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Windows News 2010 Summer - Disc 1
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BigInt.js
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2010-05-19
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var biRadixBase=2;var biRadixBits=16;var bitsPerDigit=biRadixBits;var biRadix=1<<16;var biHalfRadix=biRadix>>>1;var biRadixSquared=biRadix*biRadix;var maxDigitVal=biRadix-1;var maxInteger=9999999999999998;var maxDigits;var ZERO_ARRAY;var bigZero,bigOne;function setMaxDigits(b){maxDigits=b;ZERO_ARRAY=new Array(maxDigits);for(var a=0;a<ZERO_ARRAY.length;a++){ZERO_ARRAY[a]=0}bigZero=new BigInt();bigOne=new BigInt();bigOne.digits[0]=1}setMaxDigits(20);var dpl10=15;var lr10=biFromNumber(1000000000000000);function BigInt(a){if(typeof a=="boolean"&&a==true){this.digits=null}else{this.digits=ZERO_ARRAY.slice(0)}this.isNeg=false}function biFromDecimal(e){var d=e.charAt(0)=="-";var c=d?1:0;var a;while(c<e.length&&e.charAt(c)=="0"){++c}if(c==e.length){a=new BigInt()}else{var b=e.length-c;var f=b%dpl10;if(f==0){f=dpl10}a=biFromNumber(Number(e.substr(c,f)));c+=f;while(c<e.length){a=biAdd(biMultiply(a,lr10),biFromNumber(Number(e.substr(c,dpl10))));c+=dpl10}a.isNeg=d}return a}function biCopy(b){var a=new BigInt(true);a.digits=b.digits.slice(0);a.isNeg=b.isNeg;return a}function biFromNumber(c){var a=new BigInt();a.isNeg=c<0;c=Math.abs(c);var b=0;while(c>0){a.digits[b++]=c&maxDigitVal;c=Math.floor(c/biRadix)}return a}function reverseStr(c){var a="";for(var b=c.length-1;b>-1;--b){a+=c.charAt(b)}return a}var hexatrigesimalToChar=new Array("0","1","2","3","4","5","6","7","8","9","a","b","c","d","e","f","g","h","i","j","k","l","m","n","o","p","q","r","s","t","u","v","w","x","y","z");function biToString(d,f){var c=new BigInt();c.digits[0]=f;var e=biDivideModulo(d,c);var a=hexatrigesimalToChar[e[1].digits[0]];while(biCompare(e[0],bigZero)==1){e=biDivideModulo(e[0],c);digit=e[1].digits[0];a+=hexatrigesimalToChar[e[1].digits[0]]}return(d.isNeg?"-":"")+reverseStr(a)}function biToDecimal(d){var c=new BigInt();c.digits[0]=10;var e=biDivideModulo(d,c);var a=String(e[1].digits[0]);while(biCompare(e[0],bigZero)==1){e=biDivideModulo(e[0],c);a+=String(e[1].digits[0])}return(d.isNeg?"-":"")+reverseStr(a)}var hexToChar=new Array("0","1","2","3","4","5","6","7","8","9","a","b","c","d","e","f");function digitToHex(c){var b=15;var a="";for(i=0;i<4;++i){a+=hexToChar[c&b];c>>>=4}return reverseStr(a)}function biToHex(b){var a="";var d=biHighIndex(b);for(var c=biHighIndex(b);c>-1;--c){a+=digitToHex(b.digits[c])}return a}function charToHex(k){var d=48;var b=d+9;var e=97;var h=e+25;var g=65;var f=65+25;var a;if(k>=d&&k<=b){a=k-d}else{if(k>=g&&k<=f){a=10+k-g}else{if(k>=e&&k<=h){a=10+k-e}else{a=0}}}return a}function hexToDigit(d){var b=0;var