@@ -0,0 +1,1235 @@
1+var __IDRRT__bigInt = (function() {
2+// Copyright (c) 2005 Tom Wu
3+// All Rights Reserved.
4+// See "LICENSE" for details.
6+// Basic JavaScript BN library - subset useful for RSA encryption.
11+// JavaScript engine analysis
12+var canary = 0xdeadbeefcafe;
13+var j_lm = ((canary&0xffffff)==0xefcafe);
15+// (public) Constructor
16+function BigInteger(a,b,c) {
18+ if("number" == typeof a) this.fromNumber(a,b,c);
19+ else if(b == null && "string" != typeof a) this.fromString(a,256);
20+ else this.fromString(a,b);
23+// return new, unset BigInteger
24+function nbi() { return new BigInteger(null); }
26+// am: Compute w_j += (x*this_i), propagate carries,
27+// c is initial carry, returns final carry.
28+// c < 3*dvalue, x < 2*dvalue, this_i < dvalue
29+// We need to select the fastest one that works in this environment.
31+// am1: use a single mult and divide to get the high bits,
32+// max digit bits should be 26 because
33+// max internal value = 2*dvalue^2-2*dvalue (< 2^53)
34+function am1(i,x,w,j,c,n) {
36+ var v = x*this[i++]+w[j]+c;
37+ c = Math.floor(v/0x4000000);
38+ w[j++] = v&0x3ffffff;
42+// am2 avoids a big mult-and-extract completely.
43+// Max digit bits should be <= 30 because we do bitwise ops
44+// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
45+function am2(i,x,w,j,c,n) {
46+ var xl = x&0x7fff, xh = x>>15;
48+ var l = this[i]&0x7fff;
49+ var h = this[i++]>>15;
51+ l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff);
52+ c = (l>>>30)+(m>>>15)+xh*h+(c>>>30);
53+ w[j++] = l&0x3fffffff;
57+// Alternately, set max digit bits to 28 since some
58+// browsers slow down when dealing with 32-bit numbers.
59+function am3(i,x,w,j,c,n) {
60+ var xl = x&0x3fff, xh = x>>14;
62+ var l = this[i]&0x3fff;
63+ var h = this[i++]>>14;
65+ l = xl*l+((m&0x3fff)<<14)+w[j]+c;
66+ c = (l>>28)+(m>>14)+xh*h;
67+ w[j++] = l&0xfffffff;
71+var in_browser = typeof navigator !== "undefined"
72+if(in_browser && j_lm && (navigator.appName == "Microsoft Internet Explorer")) {
73+ BigInteger.prototype.am = am2;
76+else if(in_browser && j_lm && (navigator.appName != "Netscape")) {
77+ BigInteger.prototype.am = am1;
80+else { // Mozilla/Netscape seems to prefer am3
81+ BigInteger.prototype.am = am3;
85+BigInteger.prototype.DB = dbits;
86+BigInteger.prototype.DM = ((1<<dbits)-1);
87+BigInteger.prototype.DV = (1<<dbits);
90+BigInteger.prototype.FV = Math.pow(2,BI_FP);
91+BigInteger.prototype.F1 = BI_FP-dbits;
92+BigInteger.prototype.F2 = 2*dbits-BI_FP;
95+var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
96+var BI_RC = new Array();
98+rr = "0".charCodeAt(0);
99+for(vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv;
100+rr = "a".charCodeAt(0);
101+for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
102+rr = "A".charCodeAt(0);
103+for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
105+function int2char(n) { return BI_RM.charAt(n); }
106+function intAt(s,i) {
107+ var c = BI_RC[s.charCodeAt(i)];
108+ return (c==null)?-1:c;
111+// (protected) copy this to r
112+function bnpCopyTo(r) {
113+ for(var i = this.t-1; i >= 0; --i) r[i] = this[i];
118+// (protected) set from integer value x, -DV <= x < DV
119+function bnpFromInt(x) {
121+ this.s = (x<0)?-1:0;
122+ if(x > 0) this[0] = x;
123+ else if(x < -1) this[0] = x+this.DV;
127+// return bigint initialized to value
128+function nbv(i) { var r = nbi(); r.fromInt(i); return r; }
130+// (protected) set from string and radix
131+function bnpFromString(s,b) {
134+ else if(b == 8) k = 3;
135+ else if(b == 256) k = 8; // byte array
136+ else if(b == 2) k = 1;
137+ else if(b == 32) k = 5;
138+ else if(b == 4) k = 2;
139+ else { this.fromRadix(s,b); return; }
142+ var i = s.length, mi = false, sh = 0;
144+ var x = (k==8)?s[i]&0xff:intAt(s,i);
146+ if(s.charAt(i) == "-") mi = true;
152+ else if(sh+k > this.DB) {
