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BigInteger.js
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/*
Copyright (c) 2004-2009, The Dojo Foundation All Rights Reserved.
Available via Academic Free License >= 2.1 OR the modified BSD license.
see: http://dojotoolkit.org/license for details
*/
if(!dojo._hasResource["dojox.math.BigInteger"]){
dojo._hasResource["dojox.math.BigInteger"]=true;
dojo.provide("dojox.math.BigInteger");
dojo.experimental("dojox.math.BigInteger");
(function(){
var _1;
var _2=244837814094590;
var _3=((_2&16777215)==15715070);
function _4(a,b,c){
if(a!=null){
if("number"==typeof a){
this._fromNumber(a,b,c);
}else{
if(!b&&"string"!=typeof a){
this._fromString(a,256);
}else{
this._fromString(a,b);
}
}
}
};
function _5(){
return new _4(null);
};
function _6(i,x,w,j,c,n){
while(--n>=0){
var v=x*this[i++]+w[j]+c;
c=Math.floor(v/67108864);
w[j++]=v&67108863;
}
return c;
};
function _7(i,x,w,j,c,n){
var xl=x&32767,xh=x>>15;
while(--n>=0){
var l=this[i]&32767;
var h=this[i++]>>15;
var m=xh*l+h*xl;
l=xl*l+((m&32767)<<15)+w[j]+(c&1073741823);
c=(l>>>30)+(m>>>15)+xh*h+(c>>>30);
w[j++]=l&1073741823;
}
return c;
};
function _8(i,x,w,j,c,n){
var xl=x&16383,xh=x>>14;
while(--n>=0){
var l=this[i]&16383;
var h=this[i++]>>14;
var m=xh*l+h*xl;
l=xl*l+((m&16383)<<14)+w[j]+c;
c=(l>>28)+(m>>14)+xh*h;
w[j++]=l&268435455;
}
return c;
};
if(_3&&(navigator.appName=="Microsoft Internet Explorer")){
_4.prototype.am=_7;
_1=30;
}else{
if(_3&&(navigator.appName!="Netscape")){
_4.prototype.am=_6;
_1=26;
}else{
_4.prototype.am=_8;
_1=28;
}
}
var _9=52;
var _a="0123456789abcdefghijklmnopqrstuvwxyz";
var _b=[];
var rr,vv;
rr="0".charCodeAt(0);
for(vv=0;vv<=9;++vv){
_b[rr++]=vv;
}
rr="a".charCodeAt(0);
for(vv=10;vv<36;++vv){
_b[rr++]=vv;
}
rr="A".charCodeAt(0);
for(vv=10;vv<36;++vv){
_b[rr++]=vv;
}
function _c(n){
return _a.charAt(n);
};
function _d(s,i){
var c=_b[s.charCodeAt(i)];
return (c==null)?-1:c;
};
function _e(r){
for(var i=this.t-1;i>=0;--i){
r[i]=this[i];
}
r.t=this.t;
r.s=this.s;
};
function _f(x){
this.t=1;
this.s=(x<0)?-1:0;
if(x>0){
this[0]=x;
}else{
if(x<-1){
this[0]=x+_DV;
}else{
this.t=0;
}
}
};
function nbv(i){
var r=_5();
r._fromInt(i);
return r;
};
function _10(s,b){
var k;
if(b==16){
k=4;
}else{
if(b==8){
k=3;
}else{
if(b==256){
k=8;
}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]&255:_d(s,i);
if(x<0){
if(s.charAt(i)=="-"){
mi=true;
}
continue;
}
mi=false;
if(sh==0){
this[this.t++]=x;
}else{
if(sh+k>this._DB){
this[this.t-1]|=(x&((1<<(this._DB-sh))-1))<<sh;
this[this.t++]=(x>>(this._DB-sh));
}else{
this[this.t-1]|=x<<sh;
}
}
sh+=k;
if(sh>=this._DB){
sh-=this._DB;
}
}
if(k==8&&(s[0]&128)!=0){
this.s=-1;
if(sh>0){
this[this.t-1]|=((1<<(this._DB-sh))-1)<<sh;
}
}
this._clamp();
if(mi){
_4.ZERO._subTo(this,this);
}
};
function _11(){
var c=this.s&this._DM;
while(this.t>0&&this[this.t-1]==c){
--this.t;
}
};
function _12(b){
if(this.s<0){
return "-"+this.negate().toString(b);
}
var k;
if(b==16){
k=4;
}else{
if(b==8){
k=3;
}else{
if(b==2){
k=1;
}else{
if(b==32){
k=5;
}else{
