RSA与AES实现数据加密传输

泄露秘密 提交于 2020-01-12 13:00:29

RSA、AES简介

RSA:非对称加密,需要提前生成两个密钥(一对的),通过其中一个密钥加密后的数据,只有另一个密钥能解密。通常这两个密钥中有一个会暴漏出来,即对外公开的,这个密钥称为“公钥”,反之另一个是隐藏起来的,不公开的密钥称为“私钥”。

EAS:对称机密,数据的加密和解密都只使用同一个密钥。

关于加密传输

  是为了保证数据传输过程中,数据即使被“中间人”截获,“中间人”也无法解析其中的数据,使“中间人”无法得知我们实际要传输的数据,以达到保护数据的目的。如果客户端本身存在安全问题,则无法保证数据的安全,如浏览器端JS变量存储了即将传输的用户密码,这个变量被其他非信任脚本或其他方式获取到了,会导致数据泄露,这种问题并不是加密传输所能处理的。加密传输能保障数据,有一个前提,那就是对于本地动态生成的变量,就认为是安全的,是认为第三方无法获取的

RSA和AES配合实现加密传输

客户端往服务端传输加密数据

  1. 客户端每次请求前,都随机生成不同的AES密钥,保存到变量aesKey中
  2. 使用aesKey对要传输的信息进加密,得到加密内容A
  3. 通过预置在客户端的RSA公钥rsaPublicKey对aesKey加密,得到加密内容B
  4. 将内容A和内容B传输到服务端
  5. 服务端接收到内容A和内容B
  6. 使用预置在服务器端的RSA私钥rsaPrivateKey对内容B进行解密,还原得到客户端的aesKey
  7. 使用刚刚得到的aesKey对内容A进行解密,得到实际要传输的内容

服务端往客户端响应加密数据

  1. 以上第6步中,服务器得到了客户端的aesKey,用这个aesKey对要响应的内容进行加密,得到内容C,将内容C传输给客户端。
  2. 客户端接收到内容C,使用本地变量aesKey对内容C解密,得到实际的响应内容。

总结

  以上过程中,客户端动态生成的本地变量aesKey,就认为是外部无法获取的,并且信任这个值,用来加密传输数据。如果这个值被外部获取到了,则服务器响应给客户端的加密数据的安全性就无法得到保障了。可能会有这样的疑问:前端调试打个断点不就获取到了吗?同样的道理,你打个断点也能获取到用户即将提交的登陆账号密码。所以还是那句话,相信本地动态生成的变量的安全性,否则加密传输的安全性无法得到保障。

代码实现

AES加密解密(JS和JAVA) 代码参考来源:https://www.cnblogs.com/libo0125ok/p/7668026.html

JS

首先JS库

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JS加密解密函数(密钥需替换)

    function encrypt(word){
        var key = CryptoJS.enc.Utf8.parse("abcdefgabcdefg12");
        var srcs = CryptoJS.enc.Utf8.parse(word);
        var encrypted = CryptoJS.AES.encrypt(srcs, key, {mode:CryptoJS.mode.ECB,padding: CryptoJS.pad.Pkcs7});
        return encrypted.toString();
    }
    
    function decrypt(word){
        var key = CryptoJS.enc.Utf8.parse("abcdefgabcdefg12");
        var decrypt = CryptoJS.AES.decrypt(word, key, {mode:CryptoJS.mode.ECB,padding: CryptoJS.pad.Pkcs7});
        return CryptoJS.enc.Utf8.stringify(decrypt).toString();
    }

 

Java

Java依赖

<dependency>
    <groupId>commons-codec</groupId>
    <artifactId>commons-codec</artifactId>
    <version>1.10</version>
</dependency>
<dependency>
    <groupId>org.apache.commons</groupId>
    <artifactId>commons-lang3</artifactId>
    <version>3.4</version>
</dependency>

加密解密类

package com.lin.utils;

import java.math.BigInteger;

import javax.crypto.Cipher;
import javax.crypto.KeyGenerator;
import javax.crypto.spec.SecretKeySpec;

import org.apache.commons.codec.binary.Base64;
import org.apache.commons.lang3.StringUtils;

import sun.misc.BASE64Decoder;

/**
 * AES的加密和解密
 * @author libo
 */
public class Aes {
    //密钥 (需要前端和后端保持一致)
    private static final String KEY = "abcdefgabcdefg12";  
    //算法
    private static final String ALGORITHMSTR = "AES/ECB/PKCS5Padding";
    
    /** 
     * aes解密 
     * @param encrypt   内容 
     * @return 
     * @throws Exception 
     */  
    public static String aesDecrypt(String encrypt) {  
        try {
            return aesDecrypt(encrypt, KEY);
        } catch (Exception e) {
            e.printStackTrace();
            return "";
        }  
    }  
      
    /** 
     * aes加密 
     * @param content 
     * @return 
     * @throws Exception 
     */  
    public static String aesEncrypt(String content) {  
        try {
            return aesEncrypt(content, KEY);
        } catch (Exception e) {
            e.printStackTrace();
            return "";
        }  
    }  
  
    /** 
     * 将byte[]转为各种进制的字符串 
     * @param bytes byte[] 
     * @param radix 可以转换进制的范围,从Character.MIN_RADIX到Character.MAX_RADIX,超出范围后变为10进制 
     * @return 转换后的字符串 
     */  
    public static String binary(byte[] bytes, int radix){  
        return new BigInteger(1, bytes).toString(radix);// 这里的1代表正数  
    }  
  
    /** 
     * base 64 encode 
     * @param bytes 待编码的byte[] 
     * @return 编码后的base 64 code 
     */  
    public static String base64Encode(byte[] bytes){  
        return Base64.encodeBase64String(bytes);  
    }  
  
    /** 
     * base 64 decode 
     * @param base64Code 待解码的base 64 code 
     * @return 解码后的byte[] 
     * @throws Exception 
     */  
    public static byte[] base64Decode(String base64Code) throws Exception{  
        return StringUtils.isEmpty(base64Code) ? null : new BASE64Decoder().decodeBuffer(base64Code);  
    }  
  
      
    /** 
     * AES加密 
     * @param content 待加密的内容 
     * @param encryptKey 加密密钥 
     * @return 加密后的byte[] 
     * @throws Exception 
     */  
    public static byte[] aesEncryptToBytes(String content, String encryptKey) throws Exception {  
        KeyGenerator kgen = KeyGenerator.getInstance("AES");  
        kgen.init(128);  
        Cipher cipher = Cipher.getInstance(ALGORITHMSTR);  
        cipher.init(Cipher.ENCRYPT_MODE, new SecretKeySpec(encryptKey.getBytes(), "AES"));  
  
        return cipher.doFinal(content.getBytes("utf-8"));  
    }  
  
  
    /** 
     * AES加密为base 64 code 
     * @param content 待加密的内容 
     * @param encryptKey 加密密钥 
     * @return 加密后的base 64 code 
     * @throws Exception 
     */  
    public static String aesEncrypt(String content, String encryptKey) throws Exception {  
        return base64Encode(aesEncryptToBytes(content, encryptKey));  
    }  
  
    /** 
     * AES解密 
     * @param encryptBytes 待解密的byte[] 
     * @param decryptKey 解密密钥 
     * @return 解密后的String 
     * @throws Exception 
     */  
    public static String aesDecryptByBytes(byte[] encryptBytes, String decryptKey) throws Exception {  
        KeyGenerator kgen = KeyGenerator.getInstance("AES");  
        kgen.init(128);  
  
        Cipher cipher = Cipher.getInstance(ALGORITHMSTR);  
        cipher.init(Cipher.DECRYPT_MODE, new SecretKeySpec(decryptKey.getBytes(), "AES"));  
        byte[] decryptBytes = cipher.doFinal(encryptBytes);  
        return new String(decryptBytes);  
    }  
  
  
    /** 
     * 将base 64 code AES解密 
     * @param encryptStr 待解密的base 64 code 
     * @param decryptKey 解密密钥 
     * @return 解密后的string 
     * @throws Exception 
     */  
    public static String aesDecrypt(String encryptStr, String decryptKey) throws Exception {  
        return StringUtils.isEmpty(encryptStr) ? null : aesDecryptByBytes(base64Decode(encryptStr), decryptKey);  
    }  
    
    /**
     * 测试
     */
    public static void main(String[] args) throws Exception {  
        String content = "123";  
        System.out.println("加密前:" + content);  
        System.out.println("加密密钥和解密密钥:" + KEY);  
        String encrypt = aesEncrypt(content, KEY);  
        System.out.println("加密后:" + encrypt);  
        String decrypt = aesDecrypt(encrypt, KEY);  
        System.out.println("解密后:" + decrypt);  
    } 
}

 

RSA(JS加密,Java解密)

Java依赖

<dependency>
    <groupId>commons-codec</groupId>
    <artifactId>commons-codec</artifactId>
    <version>1.10</version>
</dependency>
<dependency>
    <groupId>org.bouncycastle</groupId>
    <artifactId>bcprov-jdk15on</artifactId>
    <version>1.52</version>
</dependency>

Java生成公钥和私钥

/**
 * 每次生成的结果都不一致,所以系统整个生命周期中一般只需要生成一次即可,将生成结果保留下来.
 */
public static void init() throws Exception {
    Security.addProvider(new BouncyCastleProvider());
    SecureRandom random = new SecureRandom();
    KeyPairGenerator generator = KeyPairGenerator.getInstance("RSA", "BC");
    generator.initialize(1024, random);
    KeyPair kp = generator.generateKeyPair();
    
    System.out.println("公钥:" + Base64.encodeBase64String(kp.getPublic().getEncoded()));
    System.out.println("私钥:" + Base64.encodeBase64String(kp.getPrivate().getEncoded()));
}

解密函数

/**
 * 解密.
 * @param data 待解密字符串.
 * @param key 私钥.
 * @return 返回解密后的字符串.
 * @throws Exception
 */
public static String decryptByPrivateKey(String data, String key) throws Exception{
    byte[] dataByte = Base64.decodeBase64(data);
    byte[] keyBytes = Base64.decodeBase64(key);
    
    // 取得私钥
    PKCS8EncodedKeySpec pkcs8KeySpec = new PKCS8EncodedKeySpec(keyBytes);
    KeyFactory keyFactory = KeyFactory.getInstance("RSA");
    Key privateKey = keyFactory.generatePrivate(pkcs8KeySpec);
    
    // 对数据解密
    Cipher cipher = Cipher.getInstance(keyFactory.getAlgorithm());
    cipher.init(Cipher.DECRYPT_MODE, privateKey);
    