153+ this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<<sh;
154+ this[this.t++] = (x>>(this.DB-sh));
157+ this[this.t-1] |= x<<sh;
159+ if(sh >= this.DB) sh -= this.DB;
161+ if(k == 8 && (s[0]&0x80) != 0) {
163+ if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)<<sh;
166+ if(mi) BigInteger.ZERO.subTo(this,this);
169+// (protected) clamp off excess high words
170+function bnpClamp() {
171+ var c = this.s&this.DM;
172+ while(this.t > 0 && this[this.t-1] == c) --this.t;
175+// (public) return string representation in given radix
176+function bnToString(b) {
177+ if(this.s < 0) return "-"+this.negate().toString(b);
180+ else if(b == 8) k = 3;
181+ else if(b == 2) k = 1;
182+ else if(b == 32) k = 5;
183+ else if(b == 4) k = 2;
184+ else return this.toRadix(b);
185+ var km = (1<<k)-1, d, m = false, r = "", i = this.t;
186+ var p = this.DB-(i*this.DB)%k;
188+ if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); }
191+ d = (this[i]&((1<<p)-1))<<(k-p);
192+ d |= this[--i]>>(p+=this.DB-k);
195+ d = (this[i]>>(p-=k))&km;
196+ if(p <= 0) { p += this.DB; --i; }
199+ if(m) r += int2char(d);
206+function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; }
209+function bnAbs() { return (this.s<0)?this.negate():this; }
211+// (public) return + if this > a, - if this < a, 0 if equal
212+function bnCompareTo(a) {
214+ if(r != 0) return r;
217+ if(r != 0) return (this.s<0)?-r:r;
218+ while(--i >= 0) if((r=this[i]-a[i]) != 0) return r;
222+// returns bit length of the integer x
225+ if((t=x>>>16) != 0) { x = t; r += 16; }
226+ if((t=x>>8) != 0) { x = t; r += 8; }
227+ if((t=x>>4) != 0) { x = t; r += 4; }
228+ if((t=x>>2) != 0) { x = t; r += 2; }
229+ if((t=x>>1) != 0) { x = t; r += 1; }
233+// (public) return the number of bits in "this"
234+function bnBitLength() {
235+ if(this.t <= 0) return 0;
236+ return this.DB*(this.t-1)+nbits(this[this.t-1]^(this.s&this.DM));
239+// (protected) r = this << n*DB
240+function bnpDLShiftTo(n,r) {
242+ for(i = this.t-1; i >= 0; --i) r[i+n] = this[i];
243+ for(i = n-1; i >= 0; --i) r[i] = 0;
248+// (protected) r = this >> n*DB
249+function bnpDRShiftTo(n,r) {
250+ for(var i = n; i < this.t; ++i) r[i-n] = this[i];
251+ r.t = Math.max(this.t-n,0);
255+// (protected) r = this << n
256+function bnpLShiftTo(n,r) {
258+ var cbs = this.DB-bs;
259+ var bm = (1<<cbs)-1;
260+ var ds = Math.floor(n/this.DB), c = (this.s<<bs)&this.DM, i;
261+ for(i = this.t-1; i >= 0; --i) {
262+ r[i+ds+1] = (this[i]>>cbs)|c;
263+ c = (this[i]&bm)<<bs;
265+ for(i = ds-1; i >= 0; --i) r[i] = 0;
272+// (protected) r = this >> n
273+function bnpRShiftTo(n,r) {
275+ var ds = Math.floor(n/this.DB);
276+ if(ds >= this.t) { r.t = 0; return; }
278+ var cbs = this.DB-bs;
280+ r[0] = this[ds]>>bs;
281+ for(var i = ds+1; i < this.t; ++i) {
282+ r[i-ds-1] |= (this[i]&bm)<<cbs;
283+ r[i-ds] = this[i]>>bs;
285+ if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<<cbs;
290+// (protected) r = this - a
291+function bnpSubTo(a,r) {
292+ var i = 0, c = 0, m = Math.min(a.t,this.t);
317+ if(c < -1) r[i++] = this.DV+c;
318+ else if(c > 0) r[i++] = c;
323+// (protected) r = this * a, r != this,a (HAC 14.12)
324+// "this" should be the larger one if appropriate.
325+function bnpMultiplyTo(a,r) {
326+ var x = this.abs(), y = a.abs();
329+ while(--i >= 0) r[i] = 0;
330+ for(i = 0; i < y.t; ++i) r[i+x.t] = x.am(0,y[i],r,i,0,x.t);
333+ if(this.s != a.s) BigInteger.ZERO.subTo(r,r);
336+// (protected) r = this^2, r != this (HAC 14.16)
337+function bnpSquareTo(r) {
339+ var i = r.t = 2*x.t;
340+ while(--i >= 0) r[i] = 0;
341+ for(i = 0; i < x.t-1; ++i) {
342+ var c = x.am(i,x[i],r,2*i,0,1);
343+ if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1)) >= x.DV) {
348+ if(r.t > 0) r[r.t-1] += x.am(i,x[i],r,2*i,0,1);
353+// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20)
354+// r != q, this != m. q or r may be null.
