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fork-openpgpjs/doc/jsbn.js.html
Robert Nelson 3680695a69 Implement node.js support and cleanup source tree. 
Rename resources to dist.

Eliminate keyring bundle and expose keyring class in openpgp module.

Add mochaTest grunt task to run node server-side tests.

Add node_pack grunt task to create npm package into dist and install it for testing.

Add node_store config property which specifies location of localStorage emulation when using node.

Add repository info to package.json.

Move util.js to src directory from util since it is the only file there.

Rename class properties in openpgp to the new class names.
2014-01-09 02:29:30 -08:00

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<title>JSDoc: Source: crypto/public_key/jsbn.js</title>
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<h1 class="page-title">Source: crypto/public_key/jsbn.js</h1>
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<pre class="prettyprint source"><code>/*
* Copyright (c) 2003-2005 Tom Wu (tjw@cs.Stanford.EDU)
* All Rights Reserved.
*
* Modified by Recurity Labs GmbH
*
* 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.
*/
/**
* @requires util
* @module crypto/public_key/jsbn
*/
var util = require('../../util.js');
// Basic JavaScript BN library - subset useful for RSA encryption.
// 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 &lt; 3*dvalue, x &lt; 2*dvalue, this_i &lt; 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 (&lt; 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 &lt;= 30 because we do bitwise ops
// on values up to 2*hdvalue^2-hdvalue-1 (&lt; 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) &lt;&lt; 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) &lt;&lt; 14) + w[j] + c;
c = (l >> 28) + (m >> 14) + xh * h;
w[j++] = l & 0xfffffff;
}
return c;
}
/*if(j_lm && (navigator != undefined &&
navigator.appName == "Microsoft Internet Explorer")) {
BigInteger.prototype.am = am2;
dbits = 30;
}
else if(j_lm && (navigator != undefined && 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 &lt;&lt; dbits) - 1);
BigInteger.prototype.DV = (1 &lt;&lt; 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 &lt;= 9; ++vv) BI_RC[rr++] = vv;
rr = "a".charCodeAt(0);
for (vv = 10; vv &lt; 36; ++vv) BI_RC[rr++] = vv;
rr = "A".charCodeAt(0);
for (vv = 10; vv &lt; 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 &lt;= x &lt; DV
function bnpFromInt(x) {
this.t = 1;
this.s = (x &lt; 0) ? -1 : 0;
if (x > 0) this[0] = x;
else if (x &lt; -1) this[0] = x + 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 &lt; 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 &lt;&lt; (this.DB - sh)) - 1)) &lt;&lt; sh;
this[this.t++] = (x >> (this.DB - sh));
} else
this[this.t - 1] |= x &lt;&lt; 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 &lt;&lt; (this.DB - sh)) - 1) &lt;&lt; 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 &lt; 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 &lt;&lt; k) - 1,
d, m = false,
r = "",
i = this.t;
var p = this.DB - (i * this.DB) % k;
if (i-- > 0) {
if (p &lt; this.DB && (d = this[i] >> p) > 0) {
m = true;
r = int2char(d);
}
while (i >= 0) {
if (p &lt; k) {
d = (this[i] & ((1 &lt;&lt; p) - 1)) &lt;&lt; (k - p);
d |= this[--i] >> (p += this.DB - k);
} else {
d = (this[i] >> (p -= k)) & km;
if (p &lt;= 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 &lt; 0) ? this.negate() : this;
}
// (public) return + if this > a, - if this &lt; 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 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 &lt;= 0) return 0;
return this.DB * (this.t - 1) + nbits(this[this.t - 1] ^ (this.s & this.DM));
}
// (protected) r = this &lt;&lt; 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 &lt; this.t; ++i) r[i - n] = this[i];
r.t = Math.max(this.t - n, 0);
r.s = this.s;
}
// (protected) r = this &lt;&lt; n
function bnpLShiftTo(n, r) {
var bs = n % this.DB;
var cbs = this.DB - bs;
var bm = (1 &lt;&lt; cbs) - 1;
var ds = Math.floor(n / this.DB),
c = (this.s &lt;&lt; bs) & this.DM,
i;
for (i = this.t - 1; i >= 0; --i) {
r[i + ds + 1] = (this[i] >> cbs) | c;
c = (this[i] & bm) &lt;&lt; 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 &lt;&lt; bs) - 1;
r[0] = this[ds] >> bs;
for (var i = ds + 1; i &lt; this.t; ++i) {
r[i - ds - 1] |= (this[i] & bm) &lt;&lt; cbs;
r[i - ds] = this[i] >> bs;
}
if (bs > 0) r[this.t - ds - 1] |= (this.s & bm) &lt;&lt; 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 &lt; m) {
c += this[i] - a[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
if (a.t &lt; this.t) {
c -= a.s;
while (i &lt; this.t) {
c += this[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
