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https://github.com/gchq/CyberChef.git
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Initial commit
This commit is contained in:
n1474335
commit
b1d73a725d
238 changed files with 105357 additions and 0 deletions
70
src/js/lib/jsbn/base64.js
Executable file
70
src/js/lib/jsbn/base64.js
Executable file
|
|
@ -0,0 +1,70 @@
|
|||
var b64map="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
|
||||
var b64padchar="=";
|
||||
function hex2b64(h) {
|
||||
var i;
|
||||
var c;
|
||||
var ret = "";
|
||||
for(i = 0; i+3 <= h.length; i+=3) {
|
||||
c = parseInt(h.substring(i,i+3),16);
|
||||
ret += b64map.charAt(c >> 6) + b64map.charAt(c & 63);
|
||||
}
|
||||
if(i+1 == h.length) {
|
||||
c = parseInt(h.substring(i,i+1),16);
|
||||
ret += b64map.charAt(c << 2);
|
||||
}
|
||||
else if(i+2 == h.length) {
|
||||
c = parseInt(h.substring(i,i+2),16);
|
||||
ret += b64map.charAt(c >> 2) + b64map.charAt((c & 3) << 4);
|
||||
}
|
||||
while((ret.length & 3) > 0) ret += b64padchar;
|
||||
return ret;
|
||||
}
|
||||
|
||||
// convert a base64 string to hex
|
||||
function b64tohex(s) {
|
||||
var ret = ""
|
||||
var i;
|
||||
var k = 0; // b64 state, 0-3
|
||||
var slop;
|
||||
for(i = 0; i < s.length; ++i) {
|
||||
if(s.charAt(i) == b64padchar) break;
|
||||
var v = b64map.indexOf(s.charAt(i));
|
||||
if(v < 0) continue;
|
||||
if(k == 0) {
|
||||
ret += int2char(v >> 2);
|
||||
slop = v & 3;
|
||||
k = 1;
|
||||
}
|
||||
else if(k == 1) {
|
||||
ret += int2char((slop << 2) | (v >> 4));
|
||||
slop = v & 0xf;
|
||||
k = 2;
|
||||
}
|
||||
else if(k == 2) {
|
||||
ret += int2char(slop);
|
||||
ret += int2char(v >> 2);
|
||||
slop = v & 3;
|
||||
k = 3;
|
||||
}
|
||||
else {
|
||||
ret += int2char((slop << 2) | (v >> 4));
|
||||
ret += int2char(v & 0xf);
|
||||
k = 0;
|
||||
}
|
||||
}
|
||||
if(k == 1)
|
||||
ret += int2char(slop << 2);
|
||||
return ret;
|
||||
}
|
||||
|
||||
// convert a base64 string to a byte/number array
|
||||
function b64toBA(s) {
|
||||
//piggyback on b64tohex for now, optimize later
|
||||
var h = b64tohex(s);
|
||||
var i;
|
||||
var a = new Array();
|
||||
for(i = 0; 2*i < h.length; ++i) {
|
||||
a[i] = parseInt(h.substring(2*i,2*i+2),16);
|
||||
}
|
||||
return a;
|
||||
}
|
||||
288
src/js/lib/jsbn/ec.js
Executable file
288
src/js/lib/jsbn/ec.js
Executable file
|
|
@ -0,0 +1,288 @@
|
|||
// Basic Javascript Elliptic Curve implementation
|
||||
// Ported loosely from BouncyCastle's Java EC code
|
||||
// Only Fp curves implemented for now
|
||||
// Requires jsbn.js and jsbn2.js
|
||||
// ----------------
|
||||
// ECFieldElementFp
|
||||
// constructor
|
||||
function ECFieldElementFp(q,x) {
|
||||
this.x = x;
|
||||
// TODO if(x.compareTo(q) >= 0) error
|
||||
this.q = q;
|
||||
}
|
||||
function feFpEquals(other) {
|
||||
if(other == this) return true;
|
||||
return (this.q.equals(other.q) && this.x.equals(other.x));
|
||||
}
|
||||
function feFpToBigInteger() {
|
||||
return this.x;
|
||||
}
|
||||
function feFpNegate() {
|
||||
return new ECFieldElementFp(this.q, this.x.negate().mod(this.q));
|
||||
}
|
||||
function feFpAdd(b) {
|
||||
return new ECFieldElementFp(this.q, this.x.add(b.toBigInteger()).mod(this.q));
|
||||
}
|
||||
function feFpSubtract(b) {
|
||||
return new ECFieldElementFp(this.q, this.x.subtract(b.toBigInteger()).mod(this.q));
|
||||
}
|
||||
function feFpMultiply(b) {
|
||||
return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger()).mod(this.q));
|
||||
}
|
||||
function feFpSquare() {
|
||||
return new ECFieldElementFp(this.q, this.x.square().mod(this.q));
|
||||
}
|
||||
function feFpDivide(b) {
|
||||
return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger().modInverse(this.q)).mod(this.q));
|
||||
}
|
||||
ECFieldElementFp.prototype.equals = feFpEquals;
|
||||
ECFieldElementFp.prototype.toBigInteger = feFpToBigInteger;
|
||||
ECFieldElementFp.prototype.negate = feFpNegate;
|
||||
ECFieldElementFp.prototype.add = feFpAdd;
|
||||
ECFieldElementFp.prototype.subtract = feFpSubtract;
|
||||
ECFieldElementFp.prototype.multiply = feFpMultiply;
|
||||
ECFieldElementFp.prototype.square = feFpSquare;
|
||||
ECFieldElementFp.prototype.divide = feFpDivide;
|
||||
// ----------------
|
||||
// ECPointFp
|
||||
// constructor
|
||||
function ECPointFp(curve,x,y,z) {
|
||||
this.curve = curve;
|
||||
this.x = x;
|
||||
this.y = y;
|
||||
// Projective coordinates: either zinv == null or z * zinv == 1
|
||||
// z and zinv are just BigIntegers, not fieldElements
|
||||
if(z == null) {
|
||||
this.z = BigInteger.ONE;
|
||||
}
|
||||
else {
|
||||
this.z = z;
|
||||
}
|
||||
this.zinv = null;
|
||||
//TODO: compression flag
|
||||
}
|
||||
function pointFpGetX() {
|
||||
if(this.zinv == null) {
|
||||
this.zinv = this.z.modInverse(this.curve.q);
|
||||
}
|
||||
var r = this.x.toBigInteger().multiply(this.zinv);
|
||||
this.curve.reduce(r);
|
||||
return this.curve.fromBigInteger(r);
|
||||
}
|
||||
function pointFpGetY() {
|
||||
if(this.zinv == null) {
|
||||
this.zinv = this.z.modInverse(this.curve.q);
|
||||
}
|
||||
var r = this.y.toBigInteger().multiply(this.zinv);
|
||||
this.curve.reduce(r);
|
||||
return this.curve.fromBigInteger(r);
|
||||
}
|
||||
function pointFpEquals(other) {
|
||||
if(other == this) return true;
|
||||
if(this.isInfinity()) return other.isInfinity();
|
||||
if(other.isInfinity()) return this.isInfinity();
|
||||
var u, v;
|
||||
// u = Y2 * Z1 - Y1 * Z2
|
||||
u = other.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(other.z)).mod(this.curve.q);
|
||||
if(!u.equals(BigInteger.ZERO)) return false;
|
||||
// v = X2 * Z1 - X1 * Z2
|
||||
v = other.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(other.z)).mod(this.curve.q);
|
||||
return v.equals(BigInteger.ZERO);
|
||||
}
|
||||
function pointFpIsInfinity() {
|
||||
if((this.x == null) && (this.y == null)) return true;
|
||||
return this.z.equals(BigInteger.ZERO) && !this.y.toBigInteger().equals(BigInteger.ZERO);
|
||||
}
|
||||
function pointFpNegate() {
|
||||
return new ECPointFp(this.curve, this.x, this.y.negate(), this.z);
|
||||
}
|
||||
function pointFpAdd(b) {
|
||||
if(this.isInfinity()) return b;
|
||||
if(b.isInfinity()) return this;
|
||||
// u = Y2 * Z1 - Y1 * Z2
|
||||
var u = b.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(b.z)).mod(this.curve.q);
|
||||
// v = X2 * Z1 - X1 * Z2
|
||||
var v = b.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(b.z)).mod(this.curve.q);
|
||||
if(BigInteger.ZERO.equals(v)) {
|
||||
if(BigInteger.ZERO.equals(u)) {
|
||||
return this.twice(); // this == b, so double
|
||||
}
|
||||
return this.curve.getInfinity(); // this = -b, so infinity
|
||||
}
|
||||
var THREE = new BigInteger("3");
|
||||
var x1 = this.x.toBigInteger();
|
||||
var y1 = this.y.toBigInteger();
|
||||
var x2 = b.x.toBigInteger();
|
||||
var y2 = b.y.toBigInteger();
|
||||
var v2 = v.square();
|
||||
var v3 = v2.multiply(v);
|
||||
var x1v2 = x1.multiply(v2);
|
||||
var zu2 = u.square().multiply(this.z);
|
||||
// x3 = v * (z2 * (z1 * u^2 - 2 * x1 * v^2) - v^3)
|
||||
var x3 = zu2.subtract(x1v2.shiftLeft(1)).multiply(b.z).subtract(v3).multiply(v).mod(this.curve.q);
|
||||
// y3 = z2 * (3 * x1 * u * v^2 - y1 * v^3 - z1 * u^3) + u * v^3
|
||||
var y3 = x1v2.multiply(THREE).multiply(u).subtract(y1.multiply(v3)).subtract(zu2.multiply(u)).multiply(b.z).add(u.multiply(v3)).mod(this.curve.q);
|
||||
// z3 = v^3 * z1 * z2
|
||||
var z3 = v3.multiply(this.z).multiply(b.z).mod(this.curve.q);
|
||||
return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3);
|
||||
}
|
||||
function pointFpTwice() {
|
||||
if(this.isInfinity()) return this;
|
||||
if(this.y.toBigInteger().signum() == 0) return this.curve.getInfinity();
|
||||
// TODO: optimized handling of constants
|
||||
var THREE = new BigInteger("3");
|
||||
var x1 = this.x.toBigInteger();
|
||||
var y1 = this.y.toBigInteger();
|
||||
var y1z1 = y1.multiply(this.z);
|
||||
var y1sqz1 = y1z1.multiply(y1).mod(this.curve.q);
|
||||
var a = this.curve.a.toBigInteger();
|
||||
// w = 3 * x1^2 + a * z1^2
|
||||
var w = x1.square().multiply(THREE);
|
||||
if(!BigInteger.ZERO.equals(a)) {
|
||||
w = w.add(this.z.square().multiply(a));
|
||||
}
|
||||
w = w.mod(this.curve.q);
|
||||
//this.curve.reduce(w);
|
||||
// x3 = 2 * y1 * z1 * (w^2 - 8 * x1 * y1^2 * z1)
|
||||
var x3 = w.square().subtract(x1.shiftLeft(3).multiply(y1sqz1)).shiftLeft(1).multiply(y1z1).mod(this.curve.q);
|
||||