355+function bnpDivRemTo(m,q,r) {
357+ if(pm.t <= 0) return;
358+ var pt = this.abs();
360+ if(q != null) q.fromInt(0);
361+ if(r != null) this.copyTo(r);
364+ if(r == null) r = nbi();
365+ var y = nbi(), ts = this.s, ms = m.s;
366+ var nsh = this.DB-nbits(pm[pm.t-1]); // normalize modulus
367+ if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); }
368+ else { pm.copyTo(y); pt.copyTo(r); }
372+ var yt = y0*(1<<this.F1)+((ys>1)?y[ys-2]>>this.F2:0);
373+ var d1 = this.FV/yt, d2 = (1<<this.F1)/yt, e = 1<<this.F2;
374+ var i = r.t, j = i-ys, t = (q==null)?nbi():q;
376+ if(r.compareTo(t) >= 0) {
380+ BigInteger.ONE.dlShiftTo(ys,t);
381+ t.subTo(y,y); // "negative" y so we can replace sub with am later
382+ while(y.t < ys) y[y.t++] = 0;
384+ // Estimate quotient digit
385+ var qd = (r[--i]==y0)?this.DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2);
386+ if((r[i]+=y.am(0,qd,r,j,0,ys)) < qd) { // Try it out
389+ while(r[i] < --qd) r.subTo(t,r);
394+ if(ts != ms) BigInteger.ZERO.subTo(q,q);
398+ if(nsh > 0) r.rShiftTo(nsh,r); // Denormalize remainder
399+ if(ts < 0) BigInteger.ZERO.subTo(r,r);
402+// (public) this mod a
405+ this.abs().divRemTo(a,null,r);
406+ if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r);
410+// Modular reduction using "classic" algorithm
411+function Classic(m) { this.m = m; }
412+function cConvert(x) {
413+ if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m);
416+function cRevert(x) { return x; }
417+function cReduce(x) { x.divRemTo(this.m,null,x); }
418+function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
419+function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
421+Classic.prototype.convert = cConvert;
422+Classic.prototype.revert = cRevert;
423+Classic.prototype.reduce = cReduce;
424+Classic.prototype.mulTo = cMulTo;
425+Classic.prototype.sqrTo = cSqrTo;
427+// (protected) return "-1/this % 2^DB"; useful for Mont. reduction
431+// xy(2-xy) = (1+km)(1-km)
432+// x[y(2-xy)] = 1-k^2m^2
433+// x[y(2-xy)] == 1 (mod m^2)
434+// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2
435+// should reduce x and y(2-xy) by m^2 at each step to keep size bounded.
436+// JS multiply "overflows" differently from C/C++, so care is needed here.
437+function bnpInvDigit() {
438+ if(this.t < 1) return 0;
440+ if((x&1) == 0) return 0;
441+ var y = x&3; // y == 1/x mod 2^2
442+ y = (y*(2-(x&0xf)*y))&0xf; // y == 1/x mod 2^4
443+ y = (y*(2-(x&0xff)*y))&0xff; // y == 1/x mod 2^8
444+ y = (y*(2-(((x&0xffff)*y)&0xffff)))&0xffff; // y == 1/x mod 2^16
445+ // last step - calculate inverse mod DV directly;
446+ // assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints
447+ y = (y*(2-x*y%this.DV))%this.DV; // y == 1/x mod 2^dbits
448+ // we really want the negative inverse, and -DV < y < DV
449+ return (y>0)?this.DV-y:-y;
452+// Montgomery reduction
453+function Montgomery(m) {
455+ this.mp = m.invDigit();
456+ this.mpl = this.mp&0x7fff;
457+ this.mph = this.mp>>15;
458+ this.um = (1<<(m.DB-15))-1;
463+function montConvert(x) {
465+ x.abs().dlShiftTo(this.m.t,r);
466+ r.divRemTo(this.m,null,r);
467+ if(x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r,r);
472+function montRevert(x) {
479+// x = x/R mod m (HAC 14.32)
480+function montReduce(x) {
481+ while(x.t <= this.mt2) // pad x so am has enough room later
483+ for(var i = 0; i < this.m.t; ++i) {
484+ // faster way of calculating u0 = x[i]*mp mod DV
485+ var j = x[i]&0x7fff;
486+ var u0 = (j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x.DM;
487+ // use am to combine the multiply-shift-add into one call
489+ x[j] += this.m.am(0,u0,x,i,0,this.m.t);
491+ while(x[j] >= x.DV) { x[j] -= x.DV; x[++j]++; }
494+ x.drShiftTo(this.m.t,x);