    return new String(cipher.doFinal(dataByte), "UTF-8");
}

JS库(https://blog-static.cnblogs.com/files/woodk/jsencrypt.js

   1 var JSEncryptExports = {};
   2 (function(exports) {
   3 // Copyright (c) 2005  Tom Wu
   4 // All Rights Reserved.
   5 // See "LICENSE" for details.
   6 
   7 // Basic JavaScript BN library - subset useful for RSA encryption.
   8 
   9 // Bits per digit
  10     var dbits;
  11 
  12 // JavaScript engine analysis
  13     var canary = 0xdeadbeefcafe;
  14     var j_lm = ((canary&0xffffff)==0xefcafe);
  15 
  16 // (public) Constructor
  17     function BigInteger(a,b,c) {
  18         if(a != null)
  19             if("number" == typeof a) this.fromNumber(a,b,c);
  20             else if(b == null && "string" != typeof a) this.fromString(a,256);
  21             else this.fromString(a,b);
  22     }
  23 
  24 // return new, unset BigInteger
  25     function nbi() { return new BigInteger(null); }
  26 
  27 // am: Compute w_j += (x*this_i), propagate carries,
  28 // c is initial carry, returns final carry.
  29 // c < 3*dvalue, x < 2*dvalue, this_i < dvalue
  30 // We need to select the fastest one that works in this environment.
  31 
  32 // am1: use a single mult and divide to get the high bits,
  33 // max digit bits should be 26 because
  34 // max internal value = 2*dvalue^2-2*dvalue (< 2^53)
  35     function am1(i,x,w,j,c,n) {
  36         while(--n >= 0) {
  37             var v = x*this[i++]+w[j]+c;
  38             c = Math.floor(v/0x4000000);
  39             w[j++] = v&0x3ffffff;
  40         }
  41         return c;
  42     }
  43 // am2 avoids a big mult-and-extract completely.
  44 // Max digit bits should be <= 30 because we do bitwise ops
  45 // on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
  46     function am2(i,x,w,j,c,n) {
  47         var xl = x&0x7fff, xh = x>>15;
  48         while(--n >= 0) {
  49             var l = this[i]&0x7fff;
  50             var h = this[i++]>>15;
  51             var m = xh*l+h*xl;
  52             l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff);
  53             c = (l>>>30)+(m>>>15)+xh*h+(c>>>30);
  54             w[j++] = l&0x3fffffff;
  55         }
  56         return c;
  57     }
  58 // Alternately, set max digit bits to 28 since some
  59 // browsers slow down when dealing with 32-bit numbers.
  60     function am3(i,x,w,j,c,n) {
  61         var xl = x&0x3fff, xh = x>>14;
  62         while(--n >= 0) {
  63             var l = this[i]&0x3fff;
  64             var h = this[i++]>>14;
  65             var m = xh*l+h*xl;
  66             l = xl*l+((m&0x3fff)<<14)+w[j]+c;
  67             c = (l>>28)+(m>>14)+xh*h;
  68             w[j++] = l&0xfffffff;
  69         }
  70         return c;
  71     }
  72     if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) {
  73         BigInteger.prototype.am = am2;
  74         dbits = 30;
  75     }
  76     else if(j_lm && (navigator.appName != "Netscape")) {
  77         BigInteger.prototype.am = am1;
  78         dbits = 26;
  79     }
  80     else { // Mozilla/Netscape seems to prefer am3
  81         BigInteger.prototype.am = am3;
  82         dbits = 28;
  83     }
  84 
  85     BigInteger.prototype.DB = dbits;
  86     BigInteger.prototype.DM = ((1<<dbits)-1);
  87     BigInteger.prototype.DV = (1<<dbits);
  88 
  89     var BI_FP = 52;
  90     BigInteger.prototype.FV = Math.pow(2,BI_FP);
  91     BigInteger.prototype.F1 = BI_FP-dbits;
  92     BigInteger.prototype.F2 = 2*dbits-BI_FP;
  93 
  94 // Digit conversions
  95     var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
  96     var BI_RC = new Array();
  97     var rr,vv;
  98     rr = "0".charCodeAt(0);
  99     for(vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv;
 100     rr = "a".charCodeAt(0);
 101     for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
 102     rr = "A".charCodeAt(0);
 103     for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
 104 
 105     function int2char(n) { return BI_RM.charAt(n); }
 106     function intAt(s,i) {
 107         var c = BI_RC[s.charCodeAt(i)];
 108         return (c==null)?-1:c;
 109     }
 110 
 111 // (protected) copy this to r
 112     function bnpCopyTo(r) {
 113         for(var i = this.t-1; i >= 0; --i) r[i] = this[i];
 114         r.t = this.t;
 115         r.s = this.s;
 116     }
 117 
 118 // (protected) set from integer value x, -DV <= x < DV
 119     function bnpFromInt(x) {
 120         this.t = 1;
 121         this.s = (x<0)?-1:0;
 122         if(x > 0) this[0] = x;
 123         else if(x < -1) this[0] = x+this.DV;
 124         else this.t = 0;
 125     }
 126 
 127 // return bigint initialized to value
 128     function nbv(i) { var r = nbi(); r.fromInt(i); return r; }
 129 
 130 // (protected) set from string and radix
 131     function bnpFromString(s,b) {
 132         var k;
 133         if(b == 16) k = 4;
 134         else if(b == 8) k = 3;
 135         else if(b == 256) k = 8; // byte array
 136         else if(b == 2) k = 1;
 137         else if(b == 32) k = 5;
 138         else if(b == 4) k = 2;
 139         else { this.fromRadix(s,b); return; }
 140         this.t = 0;
 141         this.s = 0;
 142         var i = s.length, mi = false, sh = 0;
 143         while(--i >= 0) {
 144             var x = (k==8)?s[i]&0xff:intAt(s,i);
 145             if(x < 0) {
 146                 if(s.charAt(i) == "-") mi = true;
 147                 continue;
 148             }
 149             mi = false;
 150             if(sh == 0)
 151                 this[this.t++] = x;
 152             else if(sh+k > this.DB) {
 153                 this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<<sh;
 154                 this[this.t++] = (x>>(this.DB-sh));
 155             }
 156             else
 157                 this[this.t-1] |= x<<sh;
 158             sh += k;
 159             if(sh >= this.DB) sh -= this.DB;
 160         }
 161         if(k == 8 && (s[0]&0x80) != 0) {
 162             this.s = -1;
 163             if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)<<sh;
 164         }
 165         this.clamp();
 166         if(mi) BigInteger.ZERO.subTo(this,this);
 167     }
 168 
 169 // (protected) clamp off excess high words
 170     function bnpClamp() {
 171         var c = this.s&this.DM;
 172         while(this.t > 0 && this[this.t-1] == c) --this.t;
 173     }
 174 
 175 // (public) return string representation in given radix
 176     function bnToString(b) {
 177         if(this.s < 0) return "-"+this.negate().toString(b);
 178         var k;
 179         if(b == 16) k = 4;
 180         else if(b == 8) k = 3;
 181         else if(b == 2) k = 1;
 182         else if(b == 32) k = 5;
 183         else if(b == 4) k = 2;
 184         else return this.toRadix(b);
 185         var km = (1<<k)-1, d, m = false, r = "", i = this.t;
 186         var p = this.DB-(i*this.DB)%k;
 187         if(i-- > 0) {
 188             if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); }
 189             while(i >= 0) {
 190                 if(p < k) {
 191                     d = (this[i]&((1<<p)-1))<<(k-p);
 192                     d |= this[--i]>>(p+=this.DB-k);
 193                 }
 194                 else {
 195                     d = (this[i]>>(p-=k))&km;
 196                     if(p <= 0) { p += this.DB; --i; }
 197                 }
 198                 if(d > 0) m = true;
 199                 if(m) r += int2char(d);
 200             }
 201         }
 202         return m?r:"0";
 203     }
 204 
 205 // (public) -this
 206     function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; }
 207 
 208 // (public) |this|
 209     function bnAbs() { return (this.s<0)?this.negate():this; }
 210 
 211 // (public) return + if this > a, - if this < a, 0 if equal
 212     function bnCompareTo(a) {
 213         var r = this.s-a.s;
 214         if(r != 0) return r;
 215         var i = this.t;
 216         r = i-a.t;
 217         if(r != 0) return (this.s<0)?-r:r;
 218         while(--i >= 0) if((r=this[i]-a[i]) != 0) return r;
 219         return 0;
 220     }
 221 
 222 // returns bit length of the integer x
 223     function nbits(x) {
 224         var r = 1, t;
 225         if((t=x>>>16) != 0) { x = t; r += 16; }
 226         if((t=x>>8) != 0) { x = t; r += 8; }
 227         if((t=x>>4) != 0) { x = t; r += 4; }
 228         if((t=x>>2) != 0) { x = t; r += 2; }
 229         if((t=x>>1) != 0) { x = t; r += 1; }
 230         return r;
 231     }
 232 
 233 // (public) return the number of bits in "this"
 234     function bnBitLength() {
 235         if(this.t <= 0) return 0;
 236         return this.DB*(this.t-1)+nbits(this[this.t-1]^(this.s&this.DM));
 237     }
 238 
 239 // (protected) r = this << n*DB
 240     function bnpDLShiftTo(n,r) {
 241         var i;
 242         for(i = this.t-1; i >= 0; --i) r[i+n] = this[i];
 243         for(i = n-1; i >= 0; --i) r[i] = 0;
 244         r.t = this.t+n;
 245         r.s = this.s;
 246     }
 247 
 248 // (protected) r = this >> n*DB
 249     function bnpDRShiftTo(n,r) {
 250         for(var i = n; i < this.t; ++i) r[i-n] = this[i];
 251         r.t = Math.max(this.t-n,0);
 252         r.s = this.s;
 253     }
 254 
 255 // (protected) r = this << n
 256     function bnpLShiftTo(n,r) {
 257         var bs = n%this.DB;
 258         var cbs = this.DB-bs;
 259         var bm = (1<<cbs)-1;
 260         var ds = Math.floor(n/this.DB), c = (this.s<<bs)&this.DM, i;
 261         for(i = this.t-1; i >= 0; --i) {
 262             r[i+ds+1] = (this[i]>>cbs)|c;
 263             c = (this[i]&bm)<<bs;
 264         }
 265         for(i = ds-1; i >= 0; --i) r[i] = 0;
 266         r[ds] = c;
 267         r.t = this.t+ds+1;
 268         r.s = this.s;
 269         r.clamp();
 270     }
 271 
 272 // (protected) r = this >> n
 273     function bnpRShiftTo(n,r) {
 274         r.s = this.s;
 275         var ds = Math.floor(n/this.DB);
 276         if(ds >= this.t) { r.t = 0; return; }
 277         var bs = n%this.DB;
 278         var cbs = this.DB-bs;
 279         var bm = (1<<bs)-1;
 280         r[0] = this[ds]>>bs;
 281         for(var i = ds+1; i < this.t; ++i) {
 282             r[i-ds-1] |= (this[i]&bm)<<cbs;
 283             r[i-ds] = this[i]>>bs;
 284         }
 285         if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<<cbs;
 286         r.t = this.t-ds;
 287         r.clamp();
 288     }
 289 
 290 // (protected) r = this - a
 291     function bnpSubTo(a,r) {
 292         var i = 0, c = 0, m = Math.min(a.t,this.t);
 293         while(i < m) {
 294             c += this[i]-a[i];
 295             r[i++] = c&this.DM;
 296             c >>= this.DB;
 297         }
 298         if(a.t < this.t) {
 299             c -= a.s;
 300             while(i < this.t) {
 301                 c += this[i];
 302                 r[i++] = c&this.DM;
 303                 c >>= this.DB;
 304             }
 305             c += this.s;
 306         }
 307         else {
 308             c += this.s;
 309             while(i < a.t) {
 310                 c -= a[i];
 311                 r[i++] = c&this.DM;
 312                 c >>= this.DB;
 313             }
 314             c -= a.s;
 315         }
 316         r.s = (c<0)?-1:0;
 317         if(c < -1) r[i++] = this.DV+c;
 318         else if(c > 0) r[i++] = c;
 319         r.t = i;
 320         r.clamp();
 321     }
 322 
 323 // (protected) r = this * a, r != this,a (HAC 14.12)
 324 // "this" should be the larger one if appropriate.
 325     function bnpMultiplyTo(a,r) {
 326         var x = this.abs(), y = a.abs();
 327         var i = x.t;
 328         r.t = i+y.t;
 329         while(--i >= 0) r[i] = 0;
 330         for(i = 0; i < y.t; ++i) r[i+x.t] = x.am(0,y[i],r,i,0,x.t);
 331         r.s = 0;
 332         r.clamp();
 333         if(this.s != a.s) BigInteger.ZERO.subTo(r,r);
 334     }
 335 
 336 // (protected) r = this^2, r != this (HAC 14.16)
 337     function bnpSquareTo(r) {
 338         var x = this.abs();
 339         var i = r.t = 2*x.t;
 340         while(--i >= 0) r[i] = 0;
 341         for(i = 0; i < x.t-1; ++i) {
 342             var c = x.am(i,x[i],r,2*i,0,1);
 343             if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1)) >= x.DV) {
 344                 r[i+x.t] -= x.DV;
 345                 r[i+x.t+1] = 1;
 346             }
 347         }
 348         if(r.t > 0) r[r.t-1] += x.am(i,x[i],r,2*i,0,1);
 349         r.s = 0;
 350         r.clamp();
 351     }
 352 
 353 // (protected) divide this by m, quotient and remainder to q, r (HAC 14.20)
 354 // r != q, this != m.  q or r may be null.
 355     function bnpDivRemTo(m,q,r) {
 356         var pm = m.abs();
 357         if(pm.t <= 0) return;
 358         var pt = this.abs();
 359         if(pt.t < pm.t) {
 360             if(q != null) q.fromInt(0);
 361             if(r != null) this.copyTo(r);
 362             return;
 363         }
 364         if(r == null) r = nbi();
 365         var y = nbi(), ts = this.s, ms = m.s;
 366         var nsh = this.DB-nbits(pm[pm.t-1]);    // normalize modulus
 367         if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); }
 368         else { pm.copyTo(y); pt.copyTo(r); }
 369         var ys = y.t;
 370         var y0 = y[ys-1];
 371         if(y0 == 0) return;
 372         var yt = y0*(1<<this.F1)+((ys>1)?y[ys-2]>>this.F2:0);
 373         var d1 = this.FV/yt, d2 = (1<<this.F1)/yt, e = 1<<this.F2;
 374         var i = r.t, j = i-ys, t = (q==null)?nbi():q;
 375         y.dlShiftTo(j,t);
 376         if(r.compareTo(t) >= 0) {
 377             r[r.t++] = 1;
 378             r.subTo(t,r);
 379         }
 380         BigInteger.ONE.dlShiftTo(ys,t);
 381         t.subTo(y,y);    // "negative" y so we can replace sub with am later
 382         while(y.t < ys) y[y.t++] = 0;
 383         while(--j >= 0) {
 384             // Estimate quotient digit
 385             var qd = (r[--i]==y0)?this.DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2);
 386             if((r[i]+=y.am(0,qd,r,j,0,ys)) < qd) {    // Try it out
 387                 y.dlShiftTo(j,t);
 388                 r.subTo(t,r);
 389                 while(r[i] < --qd) r.subTo(t,r);
 390             }
 391         }
 392         if(q != null) {
 393             r.drShiftTo(ys,q);
 394             if(ts != ms) BigInteger.ZERO.subTo(q,q);
 395         }
 396         r.t = ys;
 397         r.clamp();
 398         if(nsh > 0) r.rShiftTo(nsh,r);    // Denormalize remainder
 399         if(ts < 0) BigInteger.ZERO.subTo(r,r);
 400     }
 401 
 402 // (public) this mod a
 403     function bnMod(a) {
 404         var r = nbi();
 405         this.abs().divRemTo(a,null,r);
 406         if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r);
 407         return r;
 408     }
 409 
 410 // Modular reduction using "classic" algorithm
 411     function Classic(m) { this.m = m; }
 412     function cConvert(x) {
 413         if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m);
 414         else return x;
 415     }
 416     function cRevert(x) { return x; }
 417     function cReduce(x) { x.divRemTo(this.m,null,x); }
 418     function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
 419     function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
 420 
 421     Classic.prototype.convert = cConvert;
 422     Classic.prototype.revert = cRevert;
 423     Classic.prototype.reduce = cReduce;
 424     Classic.prototype.mulTo = cMulTo;
 425     Classic.prototype.sqrTo = cSqrTo;
 426 
 427 // (protected) return "-1/this % 2^DB"; useful for Mont. reduction
 428 // justification:
 429 //         xy == 1 (mod m)
 430 //         xy =  1+km
 431 //   xy(2-xy) = (1+km)(1-km)
 432 // x[y(2-xy)] = 1-k^2m^2
 433 // x[y(2-xy)] == 1 (mod m^2)
 434 // if y is 1/x mod m, then y(2-xy) is 1/x mod m^2
 435 // should reduce x and y(2-xy) by m^2 at each step to keep size bounded.
 436 // JS multiply "overflows" differently from C/C++, so care is needed here.
 437     function bnpInvDigit() {
 438         if(this.t < 1) return 0;
 439         var x = this[0];
 440         if((x&1) == 0) return 0;
 441         var y = x&3;        // y == 1/x mod 2^2
 442         y = (y*(2-(x&0xf)*y))&0xf;    // y == 1/x mod 2^4
 443         y = (y*(2-(x&0xff)*y))&0xff;    // y == 1/x mod 2^8
 444         y = (y*(2-(((x&0xffff)*y)&0xffff)))&0xffff;    // y == 1/x mod 2^16
 445         // last step - calculate inverse mod DV directly;
 446         // assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints
 447         y = (y*(2-x*y%this.DV))%this.DV;        // y == 1/x mod 2^dbits
 448         // we really want the negative inverse, and -DV < y < DV
 449         return (y>0)?this.DV-y:-y;
 450     }
 451 
 452 // Montgomery reduction
 453     function Montgomery(m) {
 454         this.m = m;
 455         this.mp = m.invDigit();
 456         this.mpl = this.mp&0x7fff;
 457         this.mph = this.mp>>15;
 458         this.um = (1<<(m.DB-15))-1;
 459         this.mt2 = 2*m.t;
 460     }
 461 
 462 // xR mod m
 463     function montConvert(x) {
 464         var r = nbi();
 465         x.abs().dlShiftTo(this.m.t,r);
 466         r.divRemTo(this.m,null,r);
 467         if(x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r,r);
 468         return r;
 469     }
 470 
 471 // x/R mod m
 472     function montRevert(x) {
 473         var r = nbi();
 474         x.copyTo(r);
 475         this.reduce(r);
 476         return r;
 477     }
 478 
 479 // x = x/R mod m (HAC 14.32)
 480     function montReduce(x) {
 481         while(x.t <= this.mt2)    // pad x so am has enough room later
 482             x[x.t++] = 0;
 483         for(var i = 0; i < this.m.t; ++i) {
 484             // faster way of calculating u0 = x[i]*mp mod DV
 485             var j = x[i]&0x7fff;
 486             var u0 = (j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x.DM;
 487             // use am to combine the multiply-shift-add into one call
 488             j = i+this.m.t;
 489             x[j] += this.m.am(0,u0,x,i,0,this.m.t);
 490             // propagate carry
 491             while(x[j] >= x.DV) { x[j] -= x.DV; x[++j]++; }
 492         }
 493         x.clamp();
 494         x.drShiftTo(this.m.t,x);
 495         if(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
 496     }
 497 
 498 // r = "x^2/R mod m"; x != r
 499     function montSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
 500 
 501 // r = "xy/R mod m"; x,y != r
 502     function montMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
 503 
