/* Copyright 2008-2015 Clipperz Srl This file is part of Clipperz, the online password manager. For further information about its features and functionalities please refer to http://www.clipperz.com. * Clipperz is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. * Clipperz is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Affero General Public License for more details. * You should have received a copy of the GNU Affero General Public License along with Clipperz. If not, see http://www.gnu.org/licenses/. */ /* try { if (typeof(Clipperz.ByteArray) == 'undefined') { throw ""; }} catch (e) { throw "Clipperz.Crypto.ECC depends on Clipperz.ByteArray!"; } if (typeof(Clipperz.Crypto.ECC) == 'undefined') { Clipperz.Crypto.ECC = {}; } //############################################################################# Clipperz.Crypto.ECC.BinaryField = {}; //############################################################################# Clipperz.Crypto.ECC.BinaryField.AbstractValue = function(aValue, aBase) { return this; } Clipperz.Crypto.ECC.BinaryField.AbstractValue.prototype = MochiKit.Base.update(null, { 'asString': function(aBase) { throw Clipperz.Base.exception.AbstractMethod; }, 'isZero': function() { throw Clipperz.Base.exception.AbstractMethod; }, 'shiftLeft': function(aNumberOfBitsToShift) { throw Clipperz.Base.exception.AbstractMethod; }, 'bitSize': function() { throw Clipperz.Base.exception.AbstractMethod; }, 'isBitSet': function(aBitPosition) { throw Clipperz.Base.exception.AbstractMethod; }, 'xor': function(aValue) { throw Clipperz.Base.exception.AbstractMethod; }, 'compare': function(aValue) { throw Clipperz.Base.exception.AbstractMethod; }, //----------------------------------------------------------------------------- __syntaxFix__: "syntax fix" }); //***************************************************************************** / * Clipperz.Crypto.ECC.BinaryField.BigIntValue = function(aValue, aBase) { this._value = new Clipperz.Crypto.BigInt(aValue, aBase); return this; } Clipperz.Crypto.ECC.BinaryField.BigIntValue.prototype = MochiKit.Base.update(new Clipperz.Crypto.ECC.BinaryField.AbstractValue(), { 'value': function() { return this._value; }, //----------------------------------------------------------------------------- 'isZero': function() { return (this.value().compare(Clipperz.Crypto.ECC.BinaryField.BigIntValue.O) == 0); }, //----------------------------------------------------------------------------- 'asString': function(aBase) { return this.value().asString(aBase); }, //----------------------------------------------------------------------------- 'shiftLeft': function(aNumberOfBitsToShift) { return new Clipperz.Crypto.ECC.BinaryField.BigIntValue(this.value().shiftLeft(aNumberOfBitsToShift)); }, //----------------------------------------------------------------------------- 'bitSize': function() { return this.value().bitSize(); }, //----------------------------------------------------------------------------- 'isBitSet': function(aBitPosition) { return this.value().isBitSet(aBitPosition); }, //----------------------------------------------------------------------------- 'xor': function(aValue) { return new Clipperz.Crypto.ECC.BinaryField.BigIntValue(this.value().xor(aValue.value())); }, //----------------------------------------------------------------------------- 'compare': function(aValue) { return this.value().compare(aValue.value()); }, //----------------------------------------------------------------------------- __syntaxFix__: "syntax fix" }); Clipperz.Crypto.ECC.BinaryField.BigIntValue.O = new Clipperz.Crypto.BigInt(0); Clipperz.Crypto.ECC.BinaryField.BigIntValue.I = new Clipperz.Crypto.BigInt(1); * / //***************************************************************************** Clipperz.Crypto.ECC.BinaryField.WordArrayValue = function(aValue, aBase) { if (aValue.constructor == String) { var value; var stringLength; var numberOfWords; var i,c; if (aBase != 16) { throw Clipperz.Crypto.ECC.BinaryField.WordArrayValue.exception.UnsupportedBase; } value = aValue.replace(/ /g, ''); stringLength = value.length; numberOfWords = Math.ceil(stringLength / 8); this._value = new Array(numberOfWords); c = numberOfWords; for (i=0; i>> 0); result[i] = (((a[i] || 0) ^ (b[i] || 0)) >>> 0); } return result; }; Clipperz.Crypto.ECC.BinaryField.WordArrayValue.shiftLeft = function(aWordArray, aNumberOfBitsToShift) { var numberOfWordsToShift; var numberOfBitsToShift; var result; var