495+ if(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
498+// r = "x^2/R mod m"; x != r
499+function montSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
501+// r = "xy/R mod m"; x,y != r
502+function montMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
504+Montgomery.prototype.convert = montConvert;
505+Montgomery.prototype.revert = montRevert;
506+Montgomery.prototype.reduce = montReduce;
507+Montgomery.prototype.mulTo = montMulTo;
508+Montgomery.prototype.sqrTo = montSqrTo;
510+// (protected) true iff this is even
511+function bnpIsEven() { return ((this.t>0)?(this[0]&1):this.s) == 0; }
513+// (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79)
514+function bnpExp(e,z) {
515+ if(e > 0xffffffff || e < 1) return BigInteger.ONE;
516+ var r = nbi(), r2 = nbi(), g = z.convert(this), i = nbits(e)-1;
520+ if((e&(1<<i)) > 0) z.mulTo(r2,g,r);
521+ else { var t = r; r = r2; r2 = t; }
526+// (public) this^e % m, 0 <= e < 2^32
527+function bnModPowInt(e,m) {
529+ if(e < 256 || m.isEven()) z = new Classic(m); else z = new Montgomery(m);
530+ return this.exp(e,z);
534+BigInteger.prototype.copyTo = bnpCopyTo;
535+BigInteger.prototype.fromInt = bnpFromInt;
536+BigInteger.prototype.fromString = bnpFromString;
537+BigInteger.prototype.clamp = bnpClamp;
538+BigInteger.prototype.dlShiftTo = bnpDLShiftTo;
539+BigInteger.prototype.drShiftTo = bnpDRShiftTo;
540+BigInteger.prototype.lShiftTo = bnpLShiftTo;
541+BigInteger.prototype.rShiftTo = bnpRShiftTo;
542+BigInteger.prototype.subTo = bnpSubTo;
543+BigInteger.prototype.multiplyTo = bnpMultiplyTo;
544+BigInteger.prototype.squareTo = bnpSquareTo;
545+BigInteger.prototype.divRemTo = bnpDivRemTo;
546+BigInteger.prototype.invDigit = bnpInvDigit;
547+BigInteger.prototype.isEven = bnpIsEven;
548+BigInteger.prototype.exp = bnpExp;
551+BigInteger.prototype.toString = bnToString;
552+BigInteger.prototype.negate = bnNegate;
553+BigInteger.prototype.abs = bnAbs;
554+BigInteger.prototype.compareTo = bnCompareTo;
555+BigInteger.prototype.bitLength = bnBitLength;
556+BigInteger.prototype.mod = bnMod;
557+BigInteger.prototype.modPowInt = bnModPowInt;
560+BigInteger.ZERO = nbv(0);
561+BigInteger.ONE = nbv(1);
563+// Copyright (c) 2005-2009 Tom Wu
564+// All Rights Reserved.
565+// See "LICENSE" for details.
567+// Extended JavaScript BN functions, required for RSA private ops.
569+// Version 1.1: new BigInteger("0", 10) returns "proper" zero
570+// Version 1.2: square() API, isProbablePrime fix
573+function bnClone() { var r = nbi(); this.copyTo(r); return r; }
575+// (public) return value as integer
576+function bnIntValue() {
578+ if(this.t == 1) return this[0]-this.DV;
579+ else if(this.t == 0) return -1;
581+ else if(this.t == 1) return this[0];
582+ else if(this.t == 0) return 0;
583+ // assumes 16 < DB < 32
584+ return ((this[1]&((1<<(32-this.DB))-1))<<this.DB)|this[0];
587+// (public) return value as byte
588+function bnByteValue() { return (this.t==0)?this.s:(this[0]<<24)>>24; }
590+// (public) return value as short (assumes DB>=16)
591+function bnShortValue() { return (this.t==0)?this.s:(this[0]<<16)>>16; }
593+// (protected) return x s.t. r^x < DV
594+function bnpChunkSize(r) { return Math.floor(Math.LN2*this.DB/Math.log(r)); }
596+// (public) 0 if this == 0, 1 if this > 0
597+function bnSigNum() {
598+ if(this.s < 0) return -1;
599+ else if(this.t <= 0 || (this.t == 1 && this[0] <= 0)) return 0;
603+// (protected) convert to radix string
604+function bnpToRadix(b) {
605+ if(b == null) b = 10;
606+ if(this.signum() == 0 || b < 2 || b > 36) return "0";
607+ var cs = this.chunkSize(b);
608+ var a = Math.pow(b,cs);
609+ var d = nbv(a), y = nbi(), z = nbi(), r = "";
610+ this.divRemTo(d,y,z);
611+ while(y.signum() > 0) {