 504     Montgomery.prototype.convert = montConvert;
 505     Montgomery.prototype.revert = montRevert;
 506     Montgomery.prototype.reduce = montReduce;
 507     Montgomery.prototype.mulTo = montMulTo;
 508     Montgomery.prototype.sqrTo = montSqrTo;
 509 
 510 // (protected) true iff this is even
 511     function bnpIsEven() { return ((this.t>0)?(this[0]&1):this.s) == 0; }
 512 
 513 // (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79)
 514     function bnpExp(e,z) {
 515         if(e > 0xffffffff || e < 1) return BigInteger.ONE;
 516         var r = nbi(), r2 = nbi(), g = z.convert(this), i = nbits(e)-1;
 517         g.copyTo(r);
 518         while(--i >= 0) {
 519             z.sqrTo(r,r2);
 520             if((e&(1<<i)) > 0) z.mulTo(r2,g,r);
 521             else { var t = r; r = r2; r2 = t; }
 522         }
 523         return z.revert(r);
 524     }
 525 
 526 // (public) this^e % m, 0 <= e < 2^32
 527     function bnModPowInt(e,m) {
 528         var z;
 529         if(e < 256 || m.isEven()) z = new Classic(m); else z = new Montgomery(m);
 530         return this.exp(e,z);
 531     }
 532 
 533 // protected
 534     BigInteger.prototype.copyTo = bnpCopyTo;
 535     BigInteger.prototype.fromInt = bnpFromInt;
 536     BigInteger.prototype.fromString = bnpFromString;
 537     BigInteger.prototype.clamp = bnpClamp;
 538     BigInteger.prototype.dlShiftTo = bnpDLShiftTo;
 539     BigInteger.prototype.drShiftTo = bnpDRShiftTo;
 540     BigInteger.prototype.lShiftTo = bnpLShiftTo;
 541     BigInteger.prototype.rShiftTo = bnpRShiftTo;
 542     BigInteger.prototype.subTo = bnpSubTo;
 543     BigInteger.prototype.multiplyTo = bnpMultiplyTo;
 544     BigInteger.prototype.squareTo = bnpSquareTo;
 545     BigInteger.prototype.divRemTo = bnpDivRemTo;
 546     BigInteger.prototype.invDigit = bnpInvDigit;
 547     BigInteger.prototype.isEven = bnpIsEven;
 548     BigInteger.prototype.exp = bnpExp;
 549 
 550 // public
 551     BigInteger.prototype.toString = bnToString;
 552     BigInteger.prototype.negate = bnNegate;
 553     BigInteger.prototype.abs = bnAbs;
 554     BigInteger.prototype.compareTo = bnCompareTo;
 555     BigInteger.prototype.bitLength = bnBitLength;
 556     BigInteger.prototype.mod = bnMod;
 557     BigInteger.prototype.modPowInt = bnModPowInt;
 558 
 559 // "constants"
 560     BigInteger.ZERO = nbv(0);
 561     BigInteger.ONE = nbv(1);
 562 // Copyright (c) 2005-2009  Tom Wu
 563 // All Rights Reserved.
 564 // See "LICENSE" for details.
 565 
 566 // Extended JavaScript BN functions, required for RSA private ops.
 567 
 568 // Version 1.1: new BigInteger("0", 10) returns "proper" zero
 569 // Version 1.2: square() API, isProbablePrime fix
 570 
 571 // (public)
 572     function bnClone() { var r = nbi(); this.copyTo(r); return r; }
 573 
 574 // (public) return value as integer
 575     function bnIntValue() {
 576         if(this.s < 0) {
 577             if(this.t == 1) return this[0]-this.DV;
 578             else if(this.t == 0) return -1;
 579         }
 580         else if(this.t == 1) return this[0];
 581         else if(this.t == 0) return 0;
 582         // assumes 16 < DB < 32
 583         return ((this[1]&((1<<(32-this.DB))-1))<<this.DB)|this[0];
 584     }
 585 
 586 // (public) return value as byte
 587     function bnByteValue() { return (this.t==0)?this.s:(this[0]<<24)>>24; }
 588 
 589 // (public) return value as short (assumes DB>=16)
 590     function bnShortValue() { return (this.t==0)?this.s:(this[0]<<16)>>16; }
 591 
 592 // (protected) return x s.t. r^x < DV
 593     function bnpChunkSize(r) { return Math.floor(Math.LN2*this.DB/Math.log(r)); }
 594 
 595 // (public) 0 if this == 0, 1 if this > 0
 596     function bnSigNum() {
 597         if(this.s < 0) return -1;
 598         else if(this.t <= 0 || (this.t == 1 && this[0] <= 0)) return 0;
 599         else return 1;
 600     }
 601 
 602 // (protected) convert to radix string
 603     function bnpToRadix(b) {
 604         if(b == null) b = 10;
 605         if(this.signum() == 0 || b < 2 || b > 36) return "0";
 606         var cs = this.chunkSize(b);
 607         var a = Math.pow(b,cs);
 608         var d = nbv(a), y = nbi(), z = nbi(), r = "";
 609         this.divRemTo(d,y,z);
 610         while(y.signum() > 0) {
 611             r = (a+z.intValue()).toString(b).substr(1) + r;
 612             y.divRemTo(d,y,z);
 613         }
 614         return z.intValue().toString(b) + r;
 615     }
 616 
 617 // (protected) convert from radix string
 618     function bnpFromRadix(s,b) {
 619         this.fromInt(0);
 620         if(b == null) b = 10;
 621         var cs = this.chunkSize(b);
 622         var d = Math.pow(b,cs), mi = false, j = 0, w = 0;
 623         for(var i = 0; i < s.length; ++i) {
 624             var x = intAt(s,i);
 625             if(x < 0) {
 626                 if(s.charAt(i) == "-" && this.signum() == 0) mi = true;
 627                 continue;
 628             }
 629             w = b*w+x;
 630             if(++j >= cs) {
 631                 this.dMultiply(d);
 632                 this.dAddOffset(w,0);
 633                 j = 0;
 634                 w = 0;
 635             }
 636         }
 637         if(j > 0) {
 638             this.dMultiply(Math.pow(b,j));
 639             this.dAddOffset(w,0);
 640         }
 641         if(mi) BigInteger.ZERO.subTo(this,this);
 642     }
 643 
 644 // (protected) alternate constructor
 645     function bnpFromNumber(a,b,c) {
 646         if("number" == typeof b) {
 647             // new BigInteger(int,int,RNG)
 648             if(a < 2) this.fromInt(1);
 649             else {
 650                 this.fromNumber(a,c);
 651                 if(!this.testBit(a-1))    // force MSB set
 652                     this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this);
 653                 if(this.isEven()) this.dAddOffset(1,0); // force odd
 654                 while(!this.isProbablePrime(b)) {
 655                     this.dAddOffset(2,0);
 656                     if(this.bitLength() > a) this.subTo(BigInteger.ONE.shiftLeft(a-1),this);
 657                 }
 658             }
 659         }
 660         else {
 661             // new BigInteger(int,RNG)
 662             var x = new Array(), t = a&7;
 663             x.length = (a>>3)+1;
 664             b.nextBytes(x);
 665             if(t > 0) x[0] &= ((1<<t)-1); else x[0] = 0;
 666             this.fromString(x,256);
 667         }
 668     }
 669 
 670 // (public) convert to bigendian byte array
 671     function bnToByteArray() {
 672         var i = this.t, r = new Array();
 673         r[0] = this.s;
 674         var p = this.DB-(i*this.DB)%8, d, k = 0;
 675         if(i-- > 0) {
 676             if(p < this.DB && (d = this[i]>>p) != (this.s&this.DM)>>p)
 677                 r[k++] = d|(this.s<<(this.DB-p));
 678             while(i >= 0) {
 679                 if(p < 8) {
 680                     d = (this[i]&((1<<p)-1))<<(8-p);
 681                     d |= this[--i]>>(p+=this.DB-8);
 682                 }
 683                 else {
 684                     d = (this[i]>>(p-=8))&0xff;
 685                     if(p <= 0) { p += this.DB; --i; }
 686                 }
 687                 if((d&0x80) != 0) d |= -256;
 688                 if(k == 0 && (this.s&0x80) != (d&0x80)) ++k;
 689                 if(k > 0 || d != this.s) r[k++] = d;
 690             }
 691         }
 692         return r;
 693     }
 694 
 695     function bnEquals(a) { return(this.compareTo(a)==0); }
 696     function bnMin(a) { return(this.compareTo(a)<0)?this:a; }
 697     function bnMax(a) { return(this.compareTo(a)>0)?this:a; }
 698 
 699 // (protected) r = this op a (bitwise)
 700     function bnpBitwiseTo(a,op,r) {
 701         var i, f, m = Math.min(a.t,this.t);
 702         for(i = 0; i < m; ++i) r[i] = op(this[i],a[i]);
 703         if(a.t < this.t) {
 704             f = a.s&this.DM;
 705             for(i = m; i < this.t; ++i) r[i] = op(this[i],f);
 706             r.t = this.t;
 707         }
 708         else {
 709             f = this.s&this.DM;
 710             for(i = m; i < a.t; ++i) r[i] = op(f,a[i]);
 711             r.t = a.t;
 712         }
 713         r.s = op(this.s,a.s);
 714         r.clamp();
 715     }
 716 
 717 // (public) this & a
 718     function op_and(x,y) { return x&y; }
 719     function bnAnd(a) { var r = nbi(); this.bitwiseTo(a,op_and,r); return r; }
 720 
 721 // (public) this | a
 722     function op_or(x,y) { return x|y; }
 723     function bnOr(a) { var r = nbi(); this.bitwiseTo(a,op_or,r); return r; }
 724 
 725 // (public) this ^ a
 726     function op_xor(x,y) { return x^y; }
 727     function bnXor(a) { var r = nbi(); this.bitwiseTo(a,op_xor,r); return r; }
 728 
 729 // (public) this & ~a
 730     function op_andnot(x,y) { return x&~y; }
 731     function bnAndNot(a) { var r = nbi(); this.bitwiseTo(a,op_andnot,r); return r; }
 732 
 733 // (public) ~this
 734     function bnNot() {
 735         var r = nbi();
 736         for(var i = 0; i < this.t; ++i) r[i] = this.DM&~this[i];
 737         r.t = this.t;
 738         r.s = ~this.s;
 739         return r;
 740     }
 741 
 742 // (public) this << n
 743     function bnShiftLeft(n) {
 744         var r = nbi();
 745         if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r);
 746         return r;
 747     }
 748 
 749 // (public) this >> n
 750     function bnShiftRight(n) {
 751         var r = nbi();
 752         if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r);
 753         return r;
 754     }
 755 
 756 // return index of lowest 1-bit in x, x < 2^31
 757     function lbit(x) {
 758         if(x == 0) return -1;
 759         var r = 0;
 760         if((x&0xffff) == 0) { x >>= 16; r += 16; }
 761         if((x&0xff) == 0) { x >>= 8; r += 8; }
 762         if((x&0xf) == 0) { x >>= 4; r += 4; }
 763         if((x&3) == 0) { x >>= 2; r += 2; }
 764         if((x&1) == 0) ++r;
 765         return r;
 766     }
 767 
 768 // (public) returns index of lowest 1-bit (or -1 if none)
 769     function bnGetLowestSetBit() {
 770         for(var i = 0; i < this.t; ++i)
 771             if(this[i] != 0) return i*this.DB+lbit(this[i]);
 772         if(this.s < 0) return this.t*this.DB;
 773         return -1;
 774     }
 775 
 776 // return number of 1 bits in x
 777     function cbit(x) {
 778         var r = 0;
 779         while(x != 0) { x &= x-1; ++r; }
 780         return r;
 781     }
 782 
 783 // (public) return number of set bits
 784     function bnBitCount() {
 785         var r = 0, x = this.s&this.DM;
 786         for(var i = 0; i < this.t; ++i) r += cbit(this[i]^x);
 787         return r;
 788     }
 789 
 790 // (public) true iff nth bit is set
 791     function bnTestBit(n) {
 792         var j = Math.floor(n/this.DB);
 793         if(j >= this.t) return(this.s!=0);
 794         return((this[j]&(1<<(n%this.DB)))!=0);
 795     }
 796 
 797 // (protected) this op (1<<n)
 798     function bnpChangeBit(n,op) {
 799         var r = BigInteger.ONE.shiftLeft(n);
 800         this.bitwiseTo(r,op,r);
 801         return r;
 802     }
 803 
 804 // (public) this | (1<<n)
 805     function bnSetBit(n) { return this.changeBit(n,op_or); }
 806 
 807 // (public) this & ~(1<<n)
 808     function bnClearBit(n) { return this.changeBit(n,op_andnot); }
 809 
 810 // (public) this ^ (1<<n)
 811     function bnFlipBit(n) { return this.changeBit(n,op_xor); }
 812 
 813 // (protected) r = this + a
 814     function bnpAddTo(a,r) {
 815         var i = 0, c = 0, m = Math.min(a.t,this.t);
 816         while(i < m) {
 817             c += this[i]+a[i];
 818             r[i++] = c&this.DM;
 819             c >>= this.DB;
 820         }
 821         if(a.t < this.t) {
 822             c += a.s;
 823             while(i < this.t) {
 824                 c += this[i];
 825                 r[i++] = c&this.DM;
 826                 c >>= this.DB;
 827             }
 828             c += this.s;
 829         }
 830         else {
 831             c += this.s;
 832             while(i < a.t) {
 833                 c += a[i];
 834                 r[i++] = c&this.DM;
 835                 c >>= this.DB;
 836             }
 837             c += a.s;
 838         }
 839         r.s = (c<0)?-1:0;
 840         if(c > 0) r[i++] = c;
 841         else if(c < -1) r[i++] = this.DV+c;
 842         r.t = i;
 843         r.clamp();
 844     }
 845 
 846 // (public) this + a
 847     function bnAdd(a) { var r = nbi(); this.addTo(a,r); return r; }
 848 
 849 // (public) this - a
 850     function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; }
 851 
 852 // (public) this * a
 853     function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; }
 854 
 855 // (public) this^2
 856     function bnSquare() { var r = nbi(); this.squareTo(r); return r; }
 857 
 858 // (public) this / a
 859     function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; }
 860 
 861 // (public) this % a
 862     function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; }
 863 
 864 // (public) [this/a,this%a]
 865     function bnDivideAndRemainder(a) {
 866         var q = nbi(), r = nbi();
 867         this.divRemTo(a,q,r);
 868         return new Array(q,r);
 869     }
 870 
 871 // (protected) this *= n, this >= 0, 1 < n < DV
 872     function bnpDMultiply(n) {
 873         this[this.t] = this.am(0,n-1,this,0,0,this.t);
 874         ++this.t;
 875         this.clamp();
 876     }
 877 
 878 // (protected) this += n << w words, this >= 0
 879     function bnpDAddOffset(n,w) {
 880         if(n == 0) return;
 881         while(this.t <= w) this[this.t++] = 0;
 882         this[w] += n;
 883         while(this[w] >= this.DV) {
 884             this[w] -= this.DV;
 885             if(++w >= this.t) this[this.t++] = 0;
 886             ++this[w];
 887         }
 888     }
 889 
 890 // A "null" reducer
 891     function NullExp() {}
 892     function nNop(x) { return x; }
 893     function nMulTo(x,y,r) { x.multiplyTo(y,r); }
 894     function nSqrTo(x,r) { x.squareTo(r); }
 895 
 896     NullExp.prototype.convert = nNop;
 897     NullExp.prototype.revert = nNop;
 898     NullExp.prototype.mulTo = nMulTo;
 899     NullExp.prototype.sqrTo = nSqrTo;
 900 
 901 // (public) this^e
 902     function bnPow(e) { return this.exp(e,new NullExp()); }
 903 
 904 // (protected) r = lower n words of "this * a", a.t <= n
 905 // "this" should be the larger one if appropriate.
 906     function bnpMultiplyLowerTo(a,n,r) {
 907         var i = Math.min(this.t+a.t,n);
 908         r.s = 0; // assumes a,this >= 0
 909         r.t = i;
 910         while(i > 0) r[--i] = 0;
 911         var j;
 912         for(j = r.t-this.t; i < j; ++i) r[i+this.t] = this.am(0,a[i],r,i,0,this.t);
 913         for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a[i],r,i,0,n-i);
 914         r.clamp();
 915     }
 916 
 917 // (protected) r = "this * a" without lower n words, n > 0
 918 // "this" should be the larger one if appropriate.
 919     function bnpMultiplyUpperTo(a,n,r) {
 920         --n;
 921         var i = r.t = this.t+a.t-n;
 922         r.s = 0; // assumes a,this >= 0
 923         while(--i >= 0) r[i] = 0;
 924         for(i = Math.max(n-this.t,0); i < a.t; ++i)
 925             r[this.t+i-n] = this.am(n-i,a[i],r,0,0,this.t+i-n);
 926         r.clamp();
 927         r.drShiftTo(1,r);
 928     }
 929 
 930 // Barrett modular reduction
 931     function Barrett(m) {
 932         // setup Barrett
 933         this.r2 = nbi();
 934         this.q3 = nbi();
 935         BigInteger.ONE.dlShiftTo(2*m.t,this.r2);
 936         this.mu = this.r2.divide(m);
 937         this.m = m;
 938     }
 939 
 940     function barrettConvert(x) {
 941         if(x.s < 0 || x.t > 2*this.m.t) return x.mod(this.m);
 942         else if(x.compareTo(this.m) < 0) return x;
 943         else { var r = nbi(); x.copyTo(r); this.reduce(r); return r; }
 944     }
 945 
 946     function barrettRevert(x) { return x; }
 947 
 948 // x = x mod m (HAC 14.42)
 949     function barrettReduce(x) {
 950         x.drShiftTo(this.m.t-1,this.r2);
 951         if(x.t > this.m.t+1) { x.t = this.m.t+1; x.clamp(); }
 952         this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3);
 953         this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);
 954         while(x.compareTo(this.r2) < 0) x.dAddOffset(1,this.m.t+1);
 955         x.subTo(this.r2,x);
 956         while(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
 957     }
 958 
 959 // r = x^2 mod m; x != r
 960     function barrettSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
 961 
 962 // r = x*y mod m; x,y != r
 963     function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
 964 
 965     Barrett.prototype.convert = barrettConvert;
 966     Barrett.prototype.revert = barrettRevert;
 967     Barrett.prototype.reduce = barrettReduce;
 968     Barrett.prototype.mulTo = barrettMulTo;
 969     Barrett.prototype.sqrTo = barrettSqrTo;
 970 
 971 // (public) this^e % m (HAC 14.85)
 972     function bnModPow(e,m) {
 973         var i = e.bitLength(), k, r = nbv(1), z;
 974         if(i <= 0) return r;
 975         else if(i < 18) k = 1;
 976         else if(i < 48) k = 3;
 977         else if(i < 144) k = 4;
 978         else if(i < 768) k = 5;
 979         else k = 6;
 980         if(i < 8)
 981             z = new Classic(m);
 982         else if(m.isEven())
 983             z = new Barrett(m);
 984         else
 985             z = new Montgomery(m);
 986 
 987         // precomputation
 988         var g = new Array(), n = 3, k1 = k-1, km = (1<<k)-1;
 989         g[1] = z.convert(this);
 990         if(k > 1) {
 991             var g2 = nbi();
 992             z.sqrTo(g[1],g2);
 993             while(n <= km) {
 994                 g[n] = nbi();
 995                 z.mulTo(g2,g[n-2],g[n]);
 996                 n += 2;
 997             }
 998         }
 999 
1000         var j = e.t-1, w, is1 = true, r2 = nbi(), t;
1001         i = nbits(e[j])-1;
1002         while(j >= 0) {
1003             if(i >= k1) w = (e[j]>>(i-k1))&km;
1004             else {
1005                 w = (e[j]&((1<<(i+1))-1))<<(k1-i);
1006                 if(j > 0) w |= e[j-1]>>(this.DB+i-k1);
1007             }
1008 
1009             n = k;
1010             while((w&1) == 0) { w >>= 1; --n; }
1011             if((i -= n) < 0) { i += this.DB; --j; }
1012             if(is1) {    // ret == 1, don't bother squaring or multiplying it
1013                 g[w].copyTo(r);
1014                 is1 = false;