if(b==4){
k=2;
}else{
return this._toRadix(b);
}
}
}
}
}
var km=(1<<k)-1,d,m=false,r="",i=this.t;
var p=this._DB-(i*this._DB)%k;
if(i-->0){
if(p<this._DB&&(d=this[i]>>p)>0){
m=true;
r=_c(d);
}
while(i>=0){
if(p<k){
d=(this[i]&((1<<p)-1))<<(k-p);
d|=this[--i]>>(p+=this._DB-k);
}else{
d=(this[i]>>(p-=k))&km;
if(p<=0){
p+=this._DB;
--i;
}
}
if(d>0){
m=true;
}
if(m){
r+=_c(d);
}
}
}
return m?r:"0";
};
function _13(){
var r=_5();
_4.ZERO._subTo(this,r);
return r;
};
function _14(){
return (this.s<0)?this.negate():this;
};
function _15(a){
var r=this.s-a.s;
if(r){
return r;
}
var i=this.t;
r=i-a.t;
if(r){
return r;
}
while(--i>=0){
if((r=this[i]-a[i])){
return r;
}
}
return 0;
};
function _16(x){
var r=1,t;
if((t=x>>>16)){
x=t;
r+=16;
}
if((t=x>>8)){
x=t;
r+=8;
}
if((t=x>>4)){
x=t;
r+=4;
}
if((t=x>>2)){
x=t;
r+=2;
}
if((t=x>>1)){
x=t;
r+=1;
}
return r;
};
function _17(){
if(this.t<=0){
return 0;
}
return this._DB*(this.t-1)+_16(this[this.t-1]^(this.s&this._DM));
};
function _18(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;
};
function _19(n,r){
for(var i=n;i<this.t;++i){
r[i-n]=this[i];
}
r.t=Math.max(this.t-n,0);
r.s=this.s;
};
function _1a(n,r){
var bs=n%this._DB;
var cbs=this._DB-bs;
var bm=(1<<cbs)-1;
var ds=Math.floor(n/this._DB),c=(this.s<<bs)&this._DM,i;
for(i=this.t-1;i>=0;--i){
r[i+ds+1]=(this[i]>>cbs)|c;
c=(this[i]&bm)<<bs;
}
for(i=ds-1;i>=0;--i){
r[i]=0;
}
r[ds]=c;
r.t=this.t+ds+1;
r.s=this.s;
r._clamp();
};
function _1b(n,r){
r.s=this.s;
var ds=Math.floor(n/this._DB);
if(ds>=this.t){
r.t=0;
return;
}
var bs=n%this._DB;
var cbs=this._DB-bs;
var bm=(1<<bs)-1;
r[0]=this[ds]>>bs;
for(var i=ds+1;i<this.t;++i){
r[i-ds-1]|=(this[i]&bm)<<cbs;
r[i-ds]=this[i]>>bs;
}
if(bs>0){
r[this.t-ds-1]|=(this.s&bm)<<cbs;
}
r.t=this.t-ds;
r._clamp();
};
function _1c(a,r){
var i=0,c=0,m=Math.min(a.t,this.t);
while(i<m){
c+=this[i]-a[i];
r[i++]=c&this._DM;
c>>=this._DB;
}
if(a.t<this.t){
c-=a.s;
while(i<this.t){
c+=this[i];
r[i++]=c&this._DM;
c>>=this._DB;
}
c+=this.s;
}else{
c+=this.s;
while(i<a.t){
c-=a[i];
r[i++]=c&this._DM;
c>>=this._DB;
}
c-=a.s;
}
r.s=(c<0)?-1:0;
if(c<-1){
r[i++]=this._DV+c;
}else{
if(c>0){
r[i++]=c;
}
}
r.t=i;
r._clamp();
};
function _1d(a,r){
var x=this.abs(),y=a.abs();
var i=x.t;
r.t=i+y.t;
while(--i>=0){
r[i]=0;
}
for(i=0;i<y.t;++i){
r[i+x.t]=x.am(0,y[i],r,i,0,x.t);
}
r.s=0;
r._clamp();
if(this.s!=a.s){
_4.ZERO._subTo(r,r);
}
};
function _1e(r){
var x=this.abs();
var i=r.t=2*x.t;
while(--i>=0){
r[i]=0;
}
for(i=0;i<x.t-1;++i){
var c=x.am(i,x[i],r,2*i,0,1);
if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1))>=x._DV){
r[i+x.t]-=x._DV;
r[i+x.t+1]=1;
}
}
if(r.t>0){
r[r.t-1]+=x.am(i,x[i],r,2*i,0,1);
}
r.s=0;
r._clamp();
};
function _1f(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=_5();
}
var y=_5(),ts=this.s,ms=m.s;
var nsh=this._DB-_16(pm[pm.t-1]);
if(nsh>0){
pm._lShiftTo(nsh,y);
pt._lShiftTo(nsh,r);
}else{
pm._copyTo(y);
pt._copyTo(r);
}
var ys=y.t;
var y0=y[ys-1];
if(y0==0){
return;
}
var yt=y0*(1<<this._F1)+((ys>1)?y[ys-2]>>this._F2:0);
var d1=this._FV/yt,d2=(1<<this._F1)/yt,e=1<<this._F2;
