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index.html
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241
index.html
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<html>
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<head>
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<title>JavaScript ECC demo (Windows XP VLK Generator)</title>
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</head>
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<script language="JavaScript" type="text/javascript" src="jsbn.js"> </script>
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<script language="JavaScript" type="text/javascript" src="jsbn2.js"> </script>
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<script language="JavaScript" type="text/javascript" src="sha1.js"> </script>
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<script language="JavaScript" type="text/javascript">
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function addmod(x, a, b, m) {
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a.addTo(b, x);
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while (x.compareTo(m) >= 0) { x.subTo(m, x); }
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}
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function dblmod(x, a, m) {
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a.lShiftTo(1, x);
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while (x.compareTo(m) >= 0) { x.subTo(m, x); }
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}
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function submod(x, a, b, m) {
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a.subTo(b, x);
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while (x.compareTo(BigInteger.ZERO) < 0) { x.addTo(m, x); }
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}
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function mulmod(x, a, b, barrett) {
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barrett.mulTo(a, b, x);
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}
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function sqrmod(x, a, barrett) {
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barrett.sqrTo(a, x);
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}
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function Point(x, y, inf) {
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this.x = x;
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this.y = y;
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this.inf = inf;
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}
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function Ecc(a, b, p) {
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this.barrett = new Barrett(p);
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this.p = p;
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this.a = a;
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this.b = b;
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}
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function pinf() { return new Point(0, 0, true); }
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Ecc.prototype.add = function(p1, p2) {
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if (p1.inf) { return p2; }
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if (p2.inf) { return p1; }
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var t1 = nbi();
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var t2 = nbi();
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var l = nbi();
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if (p1.x.compareTo(p2.x) != 0) {
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submod(t1, p1.y, p2.y, this.p);
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submod(t2, p1.x, p2.x, this.p);
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} else {
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if (p1.y.compareTo(p2.y) != 0 || p2.y.compareTo(BigInteger.ZERO) == 0) { return Ecc.INF; }
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sqrmod(t1, p2.x, this.barrett);
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dblmod(t2, t1, this.p);
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addmod(t1, t2, t1, this.p);
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addmod(t1, t1, this.a, this.p);
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dblmod(t2, p2.y, this.p);
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}
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mulmod(l, t1, t2.modInverse(this.p), this.barrett);
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var x3 = nbi();
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var y3 = nbi();
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sqrmod(x3, l, this.barrett);
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submod(x3, x3, p1.x, this.p);
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submod(x3, x3, p2.x, this.p);
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submod(y3, p2.x, x3, this.p);
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mulmod(t1, y3, l, this.barrett);
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submod(y3, t1, p2.y, this.p);
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return new Point(x3, y3, false);
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}
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Ecc.prototype.neg = function(p) {
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var ny = nbi();
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this.p.subTo(p.y, ny);
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return new Point(p.x, ny, false);
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}
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Ecc.prototype.mul = function(p1, n) {
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var p = pinf();
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var i;
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var n3 = nbi();
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n.addTo(n, n3);
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n.addTo(n3, n3);
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var np1 = this.neg(p1);
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for (i = n3.bitLength() - 1; i >= 1; i--) {
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p = this.add(p, p);
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if (n3.testBit(i) && !n.testBit(i)) {
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p = this.add(p, p1);
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} else if (!n3.testBit(i) && n.testBit(i)) {
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p = this.add(p, np1);
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}
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}
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return p;
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}
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var cset = "BCDFGHJKMPQRTVWXY2346789";
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var hexc = "0123456789abcdef";
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var xpecc = new Ecc(
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new BigInteger("1", 16),
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new BigInteger("0", 16),
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new BigInteger("92ddcf14cb9e71f4489a2e9ba350ae29454d98cb93bdbcc07d62b502ea12238ee904a8b20d017197aae0c103b32713a9", 16)
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);
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var g = new Point(
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new BigInteger("46e3775ece21b0898d39bea57050d422a0af989e497962baee2cb17e0a28d5360d5476b8dc966443e37a14f1aef37742", 16),
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new BigInteger("7c8e741d2c34f4478e325469cd491603d807222c9c4ac09ddb2b31b3ce3f7cc191b3580079932bc6bef70be27604f65e", 16),
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false
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);
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// order of g
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var order = new BigInteger("db6b4c58efbafd", 16);
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// pirvate key
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var priv = new BigInteger("565b0dff8496c8", 16);
