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eligendiexercitationem

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Yet another class for arbitrary-precision integers in pure JavaScript. Small. Well tested.

github.com/KattieLemke/eligendiexercitationem.git

Yaffle/BigInteger

107 lines • 165 kB
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/** * @overview Honestly Arbitrary Precision Integer library for ECMAScript. * @name hapint-1_9_2-min.es * @author Masashi Nakanishi * @version 1.9.2 * @license * Copyright 2011, Masashi Nakanishi * Dual licensed under the MIT or GPL Version 2 licenses. */ (function(Mb,Nb,Ga){if(!(-255==63*Math.pow(2,28)+268435201<<0&&Math.pow(2,53)+1==Math.pow(2,53)&&Math.pow(2,53)-1!=Math.pow(2,53)))throw Error("This script engine is not supported");var Da=isFinite,Eb=parseInt,G=Math.floor,Gc=Math.ceil,Jd=Math.round,Vd=Math.abs,Ca=Math.pow,Hc=Math.log,Ic=Math.sin,Jc=Math.cos,Ma=Math.min,rb=Math.max,od=Math.random,Kc=Math.LN2,Kd=Math.PI,sb=Number,Ob=String,F=Array,Pb=Date,Ga=(""+Ga).toLowerCase(),Ga=/webkit/.test(Ga)?"w":/opera/.test(Ga)?"o":/msie/.test(Ga)?/msie 6/.test(Ga)? "m6":"m":/gecko\//.test(Ga)?"g":"u",Qb=Ga in{w:1}?function(q){q-=q>>1&1431655765;q=(q&858993459)+(q>>2&858993459);q=q+(q>>4)&252645135;q+=q>>8;return q+(q>>16)&63}:function(q){q-=q>>1&1431655765;q=(q&858993459)+(q>>2&858993459);return 16843009*(q+(q>>4)&252645135)>>24},pd=function(q){return(Hc(q)/Kc|0)+1},Qa=Ga in{g:1}?pd:function(q){var t=1,s;if(s=q>>>16)q=s,t+=16;if(s=q>>8)q=s,t+=8;if(s=q>>4)q=s,t+=4;if(s=q>>2)q=s,t+=2;q>>1&&(t+=1);return t},Za=Ga in{m6:1}?function(q){if(0==q)return-1;q=(q&-q)- 1;q-=q>>1&1431655765;q=(q&858993459)+(q>>2&858993459);return 16843009*(q+(q>>4)&252645135)>>24}:Ga in{g:1}?function(q){if(0==q)return-1;q=~q&q-1;q-=q>>1&1431655765;q=(q&858993459)+(q>>2&858993459);return 16843009*(q+(q>>4)&252645135)>>24}:function(q){if(0==q)return-1;var t=0;q&65535||(q>>=16,t+=16);q&255||(q>>=8,t+=8);q&15||(q>>=4,t+=4);q&3||(q>>=2,t+=2);q&1||++t;return t},Ld=function(q){q|=q>>1;q|=q>>2;q|=q>>4;q|=q>>8;return(q|q>>16)+1},qd=function(q){if(!q||"function"!=typeof q.nextBytes)return!1; var t=F(1);q.nextBytes(t);t=t[0];return"number"==typeof t&&G(t)==t&&0<=t&&255>=t},dc=function(q){var t;if(!(t=qd(q)))"function"!=typeof q?t=!1:(q=q(),t="number"==typeof q&&0<=q&&1>q);return t},Wd=function(q,t){t.nextBytes(q)},Md=function(q,t){for(var s,w=q.length;4<=w;)s=4294967296*t()|0,q[--w]=s&255,q[--w]=(s>>=8)&255,q[--w]=(s>>=8)&255,q[--w]=s>>8&255;0<w&&(s=16777216*t()|0,q[--w]=s&255,0<w&&(q[--w]=(s>>=8)&255,0<w&&(q[0]=s>>8&255)))},Fb=function(q,t){var s=(q+7)/8>>>0,w=F(s);0<s&&(qd(t)?t.nextBytes(w): Md(w,t),w[0]&=(1<<8-(8*s-q))-1);return w},rd=function(q,t,s){var w=(q+7)/8>>>0,n=F(w);0<w&&(s(n,t),n[0]&=(1<<8-(8*w-q))-1);return n},Lc=function(){};Lc.prototype.suspend=function(){return!0};Lc.prototype.resume=function(){};var Mc=function(q){return q instanceof Lc},Ab=function(q){this.r=this.s=(new Pb).getTime();this.i="number"==typeof q?q:0;this.p=null};Ab.prototype=new Lc;Ab.prototype.suspend=function(){var q=(new Pb).getTime();if(q-this.r<this.i)return!1;this.p=q;return!0};Ab.prototype.resume= function(){this.r=(new Pb).getTime()};var Nd=function(q){if(q instanceof F){for(var t=q.length,s=F(t),w=0;w<t;++w)s[w]=arguments.callee(q[w]);return"["+s.toString()+"]"}return q.toString()},mb=function(q,t,s){if(!