"use strict";var sjcl={cipher:{},hash:{},mode:{},misc:{},codec:{},exception:{corrupt:function(a){this.toString=function(){return"CORRUPT: "+this.message};this.message=a},invalid:function(a){this.toString=function(){return"INVALID: "+this.message};this.message=a},bug:function(a){this.toString=function(){return"BUG: "+this.message};this.message=a}}}; sjcl.cipher.aes=function(a){this.h[0][0][0]||this.w();var b,c,d,e,f=this.h[0][4],g=this.h[1];b=a.length;var h=1;if(b!==4&&b!==6&&b!==8)throw new sjcl.exception.invalid("invalid aes key size");this.a=[d=a.slice(0),e=[]];for(a=b;a<4*b+28;a++){c=d[a-1];if(a%b===0||b===8&&a%b===4){c=f[c>>>24]<<24^f[c>>16&255]<<16^f[c>>8&255]<<8^f[c&255];if(a%b===0){c=c<<8^c>>>24^h<<24;h=h<<1^(h>>7)*283}}d[a]=d[a-b]^c}for(b=0;a;b++,a--){c=d[b&3?a:a-4];e[b]=a<=4||b<4?c:g[0][f[c>>>24]]^g[1][f[c>>16&255]]^g[2][f[c>>8&255]]^ g[3][f[c&255]]}}; sjcl.cipher.aes.prototype={encrypt:function(a){return this.H(a,0)},decrypt:function(a){return this.H(a,1)},h:[[[],[],[],[],[]],[[],[],[],[],[]]],w:function(){var a=this.h[0],b=this.h[1],c=a[4],d=b[4],e,f,g,h=[],i=[],k,j,l,m;for(e=0;e<0x100;e++)i[(h[e]=e<<1^(e>>7)*283)^e]=e;for(f=g=0;!c[f];f^=k||1,g=i[g]||1){l=g^g<<1^g<<2^g<<3^g<<4;l=l>>8^l&255^99;c[f]=l;d[l]=f;j=h[e=h[k=h[f]]];m=j*0x1010101^e*0x10001^k*0x101^f*0x1010100;j=h[l]*0x101^l*0x1010100;for(e=0;e<4;e++){a[e][f]=j=j<<24^j>>>8;b[e][l]=m=m<<24^m>>>8}}for(e= 0;e<5;e++){a[e]=a[e].slice(0);b[e]=b[e].slice(0)}},H:function(a,b){if(a.length!==4)throw new sjcl.exception.invalid("invalid aes block size");var c=this.a[b],d=a[0]^c[0],e=a[b?3:1]^c[1],f=a[2]^c[2];a=a[b?1:3]^c[3];var g,h,i,k=c.length/4-2,j,l=4,m=[0,0,0,0];g=this.h[b];var n=g[0],o=g[1],p=g[2],q=g[3],r=g[4];for(j=0;j>>24]^o[e>>16&255]^p[f>>8&255]^q[a&255]^c[l];h=n[e>>>24]^o[f>>16&255]^p[a>>8&255]^q[d&255]^c[l+1];i=n[f>>>24]^o[a>>16&255]^p[d>>8&255]^q[e&255]^c[l+2];a=n[a>>>24]^o[d>>16& 255]^p[e>>8&255]^q[f&255]^c[l+3];l+=4;d=g;e=h;f=i}for(j=0;j<4;j++){m[b?3&-j:j]=r[d>>>24]<<24^r[e>>16&255]<<16^r[f>>8&255]<<8^r[a&255]^c[l++];g=d;d=e;e=f;f=a;a=g}return m}}; sjcl.bitArray={bitSlice:function(a,b,c){a=sjcl.bitArray.P(a.slice(b/32),32-(b&31)).slice(1);return c===undefined?a:sjcl.bitArray.clamp(a,c-b)},concat:function(a,b){if(a.length===0||b.length===0)return a.concat(b);var c=a[a.length-1],d=sjcl.bitArray.getPartial(c);return d===32?a.concat(b):sjcl.bitArray.P(b,d,c|0,a.slice(0,a.length-1))},bitLength:function(a){var b=a.length;if(b===0)return 0;return(b-1)*32+sjcl.bitArray.getPartial(a[b-1])},clamp:function(a,b){if(a.length*320&&b)a[c-1]=sjcl.bitArray.partial(b,a[c-1]&2147483648>>b-1,1);return a},partial:function(a,b,c){if(a===32)return b;return(c?b|0:b<<32-a)+a*0x10000000000},getPartial:function(a){return Math.round(a/0x10000000000)||32},equal:function(a,b){if(sjcl.bitArray.bitLength(a)!==sjcl.bitArray.bitLength(b))return false;var c=0,d;for(d=0;d=32;b-=32){d.push(c);c=0}if(b===0)return d.concat(a); for(e=0;e>>b);c=a[e]<<32-b}e=a.length?a[a.length-1]:0;a=sjcl.bitArray.getPartial(e);d.push(sjcl.bitArray.partial(b+a&31,b+a>32?c:d.pop(),1));return d},k:function(a,b){return[a[0]^b[0],a[1]^b[1],a[2]^b[2],a[3]^b[3]]}}; sjcl.codec.utf8String={fromBits:function(a){var b="",c=sjcl.bitArray.bitLength(a),d,e;for(d=0;d>>24);e<<=8}return decodeURIComponent(escape(b))},toBits:function(a){a=unescape(encodeURIComponent(a));var b=[],c,d=0;for(c=0;c>>e)>>>26);if(e<6){g=a[d]<<6-e;e+=26;d++}else{g<<=6;e-=6}}for(;c.length&3&&!b;)c+="=";return c},toBits:function(a){a=a.replace(/\s|=/g,"");var b=[],c,d=0,e=sjcl.codec.base64.D,f=0,g;for(c=0;c26){d-=26;b.push(f^g>>>d);f=g<<32-d}else{d+=6;f^=g<<32-d}}d&56&&b.push(sjcl.bitArray.partial(d&56,f,1));return b}};sjcl.hash.sha256=function(a){this.a[0]||this.w();if(a){this.n=a.n.slice(0);this.i=a.i.slice(0);this.e=a.e}else this.reset()};sjcl.hash.sha256.hash=function(a){return(new sjcl.hash.sha256).update(a).finalize()}; sjcl.hash.sha256.prototype={blockSize:512,reset:function(){this.n=this.N.slice(0);this.i=[];this.e=0;return this},update:function(a){if(typeof a==="string")a=sjcl.codec.utf8String.toBits(a);var b,c=this.i=sjcl.bitArray.concat(this.i,a);b=this.e;a=this.e=b+sjcl.bitArray.bitLength(a);for(b=512+b&-512;b<=a;b+=512)this.C(c.splice(0,16));return this},finalize:function(){var a,b=this.i,c=this.n;b=sjcl.bitArray.concat(b,[sjcl.bitArray.partial(1,1)]);for(a=b.length+2;a&15;a++)b.push(0);b.push(Math.floor(this.e/ 4294967296));for(b.push(this.e|0);b.length;)this.C(b.splice(0,16));this.reset();return c},N:[],a:[],w:function(){function a(e){return(e-Math.floor(e))*0x100000000|0}var b=0,c=2,d;a:for(;b<64;c++){for(d=2;d*d<=c;d++)if(c%d===0)continue a;if(b<8)this.N[b]=a(Math.pow(c,0.5));this.a[b]=a(Math.pow(c,1/3));b++}},C:function(a){var b,c,d=a.slice(0),e=this.n,f=this.a,g=e[0],h=e[1],i=e[2],k=e[3],j=e[4],l=e[5],m=e[6],n=e[7];for(a=0;a<64;a++){if(a<16)b=d[a];else{b=d[a+1&15];c=d[a+14&15];b=d[a&15]=(b>>>7^b>>>18^ b>>>3^b<<25^b<<14)+(c>>>17^c>>>19^c>>>10^c<<15^c<<13)+d[a&15]+d[a+9&15]|0}b=b+n+(j>>>6^j>>>11^j>>>25^j<<26^j<<21^j<<7)+(m^j&(l^m))+f[a];n=m;m=l;l=j;j=k+b|0;k=i;i=h;h=g;g=b+(h&i^k&(h^i))+(h>>>2^h>>>13^h>>>22^h<<30^h<<19^h<<10)|0}e[0]=e[0]+g|0;e[1]=e[1]+h|0;e[2]=e[2]+i|0;e[3]=e[3]+k|0;e[4]=e[4]+j|0;e[5]=e[5]+l|0;e[6]=e[6]+m|0;e[7]=e[7]+n|0}}; sjcl.mode.ccm={name:"ccm",encrypt:function(a,b,c,d,e){var f,g=b.slice(0),h=sjcl.bitArray,i=h.bitLength(c)/8,k=h.bitLength(g)/8;e=e||64;d=d||[];if(i<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(f=2;f<4&&k>>>8*f;f++);if(f<15-i)f=15-i;c=h.clamp(c,8*(15-f));b=sjcl.mode.ccm.G(a,b,c,d,e,f);g=sjcl.mode.ccm.I(a,g,c,b,e,f);return