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function hexToByte(s) {
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t = "";
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var i, j;
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if (s.length % 2 != 0) { s = "0" + s; }
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for (i = 0; i < s.length; i += 2) {
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t += String.fromCharCode(parseInt(s.substr(i, 2), 16));
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}
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return t;
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}
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function reverse(s) {
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t = "";
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var i;
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for (i = s.length - 1; i >= 0; i--) {
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t += s.charAt(i);
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}
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return t;
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}
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function random(n) {
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t = "";
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var i;
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for (i = 0; i < 2*n; i++) {
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t += hexc.charAt(Math.floor(Math.random() * 16));
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}
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k = nbi();
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k.fromString(t, 16);
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return k;
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}
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function generate() {
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pid = 640000000 << 1;
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maxkey = new BigInteger("62A32B15517FFFFFFFFFFFFFFFFFF", 16); // 24^25-1
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do {
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// calculate the Schnorr signature of pid (http://en.wikipedia.org/wiki/Schnorr_signature)
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var k = random(7);
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//log("k: " + k.toString(16));
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var r = xpecc.mul(g, k);
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var x = reverse(hexToByte(r.x.toString(16)));
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var y = reverse(hexToByte(r.y.toString(16)));
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while (x.length < 48) { x = x + '�'; }
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while (y.length < 48) { y = y + '�'; }
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var h = calcSHA1(
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String.fromCharCode(pid & 0xff) +
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String.fromCharCode((pid >> 8) & 0xff) +
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String.fromCharCode((pid >> 16) & 0xff) +
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String.fromCharCode((pid >> 24) & 0xff) +
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x + y
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);
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h = hexToByte(h.substr(0, 8));
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h = (h.charCodeAt(0) + (h.charCodeAt(1) << 8) + (h.charCodeAt(2) << 16) + (h.charCodeAt(3) << 24)) >>> 4;
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h = new BigInteger(h.toString(16), 16);
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var s = nbi();
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priv.multiplyTo(h, s);
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s = s.mod(order);
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// private key is inverted, add instead of subtract
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s.addTo(k, s);
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while (s.compareTo(order) >= 0) { s.subTo(order, s); }
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// key = s (56) || h (28) || pid (31)
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var key = new BigInteger(pid.toString(16), 16);
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key.addTo(h.shiftLeft(31), key);
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key.addTo(s.shiftLeft(59), key);
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} while (key.compareTo(maxkey) > 0);
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var skey = "";
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var t;
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var i;
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var base = new BigInteger("24", 10);
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// skey = base 24 of key
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for (i = 0; i < 25; i++) {
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t = key.divideAndRemainder(base);
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key = t[0];
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t = t[1];
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skey = cset.charAt(parseInt(t.toString(16), 16)) + skey;
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}
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t = "";
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for (i = 0; i < 25; i++) {
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t += skey.charAt(i);
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if (i != 24 && i % 5 == 4) { t += "-"; }
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}
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return t;
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}
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</script>
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<body>
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<h2>JavaScript Elliptic Curve Crypto Demo<h2>
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<h3>Windows XP VLK Generator</h3>
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<input type="button" value="Generate" onClick="do_generate();"/>
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<input type="text" size="30" id="key" /><br>
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<font size="-1">some generated keys may be invalid</font>
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<tt>
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<div id="msg">
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</div>
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</tt>
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<script type="text/javascript">
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function log(m) {
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document.getElementById("msg").innerHTML += m + "<br>"
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}
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function do_generate() {
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var key = document.getElementById("key");
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key.value = generate();
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}
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</script>
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<br>
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<hr>
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<a href = "http://winsupport.co.cc/downloads/Other/tmp/xpkey-0.03.cpp.txt">Original C code</a><br>
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<a href="http://www-cs-students.stanford.edu/~tjw/jsbn/">Big Integer and SHA-1 library</a>
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</body>
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</html>
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559
jsbn.js
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559
jsbn.js
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// Copyright (c) 2005 Tom Wu
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// All Rights Reserved.