1015             }
1016             else {
1017                 while(n > 1) { z.sqrTo(r,r2); z.sqrTo(r2,r); n -= 2; }
1018                 if(n > 0) z.sqrTo(r,r2); else { t = r; r = r2; r2 = t; }
1019                 z.mulTo(r2,g[w],r);
1020             }
1021 
1022             while(j >= 0 && (e[j]&(1<<i)) == 0) {
1023                 z.sqrTo(r,r2); t = r; r = r2; r2 = t;
1024                 if(--i < 0) { i = this.DB-1; --j; }
1025             }
1026         }
1027         return z.revert(r);
1028     }
1029 
1030 // (public) gcd(this,a) (HAC 14.54)
1031     function bnGCD(a) {
1032         var x = (this.s<0)?this.negate():this.clone();
1033         var y = (a.s<0)?a.negate():a.clone();
1034         if(x.compareTo(y) < 0) { var t = x; x = y; y = t; }
1035         var i = x.getLowestSetBit(), g = y.getLowestSetBit();
1036         if(g < 0) return x;
1037         if(i < g) g = i;
1038         if(g > 0) {
1039             x.rShiftTo(g,x);
1040             y.rShiftTo(g,y);
1041         }
1042         while(x.signum() > 0) {
1043             if((i = x.getLowestSetBit()) > 0) x.rShiftTo(i,x);
1044             if((i = y.getLowestSetBit()) > 0) y.rShiftTo(i,y);
1045             if(x.compareTo(y) >= 0) {
1046                 x.subTo(y,x);
1047                 x.rShiftTo(1,x);
1048             }
1049             else {
1050                 y.subTo(x,y);
1051                 y.rShiftTo(1,y);
1052             }
1053         }
1054         if(g > 0) y.lShiftTo(g,y);
1055         return y;
1056     }
1057 
1058 // (protected) this % n, n < 2^26
1059     function bnpModInt(n) {
1060         if(n <= 0) return 0;
1061         var d = this.DV%n, r = (this.s<0)?n-1:0;
1062         if(this.t > 0)
1063             if(d == 0) r = this[0]%n;
1064             else for(var i = this.t-1; i >= 0; --i) r = (d*r+this[i])%n;
1065         return r;
1066     }
1067 
1068 // (public) 1/this % m (HAC 14.61)
1069     function bnModInverse(m) {
1070         var ac = m.isEven();
1071         if((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO;
1072         var u = m.clone(), v = this.clone();
1073         var a = nbv(1), b = nbv(0), c = nbv(0), d = nbv(1);
1074         while(u.signum() != 0) {
1075             while(u.isEven()) {
1076                 u.rShiftTo(1,u);
1077                 if(ac) {
1078                     if(!a.isEven() || !b.isEven()) { a.addTo(this,a); b.subTo(m,b); }
1079                     a.rShiftTo(1,a);
1080                 }
1081                 else if(!b.isEven()) b.subTo(m,b);
1082                 b.rShiftTo(1,b);
1083             }
1084             while(v.isEven()) {
1085                 v.rShiftTo(1,v);
1086                 if(ac) {
1087                     if(!c.isEven() || !d.isEven()) { c.addTo(this,c); d.subTo(m,d); }
1088                     c.rShiftTo(1,c);
1089                 }
1090                 else if(!d.isEven()) d.subTo(m,d);
1091                 d.rShiftTo(1,d);
1092             }
1093             if(u.compareTo(v) >= 0) {
1094                 u.subTo(v,u);
1095                 if(ac) a.subTo(c,a);
1096                 b.subTo(d,b);
1097             }
1098             else {
1099                 v.subTo(u,v);
1100                 if(ac) c.subTo(a,c);
1101                 d.subTo(b,d);
1102             }
1103         }
1104         if(v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO;
1105         if(d.compareTo(m) >= 0) return d.subtract(m);
1106         if(d.signum() < 0) d.addTo(m,d); else return d;
1107         if(d.signum() < 0) return d.add(m); else return d;
1108     }
1109 
1110     var lowprimes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997];
1111     var lplim = (1<<26)/lowprimes[lowprimes.length-1];
1112 
1113 // (public) test primality with certainty >= 1-.5^t
1114     function bnIsProbablePrime(t) {
1115         var i, x = this.abs();
1116         if(x.t == 1 && x[0] <= lowprimes[lowprimes.length-1]) {
1117             for(i = 0; i < lowprimes.length; ++i)
1118                 if(x[0] == lowprimes[i]) return true;
1119             return false;
1120         }
1121         if(x.isEven()) return false;
1122         i = 1;
1123         while(i < lowprimes.length) {
1124             var m = lowprimes[i], j = i+1;
1125             while(j < lowprimes.length && m < lplim) m *= lowprimes[j++];
1126             m = x.modInt(m);
1127             while(i < j) if(m%lowprimes[i++] == 0) return false;
1128         }
1129         return x.millerRabin(t);
1130     }
1131 
1132 // (protected) true if probably prime (HAC 4.24, Miller-Rabin)
1133     function bnpMillerRabin(t) {
1134         var n1 = this.subtract(BigInteger.ONE);
1135         var k = n1.getLowestSetBit();
1136         if(k <= 0) return false;
1137         var r = n1.shiftRight(k);
1138         t = (t+1)>>1;
1139         if(t > lowprimes.length) t = lowprimes.length;
1140         var a = nbi();
1141         for(var i = 0; i < t; ++i) {
1142             //Pick bases at random, instead of starting at 2
1143             a.fromInt(lowprimes[Math.floor(Math.random()*lowprimes.length)]);
1144             var y = a.modPow(r,this);
1145             if(y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) {
1146                 var j = 1;
1147                 while(j++ < k && y.compareTo(n1) != 0) {
1148                     y = y.modPowInt(2,this);
1149                     if(y.compareTo(BigInteger.ONE) == 0) return false;
1150                 }
1151                 if(y.compareTo(n1) != 0) return false;
1152             }
1153         }
1154         return true;
1155     }
1156 
1157 // protected
1158     BigInteger.prototype.chunkSize = bnpChunkSize;
1159     BigInteger.prototype.toRadix = bnpToRadix;
1160     BigInteger.prototype.fromRadix = bnpFromRadix;
1161     BigInteger.prototype.fromNumber = bnpFromNumber;
1162     BigInteger.prototype.bitwiseTo = bnpBitwiseTo;
1163     BigInteger.prototype.changeBit = bnpChangeBit;
1164     BigInteger.prototype.addTo = bnpAddTo;
1165     BigInteger.prototype.dMultiply = bnpDMultiply;
1166     BigInteger.prototype.dAddOffset = bnpDAddOffset;
1167     BigInteger.prototype.multiplyLowerTo = bnpMultiplyLowerTo;
1168     BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo;
1169     BigInteger.prototype.modInt = bnpModInt;
1170     BigInteger.prototype.millerRabin = bnpMillerRabin;
1171 
1172 // public
1173     BigInteger.prototype.clone = bnClone;
1174     BigInteger.prototype.intValue = bnIntValue;
1175     BigInteger.prototype.byteValue = bnByteValue;
1176     BigInteger.prototype.shortValue = bnShortValue;
1177     BigInteger.prototype.signum = bnSigNum;
1178     BigInteger.prototype.toByteArray = bnToByteArray;
1179     BigInteger.prototype.equals = bnEquals;
1180     BigInteger.prototype.min = bnMin;
1181     BigInteger.prototype.max = bnMax;
1182     BigInteger.prototype.and = bnAnd;
1183     BigInteger.prototype.or = bnOr;
1184     BigInteger.prototype.xor = bnXor;
1185     BigInteger.prototype.andNot = bnAndNot;
1186     BigInteger.prototype.not = bnNot;
1187     BigInteger.prototype.shiftLeft = bnShiftLeft;
1188     BigInteger.prototype.shiftRight = bnShiftRight;
1189     BigInteger.prototype.getLowestSetBit = bnGetLowestSetBit;
1190     BigInteger.prototype.bitCount = bnBitCount;
1191     BigInteger.prototype.testBit = bnTestBit;
1192     BigInteger.prototype.setBit = bnSetBit;
1193     BigInteger.prototype.clearBit = bnClearBit;
1194     BigInteger.prototype.flipBit = bnFlipBit;
1195     BigInteger.prototype.add = bnAdd;
1196     BigInteger.prototype.subtract = bnSubtract;
1197     BigInteger.prototype.multiply = bnMultiply;
1198     BigInteger.prototype.divide = bnDivide;
1199     BigInteger.prototype.remainder = bnRemainder;
1200     BigInteger.prototype.divideAndRemainder = bnDivideAndRemainder;
1201     BigInteger.prototype.modPow = bnModPow;
1202     BigInteger.prototype.modInverse = bnModInverse;
1203     BigInteger.prototype.pow = bnPow;
1204     BigInteger.prototype.gcd = bnGCD;
1205     BigInteger.prototype.isProbablePrime = bnIsProbablePrime;
1206 
1207 // JSBN-specific extension
1208     BigInteger.prototype.square = bnSquare;
1209 
1210 // BigInteger interfaces not implemented in jsbn:
1211 
1212 // BigInteger(int signum, byte[] magnitude)
1213 // double doubleValue()
1214 // float floatValue()
1215 // int hashCode()
1216 // long longValue()
1217 // static BigInteger valueOf(long val)
1218 // prng4.js - uses Arcfour as a PRNG
1219 
1220     function Arcfour() {
1221         this.i = 0;
1222         this.j = 0;
1223         this.S = new Array();
1224     }
1225 
1226 // Initialize arcfour context from key, an array of ints, each from [0..255]
1227     function ARC4init(key) {
1228         var i, j, t;
1229         for(i = 0; i < 256; ++i)
1230             this.S[i] = i;
1231         j = 0;
1232         for(i = 0; i < 256; ++i) {
1233             j = (j + this.S[i] + key[i % key.length]) & 255;
1234             t = this.S[i];
1235             this.S[i] = this.S[j];
1236             this.S[j] = t;
1237         }
1238         this.i = 0;
1239         this.j = 0;
1240     }
1241 
1242     function ARC4next() {
1243         var t;
1244         this.i = (this.i + 1) & 255;
1245         this.j = (this.j + this.S[this.i]) & 255;
1246         t = this.S[this.i];
1247         this.S[this.i] = this.S[this.j];
1248         this.S[this.j] = t;
1249         return this.S[(t + this.S[this.i]) & 255];
1250     }
1251 
1252     Arcfour.prototype.init = ARC4init;
1253     Arcfour.prototype.next = ARC4next;
1254 
1255 // Plug in your RNG constructor here
1256     function prng_newstate() {
1257         return new Arcfour();
1258     }
1259 
1260 // Pool size must be a multiple of 4 and greater than 32.
1261 // An array of bytes the size of the pool will be passed to init()
1262     var rng_psize = 256;
1263 // Random number generator - requires a PRNG backend, e.g. prng4.js
1264     var rng_state;
1265     var rng_pool;
1266     var rng_pptr;
1267 
1268 // Initialize the pool with junk if needed.
1269     if(rng_pool == null) {
1270         rng_pool = new Array();
1271         rng_pptr = 0;
1272         var t;
1273         if(window.crypto && window.crypto.getRandomValues) {
1274             // Extract entropy (2048 bits) from RNG if available
1275             var z = new Uint32Array(256);
1276             window.crypto.getRandomValues(z);
1277             for (t = 0; t < z.length; ++t)
1278                 rng_pool[rng_pptr++] = z[t] & 255;
1279         }
1280 
1281         // Use mouse events for entropy, if we do not have enough entropy by the time
1282         // we need it, entropy will be generated by Math.random.
1283         var onMouseMoveListener = function(ev) {
1284             this.count = this.count || 0;
1285             if (this.count >= 256 || rng_pptr >= rng_psize) {
1286                 if (window.removeEventListener)
1287                     window.removeEventListener("mousemove", onMouseMoveListener);
1288                 else if (window.detachEvent)
1289                     window.detachEvent("onmousemove", onMouseMoveListener);
1290                 return;
1291             }
1292             this.count += 1;
1293             var mouseCoordinates = ev.x + ev.y;
1294             rng_pool[rng_pptr++] = mouseCoordinates & 255;
1295         };
1296         if (window.addEventListener)
1297             window.addEventListener("mousemove", onMouseMoveListener);
1298         else if (window.attachEvent)
1299             window.attachEvent("onmousemove", onMouseMoveListener);
1300 
1301     }
1302 
1303     function rng_get_byte() {
1304         if(rng_state == null) {
1305             rng_state = prng_newstate();
1306             // At this point, we may not have collected enough entropy.  If not, fall back to Math.random
1307             while (rng_pptr < rng_psize) {
1308                 var random = Math.floor(65536 * Math.random());
1309                 rng_pool[rng_pptr++] = random & 255;
1310             }
1311             rng_state.init(rng_pool);
1312             for(rng_pptr = 0; rng_pptr < rng_pool.length; ++rng_pptr)
1313                 rng_pool[rng_pptr] = 0;
1314             rng_pptr = 0;
1315         }
1316         // TODO: allow reseeding after first request
1317         return rng_state.next();
1318     }
1319 
1320     function rng_get_bytes(ba) {
1321         var i;
1322         for(i = 0; i < ba.length; ++i) ba[i] = rng_get_byte();
1323     }
1324 
1325     function SecureRandom() {}
1326 
1327     SecureRandom.prototype.nextBytes = rng_get_bytes;
1328 // Depends on jsbn.js and rng.js
1329 
1330 // Version 1.1: support utf-8 encoding in pkcs1pad2
1331 
1332 // convert a (hex) string to a bignum object
1333     function parseBigInt(str,r) {
1334         return new BigInteger(str,r);
1335     }
1336 
1337     function linebrk(s,n) {
1338         var ret = "";
1339         var i = 0;
1340         while(i + n < s.length) {
1341             ret += s.substring(i,i+n) + "\n";
1342             i += n;
1343         }
1344         return ret + s.substring(i,s.length);
1345     }
1346 
1347     function byte2Hex(b) {
1348         if(b < 0x10)
1349             return "0" + b.toString(16);
1350         else
1351             return b.toString(16);
1352     }
1353 
1354 // PKCS#1 (type 2, random) pad input string s to n bytes, and return a bigint
1355     function pkcs1pad2(s,n) {
1356         if(n < s.length + 11) { // TODO: fix for utf-8
1357             console.error("Message too long for RSA");
1358             return null;
1359         }
1360         var ba = new Array();
1361         var i = s.length - 1;
1362         while(i >= 0 && n > 0) {
1363             var c = s.charCodeAt(i--);
1364             if(c < 128) { // encode using utf-8
1365                 ba[--n] = c;
1366             }
1367             else if((c > 127) && (c < 2048)) {
1368                 ba[--n] = (c & 63) | 128;
1369                 ba[--n] = (c >> 6) | 192;
1370             }
1371             else {
1372                 ba[--n] = (c & 63) | 128;
1373                 ba[--n] = ((c >> 6) & 63) | 128;
1374                 ba[--n] = (c >> 12) | 224;
1375             }
1376         }
1377         ba[--n] = 0;
1378         var rng = new SecureRandom();
1379         var x = new Array();
1380         while(n > 2) { // random non-zero pad
1381             x[0] = 0;
1382             while(x[0] == 0) rng.nextBytes(x);
1383             ba[--n] = x[0];
1384         }
1385         ba[--n] = 2;
1386         ba[--n] = 0;
1387         return new BigInteger(ba);
1388     }
1389 
1390 // "empty" RSA key constructor
1391     function RSAKey() {
1392         this.n = null;
1393         this.e = 0;
1394         this.d = null;
1395         this.p = null;
1396         this.q = null;
1397         this.dmp1 = null;
1398         this.dmq1 = null;
1399         this.coeff = null;
1400     }
1401 
1402 // Set the public key fields N and e from hex strings
1403     function RSASetPublic(N,E) {
1404         if(N != null && E != null && N.length > 0 && E.length > 0) {
1405             this.n = parseBigInt(N,16);
1406             this.e = parseInt(E,16);
1407         }
1408         else
1409             console.error("Invalid RSA public key");
1410     }
1411 
1412 // Perform raw public operation on "x": return x^e (mod n)
1413     function RSADoPublic(x) {
1414         return x.modPowInt(this.e, this.n);
1415     }
1416 
1417 // Return the PKCS#1 RSA encryption of "text" as an even-length hex string
1418     function RSAEncrypt(text) {
1419         var m = pkcs1pad2(text,(this.n.bitLength()+7)>>3);
1420         if(m == null) return null;
1421         var c = this.doPublic(m);
1422         if(c == null) return null;
1423         var h = c.toString(16);
1424         if((h.length & 1) == 0) return h; else return "0" + h;
1425     }
1426 
1427 // Return the PKCS#1 RSA encryption of "text" as a Base64-encoded string
1428 //function RSAEncryptB64(text) {
1429 //  var h = this.encrypt(text);
1430 //  if(h) return hex2b64(h); else return null;
1431 //}
1432 
1433 // protected
1434     RSAKey.prototype.doPublic = RSADoPublic;
1435 
1436 // public
1437     RSAKey.prototype.setPublic = RSASetPublic;
1438     RSAKey.prototype.encrypt = RSAEncrypt;
1439 //RSAKey.prototype.encrypt_b64 = RSAEncryptB64;
1440 // Depends on rsa.js and jsbn2.js
1441 
1442 // Version 1.1: support utf-8 decoding in pkcs1unpad2
1443 
1444 // Undo PKCS#1 (type 2, random) padding and, if valid, return the plaintext
1445     function pkcs1unpad2(d,n) {
1446         var b = d.toByteArray();
1447         var i = 0;
1448         while(i < b.length && b[i] == 0) ++i;
1449         if(b.length-i != n-1 || b[i] != 2)
1450             return null;
1451         ++i;
1452         while(b[i] != 0)
1453             if(++i >= b.length) return null;
1454         var ret = "";
1455         while(++i < b.length) {
1456             var c = b[i] & 255;
1457             if(c < 128) { // utf-8 decode
1458                 ret += String.fromCharCode(c);
1459             }
1460             else if((c > 191) && (c < 224)) {
1461                 ret += String.fromCharCode(((c & 31) << 6) | (b[i+1] & 63));
1462                 ++i;
1463             }
1464             else {
1465                 ret += String.fromCharCode(((c & 15) << 12) | ((b[i+1] & 63) << 6) | (b[i+2] & 63));
1466                 i += 2;
1467             }
1468         }
1469         return ret;
1470     }
1471 
1472 // Set the private key fields N, e, and d from hex strings
1473     function RSASetPrivate(N,E,D) {
1474         if(N != null && E != null && N.length > 0 && E.length > 0) {
1475             this.n = parseBigInt(N,16);
1476             this.e = parseInt(E,16);
1477             this.d = parseBigInt(D,16);
1478         }
1479         else
1480             console.error("Invalid RSA private key");
1481     }
1482 
1483 // Set the private key fields N, e, d and CRT params from hex strings
1484     function RSASetPrivateEx(N,E,D,P,Q,DP,DQ,C) {
1485         if(N != null && E != null && N.length > 0 && E.length > 0) {
1486             this.n = parseBigInt(N,16);
1487             this.e = parseInt(E,16);
1488             this.d = parseBigInt(D,16);
1489             this.p = parseBigInt(P,16);
1490             this.q = parseBigInt(Q,16);
1491             this.dmp1 = parseBigInt(DP,16);
1492             this.dmq1 = parseBigInt(DQ,16);
1493             this.coeff = parseBigInt(C,16);
1494         }
1495         else
1496             console.error("Invalid RSA private key");
1497     }
1498 
