emoji-regex-7.0.3.tgz",
+ "integrity": "sha512-CwBLREIQ7LvYFB0WyRvwhq5N5qPhc6PMjD6bYggFlI5YyDgl+0vxq5VHbMOFqLg7hfWzmu8T5Z1QofhmTIhItA==",
+ "dev": true
},
"find-up": {
"version": "3.0.0",
@@ -7088,10 +14972,44 @@
"locate-path": "^3.0.0"
}
},
- "lodash": {
- "version": "4.17.15",
- "resolved": "https://registry.npmjs.org/lodash/-/lodash-4.17.15.tgz",
- "integrity": "sha512-8xOcRHvCjnocdS5cpwXQXVzmmh5e5+saE2QGoeQmbKmRS6J3VQppPOIt0MnmE+4xlZoumy0GPG0D0MVIQbNA1A==",
+ "is-fullwidth-code-point": {
+ "version": "2.0.0",
+ "resolved": "https://registry.npmjs.org/is-fullwidth-code-point/-/is-fullwidth-code-point-2.0.0.tgz",
+ "integrity": "sha1-o7MKXE8ZkYMWeqq5O+764937ZU8=",
+ "dev": true
+ },
+ "locate-path": {
+ "version": "3.0.0",
+ "resolved": "https://registry.npmjs.org/locate-path/-/locate-path-3.0.0.tgz",
+ "integrity": "sha512-7AO748wWnIhNqAuaty2ZWHkQHRSNfPVIsPIfwEOWO22AmaoVrWavlOcMR5nzTLNYvp36X220/maaRsrec1G65A==",
+ "dev": true,
+ "requires": {
+ "p-locate": "^3.0.0",
+ "path-exists": "^3.0.0"
+ }
+ },
+ "p-limit": {
+ "version": "2.3.0",
+ "resolved": "https://registry.npmjs.org/p-limit/-/p-limit-2.3.0.tgz",
+ "integrity": "sha512-//88mFWSJx8lxCzwdAABTJL2MyWB12+eIY7MDL2SqLmAkeKU9qxRvWuSyTjm3FUmpBEMuFfckAIqEaVGUDxb6w==",
+ "dev": true,
+ "requires": {
+ "p-try": "^2.0.0"
+ }
+ },
+ "p-locate": {
+ "version": "3.0.0",
+ "resolved": "https://registry.npmjs.org/p-locate/-/p-locate-3.0.0.tgz",
+ "integrity": "sha512-x+12w/To+4GFfgJhBEpiDcLozRJGegY+Ei7/z0tSLkMmxGZNybVMSfWj9aJn8Z5Fc7dBUNJOOVgPv2H7IwulSQ==",
+ "dev": true,
+ "requires": {
+ "p-limit": "^2.0.0"
+ }
+ },
+ "path-exists": {
+ "version": "3.0.0",
+ "resolved": "https://registry.npmjs.org/path-exists/-/path-exists-3.0.0.tgz",
+ "integrity": "sha1-zg6+ql94yxiSXqfYENe1mwEP1RU=",
"dev": true
},
"string-width": {
@@ -7113,26 +15031,50 @@
"requires": {
"ansi-regex": "^4.1.0"
}
+ }
+ }
+ },
+ "yargs-parser": {
+ "version": "13.1.2",
+ "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-13.1.2.tgz",
+ "integrity": "sha512-3lbsNRf/j+A4QuSZfDRA7HRSfWrzO0YjqTJd5kjAq37Zep1CEgaYmrH9Q3GwPiB9cHyd1Y1UwggGhJGoxipbzg==",
+ "dev": true,
+ "requires": {
+ "camelcase": "^5.0.0",
+ "decamelize": "^1.2.0"
+ }
+ },
+ "yargs-unparser": {
+ "version": "2.0.0",
+ "resolved": "https://registry.npmjs.org/yargs-unparser/-/yargs-unparser-2.0.0.tgz",
+ "integrity": "sha512-7pRTIA9Qc1caZ0bZ6RYRGbHJthJWuakf+WmHK0rVeLkNrrGhfoabBNdue6kdINI6r4if7ocq9aD/n7xwKOdzOA==",
+ "dev": true,
+ "requires": {
+ "camelcase": "^6.0.0",
+ "decamelize": "^4.0.0",
+ "flat": "^5.0.2",
+ "is-plain-obj": "^2.1.0"
+ },