h.concat(g.data,g.tag)},decrypt:function(a,b,c,d,e){e=e||64;d=d||[];var f=sjcl.bitArray,g=f.bitLength(c)/8,h=f.bitLength(b),i=f.clamp(b,h-e),k=f.bitSlice(b, h-e);h=(h-e)/8;if(g<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(b=2;b<4&&h>>>8*b;b++);if(b<15-g)b=15-g;c=f.clamp(c,8*(15-b));i=sjcl.mode.ccm.I(a,i,c,k,e,b);a=sjcl.mode.ccm.G(a,i.data,c,d,e,b);if(!f.equal(i.tag,a))throw new sjcl.exception.corrupt("ccm: tag doesn't match");return i.data},G:function(a,b,c,d,e,f){var g=[],h=sjcl.bitArray,i=h.k;e/=8;if(e%2||e<4||e>16)throw new sjcl.exception.invalid("ccm: invalid tag length");if(d.length>0xffffffff||b.length>0xffffffff)throw new sjcl.exception.bug("ccm: can't deal with 4GiB or more data"); f=[h.partial(8,(d.length?64:0)|e-2<<2|f-1)];f=h.concat(f,c);f[3]|=h.bitLength(b)/8;f=a.encrypt(f);if(d.length){c=h.bitLength(d)/8;if(c<=65279)g=[h.partial(16,c)];else if(c<=0xffffffff)g=h.concat([h.partial(16,65534)],[c]);g=h.concat(g,d);for(d=0;d>>31,a[1]<<1^a[2]>>>31,a[2]<<1^a[3]>>>31,a[3]<<1^(a[0]>>>31)*135]}};sjcl.misc.hmac=function(a,b){this.M=b=b||sjcl.hash.sha256;var c=[[],[]],d=b.prototype.blockSize/32;this.l=[new b,new b];if(a.length>d)a=b.hash(a);for(b=0;b0;){b++;e>>>=1}this.b[g].update([d,this.J++,2,b,f,a.length].concat(a));break;case "string":if(b===undefined)b=a.length;this.b[g].update([d,this.J++,3,b,f,a.length]);this.b[g].update(a);break;default:throw new sjcl.exception.bug("random: addEntropy only supports number, array or string");}this.j[g]+=b;this.f+=b;if(h===0){this.isReady()!==0&&this.K("seeded",Math.max(this.g, this.f));this.K("progress",this.getProgress())}},isReady:function(a){a=this.B[a!==undefined?a:this.t];return this.g&&this.g>=a?this.j[0]>80&&(new Date).valueOf()>this.O?3:1:this.f>=a?2:0},getProgress:function(a){a=this.B[a?a:this.t];return this.g>=a?1["0"]:this.f>a?1["0"]:this.f/a},startCollectors:function(){if(!this.m){if(window.addEventListener){window.addEventListener("load",this.o,false);window.addEventListener("mousemove",this.p,false)}else if(document.attachEvent){document.attachEvent("onload", this.o);document.attachEvent("onmousemove",this.p)}else throw new sjcl.exception.bug("can't attach event");this.m=true}},stopCollectors:function(){if(this.m){if(window.removeEventListener){window.removeEventListener("load",this.o);window.removeEventListener("mousemove",this.p)}else if(window.detachEvent){window.detachEvent("onload",this.o);window.detachEvent("onmousemove",this.p)}this.m=false}},addEventListener:function(a,b){this.r[a][this.Q++]=b},removeEventListener:function(a,b){var c;a=this.r[a]; var d=[];for(c in a)a.hasOwnProperty[c]&&a[c]===b&&d.push(c);for(b=0;b=1<this.g)this.g=c;this.z++;this.T(b)},p:function(a){sjcl.random.addEntropy([a.x|| a.clientX||a.offsetX,a.y||a.clientY||a.offsetY],2,"mouse")},o:function(){sjcl.random.addEntropy(new Date,2,"loadtime")},K:function(a,b){var c;a=sjcl.random.r[a];var d=[];for(c in a)a.hasOwnProperty(c)&&d.push(a[c]);for(c=0;c 4)throw new sjcl.exception.invalid("json encrypt: invalid parameters");if(typeof a==="string"){c=sjcl.misc.cachedPbkdf2(a,f);a=c.key.slice(0,f.ks/32);f.salt=c.salt}if(typeof b==="string")b=sjcl.codec.utf8String.toBits(b);c=new sjcl.cipher[f.cipher](a);e.c(d,f);d.key=a;f.ct=sjcl.mode[f.mode].encrypt(c,b,f.iv,f.adata,f.tag);return e.encode(e.V(f,e.defaults))},decrypt:function(a,b,c,d){c=c||{};d=d||{};var e=sjcl.json;b=e.c(e.c(e.c({},e.defaults),e.decode(b)),c,true);if(typeof b.salt==="string")b.salt= sjcl.codec.base64.toBits(b.salt);if(typeof b.iv==="string")b.iv=sjcl.codec.base64.toBits(b.iv);if(!sjcl.mode[b.mode]||!sjcl.cipher[b.cipher]||typeof a==="string"&&b.iter<=100||b.ts!==64&&b.ts!==96&&b.ts!==128||b.ks!==128&&b.ks!==192&&b.ks!==0x100||!b.iv||b.iv.length<2||b.iv.length>4)throw new sjcl.exception.invalid("json decrypt: invalid parameters");if(typeof a==="string"){c=sjcl.misc.cachedPbkdf2(a,b);a=c.key.slice(0,b.ks/32);b.salt=c.salt}c=new sjcl.cipher[b.cipher](a);c=sjcl.mode[b.mode].decrypt(c, b.ct,b.iv,b.adata,b.tag);e.c(d,b);d.key=a;return sjcl.codec.utf8String.fromBits(c)},encode:function(a){var b,c="{",d="";for(b in a)if(a.hasOwnProperty(b)){if(!b.match(/^[a-z0-9]+$/i))throw new sjcl.exception.invalid("json encode: invalid property name");c+=d+b+":";d=",";switch(typeof a[b]){case "number":case "boolean":c+=a[b];break;case "string":c+='"'+escape(a[b])+'"';break;case "object":c+='"'+sjcl.codec.base64.fromBits(a[b],1)+'"';break;default:throw new sjcl.exception.bug("json encode: unsupported type"); }}return c+"}"},decode:function(a){a=a.replace(/\s/g,"");if(!a.match(/^\{.