1499 // Generate a new random private key B bits long, using public expt E
1500     function RSAGenerate(B,E) {
1501         var rng = new SecureRandom();
1502         var qs = B>>1;
1503         this.e = parseInt(E,16);
1504         var ee = new BigInteger(E,16);
1505         for(;;) {
1506             for(;;) {
1507                 this.p = new BigInteger(B-qs,1,rng);
1508                 if(this.p.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.p.isProbablePrime(10)) break;
1509             }
1510             for(;;) {
1511                 this.q = new BigInteger(qs,1,rng);
1512                 if(this.q.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.q.isProbablePrime(10)) break;
1513             }
1514             if(this.p.compareTo(this.q) <= 0) {
1515                 var t = this.p;
1516                 this.p = this.q;
1517                 this.q = t;
1518             }
1519             var p1 = this.p.subtract(BigInteger.ONE);
1520             var q1 = this.q.subtract(BigInteger.ONE);
1521             var phi = p1.multiply(q1);
1522             if(phi.gcd(ee).compareTo(BigInteger.ONE) == 0) {
1523                 this.n = this.p.multiply(this.q);
1524                 this.d = ee.modInverse(phi);
1525                 this.dmp1 = this.d.mod(p1);
1526                 this.dmq1 = this.d.mod(q1);
1527                 this.coeff = this.q.modInverse(this.p);
1528                 break;
1529             }
1530         }
1531     }
1532 
1533 // Perform raw private operation on "x": return x^d (mod n)
1534     function RSADoPrivate(x) {
1535         if(this.p == null || this.q == null)
1536             return x.modPow(this.d, this.n);
1537 
1538         // TODO: re-calculate any missing CRT params
1539         var xp = x.mod(this.p).modPow(this.dmp1, this.p);
1540         var xq = x.mod(this.q).modPow(this.dmq1, this.q);
1541 
1542         while(xp.compareTo(xq) < 0)
1543             xp = xp.add(this.p);
1544         return xp.subtract(xq).multiply(this.coeff).mod(this.p).multiply(this.q).add(xq);
1545     }
1546 
1547 // Return the PKCS#1 RSA decryption of "ctext".
1548 // "ctext" is an even-length hex string and the output is a plain string.
1549     function RSADecrypt(ctext) {
1550         var c = parseBigInt(ctext, 16);
1551         var m = this.doPrivate(c);
1552         if(m == null) return null;
1553         return pkcs1unpad2(m, (this.n.bitLength()+7)>>3);
1554     }
1555 
1556 // Return the PKCS#1 RSA decryption of "ctext".
1557 // "ctext" is a Base64-encoded string and the output is a plain string.
1558 //function RSAB64Decrypt(ctext) {
1559 //  var h = b64tohex(ctext);
1560 //  if(h) return this.decrypt(h); else return null;
1561 //}
1562 
1563 // protected
1564     RSAKey.prototype.doPrivate = RSADoPrivate;
1565 
1566 // public
1567     RSAKey.prototype.setPrivate = RSASetPrivate;
1568     RSAKey.prototype.setPrivateEx = RSASetPrivateEx;
1569     RSAKey.prototype.generate = RSAGenerate;
1570     RSAKey.prototype.decrypt = RSADecrypt;
1571 //RSAKey.prototype.b64_decrypt = RSAB64Decrypt;
1572 // Copyright (c) 2011  Kevin M Burns Jr.
1573 // All Rights Reserved.
1574 // See "LICENSE" for details.
1575 //
1576 // Extension to jsbn which adds facilities for asynchronous RSA key generation
1577 // Primarily created to avoid execution timeout on mobile devices
1578 //
1579 // http://www-cs-students.stanford.edu/~tjw/jsbn/
1580 //
1581 // ---
1582 
1583     (function(){
1584 
1585 // Generate a new random private key B bits long, using public expt E
1586         var RSAGenerateAsync = function (B, E, callback) {
1587             //var rng = new SeededRandom();
1588             var rng = new SecureRandom();
1589             var qs = B >> 1;
1590             this.e = parseInt(E, 16);
1591             var ee = new BigInteger(E, 16);
1592             var rsa = this;
1593             // These functions have non-descript names because they were originally for(;;) loops.
1594             // I don't know about cryptography to give them better names than loop1-4.
1595             var loop1 = function() {
1596                 var loop4 = function() {
1597                     if (rsa.p.compareTo(rsa.q) <= 0) {
1598                         var t = rsa.p;
1599                         rsa.p = rsa.q;
1600                         rsa.q = t;
1601                     }
1602                     var p1 = rsa.p.subtract(BigInteger.ONE);
1603                     var q1 = rsa.q.subtract(BigInteger.ONE);
1604                     var phi = p1.multiply(q1);
1605                     if (phi.gcd(ee).compareTo(BigInteger.ONE) == 0) {
1606                         rsa.n = rsa.p.multiply(rsa.q);
1607                         rsa.d = ee.modInverse(phi);
1608                         rsa.dmp1 = rsa.d.mod(p1);
1609                         rsa.dmq1 = rsa.d.mod(q1);
1610                         rsa.coeff = rsa.q.modInverse(rsa.p);
1611                         setTimeout(function(){callback()},0); // escape
1612                     } else {
1613                         setTimeout(loop1,0);
1614                     }
1615                 };
1616                 var loop3 = function() {
1617                     rsa.q = nbi();
1618                     rsa.q.fromNumberAsync(qs, 1, rng, function(){
1619                         rsa.q.subtract(BigInteger.ONE).gcda(ee, function(r){
1620                             if (r.compareTo(BigInteger.ONE) == 0 && rsa.q.isProbablePrime(10)) {
1621                                 setTimeout(loop4,0);
1622                             } else {
1623                                 setTimeout(loop3,0);
1624                             }
1625                         });
1626                     });
1627                 };
1628                 var loop2 = function() {
1629                     rsa.p = nbi();
1630                     rsa.p.fromNumberAsync(B - qs, 1, rng, function(){
1631                         rsa.p.subtract(BigInteger.ONE).gcda(ee, function(r){
1632                             if (r.compareTo(BigInteger.ONE) == 0 && rsa.p.isProbablePrime(10)) {
1633                                 setTimeout(loop3,0);
1634                             } else {
1635                                 setTimeout(loop2,0);
1636                             }
1637                         });
1638                     });
1639                 };
1640                 setTimeout(loop2,0);
1641             };
1642             setTimeout(loop1,0);
1643         };
1644         RSAKey.prototype.generateAsync = RSAGenerateAsync;
1645 
1646 // Public API method
1647         var bnGCDAsync = function (a, callback) {
1648             var x = (this.s < 0) ? this.negate() : this.clone();
1649             var y = (a.s < 0) ? a.negate() : a.clone();
1650             if (x.compareTo(y) < 0) {
1651                 var t = x;
1652                 x = y;
1653                 y = t;
1654             }
1655             var i = x.getLowestSetBit(),
1656                 g = y.getLowestSetBit();
1657             if (g < 0) {
1658                 callback(x);
1659                 return;
1660             }
1661             if (i < g) g = i;
1662             if (g > 0) {
1663                 x.rShiftTo(g, x);
1664                 y.rShiftTo(g, y);
1665             }
1666             // Workhorse of the algorithm, gets called 200 - 800 times per 512 bit keygen.
1667             var gcda1 = function() {
1668                 if ((i = x.getLowestSetBit()) > 0){ x.rShiftTo(i, x); }
1669                 if ((i = y.getLowestSetBit()) > 0){ y.rShiftTo(i, y); }
1670                 if (x.compareTo(y) >= 0) {
1671                     x.subTo(y, x);
1672                     x.rShiftTo(1, x);
1673                 } else {
1674                     y.subTo(x, y);
1675                     y.rShiftTo(1, y);
1676                 }
1677                 if(!(x.signum() > 0)) {
1678                     if (g > 0) y.lShiftTo(g, y);
1679                     setTimeout(function(){callback(y)},0); // escape
1680                 } else {
1681                     setTimeout(gcda1,0);
1682                 }
1683             };
1684             setTimeout(gcda1,10);
1685         };
1686         BigInteger.prototype.gcda = bnGCDAsync;
1687 
1688 // (protected) alternate constructor
1689         var bnpFromNumberAsync = function (a,b,c,callback) {
1690             if("number" == typeof b) {
1691                 if(a < 2) {
1692                     this.fromInt(1);
1693                 } else {
1694                     this.fromNumber(a,c);
1695                     if(!this.testBit(a-1)){
1696                         this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this);
1697                     }
1698                     if(this.isEven()) {
1699                         this.dAddOffset(1,0);
1700                     }
1701                     var bnp = this;
1702                     var bnpfn1 = function(){
1703                         bnp.dAddOffset(2,0);
1704                         if(bnp.bitLength() > a) bnp.subTo(BigInteger.ONE.shiftLeft(a-1),bnp);
1705                         if(bnp.isProbablePrime(b)) {
1706                             setTimeout(function(){callback()},0); // escape
1707                         } else {
1708                             setTimeout(bnpfn1,0);
1709                         }
1710                     };
1711                     setTimeout(bnpfn1,0);
1712                 }
1713             } else {
1714                 var x = new Array(), t = a&7;
1715                 x.length = (a>>3)+1;
1716                 b.nextBytes(x);
1717                 if(t > 0) x[0] &= ((1<<t)-1); else x[0] = 0;
1718                 this.fromString(x,256);
1719             }
1720         };
1721         BigInteger.prototype.fromNumberAsync = bnpFromNumberAsync;
1722 
1723     })();var b64map="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
1724     var b64pad="=";
1725 
1726     function hex2b64(h) {
1727         var i;
1728         var c;
1729         var ret = "";
1730         for(i = 0; i+3 <= h.length; i+=3) {
1731             c = parseInt(h.substring(i,i+3),16);
1732             ret += b64map.charAt(c >> 6) + b64map.charAt(c & 63);
1733         }
1734         if(i+1 == h.length) {
1735             c = parseInt(h.substring(i,i+1),16);
1736             ret += b64map.charAt(c << 2);
1737         }
1738         else if(i+2 == h.length) {
1739             c = parseInt(h.substring(i,i+2),16);
1740             ret += b64map.charAt(c >> 2) + b64map.charAt((c & 3) << 4);
1741         }
1742         while((ret.length & 3) > 0) ret += b64pad;
1743         return ret;
1744     }
1745 
1746 // convert a base64 string to hex
1747     function b64tohex(s) {
1748         var ret = ""
1749         var i;
1750         var k = 0; // b64 state, 0-3
1751         var slop;
1752         for(i = 0; i < s.length; ++i) {
1753             if(s.charAt(i) == b64pad) break;
1754             v = b64map.indexOf(s.charAt(i));
1755             if(v < 0) continue;
1756             if(k == 0) {
1757                 ret += int2char(v >> 2);
1758                 slop = v & 3;
1759                 k = 1;
1760             }
1761             else if(k == 1) {
1762                 ret += int2char((slop << 2) | (v >> 4));
1763                 slop = v & 0xf;
1764                 k = 2;
1765             }
1766             else if(k == 2) {
1767                 ret += int2char(slop);
1768                 ret += int2char(v >> 2);
1769                 slop = v & 3;
1770                 k = 3;
1771             }
1772             else {
1773                 ret += int2char((slop << 2) | (v >> 4));
1774                 ret += int2char(v & 0xf);
1775                 k = 0;
1776             }
1777         }
1778         if(k == 1)
1779             ret += int2char(slop << 2);
1780         return ret;
1781     }
1782 
1783 // convert a base64 string to a byte/number array
1784     function b64toBA(s) {
1785         //piggyback on b64tohex for now, optimize later
1786         var h = b64tohex(s);
1787         var i;
1788         var a = new Array();
1789         for(i = 0; 2*i < h.length; ++i) {
1790             a[i] = parseInt(h.substring(2*i,2*i+2),16);
1791         }
1792         return a;
1793     }
1794     /*! asn1-1.0.2.js (c) 2013 Kenji Urushima | kjur.github.com/jsrsasign/license
1795  */
1796 
1797     var JSX = JSX || {};
1798     JSX.env = JSX.env || {};
1799 
1800     var L = JSX, OP = Object.prototype, FUNCTION_TOSTRING = '[object Function]',ADD = ["toString", "valueOf"];
1801 
1802     JSX.env.parseUA = function(agent) {
1803 
1804         var numberify = function(s) {
1805                 var c = 0;
1806                 return parseFloat(s.replace(/\./g, function() {
1807                     return (c++ == 1) ? '' : '.';
1808                 }));
1809             },
1810 
1811             nav = navigator,
1812             o = {
1813                 ie: 0,
1814                 opera: 0,
1815                 gecko: 0,
1816                 webkit: 0,
1817                 chrome: 0,
1818                 mobile: null,
1819                 air: 0,
1820                 ipad: 0,
1821                 iphone: 0,
1822                 ipod: 0,
1823                 ios: null,
1824                 android: 0,
1825                 webos: 0,
1826                 caja: nav && nav.cajaVersion,
1827                 secure: false,
1828                 os: null
1829 
1830             },
1831 
1832             ua = agent || (navigator && navigator.userAgent),
1833             loc = window && window.location,
1834             href = loc && loc.href,
1835             m;
1836 
1837         o.secure = href && (href.toLowerCase().indexOf("https") === 0);
1838 
1839         if (ua) {
1840 
1841             if ((/windows|win32/i).test(ua)) {
1842                 o.os = 'windows';
1843             } else if ((/macintosh/i).test(ua)) {
1844                 o.os = 'macintosh';
1845             } else if ((/rhino/i).test(ua)) {
1846                 o.os = 'rhino';
1847             }
1848             if ((/KHTML/).test(ua)) {
1849                 o.webkit = 1;
1850             }
1851             m = ua.match(/AppleWebKit\/([^\s]*)/);
1852             if (m && m[1]) {
1853                 o.webkit = numberify(m[1]);
1854                 if (/ Mobile\//.test(ua)) {
1855                     o.mobile = 'Apple'; // iPhone or iPod Touch
1856                     m = ua.match(/OS ([^\s]*)/);
1857                     if (m && m[1]) {
1858                         m = numberify(m[1].replace('_', '.'));
1859                     }
1860                     o.ios = m;
1861                     o.ipad = o.ipod = o.iphone = 0;
1862                     m = ua.match(/iPad|iPod|iPhone/);
1863                     if (m && m[0]) {
1864                         o[m[0].toLowerCase()] = o.ios;
1865                     }
1866                 } else {
1867                     m = ua.match(/NokiaN[^\/]*|Android \d\.\d|webOS\/\d\.\d/);
1868                     if (m) {
1869                         o.mobile = m[0];
1870                     }
1871                     if (/webOS/.test(ua)) {
1872                         o.mobile = 'WebOS';
1873                         m = ua.match(/webOS\/([^\s]*);/);
1874                         if (m && m[1]) {
1875                             o.webos = numberify(m[1]);
1876                         }
1877                     }
1878                     if (/ Android/.test(ua)) {
1879                         o.mobile = 'Android';
1880                         m = ua.match(/Android ([^\s]*);/);
1881                         if (m && m[1]) {
1882                             o.android = numberify(m[1]);
1883                         }
1884                     }
1885                 }
1886                 m = ua.match(/Chrome\/([^\s]*)/);
1887                 if (m && m[1]) {
1888                     o.chrome = numberify(m[1]); // Chrome
1889                 } else {
1890                     m = ua.match(/AdobeAIR\/([^\s]*)/);
1891                     if (m) {
1892                         o.air = m[0]; // Adobe AIR 1.0 or better
1893                     }
1894                 }
1895             }
1896             if (!o.webkit) {
1897                 m = ua.match(/Opera[\s\/]([^\s]*)/);
1898                 if (m && m[1]) {
1899                     o.opera = numberify(m[1]);
1900                     m = ua.match(/Version\/([^\s]*)/);
1901                     if (m && m[1]) {
1902                         o.opera = numberify(m[1]); // opera 10+
1903                     }
1904                     m = ua.match(/Opera Mini[^;]*/);
1905                     if (m) {
1906                         o.mobile = m[0]; // ex: Opera Mini/2.0.4509/1316
1907                     }
1908                 } else { // not opera or webkit
1909                     m = ua.match(/MSIE\s([^;]*)/);
1910                     if (m && m[1]) {
1911                         o.ie = numberify(m[1]);
1912                     } else { // not opera, webkit, or ie
1913                         m = ua.match(/Gecko\/([^\s]*)/);
1914                         if (m) {
1915                             o.gecko = 1; // Gecko detected, look for revision
1916                             m = ua.match(/rv:([^\s\)]*)/);
1917                             if (m && m[1]) {
1918                                 o.gecko = numberify(m[1]);
1919                             }
1920                         }
1921                     }
1922                 }
1923             }
1924         }
1925         return o;
1926     };
1927 
1928     JSX.env.ua = JSX.env.parseUA();
1929 
1930     JSX.isFunction = function(o) {
1931         return (typeof o === 'function') || OP.toString.apply(o) === FUNCTION_TOSTRING;
1932     };
1933 
1934     JSX._IEEnumFix = (JSX.env.ua.ie) ? function(r, s) {
1935         var i, fname, f;
1936         for (i=0;i<ADD.length;i=i+1) {
1937 
1938             fname = ADD[i];
1939             f = s[fname];
1940 
1941             if (L.isFunction(f) && f!=OP[fname]) {
1942                 r[fname]=f;
1943             }
1944         }
1945     } : function(){};
1946 
1947     JSX.extend = function(subc, superc, overrides) {
1948         if (!superc||!subc) {
1949             throw new Error("extend failed, please check that " +
1950                 "all dependencies are included.");
1951         }
1952         var F = function() {}, i;
1953         F.prototype=superc.prototype;
1954         subc.prototype=new F();
1955         subc.prototype.constructor=subc;
1956         subc.superclass=superc.prototype;
