First version of the newly restructured repository

2025-12-17 03:47:04 +01:00 · 2011-10-03 00:56:18 +01:00
parent 597ecfbc02
commit ef68436ac0
729 changed files with 232898 additions and 0 deletions
--- a/frontend/beta/js/Clipperz/Crypto/ECC.js
+++ b/frontend/beta/js/Clipperz/Crypto/ECC.js
@@ -0,0 +1,960 @@
+/*
+
+Copyright 2008-2011 Clipperz Srl
+
+This file is part of Clipperz's Javascript Crypto Library.
+Javascript Crypto Library provides web developers with an extensive
+and efficient set of cryptographic functions. The library aims to
+obtain maximum execution speed while preserving modularity and
+reusability.
+For further information about its features and functionalities please
+refer to http://www.clipperz.com
+
+* Javascript Crypto Library 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.
+
+* Javascript Crypto Library 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 Javascript Crypto Library.  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<c; i++) {
+			var	word;
+		
+			if (i < (c-1)) {
+				word = parseInt(value.substr(stringLength-((i+1)*8), 8), 16);
+			} else {
+				word = parseInt(value.substr(0, stringLength-(i*8)), 16);
+			}
+			
+			this._value[i] = word;
+		}
+	} else if (aValue.constructor == Array) {
+		var itemsToCopy;
+
+		itemsToCopy = aValue.length;
+		while (aValue[itemsToCopy - 1] == 0) {
+			itemsToCopy --;
+		}
+
+		this._value = aValue.slice(0, itemsToCopy);
+	} else if (aValue.constructor == Number) {
+		this._value = [aValue];
+	} else {
+//		throw Clipperz.Crypto.ECC.BinaryField.WordArrayValue.exception.UnsupportedConstructorValueType;
+	}
+	
+	return this;
+}
+
+Clipperz.Crypto.ECC.BinaryField.WordArrayValue.prototype = MochiKit.Base.update(new Clipperz.Crypto.ECC.BinaryField.AbstractValue(), {
+
+	'value': function() {
+		return this._value;
+	},
+
+	//-----------------------------------------------------------------------------
+	
+	'wordSize': function() {
+		return this._value.length
+	},
+
+	//-----------------------------------------------------------------------------
+
+	'clone': function() {
+		return new Clipperz.Crypto.ECC.BinaryField.WordArrayValue(this._value.slice(0));
+	},
+	
+	//-----------------------------------------------------------------------------
+
+	'isZero': function() {
+		return (this.compare(Clipperz.Crypto.ECC.BinaryField.WordArrayValue.O) == 0);
+	},
+
+	//-----------------------------------------------------------------------------
+
+	'asString': function(aBase) {
+		var	result;
+		var i,c;
+		
+		if (aBase != 16) {
+			throw Clipperz.Crypto.ECC.BinaryField.WordArrayValue.exception.UnsupportedBase;
+		}
+		
+		result = "";
+		c = this.wordSize();
+		for (i=0; i<c; i++) {
+			var	wordAsString;
+			
+//			wordAsString = ("00000000" + this.value()[i].toString(16));
+			wordAsString = ("00000000" + this._value[i].toString(16));
+			wordAsString = wordAsString.substring(wordAsString.length - 8);
+			result = wordAsString + result;
+		}
+		
+		result = result.replace(/^(00)* SPACEs THAT SHOULD BE REMOVED TO FIX THIS REGEX /, "");
+		
+		if (result == "") {
+			result = "0";
+		}
+		
+		return result;
+	},
+	
+	//-----------------------------------------------------------------------------
+
+	'shiftLeft': function(aNumberOfBitsToShift) {
+		return new Clipperz.Crypto.ECC.BinaryField.WordArrayValue(Clipperz.Crypto.ECC.BinaryField.WordArrayValue.shiftLeft(this._value, aNumberOfBitsToShift));
+	},
+
+	//-----------------------------------------------------------------------------
+
+	'bitSize': function() {
+		return Clipperz.Crypto.ECC.BinaryField.WordArrayValue.bitSize(this._value);
+	},
+	
+	//-----------------------------------------------------------------------------
+
+	'isBitSet': function(aBitPosition) {
+		return Clipperz.Crypto.ECC.BinaryField.WordArrayValue.isBitSet(this._value, aBitPosition);
+	},
+	
+	//-----------------------------------------------------------------------------
+
+	'xor': function(aValue) {
+		return new Clipperz.Crypto.ECC.BinaryField.WordArrayValue(Clipperz.Crypto.ECC.BinaryField.WordArrayValue.xor(this._value, aValue._value));
+	}, 
+
+	//-----------------------------------------------------------------------------
+
+	'compare': function(aValue) {
+		return Clipperz.Crypto.ECC.BinaryField.WordArrayValue.compare(this._value, aValue._value);
+	},
+	
+	//-----------------------------------------------------------------------------
+	__syntaxFix__: "syntax fix"
+});
+
+Clipperz.Crypto.ECC.BinaryField.WordArrayValue.O = new Clipperz.Crypto.ECC.BinaryField.WordArrayValue('0', 16);
+Clipperz.Crypto.ECC.BinaryField.WordArrayValue.I = new Clipperz.Crypto.ECC.BinaryField.WordArrayValue('1', 16);
+
+Clipperz.Crypto.ECC.BinaryField.WordArrayValue.xor = function(a, b) {
+	var result;
+	var resultSize;
+	var i,c;
+	
+	resultSize = Math.max(a.length, b.length);
+	
+	result = new Array(resultSize);
+	c = resultSize;
+	for (i=0; i<c; i++) {
