password-manager/frontend/beta/js/Clipperz/Crypto/ECC/BinaryField/Curve.js

/*

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;

//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;
			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) {
//console.log(" a.x != b.x");
				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 {
//console.log(" a.x == b.x");
				lambda = f2m._add(bX, f2m._fastMultiply(bY, f2m._inverse(bX)));
//console.log(" lambda: " + lambda.asString(16));
				x = f2m._add(this.a()._value, f2m._square(lambda));
//console.log(" x (step 1): " + x.asString(16));
				f2m._overwriteAdd(x, lambda);
//console.log(" x (step 2): " + x.asString(16));
			}
			
			y = f2m._fastMultiply(f2m._add(bX, x), lambda);
//console.log(" y (step 1): " + y.asString(16));
			f2m._overwriteAdd(y, x);
//console.log(" y (step 2): " + y.asString(16));
			f2m._overwriteAdd(y, bY);
//console.log(" y (step 3): " + y.asString(16));

			result = new Clipperz.Crypto.ECC.BinaryField.Point({x:new Clipperz.Crypto.ECC.BinaryField.Value(x), y:new Clipperz.Crypto.ECC.BinaryField.Value(y)})
		}
//console.log("<<< ECC.BinaryField.Curve.add");
		
		return result;
	},

	//-----------------------------------------------------------------------------

	'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) {
//console.log(" a.x != b.x");
				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 {
//console.log(" a.x == b.x");
				lambda = f2m._add(bX, f2m._fastMultiply(bY, f2m._inverse(bX)));
//console.log(" lambda: " + lambda.asString(16));
				x = f2m._add(this.a()._value, f2m._square(lambda));
//console.log(" x (step 1): " + x.asString(16));
				f2m._overwriteAdd(x, lambda);
//console.log(" x (step 2): " + x.asString(16));
			}
			
			y = f2m._fastMultiply(f2m._add(bX, x), lambda);
//console.log(" y (step 1): " + y.asString(16));
			f2m._overwriteAdd(y, x);
//console.log(" y (step 2): " + y.asString(16));
			f2m._overwriteAdd(y, bY);
//console.log(" y (step 3): " + y.asString(16));

//			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;

		}
//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.Value.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);
//				this.overwriteAdd(result, result);
				if (k.isBitSet(i)) {
					result = this.add(result, Q);
//					this.overwriteAdd(result, Q);
				}
				
//				if (countIndex==100) {console.log("multiply.break"); break;} else countIndex++;
			}
		}
//console.profileEnd();
		
		return result;
	},

	//-----------------------------------------------------------------------------
	__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('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) {
					MochiKit.Logging.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;
		
//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.Value(C);
//console.log("<<< binaryField.finiteField.(improved)module");
				}
			
				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) {
					MochiKit.Logging.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;
					
//console.log(">>> binaryField.finiteField.(improved)module");
					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);
//console.log("<<< binaryField.finiteField.(improved)module");
				}
				
				return result;
			};
		}
		
		return Clipperz.Crypto.ECC.StandardCurves._B283;
	},

	//-----------------------------------------------------------------------------
	__syntaxFix__: "syntax fix"
});

//#############################################################################