overflowValue; var i,c; numberOfWordsToShift = Math.floor(aNumberOfBitsToShift / 32); numberOfBitsToShift = aNumberOfBitsToShift % 32; result = new Array(aWordArray.length + numberOfWordsToShift); c = numberOfWordsToShift; for (i=0; i 0) { var nextOverflowValue; nextOverflowValue = (value >>> (32 - numberOfBitsToShift)); value = value & (0xffffffff >>> numberOfBitsToShift); resultWord = (((value << numberOfBitsToShift) | overflowValue) >>> 0); } else { resultWord = value; } result[i+numberOfWordsToShift] = resultWord; overflowValue = nextOverflowValue; } if (overflowValue != 0) { result[aWordArray.length + numberOfWordsToShift] = overflowValue; } return result; }; Clipperz.Crypto.ECC.BinaryField.WordArrayValue.bitSize = function(aWordArray) { var result; var notNullElements; var mostValuableWord; var matchingBitsInMostImportantWord; var mask; var i,c; notNullElements = aWordArray.length; if ((aWordArray.length == 1) && (aWordArray[0] == 0)) { result = 0; } else { while((aWordArray[notNullElements - 1] == 0) && (notNullElements > 0)) { notNullElements --; } result = (notNullElements - 1) * 32; mostValuableWord = aWordArray[notNullElements - 1]; matchingBits = 32; mask = 0x80000000; while ((matchingBits > 0) && ((mostValuableWord & mask) == 0)) { matchingBits --; mask >>>= 1; } result += matchingBits; } return result; }; Clipperz.Crypto.ECC.BinaryField.WordArrayValue.isBitSet = function(aWordArray, aBitPosition) { var result; var byteIndex; var bitIndexInSelectedByte; byteIndex = Math.floor(aBitPosition / 32); bitIndexInSelectedByte = aBitPosition % 32; if (byteIndex <= aWordArray.length) { result = ((aWordArray[byteIndex] & (1 << bitIndexInSelectedByte)) != 0); } else { result = false; } return result; }; Clipperz.Crypto.ECC.BinaryField.WordArrayValue.compare = function(a,b) { var result; var i,c; result = MochiKit.Base.compare(a.length, b.length); c = a.length; for (i=0; (i>> binaryField.finiteField.(standard)module"); modulusComparison = Clipperz.Crypto.ECC.BinaryField.WordArrayValue.compare(aValue, this.modulus()._value); if (modulusComparison < 0) { result = aValue; } else if (modulusComparison == 0) { result = [0]; } else { var modulusBitSize; var resultBitSize; result = aValue; modulusBitSize = this.modulus().bitSize(); resultBitSize = Clipperz.Crypto.ECC.BinaryField.WordArrayValue.bitSize(result); while (resultBitSize >= modulusBitSize) { result = Clipperz.Crypto.ECC.BinaryField.WordArrayValue.xor(result, Clipperz.Crypto.ECC.BinaryField.WordArrayValue.shiftLeft(this.modulus()._value, resultBitSize - modulusBitSize)); resultBitSize = Clipperz.Crypto.ECC.BinaryField.WordArrayValue.bitSize(result); } } //console.log("<<< binaryField.finiteField.(standard)module"); return result; }, 'module': function(aValue) { return new Clipperz.Crypto.ECC.BinaryField.Value(this._module(aValue._value)); }, //----------------------------------------------------------------------------- '_add': function(a, b) { return Clipperz.Crypto.ECC.BinaryField.WordArrayValue.xor(a, b); }, 'add': function(a, b) { return new Clipperz.Crypto.ECC.BinaryField.Value(this._add(a._value, b._value)); }, //----------------------------------------------------------------------------- 'negate': function(aValue) { return aValue.clone(); }, //----------------------------------------------------------------------------- / * 'multiply': function(a, b) { var result; var valueToXor; var i,c; result = Clipperz.Crypto.ECC.BinaryField.Value.O; valueToXor = b; c = a.bitSize(); for (i=0; i 1) { var bitDifferenceSize; bitDifferenceSize = u.bitSize() - v.bitSize(); if (bitDifferenceSize < 0) { var swap; swap = u; u = v; v = swap; swap = c; c = b; b = swap; bitDifferenceSize = -bitDifferenceSize; } u = this.add(u, v.shiftLeft(bitDifferenceSize)); b = this.add(b, c.shiftLeft(bitDifferenceSize)) } result = this.module(b); return result; }, //----------------------------------------------------------------------------- __syntaxFix__: "syntax fix" }); //############################################################################# Clipperz.Crypto.ECC.BinaryField.Curve = function(args) { args = args || {}; this._modulus = args.modulus; this._a = args.a; this._b = args.b; this._G = args.G; this._r = args.r; this._h = args.h; this._finiteField = null; return this; } Clipperz.Crypto.ECC.BinaryField.Curve.prototype = MochiKit.Base.update(null, { 'asString': function() { return "Clipperz.Crypto.ECC.BinaryField.Curve"; }, //----------------------------------------------------------------------------- 