// y3 = 4 * y1^2 * z1 * (3 * w * x1 - 2 * y1^2 * z1) - w^3
|
||||
var y3 = w.multiply(THREE).multiply(x1).subtract(y1sqz1.shiftLeft(1)).shiftLeft(2).multiply(y1sqz1).subtract(w.square().multiply(w)).mod(this.curve.q);
|
||||
// z3 = 8 * (y1 * z1)^3
|
||||
var z3 = y1z1.square().multiply(y1z1).shiftLeft(3).mod(this.curve.q);
|
||||
return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3);
|
||||
}
|
||||
// Simple NAF (Non-Adjacent Form) multiplication algorithm
|
||||
// TODO: modularize the multiplication algorithm
|
||||
function pointFpMultiply(k) {
|
||||
if(this.isInfinity()) return this;
|
||||
if(k.signum() == 0) return this.curve.getInfinity();
|
||||
var e = k;
|
||||
var h = e.multiply(new BigInteger("3"));
|
||||
var neg = this.negate();
|
||||
var R = this;
|
||||
var i;
|
||||
for(i = h.bitLength() - 2; i > 0; --i) {
|
||||
R = R.twice();
|
||||
var hBit = h.testBit(i);
|
||||
var eBit = e.testBit(i);
|
||||
if (hBit != eBit) {
|
||||
R = R.add(hBit ? this : neg);
|
||||
}
|
||||
}
|
||||
return R;
|
||||
}
|
||||
// Compute this*j + x*k (simultaneous multiplication)
|
||||
function pointFpMultiplyTwo(j,x,k) {
|
||||
var i;
|
||||
if(j.bitLength() > k.bitLength())
|
||||
i = j.bitLength() - 1;
|
||||
else
|
||||
i = k.bitLength() - 1;
|
||||
var R = this.curve.getInfinity();
|
||||
var both = this.add(x);
|
||||
while(i >= 0) {
|
||||
R = R.twice();
|
||||
if(j.testBit(i)) {
|
||||
if(k.testBit(i)) {
|
||||
R = R.add(both);
|
||||
}
|
||||
else {
|
||||
R = R.add(this);
|
||||
}
|
||||
}
|
||||
else {
|
||||
if(k.testBit(i)) {
|
||||
R = R.add(x);
|
||||
}
|
||||
}
|
||||
--i;
|
||||
}
|
||||
return R;
|
||||
}
|
||||
ECPointFp.prototype.getX = pointFpGetX;
|
||||
ECPointFp.prototype.getY = pointFpGetY;
|
||||
ECPointFp.prototype.equals = pointFpEquals;
|
||||
ECPointFp.prototype.isInfinity = pointFpIsInfinity;
|
||||
ECPointFp.prototype.negate = pointFpNegate;
|
||||
ECPointFp.prototype.add = pointFpAdd;
|
||||
ECPointFp.prototype.twice = pointFpTwice;
|
||||
ECPointFp.prototype.multiply = pointFpMultiply;
|
||||
ECPointFp.prototype.multiplyTwo = pointFpMultiplyTwo;
|
||||
// ----------------
|
||||
// ECCurveFp
|
||||
// constructor
|
||||
function ECCurveFp(q,a,b) {
|
||||
this.q = q;
|
||||
this.a = this.fromBigInteger(a);
|
||||
this.b = this.fromBigInteger(b);
|
||||
this.infinity = new ECPointFp(this, null, null);
|
||||
this.reducer = new Barrett(this.q);
|
||||
}
|
||||
function curveFpGetQ() {
|
||||
return this.q;
|
||||
}
|
||||
function curveFpGetA() {
|
||||
return this.a;
|
||||
}
|
||||
function curveFpGetB() {
|
||||
return this.b;
|
||||
}
|
||||
function curveFpEquals(other) {
|
||||
if(other == this) return true;
|
||||
return(this.q.equals(other.q) && this.a.equals(other.a) && this.b.equals(other.b));
|
||||
}
|
||||
function curveFpGetInfinity() {
|
||||
return this.infinity;
|
||||
}
|
||||
function curveFpFromBigInteger(x) {
|
||||
return new ECFieldElementFp(this.q, x);
|
||||
}
|
||||
function curveReduce(x) {
|
||||
this.reducer.reduce(x);
|
||||
}
|
||||
// for now, work with hex strings because they're easier in JS
|
||||
function curveFpDecodePointHex(s) {
|
||||
switch(parseInt(s.substr(0,2), 16)) { // first byte
|
||||
case 0:
|
||||
return this.infinity;
|
||||
case 2:
|
||||
case 3:
|
||||
// point compression not supported yet
|
||||
return null;
|
||||
case 4:
|
||||
case 6:
|
||||
case 7:
|
||||
var len = (s.length - 2) / 2;
|
||||
var xHex = s.substr(2, len);
|
||||
var yHex = s.substr(len+2, len);
|
||||
return new ECPointFp(this,
|
||||
this.fromBigInteger(new BigInteger(xHex, 16)),
|
||||
this.fromBigInteger(new BigInteger(yHex, 16)));
|
||||
default: // unsupported
|
||||
return null;
|
||||
}
|
||||
}
|
||||
function curveFpEncodePointHex(p) {
|
||||
if (p.isInfinity()) return "00";
|
||||
var xHex = p.getX().toBigInteger().toString(16);
|
||||
var yHex = p.getY().toBigInteger().toString(16);
|
||||
var oLen = this.getQ().toString(16).length;
|
||||
if ((oLen % 2) != 0) oLen++;
|
||||
while (xHex.length < oLen) {
|
||||
xHex = "0" + xHex;
|
||||
}
|
||||
while (yHex.length < oLen) {
|
||||
yHex = "0" + yHex;
|
||||
}
|
||||
return "04" + xHex + yHex;
|
||||
}
|
||||
|
||||
ECCurveFp.prototype.getQ = curveFpGetQ;
|
||||
ECCurveFp.prototype.getA = curveFpGetA;
|
||||
ECCurveFp.prototype.getB = curveFpGetB;
|
||||
ECCurveFp.prototype.equals = curveFpEquals;
|
||||
ECCurveFp.prototype.getInfinity = curveFpGetInfinity;
|
||||
ECCurveFp.prototype.fromBigInteger = curveFpFromBigInteger;
|
||||
ECCurveFp.prototype.reduce = curveReduce;
|
||||
ECCurveFp.prototype.decodePointHex = curveFpDecodePointHex;
|
||||
ECCurveFp.prototype.encodePointHex = curveFpEncodePointHex;
|
||||
591
src/js/lib/jsbn/jsbn.js
Executable file
591
src/js/lib/jsbn/jsbn.js
Executable file
|
|
@ -0,0 +1,591 @@
|
|||
/** @license
|
||||
========================================================================
|
||||
Copyright (c) 2005 Tom Wu
|
||||
All Rights Reserved.
|
||||
Basic JavaScript BN library - subset useful for RSA encryption.
|
||||
|
||||
This software is covered under the following copyright:
|
||||
|
||||
Copyright (c) 2003-2005 Tom Wu
|
||||
All Rights Reserved.
|
||||
|
||||
Permission is hereby granted, free of charge, to any person obtaining
|
||||
a copy of this software and associated documentation files (the
|
||||
"Software"), to deal in the Software without restriction, including
|
||||
without limitation the rights to use, copy, modify, merge, publish,
|
||||
distribute, sublicense, and/or sell copies of the Software, and to
|
||||
permit persons to whom the Software is furnished to do so, subject to
|
||||
the following conditions:
|
||||
|
||||
The above copyright notice and this permission notice shall be
|
||||
included in all copies or substantial portions of the Software.
|
||||
|
||||
THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND,
|
||||
EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
|
||||
WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
|
||||
|
||||
IN NO EVENT SHALL TOM WU BE LIABLE FOR ANY SPECIAL, INCIDENTAL,
|
||||
INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, OR ANY DAMAGES WHATSOEVER
|
||||
RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER OR NOT ADVISED OF
|
||||
THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF LIABILITY, ARISING OUT
|
||||
OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
|
||||
|
||||
In addition, the following condition applies:
|
||||
|
||||
All redistributions must retain an intact copy of this copyright notice
|
||||
and disclaimer.
|
||||
|
||||
Address all questions regarding this license to:
|
||||
Tom Wu
|
||||
tjw@cs.Stanford.EDU
|
||||
*/
|
||||
|
||||
// Bits per digit
|
||||
var dbits;
|
||||
// JavaScript engine analysis
|
||||
var canary = 0xdeadbeefcafe;
|
||||
var j_lm = ((canary&0xffffff)==0xefcafe);
|
||||
// (public) Constructor
|
||||
function BigInteger(a,b,c) {
|
||||
if(a != null)
|
||||
if("number" == typeof a) this.fromNumber(a,b,c);
|
||||
else if(b == null && "string" != typeof a) this.fromString(a,256);
|
||||
else this.fromString(a,b);
|
||||
}
|
||||
// return new, unset BigInteger
|
||||
function nbi() { return new BigInteger(null); }
|
||||
// am: Compute w_j += (x*this_i), propagate carries,
|
||||
// c is initial carry, returns final carry.
|
||||
// c < 3*dvalue, x < 2*dvalue, this_i < dvalue
|
||||
// We need to select the fastest one that works in this environment.
|
||||
|
||||
// am1: use a single mult and divide to get the high bits,
|
||||
// max digit bits should be 26 because
|
||||
// max internal value = 2*dvalue^2-2*dvalue (< 2^53)
|
||||
function am1(i,x,w,j,c,n) {
|
||||
while(--n >= 0) {
|
||||
var v = x*this[i++]+w[j]+c;
|
||||
c = Math.floor(v/0x4000000);
|
||||
w[j++] = v&0x3ffffff;
|
||||
}
|
||||
return c;
|
||||
}
|
||||
// am2 avoids a big mult-and-extract completely.
|
||||
// Max digit bits should be <= 30 because we do bitwise ops
|
||||
// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
|
||||
function am2(i,x,w,j,c,n) {
|
||||
var xl = x&0x7fff, xh = x>>15;
|
||||
while(--n >= 0) {
|
||||
var l = this[i]&0x7fff;
|
||||
var h = this[i++]>>15;
|
||||
var m = xh*l+h*xl;
|
||||
l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff);
|
||||
c = (l>>>30)+(m>>>15)+xh*h+(c>>>30);
|
||||
w[j++] = l&0x3fffffff;
|
||||
}
|
||||
return c;
|
||||
}
|
||||
// Alternately, set max digit bits to 28 since some
|
||||
// browsers slow down when dealing with 32-bit numbers.
