/* Copyright 2008-2013 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 = {}; } if (typeof(Clipperz.Crypto.ECC.BinaryField) == 'undefined') { Clipperz.Crypto.ECC.BinaryField = {}; } 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; if (aPointA.isZero()) { result = aPointB; } else if (aPointB.isZero()) { result = aPointA; } else if ( (aPointA.x().compare(aPointB.x()) == 0) && ((aPointA.y().compare(aPointB.y()) != 0) || aPointB.x().isZero())) { result = new Clipperz.Crypto.ECC.BinaryField.Point({x:Clipperz.Crypto.ECC.BinaryField.Value.O, y:Clipperz.Crypto.ECC.BinaryField.Value.O}); } else { var f2m; var x, y; var lambda; var aX, aY, bX, bY; aX = aPointA.x()._value; aY = aPointA.y()._value; bX = aPointB.x()._value; bY = aPointB.y()._value; f2m = this.finiteField(); if (aPointA.x().compare(aPointB.x()) != 0) { lambda = f2m._fastMultiply( f2m._add(aY, bY), f2m._inverse(f2m._add(aX, bX)) ); x = f2m._add(this.a()._value, f2m._square(lambda)); f2m._overwriteAdd(x, lambda); f2m._overwriteAdd(x, aX); f2m._overwriteAdd(x, bX); } else { lambda = f2m._add(bX, f2m._fastMultiply(bY, f2m._inverse(bX))); x = f2m._add(this.a()._value, f2m._square(lambda)); f2m._overwriteAdd(x, lambda); } y = f2m._fastMultiply(f2m._add(bX, x), lambda); f2m._overwriteAdd(y, x); f2m._overwriteAdd(y, bY); result = new Clipperz.Crypto.ECC.BinaryField.Point({x:new Clipperz.Crypto.ECC.BinaryField.Value(x), y:new Clipperz.Crypto.ECC.BinaryField.Value(y)}) } return result; }, //----------------------------------------------------------------------------- 'addTwice': function(aPointA) { return this.add(aPointA, aPointA); }, //----------------------------------------------------------------------------- 'overwriteAdd': function(aPointA, aPointB) { if (aPointA.isZero()) { // result = aPointB; aPointA._x._value = aPointB._x._value; aPointA._y._value = aPointB._y._value; } else if (aPointB.isZero()) { // result = aPointA; } else if ( (aPointA.x().compare(aPointB.x()) == 0) && ((aPointA.y().compare(aPointB.y()) != 0) || aPointB.x().isZero())) { // result = new Clipperz.Crypto.ECC.BinaryField.Point({x:Clipperz.Crypto.ECC.BinaryField.Value.O, y:Clipperz.Crypto.ECC.BinaryField.Value.O}); aPointA._x = Clipperz.Crypto.ECC.BinaryField.Value.O; aPointA._y = Clipperz.Crypto.ECC.BinaryField.Value.O; } else { var f2m; var x, y; var lambda; var aX, aY, bX, bY; aX = aPointA.x()._value; aY = aPointA.y()._value; bX = aPointB.x()._value; bY = aPointB.y()._value; f2m = this.finiteField(); if (aPointA.x().compare(aPointB.x()) != 0) { lambda = f2m._fastMultiply( f2m._add(aY, bY), f2m._inverse(f2m._add(aX, bX)) ); x = f2m._add(this.a()._value, f2m._square(lambda)); f2m._overwriteAdd(x, lambda); f2m._overwriteAdd(x, aX); f2m._overwriteAdd(x, bX); } else { lambda = f2m._add(bX, f2m._fastMultiply(bY, f2m._inverse(bX))); x = f2m._add(this.a()._value, f2m._square(lambda)); f2m._overwriteAdd(x, lambda); } y = f2m._fastMultiply(f2m._add(bX, x), lambda); f2m._overwriteAdd(y, x); f2m._overwriteAdd(y, bY); // result = new Clipperz.Crypto.ECC.BinaryField.Point({x:new Clipperz.Crypto.ECC.BinaryField.Value(x), y:new Clipperz.Crypto.ECC.BinaryField.Value(y)}) aPointA._x._value = x; aPointA._y._value = y; } 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.Value.O) > 0) { k = aValue; Q = aPoint; } else { Clipperz.logError("The Clipperz.Crypto.ECC.BinaryFields.Value does not work with negative values!!!!"); k = aValue.negate(); Q = this.negate(aPoint); } for (i=k.bitSize()-1; i>=0; i--) { result = this.add(result, result); // this.overwriteAdd(result, result); if (k.isBitSet(i)) { result = this.add(result, Q); // this.overwriteAdd(result, Q); } // if (countIndex==100) {Clipperz.log("multiply.break"); break;} else countIndex++; } } //console.profileEnd(); return result; }, //----------------------------------------------------------------------------- 