'modulus': function() { return this._modulus; }, 'a': function() { return this._a; }, 'b': function() { return this._b; }, 'G': function() { return this._G; }, 'r': function() { return this._r; }, 'h': function() { return this._h; }, //----------------------------------------------------------------------------- 'finiteField': function() { if (this._finiteField == null) { this._finiteField = new Clipperz.Crypto.ECC.BinaryField.FiniteField({modulus:this.modulus()}) } return this._finiteField; }, //----------------------------------------------------------------------------- 'negate': function(aPointA) { var result; result = new Clipperz.Crypto.ECC.Point({x:aPointA.x(), y:this.finiteField().add(aPointA.y(), aPointA.x())}) return result; }, //----------------------------------------------------------------------------- 'add': function(aPointA, aPointB) { var result; //console.log(">>> ECC.BinaryField.Curve.add"); if (aPointA.isZero()) { //console.log("--- pointA == zero"); result = aPointB; } else if (aPointB.isZero()) { //console.log("--- pointB == zero"); result = aPointA; } else if ( (aPointA.x().compare(aPointB.x()) == 0) && ((aPointA.y().compare(aPointB.y()) != 0) || aPointB.x().isZero())) { //console.log("compare A.x - B.x: ", aPointA.x().compare(aPointB.x())); //console.log("compare A.y - B.y: ", (aPointA.y().compare(aPointB.y()) != 0)); //console.log("compare B.x.isZero(): ", aPointB.x().isZero()); //console.log("--- result = zero"); result = new Clipperz.Crypto.ECC.BinaryField.Point({x:Clipperz.Crypto.ECC.BinaryField.Value.O, y:Clipperz.Crypto.ECC.BinaryField.Value.O}); } else { //console.log("--- result = ELSE"); var f2m; var x, y; var lambda; f2m = this.finiteField(); if (aPointA.x().compare(aPointB.x()) != 0) { //console.log(" a.x != b.x"); lambda = f2m.multiply( f2m.add(aPointA.y(), aPointB.y()), f2m.inverse(f2m.add(aPointA.x(), aPointB.x())) ); x = f2m.add(this.a(), f2m.multiply(lambda, lambda)); x = f2m.add(x, lambda); x = f2m.add(x, aPointA.x()); x = f2m.add(x, aPointB.x()); } else { //console.log(" a.x == b.x"); lambda = f2m.add(aPointB.x(), f2m.multiply(aPointB.y(), f2m.inverse(aPointB.x()))); //console.log(" lambda: " + lambda.asString(16)); x = f2m.add(this.a(), f2m.multiply(lambda, lambda)); //console.log(" x (step 1): " + x.asString(16)); x = f2m.add(x, lambda); //console.log(" x (step 2): " + x.asString(16)); } y = f2m.multiply(f2m.add(aPointB.x(), x), lambda); //console.log(" y (step 1): " + y.asString(16)); y = f2m.add(y, x); //console.log(" y (step 2): " + y.asString(16)); y = f2m.add(y, aPointB.y()); //console.log(" y (step 3): " + y.asString(16)); result = new Clipperz.Crypto.ECC.BinaryField.Point({x:x, y:y}) } //console.log("<<< ECC.BinaryField.Curve.add"); return result; }, //----------------------------------------------------------------------------- 'multiply': function(aValue, aPoint) { var result; console.profile(); result = new Clipperz.Crypto.ECC.BinaryField.Point({x:Clipperz.Crypto.ECC.BinaryField.Value.O, y:Clipperz.Crypto.ECC.BinaryField.Value.O}); if (aValue.isZero() == false) { var k, Q; var i; var countIndex; countIndex = 0; if (aValue.compare(Clipperz.Crypto.ECC.BinaryField.WordArrayValue.O) > 0) { k = aValue; Q = aPoint; } else { MochiKit.Logging.logError("The Clipperz.Crypto.ECC.BinaryFields.Value does not work with negative values!!!!"); k = aValue.negate(); Q = this.negate(aPoint); } //console.log("k: " + k.toString(16)); //console.log("k.bitSize: " + k.bitSize()); for (i=k.bitSize()-1; i>=0; i--) { result = this.add(result, result); if (k.isBitSet(i)) { result = this.add(result, Q); } // if (countIndex==100) {console.log("multiply.break"); break;} else countIndex++; } } console.profileEnd(); return result; }, //----------------------------------------------------------------------------- __syntaxFix__: "syntax fix" }); //############################################################################# //############################################################################# / * Clipperz.Crypto.ECC.Key = function(args) { args = args || {}; return this; } Clipperz.Crypto.ECC.Key.prototype = MochiKit.Base.update(null, { 'asString': function() { return "Clipperz.Crypto.ECC.Key"; }, //----------------------------------------------------------------------------- __syntaxFix__: "syntax fix" }); * / //############################################################################# //############################################################################# Clipperz.Crypto.ECC.StandardCurves = {}; MochiKit.Base.update(Clipperz.Crypto.ECC.StandardCurves, { / * '_K571': null, 'K571': function() { if (Clipperz.Crypto.ECC.StandardCurves._K571 == null) { Clipperz.Crypto.ECC.StandardCurves._K571 = new Clipperz.Crypto.ECC.Curve.Koblitz({ exadecimalForm: '80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425', a: new Clipperz.Crypto.BigInt(0), G: new Clipperz.Crypto.ECC.Point({ x: new Clipperz.Crypto.BigInt('26eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972', 16), y: new Clipperz.Crypto.BigInt('349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3', 16) }), n: new Clipperz.Crypto.BigInt('1932268761508629172347675945465993672149463664853217499328617625725759571144780212268133978522706711834706712800825351461273674974066617311929682421617092503555733685276673', 16), h: new Clipperz.Crypto.BigInt(4) }); } return Clipperz.Crypto.ECC.StandardCurves._K571; }, * / //----------------------------------------------------------------------------- '_B571': null, 'B571': function() { // f(z) = z^571 + z^10 + z^5 + z^2 + 1 if (Clipperz.Crypto.ECC.StandardCurves._B571 == null) { Clipperz.Crypto.ECC.StandardCurves._B571 = new Clipperz.Crypto.ECC.BinaryField.Curve({ modulus: new Clipperz.Crypto.ECC.BinaryField.Value('80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425', 16), a: new Clipperz.Crypto.ECC.BinaryField.Value('1', 16), b: new Clipperz.Crypto.ECC.BinaryField.Value('02f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a', 16), G: new Clipperz.Crypto.ECC.BinaryField.Point({ x: new Clipperz.Crypto.ECC.BinaryField.Value('0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19', 16), y: new Clipperz.Crypto.ECC.BinaryField.Value('037bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b', 16) }), // r: new Clipperz.Crypto.ECC.BinaryField.Value('3864537523017258344695351890931987344298927329706434998657235251451519142289560424536143999389415773083133881121926944486246872462816813070234528288303332411393191105285703', 10), r: new Clipperz.Crypto.ECC.BinaryField.Value('03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47', 16), h: new Clipperz.Crypto.ECC.BinaryField.Value('2', 16) // S: new Clipperz.Crypto.ECC.BinaryField.Value('2aa058f73a0e33ab486b0f610410c53a7f132310', 10), // n: new Clipperz.Crypto.ECC.BinaryField.Value('03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47', 16), }); //----------------------------------------------------------------------------- // // Guide to Elliptic Curve Cryptography // Darrel Hankerson, Alfred Menezes, Scott Vanstone // - Pag: 56, Alorithm 2.45 (with a typo!!!) // //----------------------------------------------------------------------------- // // http://www.milw0rm.com/papers/136 // // ------------------------------------------------------------------------- // Polynomial Reduction Algorithm Modulo f571 // ------------------------------------------------------------------------- // // Input: Polynomial p(x) of degree 1140 or less, stored as // an array of 2T machinewords. // Output: p(x) mod f571(x) // // FOR i = T-1, ..., 0 DO // SET X := P[i+T] // P[i] := P[i] ^ (X<<5) ^ (X<<7) ^ (X<<10) ^ (X<<15) // P[i+1] := P[i+1] ^ (X>>17) ^ (X>>22) ^ (X>>25) ^ (X>>27) // // SET X := P[T-1] >> 27 // P[0] := P[0] ^ X ^ (X<<2) ^ (X<<5) ^ (X<<10) // P[T-1] := P[T-1] & 0x07ffffff // // RETURN P[T-1],...,P[0] // // ------------------------------------------------------------------------- // Clipperz.Crypto.ECC.StandardCurves._B571.finiteField().module = function(aValue) { var result; var C, T; var i; //console.log(">>> binaryField.finiteField.(improved)module"); // C = aValue.value().slice(0); C = aValue._value.slice(0); for (i=35; i>=18; i--) { T = C[i]; C[i-18] = (((C[i-18] ^ (T<<5) ^ (T<<7) ^ (T<<10) ^ (T<<15)) & 0xffffffff) >>> 0); C[i-17] = ((C[i-17] ^ (T>>>27) ^ (T>>>25) ^ (T>>>22) ^ (T>>>17)) >>> 0); } T = (C[17] >>> 27); C[0] = ((C[0] ^ T ^ ((T<<2) ^ (T<<5) ^ (T<<10)) & 0xffffffff) >>> 0); C[17] = (C[17] & 0x07ffffff); for(i=18; i<=35; i++) { C[i] = 0; } result = new Clipperz.Crypto.ECC.BinaryField.WordArrayValue(C); //console.log("<<< binaryField.finiteField.(improved)module"); return result; }; } return Clipperz.Crypto.ECC.StandardCurves._B571; }, //----------------------------------------------------------------------------- __syntaxFix__: "syntax fix" }); //############################################################################# */