|
||||
function am3(i,x,w,j,c,n) {
|
||||
var xl = x&0x3fff, xh = x>>14;
|
||||
while(--n >= 0) {
|
||||
var l = this[i]&0x3fff;
|
||||
var h = this[i++]>>14;
|
||||
var m = xh*l+h*xl;
|
||||
l = xl*l+((m&0x3fff)<<14)+w[j]+c;
|
||||
c = (l>>28)+(m>>14)+xh*h;
|
||||
w[j++] = l&0xfffffff;
|
||||
}
|
||||
return c;
|
||||
}
|
||||
if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) {
|
||||
BigInteger.prototype.am = am2;
|
||||
dbits = 30;
|
||||
}
|
||||
else if(j_lm && (navigator.appName != "Netscape")) {
|
||||
BigInteger.prototype.am = am1;
|
||||
dbits = 26;
|
||||
}
|
||||
else { // Mozilla/Netscape seems to prefer am3
|
||||
BigInteger.prototype.am = am3;
|
||||
dbits = 28;
|
||||
}
|
||||
|
||||
BigInteger.prototype.DB = dbits;
|
||||
BigInteger.prototype.DM = ((1<<dbits)-1);
|
||||
BigInteger.prototype.DV = (1<<dbits);
|
||||
|
||||
var BI_FP = 52;
|
||||
BigInteger.prototype.FV = Math.pow(2,BI_FP);
|
||||
BigInteger.prototype.F1 = BI_FP-dbits;
|
||||
BigInteger.prototype.F2 = 2*dbits-BI_FP;
|
||||
|
||||
// Digit conversions
|
||||
var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
|
||||
var BI_RC = new Array();
|
||||
var rr,vv;
|
||||
rr = "0".charCodeAt(0);
|
||||
for(vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv;
|
||||
rr = "a".charCodeAt(0);
|
||||
for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
|
||||
rr = "A".charCodeAt(0);
|
||||
for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
|
||||
|
||||
function int2char(n) { return BI_RM.charAt(n); }
|
||||
function intAt(s,i) {
|
||||
var c = BI_RC[s.charCodeAt(i)];
|
||||
return (c==null)?-1:c;
|
||||
}
|
||||
|
||||
// (protected) copy this to r
|
||||
function bnpCopyTo(r) {
|
||||
for(var i = this.t-1; i >= 0; --i) r[i] = this[i];
|
||||
r.t = this.t;
|
||||
r.s = this.s;
|
||||
}
|
||||
|
||||
// (protected) set from integer value x, -DV <= x < DV
|
||||
function bnpFromInt(x) {
|
||||
this.t = 1;
|
||||
this.s = (x<0)?-1:0;
|
||||
if(x > 0) this[0] = x;
|
||||
else if(x < -1) this[0] = x+this.DV;
|
||||
else this.t = 0;
|
||||
}
|
||||
|
||||
// return bigint initialized to value
|
||||
function nbv(i) { var r = nbi(); r.fromInt(i); return r; }
|
||||
|
||||
// (protected) set from string and radix
|
||||
function bnpFromString(s,b) {
|
||||
var k;
|
||||
if(b == 16) k = 4;
|
||||
else if(b == 8) k = 3;
|
||||
else if(b == 256) k = 8; // byte array
|
||||
else if(b == 2) k = 1;
|
||||
else if(b == 32) k = 5;
|
||||
else if(b == 4) k = 2;
|
||||
else { this.fromRadix(s,b); return; }
|
||||
this.t = 0;
|
||||
this.s = 0;
|
||||
var i = s.length, mi = false, sh = 0;
|
||||
while(--i >= 0) {
|
||||
var x = (k==8)?s[i]&0xff:intAt(s,i);
|
||||
if(x < 0) {
|
||||
if(s.charAt(i) == "-") mi = true;
|
||||
continue;
|
||||
}
|
||||
mi = false;
|
||||
if(sh == 0)
|
||||
this[this.t++] = x;
|
||||
else if(sh+k > this.DB) {
|
||||
this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<<sh;
|
||||
this[this.t++] = (x>>(this.DB-sh));
|
||||
}
|
||||
else
|
||||
this[this.t-1] |= x<<sh;
|
||||
sh += k;
|
||||
if(sh >= this.DB) sh -= this.DB;
|
||||
}
|
||||
if(k == 8 && (s[0]&0x80) != 0) {
|
||||
this.s = -1;
|
||||
if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)<<sh;
|
||||
}
|
||||
this.clamp();
|
||||
if(mi) BigInteger.ZERO.subTo(this,this);
|
||||
}
|
||||
|
||||
// (protected) clamp off excess high words
|
||||
function bnpClamp() {
|
||||
var c = this.s&this.DM;
|
||||
while(this.t > 0 && this[this.t-1] == c) --this.t;
|
||||
}
|
||||
|
||||
// (public) return string representation in given radix
|
||||
function bnToString(b) {
|
||||
if(this.s < 0) return "-"+this.negate().toString(b);
|
||||
var k;
|
||||
if(b == 16) k = 4;
|
||||
else if(b == 8) k = 3;
|
||||
else if(b == 2) k = 1;
|
||||
else if(b == 32) k = 5;
|
||||
else if(b == 4) k = 2;
|
||||
else return this.toRadix(b);
|
||||
var km = (1<<k)-1, d, m = false, r = "", i = this.t;
|
||||
var p = this.DB-(i*this.DB)%k;
|
||||
if(i-- > 0) {
|
||||
if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); }
|
||||
while(i >= 0) {
|
||||
if(p < k) {
|
||||
d = (this[i]&((1<<p)-1))<<(k-p);
|
||||
d |= this[--i]>>(p+=this.DB-k);
|
||||
}
|
||||
else {
|
||||
d = (this[i]>>(p-=k))&km;
|
||||
if(p <= 0) { p += this.DB; --i; }
|
||||
}
|
||||
if(d > 0) m = true;
|
||||
if(m) r += int2char(d);
|
||||
}
|
||||
}
|
||||
return m?r:"0";
|
||||
}
|
||||
|
||||
// (public) -this
|
||||
function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; }
|
||||
|
||||
// (public) |this|
|
||||
function bnAbs() { return (this.s<0)?this.negate():this; }
|
||||
|
||||
// (public) return + if this > a, - if this < a, 0 if equal
|
||||
function bnCompareTo(a) {
|
||||
var r = this.s-a.s;
|
||||
if(r != 0) return r;
|
||||
var i = this.t;
|
||||
r = i-a.t;
|
||||
if(r != 0) return (this.s<0)?-r:r;
|
||||
while(--i >= 0) if((r=this[i]-a[i]) != 0) return r;
|
||||
return 0;
|
||||
}
|
||||
|
||||
// returns bit length of the integer x
|
||||
function nbits(x) {
|
||||
var r = 1, t;
|
||||
if((t=x>>>16) != 0) { x = t; r += 16; }
|
||||
if((t=x>>8) != 0) { x = t; r += 8; }
|
||||
if((t=x>>4) != 0) { x = t; r += 4; }
|
||||
if((t=x>>2) != 0) { x = t; r += 2; }
|
||||
if((t=x>>1) != 0) { x = t; r += 1; }
|
||||
return r;
|
||||
}
|
||||
|
||||
// (public) return the number of bits in "this"
|
||||
function bnBitLength() {
|
||||
if(this.t <= 0) return 0;
|
||||
return this.DB*(this.t-1)+nbits(this[this.t-1]^(this.s&this.DM));
|
||||
}
|
||||
|
||||
// (protected) r = this << n*DB
|
||||
function bnpDLShiftTo(n,r) {
|
||||
var i;
|
||||
for(i = this.t-1; i >= 0; --i) r[i+n] = this[i];
|
||||
for(i = n-1; i >= 0; --i) r[i] = 0;
|
||||
r.t = this.t+n;
|
||||
r.s = this.s;
|
||||
}
|
||||
|
||||
// (protected) r = this >> n*DB
|
||||
function bnpDRShiftTo(n,r) {
|
||||
for(var i = n; i < this.t; ++i) r[i-n] = this[i];
|
||||
r.t = Math.max(this.t-n,0);
|
||||
r.s = this.s;
|
||||
}
|
||||
|
||||
// (protected) r = this << n
|
||||
function bnpLShiftTo(n,r) {
|
||||
var bs = n%this.DB;
|
||||
var cbs = this.DB-bs;
|
||||
var bm = (1<<cbs)-1;
|
||||
var ds = Math.floor(n/this.DB), c = (this.s<<bs)&this.DM, i;
|
||||
for(i = this.t-1; i >= 0; --i) {
|
||||
r[i+ds+1] = (this[i]>>cbs)|c;
|
||||
c = (this[i]&bm)<<bs;
|
||||
}
|
||||
for(i = ds-1; i >= 0; --i) r[i] = 0;
|
||||
r[ds] = c;
|
||||
r.t = this.t+ds+1;
|
||||
r.s = this.s;
|
||||
r.clamp();
|
||||
}
|
||||
|
||||
// (protected) r = this >> n
|
||||
function bnpRShiftTo(n,r) {
|
||||
r.s = this.s;
|
||||
var ds = Math.floor(n/this.DB);
|
||||
if(ds >= this.t) { r.t = 0; return; }
|
||||
var bs = n%this.DB;
|
||||
var cbs = this.DB-bs;
|
||||
var bm = (1<<bs)-1;
|
||||
r[0] = this[ds]>>bs;
|
||||
for(var i = ds+1; i < this.t; ++i) {
|
||||
r[i-ds-1] |= (this[i]&bm)<<cbs;
|
||||
r[i-ds] = this[i]>>bs;
|
||||
}
|
||||
if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<<cbs;
|
||||
r.t = this.t-ds;
|
||||
r.clamp();
|
||||
}
|
||||
|
||||
// (protected) r = this - a
|
||||
function bnpSubTo(a,r) {
|
||||
var i = 0, c = 0, m = Math.min(a.t,this.t);
|
||||
while(i < m) {
|
||||
c += this[i]-a[i];
|
||||
r[i++] = c&this.DM;
|
||||
c >>= this.DB;
|
||||
}
|
||||
if(a.t < this.t) {
|
||||
c -= a.s;
|
||||
while(i < this.t) {
|
||||
c += this[i];
|
||||
r[i++] = c&this.DM;
|
||||
c >>= this.DB;
|
||||
}
|
||||
c += this.s;
|
||||
}
|
||||
else {
|
||||
c += this.s;
|
||||
while(i < a.t) {
|
||||
c -= a[i];
|
||||
r[i++] = c&this.DM;
|
||||
c >>= this.DB;
|
||||
}
|
||||
c -= a.s;
|
||||
}
|
||||
r.s = (c<0)?-1:0;
|
||||
if(c < -1) r[i++] = this.DV+c;
|
||||
else if(c > 0) r[i++] = c;
|
||||
r.t = i;
|
||||
r.clamp();
|
||||
}
|
||||
|
||||
// (protected) r = this * a, r != this,a (HAC 14.12)
|
||||
// "this" should be the larger one if appropriate.
|
||||
function bnpMultiplyTo(a,r) {
|
||||
var x = this.abs(), y = a.abs();
|
||||
var i = x.t;
|
||||
r.t = i+y.t;
|
||||
while(--i >= 0) r[i] = 0;
|
||||
for(i = 0; i < y.t; ++i) r[i+x.t] = x.am(0,y[i],r,i,0,x.t);
|
||||
r.s = 0;
|
||||
r.clamp();
|
||||
if(this.s != a.s) BigInteger.ZERO.subTo(r,r);
|
||||
}
|
||||
|
||||
// (protected) r = this^2, r != this (HAC 14.16)
|
||||
function bnpSquareTo(r) {
|
||||
var x = this.abs();
|
||||
var i = r.t = 2*x.t;
|
||||
while(--i >= 0) r[i] = 0;
|
||||
for(i = 0; i < x.t-1; ++i) {
|
||||
var c = x.am(i,x[i],r,2*i,0,1);
|
||||
if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1)) >= x.DV) {
|
||||
r[i+x.t] -= x.DV;
|
||||
r[i+x.t+1] = 1;
|
||||
}
|
||||
}
|
||||
if(r.t > 0) r[r.t-1] += x.am(i,x[i],r,2*i,0,1);
|
||||
r.s = 0;
|
||||
r.clamp();
|
||||
}
|
||||
|
||||
// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20)
|
||||
// r != q, this != m. q or r may be null.