612+ r = (a+z.intValue()).toString(b).substr(1) + r;
615+ return z.intValue().toString(b) + r;
618+// (protected) convert from radix string
619+function bnpFromRadix(s,b) {
621+ if(b == null) b = 10;
622+ var cs = this.chunkSize(b);
623+ var d = Math.pow(b,cs), mi = false, j = 0, w = 0;
624+ for(var i = 0; i < s.length; ++i) {
627+ if(s.charAt(i) == "-" && this.signum() == 0) mi = true;
633+ this.dAddOffset(w,0);
639+ this.dMultiply(Math.pow(b,j));
640+ this.dAddOffset(w,0);
642+ if(mi) BigInteger.ZERO.subTo(this,this);
645+// (protected) alternate constructor
646+function bnpFromNumber(a,b,c) {
647+ if("number" == typeof b) {
648+ // new BigInteger(int,int,RNG)
649+ if(a < 2) this.fromInt(1);
651+ this.fromNumber(a,c);
652+ if(!this.testBit(a-1)) // force MSB set
653+ this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this);
654+ if(this.isEven()) this.dAddOffset(1,0); // force odd
655+ while(!this.isProbablePrime(b)) {
656+ this.dAddOffset(2,0);
657+ if(this.bitLength() > a) this.subTo(BigInteger.ONE.shiftLeft(a-1),this);
662+ // new BigInteger(int,RNG)
663+ var x = new Array(), t = a&7;
664+ x.length = (a>>3)+1;
666+ if(t > 0) x[0] &= ((1<<t)-1); else x[0] = 0;
667+ this.fromString(x,256);
671+// (public) convert to bigendian byte array
672+function bnToByteArray() {
673+ var i = this.t, r = new Array();
675+ var p = this.DB-(i*this.DB)%8, d, k = 0;
677+ if(p < this.DB && (d = this[i]>>p) != (this.s&this.DM)>>p)
678+ r[k++] = d|(this.s<<(this.DB-p));
681+ d = (this[i]&((1<<p)-1))<<(8-p);
682+ d |= this[--i]>>(p+=this.DB-8);
685+ d = (this[i]>>(p-=8))&0xff;
686+ if(p <= 0) { p += this.DB; --i; }
688+ if((d&0x80) != 0) d |= -256;
689+ if(k == 0 && (this.s&0x80) != (d&0x80)) ++k;
690+ if(k > 0 || d != this.s) r[k++] = d;
696+function bnEquals(a) { return(this.compareTo(a)==0); }
697+function bnMin(a) { return(this.compareTo(a)<0)?this:a; }
698+function bnMax(a) { return(this.compareTo(a)>0)?this:a; }
700+// (protected) r = this op a (bitwise)
701+function bnpBitwiseTo(a,op,r) {
702+ var i, f, m = Math.min(a.t,this.t);
703+ for(i = 0; i < m; ++i) r[i] = op(this[i],a[i]);
706+ for(i = m; i < this.t; ++i) r[i] = op(this[i],f);
711+ for(i = m; i < a.t; ++i) r[i] = op(f,a[i]);
714+ r.s = op(this.s,a.s);
719+function op_and(x,y) { return x&y; }
720+function bnAnd(a) { var r = nbi(); this.bitwiseTo(a,op_and,r); return r; }
723+function op_or(x,y) { return x|y; }
724+function bnOr(a) { var r = nbi(); this.bitwiseTo(a,op_or,r); return r; }
727+function op_xor(x,y) { return x^y; }
728+function bnXor(a) { var r = nbi(); this.bitwiseTo(a,op_xor,r); return r; }
730+// (public) this & ~a
731+function op_andnot(x,y) { return x&~y; }
732+function bnAndNot(a) { var r = nbi(); this.bitwiseTo(a,op_andnot,r); return r; }
737+ for(var i = 0; i < this.t; ++i) r[i] = this.DM&~this[i];
743+// (public) this << n
744+function bnShiftLeft(n) {
746+ if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r);
750+// (public) this >> n
751+function bnShiftRight(n) {
753+ if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r);
757+// return index of lowest 1-bit in x, x < 2^31
759+ if(x == 0) return -1;
761+ if((x&0xffff) == 0) { x >>= 16; r += 16; }
762+ if((x&0xff) == 0) { x >>= 8; r += 8; }
763+ if((x&0xf) == 0) { x >>= 4; r += 4; }
764+ if((x&3) == 0) { x >>= 2; r += 2; }
769+// (public) returns index of lowest 1-bit (or -1 if none)
770+function bnGetLowestSetBit() {
771+ for(var i = 0; i < this.t; ++i)
772+ if(this[i] != 0) return i*this.DB+lbit(this[i]);
773+ if(this.s < 0) return this.t*this.DB;
777+// return number of 1 bits in x
780+ while(x != 0) { x &= x-1; ++r; }
784+// (public) return number of set bits
785+function bnBitCount() {
786+ var r = 0, x = this.s&this.DM;