+ "dependencies": {
+ "camelcase": {
+ "version": "6.2.0",
+ "resolved": "https://registry.npmjs.org/camelcase/-/camelcase-6.2.0.tgz",
+ "integrity": "sha512-c7wVvbw3f37nuobQNtgsgG9POC9qMbNuMQmTCqZv23b6MIz0fcYpBiOlv9gEN/hdLdnZTDQhg6e9Dq5M1vKvfg==",
+ "dev": true
},
- "yargs": {
- "version": "13.3.0",
- "resolved": "https://registry.npmjs.org/yargs/-/yargs-13.3.0.tgz",
- "integrity": "sha512-2eehun/8ALW8TLoIl7MVaRUrg+yCnenu8B4kBlRxj3GJGDKU1Og7sMXPNm1BYyM1DOJmTZ4YeN/Nwxv+8XJsUA==",
- "dev": true,
- "requires": {
- "cliui": "^5.0.0",
- "find-up": "^3.0.0",
- "get-caller-file": "^2.0.1",
- "require-directory": "^2.1.1",
- "require-main-filename": "^2.0.0",
- "set-blocking": "^2.0.0",
- "string-width": "^3.0.0",
- "which-module": "^2.0.0",
- "y18n": "^4.0.0",
- "yargs-parser": "^13.1.1"
- }
+ "decamelize": {
+ "version": "4.0.0",
+ "resolved": "https://registry.npmjs.org/decamelize/-/decamelize-4.0.0.tgz",
+ "integrity": "sha512-9iE1PgSik9HeIIw2JO94IidnE3eBoQrFJ3w7sFuzSX4DpmZ3v5sZpUiV5Swcf6mQEF+Y0ru8Neo+p+nyh2J+hQ==",
+ "dev": true
}
}
+ },
+ "yocto-queue": {
+ "version": "0.1.0",
+ "resolved": "https://registry.npmjs.org/yocto-queue/-/yocto-queue-0.1.0.tgz",
+ "integrity": "sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==",
+ "dev": true
}
}
}
diff --git a/package.json b/package.json
index 960c456d..2fbf525d 100644
--- a/package.json
+++ b/package.json
@@ -1,15 +1,14 @@
{
"name": "elliptic",
- "version": "6.5.3",
+ "version": "6.6.1",
"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/"
@@ -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..47543b63 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));
});
}
@@ -25,3 +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());
+ });
+ });
+});
diff --git a/test/ecdsa-test.js b/test/ecdsa-test.js
index 831ac199..4e34c928 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'),
@@ -471,18 +475,62 @@ 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);
+ });
});
+
+ it('Wycheproof special hash case with hex', function() {
+ var curve = new elliptic.ec('p192');
+ var msg =
+ '00000000690ed426ccf17803ebe2bd0884bcd58a1bb5e7477ead3645f356e7a9';
+ var sig = '303502186f20676c0d04fc40ea55d5702f798355787363a9' +
+ '1e97a7e50219009d1c8c171b2b02e7d791c204c17cea4cf5' +
+ '56a2034288885b';
+ var pub = '04cd35a0b18eeb8fcd87ff019780012828745f046e785deb' +
+ 'a28150de1be6cb4376523006beff30ff09b4049125ced29723';
+ var pubKey = curve.keyFromPublic(pub, 'hex');
+ assert(pubKey.verify(msg, sig) === true);
+ });
+
+ it('Wycheproof special hash case with Array', function() {