+//		resultValue[i] = (((this.value()[i] || 0) ^ (aValue.value()[i] || 0)) >>> 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<c; i++) {
+		result[i] = 0;
+	}
+	
+	overflowValue = 0;
+	nextOverflowValue = 0;
+	
+	c = aWordArray.length;
+	for (i=0; i<c; i++) {
+		var	value;
+		var	resultWord;
+
+//		value = this.value()[i];
+		value = aWordArray[i];
+
+		if (numberOfBitsToShift > 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<c) && (result==0); i++) {
+//console.log("compare[" + c + " - " + i + " - 1] " + this.value()[c-i-1] + ", " + aValue.value()[c-i-1]);
+//		result = MochiKit.Base.compare(this.value()[c-i-1], aValue.value()[c-i-1]);
+		result = MochiKit.Base.compare(a[c-i-1], b[c-i-1]);
+	}
+	
+	return result;
+};
+
+
+Clipperz.Crypto.ECC.BinaryField.WordArrayValue['exception']= {
+	'UnsupportedBase':					new MochiKit.Base.NamedError("Clipperz.Crypto.ECC.BinaryField.WordArrayValue.exception.UnsupportedBase"),
+	'UnsupportedConstructorValueType':	new MochiKit.Base.NamedError("Clipperz.Crypto.ECC.BinaryField.WordArrayValue.exception.UnsupportedConstructorValueType")
+};
+
+//*****************************************************************************
+
+//Clipperz.Crypto.ECC.BinaryField.Value	=	Clipperz.Crypto.ECC.BinaryField.BigIntValue;
+Clipperz.Crypto.ECC.BinaryField.Value	=	Clipperz.Crypto.ECC.BinaryField.WordArrayValue;
+
+//#############################################################################
+
+Clipperz.Crypto.ECC.BinaryField.Point = function(args) {
+	args = args || {};
+	this._x = args.x;
+	this._y = args.y;
+	
+	return this;
+}
+
+Clipperz.Crypto.ECC.BinaryField.Point.prototype = MochiKit.Base.update(null, {
+
+	'asString': function() {
+		return "Clipperz.Crypto.ECC.BinaryField.Point (" + this.x() + ", " + this.y() + ")";
+	},
+
+	//-----------------------------------------------------------------------------
+
+	'x': function() {
+		return this._x;
+	},
+	
+	'y': function() {
+		return this._y;
+	},
+
+	//-----------------------------------------------------------------------------
+
+	'isZero': function() {
+		return (this.x().isZero() && this.y().isZero())
+	},
+	
+	//-----------------------------------------------------------------------------
+	__syntaxFix__: "syntax fix"
+});
+
+//#############################################################################
+
+Clipperz.Crypto.ECC.BinaryField.FiniteField = function(args) {
+	args = args || {};
+	this._modulus = args.modulus;
+
+	return this;
+}
+
+Clipperz.Crypto.ECC.BinaryField.FiniteField.prototype = MochiKit.Base.update(null, {
+
+	'asString': function() {
+		return "Clipperz.Crypto.ECC.BinaryField.FiniteField (" + this.modulus().asString() + ")";
+	},
+
+	//-----------------------------------------------------------------------------
+
+	'modulus': function() {
+		return this._modulus;
+	},
+	
+	//-----------------------------------------------------------------------------
+
+	'_module': function(aValue) {
+		var	result;
+		var modulusComparison;
+//console.log(">>> 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<c; i++) {
+			if (a.isBitSet(i) === true) {
+				result = result.xor(valueToXor);
+			}
+			valueToXor = valueToXor.shiftLeft(1);
+		}
+		result = this.module(result);
+
+		return result;
+	},
+* /
+
+	'_multiply': function(a, b) {
+		var result;
+		var valueToXor;
+		var i,c;
+
+		result = [0];
+		valueToXor = b;
+		c = Clipperz.Crypto.ECC.BinaryField.WordArrayValue.bitSize(a);
+		for (i=0; i<c; i++) {
+			if (Clipperz.Crypto.ECC.BinaryField.WordArrayValue.isBitSet(a, i) === true) {
+				result = Clipperz.Crypto.ECC.BinaryField.WordArrayValue.xor(result, valueToXor);
+			}
+			valueToXor = Clipperz.Crypto.ECC.BinaryField.WordArrayValue.shiftLeft(valueToXor, 1);
+		}
+		result = this._module(result);
+
+		return result;
+	},
+
+	'multiply': function(a, b) {
+		return new Clipperz.Crypto.ECC.BinaryField.Value(this._multiply(a._value, b._value));
+	},
+	
+	//-----------------------------------------------------------------------------
+	//
+	//	Guide to Elliptic Curve Cryptography
+	//	Darrel Hankerson, Alfred Menezes, Scott Vanstone
+	//	- Pag: 49, Alorithm 2.34
+	//	
+	//-----------------------------------------------------------------------------
+/ *
+	'square': function(aValue) {
+		var	result;
+		var	t;
+		var i,c;
+		
+		result = [0];
+		t = Math.max(a)
+		c = 32;
+		for (i=0; i<c; i++) {
+			var ii, cc;
+			
+			cc = 
+		}
+		
+		
+		
+		
+		return result;
+	},
+* /	
+	//-----------------------------------------------------------------------------
+
+	'inverse': function(aValue) {
+		var	result;
+		var b, c;
+		var u, v;
+		
+		b = Clipperz.Crypto.ECC.BinaryField.Value.I;
+		c = Clipperz.Crypto.ECC.BinaryField.Value.O;
+		u = this.module(aValue);
+		v = this.modulus();
+		
+		while (u.bitSize() > 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"
+});
+
+//#############################################################################
+*/