*\}$/))throw new sjcl.exception.invalid("json decode: this isn't json!");a=a.replace(/^\{|\}$/g,"").split(/,/);var b={},c,d;for(c=0;c> 6) + b64map.charAt(c & 63); } if(i+1 == h.length) { c = parseInt(h.substring(i,i+1),16); ret += b64map.charAt(c << 2); } else if(i+2 == h.length) { c = parseInt(h.substring(i,i+2),16); ret += b64map.charAt(c >> 2) + b64map.charAt((c & 3) << 4); } while((ret.length & 3) > 0) ret += b64pad; return ret; } // convert a base64 string to hex function b64tohex(s) { var ret = "" var i; var k = 0; // b64 state, 0-3 var slop; for(i = 0; i < s.length; ++i) { if(s.charAt(i) == b64pad) break; var v = b64map.indexOf(s.charAt(i)); if(v < 0) continue; if(k == 0) { ret += int2char(v >> 2); slop = v & 3; k = 1; } else if(k == 1) { ret += int2char((slop << 2) | (v >> 4)); slop = v & 0xf; k = 2; } else if(k == 2) { ret += int2char(slop); ret += int2char(v >> 2); slop = v & 3; k = 3; } else { ret += int2char((slop << 2) | (v >> 4)); ret += int2char(v & 0xf); k = 0; } } if(k == 1) ret += int2char(slop << 2); return ret; } // convert a base64 string to a byte/number array function b64toBA(s) { //piggyback on b64tohex for now, optimize later var h = b64tohex(s); var i; var a = new Array(); for(i = 0; 2*i < h.length; ++i) { a[i] = parseInt(h.substring(2*i,2*i+2),16); } return a; } // Copyright (c) 2005 Tom Wu // All Rights Reserved. // See "LICENSE" for details. // Basic JavaScript BN library - subset useful for RSA encryption. // Bits per digit var dbits; // JavaScript engine analysis var canary = 0xdeadbeefcafe; var j_lm = ((canary&0xffffff)==0xefcafe); // (public) Constructor function BigInteger(a,b,c) { 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[i++]+w[j]+c; c = Math.floor(v/0x4000000); w[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[i]&0x7fff; var h = this[i++]>>15; var m = xh*l+h*xl; l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff); c = (l>>>30)+(m>>>15)+xh*h+(c>>>30); w[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[i]&0x3fff; var h = this[i++]>>14; var m = xh*l+h*xl; l = xl*l+((m&0x3fff)<<14)+w[j]+c; c = (l>>28)+(m>>14)+xh*h; w[j++] = l&0xfffffff; } return c; } 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<= 0; --i) r[i] = this[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[0] = x; else if(x < -1) this[0] = x+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[this.t++] = x; else if(sh+k > this.DB) { this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<>(this.DB-sh)); } else this[this.t-1] |= x<= this.DB) sh -= this.DB; } if(k == 8 && (s[0]&0x80) != 0) { this.s = -1; if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)< 0 && this[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< 0) { if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); } while(i >= 0) { if(p < k) { d = (this[i]&((1<>(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 += 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 r; while(--i >= 0) if((r=this[i]-a[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[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[i+n] = this[i]; for(i = n-1; i >= 0; --i) r[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[i-n] = this[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<= 0; --i) { r[i+ds+1] = (this[i]>>cbs)|c; c = (this[i]&bm)<= 0; --i) r[i] = 0; r[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; for(var i = ds+1; i < this.t; ++i) { r[i-ds-1] |= (this[i]&bm)<>bs; } if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<>= 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(); } // (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[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) 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[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(); } // (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[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[ys-1]; if(y0 == 0) return; var yt = y0*(1<1)?y[ys-2]>>this.F2:0); var d1 = this.FV/yt, d2 = (1<= 0) { r[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[y.t++] = 0; while(--j >= 0) { // Estimate quotient digit 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) { // Try it out 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) 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[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[x.t++] = 0; for(var i = 0; i < this.m.t; ++i) { // faster way of calculating u0 = x[i]*mp mod DV var j = x[i]&0x7fff; var u0 = (j*this.mpl+(((j*this.mph+(x[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[j] += this.m.am(0,u0,x,i,0,this.m.t); // propagate carry 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); } // 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[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< 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); // Copyright (c) 2005-2009 Tom Wu // All Rights Reserved. // See "LICENSE" for details. // 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[0]-this.DV; else if(this.t == 0) return -1; } else if(this.t == 1) return this[0]; else if(this.t == 0) return 0; // assumes 16 < DB < 32 return ((this[1]&((1<<(32-this.DB))-1))<>24; } // (public) return value as short (assumes DB>=16) function bnShortValue() { return (this.t==0)?this.s:(this[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[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< 0) { if(p < this.DB && (d = this[i]>>p) != (this.s&this.DM)>>p) r[k++] = d|(this.s<<(this.DB-p)); while(i >= 0) { if(p < 8) { d = (this[i]&((1<>(p+=this.DB-8); } else { d = (this[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[i] = op(this[i],a[i]); if(a.t < this.t) { f = a.s&this.DM; for(i = m; i < this.t; ++i) r[i] = op(this[i],f); r.t = this.t; } else { f = this.s&this.DM; for(i = m; i < a.t; ++i) r[i] = op(f,a[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[i] = this.DM&~this[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[i] != 0) return i*this.DB+lbit(this[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[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[j]&(1<<(n%this.DB)))!