|
||||
function bnpDivRemTo(m,q,r) {
|
||||
var pm = m.abs();
|
||||
if(pm.t <= 0) return;
|
||||
var pt = this.abs();
|
||||
if(pt.t < pm.t) {
|
||||
if(q != null) q.fromInt(0);
|
||||
if(r != null) this.copyTo(r);
|
||||
return;
|
||||
}
|
||||
if(r == null) r = nbi();
|
||||
var y = nbi(), ts = this.s, ms = m.s;
|
||||
var nsh = this.DB-nbits(pm[pm.t-1]); // normalize modulus
|
||||
if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); }
|
||||
else { pm.copyTo(y); pt.copyTo(r); }
|
||||
var ys = y.t;
|
||||
var y0 = y[ys-1];
|
||||
if(y0 == 0) return;
|
||||
var yt = y0*(1<<this.F1)+((ys>1)?y[ys-2]>>this.F2:0);
|
||||
var d1 = this.FV/yt, d2 = (1<<this.F1)/yt, e = 1<<this.F2;
|
||||
var i = r.t, j = i-ys, t = (q==null)?nbi():q;
|
||||
y.dlShiftTo(j,t);
|
||||
if(r.compareTo(t) >= 0) {
|
||||
r[r.t++] = 1;
|
||||
r.subTo(t,r);
|
||||
}
|
||||
BigInteger.ONE.dlShiftTo(ys,t);
|
||||
t.subTo(y,y); // "negative" y so we can replace sub with am later
|
||||
while(y.t < ys) y[y.t++] = 0;
|
||||
while(--j >= 0) {
|
||||
// Estimate quotient digit
|
||||
var qd = (r[--i]==y0)?this.DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2);
|
||||
if((r[i]+=y.am(0,qd,r,j,0,ys)) < qd) { // Try it out
|
||||
y.dlShiftTo(j,t);
|
||||
r.subTo(t,r);
|
||||
while(r[i] < --qd) r.subTo(t,r);
|
||||
}
|
||||
}
|
||||
if(q != null) {
|
||||
r.drShiftTo(ys,q);
|
||||
if(ts != ms) BigInteger.ZERO.subTo(q,q);
|
||||
}
|
||||
r.t = ys;
|
||||
r.clamp();
|
||||
if(nsh > 0) r.rShiftTo(nsh,r); // Denormalize remainder
|
||||
if(ts < 0) BigInteger.ZERO.subTo(r,r);
|
||||
}
|
||||
|
||||
// (public) this mod a
|
||||
function bnMod(a) {
|
||||
var r = nbi();
|
||||
this.abs().divRemTo(a,null,r);
|
||||
if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r);
|
||||
return r;
|
||||
}
|
||||
|
||||
// Modular reduction using "classic" algorithm
|
||||
function Classic(m) { this.m = m; }
|
||||
function cConvert(x) {
|
||||
if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m);
|
||||
else return x;
|
||||
}
|
||||
function cRevert(x) { return x; }
|
||||
function cReduce(x) { x.divRemTo(this.m,null,x); }
|
||||
function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
|
||||
function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
|
||||
|
||||
Classic.prototype.convert = cConvert;
|
||||
Classic.prototype.revert = cRevert;
|
||||
Classic.prototype.reduce = cReduce;
|
||||
Classic.prototype.mulTo = cMulTo;
|
||||
Classic.prototype.sqrTo = cSqrTo;
|
||||
|
||||
// (protected) return "-1/this % 2^DB"; useful for Mont. reduction
|
||||
// justification:
|
||||
// xy == 1 (mod m)
|
||||
// xy = 1+km
|
||||
// xy(2-xy) = (1+km)(1-km)
|
||||
// x[y(2-xy)] = 1-k^2m^2
|
||||
// x[y(2-xy)] == 1 (mod m^2)
|
||||
// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2
|
||||
// should reduce x and y(2-xy) by m^2 at each step to keep size bounded.
|
||||
// JS multiply "overflows" differently from C/C++, so care is needed here.
|
||||
function bnpInvDigit() {
|
||||
if(this.t < 1) return 0;
|
||||
var x = this[0];
|
||||
if((x&1) == 0) return 0;
|
||||
var y = x&3; // y == 1/x mod 2^2
|
||||
y = (y*(2-(x&0xf)*y))&0xf; // y == 1/x mod 2^4
|
||||
y = (y*(2-(x&0xff)*y))&0xff; // y == 1/x mod 2^8
|
||||
y = (y*(2-(((x&0xffff)*y)&0xffff)))&0xffff; // y == 1/x mod 2^16
|
||||
// last step - calculate inverse mod DV directly;
|
||||
// assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints
|
||||
y = (y*(2-x*y%this.DV))%this.DV; // y == 1/x mod 2^dbits
|
||||
// we really want the negative inverse, and -DV < y < DV
|
||||
return (y>0)?this.DV-y:-y;
|
||||
}
|
||||
|
||||
// Montgomery reduction
|
||||
function Montgomery(m) {
|
||||
this.m = m;
|
||||
this.mp = m.invDigit();
|
||||
this.mpl = this.mp&0x7fff;
|
||||
this.mph = this.mp>>15;
|
||||
this.um = (1<<(m.DB-15))-1;
|
||||
this.mt2 = 2*m.t;
|
||||
}
|
||||
|
||||
// xR mod m
|
||||
function montConvert(x) {
|
||||
var r = nbi();
|
||||
x.abs().dlShiftTo(this.m.t,r);
|
||||
r.divRemTo(this.m,null,r);
|
||||
if(x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r,r);
|
||||
return r;
|
||||
}
|
||||
|
||||
// x/R mod m
|
||||
function montRevert(x) {
|
||||
var r = nbi();
|
||||
x.copyTo(r);
|
||||
this.reduce(r);
|
||||
return r;
|
||||
}
|
||||
|
||||
// x = x/R mod m (HAC 14.32)
|
||||
function montReduce(x) {
|
||||
while(x.t <= this.mt2) // pad x so am has enough room later
|
||||
x[x.t++] = 0;
|
||||
for(var i = 0; i < this.m.t; ++i) {
|
||||
// faster way of calculating u0 = x[i]*mp mod DV
|
||||
var j = x[i]&0x7fff;
|
||||
var u0 = (j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x.DM;
|
||||
// use am to combine the multiply-shift-add into one call
|
||||
j = i+this.m.t;
|
||||
x[j] += this.m.am(0,u0,x,i,0,this.m.t);
|
||||
// propagate carry
|
||||
while(x[j] >= x.DV) { x[j] -= x.DV; x[++j]++; }
|
||||
}
|
||||
x.clamp();
|
||||
x.drShiftTo(this.m.t,x);
|
||||
if(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
|
||||
}
|
||||
|
||||
// r = "x^2/R mod m"; x != r
|
||||
function montSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
|
||||
|
||||
// r = "xy/R mod m"; x,y != r
|
||||
function montMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
|
||||
|
||||
Montgomery.prototype.convert = montConvert;
|
||||
Montgomery.prototype.revert = montRevert;
|
||||
Montgomery.prototype.reduce = montReduce;
|
||||
Montgomery.prototype.mulTo = montMulTo;
|
||||
Montgomery.prototype.sqrTo = montSqrTo;
|
||||
|
||||
// (protected) true iff this is even
|
||||
function bnpIsEven() { return ((this.t>0)?(this[0]&1):this.s) == 0; }
|
||||
|
||||
// (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79)
|
||||
function bnpExp(e,z) {
|
||||
if(e > 0xffffffff || e < 1) return BigInteger.ONE;
|
||||
var r = nbi(), r2 = nbi(), g = z.convert(this), i = nbits(e)-1;
|
||||
g.copyTo(r);
|
||||
while(--i >= 0) {
|
||||
z.sqrTo(r,r2);
|
||||
if((e&(1<<i)) > 0) z.mulTo(r2,g,r);
|
||||
else { var t = r; r = r2; r2 = t; }
|
||||
}
|
||||
return z.revert(r);
|
||||
}
|
||||
|
||||
// (public) this^e % m, 0 <= e < 2^32
|
||||
function bnModPowInt(e,m) {
|
||||
var z;
|
||||
if(e < 256 || m.isEven()) z = new Classic(m); else z = new Montgomery(m);
|
||||
return this.exp(e,z);
|
||||
}
|
||||
|
||||
// protected
|
||||
BigInteger.prototype.copyTo = bnpCopyTo;
|
||||
BigInteger.prototype.fromInt = bnpFromInt;
|
||||
BigInteger.prototype.fromString = bnpFromString;
|
||||
BigInteger.prototype.clamp = bnpClamp;
|
||||
BigInteger.prototype.dlShiftTo = bnpDLShiftTo;
|
||||
BigInteger.prototype.drShiftTo = bnpDRShiftTo;
|
||||
BigInteger.prototype.lShiftTo = bnpLShiftTo;
|
||||
BigInteger.prototype.rShiftTo = bnpRShiftTo;
|
||||
BigInteger.prototype.subTo = bnpSubTo;
|
||||
BigInteger.prototype.multiplyTo = bnpMultiplyTo;
|
||||
BigInteger.prototype.squareTo = bnpSquareTo;
|
||||
BigInteger.prototype.divRemTo = bnpDivRemTo;
|
||||
BigInteger.prototype.invDigit = bnpInvDigit;
|
||||
BigInteger.prototype.isEven = bnpIsEven;
|
||||
BigInteger.prototype.exp = bnpExp;
|
||||
|
||||
// public
|
||||
BigInteger.prototype.toString = bnToString;
|
||||
BigInteger.prototype.negate = bnNegate;
|
||||
BigInteger.prototype.abs = bnAbs;
|
||||
BigInteger.prototype.compareTo = bnCompareTo;
|
||||
BigInteger.prototype.bitLength = bnBitLength;
|
||||
BigInteger.prototype.mod = bnMod;
|
||||
BigInteger.prototype.modPowInt = bnModPowInt;
|
||||
|
||||
// "constants"
|
||||
BigInteger.ZERO = nbv(0);
|
||||
BigInteger.ONE = nbv(1);
|
||||
653
src/js/lib/jsbn/jsbn2.js
Executable file
653
src/js/lib/jsbn/jsbn2.js
Executable file
|
|
@ -0,0 +1,653 @@
|
|||
// Copyright (c) 2005-2009 Tom Wu
|
||||
// All Rights Reserved.
|
||||
// See "LICENSE" for details.
|
||||
// Extended JavaScript BN functions, required for RSA private ops.