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// See "LICENSE" for details.
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// Basic JavaScript BN library - subset useful for RSA encryption.
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// Bits per digit
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var dbits;
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// JavaScript engine analysis
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var canary = 0xdeadbeefcafe;
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var j_lm = ((canary&0xffffff)==0xefcafe);
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// (public) Constructor
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function BigInteger(a,b,c) {
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if(a != null)
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if("number" == typeof a) this.fromNumber(a,b,c);
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else if(b == null && "string" != typeof a) this.fromString(a,256);
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else this.fromString(a,b);
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}
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// return new, unset BigInteger
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function nbi() { return new BigInteger(null); }
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// am: Compute w_j += (x*this_i), propagate carries,
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// c is initial carry, returns final carry.
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// c < 3*dvalue, x < 2*dvalue, this_i < dvalue
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// We need to select the fastest one that works in this environment.
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// am1: use a single mult and divide to get the high bits,
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// max digit bits should be 26 because
|
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// max internal value = 2*dvalue^2-2*dvalue (< 2^53)
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function am1(i,x,w,j,c,n) {
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while(--n >= 0) {
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var v = x*this[i++]+w[j]+c;
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c = Math.floor(v/0x4000000);
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w[j++] = v&0x3ffffff;
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}
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return c;
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}
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// am2 avoids a big mult-and-extract completely.
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// Max digit bits should be <= 30 because we do bitwise ops
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// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
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function am2(i,x,w,j,c,n) {
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var xl = x&0x7fff, xh = x>>15;
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while(--n >= 0) {
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var l = this[i]&0x7fff;
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var h = this[i++]>>15;
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var m = xh*l+h*xl;
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l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff);
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c = (l>>>30)+(m>>>15)+xh*h+(c>>>30);
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w[j++] = l&0x3fffffff;
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}
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return c;
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}
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// Alternately, set max digit bits to 28 since some
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// browsers slow down when dealing with 32-bit numbers.
|
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function am3(i,x,w,j,c,n) {
|
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var xl = x&0x3fff, xh = x>>14;
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while(--n >= 0) {
|
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var l = this[i]&0x3fff;
|
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var h = this[i++]>>14;
|
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var m = xh*l+h*xl;
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l = xl*l+((m&0x3fff)<<14)+w[j]+c;
|
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c = (l>>28)+(m>>14)+xh*h;
|
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w[j++] = l&0xfffffff;
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}
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return c;
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}
|
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if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) {
|
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BigInteger.prototype.am = am2;
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dbits = 30;
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}
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else if(j_lm && (navigator.appName != "Netscape")) {
|
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BigInteger.prototype.am = am1;
|
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dbits = 26;
|
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}
|
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else { // Mozilla/Netscape seems to prefer am3
|
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BigInteger.prototype.am = am3;
|
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dbits = 28;
|
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}
|
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|
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BigInteger.prototype.DB = dbits;
|
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BigInteger.prototype.DM = ((1<<dbits)-1);
|
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BigInteger.prototype.DV = (1<<dbits);
|
||||
|
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var BI_FP = 52;
|
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BigInteger.prototype.FV = Math.pow(2,BI_FP);
|
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BigInteger.prototype.F1 = BI_FP-dbits;
|
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BigInteger.prototype.F2 = 2*dbits-BI_FP;
|
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|
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// Digit conversions
|
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var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
|
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var BI_RC = new Array();
|
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var rr,vv;
|
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rr = "0".charCodeAt(0);
|
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for(vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv;
|
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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) {
|
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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);
|
||||
656
jsbn2.js
Normal file
656
jsbn2.js
Normal file
|
|
@ -0,0 +1,656 @@
|
|||
// 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)
|
||||
181
sha1.js
Normal file
181
sha1.js
Normal file
|
|
@ -0,0 +1,181 @@
|
|||
/*
|
||||
* A JavaScript implementation of the Secure Hash Algorithm, SHA-1, as defined
|
||||
* in FIPS PUB 180-1
|
||||
* Copyright (C) Paul Johnston 2000.