1957         if (superc.prototype.constructor == OP.constructor) {
1958             superc.prototype.constructor=superc;
1959         }
1960 
1961         if (overrides) {
1962             for (i in overrides) {
1963                 if (L.hasOwnProperty(overrides, i)) {
1964                     subc.prototype[i]=overrides[i];
1965                 }
1966             }
1967 
1968             L._IEEnumFix(subc.prototype, overrides);
1969         }
1970     };
1971 
1972     /*
1973  * asn1.js - ASN.1 DER encoder classes
1974  *
1975  * Copyright (c) 2013 Kenji Urushima (kenji.urushima@gmail.com)
1976  *
1977  * This software is licensed under the terms of the MIT License.
1978  * http://kjur.github.com/jsrsasign/license
1979  *
1980  * The above copyright and license notice shall be
1981  * included in all copies or substantial portions of the Software.
1982  */
1983 
1984     /**
1985      * @fileOverview
1986      * @name asn1-1.0.js
1987      * @author Kenji Urushima kenji.urushima@gmail.com
1988      * @version 1.0.2 (2013-May-30)
1989      * @since 2.1
1990      * @license <a href="http://kjur.github.io/jsrsasign/license/">MIT License</a>
1991      */
1992 
1993     /**
1994      * kjur's class library name space
1995      * <p>
1996      * This name space provides following name spaces:
1997      * <ul>
1998      * <li>{@link KJUR.asn1} - ASN.1 primitive hexadecimal encoder</li>
1999      * <li>{@link KJUR.asn1.x509} - ASN.1 structure for X.509 certificate and CRL</li>
2000      * <li>{@link KJUR.crypto} - Java Cryptographic Extension(JCE) style MessageDigest/Signature
2001      * class and utilities</li>
2002      * </ul>
2003      * </p>
2004      * NOTE: Please ignore method summary and document of this namespace. This caused by a bug of jsdoc2.
2005      * @name KJUR
2006      * @namespace kjur's class library name space
2007      */
2008     if (typeof KJUR == "undefined" || !KJUR) KJUR = {};
2009 
2010     /**
2011      * kjur's ASN.1 class library name space
2012      * <p>
2013      * This is ITU-T X.690 ASN.1 DER encoder class library and
2014      * class structure and methods is very similar to
2015      * org.bouncycastle.asn1 package of
2016      * well known BouncyCaslte Cryptography Library.
2017      *
2018      * <h4>PROVIDING ASN.1 PRIMITIVES</h4>
2019      * Here are ASN.1 DER primitive classes.
2020      * <ul>
2021      * <li>{@link KJUR.asn1.DERBoolean}</li>
2022      * <li>{@link KJUR.asn1.DERInteger}</li>
2023      * <li>{@link KJUR.asn1.DERBitString}</li>
2024      * <li>{@link KJUR.asn1.DEROctetString}</li>
2025      * <li>{@link KJUR.asn1.DERNull}</li>
2026      * <li>{@link KJUR.asn1.DERObjectIdentifier}</li>
2027      * <li>{@link KJUR.asn1.DERUTF8String}</li>
2028      * <li>{@link KJUR.asn1.DERNumericString}</li>
2029      * <li>{@link KJUR.asn1.DERPrintableString}</li>
2030      * <li>{@link KJUR.asn1.DERTeletexString}</li>
2031      * <li>{@link KJUR.asn1.DERIA5String}</li>
2032      * <li>{@link KJUR.asn1.DERUTCTime}</li>
2033      * <li>{@link KJUR.asn1.DERGeneralizedTime}</li>
2034      * <li>{@link KJUR.asn1.DERSequence}</li>
2035      * <li>{@link KJUR.asn1.DERSet}</li>
2036      * </ul>
2037      *
2038      * <h4>OTHER ASN.1 CLASSES</h4>
2039      * <ul>
2040      * <li>{@link KJUR.asn1.ASN1Object}</li>
2041      * <li>{@link KJUR.asn1.DERAbstractString}</li>
2042      * <li>{@link KJUR.asn1.DERAbstractTime}</li>
2043      * <li>{@link KJUR.asn1.DERAbstractStructured}</li>
2044      * <li>{@link KJUR.asn1.DERTaggedObject}</li>
2045      * </ul>
2046      * </p>
2047      * NOTE: Please ignore method summary and document of this namespace. This caused by a bug of jsdoc2.
2048      * @name KJUR.asn1
2049      * @namespace
2050      */
2051     if (typeof KJUR.asn1 == "undefined" || !KJUR.asn1) KJUR.asn1 = {};
2052 
2053     /**
2054      * ASN1 utilities class
2055      * @name KJUR.asn1.ASN1Util
2056      * @classs ASN1 utilities class
2057      * @since asn1 1.0.2
2058      */
2059     KJUR.asn1.ASN1Util = new function() {
2060         this.integerToByteHex = function(i) {
2061             var h = i.toString(16);
2062             if ((h.length % 2) == 1) h = '0' + h;
2063             return h;
2064         };
2065         this.bigIntToMinTwosComplementsHex = function(bigIntegerValue) {
2066             var h = bigIntegerValue.toString(16);
2067             if (h.substr(0, 1) != '-') {
2068                 if (h.length % 2 == 1) {
2069                     h = '0' + h;
2070                 } else {
2071                     if (! h.match(/^[0-7]/)) {
2072                         h = '00' + h;
2073                     }
2074                 }
2075             } else {
2076                 var hPos = h.substr(1);
2077                 var xorLen = hPos.length;
2078                 if (xorLen % 2 == 1) {
2079                     xorLen += 1;
2080                 } else {
2081                     if (! h.match(/^[0-7]/)) {
2082                         xorLen += 2;
2083                     }
2084                 }
2085                 var hMask = '';
2086                 for (var i = 0; i < xorLen; i++) {
2087                     hMask += 'f';
2088                 }
2089                 var biMask = new BigInteger(hMask, 16);
2090                 var biNeg = biMask.xor(bigIntegerValue).add(BigInteger.ONE);
2091                 h = biNeg.toString(16).replace(/^-/, '');
2092             }
2093             return h;
2094         };
2095         /**
2096          * get PEM string from hexadecimal data and header string
2097          * @name getPEMStringFromHex
2098          * @memberOf KJUR.asn1.ASN1Util
2099          * @function
2100          * @param {String} dataHex hexadecimal string of PEM body
2101          * @param {String} pemHeader PEM header string (ex. 'RSA PRIVATE KEY')
2102          * @return {String} PEM formatted string of input data
2103          * @description
2104          * @example
2105          * var pem  = KJUR.asn1.ASN1Util.getPEMStringFromHex('616161', 'RSA PRIVATE KEY');
2106          * // value of pem will be:
2107          * -----BEGIN PRIVATE KEY-----
2108          * YWFh
2109          * -----END PRIVATE KEY-----
2110          */
2111         this.getPEMStringFromHex = function(dataHex, pemHeader) {
2112             var dataWA = CryptoJS.enc.Hex.parse(dataHex);
2113             var dataB64 = CryptoJS.enc.Base64.stringify(dataWA);
2114             var pemBody = dataB64.replace(/(.{64})/g, "$1\r\n");
2115             pemBody = pemBody.replace(/\r\n$/, '');
2116             return "-----BEGIN " + pemHeader + "-----\r\n" +
2117                 pemBody +
2118                 "\r\n-----END " + pemHeader + "-----\r\n";
2119         };
2120     };
2121 
2122 // ********************************************************************
2123 //  Abstract ASN.1 Classes
2124 // ********************************************************************
2125 
2126 // ********************************************************************
2127 
2128     /**
2129      * base class for ASN.1 DER encoder object
2130      * @name KJUR.asn1.ASN1Object
2131      * @class base class for ASN.1 DER encoder object
2132      * @property {Boolean} isModified flag whether internal data was changed
2133      * @property {String} hTLV hexadecimal string of ASN.1 TLV
2134      * @property {String} hT hexadecimal string of ASN.1 TLV tag(T)
2135      * @property {String} hL hexadecimal string of ASN.1 TLV length(L)
2136      * @property {String} hV hexadecimal string of ASN.1 TLV value(V)
2137      * @description
2138      */
2139     KJUR.asn1.ASN1Object = function() {
2140         var isModified = true;
2141         var hTLV = null;
2142         var hT = '00'
2143         var hL = '00';
2144         var hV = '';
2145 
2146         /**
2147          * get hexadecimal ASN.1 TLV length(L) bytes from TLV value(V)
2148          * @name getLengthHexFromValue
2149          * @memberOf KJUR.asn1.ASN1Object
2150          * @function
2151          * @return {String} hexadecimal string of ASN.1 TLV length(L)
2152          */
2153         this.getLengthHexFromValue = function() {
2154             if (typeof this.hV == "undefined" || this.hV == null) {
2155                 throw "this.hV is null or undefined.";
2156             }
2157             if (this.hV.length % 2 == 1) {
2158                 throw "value hex must be even length: n=" + hV.length + ",v=" + this.hV;
2159             }
2160             var n = this.hV.length / 2;
2161             var hN = n.toString(16);
2162             if (hN.length % 2 == 1) {
2163                 hN = "0" + hN;
2164             }
2165             if (n < 128) {
2166                 return hN;
2167             } else {
2168                 var hNlen = hN.length / 2;
2169                 if (hNlen > 15) {
2170                     throw "ASN.1 length too long to represent by 8x: n = " + n.toString(16);
2171                 }
2172                 var head = 128 + hNlen;
2173                 return head.toString(16) + hN;
2174             }
2175         };
2176 
2177         /**
2178          * get hexadecimal string of ASN.1 TLV bytes
2179          * @name getEncodedHex
2180          * @memberOf KJUR.asn1.ASN1Object
2181          * @function
2182          * @return {String} hexadecimal string of ASN.1 TLV
2183          */
2184         this.getEncodedHex = function() {
2185             if (this.hTLV == null || this.isModified) {
2186                 this.hV = this.getFreshValueHex();
2187                 this.hL = this.getLengthHexFromValue();
2188                 this.hTLV = this.hT + this.hL + this.hV;
2189                 this.isModified = false;
2190                 //console.error("first time: " + this.hTLV);
2191             }
2192             return this.hTLV;
2193         };
2194 
2195         /**
2196          * get hexadecimal string of ASN.1 TLV value(V) bytes
2197          * @name getValueHex
2198          * @memberOf KJUR.asn1.ASN1Object
2199          * @function
2200          * @return {String} hexadecimal string of ASN.1 TLV value(V) bytes
2201          */
2202         this.getValueHex = function() {
2203             this.getEncodedHex();
2204             return this.hV;
2205         }
2206 
2207         this.getFreshValueHex = function() {
2208             return '';
2209         };
2210     };
2211 
2212 // == BEGIN DERAbstractString ================================================
2213     /**
2214      * base class for ASN.1 DER string classes
2215      * @name KJUR.asn1.DERAbstractString
2216      * @class base class for ASN.1 DER string classes
2217      * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
2218      * @property {String} s internal string of value
2219      * @extends KJUR.asn1.ASN1Object
2220      * @description
2221      * <br/>
2222      * As for argument 'params' for constructor, you can specify one of
2223      * following properties:
2224      * <ul>
2225      * <li>str - specify initial ASN.1 value(V) by a string</li>
2226      * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
2227      * </ul>
2228      * NOTE: 'params' can be omitted.
2229      */
2230     KJUR.asn1.DERAbstractString = function(params) {
2231         KJUR.asn1.DERAbstractString.superclass.constructor.call(this);
2232         var s = null;
2233         var hV = null;
2234 
2235         /**
2236          * get string value of this string object
2237          * @name getString
2238          * @memberOf KJUR.asn1.DERAbstractString
2239          * @function
2240          * @return {String} string value of this string object
2241          */
2242         this.getString = function() {
2243             return this.s;
2244         };
2245 
2246         /**
2247          * set value by a string
2248          * @name setString
2249          * @memberOf KJUR.asn1.DERAbstractString
2250          * @function
2251          * @param {String} newS value by a string to set
2252          */
2253         this.setString = function(newS) {
2254             this.hTLV = null;
2255             this.isModified = true;
2256             this.s = newS;
2257             this.hV = stohex(this.s);
2258         };
2259 
2260         /**
2261          * set value by a hexadecimal string
2262          * @name setStringHex
2263          * @memberOf KJUR.asn1.DERAbstractString
2264          * @function
2265          * @param {String} newHexString value by a hexadecimal string to set
2266          */
2267         this.setStringHex = function(newHexString) {
2268             this.hTLV = null;
2269             this.isModified = true;
2270             this.s = null;
2271             this.hV = newHexString;
2272         };
2273 
2274         this.getFreshValueHex = function() {
2275             return this.hV;
2276         };
2277 
2278         if (typeof params != "undefined") {
2279             if (typeof params['str'] != "undefined") {
2280                 this.setString(params['str']);
2281             } else if (typeof params['hex'] != "undefined") {
2282                 this.setStringHex(params['hex']);
2283             }
2284         }
2285     };
2286     JSX.extend(KJUR.asn1.DERAbstractString, KJUR.asn1.ASN1Object);
2287 // == END   DERAbstractString ================================================
2288 
2289 // == BEGIN DERAbstractTime ==================================================
2290     /**
2291      * base class for ASN.1 DER Generalized/UTCTime class
2292      * @name KJUR.asn1.DERAbstractTime
2293      * @class base class for ASN.1 DER Generalized/UTCTime class
2294      * @param {Array} params associative array of parameters (ex. {'str': '130430235959Z'})
2295      * @extends KJUR.asn1.ASN1Object
2296      * @description
2297      * @see KJUR.asn1.ASN1Object - superclass
2298      */
2299     KJUR.asn1.DERAbstractTime = function(params) {
2300         KJUR.asn1.DERAbstractTime.superclass.constructor.call(this);
2301         var s = null;
2302         var date = null;
2303 
2304         // --- PRIVATE METHODS --------------------
2305         this.localDateToUTC = function(d) {
2306             utc = d.getTime() + (d.getTimezoneOffset() * 60000);
2307             var utcDate = new Date(utc);
2308             return utcDate;
2309         };
2310 
2311         this.formatDate = function(dateObject, type) {
2312             var pad = this.zeroPadding;
2313             var d = this.localDateToUTC(dateObject);
2314             var year = String(d.getFullYear());
2315             if (type == 'utc') year = year.substr(2, 2);
2316             var month = pad(String(d.getMonth() + 1), 2);
2317             var day = pad(String(d.getDate()), 2);
2318             var hour = pad(String(d.getHours()), 2);
2319             var min = pad(String(d.getMinutes()), 2);
2320             var sec = pad(String(d.getSeconds()), 2);
2321             return year + month + day + hour + min + sec + 'Z';
2322         };
2323 
2324         this.zeroPadding = function(s, len) {
2325             if (s.length >= len) return s;
2326             return new Array(len - s.length + 1).join('0') + s;
2327         };
2328 
2329         // --- PUBLIC METHODS --------------------
2330         /**
2331          * get string value of this string object
2332          * @name getString
2333          * @memberOf KJUR.asn1.DERAbstractTime
2334          * @function
2335          * @return {String} string value of this time object
2336          */
2337         this.getString = function() {
2338             return this.s;
2339         };
2340 
2341         /**
2342          * set value by a string
2343          * @name setString
2344          * @memberOf KJUR.asn1.DERAbstractTime
2345          * @function
2346          * @param {String} newS value by a string to set such like "130430235959Z"
2347          */
2348         this.setString = function(newS) {
2349             this.hTLV = null;
2350             this.isModified = true;
2351             this.s = newS;
2352             this.hV = stohex(this.s);
2353         };
2354 
2355         /**
2356          * set value by a Date object
2357          * @name setByDateValue
2358          * @memberOf KJUR.asn1.DERAbstractTime
2359          * @function
2360          * @param {Integer} year year of date (ex. 2013)
2361          * @param {Integer} month month of date between 1 and 12 (ex. 12)
2362          * @param {Integer} day day of month
2363          * @param {Integer} hour hours of date
2364          * @param {Integer} min minutes of date
2365          * @param {Integer} sec seconds of date
2366          */
2367         this.setByDateValue = function(year, month, day, hour, min, sec) {
2368             var dateObject = new Date(Date.UTC(year, month - 1, day, hour, min, sec, 0));
2369             this.setByDate(dateObject);
2370         };
2371 
2372         this.getFreshValueHex = function() {
2373             return this.hV;
2374         };
2375     };
2376     JSX.extend(KJUR.asn1.DERAbstractTime, KJUR.asn1.ASN1Object);
2377 // == END   DERAbstractTime ==================================================
2378 
2379 // == BEGIN DERAbstractStructured ============================================
2380     /**
2381      * base class for ASN.1 DER structured class
2382      * @name KJUR.asn1.DERAbstractStructured
2383      * @class base class for ASN.1 DER structured class
2384      * @property {Array} asn1Array internal array of ASN1Object
2385      * @extends KJUR.asn1.ASN1Object
2386      * @description
2387      * @see KJUR.asn1.ASN1Object - superclass
2388      */
2389     KJUR.asn1.DERAbstractStructured = function(params) {
2390         KJUR.asn1.DERAbstractString.superclass.constructor.call(this);
2391         var asn1Array = null;
2392 
2393         /**
2394          * set value by array of ASN1Object
2395          * @name setByASN1ObjectArray
2396          * @memberOf KJUR.asn1.DERAbstractStructured
2397          * @function
2398          * @param {array} asn1ObjectArray array of ASN1Object to set
2399          */
2400         this.setByASN1ObjectArray = function(asn1ObjectArray) {
2401             this.hTLV = null;
2402             this.isModified = true;
2403             this.asn1Array = asn1ObjectArray;
2404         };
2405 
2406         /**
2407          * append an ASN1Object to internal array
2408          * @name appendASN1Object
2409          * @memberOf KJUR.asn1.DERAbstractStructured
2410          * @function
2411          * @param {ASN1Object} asn1Object to add
2412          */
2413         this.appendASN1Object = function(asn1Object) {
2414             this.hTLV = null;