a=Math.min(d.length,4);for(var c=0;c<a;++c){b<<=4;b|=charToHex(d.charCodeAt(c))}return b}function biFromHex(e){var b=new BigInt();var a=e.length;for(var d=a,c=0;d>0;d-=4,++c){b.digits[c]=hexToDigit(e.substr(Math.max(d-4,0),Math.min(d,4)))}return b}function biFromString(l,k){var a=l.charAt(0)=="-";var e=a?1:0;var m=new BigInt();var b=new BigInt();b.digits[0]=1;for(var d=l.length-1;d>=e;d--){var f=l.charCodeAt(d);var g=charToHex(f);var h=biMultiplyDigit(b,g);m=biAdd(m,h);b=biMultiplyDigit(b,k)}m.isNeg=a;return m}function biDump(a){return(a.isNeg?"-":"")+a.digits.join(" ")}function biAdd(b,g){var a;if(b.isNeg!=g.isNeg){g.isNeg=!g.isNeg;a=biSubtract(b,g);g.isNeg=!g.isNeg}else{a=new BigInt();var f=0;var e;for(var d=0;d<b.digits.length;++d){e=b.digits[d]+g.digits[d]+f;a.digits[d]=e%biRadix;f=Number(e>=biRadix)}a.isNeg=b.isNeg}return a}function biSubtract(b,g){var a;if(b.isNeg!=g.isNeg){g.isNeg=!g.isNeg;a=biAdd(b,g);g.isNeg=!g.isNeg}else{a=new BigInt();var f,e;e=0;for(var d=0;d<b.digits.length;++d){f=b.digits[d]-g.digits[d]+e;a.digits[d]=f%biRadix;if(a.digits[d]<0){a.digits[d]+=biRadix}e=0-Number(f<0)}if(e==-1){e=0;for(var d=0;d<b.digits.length;++d){f=0-a.digits[d]+e;a.digits[d]=f%biRadix;if(a.digits[d]<0){a.digits[d]+=biRadix}e=0-Number(f<0)}a.isNeg=!b.isNeg}else{a.isNeg=b.isNeg}}return a}function biHighIndex(b){var a=b.digits.length-1;while(a>0&&b.digits[a]==0){--a}return a}function biNumBits(c){var f=biHighIndex(c);var e=c.digits[f];var b=(f+1)*bitsPerDigit;var a;for(a=b;a>b-bitsPerDigit;--a){if((e&32768)!=0){break}e<<=1}return a}var inside_pow_mod=0;function biMultiply(h,g){var o=new BigInt();var f;var b=biHighIndex(h);var m=biHighIndex(g);var l,a,d;for(var e=0;e<=m;++e){f=0;d=e;for(j=0;j<=b;++j,++d){a=o.digits[d]+h.digits[j]*g.digits[e]+f;o.digits[d]=a&maxDigitVal;f=a>>>biRadixBits}o.digits[e+b+1]=f}o.isNeg=h.isNeg!=g.isNeg;return o}function biMultiplyDigit(a,g){var f,e,d;result=new BigInt();f=biHighIndex(a);e=0;for(var b=0;b<=f;++b){d=result.digits[b]+a.digits[b]*g+e;result.digits[b]=d&maxDigitVal;e=d>>>biRadixBits}result.digits[1+f]=e;return result}function arrayCopy(e,h,c,g,f){var a=Math.min(h+f,e.length);for(var d=h,b=g;d<a;++d,++b){c[b]=e[d]}}var highBitMasks=new Array(0,32768,49152,57344,61440,63488,64512,65024,65280,65408,65472,65504,65520,65528,65532,65534,65535);function biShiftLeft(b,h){var d=Math.floor(h/bitsPerDigit);var a=new BigInt();arrayCopy(b.digits,0,a.digits,d,a.digits.length-d);var g=h%bitsPerDigit;var c=bitsPerDigit-g;for(var e=a.digits.length-1,f=e-1;e>0;--e,--f){a.digits[e]=((a.digits[e]<<g)&maxDigitVal)|((a.digits[f]&highBitMasks[g])>>>(c))}a.digits[0]=((a.digits[e]<<g)&maxDigitVal);a.isNeg=b.isNeg;return a}var lowBitMasks=new Array(0,1,3,7,15,31,63,127,255,511,1023,2047,4095,8191,16383,32767,65535);function biShiftRight(b,h){var