|
||||
* See http://pajhome.org.uk/site/legal.html for details.
|
||||
*/
|
||||
/*
|
||||
* Modified by Tom Wu (tjw@cs.stanford.edu) for the
|
||||
* SRP JavaScript implementation.
|
||||
*/
|
||||
|
||||
/*
|
||||
* Convert a 32-bit number to a hex string with ms-byte first
|
||||
*/
|
||||
var hex_chr = "0123456789abcdef";
|
||||
function hex(num)
|
||||
{
|
||||
var str = "";
|
||||
for(var j = 7; j >= 0; j--)
|
||||
str += hex_chr.charAt((num >> (j * 4)) & 0x0F);
|
||||
return str;
|
||||
}
|
||||
|
||||
/*
|
||||
* Convert a string to a sequence of 16-word blocks, stored as an array.
|
||||
* Append padding bits and the length, as described in the SHA1 standard.
|
||||
*/
|
||||
function str2blks_SHA1(str)
|
||||
{
|
||||
var nblk = ((str.length + 8) >> 6) + 1;
|
||||
var blks = new Array(nblk * 16);
|
||||
for(var i = 0; i < nblk * 16; i++) blks[i] = 0;
|
||||
for(i = 0; i < str.length; i++)
|
||||
blks[i >> 2] |= str.charCodeAt(i) << (24 - (i % 4) * 8);
|
||||
blks[i >> 2] |= 0x80 << (24 - (i % 4) * 8);
|
||||
blks[nblk * 16 - 1] = str.length * 8;
|
||||
return blks;
|
||||
}
|
||||
|
||||
/*
|
||||
* Input is in hex format - trailing odd nibble gets a zero appended.
|
||||
*/
|
||||
function hex2blks_SHA1(hex)
|
||||
{
|
||||
var len = (hex.length + 1) >> 1;
|
||||
var nblk = ((len + 8) >> 6) + 1;
|
||||
var blks = new Array(nblk * 16);
|
||||
for(var i = 0; i < nblk * 16; i++) blks[i] = 0;
|
||||
for(i = 0; i < len; i++)
|
||||
blks[i >> 2] |= parseInt(hex.substr(2*i, 2), 16) << (24 - (i % 4) * 8);
|
||||
blks[i >> 2] |= 0x80 << (24 - (i % 4) * 8);
|
||||
blks[nblk * 16 - 1] = len * 8;
|
||||
return blks;
|
||||
}
|
||||
|
||||
function ba2blks_SHA1(ba, off, len)
|
||||
{
|
||||
var nblk = ((len + 8) >> 6) + 1;
|
||||
var blks = new Array(nblk * 16);
|
||||
for(var i = 0; i < nblk * 16; i++) blks[i] = 0;
|
||||
for(i = 0; i < len; i++)
|
||||
blks[i >> 2] |= (ba[off + i] & 0xFF) << (24 - (i % 4) * 8);
|
||||
blks[i >> 2] |= 0x80 << (24 - (i % 4) * 8);
|
||||
blks[nblk * 16 - 1] = len * 8;
|
||||
return blks;
|
||||
}
|
||||
|
||||
/*
|
||||
* Add integers, wrapping at 2^32. This uses 16-bit operations internally
|
||||
* to work around bugs in some JS interpreters.