=0); } // (protected) this op (1<>= 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 > 0) r[i++] = c; else if(c < -1) r[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[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[this.t++] = 0; this[w] += n; while(this[w] >= this.DV) { this[w] -= this.DV; if(++w >= this.t) this[this.t++] = 0; ++this[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[--i] = 0; var j; for(j = r.t-this.t; i < j; ++i) r[i+this.t] = this.am(0,a[i],r,i,0,this.t); for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a[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[i] = 0; for(i = Math.max(n-this.t,0); i < a.t; ++i) r[this.t+i-n] = this.am(n-i,a[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< 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[j])-1; while(j >= 0) { if(i >= k1) w = (e[j]>>(i-k1))&km; else { w = (e[j]&((1<<(i+1))-1))<<(k1-i); if(j > 0) w |= e[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[j]&(1< 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[0]%n; else for(var i = this.t-1; i >= 0; --i) r = (d*r+this[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[0] <= lowprimes[lowprimes.length-1]) { for(i = 0; i < lowprimes.length; ++i) if(x[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); t = (t+1)>>1; if(t > lowprimes.length) t = lowprimes.length; var a = nbi(); for(var i = 0; i < t; ++i) { a.fromInt(lowprimes[i]); 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; } // 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) // Depends on jsbn.js and rng.js // Version 1.1: support utf-8 encoding in pkcs1pad2 // convert a (hex) string to a bignum object function parseBigInt(str,r) { return new BigInteger(str,r); } function linebrk(s,n) { var ret = ""; var i = 0; while(i + n < s.length) { ret += s.substring(i,i+n) + "\n"; i += n; } return ret + s.substring(i,s.length); } function byte2Hex(b) { if(b < 0x10) return "0" + b.toString(16); else return b.toString(16); } // PKCS#1 (type 2, random) pad input string s to n bytes, and return a bigint function pkcs1pad2(s,n) { if(n < s.length + 11) { // TODO: fix for utf-8 alert("Message too long for RSA"); return null; } var ba = new Array(); var i = s.length - 1; while(i >= 0 && n > 0) { var c = s.charCodeAt(i--); if(c < 128) { // encode using utf-8 ba[--n] = c; } else if((c > 127) && (c < 2048)) { ba[--n] = (c & 63) | 128; ba[--n] = (c >> 6) | 192; } else { ba[--n] = (c & 63) | 128; ba[--n] = ((c >> 6) & 63) | 128; ba[--n] = (c >> 12) | 224; } } ba[--n] = 0; var rng = new SecureRandom(); var x = new Array(); while(n > 2) { // random non-zero pad x[0] = 0; while(x[0] == 0) rng.nextBytes(x); ba[--n] = x[0]; } ba[--n] = 2; ba[--n] = 0; return new BigInteger(ba); } // "empty" RSA key constructor function RSAKey() { this.n = null; this.e = 0; this.d = null; this.p = null; this.q = null; this.dmp1 = null; this.dmq1 = null; this.coeff = null; } // Set the public key fields N and e from hex strings function RSASetPublic(N,E) { if(N != null && E != null && N.length > 0 && E.length > 0) { this.n = parseBigInt(N,16); this.e = parseInt(E,16); } else alert("Invalid RSA public key"); } // Perform raw public operation on "x": return x^e (mod n) function RSADoPublic(x) { return x.modPowInt(this.e, this.n); } // Return the PKCS#1 RSA encryption of "text" as an even-length hex string function RSAEncrypt(text) { var m = pkcs1pad2(text,(this.n.bitLength()+7)>>3); if(m == null) return null; var c = this.doPublic(m); if(c == null) return null; var h = c.toString(16); if((h.length & 1) == 0) return h; else return "0" + h; } // Return the PKCS#1 RSA encryption of "text" as a Base64-encoded string //function RSAEncryptB64(text) { // var h = this.encrypt(text); // if(h) return hex2b64(h); else return null; //} // protected RSAKey.prototype.doPublic = RSADoPublic; // public RSAKey.prototype.setPublic = RSASetPublic; RSAKey.prototype.encrypt = RSAEncrypt; //RSAKey.prototype.encrypt_b64 = RSAEncryptB64; // Depends on rsa.js and jsbn2.js // Version 1.1: support utf-8 decoding in pkcs1unpad2 // Undo PKCS#1 (type 2, random) padding and, if valid, return the plaintext function pkcs1unpad2(d,n) { var b = d.toByteArray(); var i = 0; while(i < b.length && b[i] == 0) ++i; if(b.length-i != n-1 || b[i] != 2) return null; ++i; while(b[i] != 0) if(++i >= b.length) return null; var ret = ""; while(++i < b.length) { var c = b[i] & 255; if(c < 128) { // utf-8 decode ret += String.fromCharCode(c); } else if((c > 191) && (c < 224)) { ret += String.fromCharCode(((c & 31) << 6) | (b[i+1] & 63)); ++i; } else { ret += String.fromCharCode(((c & 15) << 12) | ((b[i+1] & 63) << 6) | (b[i+2] & 63)); i += 2; } } return ret; } // Set the private key fields N, e, and d from hex strings function RSASetPrivate(N,E,D) { if(N != null && E != null && N.length > 0 && E.length > 0) { this.n = parseBigInt(N,16); this.e = parseInt(E,16); this.d = parseBigInt(D,16); } else alert("Invalid RSA private key"); } // Set the private key fields N, e, d and CRT params from hex strings function RSASetPrivateEx(N,E,D,P,Q,DP,DQ,C) { if(N != null && E != null && N.length > 0 && E.length > 0) { this.n = parseBigInt(N,16); this.e = parseInt(E,16); this.d = parseBigInt(D,16); this.p = parseBigInt(P,16); this.q = parseBigInt(Q,16); this.dmp1 = parseBigInt(DP,16); this.dmq1 = parseBigInt(DQ,16); this.coeff = parseBigInt(C,16); } else alert("Invalid RSA private key"); } // Generate a new random private key B bits long, using public expt E function RSAGenerate(B,E) { var rng = new SecureRandom(); var qs = B>>1; this.e = parseInt(E,16); var ee = new BigInteger(E,16); for(;;) { for(;;) { this.p = new BigInteger(B-qs,1,rng); if(this.p.