|
||||
// Version 1.1: new BigInteger("0", 10) returns "proper" zero
|
||||
// Version 1.2: square() API, isProbablePrime fix
|
||||
|
||||
// (public)
|
||||
function bnClone() { var r = nbi(); this.copyTo(r); return r; }
|
||||
// (public) return value as integer
|
||||
function bnIntValue() {
|
||||
if(this.s < 0) {
|
||||
if(this.t == 1) return this[0]-this.DV;
|
||||
else if(this.t == 0) return -1;
|
||||
}
|
||||
else if(this.t == 1) return this[0];
|
||||
else if(this.t == 0) return 0;
|
||||
// assumes 16 < DB < 32
|
||||
return ((this[1]&((1<<(32-this.DB))-1))<<this.DB)|this[0];
|
||||
}
|
||||
|
||||
// (public) return value as byte
|
||||
function bnByteValue() { return (this.t==0)?this.s:(this[0]<<24)>>24; }
|
||||
|
||||
// (public) return value as short (assumes DB>=16)
|
||||
function bnShortValue() { return (this.t==0)?this.s:(this[0]<<16)>>16; }
|
||||
|
||||
// (protected) return x s.t. r^x < DV
|
||||
function bnpChunkSize(r) { return Math.floor(Math.LN2*this.DB/Math.log(r)); }
|
||||
|
||||
// (public) 0 if this == 0, 1 if this > 0
|
||||
function bnSigNum() {
|
||||
if(this.s < 0) return -1;
|
||||
else if(this.t <= 0 || (this.t == 1 && this[0] <= 0)) return 0;
|
||||
else return 1;
|
||||
}
|
||||
|
||||
// (protected) convert to radix string
|
||||
function bnpToRadix(b) {
|
||||
if(b == null) b = 10;
|
||||
if(this.signum() == 0 || b < 2 || b > 36) return "0";
|
||||
var cs = this.chunkSize(b);
|
||||
var a = Math.pow(b,cs);
|
||||
var d = nbv(a), y = nbi(), z = nbi(), r = "";
|
||||
this.divRemTo(d,y,z);
|
||||
while(y.signum() > 0) {
|
||||
r = (a+z.intValue()).toString(b).substr(1) + r;
|
||||
y.divRemTo(d,y,z);
|
||||
}
|
||||
return z.intValue().toString(b) + r;
|
||||
}
|
||||
|
||||
// (protected) convert from radix string
|
||||
function bnpFromRadix(s,b) {
|
||||
this.fromInt(0);
|
||||
if(b == null) b = 10;
|
||||
var cs = this.chunkSize(b);
|
||||
var d = Math.pow(b,cs), mi = false, j = 0, w = 0;
|
||||
for(var i = 0; i < s.length; ++i) {
|
||||
var x = intAt(s,i);
|
||||
if(x < 0) {
|
||||
if(s.charAt(i) == "-" && this.signum() == 0) mi = true;
|
||||
continue;
|
||||
}
|
||||
w = b*w+x;
|
||||
if(++j >= cs) {
|
||||
this.dMultiply(d);
|
||||
this.dAddOffset(w,0);
|
||||
j = 0;
|
||||
w = 0;
|
||||
}
|
||||
}
|
||||
if(j > 0) {
|
||||
this.dMultiply(Math.pow(b,j));
|
||||
this.dAddOffset(w,0);
|
||||
}
|
||||
if(mi) BigInteger.ZERO.subTo(this,this);
|
||||
}
|
||||
|
||||
// (protected) alternate constructor
|
||||
function bnpFromNumber(a,b,c) {
|
||||
if("number" == typeof b) {
|
||||
// new BigInteger(int,int,RNG)
|
||||
if(a < 2) this.fromInt(1);
|
||||
else {
|
||||
this.fromNumber(a,c);
|
||||
if(!this.testBit(a-1)) // force MSB set
|
||||
this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this);
|
||||
if(this.isEven()) this.dAddOffset(1,0); // force odd
|
||||
while(!this.isProbablePrime(b)) {
|
||||
this.dAddOffset(2,0);
|
||||
if(this.bitLength() > a) this.subTo(BigInteger.ONE.shiftLeft(a-1),this);
|
||||
}
|
||||
}
|
||||
}
|
||||
else {
|
||||
// new BigInteger(int,RNG)
|
||||
var x = new Array(), t = a&7;
|
||||
x.length = (a>>3)+1;
|
||||
b.nextBytes(x);
|
||||
if(t > 0) x[0] &= ((1<<t)-1); else x[0] = 0;
|
||||
this.fromString(x,256);
|
||||
}
|
||||
}
|
||||
|
||||
// (public) convert to bigendian byte array
|
||||
function bnToByteArray() {
|
||||
var i = this.t, r = new Array();
|
||||
r[0] = this.s;
|
||||
var p = this.DB-(i*this.DB)%8, d, k = 0;
|
||||
if(i-- > 0) {
|
||||
if(p < this.DB && (d = this[i]>>p) != (this.s&this.DM)>>p)
|
||||
r[k++] = d|(this.s<<(this.DB-p));
|
||||
while(i >= 0) {
|
||||
if(p < 8) {
|
||||
d = (this[i]&((1<<p)-1))<<(8-p);
|
||||
d |= this[--i]>>(p+=this.DB-8);
|
||||
}
|
||||
else {
|
||||
d = (this[i]>>(p-=8))&0xff;
|
||||
if(p <= 0) { p += this.DB; --i; }
|
||||
}
|
||||
if((d&0x80) != 0) d |= -256;
|
||||
if(k == 0 && (this.s&0x80) != (d&0x80)) ++k;
|
||||
if(k > 0 || d != this.s) r[k++] = d;
|
||||
}
|
||||
}
|
||||
return r;
|
||||
}
|
||||
|
||||
function bnEquals(a) { return(this.compareTo(a)==0); }
|
||||
function bnMin(a) { return(this.compareTo(a)<0)?this:a; }
|
||||
function bnMax(a) { return(this.compareTo(a)>0)?this:a; }
|
||||
|
||||
// (protected) r = this op a (bitwise)
|
||||
function bnpBitwiseTo(a,op,r) {
|
||||
var i, f, m = Math.min(a.t,this.t);
|
||||
for(i = 0; i < m; ++i) r[i] = op(this[i],a[i]);
|
||||
if(a.t < this.t) {
|
||||
f = a.s&this.DM;
|
||||
for(i = m; i < this.t; ++i) r[i] = op(this[i],f);
|
||||
r.t = this.t;
|
||||
}
|
||||
else {
|
||||
f = this.s&this.DM;
|
||||
for(i = m; i < a.t; ++i) r[i] = op(f,a[i]);
|
||||
r.t = a.t;
|
||||
}
|
||||
r.s = op(this.s,a.s);
|
||||
r.clamp();
|
||||
}
|
||||
|
||||
// (public) this & a
|
||||
function op_and(x,y) { return x&y; }
|
||||
function bnAnd(a) { var r = nbi(); this.bitwiseTo(a,op_and,r); return r; }
|
||||
|
||||
// (public) this | a
|
||||
function op_or(x,y) { return x|y; }
|
||||
function bnOr(a) { var r = nbi(); this.bitwiseTo(a,op_or,r); return r; }
|
||||
|
||||
// (public) this ^ a
|
||||
function op_xor(x,y) { return x^y; }
|
||||
function bnXor(a) { var r = nbi(); this.bitwiseTo(a,op_xor,r); return r; }
|
||||
|
||||
// (public) this & ~a
|
||||
function op_andnot(x,y) { return x&~y; }
|
||||
function bnAndNot(a) { var r = nbi(); this.bitwiseTo(a,op_andnot,r); return r; }
|
||||
|
||||
// (public) ~this
|
||||
function bnNot() {
|
||||
var r = nbi();
|
||||
for(var i = 0; i < this.t; ++i) r[i] = this.DM&~this[i];
|
||||
r.t = this.t;
|
||||
r.s = ~this.s;
|
||||
return r;
|
||||
}
|
||||
|
||||
// (public) this << n
|
||||
function bnShiftLeft(n) {
|
||||
var r = nbi();
|
||||
if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r);
|
||||
return r;
|
||||
}
|
||||
|
||||
// (public) this >> n
|
||||
function bnShiftRight(n) {
|
||||
var r = nbi();
|
||||
if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r);
|
||||
return r;
|
||||
}
|
||||
|
||||
// return index of lowest 1-bit in x, x < 2^31
|
||||
function lbit(x) {
|
||||
if(x == 0) return -1;
|
||||
var r = 0;
|
||||
if((x&0xffff) == 0) { x >>= 16; r += 16; }
|
||||
if((x&0xff) == 0) { x >>= 8; r += 8; }
|
||||
if((x&0xf) == 0) { x >>= 4; r += 4; }
|
||||
if((x&3) == 0) { x >>= 2; r += 2; }
|
||||
if((x&1) == 0) ++r;
|
||||
return r;
|
||||
}
|
||||
|
||||
// (public) returns index of lowest 1-bit (or -1 if none)
|
||||
function bnGetLowestSetBit() {
|
||||
for(var i = 0; i < this.t; ++i)
|
||||
if(this[i] != 0) return i*this.DB+lbit(this[i]);
|
||||
if(this.s < 0) return this.t*this.DB;
|
||||
return -1;
|
||||
}
|
||||
|
||||
// return number of 1 bits in x
|
||||
function cbit(x) {
|
||||
var r = 0;
|
||||
while(x != 0) { x &= x-1; ++r; }
|
||||
return r;
|
||||
}
|
||||
|
||||
// (public) return number of set bits
|
||||
function bnBitCount() {
|
||||
var r = 0, x = this.s&this.DM;
|
||||
for(var i = 0; i < this.t; ++i) r += cbit(this[i]^x);
|
||||
return r;
|
||||
}
|
||||
|
||||
// (public) true iff nth bit is set
|
||||
function bnTestBit(n) {
|
||||
var j = Math.floor(n/this.DB);
|
||||
if(j >= this.t) return(this.s!=0);
|
||||
return((this[j]&(1<<(n%this.DB)))!=0);
|
||||
}
|
||||
|
||||
// (protected) this op (1<<n)
|
||||
function bnpChangeBit(n,op) {
|
||||
var r = BigInteger.ONE.shiftLeft(n);
|
||||
this.bitwiseTo(r,op,r);
|
||||
return r;
|
||||
}
|
||||
|
||||
// (public) this | (1<<n)
|
||||
function bnSetBit(n) { return this.changeBit(n,op_or); }
|
||||
|
||||
// (public) this & ~(1<<n)
|
||||
function bnClearBit(n) { return this.changeBit(n,op_andnot); }
|
||||
|
||||
// (public) this ^ (1<<n)
|
||||
function bnFlipBit(n) { return this.changeBit(n,op_xor); }
|
||||
|
||||
// (protected) r = this + a
|
||||
function bnpAddTo(a,r) {
|
||||
var i = 0, c = 0, m = Math.min(a.t,this.t);
|
||||
while(i < m) {
|
||||
c += this[i]+a[i];
|
||||
r[i++] = c&this.DM;
|
||||
c >>= this.DB;
|
||||
}
|
||||
if(a.t < this.t) {
|
||||
c += a.s;
|
||||
while(i < this.t) {
|
||||
c += this[i];
|
||||
r[i++] = c&this.DM;
|
||||
c >>= this.DB;
|
||||
}
|
||||
c += this.s;
|
||||
}
|
||||
else {
|
||||
c += this.s;
|
||||
while(i < a.t) {
|
||||
c += a[i];
|
||||
r[i++] = c&this.DM;
|
||||
c >>= this.DB;
|
||||
}
|
||||
c += a.s;
|
||||
}
|
||||
r.s = (c<0)?-1:0;
|
||||
if(c > 0) r[i++] = c;
|
||||
else if(c < -1) r[i++] = this.DV+c;
|
||||
r.t = i;
|
||||
r.clamp();
|
||||
}
|
||||
|
||||
// (public) this + a
|
||||
function bnAdd(a) { var r = nbi(); this.addTo(a,r); return r; }
|
||||
|
||||
// (public) this - a
|
||||
function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; }
|
||||
|
||||
// (public) this * a
|
||||
function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; }
|
||||
|
||||
// (public) this^2
|
||||
function bnSquare() { var r = nbi(); this.squareTo(r); return r; }
|
||||
|
||||
// (public) this / a
|
||||
function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; }
|
||||
|
||||
// (public) this % a
|
||||
function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; }
|
||||
|
||||
// (public) [this/a,this%a]
|
||||
function bnDivideAndRemainder(a) {
|
||||
var q = nbi(), r = nbi();
|
||||
this.divRemTo(a,q,r);
|
||||
return new Array(q,r);
|
||||
}
|
||||
|
||||
// (protected) this *= n, this >= 0, 1 < n < DV
|
||||
function bnpDMultiply(n) {
|
||||
this[this.t] = this.am(0,n-1,this,0,0,this.t);
|
||||
++this.t;
|
||||
this.clamp();
|
||||
}
|
||||
|
||||
// (protected) this += n << w words, this >= 0
|
||||
function bnpDAddOffset(n,w) {
|
||||
if(n == 0) return;
|
||||
while(this.t <= w) this[this.t++] = 0;
|
||||
this[w] += n;
|
||||
while(this[w] >= this.DV) {
|
||||
this[w] -= this.DV;
|
||||
if(++w >= this.t) this[this.t++] = 0;
|
||||
++this[w];
|
||||
}
|
||||
}
|
||||
|
||||
// A "null" reducer
|
||||
function NullExp() {}
|
||||
function nNop(x) { return x; }
|
||||
function nMulTo(x,y,r) { x.multiplyTo(y,r); }
|
||||
function nSqrTo(x,r) { x.squareTo(r); }
|
||||
|
||||
NullExp.prototype.convert = nNop;
|
||||
NullExp.prototype.revert = nNop;
|
||||
NullExp.prototype.mulTo = nMulTo;
|
||||
NullExp.prototype.sqrTo = nSqrTo;
|
||||
|
||||
// (public) this^e
|
||||
function bnPow(e) { return this.exp(e,new NullExp()); }
|
||||
|
||||
// (protected) r = lower n words of "this * a", a.t <= n
|
||||
// "this" should be the larger one if appropriate.