c += this.s;
} else {
c += this.s;
while (i &lt; a.t) {
c -= a[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
c -= a.s;
}
r.s = (c &lt; 0) ? -1 : 0;
if (c &lt; -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 &lt; 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 &lt; 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 &lt;= 0) return;
var pt = this.abs();
if (pt.t &lt; 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 &lt;&lt; this.F1) + ((ys > 1) ? y[ys - 2] >> this.F2 : 0);
var d1 = this.FV / yt,
d2 = (1 &lt;&lt; this.F1) / yt,
e = 1 &lt;&lt; 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 &lt; 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)) &lt; qd) { // Try it out
y.dlShiftTo(j, t);
r.subTo(t, r);
while (r[i] &lt; --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 &lt; 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 &lt; 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 &lt; 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 &lt; 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 &lt; DB &lt;= 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 &lt; y &lt; 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 &lt;&lt; (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 &lt; 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 &lt;= this.mt2) // pad x so am has enough room later
x[x.t++] = 0;
for (var i = 0; i &lt; 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) &lt;&lt; 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 &lt; 2^32, doing sqr and mul with "r" (HAC 14.79)
function bnpExp(e, z) {
if (e > 0xffffffff || e &lt; 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 &lt;&lt; i)) > 0) z.mulTo(r2, g, r);
else {
var t = r;
r = r2;
r2 = t;
}
}
return z.revert(r);
}
// (public) this^e % m, 0 &lt;= e &lt; 2^32
function bnModPowInt(e, m) {
var z;
if (e &lt; 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);
module.exports = BigInteger;
/*
* Copyright (c) 2003-2005 Tom Wu (tjw@cs.Stanford.EDU)
* All Rights Reserved.
*
* Modified by Recurity Labs GmbH
*
* 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.
*/
// 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 &lt; 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 &lt; DB &lt; 32
return ((this[1] & ((1 &lt;&lt; (32 - this.DB)) - 1)) &lt;&lt; this.DB) | this[0];
}
// (public) return value as byte
function bnByteValue() {
return (this.t == 0) ? this.s : (this[0] &lt;&lt; 24) >> 24;
}
// (public) return value as short (assumes DB>=16)
function bnShortValue() {
return (this.t == 0) ? this.s : (this[0] &lt;&lt; 16) >> 16;
}
// (protected) return x s.t. r^x &lt; 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 &lt; 0) return -1;
else if (this.t &lt;= 0 || (this.t == 1 && this[0] &lt;= 0)) return 0;
else return 1;
}
// (protected) convert to radix string
function bnpToRadix(b) {
if (b == null) b = 10;
if (this.signum() == 0 || b &lt; 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 &lt; s.length; ++i) {
var x = intAt(s, i);
if (x &lt; 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 &lt; 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 &lt;&lt; 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 &lt; this.DB && (d = this[i] >> p) != (this.s & this.DM) >> p)
r[k++] = d | (this.s &lt;&lt; (this.DB - p));
while (i >= 0) {
if (p &lt; 8) {
d = (this[i] & ((1 &lt;&lt; p) - 1)) &lt;&lt; (8 - p);
d |= this[--i] >> (p += this.DB - 8);
} else {
d = (this[i] >> (p -= 8)) & 0xff;
if (p &lt;= 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) &lt; 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 &lt; m; ++i) r[i] = op(this[i], a[i]);
if (a.t &lt; this.t) {
f = a.s & this.DM;
for (i = m; i &lt; this.t; ++i) r[i] = op(this[i], f);
r.t = this.t;
} else {
f = this.s & this.DM;
for (i = m; i &lt; 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 &lt; this.t; ++i) r[i] = this.DM & ~this[i];
r.t = this.t;
r.s = ~this.s;
return r;
}
// (public) this &lt;&lt; n
function bnShiftLeft(n) {
var r = nbi();
if (n &lt; 0) this.rShiftTo(-n, r);
else this.lShiftTo(n, r);
return r;
}
// (public) this >> n
function bnShiftRight(n) {
var r = nbi();
if (n &lt; 0) this.lShiftTo(-n, r);
else this.rShiftTo(n, r);
return r;
}
// return index of lowest 1-bit in x, x &lt; 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 &lt; this.t; ++i)
if (this[i] != 0) return i * this.DB + lbit(this[i]);
if (this.s &lt; 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 &lt; 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 &lt;&lt; (n % this.DB))) != 0);
}
// (protected) this op (1&lt;&lt;n)
function bnpChangeBit(n, op) {
var r = BigInteger.ONE.shiftLeft(n);
