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authorMinteck <contact@minteck.org>2022-10-18 08:59:09 +0200
committerMinteck <contact@minteck.org>2022-10-18 08:59:09 +0200
commit2c4ae43e688a9873e86211ea0e7aeb9ba770dd77 (patch)
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+// Copyright (c) 2005 Tom Wu
+// All Rights Reserved.
+// See "LICENSE" for details.
+
+// Basic JavaScript BN library - subset useful for RSA encryption.
+
+/*
+Licensing (LICENSE)
+-------------------
+
+This software is covered under the following copyright:
+*/
+/*
+ * Copyright (c) 2003-2005 Tom Wu
+ * All Rights Reserved.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining
+ * a copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be
+ * included in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND,
+ * EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
+ * WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
+ *
+ * IN NO EVENT SHALL TOM WU BE LIABLE FOR ANY SPECIAL, INCIDENTAL,
+ * INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, OR ANY DAMAGES WHATSOEVER
+ * RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER OR NOT ADVISED OF
+ * THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF LIABILITY, ARISING OUT
+ * OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ *
+ * In addition, the following condition applies:
+ *
+ * All redistributions must retain an intact copy of this copyright notice
+ * and disclaimer.
+ */
+/*
+Address all questions regarding this license to:
+
+ Tom Wu
+ tjw@cs.Stanford.EDU
+*/
+
+(function() {
+/* ########## Begin module implementation ########## */
+function initModule(forge) {
+
+// Bits per digit
+var dbits;
+
+// JavaScript engine analysis
+var canary = 0xdeadbeefcafe;
+var j_lm = ((canary&0xffffff)==0xefcafe);
+
+// (public) Constructor
+function BigInteger(a,b,c) {
+ this.data = [];
+ if(a != null)
+ if("number" == typeof a) this.fromNumber(a,b,c);
+ else if(b == null && "string" != typeof a) this.fromString(a,256);
+ else this.fromString(a,b);
+}
+
+// return new, unset BigInteger
+function nbi() { return new BigInteger(null); }
+
+// am: Compute w_j += (x*this_i), propagate carries,
+// c is initial carry, returns final carry.
+// c < 3*dvalue, x < 2*dvalue, this_i < dvalue
+// We need to select the fastest one that works in this environment.
+
+// am1: use a single mult and divide to get the high bits,
+// max digit bits should be 26 because
+// max internal value = 2*dvalue^2-2*dvalue (< 2^53)
+function am1(i,x,w,j,c,n) {
+ while(--n >= 0) {
+ var v = x*this.data[i++]+w.data[j]+c;
+ c = Math.floor(v/0x4000000);
+ w.data[j++] = v&0x3ffffff;
+ }
+ return c;
+}
+// am2 avoids a big mult-and-extract completely.
+// Max digit bits should be <= 30 because we do bitwise ops
+// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
+function am2(i,x,w,j,c,n) {
+ var xl = x&0x7fff, xh = x>>15;
+ while(--n >= 0) {
+ var l = this.data[i]&0x7fff;
+ var h = this.data[i++]>>15;
+ var m = xh*l+h*xl;
+ l = xl*l+((m&0x7fff)<<15)+w.data[j]+(c&0x3fffffff);
+ c = (l>>>30)+(m>>>15)+xh*h+(c>>>30);
+ w.data[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.data[i]&0x3fff;
+ var h = this.data[i++]>>14;
+ var m = xh*l+h*xl;
+ l = xl*l+((m&0x3fff)<<14)+w.data[j]+c;
+ c = (l>>28)+(m>>14)+xh*h;
+ w.data[j++] = l&0xfffffff;
+ }
+ return c;
+}
+
+// node.js (no browser)
+if(typeof(navigator) === 'undefined')
+{
+ BigInteger.prototype.am = am3;
+ dbits = 28;
+} else if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) {
+ BigInteger.prototype.am = am2;
+ dbits = 30;
+} else if(j_lm && (navigator.appName != "Netscape")) {
+ BigInteger.prototype.am = am1;
+ dbits = 26;
+} else { // Mozilla/Netscape seems to prefer am3
+ BigInteger.prototype.am = am3;
+ dbits = 28;
+}
+
+BigInteger.prototype.DB = dbits;
+BigInteger.prototype.DM = ((1<<dbits)-1);
+BigInteger.prototype.DV = (1<<dbits);
+
+var BI_FP = 52;
+BigInteger.prototype.FV = Math.pow(2,BI_FP);
+BigInteger.prototype.F1 = BI_FP-dbits;
+BigInteger.prototype.F2 = 2*dbits-BI_FP;
+
+// Digit conversions
+var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
+var BI_RC = new Array();
+var rr,vv;