|
||||
function bnpMultiplyLowerTo(a,n,r) {
|
||||
var i = Math.min(this.t+a.t,n);
|
||||
r.s = 0; // assumes a,this >= 0
|
||||
r.t = i;
|
||||
while(i > 0) r[--i] = 0;
|
||||
var j;
|
||||
for(j = r.t-this.t; i < j; ++i) r[i+this.t] = this.am(0,a[i],r,i,0,this.t);
|
||||
for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a[i],r,i,0,n-i);
|
||||
r.clamp();
|
||||
}
|
||||
|
||||
// (protected) r = "this * a" without lower n words, n > 0
|
||||
// "this" should be the larger one if appropriate.
|
||||
function bnpMultiplyUpperTo(a,n,r) {
|
||||
--n;
|
||||
var i = r.t = this.t+a.t-n;
|
||||
r.s = 0; // assumes a,this >= 0
|
||||
while(--i >= 0) r[i] = 0;
|
||||
for(i = Math.max(n-this.t,0); i < a.t; ++i)
|
||||
r[this.t+i-n] = this.am(n-i,a[i],r,0,0,this.t+i-n);
|
||||
r.clamp();
|
||||
r.drShiftTo(1,r);
|
||||
}
|
||||
|
||||
// Barrett modular reduction
|
||||
function Barrett(m) {
|
||||
// setup Barrett
|
||||
this.r2 = nbi();
|
||||
this.q3 = nbi();
|
||||
BigInteger.ONE.dlShiftTo(2*m.t,this.r2);
|
||||
this.mu = this.r2.divide(m);
|
||||
this.m = m;
|
||||
}
|
||||
|
||||
function barrettConvert(x) {
|
||||
if(x.s < 0 || x.t > 2*this.m.t) return x.mod(this.m);
|
||||
else if(x.compareTo(this.m) < 0) return x;
|
||||
else { var r = nbi(); x.copyTo(r); this.reduce(r); return r; }
|
||||
}
|
||||
|
||||
function barrettRevert(x) { return x; }
|
||||
|
||||
// x = x mod m (HAC 14.42)
|
||||
function barrettReduce(x) {
|
||||
x.drShiftTo(this.m.t-1,this.r2);
|
||||
if(x.t > this.m.t+1) { x.t = this.m.t+1; x.clamp(); }
|
||||
this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3);
|
||||
this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);
|
||||
while(x.compareTo(this.r2) < 0) x.dAddOffset(1,this.m.t+1);
|
||||
x.subTo(this.r2,x);
|
||||
while(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
|
||||
}
|
||||
|
||||
// r = x^2 mod m; x != r
|
||||
function barrettSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
|
||||
|
||||
// r = x*y mod m; x,y != r
|
||||
function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
|
||||
|
||||
Barrett.prototype.convert = barrettConvert;
|
||||
Barrett.prototype.revert = barrettRevert;
|
||||
Barrett.prototype.reduce = barrettReduce;
|
||||
Barrett.prototype.mulTo = barrettMulTo;
|
||||
Barrett.prototype.sqrTo = barrettSqrTo;
|
||||
|
||||
// (public) this^e % m (HAC 14.85)
|
||||
function bnModPow(e,m) {
|
||||
var i = e.bitLength(), k, r = nbv(1), z;
|
||||
if(i <= 0) return r;
|
||||
else if(i < 18) k = 1;
|
||||
else if(i < 48) k = 3;
|
||||
else if(i < 144) k = 4;
|
||||
else if(i < 768) k = 5;
|
||||
else k = 6;
|
||||
if(i < 8)
|
||||
z = new Classic(m);
|
||||
else if(m.isEven())
|
||||
z = new Barrett(m);
|
||||
else
|
||||
z = new Montgomery(m);
|
||||
|
||||
// precomputation
|
||||
var g = new Array(), n = 3, k1 = k-1, km = (1<<k)-1;
|
||||
g[1] = z.convert(this);
|
||||
if(k > 1) {
|
||||
var g2 = nbi();
|
||||
z.sqrTo(g[1],g2);
|
||||
while(n <= km) {
|
||||
g[n] = nbi();
|
||||
z.mulTo(g2,g[n-2],g[n]);
|
||||
n += 2;
|
||||
}
|
||||
}
|
||||
|
||||
var j = e.t-1, w, is1 = true, r2 = nbi(), t;
|
||||
i = nbits(e[j])-1;
|
||||
while(j >= 0) {
|
||||
if(i >= k1) w = (e[j]>>(i-k1))&km;
|
||||
else {
|
||||
w = (e[j]&((1<<(i+1))-1))<<(k1-i);
|
||||
if(j > 0) w |= e[j-1]>>(this.DB+i-k1);
|
||||
}
|
||||
|
||||
n = k;
|
||||
while((w&1) == 0) { w >>= 1; --n; }
|
||||
if((i -= n) < 0) { i += this.DB; --j; }
|
||||
if(is1) { // ret == 1, don't bother squaring or multiplying it
|
||||
g[w].copyTo(r);
|
||||
is1 = false;
|
||||
}
|
||||
else {
|
||||
while(n > 1) { z.sqrTo(r,r2); z.sqrTo(r2,r); n -= 2; }
|
||||
if(n > 0) z.sqrTo(r,r2); else { t = r; r = r2; r2 = t; }
|
||||
z.mulTo(r2,g[w],r);
|
||||
}
|
||||
|
||||
while(j >= 0 && (e[j]&(1<<i)) == 0) {
|
||||
z.sqrTo(r,r2); t = r; r = r2; r2 = t;
|
||||
if(--i < 0) { i = this.DB-1; --j; }
|
||||
}
|
||||
}
|
||||
return z.revert(r);
|
||||
}
|
||||
|
||||
// (public) gcd(this,a) (HAC 14.54)
|
||||
function bnGCD(a) {
|
||||
var x = (this.s<0)?this.negate():this.clone();
|
||||
var y = (a.s<0)?a.negate():a.clone();
|
||||
if(x.compareTo(y) < 0) { var t = x; x = y; y = t; }
|
||||
var i = x.getLowestSetBit(), g = y.getLowestSetBit();
|
||||
if(g < 0) return x;
|
||||
if(i < g) g = i;
|
||||
if(g > 0) {
|
||||
x.rShiftTo(g,x);
|
||||
y.rShiftTo(g,y);
|
||||
}
|
||||
while(x.signum() > 0) {
|
||||
if((i = x.getLowestSetBit()) > 0) x.rShiftTo(i,x);
|
||||
if((i = y.getLowestSetBit()) > 0) y.rShiftTo(i,y);
|
||||
if(x.compareTo(y) >= 0) {
|
||||
x.subTo(y,x);
|
||||
x.rShiftTo(1,x);
|
||||
}
|
||||
else {
|
||||
y.subTo(x,y);
|
||||
y.rShiftTo(1,y);
|
||||
}
|
||||
}
|
||||
if(g > 0) y.lShiftTo(g,y);
|
||||
return y;
|
||||
}
|
||||
|
||||
// (protected) this % n, n < 2^26
|
||||
function bnpModInt(n) {
|
||||
if(n <= 0) return 0;
|
||||
var d = this.DV%n, r = (this.s<0)?n-1:0;
|
||||
if(this.t > 0)
|
||||
if(d == 0) r = this[0]%n;
|
||||
else for(var i = this.t-1; i >= 0; --i) r = (d*r+this[i])%n;
|
||||
return r;
|
||||
}
|
||||
|
||||
// (public) 1/this % m (HAC 14.61)
|
||||
function bnModInverse(m) {
|
||||
var ac = m.isEven();
|
||||
if((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO;
|
||||
var u = m.clone(), v = this.clone();
|
||||
var a = nbv(1), b = nbv(0), c = nbv(0), d = nbv(1);
|
||||
while(u.signum() != 0) {
|
||||
while(u.isEven()) {
|
||||
u.rShiftTo(1,u);
|
||||
if(ac) {
|
||||
if(!a.isEven() || !b.isEven()) { a.addTo(this,a); b.subTo(m,b); }
|
||||
a.rShiftTo(1,a);
|
||||
}
|
||||
else if(!b.isEven()) b.subTo(m,b);
|
||||
b.rShiftTo(1,b);
|
||||
}
|
||||
while(v.isEven()) {
|
||||
v.rShiftTo(1,v);
|
||||
if(ac) {
|
||||
if(!c.isEven() || !d.isEven()) { c.addTo(this,c); d.subTo(m,d); }
|
||||
c.rShiftTo(1,c);
|
||||
}
|
||||
else if(!d.isEven()) d.subTo(m,d);
|
||||
d.rShiftTo(1,d);
|
||||
}
|
||||
if(u.compareTo(v) >= 0) {
|
||||
u.subTo(v,u);
|
||||
if(ac) a.subTo(c,a);
|
||||
b.subTo(d,b);
|
||||
}
|
||||
else {
|
||||
v.subTo(u,v);
|
||||
if(ac) c.subTo(a,c);
|
||||
d.subTo(b,d);
|
||||
}
|
||||
}
|
||||
if(v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO;
|
||||
if(d.compareTo(m) >= 0) return d.subtract(m);
|
||||
if(d.signum() < 0) d.addTo(m,d); else return d;
|
||||
if(d.signum() < 0) return d.add(m); else return d;
|
||||
}
|
||||
|
||||
var lowprimes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997];
|
||||
var lplim = (1<<26)/lowprimes[lowprimes.length-1];
|
||||
|
||||
// (public) test primality with certainty >= 1-.5^t
|
||||
function bnIsProbablePrime(t) {