2415             this.isModified = true;
2416             this.asn1Array.push(asn1Object);
2417         };
2418 
2419         this.asn1Array = new Array();
2420         if (typeof params != "undefined") {
2421             if (typeof params['array'] != "undefined") {
2422                 this.asn1Array = params['array'];
2423             }
2424         }
2425     };
2426     JSX.extend(KJUR.asn1.DERAbstractStructured, KJUR.asn1.ASN1Object);
2427 
2428 
2429 // ********************************************************************
2430 //  ASN.1 Object Classes
2431 // ********************************************************************
2432 
2433 // ********************************************************************
2434     /**
2435      * class for ASN.1 DER Boolean
2436      * @name KJUR.asn1.DERBoolean
2437      * @class class for ASN.1 DER Boolean
2438      * @extends KJUR.asn1.ASN1Object
2439      * @description
2440      * @see KJUR.asn1.ASN1Object - superclass
2441      */
2442     KJUR.asn1.DERBoolean = function() {
2443         KJUR.asn1.DERBoolean.superclass.constructor.call(this);
2444         this.hT = "01";
2445         this.hTLV = "0101ff";
2446     };
2447     JSX.extend(KJUR.asn1.DERBoolean, KJUR.asn1.ASN1Object);
2448 
2449 // ********************************************************************
2450     /**
2451      * class for ASN.1 DER Integer
2452      * @name KJUR.asn1.DERInteger
2453      * @class class for ASN.1 DER Integer
2454      * @extends KJUR.asn1.ASN1Object
2455      * @description
2456      * <br/>
2457      * As for argument 'params' for constructor, you can specify one of
2458      * following properties:
2459      * <ul>
2460      * <li>int - specify initial ASN.1 value(V) by integer value</li>
2461      * <li>bigint - specify initial ASN.1 value(V) by BigInteger object</li>
2462      * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
2463      * </ul>
2464      * NOTE: 'params' can be omitted.
2465      */
2466     KJUR.asn1.DERInteger = function(params) {
2467         KJUR.asn1.DERInteger.superclass.constructor.call(this);
2468         this.hT = "02";
2469 
2470         /**
2471          * set value by Tom Wu's BigInteger object
2472          * @name setByBigInteger
2473          * @memberOf KJUR.asn1.DERInteger
2474          * @function
2475          * @param {BigInteger} bigIntegerValue to set
2476          */
2477         this.setByBigInteger = function(bigIntegerValue) {
2478             this.hTLV = null;
2479             this.isModified = true;
2480             this.hV = KJUR.asn1.ASN1Util.bigIntToMinTwosComplementsHex(bigIntegerValue);
2481         };
2482 
2483         /**
2484          * set value by integer value
2485          * @name setByInteger
2486          * @memberOf KJUR.asn1.DERInteger
2487          * @function
2488          * @param {Integer} integer value to set
2489          */
2490         this.setByInteger = function(intValue) {
2491             var bi = new BigInteger(String(intValue), 10);
2492             this.setByBigInteger(bi);
2493         };
2494 
2495         /**
2496          * set value by integer value
2497          * @name setValueHex
2498          * @memberOf KJUR.asn1.DERInteger
2499          * @function
2500          * @param {String} hexadecimal string of integer value
2501          * @description
2502          * <br/>
2503          * NOTE: Value shall be represented by minimum octet length of
2504          * two's complement representation.
2505          */
2506         this.setValueHex = function(newHexString) {
2507             this.hV = newHexString;
2508         };
2509 
2510         this.getFreshValueHex = function() {
2511             return this.hV;
2512         };
2513 
2514         if (typeof params != "undefined") {
2515             if (typeof params['bigint'] != "undefined") {
2516                 this.setByBigInteger(params['bigint']);
2517             } else if (typeof params['int'] != "undefined") {
2518                 this.setByInteger(params['int']);
2519             } else if (typeof params['hex'] != "undefined") {
2520                 this.setValueHex(params['hex']);
2521             }
2522         }
2523     };
2524     JSX.extend(KJUR.asn1.DERInteger, KJUR.asn1.ASN1Object);
2525 
2526 // ********************************************************************
2527     /**
2528      * class for ASN.1 DER encoded BitString primitive
2529      * @name KJUR.asn1.DERBitString
2530      * @class class for ASN.1 DER encoded BitString primitive
2531      * @extends KJUR.asn1.ASN1Object
2532      * @description
2533      * <br/>
2534      * As for argument 'params' for constructor, you can specify one of
2535      * following properties:
2536      * <ul>
2537      * <li>bin - specify binary string (ex. '10111')</li>
2538      * <li>array - specify array of boolean (ex. [true,false,true,true])</li>
2539      * <li>hex - specify hexadecimal string of ASN.1 value(V) including unused bits</li>
2540      * </ul>
2541      * NOTE: 'params' can be omitted.
2542      */
2543     KJUR.asn1.DERBitString = function(params) {
2544         KJUR.asn1.DERBitString.superclass.constructor.call(this);
2545         this.hT = "03";
2546 
2547         /**
2548          * set ASN.1 value(V) by a hexadecimal string including unused bits
2549          * @name setHexValueIncludingUnusedBits
2550          * @memberOf KJUR.asn1.DERBitString
2551          * @function
2552          * @param {String} newHexStringIncludingUnusedBits
2553          */
2554         this.setHexValueIncludingUnusedBits = function(newHexStringIncludingUnusedBits) {
2555             this.hTLV = null;
2556             this.isModified = true;
2557             this.hV = newHexStringIncludingUnusedBits;
2558         };
2559 
2560         /**
2561          * set ASN.1 value(V) by unused bit and hexadecimal string of value
2562          * @name setUnusedBitsAndHexValue
2563          * @memberOf KJUR.asn1.DERBitString
2564          * @function
2565          * @param {Integer} unusedBits
2566          * @param {String} hValue
2567          */
2568         this.setUnusedBitsAndHexValue = function(unusedBits, hValue) {
2569             if (unusedBits < 0 || 7 < unusedBits) {
2570                 throw "unused bits shall be from 0 to 7: u = " + unusedBits;
2571             }
2572             var hUnusedBits = "0" + unusedBits;
2573             this.hTLV = null;
2574             this.isModified = true;
2575             this.hV = hUnusedBits + hValue;
2576         };
2577 
2578         /**
2579          * set ASN.1 DER BitString by binary string
2580          * @name setByBinaryString
2581          * @memberOf KJUR.asn1.DERBitString
2582          * @function
2583          * @param {String} binaryString binary value string (i.e. '10111')
2584          * @description
2585          * Its unused bits will be calculated automatically by length of
2586          * 'binaryValue'. <br/>
2587          * NOTE: Trailing zeros '0' will be ignored.
2588          */
2589         this.setByBinaryString = function(binaryString) {
2590             binaryString = binaryString.replace(/0+$/, '');
2591             var unusedBits = 8 - binaryString.length % 8;
2592             if (unusedBits == 8) unusedBits = 0;
2593             for (var i = 0; i <= unusedBits; i++) {
2594                 binaryString += '0';
2595             }
2596             var h = '';
2597             for (var i = 0; i < binaryString.length - 1; i += 8) {
2598                 var b = binaryString.substr(i, 8);
2599                 var x = parseInt(b, 2).toString(16);
2600                 if (x.length == 1) x = '0' + x;
2601                 h += x;
2602             }
2603             this.hTLV = null;
2604             this.isModified = true;
2605             this.hV = '0' + unusedBits + h;
2606         };
2607 
2608         /**
2609          * set ASN.1 TLV value(V) by an array of boolean
2610          * @name setByBooleanArray
2611          * @memberOf KJUR.asn1.DERBitString
2612          * @function
2613          * @param {array} booleanArray array of boolean (ex. [true, false, true])
2614          * @description
2615          * NOTE: Trailing falses will be ignored.
2616          */
2617         this.setByBooleanArray = function(booleanArray) {
2618             var s = '';
2619             for (var i = 0; i < booleanArray.length; i++) {
2620                 if (booleanArray[i] == true) {
2621                     s += '1';
2622                 } else {
2623                     s += '0';
2624                 }
2625             }
2626             this.setByBinaryString(s);
2627         };
2628 
2629         /**
2630          * generate an array of false with specified length
2631          * @name newFalseArray
2632          * @memberOf KJUR.asn1.DERBitString
2633          * @function
2634          * @param {Integer} nLength length of array to generate
2635          * @return {array} array of boolean faluse
2636          * @description
2637          * This static method may be useful to initialize boolean array.
2638          */
2639         this.newFalseArray = function(nLength) {
2640             var a = new Array(nLength);
2641             for (var i = 0; i < nLength; i++) {
2642                 a[i] = false;
2643             }
2644             return a;
2645         };
2646 
2647         this.getFreshValueHex = function() {
2648             return this.hV;
2649         };
2650 
2651         if (typeof params != "undefined") {
2652             if (typeof params['hex'] != "undefined") {
2653                 this.setHexValueIncludingUnusedBits(params['hex']);
2654             } else if (typeof params['bin'] != "undefined") {
2655                 this.setByBinaryString(params['bin']);
2656             } else if (typeof params['array'] != "undefined") {
2657                 this.setByBooleanArray(params['array']);
2658             }
2659         }
2660     };
2661     JSX.extend(KJUR.asn1.DERBitString, KJUR.asn1.ASN1Object);
2662 
2663 // ********************************************************************
2664     /**
2665      * class for ASN.1 DER OctetString
2666      * @name KJUR.asn1.DEROctetString
2667      * @class class for ASN.1 DER OctetString
2668      * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
2669      * @extends KJUR.asn1.DERAbstractString
2670      * @description
2671      * @see KJUR.asn1.DERAbstractString - superclass
2672      */
2673     KJUR.asn1.DEROctetString = function(params) {
2674         KJUR.asn1.DEROctetString.superclass.constructor.call(this, params);
2675         this.hT = "04";
2676     };
2677     JSX.extend(KJUR.asn1.DEROctetString, KJUR.asn1.DERAbstractString);
2678 
2679 // ********************************************************************
2680     /**
2681      * class for ASN.1 DER Null
2682      * @name KJUR.asn1.DERNull
2683      * @class class for ASN.1 DER Null
2684      * @extends KJUR.asn1.ASN1Object
2685      * @description
2686      * @see KJUR.asn1.ASN1Object - superclass
2687      */
2688     KJUR.asn1.DERNull = function() {
2689         KJUR.asn1.DERNull.superclass.constructor.call(this);
2690         this.hT = "05";
2691         this.hTLV = "0500";
2692     };
2693     JSX.extend(KJUR.asn1.DERNull, KJUR.asn1.ASN1Object);
2694 
2695 // ********************************************************************
2696     /**
2697      * class for ASN.1 DER ObjectIdentifier
2698      * @name KJUR.asn1.DERObjectIdentifier
2699      * @class class for ASN.1 DER ObjectIdentifier
2700      * @param {Array} params associative array of parameters (ex. {'oid': '2.5.4.5'})
2701      * @extends KJUR.asn1.ASN1Object
2702      * @description
2703      * <br/>
2704      * As for argument 'params' for constructor, you can specify one of
2705      * following properties:
2706      * <ul>
2707      * <li>oid - specify initial ASN.1 value(V) by a oid string (ex. 2.5.4.13)</li>
2708      * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
2709      * </ul>
2710      * NOTE: 'params' can be omitted.
2711      */
2712     KJUR.asn1.DERObjectIdentifier = function(params) {
2713         var itox = function(i) {
2714             var h = i.toString(16);
2715             if (h.length == 1) h = '0' + h;
2716             return h;
2717         };
2718         var roidtox = function(roid) {
2719             var h = '';
2720             var bi = new BigInteger(roid, 10);
2721             var b = bi.toString(2);
2722             var padLen = 7 - b.length % 7;
2723             if (padLen == 7) padLen = 0;
2724             var bPad = '';
2725             for (var i = 0; i < padLen; i++) bPad += '0';
2726             b = bPad + b;
2727             for (var i = 0; i < b.length - 1; i += 7) {
2728                 var b8 = b.substr(i, 7);
2729                 if (i != b.length - 7) b8 = '1' + b8;
2730                 h += itox(parseInt(b8, 2));
2731             }
2732             return h;
2733         }
2734 
2735         KJUR.asn1.DERObjectIdentifier.superclass.constructor.call(this);
2736         this.hT = "06";
2737 
2738         /**
2739          * set value by a hexadecimal string
2740          * @name setValueHex
2741          * @memberOf KJUR.asn1.DERObjectIdentifier
2742          * @function
2743          * @param {String} newHexString hexadecimal value of OID bytes
2744          */
2745         this.setValueHex = function(newHexString) {
2746             this.hTLV = null;
2747             this.isModified = true;
2748             this.s = null;
2749             this.hV = newHexString;
2750         };
2751 
2752         /**
2753          * set value by a OID string
2754          * @name setValueOidString
2755          * @memberOf KJUR.asn1.DERObjectIdentifier
2756          * @function
2757          * @param {String} oidString OID string (ex. 2.5.4.13)
2758          */
2759         this.setValueOidString = function(oidString) {
2760             if (! oidString.match(/^[0-9.]+$/)) {
2761                 throw "malformed oid string: " + oidString;
2762             }
2763             var h = '';
2764             var a = oidString.split('.');
2765             var i0 = parseInt(a[0]) * 40 + parseInt(a[1]);
2766             h += itox(i0);
2767             a.splice(0, 2);
2768             for (var i = 0; i < a.length; i++) {
2769                 h += roidtox(a[i]);
2770             }
2771             this.hTLV = null;
2772             this.isModified = true;
2773             this.s = null;
2774             this.hV = h;
2775         };
2776 
2777         /**
2778          * set value by a OID name
2779          * @name setValueName
2780          * @memberOf KJUR.asn1.DERObjectIdentifier
2781          * @function
2782          * @param {String} oidName OID name (ex. 'serverAuth')
2783          * @since 1.0.1
2784          * @description
2785          * OID name shall be defined in 'KJUR.asn1.x509.OID.name2oidList'.
2786          * Otherwise raise error.
2787          */
2788         this.setValueName = function(oidName) {
2789             if (typeof KJUR.asn1.x509.OID.name2oidList[oidName] != "undefined") {
2790                 var oid = KJUR.asn1.x509.OID.name2oidList[oidName];
2791                 this.setValueOidString(oid);
2792             } else {
2793                 throw "DERObjectIdentifier oidName undefined: " + oidName;
2794             }
2795         };
2796 
2797         this.getFreshValueHex = function() {
2798             return this.hV;
2799         };
2800 
2801         if (typeof params != "undefined") {
2802             if (typeof params['oid'] != "undefined") {
2803                 this.setValueOidString(params['oid']);
2804             } else if (typeof params['hex'] != "undefined") {
2805                 this.setValueHex(params['hex']);
2806             } else if (typeof params['name'] != "undefined") {
2807                 this.setValueName(params['name']);
2808             }
2809         }
2810     };
2811     JSX.extend(KJUR.asn1.DERObjectIdentifier, KJUR.asn1.ASN1Object);
2812 
2813 // ********************************************************************
2814     /**
2815      * class for ASN.1 DER UTF8String
2816      * @name KJUR.asn1.DERUTF8String
2817      * @class class for ASN.1 DER UTF8String
2818      * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
2819      * @extends KJUR.asn1.DERAbstractString
2820      * @description
2821      * @see KJUR.asn1.DERAbstractString - superclass
2822      */
2823     KJUR.asn1.DERUTF8String = function(params) {
2824         KJUR.asn1.DERUTF8String.superclass.constructor.call(this, params);
2825         this.hT = "0c";
2826     };
2827     JSX.extend(KJUR.asn1.DERUTF8String, KJUR.asn1.DERAbstractString);
2828 
2829 // ********************************************************************
2830     /**
2831      * class for ASN.1 DER NumericString
2832      * @name KJUR.asn1.DERNumericString
2833      * @class class for ASN.1 DER NumericString
2834      * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
2835      * @extends KJUR.asn1.DERAbstractString
2836      * @description
2837      * @see KJUR.asn1.DERAbstractString - superclass
2838      */
2839     KJUR.asn1.DERNumericString = function(params) {
2840         KJUR.asn1.DERNumericString.superclass.constructor.call(this, params);
2841         this.hT = "12";
2842     };
2843     JSX.extend(KJUR.asn1.DERNumericString, KJUR.asn1.DERAbstractString);
2844 
2845 // ********************************************************************
2846     /**
2847      * class for ASN.1 DER PrintableString
2848      * @name KJUR.asn1.DERPrintableString
2849      * @class class for ASN.1 DER PrintableString
2850      * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
2851      * @extends KJUR.asn1.DERAbstractString
2852      * @description
2853      * @see KJUR.asn1.DERAbstractString - superclass
2854      */
2855     KJUR.asn1.DERPrintableString = function(params) {
2856         KJUR.asn1.DERPrintableString.superclass.constructor.call(this, params);
2857         this.hT = "13";
2858     };
2859     JSX.extend(KJUR.asn1.DERPrintableString, KJUR.asn1.DERAbstractString);
2860 
2861 // ********************************************************************
2862     /**
2863      * class for ASN.1 DER TeletexString
2864      * @name KJUR.asn1.DERTeletexString
2865      * @class class for ASN.1 DER TeletexString
2866      * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
2867      * @extends KJUR.asn1.DERAbstractString
2868      * @description
2869      * @see KJUR.asn1.DERAbstractString - superclass
2870      */