+rr = "0".charCodeAt(0);
+for(vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv;
+rr = "a".charCodeAt(0);
+for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
+rr = "A".charCodeAt(0);
+for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
+
+function int2char(n) { return BI_RM.charAt(n); }
+function intAt(s,i) {
+ var c = BI_RC[s.charCodeAt(i)];
+ return (c==null)?-1:c;
+}
+
+// (protected) copy this to r
+function bnpCopyTo(r) {
+ for(var i = this.t-1; i >= 0; --i) r.data[i] = this.data[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.data[0] = x;
+ else if(x < -1) this.data[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.data[this.t++] = x;
+ else if(sh+k > this.DB) {
+ this.data[this.t-1] |= (x&((1<<(this.DB-sh))-1))<<sh;
+ this.data[this.t++] = (x>>(this.DB-sh));
+ } else
+ this.data[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.data[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.data[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.data[i]>>p) > 0) { m = true; r = int2char(d); }
+ while(i >= 0) {
+ if(p < k) {
+ d = (this.data[i]&((1<<p)-1))<<(k-p);
+ d |= this.data[--i]>>(p+=this.DB-k);
+ } else {
+ d = (this.data[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.data[i]-a.data[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.data[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.data[i+n] = this.data[i];
+ for(i = n-1; i >= 0; --i) r.data[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.data[i-n] = this.data[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.data[i+ds+1] = (this.data[i]>>cbs)|c;
+ c = (this.data[i]&bm)<<bs;
+ }
+ for(i = ds-1; i >= 0; --i) r.data[i] = 0;
+ r.data[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.data[0] = this.data[ds]>>bs;
+ for(var i = ds+1; i < this.t; ++i) {
+ r.data[i-ds-1] |= (this.data[i]&bm)<<cbs;
+ r.data[i-ds] = this.data[i]>>bs;
+ }
+ if(bs > 0) r.data[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.data[i]-a.data[i];
+ r.data[i++] = c&this.DM;
+ c >>= this.DB;
+ }
+ if(a.t < this.t) {
+ c -= a.s;
+ while(i < this.t) {
+ c += this.data[i];
+ r.data[i++] = c&this.DM;
+ c >>= this.DB;
+ }
+ c += this.s;
+ } else {
+ c += this.s;
+ while(i < a.t) {
+ c -= a.data[i];
+ r.data[i++] = c&this.DM;
+ c >>= this.DB;
+ }
+ c -= a.s;
+ }
+ r.s = (c<0)?-1:0;
+ if(c < -1) r.data[i++] = this.DV+c;
+ else if(c > 0) r.data[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.data[i] = 0;
+ for(i = 0; i < y.t; ++i) r.data[i+x.t] = x.am(0,y.data[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.data[i] = 0;
+ for(i = 0; i < x.t-1; ++i) {
+ var c = x.am(i,x.data[i],r,2*i,0,1);
+ if((r.data[i+x.t]+=x.am(i+1,2*x.data[i],r,2*i+1,c,x.t-i-1)) >= x.DV) {
+ r.data[i+x.t] -= x.DV;
+ r.data[i+x.t+1] = 1;
+ }
+ }
+ if(r.t > 0) r.data[r.t-1] += x.am(i,x.data[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.data[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.data[ys-1];
+ if(y0 == 0) return;
+ var yt = y0*(1<<this.F1)+((ys>1)?y.data[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.data[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.data[y.t++] = 0;
+ while(--j >= 0) {
+ // Estimate quotient digit
+ var qd = (r.data[--i]==y0)?this.DM:Math.floor(r.data[i]*d1+(r.data[i-1]+e)*d2);
+ if((r.data[i]+=y.am(0,qd,r,j,0,ys)) < qd) { // Try it out
+ y.dlShiftTo(j,t);
+ r.subTo(t,r);
+ while(r.data[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.data[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.data[x.t++] = 0;
+ for(var i = 0; i < this.m.t; ++i) {
+ // faster way of calculating u0 = x.data[i]*mp mod DV
+ var j = x.data[i]&0x7fff;
+ var u0 = (j*this.mpl+(((j*this.mph+(x.data[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.data[j] += this.m.am(0,u0,x,i,0,this.m.t);
+ // propagate carry
+ while(x.data[j] >= x.DV) { x.data[j] -= x.DV; x.data[++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.data[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);
+
+// jsbn2 lib
+
+//Copyright (c) 2005-2009 Tom Wu
+//All Rights Reserved.
+//See "LICENSE" for details (See jsbn.js for LICENSE).
+
+//Extended JavaScript BN functions, required for RSA private ops.