var i=r.t,j=i-ys,t=(q==null)?_5():q;
y._dlShiftTo(j,t);
if(r.compareTo(t)>=0){
r[r.t++]=1;
r._subTo(t,r);
}
_4.ONE._dlShiftTo(ys,t);
t._subTo(y,y);
while(y.t<ys){
y[y.t++]=0;
}
while(--j>=0){
var qd=(r[--i]==y0)?this._DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2);
if((r[i]+=y.am(0,qd,r,j,0,ys))<qd){
y._dlShiftTo(j,t);
r._subTo(t,r);
while(r[i]<--qd){
r._subTo(t,r);
}
}
}
if(q!=null){
r._drShiftTo(ys,q);
if(ts!=ms){
_4.ZERO._subTo(q,q);
}
}
r.t=ys;
r._clamp();
if(nsh>0){
r._rShiftTo(nsh,r);
}
if(ts<0){
_4.ZERO._subTo(r,r);
}
};
function _20(a){
var r=_5();
this.abs()._divRemTo(a,null,r);
if(this.s<0&&r.compareTo(_4.ZERO)>0){
a._subTo(r,r);
}
return r;
};
function _21(m){
this.m=m;
};
function _22(x){
if(x.s<0||x.compareTo(this.m)>=0){
return x.mod(this.m);
}else{
return x;
}
};
function _23(x){
return x;
};
function _24(x){
x._divRemTo(this.m,null,x);
};
function _25(x,y,r){
x._multiplyTo(y,r);
this.reduce(r);
};
function _26(x,r){
x._squareTo(r);
this.reduce(r);
};
dojo.extend(_21,{convert:_22,revert:_23,reduce:_24,mulTo:_25,sqrTo:_26});
function _27(){
if(this.t<1){
return 0;
}
var x=this[0];
if((x&1)==0){
return 0;
}
var y=x&3;
y=(y*(2-(x&15)*y))&15;
y=(y*(2-(x&255)*y))&255;
y=(y*(2-(((x&65535)*y)&65535)))&65535;
y=(y*(2-x*y%this._DV))%this._DV;
return (y>0)?this._DV-y:-y;
};
function _28(m){
this.m=m;
this.mp=m._invDigit();
this.mpl=this.mp&32767;
this.mph=this.mp>>15;
this.um=(1<<(m._DB-15))-1;
this.mt2=2*m.t;
};
function _29(x){
var r=_5();
x.abs()._dlShiftTo(this.m.t,r);
r._divRemTo(this.m,null,r);
if(x.s<0&&r.compareTo(_4.ZERO)>0){
this.m._subTo(r,r);
}
return r;
};
function _2a(x){
var r=_5();
x._copyTo(r);
this.reduce(r);
return r;
};
function _2b(x){
while(x.t<=this.mt2){
x[x.t++]=0;
}
for(var i=0;i<this.m.t;++i){
var j=x[i]&32767;
var u0=(j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x._DM;
j=i+this.m.t;
x[j]+=this.m.am(0,u0,x,i,0,this.m.t);
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);
}
};
function _2c(x,r){
x._squareTo(r);
this.reduce(r);
};
function _2d(x,y,r){
x._multiplyTo(y,r);
this.reduce(r);
};
dojo.extend(_28,{convert:_29,revert:_2a,reduce:_2b,mulTo:_2d,sqrTo:_2c});
function _2e(){
return ((this.t>0)?(this[0]&1):this.s)==0;
};
function _2f(e,z){
if(e>4294967295||e<1){
return _4.ONE;
}
var r=_5(),r2=_5(),g=z.convert(this),i=_16(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);
};
function _30(e,m){
var z;
if(e<256||m._isEven()){
z=new _21(m);
}else{
z=new _28(m);
}
return this._exp(e,z);
};
dojo.extend(_4,{_DB:_1,_DM:(1<<_1)-1,_DV:1<<_1,_FV:Math.pow(2,_9),_F1:_9-_1,_F2:2*_1-_9,_copyTo:_e,_fromInt:_f,_fromString:_10,_clamp:_11,_dlShiftTo:_18,_drShiftTo:_19,_lShiftTo:_1a,_rShiftTo:_1b,_subTo:_1c,_multiplyTo:_1d,_squareTo:_1e,_divRemTo:_1f,_invDigit:_27,_isEven:_2e,_exp:_2f,toString:_12,negate:_13,abs:_14,compareTo:_15,bitLength:_17,mod:_20,modPowInt:_30});
dojo._mixin(_4,{ZERO:nbv(0),ONE:nbv(1),_nbi:_5,_nbv:nbv,_nbits:_16,_Montgomery:_28});
dojox.math.BigInteger=_4;
})();
}

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