+ var curve = new elliptic.ec('p192');
+ var msg = [
+ 0x00, 0x00, 0x00, 0x00, 0x69, 0x0e, 0xd4, 0x26, 0xcc, 0xf1, 0x78,
+ 0x03, 0xeb, 0xe2, 0xbd, 0x08, 0x84, 0xbc, 0xd5, 0x8a, 0x1b, 0xb5,
+ 0xe7, 0x47, 0x7e, 0xad, 0x36, 0x45, 0xf3, 0x56, 0xe7, 0xa9,
+ ];
+ var sig = '303502186f20676c0d04fc40ea55d5702f798355787363a9' +
+ '1e97a7e50219009d1c8c171b2b02e7d791c204c17cea4cf5' +
+ '56a2034288885b';
+ var pub = '04cd35a0b18eeb8fcd87ff019780012828745f046e785deb' +
+ 'a28150de1be6cb4376523006beff30ff09b4049125ced29723';
+ var pubKey = curve.keyFromPublic(pub, 'hex');
+ assert(pubKey.verify(msg, sig) === true);
+ });
+
+ it('Wycheproof special hash case with BN', function() {
+ var curve = new elliptic.ec('p192');
+ var msg = new BN(
+ '00000000690ed426ccf17803ebe2bd0884bcd58a1bb5e7477ead3645f356e7a9',
+ 16,
+ );
+ var sig = '303502186f20676c0d04fc40ea55d5702f798355787363a9' +
+ '1e97a7e50219009d1c8c171b2b02e7d791c204c17cea4cf5' +
+ '56a2034288885b';
+ var pub = '04cd35a0b18eeb8fcd87ff019780012828745f046e785deb' +
+ 'a28150de1be6cb4376523006beff30ff09b4049125ced29723';
+ var pubKey = curve.keyFromPublic(pub, 'hex');
+ assert(pubKey.verify(msg, sig, { msgBitLength: 32 * 8 }) === true);
});
describe('Signature', 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": "3DCAF2029B85DDD65AC6D863927F406B77A54A705B17464345C82E4AABD79113",
- "y": "A6839B9CDEC7DECE49135BE39399152BAD6815112E9E89DDB477395B1907F548",
- "z": "B62515FA9AA8A7FB07086E86E7F73DCDDD0B927E8B7E326FBE466979FB7CB83C"
- }
- },
- {
- "A_P": {
- "x": "5329FF24D2ED11EE84E06C406A92116CE9BB1FAB71A37BAFBBC1D37710ABD82F",
- "y": "FDE4FBA030AD002F7C2F7D4C331F49D13FB0EC747ECEEBEC634F1FF4CBCA9D6F"
- },
- "secret_hex": "0000000000000000000000000000000000000000000000000000000000000005",
- "A_hex": "FDE4FBA030AD002F7C2F7D4C331F49D13FB0EC747ECEEBEC634F1FF4CBCA9DEF",
- "a_hex": "68400007754114F090B6017737FFF04625E130E81E8911ACB693C2DE09C9D44A",
- "A_P3": {
- "t": "19AD864706915468B3AF0EF289F2F8E6AD395C310A41296A56274D56DB00BB43",
- "x": "927BAAE4166DA67B704C01951656AD08E1EEB86FC9A660E162804C4082350C4E",
- "y": "0137599720132A088087422C445510BE4FD34EE8CFB5C36BA7538D7B0AE8965B",
- "z": "8045D54356296A1BE7046C815DA4845D5394C6CAEDB19233CF06E9891E7FCB2E"
- }
- },
- {
- "A_P": {
- "x": "EC1AF88A760D2D49B64E4D298FA1AA3AB3411106FBC1FC089DDC2D9359D88D51",
- "y": "B4C92AFB3BA57F3AB959FFE6D319C98484A2155A0F4C65B2C37011FFD197B075"
- },
- "secret_hex": "0000000000000000000000000000000000000000000000000000000000000006",
- "A_hex": "B4C92AFB3BA57F3AB959FFE6D319C98484A2155A0F4C65B2C37011FFD197B075",