(s instanceof F)||0==s.length||"string"!=typeof s[0])throw Error("illegal argument");if(t){var w=Nd(s);if(t[w])return t[w]}var n=q[s[0]];if("function"!=typeof n)throw Error("unsupported algorithm name");for(var s=s.slice(1),p=0,m=s.length;p<m;++p)s[p]instanceof F&&"string"==typeof s[p][0]&& (s[p]=arguments.callee(q,t,s[p]));return t?t[w]=n.apply(null,s):n.apply(null,s)},Ga=function(q){var t=function(n){this._=n};t.maxBitLength=function(){return 31};if(q)var s=F(32768),w=function(n){return n&4294934528?new t(n):s[n]||(s[n]=new t(n))};else w=function(n){return new t(n)};t.valueOf=function(n){return w(n<<0)};t.prototype.add=function(n){return w(this._+n._<<0)};t.prototype.subtract=function(n){return w(this._-n._<<0)};t.prototype.multiply=function(n){return w(this._*n._<<0)};t.prototype.divide= function(n){return w(this._/n._<<0)};t.prototype.divideAndRemainder=function(n){return[w(this._/n._<<0),w(this._%n._<<0)]};t.prototype.negate=function(){return w(-this._<<0)};t.prototype.and=function(n){return w(this._&n._)};t.prototype.or=function(n){return w(this._|n._)};t.prototype.xor=function(n){return w(this._^n._)};t.prototype.not=function(){return w(~this._)};t.prototype.andNot=function(n){return w(this._&~n._)};t.prototype.shiftLeft=function(n){return w(this._<<n)};t.prototype.shiftRight= function(n){return w(this._>>n)};t.prototype.clearBit=function(n){return w(this._&~(1<<n))};t.prototype.flipBit=function(n){return w(this._^1<<n)};t.prototype.setBit=function(n){return w(this._|1<<n)};t.prototype.signum=function(){return 0==this._?0:0>this._?-1:1};t.prototype.equals=function(n){return this._==n._};t.prototype.compareTo=function(n){return this._==n._?0:this._<n._?-1:1};t.prototype.bitLength=function(){var n=0>this._?~this._:this._;return 0==n?0:Qa(n)};t.prototype.getLowestSetBit=function(){return Za(this._)}; t.prototype.bitCount=function(){return Qb(0>this._?~this._:this._)};t.prototype.testBit=function(n){return 0!=(this._&1<<n)};t.prototype.intValue=function(){return this._};t.prototype.doubleValue=function(){return this._};t.prototype.clone=function(){var n=new t;n._=this._;return n};t.freeCache=function(){if(q)s.length=0,s.length=32768};t.isUsingCache=function(){return q};t.factory=arguments.callee;return t}(!1),Od=function(q){var t=function(n){this._=n};t.maxBitLength=function(){return 53};if(q)var s= F(65536),w=function(n){return n&4294901760?new t(n):s[n]||(s[n]=new t(n))};else w=function(n){return new t(n)};t.valueOf=function(n){return w(n)};t.prototype.add=function(n){return w(this._+n._)};t.prototype.subtract=function(n){return w(this._-n._)};t.prototype.multiply=function(n){return w(this._*n._)};t.prototype.divide=function(n){return w(G(this._/n._))};t.prototype.divideAndRemainder=function(n){return[w(G(this._/n._)),w(this._%n._)]};t.prototype.negate=function(){return w(-this._)};t.prototype.and= function(n){var