787+ for(var i = 0; i < this.t; ++i) r += cbit(this[i]^x);
791+// (public) true iff nth bit is set
792+function bnTestBit(n) {
793+ var j = Math.floor(n/this.DB);
794+ if(j >= this.t) return(this.s!=0);
795+ return((this[j]&(1<<(n%this.DB)))!=0);
798+// (protected) this op (1<<n)
799+function bnpChangeBit(n,op) {
800+ var r = BigInteger.ONE.shiftLeft(n);
801+ this.bitwiseTo(r,op,r);
805+// (public) this | (1<<n)
806+function bnSetBit(n) { return this.changeBit(n,op_or); }
808+// (public) this & ~(1<<n)
809+function bnClearBit(n) { return this.changeBit(n,op_andnot); }
811+// (public) this ^ (1<<n)
812+function bnFlipBit(n) { return this.changeBit(n,op_xor); }
814+// (protected) r = this + a
815+function bnpAddTo(a,r) {
816+ var i = 0, c = 0, m = Math.min(a.t,this.t);
841+ if(c > 0) r[i++] = c;
842+ else if(c < -1) r[i++] = this.DV+c;
848+function bnAdd(a) { var r = nbi(); this.addTo(a,r); return r; }
851+function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; }
854+function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; }
857+function bnSquare() { var r = nbi(); this.squareTo(r); return r; }
860+function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; }
863+function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; }
865+// (public) [this/a,this%a]
866+function bnDivideAndRemainder(a) {
867+ var q = nbi(), r = nbi();
868+ this.divRemTo(a,q,r);
869+ return new Array(q,r);
872+// (protected) this *= n, this >= 0, 1 < n < DV
873+function bnpDMultiply(n) {
874+ this[this.t] = this.am(0,n-1,this,0,0,this.t);
879+// (protected) this += n << w words, this >= 0
880+function bnpDAddOffset(n,w) {
882+ while(this.t <= w) this[this.t++] = 0;
884+ while(this[w] >= this.DV) {
886+ if(++w >= this.t) this[this.t++] = 0;
892+function NullExp() {}
893+function nNop(x) { return x; }
894+function nMulTo(x,y,r) { x.multiplyTo(y,r); }
895+function nSqrTo(x,r) { x.squareTo(r); }
897+NullExp.prototype.convert = nNop;
898+NullExp.prototype.revert = nNop;
899+NullExp.prototype.mulTo = nMulTo;
900+NullExp.prototype.sqrTo = nSqrTo;
903+function bnPow(e) { return this.exp(e,new NullExp()); }
905+// (protected) r = lower n words of "this * a", a.t <= n
906+// "this" should be the larger one if appropriate.
907+function bnpMultiplyLowerTo(a,n,r) {
908+ var i = Math.min(this.t+a.t,n);
909+ r.s = 0; // assumes a,this >= 0
911+ while(i > 0) r[--i] = 0;
913+ for(j = r.t-this.t; i < j; ++i) r[i+this.t] = this.am(0,a[i],r,i,0,this.t);
914+ for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a[i],r,i,0,n-i);
918+// (protected) r = "this * a" without lower n words, n > 0
919+// "this" should be the larger one if appropriate.
920+function bnpMultiplyUpperTo(a,n,r) {
922+ var i = r.t = this.t+a.t-n;
923+ r.s = 0; // assumes a,this >= 0
924+ while(--i >= 0) r[i] = 0;
925+ for(i = Math.max(n-this.t,0); i < a.t; ++i)
926+ r[this.t+i-n] = this.am(n-i,a[i],r,0,0,this.t+i-n);
931+// Barrett modular reduction
932+function Barrett(m) {
936+ BigInteger.ONE.dlShiftTo(2*m.t,this.r2);
937+ this.mu = this.r2.divide(m);
941+function barrettConvert(x) {
942+ if(x.s < 0 || x.t > 2*this.m.t) return x.mod(this.m);
943+ else if(x.compareTo(this.m) < 0) return x;
944+ else { var r = nbi(); x.copyTo(r); this.reduce(r); return r; }
947+function barrettRevert(x) { return x; }
949+// x = x mod m (HAC 14.42)
950+function barrettReduce(x) {
951+ x.drShiftTo(this.m.t-1,this.r2);
952+ if(x.t > this.m.t+1) { x.t = this.m.t+1; x.clamp(); }
953+ this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3);
954+ this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);
955+ while(x.compareTo(this.r2) < 0) x.dAddOffset(1,this.m.t+1);
957+ while(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