- "a_hex": "F0028917CEA28E5F814218114C296DF02001D4274F14988E4ADE955FA247A76E",
- "A_P3": {
- "t": "1C3249E99E8DEA08FAE8FBEFC830AEEBE6A1BDF4ECB6EB97A906EF1FC2A36A33",
- "x": "6FF604BB6CF9DCBE216E8EAC643823949E5163CF76EE1ACF7645A44C7DA79258",
- "y": "6832DFE2878B14052C3C1ED796E9E999A2A1A69596B0F57DF088EFD7A3C5F678",
- "z": "7B5034CB458BC7CE75256BDEEA1BE4791F39D6FC710ACFF8C4391AB8AC2FD064"
- }
- },
- {
- "A_P": {
- "x": "7BE96A69ED6BAC8A9FD1262CEB86ADEC04351300FE1B57D3668C8D0F8BC59B2E",
- "y": "3EE2A8A7283CB2FD728943DAA127EF09E483071A8B4BC699BA4522F09B14CF5E"
- },
- "secret_hex": "0000000000000000000000000000000000000000000000000000000000000007",
- "A_hex": "3EE2A8A7283CB2FD728943DAA127EF09E483071A8B4BC699BA4522F09B14CFDE",
- "a_hex": "80EC047F5F13EB564DA178C5CD80E48BB12623F2DAA54E8721C0859EED65BA76",
- "A_P3": {
- "t": "9D5875447DE97E4C7AE16310E8D1A2E697D4FD50658C60881C23C43B7ADFB97D",
- "x": "21B70DDE10CF04DD2F9378052DB18EC8FB2BBE9C1646C81C69D3E572B1960B38",
- "y": "5B1ABB7B7169B892BBD0374ECF3CAA50D8F44CA139910E27B6BB139723DFF85A",
- "z": "F6A974E4E780B5621B1AA9F68162C85EADB7796F467F115302B543271F293C22"
- }
- },
- {
- "A_P": {
- "x": "F23C94F232A7805EF365B091B9A00B783D75D55B74A0AE062467F34834CE3079",
- "y": "BE3B4F95D1D875D71DD2FACF6C5E4DA57C1A2C79DEAD9E1FC5C3B5C1DE54C022"
- },
- "secret_hex": "0000000000000000000000000000000000000000000000000000000000000008",
- "A_hex": "BE3B4F95D1D875D71DD2FACF6C5E4DA57C1A2C79DEAD9E1FC5C3B5C1DE54C022",
- "a_hex": "98CD48385AA48121929EC151418785CF54F32C0DA6EABF3C16C7632EAD0C365A",
- "A_P3": {
- "t": "8C5F28AF1D0A7FC2CCC1077504016ABFF530A8EE9DD13A8616801CA059B6B164",
- "x": "CFA2DFC59ED9A11BBDFD2D753425BB7742873C2C6ADEC14F975C996A5B50F06E",
- "y": "DAA409EDE4FB0013B41976A692D7812235DBDD0F7FB74DA2E5BB94FA57EF9D52",
- "z": "9FC2402A0C0F43FA3B8989C74D06B9A84D192D828009D1C8E95CCAE223A52044"
- }
- },
- {
- "A_P": {
- "x": "9E34FB375E9589311E4A656D12A520FC55401D7F8EDF9B94CCD6CDB71C0FE914",
- "y": "DD7E84D010AED28A416E928F50C4C09AC0F94A8F5B346548168BDDB61CDB7263"
- },
- "secret_hex": "0000000000000000000000000000000000000000000000000000000000000009",
- "A_hex": "DD7E84D010AED28A416E928F50C4C09AC0F94A8F5B346548168BDDB61CDB7263",
- "a_hex": "C034C707C8568ED4DAEB13FF193DB66D22950140B68E018CA8429BC354E40469",
- "A_P3": {
- "t": "ECB4590D7D4FF073CB00D600B186FEC82DBE67010D9196D47E841AFD158D550F",
- "x": "7579C11CE1E8F7CCCF97381D64614096ECC93F7F2039DC15FFD7020E37C4FF63",
- "y": "ABA0227A20A6B78D063B3E9DB73571AD86123CEE73FC8963681D9C65D657CD4B",
- "z": "30329A7C4164F182679D48A07A42317E2D8B2E8B3A354859F5C1604CCC49AA69"