p=this._,n=n._;return 0>p?2147483648>n?w(p&n):-2147483648<=p?w(2147483648*(n/2147483648<<0)+(p&n&2147483647)):w(2147483648*(p/2147483648&n/2147483648)+(p&n&2147483647)):2147483648>p||2147483648>n?w(p&n):w(2147483648*(p/2147483648&n/2147483648)+(p&n&2147483647))};t.prototype.or=function(n){var p=this._,n=n._;if(0>p){if(-2147483648>p)return 2147483648<=n?w(2147483648*(p/2147483648|n/2147483648)+(p|n|2147483648)):w(2147483648*(p/2147483648<<0)+(p|n|2147483648));if(2147483648<=n)return w(p| n|2147483648)}else{if(2147483648<=p)return 2147483648<=n?w(2147483648*(p/2147483648|n/2147483648)+((p|n)&2147483647)):w(2147483648*(p/2147483648<<0)+((p|n)&2147483647));if(2147483648<=n)return w(2147483648*(n/2147483648<<0)+((p|n)&2147483647))}return w(p|n)};t.prototype.xor=function(n){var p=this._,n=n._;if(0>p){if(-2147483648>p)return 2147483648<=n?w(2147483648*(p/2147483648^n/2147483648)+(p^n|2147483648)):w(2147483648*(p/2147483648<<0)+(p^n|2147483648));if(2147483648<=n)return w(2147483648*~(n/ 2147483648)+(p^n|2147483648))}else{if(2147483648<=p)return 2147483648<=n?w(2147483648*(p/2147483648^n/2147483648)+((p^n)&2147483647)):w(2147483648*(p/2147483648<<0)+((p^n)&2147483647));if(2147483648<=n)return w(2147483648*(n/2147483648<<0)+((p^n)&2147483647))}return w(p^n)};t.prototype.not=function(){return w(-(this._+1))};t.prototype.andNot=function(n){var p=this._,n=-(n._+1);return 0>p?-2147483648>p?-2147483648>n?w(2147483648*(p/2147483648&n/2147483648)+(p&n|2147483648)):w(2147483648*(p/2147483648<< 0)+(p&n|2147483648)):-2147483648>n?w(2147483648*(n/2147483648<<0)+(p&n|2147483648)):w(p&n):2147483648>p?w(p&n):-2147483648<=n?w(2147483648*(p/2147483648<<0)+(p&n&2147483647)):w(2147483648*(p/2147483648&n/2147483648)+(p&n&2147483647))};t.prototype.shiftLeft=function(n){return w(this._*Ca(2,n)%9007199254740992)};t.prototype.shiftRight=function(n){return w(G(this._/Ca(2,n)))};t.prototype.clearBit=function(n){var p=this._;return 0>p?31>n?-2147483648<=p?w(p&~(1<<n)):w(2147483648*(p/2147483648<<0)+(p&~(1<< n)|2147483648)):-2147483648<=p?w(2147483648*~(1<<n-31)+p):w(2147483648*(p/2147483648&~(1<<n-31))+(p|2147483648)):31>n?2147483648>p?w(p&~(1<<n)):w(2147483648*(p/2147483648<<0)+(p&2147483647&~(1<<n))):2147483648>p?w(p):w(2147483648*(p/2147483648&~(1<<n-31))+(p&2147483647))};t.prototype.flipBit=function(n){var p=this._;return 0>p?31>n?-2147483648<=p?w(p^1<<n):w(2147483648*(p/2147483648<<0)+(p^1<<n|2147483648)):-2147483648<=p?w(2147483648*~(1<<n-31)+p):w(2147483648*(p/2147483648^1<<n-31)+(p|2147483648)): 31>n?2147483648>p?w(p^1<<n):w(2147483648*(p/2147483648<<0)+(p&2147483647^1<<n)):2147483648>p?w(2147483648*(1<<n-31)+p):w(2147483648*(p/2147483648^1<<n-31)+(p&2147483647))};t.prototype.setBit=function(n){var p=this._;return 0>p?31>n?-2147483648<=p?w(p|1<<n):w(2147483648*(p/2147483648<<0)+(p|2147483648|1<<n)):-2147483648<=p?w(p):w(2147483648*(p/2147483648|1<<n-31)+(p|2147483648)):31>n?2147483648>p?w(p|1<<n):w(2147483648*(p/2147483648<<0)+(p&2147483647|1<<n)):2147483648>p?w(2147483648*(1<<n-31)+p):w(2147483648* (p/2147483648|1<<n-31)+(p&2147483647))};t.prototype.signum=function(){return 0==this._?0:0>this._?