+
+//Version 1.1: new BigInteger("0", 10) returns "proper" zero
+
+//(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.data[0]-this.DV;
+ else if(this.t == 0) return -1;
+} else if(this.t == 1) return this.data[0];
+else if(this.t == 0) return 0;
+// assumes 16 < DB < 32
+return ((this.data[1]&((1<<(32-this.DB))-1))<<this.DB)|this.data[0];
+}
+
+//(public) return value as byte
+function bnByteValue() { return (this.t==0)?this.s:(this.data[0]<<24)>>24; }
+
+//(public) return value as short (assumes DB>=16)
+function bnShortValue() { return (this.t==0)?this.s:(this.data[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.data[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.data[i]>>p) != (this.s&this.DM)>>p)
+ r[k++] = d|(this.s<<(this.DB-p));
+ while(i >= 0) {
+ if(p < 8) {
+ d = (this.data[i]&((1<<p)-1))<<(8-p);
+ d |= this.data[--i]>>(p+=this.DB-8);
+ } else {
+ d = (this.data[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.data[i] = op(this.data[i],a.data[i]);
+if(a.t < this.t) {
+ f = a.s&this.DM;
+ for(i = m; i < this.t; ++i) r.data[i] = op(this.data[i],f);
+ r.t = this.t;
+} else {
+ f = this.s&this.DM;
+ for(i = m; i < a.t; ++i) r.data[i] = op(f,a.data[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.data[i] = this.DM&~this.data[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.data[i] != 0) return i*this.DB+lbit(this.data[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.data[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.data[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.data[i]+a.data[i];
+ r.data[i++] = c&this.DM;
+ c >>= this.DB;
+}
+if(a.t < this.t) {
+ c += a.s;
+ while(i < this.t) {
+ c += this.data[i];
+ r.data[i++] = c&this.DM;
+ c >>= this.DB;
+ }
+ c += this.s;
+} else {
+ c += this.s;
+ while(i < a.t) {
+ c += a.data[i];
+ r.data[i++] = c&this.DM;
+ c >>= this.DB;
+ }
+ c += a.s;
+}
+r.s = (c<0)?-1:0;
+if(c > 0) r.data[i++] = c;
+else if(c < -1) r.data[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 / 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.data[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.data[this.t++] = 0;
+this.data[w] += n;
+while(this.data[w] >= this.DV) {
+ this.data[w] -= this.DV;
+ if(++w >= this.t) this.data[this.t++] = 0;
+ ++this.data[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.data[--i] = 0;
+var j;
+for(j = r.t-this.t; i < j; ++i) r.data[i+this.t] = this.am(0,a.data[i],r,i,0,this.t);
+for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a.data[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.data[i] = 0;
+for(i = Math.max(n-this.t,0); i < a.t; ++i)
+ r.data[this.t+i-n] = this.am(n-i,a.data[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.data[j])-1;
+while(j >= 0) {
+ if(i >= k1) w = (e.data[j]>>(i-k1))&km;
+ else {
+ w = (e.data[j]&((1<<(i+1))-1))<<(k1-i);
+ if(j > 0) w |= e.data[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.data[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.data[0]%n;
+ else for(var i = this.t-1; i >= 0; --i) r = (d*r+this.data[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];
+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.data[0] <= lowprimes[lowprimes.length-1]) {
+ for(i = 0; i < lowprimes.length; ++i)
+ if(x.data[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);
+var prng = bnGetPrng();
+var a;
+for(var i = 0; i < t; ++i) {
+ // select witness 'a' at random from between 1 and n1
+ do {
+ a = new BigInteger(this.bitLength(), prng);
+ }
+ while(a.compareTo(BigInteger.ONE) <= 0 || a.compareTo(n1) >= 0);
+ 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;
+}
+
+// get pseudo random number generator
+function bnGetPrng() {
+ // create prng with api that matches BigInteger secure random
+ return {
+ // x is an array to fill with bytes
+ nextBytes: function(x) {
+ for(var i = 0; i < x.length; ++i) {
+ x[i] = Math.floor(Math.random() * 0x0100);
+ }
+ }
+ };
+}
+
+//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 interfaces not implemented in jsbn:
+
+//BigInteger(int signum, byte[] magnitude)
+//double doubleValue()
+//float floatValue()
+//int hashCode()
+//long longValue()
+//static BigInteger valueOf(long val)
+
+forge.jsbn = forge.jsbn || {};
+forge.jsbn.BigInteger = BigInteger;
+
+} // end module implementation
+
+/* ########## Begin module wrapper ########## */
+var name = 'jsbn';
+if(typeof define !== 'function') {
+ // NodeJS -> AMD
+ if(typeof module === 'object' && module.exports) {
+ var nodeJS = true;
+ define = function(ids, factory) {
+ factory(require, module);
+ };
+ } else {
+ // <script>
+ if(typeof forge === 'undefined') {
+ forge = {};
+ }
+ return initModule(forge);
+ }
+}
+// AMD
+var deps;
+var defineFunc = function(require, module) {
+ module.exports = function(forge) {
+ var mods = deps.map(function(dep) {
+ return require(dep);
+ }).concat(initModule);
+ // handle circular dependencies
+ forge = forge || {};
+ forge.defined = forge.defined || {};
+ if(forge.defined[name]) {
+ return forge[name];
+ }
+ forge.defined[name] = true;
+ for(var i = 0; i < mods.length; ++i) {
+ mods[i](forge);
+ }
+ return forge[name];
+ };
+};
+var tmpDefine = define;
+define = function(ids, factory) {
+ deps = (typeof ids === 'string') ? factory.slice(2) : ids.slice(2);
+ if(nodeJS) {
+ delete define;
+ return tmpDefine.apply(null, Array.prototype.slice.call(arguments, 0));
+ }
+ define = tmpDefine;
+ return define.apply(null, Array.prototype.slice.call(arguments, 0));
+};
+define(['require', 'module'], function() {
+ defineFunc.apply(null, Array.prototype.slice.call(arguments, 0));
+});
+})();