- }
- },
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+ 'a_hex': '803DDE2C39AF5F2A0A6676601998354075E14E8F225CB3909A129EFF1F70C35F',
+ 'A_P3': {
+ 't': 'E2ACEDBB2C48A2CD425D3748FBE2653318712874B0FE4EFA4C3DA04F78363554',
+ 'x': '2DCF17492AF55FCEDE3F04D9A3E8E9196AF878C442483861CF37E72EACE62743',
+ 'y': 'E56C47D9615EB8B29E0DD765C17B1615BD3EA3A3B8B21A0E6CEEB9585C185D6E',
+ 'z': '28F81BA5D691E1A3E509363F08FF7598379F92C8588895A7E750BBFBFB28E763',
+ },
+ },
+ {
+ 'A_P': {
+ 'x': '07827DE41C82A8C033226185AECD05ADC6427EA9815905CB5A496F93A0C86257',
+ 'y': '466295A7552441AF82398493FDBDB99B166B6ED12134E6518DB1439D190ED848',
+ },
+ 'secret_hex': '00000000000000000000000000000000000000000000000000000000000000FA',
+ 'A_hex': '466295A7552441AF82398493FDBDB99B166B6ED12134E6518DB1439D190ED8C8',
+ 'a_hex': 'F0B92C4122778E0BEF2AD67A993DA64E966F46CAEE005C0F805F40DB7A5E1750',
+ 'A_P3': {
+ 't': '373F9B3C2C9A0CFF9B5835453275BA2595DB7583746D27C1198DFA1346389C57',
+ 'x': '0A5DD89B977B3211F3378B0FBA17A7FB41CFC88A0EF093F42B1728B8F9F18B56',
+ 'y': 'C52EDA59C5227D0C0B1501D228FF2225C6E38B91A60F4481D4BF7453A586133B',
+ 'z': 'BC677C756513F10ECC2A0C1CF648A654FD8D8FC4B6829C903C19E9049849593A',
+ },
+ },
+ {
+ 'A_P': {
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+ 'y': '8C79AE9C7B65F1CC52C3E6371EC732B8B2D5E0CCB29C84FB307BA74E0157EE50',
+ },
+ 'secret_hex': '00000000000000000000000000000000000000000000000000000000000000FB',
+ 'A_hex': '8C79AE9C7B65F1CC52C3E6371EC732B8B2D5E0CCB29C84FB307BA74E0157EE50',
+ 'a_hex': 'A0A051ACDC79CA71F699F19981ACDE15E7038C9ABEBE9A715DC1F71A311D564A',
+ 'A_P3': {
+ 't': '21520618A4F56F54D9AD052B25765A53407896AA46025222471002FA28004B02',
+ 'x': '43EE1B8A2A96F07B63DD451AA1C506D550B091CCA3CD37BFB9FB3528F1AC010E',
+ 'y': '3A1D6C05B981AA51D90F5324B44858193A9C31E4461DAEFE5B1DEC5ABC6B4402',
+ 'z': '4567225D3B43D9EF25734CD6C8E31C28FE26140123B4075628A5F1E6E4CBD57D',
+ },
+ },
+ {
+ 'A_P': {
+ 'x': '054B72EEBD6D44E61B0E71C5A1EC0052228F83E735AE3DA8075CE542327BF719',
+ 'y': 'BC8BF954BD128CE290EBAFB1622E2E7383FB80F890CC25855C2857CB7800375B',
+ },
+ 'secret_hex': '00000000000000000000000000000000000000000000000000000000000000FC',
+ 'A_hex': 'BC8BF954BD128CE290EBAFB1622E2E7383FB80F890CC25855C2857CB780037DB',
+ 'a_hex': 'E8FF00B22CEAFF2A8900DF5F2D10576E30392ABC64467F1FE2EEC3400B02DE4A',
+ 'A_P3': {
+ 't': '4DDBC7707F77D1D7FD0232EF88797529117DEAC722261312BDD88EB04C76B31E',
+ 'x': '28BBDCF3EF4C310F82564083B0BF5D17779A2715820F9098917B2C1500B8C507',
+ 'y': '10037D5E01D5B12079473C95CCE172E87B6351D0464DEF585270C0023A845F54',