|
||||
var i, x = this.abs();
|
||||
if(x.t == 1 && x[0] <= lowprimes[lowprimes.length-1]) {
|
||||
for(i = 0; i < lowprimes.length; ++i)
|
||||
if(x[0] == lowprimes[i]) return true;
|
||||
return false;
|
||||
}
|
||||
if(x.isEven()) return false;
|
||||
i = 1;
|
||||
while(i < lowprimes.length) {
|
||||
var m = lowprimes[i], j = i+1;
|
||||
while(j < lowprimes.length && m < lplim) m *= lowprimes[j++];
|
||||
m = x.modInt(m);
|
||||
while(i < j) if(m%lowprimes[i++] == 0) return false;
|
||||
}
|
||||
return x.millerRabin(t);
|
||||
}
|
||||
|
||||
// (protected) true if probably prime (HAC 4.24, Miller-Rabin)
|
||||
function bnpMillerRabin(t) {
|
||||
var n1 = this.subtract(BigInteger.ONE);
|
||||
var k = n1.getLowestSetBit();
|
||||
if(k <= 0) return false;
|
||||
var r = n1.shiftRight(k);
|
||||
t = (t+1)>>1;
|
||||
if(t > lowprimes.length) t = lowprimes.length;
|
||||
var a = nbi();
|
||||
for(var i = 0; i < t; ++i) {
|
||||
//Pick bases at random, instead of starting at 2
|
||||
a.fromInt(lowprimes[Math.floor(Math.random()*lowprimes.length)]);
|
||||
var y = a.modPow(r,this);
|
||||
if(y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) {
|
||||
var j = 1;
|
||||
while(j++ < k && y.compareTo(n1) != 0) {
|
||||
y = y.modPowInt(2,this);
|
||||
if(y.compareTo(BigInteger.ONE) == 0) return false;
|
||||
}
|
||||
if(y.compareTo(n1) != 0) return false;
|
||||
}
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
// protected
|
||||
BigInteger.prototype.chunkSize = bnpChunkSize;
|
||||
BigInteger.prototype.toRadix = bnpToRadix;
|
||||
BigInteger.prototype.fromRadix = bnpFromRadix;
|
||||
BigInteger.prototype.fromNumber = bnpFromNumber;
|
||||
BigInteger.prototype.bitwiseTo = bnpBitwiseTo;
|
||||
BigInteger.prototype.changeBit = bnpChangeBit;
|
||||
BigInteger.prototype.addTo = bnpAddTo;
|
||||
BigInteger.prototype.dMultiply = bnpDMultiply;
|
||||
BigInteger.prototype.dAddOffset = bnpDAddOffset;
|
||||
BigInteger.prototype.multiplyLowerTo = bnpMultiplyLowerTo;
|
||||
BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo;
|
||||
BigInteger.prototype.modInt = bnpModInt;
|
||||
BigInteger.prototype.millerRabin = bnpMillerRabin;
|
||||
|
||||
// public
|
||||
BigInteger.prototype.clone = bnClone;
|
||||
BigInteger.prototype.intValue = bnIntValue;
|
||||
BigInteger.prototype.byteValue = bnByteValue;
|
||||
BigInteger.prototype.shortValue = bnShortValue;
|
||||
BigInteger.prototype.signum = bnSigNum;
|
||||
BigInteger.prototype.toByteArray = bnToByteArray;
|
||||
BigInteger.prototype.equals = bnEquals;
|
||||
BigInteger.prototype.min = bnMin;
|
||||
BigInteger.prototype.max = bnMax;
|
||||
BigInteger.prototype.and = bnAnd;
|
||||
BigInteger.prototype.or = bnOr;
|
||||
BigInteger.prototype.xor = bnXor;
|
||||
BigInteger.prototype.andNot = bnAndNot;
|
||||
BigInteger.prototype.not = bnNot;
|
||||
BigInteger.prototype.shiftLeft = bnShiftLeft;
|
||||
BigInteger.prototype.shiftRight = bnShiftRight;
|
||||
BigInteger.prototype.getLowestSetBit = bnGetLowestSetBit;
|
||||
BigInteger.prototype.bitCount = bnBitCount;
|
||||
BigInteger.prototype.testBit = bnTestBit;
|
||||
BigInteger.prototype.setBit = bnSetBit;
|
||||
BigInteger.prototype.clearBit = bnClearBit;
|
||||
BigInteger.prototype.flipBit = bnFlipBit;
|
||||
BigInteger.prototype.add = bnAdd;
|
||||
BigInteger.prototype.subtract = bnSubtract;
|
||||
BigInteger.prototype.multiply = bnMultiply;
|
||||
BigInteger.prototype.divide = bnDivide;
|
||||
BigInteger.prototype.remainder = bnRemainder;
|
||||
BigInteger.prototype.divideAndRemainder = bnDivideAndRemainder;
|
||||
BigInteger.prototype.modPow = bnModPow;
|
||||
BigInteger.prototype.modInverse = bnModInverse;
|
||||
BigInteger.prototype.pow = bnPow;
|
||||
BigInteger.prototype.gcd = bnGCD;
|
||||
BigInteger.prototype.isProbablePrime = bnIsProbablePrime;
|
||||
|
||||
// JSBN-specific extension
|
||||
BigInteger.prototype.square = bnSquare;
|
||||
|
||||
// BigInteger interfaces not implemented in jsbn:
|
||||
|
||||
// BigInteger(int signum, byte[] magnitude)
|
||||
// double doubleValue()
|
||||
// float floatValue()
|
||||
// int hashCode()
|
||||
// long longValue()
|
||||
// static BigInteger valueOf(long val)
|
||||
43
src/js/lib/jsbn/prng4.js
Executable file
43
src/js/lib/jsbn/prng4.js
Executable file
|
|
@ -0,0 +1,43 @@
|
|||
// prng4.js - uses Arcfour as a PRNG
|
||||
function Arcfour() {
|
||||
this.i = 0;
|
||||
this.j = 0;
|
||||
this.S = new Array();
|
||||
}
|
||||
// Initialize arcfour context from key, an array of ints, each from [0..255]
|
||||
function ARC4init(key) {
|
||||
var i, j, t;
|
||||
for(i = 0; i < 256; ++i)
|
||||
this.S[i] = i;
|
||||
j = 0;
|
||||
for(i = 0; i < 256; ++i) {
|
||||
j = (j + this.S[i] + key[i % key.length]) & 255;
|
||||
t = this.S[i];
|
||||
this.S[i] = this.S[j];
|
||||
this.S[j] = t;
|
||||
}
|
||||
this.i = 0;
|
||||
this.j = 0;
|
||||
}
|
||||
|
||||
function ARC4next() {
|
||||
var t;
|
||||
this.i = (this.i + 1) & 255;
|
||||
this.j = (this.j + this.S[this.i]) & 255;
|
||||
t = this.S[this.i];
|
||||
this.S[this.i] = this.S[this.j];
|
||||
this.S[this.j] = t;
|
||||
return this.S[(t + this.S[this.i]) & 255];
|
||||
}
|
||||
|
||||
Arcfour.prototype.init = ARC4init;
|
||||
Arcfour.prototype.next = ARC4next;
|
||||
|
||||
// Plug in your RNG constructor here
|
||||
function prng_newstate() {
|
||||
return new Arcfour();
|
||||
}
|
||||
|
||||
// Pool size must be a multiple of 4 and greater than 32.
|
||||
// An array of bytes the size of the pool will be passed to init()
|
||||
var rng_psize = 256;
|
||||
76
src/js/lib/jsbn/rng.js
Executable file
76
src/js/lib/jsbn/rng.js
Executable file
|
|
@ -0,0 +1,76 @@
|
|||
// Random number generator - requires a PRNG backend, e.g. prng4.js
|
||||
// For best results, put code like
|
||||
// <body onClick='rng_seed_time();' onKeyPress='rng_seed_time();'>
|
||||
// in your main HTML document.
|
||||
|
||||
var rng_state;
|
||||
var rng_pool;
|
||||
var rng_pptr;
|
||||
|
||||
// Mix in a 32-bit integer into the pool
|
||||
function rng_seed_int(x) {
|
||||
rng_pool[rng_pptr++] ^= x & 255;
|
||||
rng_pool[rng_pptr++] ^= x >> 8 & 255;
|
||||
// rng_pool[rng_pptr++] ^= x >> 16 & 255;
|
||||
// rng_pool[rng_pptr++] ^= x >> 24 & 255;
|
||||
if (rng_pptr >= rng_psize)
|
||||
rng_pptr -= rng_psize;
|
||||
}
|
||||
|
||||
// Mix in the current time (w/milliseconds) into the pool
|
||||
function rng_seed_time() {
|
||||
rng_seed_int(new Date().getTime());
|
||||
}
|
||||
|
||||
// Initialize the pool with junk if needed.