c=Math.floor(h/bitsPerDigit);var a=new BigInt();arrayCopy(b.digits,c,a.digits,0,b.digits.length-c);var f=h%bitsPerDigit;var g=bitsPerDigit-f;for(var d=0,e=d+1;d<a.digits.length-1;++d,++e){a.digits[d]=(a.digits[d]>>>f)|((a.digits[e]&lowBitMasks[f])<<g)}a.digits[a.digits.length-1]>>>=f;a.isNeg=b.isNeg;return a}function biMultiplyByRadixPower(b,c){var a=new BigInt();arrayCopy(b.digits,0,a.digits,c,a.digits.length-c);return a}function biDivideByRadixPower(b,c){var a=new BigInt();arrayCopy(b.digits,c,a.digits,0,a.digits.length-c);return a}function biModuloByRadixPower(b,c){var a=new BigInt();arrayCopy(b.digits,0,a.digits,0,c);return a}function biCompare(a,c){if(a.isNeg!=c.isNeg){return 1-2*Number(a.isNeg)}for(var b=a.digits.length-1;b>=0;--b){if(a.digits[b]!=c.digits[b]){if(a.isNeg){return 1-2*Number(a.digits[b]>c.digits[b])}else{return 1-2*Number(a.digits[b]<c.digits[b])}}}return 0}function biDivideModulo(g,f){var a=biNumBits(g);var e=biNumBits(f);var d=f.isNeg;var o,m;if(a<e){if(g.isNeg){o=biCopy(bigOne);o.isNeg=!f.isNeg;g.isNeg=false;f.isNeg=false;m=biSubtract(f,g);g.isNeg=true;f.isNeg=d}else{o=new BigInt();m=biCopy(g)}return new Array(o,m)}o=new BigInt();m=g;var k=Math.ceil(e/bitsPerDigit)-1;var h=0;while(f.digits[k]<biHalfRadix){f=biShiftLeft(f,1);++h;++e;k=Math.ceil(e/bitsPerDigit)-1}m=biShiftLeft(m,h);a+=h;var u=Math.ceil(a/bitsPerDigit)-1;var B=biMultiplyByRadixPower(f,u-k);while(biCompare(m,B)!=-1){++o.digits[u-k];m=biSubtract(m,B)}for(var z=u;z>k;--z){var l=(z>=m.digits.length)?0:m.digits[z];var A=(z-1>=m.digits.length)?0:m.digits[z-1];var w=(z-2>=m.digits.length)?0:m.digits[z-2];var v=(k>=f.digits.length)?0:f.digits[k];var c=(k-1>=f.digits.length)?0:f.digits[k-1];if(l==v){o.digits[z-k-1]=maxDigitVal}else{o.digits[z-k-1]=Math.floor((l*biRadix+A)/v)}var s=o.digits[z-k-1]*((v*biRadix)+c);var p=(l*biRadixSquared)+((A*biRadix)+w);while(s>p){--o.digits[z-k-1];s=o.digits[z-k-1]*((v*biRadix)|c);p=(l*biRadix*biRadix)+((A*biRadix)+w)}B=biMultiplyByRadixPower(f,z-k-1);m=biSubtract(m,biMultiplyDigit(B,o.digits[z-k-1]));if(m.isNeg){m=biAdd(m,B);--o.digits[z-k-1]}}m=biShiftRight(m,h);o.isNeg=g.isNeg!=d;if(g.isNeg){if(d){o=biAdd(o,bigOne)}else{o=biSubtract(o,bigOne)}f=biShiftRight(f,h);m=biSubtract(f,m)}if(m.digits[0]==0&&biHighIndex(m)==0){m.isNeg=false}return new Array(o,m)}function biDivide(a,b){return biDivideModulo(a,b)[0]}function biModulo(a,b){return biDivideModulo(a,b)[1]}function biMultiplyMod(b,c,a){return biModulo(biMultiply(b,c),a)}function biPow(c,e){var b=bigOne;var d=c;while(true){if((e&1)!=0){b=biMultiply(b,d)}e>>=1;if(e==0){break}d=biMultiply(d,d)}return b}function biPowMod(d,g,c){var b=bigOne;var e=d;var f=g;while(true){if((f.digits[0]&1)!=0){b=biMultiplyMod(b,e,c)}f=biShiftRight(f,1);if(f.digits[0]==0&&biHighIndex(f)==0){break}e=biMultiplyMod(e,e,c)}return b};