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.p.isProbablePrime(10)) break; } for(;;) { this.q = new BigInteger(qs,1,rng); if(this.q.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.q.isProbablePrime(10)) break; } if(this.p.compareTo(this.q) <= 0) { var t = this.p; this.p = this.q; this.q = t; } var p1 = this.p.subtract(BigInteger.ONE); var q1 = this.q.subtract(BigInteger.ONE); var phi = p1.multiply(q1); if(phi.gcd(ee).compareTo(BigInteger.ONE) == 0) { this.n = this.p.multiply(this.q); this.d = ee.modInverse(phi); this.dmp1 = this.d.mod(p1); this.dmq1 = this.d.mod(q1); this.coeff = this.q.modInverse(this.p); break; } } } // Perform raw private operation on "x": return x^d (mod n) function RSADoPrivate(x) { if(this.p == null || this.q == null) return x.modPow(this.d, this.n); // TODO: re-calculate any missing CRT params var xp = x.mod(this.p).modPow(this.dmp1, this.p); var xq = x.mod(this.q).modPow(this.dmq1, this.q); while(xp.compareTo(xq) < 0) xp = xp.add(this.p); return xp.subtract(xq).multiply(this.coeff).mod(this.p).multiply(this.q).add(xq); } // Return the PKCS#1 RSA decryption of "ctext". // "ctext" is an even-length hex string and the output is a plain string. function RSADecrypt(ctext) { var c = parseBigInt(ctext, 16); var m = this.doPrivate(c); if(m == null) return null; return pkcs1unpad2(m, (this.n.bitLength()+7)>>3); } // Return the PKCS#1 RSA decryption of "ctext". // "ctext" is a Base64-encoded string and the output is a plain string. //function RSAB64Decrypt(ctext) { // var h = b64tohex(ctext); // if(h) return this.decrypt(h); else return null; //} // protected RSAKey.prototype.doPrivate = RSADoPrivate; // public RSAKey.prototype.setPrivate = RSASetPrivate; RSAKey.prototype.setPrivateEx = RSASetPrivateEx; RSAKey.prototype.generate = RSAGenerate; RSAKey.prototype.decrypt = RSADecrypt; //RSAKey.prototype.b64_decrypt = RSAB64Decrypt; // // asn1hex.js - Hexadecimal represented ASN.1 string library // // // version: 1.0 (2010-Jun-03) // // Copyright (c) 2010 Kenji Urushima (kenji.urushima@gmail.com) // // This software is licensed under the terms of the MIT License. // http://www.opensource.org/licenses/mit-license.php // // The above copyright and license notice shall be // included in all copies or substantial portions of the Software. // // // Depends on: // // MEMO: // f('3082025b02...', 2) ... 82025b ... 3bytes // f('020100', 2) ... 01 ... 1byte // f('0203001...', 2) ... 03 ... 1byte // f('02818003...', 2) ... 8180 ... 2bytes // f('3080....0000', 2) ... 80 ... -1 // // Requirements: // - ASN.1 type octet length MUST be 1. // (i.e. ASN.1 primitives like SET, SEQUENCE, INTEGER, OCTETSTRING ...) // - function _asnhex_getByteLengthOfL_AtObj(s, pos) { if (s.substring(pos + 2, pos + 3) != '8') return 1; var i = parseInt(s.substring(pos + 3, pos + 4)); if (i == 0) return -1; // length octet '80' indefinite length if (0 < i && i < 10) return i + 1; // including '8?' octet; return -2; // malformed format } function _asnhex_getHexOfL_AtObj(s, pos) { var len = _asnhex_getByteLengthOfL_AtObj(s, pos); if (len < 1) return ''; return s.substring(pos + 2, pos + 2 + len * 2); } // // getting ASN.1 length value at the position 'idx' of // hexa decimal string 's'. // // f('3082025b02...', 0) ... 82025b ... ??? // f('020100', 0) ... 01 ... 1 // f('0203001...', 0) ... 03 ... 3 // f('02818003...', 0) ... 8180 ... 128 function _asnhex_getIntOfL_AtObj(s, pos) { var hLength = _asnhex_getHexOfL_AtObj(s, pos); if (hLength == '') return -1; var bi; if (parseInt(hLength.substring(0, 1)) < 8) { bi = parseBigInt(hLength, 16); } else { bi = parseBigInt(hLength.substring(2), 16); } return bi.intValue(); } // // get ASN.1 value starting string position // for ASN.1 object refered by index 'idx'. // function _asnhex_getStartPosOfV_AtObj(s, pos) { var l_len = _asnhex_getByteLengthOfL_AtObj(s, pos); if (l_len < 0) return l_len; return pos + (l_len + 1) * 2; } function _asnhex_getHexOfV_AtObj(s, pos) { var pos1 = _asnhex_getStartPosOfV_AtObj(s, pos); var len = _asnhex_getIntOfL_AtObj(s, pos); return s.substring(pos1, pos1 + len * 2); } function _asnhex_getPosOfNextSibling_AtObj(s, pos) { var pos1 = _asnhex_getStartPosOfV_AtObj(s, pos); var len = _asnhex_getIntOfL_AtObj(s, pos); return pos1 + len * 2; } function _asnhex_getPosArrayOfChildren_AtObj(h, pos) { var a = new Array(); var p0 = _asnhex_getStartPosOfV_AtObj(h, pos); a.push(p0); var len = _asnhex_getIntOfL_AtObj(h, pos); var p = p0; var k = 0; while (1) { var pNext = _asnhex_getPosOfNextSibling_AtObj(h, p); if (pNext == null || (pNext - p0 >= (len * 2))) break; if (k >= 200) break; a.push(pNext); p = pNext; k++; } return a; } // // rsa-pem.js - adding function for reading/writing PKCS#1 PEM private key // to RSAKey class. // // version: 1.0 (2010-Jun-03) // // Copyright (c) 2010 Kenji Urushima (kenji.urushima@gmail.com) // // This software is licensed under the terms of the MIT License. // http://www.opensource.org/licenses/mit-license.php // // The above copyright and license notice shall be // included in all copies or substantial portions of the Software. // // // Depends on: // // // // _RSApem_pemToBase64(sPEM) // // removing PEM header, PEM footer and space characters including // new lines