|
||||
if (rng_pool == null) {
|
||||
rng_pool = new Array();
|
||||
rng_pptr = 0;
|
||||
var t;
|
||||
if (window.crypto && window.crypto.getRandomValues) {
|
||||
// Use webcrypto if available
|
||||
var ua = new Uint8Array(32);
|
||||
window.crypto.getRandomValues(ua);
|
||||
for (t = 0; t < 32; ++t)
|
||||
rng_pool[rng_pptr++] = ua[t];
|
||||
}
|
||||
if (navigator.appName == 'Netscape' && navigator.appVersion < '5' && window.crypto) {
|
||||
// Extract entropy (256 bits) from NS4 RNG if available
|
||||
var z = window.crypto.random(32);
|
||||
for (t = 0; t < z.length; ++t)
|
||||
rng_pool[rng_pptr++] = z.charCodeAt(t) & 255;
|
||||
}
|
||||
while (rng_pptr < rng_psize) {
|
||||
// extract some randomness from Math.random()
|
||||
t = Math.floor(65536 * Math.random());
|
||||
rng_pool[rng_pptr++] = t >>> 8;
|
||||
rng_pool[rng_pptr++] = t & 255;
|
||||
}
|
||||
rng_pptr = 0;
|
||||
rng_seed_time();
|
||||
//rng_seed_int(window.screenX);
|
||||
//rng_seed_int(window.screenY);
|
||||
}
|
||||
|
||||
function rng_get_byte() {
|
||||
if (rng_state == null) {
|
||||
rng_seed_time();
|
||||
rng_state = prng_newstate();
|
||||
rng_state.init(rng_pool);
|
||||
for (rng_pptr = 0; rng_pptr < rng_pool.length; ++rng_pptr)
|
||||
rng_pool[rng_pptr] = 0;
|
||||
rng_pptr = 0;
|
||||
//rng_pool = null;
|
||||
}
|
||||
// TODO: allow reseeding after first request
|
||||
return rng_state.next();
|
||||
}
|
||||
|
||||
function rng_get_bytes(ba) {
|
||||
var i;
|
||||
for (i = 0; i < ba.length; ++i)
|
||||
ba[i] = rng_get_byte();
|
||||
}
|
||||
|
||||
function SecureRandom() {}
|
||||
SecureRandom.prototype.nextBytes = rng_get_bytes;
|
||||
109
src/js/lib/jsbn/rsa.js
Executable file
109
src/js/lib/jsbn/rsa.js
Executable file
|
|
@ -0,0 +1,109 @@
|
|||
// Depends on jsbn.js and rng.js
|
||||
// Version 1.1: support utf-8 encoding in pkcs1pad2
|
||||
// convert a (hex) string to a bignum object
|
||||
function parseBigInt(str,r) {
|
||||
return new BigInteger(str,r);
|
||||
}
|
||||
function linebrk(s,n) {
|
||||
var ret = "";
|
||||
var i = 0;
|
||||
while(i + n < s.length) {
|
||||
ret += s.substring(i,i+n) + "\n";
|
||||
i += n;
|
||||
}
|
||||
return ret + s.substring(i,s.length);
|
||||
}
|
||||
|
||||
function byte2Hex(b) {
|
||||
if(b < 0x10)
|
||||
return "0" + b.toString(16);
|
||||
else
|
||||
return b.toString(16);
|
||||
}
|
||||
|
||||
// PKCS#1 (type 2, random) pad input string s to n bytes, and return a bigint
|
||||
function pkcs1pad2(s,n) {
|
||||
if(n < s.length + 11) { // TODO: fix for utf-8
|
||||
alert("Message too long for RSA");
|
||||
return null;
|
||||
}
|
||||
var ba = new Array();
|
||||
var i = s.length - 1;
|
||||
while(i >= 0 && n > 0) {
|
||||
var c = s.charCodeAt(i--);
|
||||
if(c < 128) { // encode using utf-8
|
||||
ba[--n] = c;
|
||||
}
|
||||
else if((c > 127) && (c < 2048)) {
|
||||
ba[--n] = (c & 63) | 128;
|
||||
ba[--n] = (c >> 6) | 192;
|
||||
}
|
||||
else {
|
||||
ba[--n] = (c & 63) | 128;
|
||||
ba[--n] = ((c >> 6) & 63) | 128;
|
||||
ba[--n] = (c >> 12) | 224;
|
||||
}
|
||||
}
|
||||
ba[--n] = 0;
|
||||
var rng = new SecureRandom();
|
||||
var x = new Array();
|
||||
while(n > 2) { // random non-zero pad
|
||||
x[0] = 0;
|
||||
while(x[0] == 0) rng.nextBytes(x);
|
||||
ba[--n] = x[0];
|
||||
}
|
||||
ba[--n] = 2;
|
||||
ba[--n] = 0;
|
||||
return new BigInteger(ba);
|
||||
}
|
||||
|
||||
// "empty" RSA key constructor
|
||||
function RSAKey() {
|
||||
this.n = null;
|
||||
this.e = 0;
|
||||
this.d = null;
|
||||
this.p = null;
|
||||
this.q = null;
|
||||
this.dmp1 = null;
|
||||
this.dmq1 = null;
|
||||
this.coeff = null;
|
||||
}
|
||||
|
||||
// Set the public key fields N and e from hex strings
|
||||
function RSASetPublic(N,E) {
|
||||
if(N != null && E != null && N.length > 0 && E.length > 0) {
|
||||
this.n = parseBigInt(N,16);
|
||||
this.e = parseInt(E,16);
|
||||
}
|
||||
// else
|
||||
// alert("Invalid RSA public key");
|
||||
}
|
||||
|
||||
// Perform raw public operation on "x": return x^e (mod n)
|
||||
function RSADoPublic(x) {
|
||||
return x.modPowInt(this.e, this.n);
|
||||
}
|
||||
|
||||
// Return the PKCS#1 RSA encryption of "text" as an even-length hex string
|
||||
function RSAEncrypt(text) {
|
||||
var m = pkcs1pad2(text,(this.n.bitLength()+7)>>3);
|
||||
if(m == null) return null;
|
||||
var c = this.doPublic(m);
|
||||
if(c == null) return null;
|
||||
var h = c.toString(16);
|
||||
if((h.length & 1) == 0) return h; else return "0" + h;
|
||||
}
|
||||
|
||||
// Return the PKCS#1 RSA encryption of "text" as a Base64-encoded string
|
||||
//function RSAEncryptB64(text) {
|
||||
// var h = this.encrypt(text);
|
||||
// if(h) return hex2b64(h); else return null;
|
||||
//}
|
||||
|
||||
// protected
|
||||
RSAKey.prototype.doPublic = RSADoPublic;
|
||||
|
||||
// public
|
||||
RSAKey.prototype.setPublic = RSASetPublic;
|
||||
RSAKey.prototype.encrypt = RSAEncrypt;
|
||||
//RSAKey.prototype.encrypt_b64 = RSAEncryptB64;
|
||||
139
src/js/lib/jsbn/sec.js
Executable file
139
src/js/lib/jsbn/sec.js
Executable file
|
|
@ -0,0 +1,139 @@
|
|||
// Named EC curves
|
||||
// Requires ec.js, jsbn.js, and jsbn2.js
|
||||
// ----------------
|
||||
// X9ECParameters
|
||||
// constructor
|
||||
function X9ECParameters(curve,g,n,h) {
|
||||
this.curve = curve;
|
||||
this.g = g;
|
||||
this.n = n;
|
||||
this.h = h;
|
||||
}
|
||||
function x9getCurve() {
|
||||
return this.curve;
|
||||
}
|
||||
function x9getG() {
|
||||
return this.g;
|
||||
}
|
||||
function x9getN() {
|
||||
return this.n;
|
||||
}
|
||||
function x9getH() {
|
||||
return this.h;
|
||||
}
|
||||
X9ECParameters.prototype.getCurve = x9getCurve;
|
||||
X9ECParameters.prototype.getG = x9getG;
|
||||
X9ECParameters.prototype.getN = x9getN;
|
||||
X9ECParameters.prototype.getH = x9getH;
|
||||
// ----------------
|
||||
// SECNamedCurves
|
||||
function fromHex(s) { return new BigInteger(s, 16); }
|
||||
function secp128r1() {
|
||||
// p = 2^128 - 2^97 - 1
|
||||
var p = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF");
|
||||
var a = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC");
|
||||
var b = fromHex("E87579C11079F43DD824993C2CEE5ED3");
|
||||
//byte[] S = Hex.decode("000E0D4D696E6768756151750CC03A4473D03679");
|
||||
var n = fromHex("FFFFFFFE0000000075A30D1B9038A115");
|
||||
var h = BigInteger.ONE;
|
||||
var curve = new ECCurveFp(p, a, b);
|
||||
var G = curve.decodePointHex("04"
|
||||
+ "161FF7528B899B2D0C28607CA52C5B86"
|
||||
+ "CF5AC8395BAFEB13C02DA292DDED7A83");
|
||||
return new X9ECParameters(curve, G, n, h);
|
||||
}
|
||||
function secp160k1() {
|
||||
// p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1
|
||||
var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73");
|
||||
var a = BigInteger.ZERO;
|
||||
var b = fromHex("7");
|
||||
//byte[] S = null;
|
||||
var n = fromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3");
|
||||
var h = BigInteger.ONE;
|
||||
var curve = new ECCurveFp(p, a, b);
|
||||
var G = curve.decodePointHex("04"
|
||||
+ "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB"
|
||||
+ "938CF935318FDCED6BC28286531733C3F03C4FEE");
|
||||
return new X9ECParameters(curve, G, n, h);
|
||||
}
|
||||
function secp160r1() {
|
||||
// p = 2^160 - 2^31 - 1
|
||||
var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF");
|
||||
var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC");
|
||||
var b = fromHex("1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45");
|
||||
//byte[] S = Hex.decode("1053CDE42C14D696E67687561517533BF3F83345");
|
||||
var n = fromHex("0100000000000000000001F4C8F927AED3CA752257");
|
||||
var h = BigInteger.ONE;
|
||||
var curve = new ECCurveFp(p, a, b);
|
||||
var G = curve.decodePointHex("04"
|
||||
+ "4A96B5688EF573284664698968C38BB913CBFC82"
|
||||
+ "23A628553168947D59DCC912042351377AC5FB32");
|
||||
return new X9ECParameters(curve, G, n, h);
|
||||
}
|
||||
function secp192k1() {
|
||||
// p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1
|
||||
var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37");
|
||||
var a = BigInteger.ZERO;
|
||||
var b = fromHex("3");
|
||||
//byte[] S = null;
|
||||
var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D");
|
||||
var h = BigInteger.ONE;
|
||||
var curve = new ECCurveFp(p, a, b);
|
||||
var G = curve.decodePointHex("04"
|
||||
+ "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D"
|
||||
+ "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D");
|
||||
return new X9ECParameters(curve, G, n, h);
|
||||
}
|
||||
function secp192r1() {
|
||||
// p = 2^192 - 2^64 - 1
|
||||
var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF");
|
||||
var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC");
|
||||
var b = fromHex("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1");
|
||||
//byte[] S = Hex.decode("3045AE6FC8422F64ED579528D38120EAE12196D5");
|
||||
var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831");
|
||||
var h = BigInteger.ONE;
|
||||
var curve = new ECCurveFp(p, a, b);
|
||||
var G = curve.decodePointHex("04"
|
||||
+ "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"
|
||||
+ "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811");
|
||||
return new X9ECParameters(curve, G, n, h);
|
||||
}
|
||||
function secp224r1() {
|
||||
// p = 2^224 - 2^96 + 1
|
||||
var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001");
|
||||
var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE");
|
||||
var b = fromHex("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4");
|
||||
//byte[] S = Hex.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5");
|
||||
var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D");
|
||||
var h = BigInteger.ONE;
|
||||
var curve = new ECCurveFp(p, a, b);
|
||||
var G = curve.decodePointHex("04"
|
||||
+ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"
|
||||
+ "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34");
|
||||
return new X9ECParameters(curve, G, n, h);
|
||||
}
|
||||
function secp256r1() {
|
||||
// p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1
|
||||
var p = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF");
|
||||
var a = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC");
|
||||
var b = fromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B");
|
||||
//byte[] S = Hex.decode("C49D360886E704936A6678E1139D26B7819F7E90");
|
||||
var n = fromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551");
|
||||
var h = BigInteger.ONE;
|
||||
var curve = new ECCurveFp(p, a, b);
|
||||
var G = curve.decodePointHex("04"
|
||||
+ "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"
|
||||
+ "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5");
|
||||
return new X9ECParameters(curve, G, n, h);
|
||||
}
|
||||
// TODO: make this into a proper hashtable
|
||||
function getSECCurveByName(name) {
|
||||
if(name == "secp128r1") return secp128r1();
|
||||
if(name == "secp160k1") return secp160k1();
|
||||
if(name == "secp160r1") return secp160r1();
|
||||
if(name == "secp192k1") return secp192k1();
|
||||
if(name == "secp192r1") return secp192r1();
|
||||
if(name == "secp224r1") return secp224r1();
|
||||
if(name == "secp256r1") return secp256r1();
|
||||
return null;
|
||||
}
|
||||
Loading…
Add table
Add a link
Reference in a new issue