-1:1};t.prototype.equals=function(n){return this._==n._};t.prototype.compareTo=function(n){return this._==n._?0:this._<n._?-1:1};t.prototype.bitLength=function(){var n=this._;return 0>n?-2147483648<=n?-1==n?0:Qa(~n):Qa(~(n/2147483648))+31:2147483648>n?0==n?0:Qa(n):Qa(n/2147483648<<0)+31};t.prototype.getLowestSetBit=function(){var n=this._;if(0==n)return-1;var p=Za(n<<0);return 0>p?Za(n/2147483648<<0)+ 31:p};t.prototype.bitCount=function(){var n=this._;return 0>n?-2147483648<=n?Qb(~n):Qb(~(n/2147483648))+Qa(~n&2147483647):2147483648>n?Qb(n):Qa(n/2147483648<<0)+Qa(n&2147483647)};t.prototype.testBit=function(n){return 31>n?0!=(this._&1<<n):0!=(this._/2147483648&1<<n-31)};t.prototype.intValue=function(){return this._<<0};t.prototype.doubleValue=function(){return this._};t.prototype.clone=function(){var n=new t;n._=this._;return n};t.freeCache=function(){if(q)s.length=0,s.length=65536};t.isUsingCache= function(){return q};t.factory=arguments.callee;return t}(!1);Mb[Nb]=function(){var q=arguments[0]||{},t="function"==typeof q.unit?q.unit:this&&"function"==typeof this.Unit?this.Unit:Od,s=function(j){var v=null;if("function"==typeof t.maxBitLength){v=t.maxBitLength();if("number"!=typeof v||!Da(v)||G(v)!=v||2>v)throw Error("bigint.maxBitLength() must return a finite integer greater than 1");v=G(v/2)}if(null==j)j=null==v?8:v;else{if(!Da(j)||1>j)j=8;null!=v&&j>v&&(j=v)}2147483647<j&&(j=2147483647);return j}(null!= q.unitBitLength?G(q.unitBitLength):this&&"function"==typeof this.unitBitLength?G(this.unitBitLength()):null),w=s-1,n=Ca(2,s),p=t.valueOf(0),m=t.valueOf(1),Q=p.setBit(s),K=Q.subtract(m),ra=t.valueOf(s),ga=function(j){return 0<=j.compareTo(Q)},Ha=function(){return{u:m,x:null}},H=function(j){if(9007199254740992<=j){var v=Hc(j/4503599627370496)/Kc|0;return sa(arguments.callee(G(j/Ca(2,v))),v)}for(var x=v={};j>=n;)x=x.x={u:t.valueOf(j%n)},j=G(j/n);x.x={u:t.valueOf(j),x:null};return v.x},y=H(1),Ga=H(2); H(s);var N=H(536870912),ec=function(j){if(!j||!(j.u instanceof t))return!1;var v,x;for(v=j,x=j;(x=x.x)&&(x=x.x);)if((v=v.x)==x)return!1;for(v=j;v=v.x;)if(!v||!(v.u instanceof t))return!1;return!0},Mb=function(j){for(;j;j=j.x){if(!(0<=j.u.signum())||ga(j.u))return!1;if(!j.x&&0==j.u.signum())return!1}return!0},Gb=function(j){return!j||"number"!=typeof j.sign||1!=Vd(j.sign)?!1:!j.mag||ec(j.mag)},Nb="function"==typeof t.prototype.getLowestBits?function(j,v){return j.getLowestBits(v)}:function(j,v){return j.and(p.setBit(v).subtract(m))}, ma="function"==typeof t.prototype.getLowestBits?function(j){return j.getLowestBits(s)}:function(j){return j.and(K)},Xd=function(j){var v=j.signum();if(0==v)return{sign:1,mag:null};0>v&&(j=j.negate());for(var x={},a=x;j.signum();j=j.shiftRight(s))a=a.x={u:ma(j)};a.x=null;return{sign:v,mag:x.x}},na=function(j){for(var v={u:j.u},x=v;j=j.x;)x=x.x={u:j.u};x.x=null;return v},Z=31>=s?function(j,v){var x={},a=x,d=x,c=v.u.intValue(),v=v.x;0==c&&(v=z(v,y),c=n);do{if((a=a.x={u:j.u}).u.signum())d=a;if(0==--c){if(!v)break; v=z(v,y);c=n}}while(j=j.x);d.x=null;return x.x}:function(j,v){var 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