960+// r = x^2 mod m; x != r
961+function barrettSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
963+// r = x*y mod m; x,y != r
964+function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
966+Barrett.prototype.convert = barrettConvert;
967+Barrett.prototype.revert = barrettRevert;
968+Barrett.prototype.reduce = barrettReduce;
969+Barrett.prototype.mulTo = barrettMulTo;
970+Barrett.prototype.sqrTo = barrettSqrTo;
972+// (public) this^e % m (HAC 14.85)
973+function bnModPow(e,m) {
974+ var i = e.bitLength(), k, r = nbv(1), z;
975+ if(i <= 0) return r;
976+ else if(i < 18) k = 1;
977+ else if(i < 48) k = 3;
978+ else if(i < 144) k = 4;
979+ else if(i < 768) k = 5;
986+ z = new Montgomery(m);
989+ var g = new Array(), n = 3, k1 = k-1, km = (1<<k)-1;
990+ g[1] = z.convert(this);
996+ z.mulTo(g2,g[n-2],g[n]);
1001+ var j = e.t-1, w, is1 = true, r2 = nbi(), t;
1004+ if(i >= k1) w = (e[j]>>(i-k1))&km;
1006+ w = (e[j]&((1<<(i+1))-1))<<(k1-i);
1007+ if(j > 0) w |= e[j-1]>>(this.DB+i-k1);
1011+ while((w&1) == 0) { w >>= 1; --n; }
1012+ if((i -= n) < 0) { i += this.DB; --j; }
1013+ if(is1) { // ret == 1, don't bother squaring or multiplying it
1018+ while(n > 1) { z.sqrTo(r,r2); z.sqrTo(r2,r); n -= 2; }
1019+ if(n > 0) z.sqrTo(r,r2); else { t = r; r = r2; r2 = t; }
1020+ z.mulTo(r2,g[w],r);
1023+ while(j >= 0 && (e[j]&(1<<i)) == 0) {
1024+ z.sqrTo(r,r2); t = r; r = r2; r2 = t;
1025+ if(--i < 0) { i = this.DB-1; --j; }
1028+ return z.revert(r);
1031+// (public) gcd(this,a) (HAC 14.54)
1033+ var x = (this.s<0)?this.negate():this.clone();
1034+ var y = (a.s<0)?a.negate():a.clone();
1035+ if(x.compareTo(y) < 0) { var t = x; x = y; y = t; }
1036+ var i = x.getLowestSetBit(), g = y.getLowestSetBit();
1037+ if(g < 0) return x;
1043+ while(x.signum() > 0) {
1044+ if((i = x.getLowestSetBit()) > 0) x.rShiftTo(i,x);
1045+ if((i = y.getLowestSetBit()) > 0) y.rShiftTo(i,y);
1046+ if(x.compareTo(y) >= 0) {
1055+ if(g > 0) y.lShiftTo(g,y);
1059+// (protected) this % n, n < 2^26
1060+function bnpModInt(n) {
1061+ if(n <= 0) return 0;
1062+ var d = this.DV%n, r = (this.s<0)?n-1:0;
1064+ if(d == 0) r = this[0]%n;
1065+ else for(var i = this.t-1; i >= 0; --i) r = (d*r+this[i])%n;
1069+// (public) 1/this % m (HAC 14.61)
1070+function bnModInverse(m) {
1071+ var ac = m.isEven();
1072+ if((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO;
1073+ var u = m.clone(), v = this.clone();
1074+ var a = nbv(1), b = nbv(0), c = nbv(0), d = nbv(1);
1075+ while(u.signum() != 0) {
1076+ while(u.isEven()) {
1079+ if(!a.isEven() || !b.isEven()) { a.addTo(this,a); b.subTo(m,b); }
1082+ else if(!b.isEven()) b.subTo(m,b);
1085+ while(v.isEven()) {
1088+ if(!c.isEven() || !d.isEven()) { c.addTo(this,c); d.subTo(m,d); }
1091+ else if(!d.isEven()) d.subTo(m,d);
1094+ if(u.compareTo(v) >= 0) {
1096+ if(ac) a.subTo(c,a);
1101+ if(ac) c.subTo(a,c);
1105+ if(v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO;
1106+ if(d.compareTo(m) >= 0) return d.subtract(m);
1107+ if(d.signum() < 0) d.addTo(m,d); else return d;
1108+ if(d.signum() < 0) return d.add(m); else return d;
1111+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];
1112+var lplim = (1<<26)/lowprimes[lowprimes.length-1];
1114+// (public) test primality with certainty >= 1-.5^t
1115+function bnIsProbablePrime(t) {
1116+ var i, x = this.abs();
1117+ if(x.t == 1 && x[0] <= lowprimes[lowprimes.length-1]) {
1118+ for(i = 0; i < lowprimes.length; ++i)
1119+ if(x[0] == lowprimes[i]) return true;
1122+ if(x.isEven()) return false;
1124+ while(i < lowprimes.length) {
1125+ var m = lowprimes[i], j = i+1;
1126+ while(j < lowprimes.length && m < lplim) m *= lowprimes[j++];
1128+ while(i < j) if(m%lowprimes[i++] == 0) return false;