'deferredMultiply': function(aValue, aPoint) { var deferredResult; var result; Clipperz.log(">>> deferredMultiply - value: " + aValue + ", point: " + aPoint); //console.profile("ECC.Curve.multiply"); deferredResult = new MochiKit.Async.Deferred(); //deferredResult.addCallback(function(res) {console.profile("ECC.Curve.deferredMultiply"); return res;} ); //deferredResult.addBoth(function(res) {Clipperz.logDebug("# 1: " + res); return res;}); result = new Clipperz.Crypto.ECC.BinaryField.Point({x:Clipperz.Crypto.ECC.BinaryField.Value.O, y:Clipperz.Crypto.ECC.BinaryField.Value.O}); //deferredResult.addBoth(function(res) {Clipperz.logDebug("# 2: " + res); return res;}); if (aValue.isZero() == false) { var k, Q; var i; var countIndex; countIndex = 0; if (aValue.compare(Clipperz.Crypto.ECC.BinaryField.Value.O) > 0) { k = aValue; Q = aPoint; } else { Clipperz.logError("The Clipperz.Crypto.ECC.BinaryFields.Value does not work with negative values!!!!"); k = aValue.negate(); Q = this.negate(aPoint); } for (i=k.bitSize()-1; i>=0; i--) { deferredResult.addMethod(this, "addTwice"); //# result = this.add(result, result); // this.overwriteAdd(result, result); if (k.isBitSet(i)) { deferredResult.addMethod(this, "add", Q); //# result = this.add(result, Q); // this.overwriteAdd(result, Q); } if (i%20 == 0) {deferredResult.addCallback(MochiKit.Async.wait, 0.1);} } } //#console.profileEnd(); //deferredResult.addBoth(function(res) {console.profileEnd(); return res;}); deferredResult.callback(result); //# return result; return deferredResult; }, //----------------------------------------------------------------------------- __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.BinaryField.Curve({ modulus: new Clipperz.Crypto.ECC.BinaryField.Value('08000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000425', 16), a: new Clipperz.Crypto.ECC.BinaryField.Value('0', 16), b: new Clipperz.Crypto.ECC.BinaryField.Value('1', 16), G: new Clipperz.Crypto.ECC.BinaryField.Point({ x: new Clipperz.Crypto.ECC.BinaryField.Value('026eb7a8 59923fbc 82189631 f8103fe4 ac9ca297 0012d5d4 60248048 01841ca4 43709584 93b205e6 47da304d b4ceb08c bbd1ba39 494776fb 988b4717 4dca88c7 e2945283 a01c8972', 16), y: new Clipperz.Crypto.ECC.BinaryField.Value('0349dc80 7f4fbf37 4f4aeade 3bca9531 4dd58cec 9f307a54 ffc61efc 006d8a2c 9d4979c0 ac44aea7 4fbebbb9 f772aedc b620b01a 7ba7af1b 320430c8 591984f6 01cd4c14 3ef1c7a3', 16) }), r: new Clipperz.Crypto.ECC.BinaryField.Value('02000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 131850e1 f19a63e4 b391a8db 917f4138 b630d84b e5d63938 1e91deb4 5cfe778f 637c1001', 16), h: new Clipperz.Crypto.ECC.BinaryField.Value('4', 16) }); } return Clipperz.Crypto.ECC.StandardCurves._K571; }, '_K283': null, 'K283': function() { // f(z) = z^283 + z^12 + z^7 + z^5 + 1 if (Clipperz.Crypto.ECC.StandardCurves._K283 == null) { Clipperz.Crypto.ECC.StandardCurves._K283 = new Clipperz.Crypto.ECC.BinaryField.Curve({ modulus: new Clipperz.Crypto.ECC.BinaryField.Value('08000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 000010a1', 16), a: new Clipperz.Crypto.ECC.BinaryField.Value('0', 16), b: new Clipperz.Crypto.ECC.BinaryField.Value('1', 16), G: new Clipperz.Crypto.ECC.BinaryField.Point({ x: new Clipperz.Crypto.ECC.BinaryField.Value('0503213f 78ca4488 3f1a3b81 62f188e5 53cd265f 23c1567a 16876913 b0c2ac24 58492836', 16), y: new Clipperz.Crypto.ECC.BinaryField.Value('01ccda38 0f1c9e31 8d90f95d 07e5426f e87e45c0 e8184698 e4596236 4e341161 77dd2259', 16) }), r: new Clipperz.Crypto.ECC.BinaryField.Value('01ffffff ffffffff ffffffff ffffffff ffffe9ae 2ed07577 265dff7f 94451e06 1e163c61', 16), h: new Clipperz.Crypto.ECC.BinaryField.Value('4', 16) }); } return Clipperz.Crypto.ECC.StandardCurves._K283; }, */ //----------------------------------------------------------------------------- '_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('0303001d 34b85629 6c16c0d4 0d3cd775 0a93d1d2 955fa80a a5f40fc8 db7b2abd bde53950 f4c0d293 cdd711a3 5b67fb14 99ae6003 8614f139 4abfa3b4 c850d927 e1e7769c 8eec2d19', 16), y: new Clipperz.Crypto.ECC.BinaryField.Value('037bf273 42da639b 6dccfffe b73d69d7 8c6c27a6 009cbbca 1980f853 3921e8a6 84423e43 bab08a57 6291af8f 461bb2a8 b3531d2f 0485c19b 16e2f151 6e23dd3c 1a4827af 1b8ac15b', 16) }), r: new Clipperz.Crypto.ECC.BinaryField.Value('03ffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff e661ce18 ff559873 08059b18 6823851e c7dd9ca1 161de93d 5174d66e 8382e9bb 2fe84e47', 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().slowModule = Clipperz.Crypto.ECC.StandardCurves._B571.finiteField().module; Clipperz.Crypto.ECC.StandardCurves._B571.finiteField().module = function(aValue) { var result; if (aValue.bitSize() > 1140) { Clipperz.logWarning("ECC.StandarCurves.B571.finiteField().module: falling back to default implementation"); result = Clipperz.Crypto.ECC.StandardCurves._B571.finiteField().slowModule(aValue); } else { var C, T; var i; 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.Value(C); } return result; }; } return Clipperz.Crypto.ECC.StandardCurves._B571; }, //----------------------------------------------------------------------------- '_B283': null, 'B283': function() { // f(z) = z^283 + z^12 + z^7 + z^5 + 1 if (Clipperz.Crypto.ECC.StandardCurves._B283 == null) { Clipperz.Crypto.ECC.StandardCurves._B283 = new Clipperz.Crypto.ECC.BinaryField.Curve({ // modulus: new Clipperz.Crypto.ECC.BinaryField.Value('10000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 000010a1', 16), modulus: new Clipperz.Crypto.ECC.BinaryField.Value('08000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 000010a1', 16), a: new Clipperz.Crypto.ECC.BinaryField.Value('1', 16), b: new Clipperz.Crypto.ECC.BinaryField.Value('027b680a c8b8596d a5a4af8a 19a0303f ca97fd76 45309fa2 a581485a f6263e31 3b79a2f5', 16), G: new Clipperz.Crypto.ECC.BinaryField.Point({ x: new Clipperz.Crypto.ECC.BinaryField.Value('05f93925 8db7dd90 e1934f8c 70b0dfec 2eed25b8 557eac9c 80e2e198 f8cdbecd 86b12053', 16), y: new Clipperz.Crypto.ECC.BinaryField.Value('03676854 fe24141c b98fe6d4 b20d02b4 516ff702 350eddb0 826779c8 13f0df45 be8112f4', 16) }), r: new Clipperz.Crypto.ECC.BinaryField.Value('03ffffff ffffffff ffffffff ffffffff ffffef90 399660fc 938a9016 5b042a7c efadb307', 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 2.43 // //----------------------------------------------------------------------------- Clipperz.Crypto.ECC.StandardCurves._B283.finiteField().slowModule = Clipperz.Crypto.ECC.StandardCurves._B283.finiteField().module; Clipperz.Crypto.ECC.StandardCurves._B283.finiteField().module = function(aValue) { var result; if (aValue.bitSize() > 564) { Clipperz.logWarning("ECC.StandarCurves.B283.finiteField().module: falling back to default implementation"); result = Clipperz.Crypto.ECC.StandardCurves._B283.finiteField().slowModule(aValue); } else { var C, T; var i; C = aValue._value.slice(0); for (i=17; i>=9; i--) { T = C[i]; C[i-9] = (((C[i-9] ^ (T<<5) ^ (T<<10) ^ (T<<12) ^ (T<<17)) & 0xffffffff) >>> 0); C[i-8] = ((C[i-8] ^ (T>>>27) ^ (T>>>22) ^ (T>>>20) ^ (T>>>15)) >>> 0); } T = (C[8] >>> 27); C[0] = ((C[0] ^ T ^ ((T<<5) ^ (T<<7) ^ (T<<12)) & 0xffffffff) >>> 0); C[8] = (C[8] & 0x07ffffff); for(i=9; i<=17; i++) { C[i] = 0; } result = new Clipperz.Crypto.ECC.BinaryField.Value(C); } return result; }; } return Clipperz.Crypto.ECC.StandardCurves._B283; }, //----------------------------------------------------------------------------- __syntaxFix__: "syntax fix" }); //#############################################################################