from PEM formatted RSA private key string. // function _rsapem_pemToBase64(sPEMPrivateKey) { var s = sPEMPrivateKey; s = s.replace("-----BEGIN RSA PRIVATE KEY-----", ""); s = s.replace("-----END RSA PRIVATE KEY-----", ""); s = s.replace(/[ \n]+/g, ""); return s; } function _rsapem_getPosArrayOfChildrenFromHex(hPrivateKey) { var a = new Array(); var v1 = _asnhex_getStartPosOfV_AtObj(hPrivateKey, 0); var n1 = _asnhex_getPosOfNextSibling_AtObj(hPrivateKey, v1); var e1 = _asnhex_getPosOfNextSibling_AtObj(hPrivateKey, n1); var d1 = _asnhex_getPosOfNextSibling_AtObj(hPrivateKey, e1); var p1 = _asnhex_getPosOfNextSibling_AtObj(hPrivateKey, d1); var q1 = _asnhex_getPosOfNextSibling_AtObj(hPrivateKey, p1); var dp1 = _asnhex_getPosOfNextSibling_AtObj(hPrivateKey, q1); var dq1 = _asnhex_getPosOfNextSibling_AtObj(hPrivateKey, dp1); var co1 = _asnhex_getPosOfNextSibling_AtObj(hPrivateKey, dq1); a.push(v1, n1, e1, d1, p1, q1, dp1, dq1, co1); return a; } function _rsapem_getHexValueArrayOfChildrenFromHex(hPrivateKey) { var posArray = _rsapem_getPosArrayOfChildrenFromHex(hPrivateKey); var v = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[0]); var n = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[1]); var e = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[2]); var d = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[3]); var p = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[4]); var q = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[5]); var dp = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[6]); var dq = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[7]); var co = _asnhex_getHexOfV_AtObj(hPrivateKey, posArray[8]); var a = new Array(); a.push(v, n, e, d, p, q, dp, dq, co); return a; } function _rsapem_readPrivateKeyFromPEMString(keyPEM) { var keyB64 = _rsapem_pemToBase64(keyPEM); var keyHex = b64tohex(keyB64) // depends base64.js var a = _rsapem_getHexValueArrayOfChildrenFromHex(keyHex); this.setPrivateEx(a[1],a[2],a[3],a[4],a[5],a[6],a[7],a[8]); } RSAKey.prototype.readPrivateKeyFromPEMString = _rsapem_readPrivateKeyFromPEMString; // // rsa-sign.js - adding signing functions to RSAKey class. // // // version: 1.0 (2010-Jun-03) // // Copyright (c) 2010 Kenji Urushima (kenji.urushima@gmail.com) // // This software is licensed under the terms of the MIT License. // http://www.opensource.org/licenses/mit-license.php // // The above copyright and license notice shall be // included in all copies or substantial portions of the Software. // // Depends on: // function sha1.hex(s) of sha1.js // jsbn.js // jsbn2.js // rsa.js // rsa2.js // // keysize / pmstrlen // 512 / 128 // 1024 / 256 // 2048 / 512 // 4096 / 1024 // As for _RSASGIN_DIHEAD values for each hash algorithm, see PKCS#1 v2.1 spec (p38). var _RSASIGN_DIHEAD = []; _RSASIGN_DIHEAD['sha1'] = "3021300906052b0e03021a05000414"; _RSASIGN_DIHEAD['sha256'] = "3031300d060960864801650304020105000420"; //_RSASIGN_DIHEAD['md2'] = "3020300c06082a864886f70d020205000410"; //_RSASIGN_DIHEAD['md5'] = "3020300c06082a864886f70d020505000410"; //_RSASIGN_DIHEAD['sha384'] = "3041300d060960864801650304020205000430"; //_RSASIGN_DIHEAD['sha512'] = "3051300d060960864801650304020305000440"; var _RSASIGN_HASHHEXFUNC = []; //_RSASIGN_HASHHEXFUNC['sha1'] = sha1.hex; _RSASIGN_HASHHEXFUNC['sha256'] = function(i) { return sjcl.codec.hex.fromBits(sjcl.hash.sha256.hash(i)); } // ======================================================================== // Signature Generation // ======================================================================== function _rsasign_getHexPaddedDigestInfoForString(s, keySize, hashAlg) { var pmStrLen = keySize / 4; var hashFunc = _RSASIGN_HASHHEXFUNC[hashAlg]; var sHashHex = hashFunc(s); var sHead = "0001"; var sTail = "00" + _RSASIGN_DIHEAD[hashAlg] + sHashHex; var sMid = ""; var fLen = pmStrLen - sHead.length - sTail.length; for (var i = 0; i < fLen; i += 2) { sMid += "ff"; } var sPaddedMessageHex = sHead + sMid + sTail; return sPaddedMessageHex; } function _rsasign_signString(s, hashAlg) { var hPM = _rsasign_getHexPaddedDigestInfoForString(s, this.n.bitLength(), hashAlg); var biPaddedMessage = parseBigInt(hPM, 16); var biSign = this.doPrivate(biPaddedMessage); var hexSign = biSign.toString(16); return hexSign; } function _rsasign_signStringWithSHA1(s) { var hPM = _rsasign_getHexPaddedDigestInfoForString(s, this.n.bitLength(), 'sha1'); var biPaddedMessage = parseBigInt(hPM, 16); var biSign = this.doPrivate(biPaddedMessage); var hexSign = biSign.toString(16); return hexSign; } function _rsasign_signStringWithSHA256(s) { var hPM = _rsasign_getHexPaddedDigestInfoForString(s, this.n.bitLength(), 'sha256'); var biPaddedMessage = parseBigInt(hPM, 16); var biSign = this.doPrivate(biPaddedMessage); var hexSign = biSign.toString(16); return hexSign; } // ======================================================================== // Signature Verification // ======================================================================== function _rsasign_getDecryptSignatureBI(biSig, hN, hE) { var rsa = new RSAKey(); rsa.setPublic(hN, hE); var biDecryptedSig = rsa.doPublic(biSig); return biDecryptedSig; } function _rsasign_getHexDigestInfoFromSig(biSig, hN, hE) { var biDecryptedSig = _rsasign_getDecryptSignatureBI(biSig, hN, hE); var hDigestInfo = biDecryptedSig.toString(16).replace(/^1f+00/, ''); return hDigestInfo; } function _rsasign_getAlgNameAndHashFromHexDisgestInfo(hDigestInfo) { for (var algName in _RSASIGN_DIHEAD) { var head = _RSASIGN_DIHEAD[algName]; var len = head.length; if (hDigestInfo.substring(0, len) == head) { var a = [algName, hDigestInfo.substring(len)]; return a; } } return []; } function _rsasign_verifySignatureWithArgs(sMsg, biSig, hN, hE) { var hDigestInfo = _rsasign_getHexDigestInfoFromSig(biSig, hN, hE); var digestInfoAry = _rsasign_getAlgNameAndHashFromHexDisgestInfo(hDigestInfo); if (digestInfoAry.length == 0) return false; var algName = digestInfoAry[0]; var diHashValue = digestInfoAry[1]; var ff = _RSASIGN_HASHHEXFUNC[algName]; var msgHashValue = ff(sMsg); return (diHashValue == msgHashValue); } function _rsasign_verifyHexSignatureForMessage(hSig, sMsg) { var biSig = parseBigInt(hSig, 16); var result = _rsasign_verifySignatureWithArgs(sMsg, biSig, this.n.toString(16), this.e.toString(16)); return result; } function _rsasign_verifyString(sMsg, hSig) { hSig = hSig.replace(/[ \n]+/g, ""); var biSig = parseBigInt(hSig, 16); var biDecryptedSig = this.doPublic(biSig); var hDigestInfo = biDecryptedSig.toString(16).replace(/^1f+00/, ''); var digestInfoAry = _rsasign_getAlgNameAndHashFromHexDisgestInfo(hDigestInfo); if (digestInfoAry.length == 0) return false; var algName = digestInfoAry[0]; var diHashValue = digestInfoAry[1]; var ff = _RSASIGN_HASHHEXFUNC[algName]; var msgHashValue = ff(sMsg); return (diHashValue == msgHashValue); } RSAKey.prototype.signString = _rsasign_signString; RSAKey.prototype.signStringWithSHA1 = _rsasign_signStringWithSHA1; RSAKey.prototype.signStringWithSHA256 = _rsasign_signStringWithSHA256; RSAKey.prototype.verifyString = _rsasign_verifyString; RSAKey.prototype.verifyHexSignatureForMessage = _rsasign_verifyHexSignatureForMessage; // // x509.js - X509 class to read subject public key from certificate. // // version: 1.0 (2010-Jun-03) // // Copyright (c) 2010 Kenji Urushima (kenji.urushima@gmail.com) // // This software is licensed under the terms of the MIT License. // http://www.opensource.org/licenses/mit-license.php // // The above copyright and license notice shall be // included in all copies or substantial portions of the Software. // // Depends: // base64.js // rsa.js function _x509_pemToBase64(sCertPEM) { var s = sCertPEM; s = s.replace("-----BEGIN CERTIFICATE-----", ""); s = s.replace("-----END CERTIFICATE-----", ""); s = s.replace(/[ \n]+/g, ""); return s; } function _x509_pemToHex(sCertPEM) { var b64Cert = _x509_pemToBase64(sCertPEM); var hCert = b64tohex(b64Cert); return hCert; } function _x509_getHexTbsCertificateFromCert(hCert) { var pTbsCert = _asnhex_getStartPosOfV_AtObj(hCert, 0); return pTbsCert; } // NOTE: privateKeyUsagePeriod field of X509v2 not supported. // NOTE: v1 and v3 supported function _x509_getSubjectPublicKeyInfoPosFromCertHex(hCert) { var pTbsCert = _asnhex_getStartPosOfV_AtObj(hCert, 0); var a = _asnhex_getPosArrayOfChildren_AtObj(hCert, pTbsCert); if (a.length < 1) return -1; if (hCert.substring(a[0], a[0] + 10) == "a003020102") { // v3 if (a.length < 6) return -1; return a[6]; } else { if (a.length < 5) return -1; return a[5]; } } // NOTE: Without BITSTRING encapsulation. function _x509_getSubjectPublicKeyPosFromCertHex(hCert) { var pInfo = _x509_getSubjectPublicKeyInfoPosFromCertHex(hCert); if (pInfo == -1) return -1; var a = _asnhex_getPosArrayOfChildren_AtObj(hCert, pInfo); if (a.length != 2) return -1; var pBitString = a[1]; if (hCert.substring(pBitString, pBitString + 2) != '03') return -1; var pBitStringV = _asnhex_getStartPosOfV_AtObj(hCert, pBitString); if (hCert.substring(pBitStringV, pBitStringV + 2) != '00') return -1; return pBitStringV + 2; } function _x509_getPublicKeyHexArrayFromCertHex(hCert) { var p = _x509_getSubjectPublicKeyPosFromCertHex(hCert); var a = _asnhex_getPosArrayOfChildren_AtObj(hCert, p); if (a.length != 2) return []; var hN = _asnhex_getHexOfV_AtObj(hCert, a[0]); var hE = _asnhex_getHexOfV_AtObj(hCert, a[1]); if (hN != null && hE != null) { return [hN, hE]; } else { return []; } } function _x509_getPublicKeyHexArrayFromCertPEM(sCertPEM) { var hCert = _x509_pemToHex(sCertPEM); var a = _x509_getPublicKeyHexArrayFromCertHex(hCert); return a; } function _x509_readCertPEM(sCertPEM) { var hCert = _x509_pemToHex(sCertPEM); var a = _x509_getPublicKeyHexArrayFromCertHex(hCert); var rsa = new RSAKey(); rsa.setPublic(a[0], a[1]); this.subjectPublicKeyRSA = rsa; this.subjectPublicKeyRSA_hN = a[0]; this.subjectPublicKeyRSA_hE = a[1]; } function _x509_readCertPEMWithoutRSAInit(sCertPEM) { var hCert = _x509_pemToHex(sCertPEM); var a = _x509_getPublicKeyHexArrayFromCertHex(hCert); this.subjectPublicKeyRSA.setPublic(a[0], a[1]); this.subjectPublicKeyRSA_hN = a[0]; this.subjectPublicKeyRSA_hE = a[1]; } function X509() { this.subjectPublicKeyRSA = null; this.subjectPublicKeyRSA_hN = null; this.subjectPublicKeyRSA_hE = null; } X509.prototype.readCertPEM = _x509_readCertPEM; X509.prototype.readCertPEMWithoutRSAInit = _x509_readCertPEMWithoutRSAInit; var jwt = {}; var JWTInternals = (function() { // convert a base64url string to hex var b64urlmap="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789-_"; function b64urltohex(s) { var ret = "" var i; var k = 0; // b64 state, 0-3 var slop; for(i = 0; i < s.length; ++i) { var v = b64urlmap.indexOf(s.charAt(i)); if(v < 0) continue; if(k == 0) { ret += int2char(v >> 2); slop = v & 3; k = 1; } else if(k == 1) { ret += int2char((slop << 