this.bitwiseTo(r, op, r);
return r;
}
// (public) this | (1&lt;&lt;n)
function bnSetBit(n) {
return this.changeBit(n, op_or);
}
// (public) this & ~(1&lt;&lt;n)
function bnClearBit(n) {
return this.changeBit(n, op_andnot);
}
// (public) this ^ (1&lt;&lt;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 &lt; m) {
c += this[i] + a[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
if (a.t &lt; this.t) {
c += a.s;
while (i &lt; this.t) {
c += this[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
c += this.s;
} else {
c += this.s;
while (i &lt; a.t) {
c += a[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
c += a.s;
}
r.s = (c &lt; 0) ? -1 : 0;
if (c > 0) r[i++] = c;
else if (c &lt; -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 &lt; n &lt; DV
function bnpDMultiply(n) {
this[this.t] = this.am(0, n - 1, this, 0, 0, this.t);
++this.t;
this.clamp();
}
// (protected) this += n &lt;&lt; w words, this >= 0
function bnpDAddOffset(n, w) {
if (n == 0) return;
while (this.t &lt;= 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 &lt;= 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 &lt; j; ++i) r[i + this.t] = this.am(0, a[i], r, i, 0, this.t);
for (j = Math.min(a.t, n); i &lt; 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 &lt; 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 &lt; 0 || x.t > 2 * this.m.t) return x.mod(this.m);
else if (x.compareTo(this.m) &lt; 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) &lt; 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 &lt;= 0) return r;
else if (i &lt; 18) k = 1;
else if (i &lt; 48) k = 3;
else if (i &lt; 144) k = 4;
else if (i &lt; 768) k = 5;
else k = 6;
if (i &lt; 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 &lt;&lt; k) - 1;
g[1] = z.convert(this);
if (k > 1) {
var g2 = nbi();
z.sqrTo(g[1], g2);
while (n &lt;= 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 &lt;&lt; (i + 1)) - 1)) &lt;&lt; (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) &lt; 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 &lt;&lt; i)) == 0) {
z.sqrTo(r, r2);
t = r;
r = r2;
r2 = t;
if (--i &lt; 0) {
i = this.DB - 1;
--j;
}
}
}
return z.revert(r);
}
// (public) gcd(this,a) (HAC 14.54)
function bnGCD(a) {
var x = (this.s &lt; 0) ? this.negate() : this.clone();
var y = (a.s &lt; 0) ? a.negate() : a.clone();
if (x.compareTo(y) &lt; 0) {
var t = x;
x = y;
y = t;
}
var i = x.getLowestSetBit(),
g = y.getLowestSetBit();
if (g &lt; 0) return x;
if (i &lt; 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 &lt; 2^26
function bnpModInt(n) {
if (n &lt;= 0) return 0;
var d = this.DV % n,
r = (this.s &lt; 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() &lt; 0) d.addTo(m, d);
else return d;
if (d.signum() &lt; 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 &lt;&lt; 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] &lt;= lowprimes[lowprimes.length - 1]) {
for (i = 0; i &lt; lowprimes.length; ++i)
if (x[0] == lowprimes[i]) return true;
return false;
}
if (x.isEven()) return false;
i = 1;
while (i &lt; lowprimes.length) {
var m = lowprimes[i],
j = i + 1;
while (j &lt; lowprimes.length && m &lt; lplim) m *= lowprimes[j++];
m = x.modInt(m);
while (i &lt; j) if (m % lowprimes[i++] == 0) return false;
}
return x.millerRabin(t);
}
/* added by Recurity Labs */
function nbits(x) {
var n = 1,
t;
if ((t = x >>> 16) != 0) {
x = t;
n += 16;
}
if ((t = x >> 8) != 0) {
x = t;
n += 8;
}
if ((t = x >> 4) != 0) {
x = t;
n += 4;
}
if ((t = x >> 2) != 0) {
x = t;
n += 2;
}
if ((t = x >> 1) != 0) {
x = t;
n += 1;
}
return n;
}
function bnToMPI() {
var ba = this.toByteArray();
var size = (ba.length - 1) * 8 + nbits(ba[0]);
var result = "";
result += String.fromCharCode((size & 0xFF00) >> 8);
result += String.fromCharCode(size & 0xFF);
result += util.bin2str(ba);
return result;
}
/* END of addition */
// (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 &lt;= 0) return false;
var r = n1.shiftRight(k);
t = (t + 1) >> 1;
if (t > lowprimes.length) t = lowprimes.length;
var a = nbi();
var j, bases = [];
for (var i = 0; i &lt; t; ++i) {
//Pick bases at random, instead of starting at 2
for (;;) {
j = lowprimes[Math.floor(Math.random() * lowprimes.length)];
if (bases.indexOf(j) == -1) break;
}
bases.push(j);
a.fromInt(j);
var y = a.modPow(r, this);
if (y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) {
var j = 1;
while (j++ &lt; 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;
}
var BigInteger = require('./jsbn.js');
// 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;
BigInteger.prototype.toMPI = bnToMPI;
// JSBN-specific extension
BigInteger.prototype.square = bnSquare;
</code></pre>
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