|
||||
*/
|
||||
function add(x, y)
|
||||
{
|
||||
var lsw = (x & 0xFFFF) + (y & 0xFFFF);
|
||||
var msw = (x >> 16) + (y >> 16) + (lsw >> 16);
|
||||
return (msw << 16) | (lsw & 0xFFFF);
|
||||
}
|
||||
|
||||
/*
|
||||
* Bitwise rotate a 32-bit number to the left
|
||||
*/
|
||||
function rol(num, cnt)
|
||||
{
|
||||
return (num << cnt) | (num >>> (32 - cnt));
|
||||
}
|
||||
|
||||
/*
|
||||
* Perform the appropriate triplet combination function for the current
|
||||
* iteration
|
||||
*/
|
||||
function ft(t, b, c, d)
|
||||
{
|
||||
if(t < 20) return (b & c) | ((~b) & d);
|
||||
if(t < 40) return b ^ c ^ d;
|
||||
if(t < 60) return (b & c) | (b & d) | (c & d);
|
||||
return b ^ c ^ d;
|
||||
}
|
||||
|
||||
/*
|
||||
* Determine the appropriate additive constant for the current iteration
|
||||
*/
|
||||
function kt(t)
|
||||
{
|
||||
return (t < 20) ? 1518500249 : (t < 40) ? 1859775393 :
|
||||
(t < 60) ? -1894007588 : -899497514;
|
||||
}
|
||||
|
||||
/*
|
||||
* Take a string and return the hex representation of its SHA-1.
|
||||
*/
|
||||
function calcSHA1(str)
|
||||
{
|
||||
return calcSHA1Blks(str2blks_SHA1(str));
|
||||
}
|
||||
|
||||
function calcSHA1Hex(str)
|
||||
{
|
||||
return calcSHA1Blks(hex2blks_SHA1(str));
|
||||
}
|
||||
|
||||
function calcSHA1BA(ba)
|
||||
{
|
||||
return calcSHA1Blks(ba2blks_SHA1(ba, 0, ba.length));
|
||||
}
|
||||
|
||||
function calcSHA1BAEx(ba, off, len)
|
||||
{
|
||||
return calcSHA1Blks(ba2blks_SHA1(ba, off, len));
|
||||
}
|
||||
|
||||
function calcSHA1Blks(x)
|
||||
{
|
||||
var s = calcSHA1Raw(x);
|
||||
return hex(s[0]) + hex(s[1]) + hex(s[2]) + hex(s[3]) + hex(s[4]);
|
||||
}
|
||||
|
||||
function calcSHA1Raw(x)
|
||||
{
|
||||
var w = new Array(80);
|
||||
|
||||
var a = 1732584193;
|
||||
var b = -271733879;
|
||||
var c = -1732584194;
|
||||
var d = 271733878;
|
||||
var e = -1009589776;
|
||||
|
||||
for(var i = 0; i < x.length; i += 16)
|
||||
{
|
||||
var olda = a;
|
||||
var oldb = b;
|
||||
var oldc = c;
|
||||
var oldd = d;
|
||||
var olde = e;
|
||||
|
||||
for(var j = 0; j < 80; j++)
|
||||
{
|
||||
var t;
|
||||
if(j < 16) w[j] = x[i + j];
|
||||
else w[j] = rol(w[j-3] ^ w[j-8] ^ w[j-14] ^ w[j-16], 1);
|
||||
t = add(add(rol(a, 5), ft(j, b, c, d)), add(add(e, w[j]), kt(j)));
|
||||
e = d;
|
||||
d = c;
|
||||
c = rol(b, 30);
|
||||
b = a;
|
||||
a = t;
|
||||
}
|
||||
|
||||
a = add(a, olda);
|
||||
b = add(b, oldb);
|
||||
c = add(c, oldc);
|
||||
d = add(d, oldd);
|
||||
e = add(e, olde);
|
||||
}
|
||||
return new Array(a, b, c, d, e);
|
||||
}
|
||||
|
||||
function core_sha1(x, len) {
|
||||
x[len >> 5] |= 0x80 << (24 - len % 32)
|
||||
x[((len + 64 >> 9) << 4) + 15] = len
|
||||
return calcSHA1Raw(x)
|
||||
}
|
||||
Loading…
Add table
Add a link
Reference in a new issue