2) | (v >> 4)); slop = v & 0xf; k = 2; } else if(k == 2) { ret += int2char(slop); ret += int2char(v >> 2); slop = v & 3; k = 3; } else { ret += int2char((slop << 2) | (v >> 4)); ret += int2char(v & 0xf); k = 0; } } if(k == 1) ret += int2char(slop << 2); return ret; } function base64urlencode(arg) { var s = window.btoa(arg); // Standard base64 encoder s = s.split('=')[0]; // Remove any trailing '='s s = s.replace(/\+/g, '-'); // 62nd char of encoding s = s.replace(/\//g, '_'); // 63rd char of encoding // TODO optimize this; we can do much better return s; } function base64urldecode(arg) { var s = arg; s = s.replace(/-/g, '+'); // 62nd char of encoding s = s.replace(/_/g, '/'); // 63rd char of encoding switch (s.length % 4) // Pad with trailing '='s { case 0: break; // No pad chars in this case case 2: s += "=="; break; // Two pad chars case 3: s += "="; break; // One pad char default: throw new InputException("Illegal base64url string!"); } return window.atob(s); // Standard base64 decoder } function NoSuchAlgorithmException(message) { this.message = message; this.toString = function() { return "No such algorithm: "+this.message; }; } function NotImplementedException(message) { this.message = message; this.toString = function() { return "Not implemented: "+this.message; }; } function InputException(message) { this.message = message; this.toString = function() { return "Malformed input: "+this.message; }; } function HMACAlgorithm(hash, key) { if (hash == "sha256") { this.hash = sjcl.hash.sha256; } else { throw new NoSuchAlgorithmException("HMAC does not support hash " + hash); } this.key = sjcl.codec.utf8String.toBits(key); } HMACAlgorithm.prototype = { update: function _update(data) { this.data = data; }, finalize: function _finalize() { }, sign: function _sign() { var hmac = new sjcl.misc.hmac(this.key, this.hash); var result = hmac.encrypt(this.data); return base64urlencode(window.atob(sjcl.codec.base64.fromBits(result))); }, verify: function _verify(sig) { var hmac = new sjcl.misc.hmac(this.key, this.hash); var result = hmac.encrypt(this.data); return base64urlencode(window.atob(sjcl.codec.base64.fromBits(result))) == sig; } } function RSASHAAlgorithm(hash, keyPEM) { if (hash == "sha1") { this.hash = "sha1"; } else if (hash == "sha256") { this.hash = "sha256"; } else { throw new NoSuchAlgorithmException("JWT algorithm: " + hash); } this.keyPEM = keyPEM; } RSASHAAlgorithm.prototype = { update: function _update(data) { this.data = data; }, finalize: function _finalize() { }, sign: function _sign() { var rsa = new RSAKey(); rsa.readPrivateKeyFromPEMString(this.keyPEM); var hSig = rsa.signString(this.data, this.hash); return base64urlencode(base64urldecode(hex2b64(hSig))); // TODO replace this with hex2b64urlencode! }, verify: function _verify(sig) { var result = this.keyPEM.verifyString(this.data, b64urltohex(sig)); return result; } } function WebToken(objectStr, algorithm) { this.objectStr = objectStr; this.pkAlgorithm = algorithm; } var WebTokenParser = { parse: function _parse(input) { var parts = input.split("."); if (parts.length != 3) { throw new MalformedWebToken("Must have three parts"); } var token = new WebToken(); token.headerSegment = parts[0]; token.payloadSegment = parts[1]; token.cryptoSegment = parts[2]; token.pkAlgorithm = base64urldecode(parts[0]); return token; } } function jsonObj(strOrObject) { if (typeof strOrObject == "string") { return JSON.parse(strOrObject); } return strOrObject; } function constructAlgorithm(jwtAlgStr, key) { if ("ES256" === jwtAlgStr) { throw new NotImplementedException("ECDSA-SHA256 not yet implemented"); } else if ("ES384" === jwtAlgStr) { throw new NotImplementedException("ECDSA-SHA384 not yet implemented"); } else if ("ES512" === jwtAlgStr) { throw new NotImplementedException("ECDSA-SHA512 not yet implemented"); } else if ("HS256" === jwtAlgStr) { return new HMACAlgorithm("sha256", key); } else if ("HS384" === jwtAlgStr) { throw new NotImplementedException("HMAC-SHA384 not yet implemented"); } else if ("HS512" === jwtAlgStr) { throw new NotImplementedException("HMAC-SHA512 not yet implemented"); } else if ("RS256" === jwtAlgStr) { return new RSASHAAlgorithm("sha256", key); } else if ("RS384" === jwtAlgStr) { throw new NotImplementedException("RSA-SHA384 not yet implemented"); } else if ("RS512" === jwtAlgStr) { throw new NotImplementedException("RSA-SHA512 not yet implemented"); } else { throw new NoSuchAlgorithmException("Unknown algorithm: " + jwtAlgStr); } } WebToken.prototype = { serialize: function _serialize(key) { var header = jsonObj(this.pkAlgorithm); var jwtAlgStr = header.alg; var algorithm = constructAlgorithm(jwtAlgStr, key); var algBytes = base64urlencode(this.pkAlgorithm); var jsonBytes = base64urlencode(this.objectStr); var stringToSign = algBytes + "." + jsonBytes; algorithm.update(stringToSign); var digestValue = algorithm.finalize(); var signatureValue = algorithm.sign(); return algBytes + "." + jsonBytes + "." + signatureValue; }, verify: function _verify(key) { var header = jsonObj(this.pkAlgorithm); var jwtAlgStr = header.alg; var algorithm = constructAlgorithm(jwtAlgStr, key); algorithm.update(this.headerSegment + "." + this.payloadSegment); algorithm.finalize(); return algorithm.verify(this.cryptoSegment); } } jwt.WebToken = WebToken; jwt.WebTokenParser = WebTokenParser; jwt.base64urlencode = base64urlencode; jwt.base64urldecode = base64urldecode; })();