+ 'z': 'F31261509749EA90BDDCB46C339A1B3EC8E9B21DC1225CDEC72D2352D74DAA64',
+ },
+ },
+ {
+ 'A_P': {
+ 'x': 'DB9AE4D0684E5D323B15F247A334335AEF2CA684EAB9249C5EAE38475110CF43',
+ 'y': '4AAD32FA0A505CF7B1DD63F29C250ADB36E0BD43B7A0D533F705BAEBF12F8F13',
+ },
+ 'secret_hex': '00000000000000000000000000000000000000000000000000000000000000FD',
+ 'A_hex': '4AAD32FA0A505CF7B1DD63F29C250ADB36E0BD43B7A0D533F705BAEBF12F8F93',
+ 'a_hex': 'B839FAEC15080CEB2A801C9831D5BBF1446D8A48FFBD1177A5EA39F80E63DB45',
+ 'A_P3': {
+ 't': '35EDA5B6D5F34E557BD05627B47BB536F00E74DB958027ECB48843B660E4F67D',
+ 'x': '5B8F15614AA0C63B7254338FC2288BE6C1A44A131AF3A50E504E294B2E4AEF2E',
+ 'y': '4099514853CC5C28FE292C6D869E32CB59E227294483B0C745E3D10AE500B079',
+ 'z': 'EBC77A19C28F848989857286B0A488E91A8E6D65FDF6BA5AA209F85F8E3C0301',
+ },
+ },
+ {
+ 'A_P': {
+ 'x': 'BFE029C669EFA0BDEA2B91D328BB7264536BDA0793FC154E863DE7BD8B980129',
+ 'y': '97D62BD763ECB9C88A28B23FC89A92DD0DE06329777944E250666D93888B7016',
+ },
+ 'secret_hex': '00000000000000000000000000000000000000000000000000000000000000FE',
+ 'A_hex': '97D62BD763ECB9C88A28B23FC89A92DD0DE06329777944E250666D93888B7096',
+ 'a_hex': 'F8E32C0C15C7538700F7706C5BE3454535491F61177023D0BF36ABB57D369572',
+ 'A_P3': {
+ 't': '67C018E17DDDA67B714AAFB690D5AECB25229EA1992CDFD02ED5083BDF039453',
+ 'x': 'AEF012FE7CD5D6C53336853AA8C9AFCDF4C290D4570104C7291638F872283358',
+ 'y': 'A78754BD8F57CAE409CE700EDC2CA65F98E207E4D2C533DF71E606669CBE3F7F',
+ 'z': 'D78AB8C20291E9FA8C6B0DEABDEA4F4B72443EC01EF0E7E09E0F90BF2C413155',
+ },
+ },
+ {
+ 'A_P': {
+ 'x': '83BD73833015D14166D70C86D3B86D91CD793EA778CC675DD97A53FDD320701B',
+ 'y': '5699A9CEF870E2FF0C022B67689CC76FE05E90915C5F0143F9356CA72F4AFF19',
+ },
+ 'secret_hex': '00000000000000000000000000000000000000000000000000000000000000FF',
+ 'A_hex': '5699A9CEF870E2FF0C022B67689CC76FE05E90915C5F0143F9356CA72F4AFF99',
+ 'a_hex': 'B81127040FA2A161A4BC1CDEA87B395A41C9C7C330157211ED19DBA9F451A770',
+ 'A_P3': {
+ 't': '36083BD4EFC25DF58E531CD4BEF35F0CA0F7F60E4D6051758A6DFCB1EAE12E48',
+ 'x': 'E9E057577B4D5EF4FD9CCCFD613D58C14AC0C7C8D595D9DD7B41BD4FCF68DD1E',
+ 'y': '0AA035B09972CA1FAB9B6D19F39E1A117E2652EE639E46FE4626ED7C1039A775',
+ 'z': '008DA0D804F913979A2BAD096C8C68BCE7DF5A6E4E7C5BDD3DE104E6024E8B05',
+ },
+ },
];
diff --git a/test/index.js b/test/index.js
index 34fa06db..1343c9ea 100644
--- a/test/index.js
+++ b/test/index.js
@@ -1,3 +1,6 @@
+/* eslint-env node, mocha */
+'use strict';
+
describe('Test specs', function () {
require('./api-test.js');
require('./curve-test.js');