1130+ return x.millerRabin(t);
1133+// (protected) true if probably prime (HAC 4.24, Miller-Rabin)
1134+function bnpMillerRabin(t) {
1135+ var n1 = this.subtract(BigInteger.ONE);
1136+ var k = n1.getLowestSetBit();
1137+ if(k <= 0) return false;
1138+ var r = n1.shiftRight(k);
1140+ if(t > lowprimes.length) t = lowprimes.length;
1142+ for(var i = 0; i < t; ++i) {
1143+ //Pick bases at random, instead of starting at 2
1144+ a.fromInt(lowprimes[Math.floor(Math.random()*lowprimes.length)]);
1145+ var y = a.modPow(r,this);
1146+ if(y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) {
1148+ while(j++ < k && y.compareTo(n1) != 0) {
1149+ y = y.modPowInt(2,this);
1150+ if(y.compareTo(BigInteger.ONE) == 0) return false;
1152+ if(y.compareTo(n1) != 0) return false;
1159+BigInteger.prototype.chunkSize = bnpChunkSize;
1160+BigInteger.prototype.toRadix = bnpToRadix;
1161+BigInteger.prototype.fromRadix = bnpFromRadix;
1162+BigInteger.prototype.fromNumber = bnpFromNumber;
1163+BigInteger.prototype.bitwiseTo = bnpBitwiseTo;
1164+BigInteger.prototype.changeBit = bnpChangeBit;
1165+BigInteger.prototype.addTo = bnpAddTo;
1166+BigInteger.prototype.dMultiply = bnpDMultiply;
1167+BigInteger.prototype.dAddOffset = bnpDAddOffset;
1168+BigInteger.prototype.multiplyLowerTo = bnpMultiplyLowerTo;
1169+BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo;
1170+BigInteger.prototype.modInt = bnpModInt;
1171+BigInteger.prototype.millerRabin = bnpMillerRabin;
1174+BigInteger.prototype.clone = bnClone;
1175+BigInteger.prototype.intValue = bnIntValue;
1176+BigInteger.prototype.byteValue = bnByteValue;
1177+BigInteger.prototype.shortValue = bnShortValue;
1178+BigInteger.prototype.signum = bnSigNum;
1179+BigInteger.prototype.toByteArray = bnToByteArray;
1180+BigInteger.prototype.equals = bnEquals;
1181+BigInteger.prototype.min = bnMin;
1182+BigInteger.prototype.max = bnMax;
1183+BigInteger.prototype.and = bnAnd;
1184+BigInteger.prototype.or = bnOr;
1185+BigInteger.prototype.xor = bnXor;
1186+BigInteger.prototype.andNot = bnAndNot;
1187+BigInteger.prototype.not = bnNot;
1188+BigInteger.prototype.shiftLeft = bnShiftLeft;
1189+BigInteger.prototype.shiftRight = bnShiftRight;
1190+BigInteger.prototype.getLowestSetBit = bnGetLowestSetBit;
1191+BigInteger.prototype.bitCount = bnBitCount;
1192+BigInteger.prototype.testBit = bnTestBit;
1193+BigInteger.prototype.setBit = bnSetBit;
1194+BigInteger.prototype.clearBit = bnClearBit;
1195+BigInteger.prototype.flipBit = bnFlipBit;
1196+BigInteger.prototype.add = bnAdd;
1197+BigInteger.prototype.subtract = bnSubtract;
1198+BigInteger.prototype.multiply = bnMultiply;
1199+BigInteger.prototype.divide = bnDivide;
1200+BigInteger.prototype.remainder = bnRemainder;
1201+BigInteger.prototype.divideAndRemainder = bnDivideAndRemainder;
1202+BigInteger.prototype.modPow = bnModPow;
1203+BigInteger.prototype.modInverse = bnModInverse;
1204+BigInteger.prototype.pow = bnPow;
1205+BigInteger.prototype.gcd = bnGCD;
1206+BigInteger.prototype.isProbablePrime = bnIsProbablePrime;
1208+// JSBN-specific extension
1209+BigInteger.prototype.square = bnSquare;
1211+// BigInteger interfaces not implemented in jsbn:
1213+// BigInteger(int signum, byte[] magnitude)
1214+// double doubleValue()
1215+// float floatValue()
1219+BigInteger.prototype.lesser = function(rhs) {
1220+ return this.compareTo(rhs) < 0
1222+BigInteger.prototype.lesserOrEquals = function(rhs) {
1223+ return this.compareTo(rhs) <= 0
1225+BigInteger.prototype.greater = function(rhs) {
1226+ return this.compareTo(rhs) > 0
1228+BigInteger.prototype.greaterOrEquals = function(rhs) {
1229+ return this.compareTo(rhs) >= 0
1232+return function(val) {
1233+ return new BigInteger(val);