2871     KJUR.asn1.DERTeletexString = function(params) {
2872         KJUR.asn1.DERTeletexString.superclass.constructor.call(this, params);
2873         this.hT = "14";
2874     };
2875     JSX.extend(KJUR.asn1.DERTeletexString, KJUR.asn1.DERAbstractString);
2876 
2877 // ********************************************************************
2878     /**
2879      * class for ASN.1 DER IA5String
2880      * @name KJUR.asn1.DERIA5String
2881      * @class class for ASN.1 DER IA5String
2882      * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
2883      * @extends KJUR.asn1.DERAbstractString
2884      * @description
2885      * @see KJUR.asn1.DERAbstractString - superclass
2886      */
2887     KJUR.asn1.DERIA5String = function(params) {
2888         KJUR.asn1.DERIA5String.superclass.constructor.call(this, params);
2889         this.hT = "16";
2890     };
2891     JSX.extend(KJUR.asn1.DERIA5String, KJUR.asn1.DERAbstractString);
2892 
2893 // ********************************************************************
2894     /**
2895      * class for ASN.1 DER UTCTime
2896      * @name KJUR.asn1.DERUTCTime
2897      * @class class for ASN.1 DER UTCTime
2898      * @param {Array} params associative array of parameters (ex. {'str': '130430235959Z'})
2899      * @extends KJUR.asn1.DERAbstractTime
2900      * @description
2901      * <br/>
2902      * As for argument 'params' for constructor, you can specify one of
2903      * following properties:
2904      * <ul>
2905      * <li>str - specify initial ASN.1 value(V) by a string (ex.'130430235959Z')</li>
2906      * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
2907      * <li>date - specify Date object.</li>
2908      * </ul>
2909      * NOTE: 'params' can be omitted.
2910      * <h4>EXAMPLES</h4>
2911      * @example
2912      * var d1 = new KJUR.asn1.DERUTCTime();
2913      * d1.setString('130430125959Z');
2914      *
2915      * var d2 = new KJUR.asn1.DERUTCTime({'str': '130430125959Z'});
2916      *
2917      * var d3 = new KJUR.asn1.DERUTCTime({'date': new Date(Date.UTC(2015, 0, 31, 0, 0, 0, 0))});
2918      */
2919     KJUR.asn1.DERUTCTime = function(params) {
2920         KJUR.asn1.DERUTCTime.superclass.constructor.call(this, params);
2921         this.hT = "17";
2922 
2923         /**
2924          * set value by a Date object
2925          * @name setByDate
2926          * @memberOf KJUR.asn1.DERUTCTime
2927          * @function
2928          * @param {Date} dateObject Date object to set ASN.1 value(V)
2929          */
2930         this.setByDate = function(dateObject) {
2931             this.hTLV = null;
2932             this.isModified = true;
2933             this.date = dateObject;
2934             this.s = this.formatDate(this.date, 'utc');
2935             this.hV = stohex(this.s);
2936         };
2937 
2938         if (typeof params != "undefined") {
2939             if (typeof params['str'] != "undefined") {
2940                 this.setString(params['str']);
2941             } else if (typeof params['hex'] != "undefined") {
2942                 this.setStringHex(params['hex']);
2943             } else if (typeof params['date'] != "undefined") {
2944                 this.setByDate(params['date']);
2945             }
2946         }
2947     };
2948     JSX.extend(KJUR.asn1.DERUTCTime, KJUR.asn1.DERAbstractTime);
2949 
2950 // ********************************************************************
2951     /**
2952      * class for ASN.1 DER GeneralizedTime
2953      * @name KJUR.asn1.DERGeneralizedTime
2954      * @class class for ASN.1 DER GeneralizedTime
2955      * @param {Array} params associative array of parameters (ex. {'str': '20130430235959Z'})
2956      * @extends KJUR.asn1.DERAbstractTime
2957      * @description
2958      * <br/>
2959      * As for argument 'params' for constructor, you can specify one of
2960      * following properties:
2961      * <ul>
2962      * <li>str - specify initial ASN.1 value(V) by a string (ex.'20130430235959Z')</li>
2963      * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
2964      * <li>date - specify Date object.</li>
2965      * </ul>
2966      * NOTE: 'params' can be omitted.
2967      */
2968     KJUR.asn1.DERGeneralizedTime = function(params) {
2969         KJUR.asn1.DERGeneralizedTime.superclass.constructor.call(this, params);
2970         this.hT = "18";
2971 
2972         /**
2973          * set value by a Date object
2974          * @name setByDate
2975          * @memberOf KJUR.asn1.DERGeneralizedTime
2976          * @function
2977          * @param {Date} dateObject Date object to set ASN.1 value(V)
2978          * @example
2979          * When you specify UTC time, use 'Date.UTC' method like this:<br/>
2980          * var o = new DERUTCTime();
2981          * var date = new Date(Date.UTC(2015, 0, 31, 23, 59, 59, 0)); #2015JAN31 23:59:59
2982          * o.setByDate(date);
2983          */
2984         this.setByDate = function(dateObject) {
2985             this.hTLV = null;
2986             this.isModified = true;
2987             this.date = dateObject;
2988             this.s = this.formatDate(this.date, 'gen');
2989             this.hV = stohex(this.s);
2990         };
2991 
2992         if (typeof params != "undefined") {
2993             if (typeof params['str'] != "undefined") {
2994                 this.setString(params['str']);
2995             } else if (typeof params['hex'] != "undefined") {
2996                 this.setStringHex(params['hex']);
2997             } else if (typeof params['date'] != "undefined") {
2998                 this.setByDate(params['date']);
2999             }
3000         }
3001     };
3002     JSX.extend(KJUR.asn1.DERGeneralizedTime, KJUR.asn1.DERAbstractTime);
3003 
3004 // ********************************************************************
3005     /**
3006      * class for ASN.1 DER Sequence
3007      * @name KJUR.asn1.DERSequence
3008      * @class class for ASN.1 DER Sequence
3009      * @extends KJUR.asn1.DERAbstractStructured
3010      * @description
3011      * <br/>
3012      * As for argument 'params' for constructor, you can specify one of
3013      * following properties:
3014      * <ul>
3015      * <li>array - specify array of ASN1Object to set elements of content</li>
3016      * </ul>
3017      * NOTE: 'params' can be omitted.
3018      */
3019     KJUR.asn1.DERSequence = function(params) {
3020         KJUR.asn1.DERSequence.superclass.constructor.call(this, params);
3021         this.hT = "30";
3022         this.getFreshValueHex = function() {
3023             var h = '';
3024             for (var i = 0; i < this.asn1Array.length; i++) {
3025                 var asn1Obj = this.asn1Array[i];
3026                 h += asn1Obj.getEncodedHex();
3027             }
3028             this.hV = h;
3029             return this.hV;
3030         };
3031     };
3032     JSX.extend(KJUR.asn1.DERSequence, KJUR.asn1.DERAbstractStructured);
3033 
3034 // ********************************************************************
3035     /**
3036      * class for ASN.1 DER Set
3037      * @name KJUR.asn1.DERSet
3038      * @class class for ASN.1 DER Set
3039      * @extends KJUR.asn1.DERAbstractStructured
3040      * @description
3041      * <br/>
3042      * As for argument 'params' for constructor, you can specify one of
3043      * following properties:
3044      * <ul>
3045      * <li>array - specify array of ASN1Object to set elements of content</li>
3046      * </ul>
3047      * NOTE: 'params' can be omitted.
3048      */
3049     KJUR.asn1.DERSet = function(params) {
3050         KJUR.asn1.DERSet.superclass.constructor.call(this, params);
3051         this.hT = "31";
3052         this.getFreshValueHex = function() {
3053             var a = new Array();
3054             for (var i = 0; i < this.asn1Array.length; i++) {
3055                 var asn1Obj = this.asn1Array[i];
3056                 a.push(asn1Obj.getEncodedHex());
3057             }
3058             a.sort();
3059             this.hV = a.join('');
3060             return this.hV;
3061         };
3062     };
3063     JSX.extend(KJUR.asn1.DERSet, KJUR.asn1.DERAbstractStructured);
3064 
3065 // ********************************************************************
3066     /**
3067      * class for ASN.1 DER TaggedObject
3068      * @name KJUR.asn1.DERTaggedObject
3069      * @class class for ASN.1 DER TaggedObject
3070      * @extends KJUR.asn1.ASN1Object
3071      * @description
3072      * <br/>
3073      * Parameter 'tagNoNex' is ASN.1 tag(T) value for this object.
3074      * For example, if you find '[1]' tag in a ASN.1 dump,
3075      * 'tagNoHex' will be 'a1'.
3076      * <br/>
3077      * As for optional argument 'params' for constructor, you can specify *ANY* of
3078      * following properties:
3079      * <ul>
3080      * <li>explicit - specify true if this is explicit tag otherwise false
3081      *     (default is 'true').</li>
3082      * <li>tag - specify tag (default is 'a0' which means [0])</li>
3083      * <li>obj - specify ASN1Object which is tagged</li>
3084      * </ul>
3085      * @example
3086      * d1 = new KJUR.asn1.DERUTF8String({'str':'a'});
3087      * d2 = new KJUR.asn1.DERTaggedObject({'obj': d1});
3088      * hex = d2.getEncodedHex();
3089      */
3090     KJUR.asn1.DERTaggedObject = function(params) {
3091         KJUR.asn1.DERTaggedObject.superclass.constructor.call(this);
3092         this.hT = "a0";
3093         this.hV = '';
3094         this.isExplicit = true;
3095         this.asn1Object = null;
3096 
3097         /**
3098          * set value by an ASN1Object
3099          * @name setString
3100          * @memberOf KJUR.asn1.DERTaggedObject
3101          * @function
3102          * @param {Boolean} isExplicitFlag flag for explicit/implicit tag
3103          * @param {Integer} tagNoHex hexadecimal string of ASN.1 tag
3104          * @param {ASN1Object} asn1Object ASN.1 to encapsulate
3105          */
3106         this.setASN1Object = function(isExplicitFlag, tagNoHex, asn1Object) {
3107             this.hT = tagNoHex;
3108             this.isExplicit = isExplicitFlag;
3109             this.asn1Object = asn1Object;
3110             if (this.isExplicit) {
3111                 this.hV = this.asn1Object.getEncodedHex();
3112                 this.hTLV = null;
3113                 this.isModified = true;
3114             } else {
3115                 this.hV = null;
3116                 this.hTLV = asn1Object.getEncodedHex();
3117                 this.hTLV = this.hTLV.replace(/^../, tagNoHex);
3118                 this.isModified = false;
3119             }
3120         };
3121 
3122         this.getFreshValueHex = function() {
3123             return this.hV;
3124         };
3125 
3126         if (typeof params != "undefined") {
3127             if (typeof params['tag'] != "undefined") {
3128                 this.hT = params['tag'];
3129             }
3130             if (typeof params['explicit'] != "undefined") {
3131                 this.isExplicit = params['explicit'];
3132             }
3133             if (typeof params['obj'] != "undefined") {
3134                 this.asn1Object = params['obj'];
3135                 this.setASN1Object(this.isExplicit, this.hT, this.asn1Object);
3136             }
3137         }
3138     };
3139     JSX.extend(KJUR.asn1.DERTaggedObject, KJUR.asn1.ASN1Object);// Hex JavaScript decoder
3140 // Copyright (c) 2008-2013 Lapo Luchini <lapo@lapo.it>
3141 
3142 // Permission to use, copy, modify, and/or distribute this software for any
3143 // purpose with or without fee is hereby granted, provided that the above
3144 // copyright notice and this permission notice appear in all copies.
3145 //
3146 // THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
3147 // WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
3148 // MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
3149 // ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
3150 // WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
3151 // ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
3152 // OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
3153 
3154     /*jshint browser: true, strict: true, immed: true, latedef: true, undef: true, regexdash: false */
3155     (function (undefined) {
3156         "use strict";
3157 
3158         var Hex = {},
3159             decoder;
3160 
3161         Hex.decode = function(a) {
3162             var i;
3163             if (decoder === undefined) {
3164                 var hex = "0123456789ABCDEF",
3165                     ignore = " \f\n\r\t\u00A0\u2028\u2029";
3166                 decoder = [];
3167                 for (i = 0; i < 16; ++i)
3168                     decoder[hex.charAt(i)] = i;
3169                 hex = hex.toLowerCase();
3170                 for (i = 10; i < 16; ++i)
3171                     decoder[hex.charAt(i)] = i;
3172                 for (i = 0; i < ignore.length; ++i)
3173                     decoder[ignore.charAt(i)] = -1;
3174             }
3175             var out = [],
3176                 bits = 0,
3177                 char_count = 0;
3178             for (i = 0; i < a.length; ++i) {
3179                 var c = a.charAt(i);
3180                 if (c == '=')
3181                     break;
3182                 c = decoder[c];
3183                 if (c == -1)
3184                     continue;
3185                 if (c === undefined)
3186                     throw 'Illegal character at offset ' + i;
3187                 bits |= c;
3188                 if (++char_count >= 2) {
3189                     out[out.length] = bits;
3190                     bits = 0;
3191                     char_count = 0;
3192                 } else {
3193                     bits <<= 4;
3194                 }
3195             }
3196             if (char_count)
3197                 throw "Hex encoding incomplete: 4 bits missing";
3198             return out;
3199         };
3200 
3201 // export globals
3202         window.Hex = Hex;
3203     })();// Base64 JavaScript decoder
3204 // Copyright (c) 2008-2013 Lapo Luchini <lapo@lapo.it>
3205 
3206 // Permission to use, copy, modify, and/or distribute this software for any
3207 // purpose with or without fee is hereby granted, provided that the above
3208 // copyright notice and this permission notice appear in all copies.
3209 //
3210 // THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
3211 // WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
3212 // MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
3213 // ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
3214 // WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
3215 // ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
3216 // OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
3217 
3218     /*jshint browser: true, strict: true, immed: true, latedef: true, undef: true, regexdash: false */
3219     (function (undefined) {
3220         "use strict";
3221 
3222         var Base64 = {},
3223             decoder;
3224 
3225         Base64.decode = function (a) {
3226             var i;
3227             if (decoder === undefined) {
3228                 var b64 = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",
3229                     ignore = "= \f\n\r\t\u00A0\u2028\u2029";
3230                 decoder = [];
3231                 for (i = 0; i < 64; ++i)
3232                     decoder[b64.charAt(i)] = i;
3233                 for (i = 0; i < ignore.length; ++i)
3234                     decoder[ignore.charAt(i)] = -1;
3235             }
3236             var out = [];
3237             var bits = 0, char_count = 0;
3238             for (i = 0; i < a.length; ++i) {
3239                 var c = a.charAt(i);
3240                 if (c == '=')
3241                     break;
3242                 c = decoder[c];
3243                 if (c == -1)
3244                     continue;
3245                 if (c === undefined)
3246                     throw 'Illegal character at offset ' + i;
3247                 bits |= c;
3248                 if (++char_count >= 4) {
3249                     out[out.length] = (bits >> 16);
3250                     out[out.length] = (bits >> 8) & 0xFF;
3251                     out[out.length] = bits & 0xFF;
3252                     bits = 0;
3253                     char_count = 0;
3254                 } else {
3255                     bits <<= 6;
3256                 }
3257             }
3258             switch (char_count) {
3259                 case 1:
3260                     throw "Base64 encoding incomplete: at least 2 bits missing";
3261                 case 2:
3262                     out[out.length] = (bits >> 10);
3263                     break;
3264                 case 3:
3265                     out[out.length] = (bits >> 16);
3266                     out[out.length] = (bits >> 8) & 0xFF;
3267                     break;
3268             }
3269             return out;
3270         };
3271 
3272         Base64.re = /-----BEGIN [^-]+-----([A-Za-z0-9+\/=\s]+)-----END [^-]+-----|begin-base64[^\n]+\n([A-Za-z0-9+\/=\s]+)====/;
3273         Base64.unarmor = function (a) {
3274             var m = Base64.re.exec(a);
3275             if (m) {
3276                 if (m[1])
3277                     a = m[1];
3278                 else if (m[2])
3279                     a = m[2];
3280                 else
3281                     throw "RegExp out of sync";
3282             }
3283             return Base64.decode(a);
3284         };
3285 
3286 // export globals
3287         window.Base64 = Base64;
3288     })();// ASN.1 JavaScript decoder
3289 // Copyright (c) 2008-2013 Lapo Luchini <lapo@lapo.it>
3290 
3291 // Permission to use, copy, modify, and/or distribute this software for any
3292 // purpose with or without fee is hereby granted, provided that the above
3293 // copyright notice and this permission notice appear in all copies.
3294 //
3295 // THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
3296 // WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
3297 // MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
3298 // ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
3299 // WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
3300 // ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
3301 // OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
3302 
3303     /*jshint browser: true, strict: true, immed: true, latedef: true, undef: true, regexdash: false */
3304     /*global oids */
3305     (function (undefined) {
3306         "use strict";
3307 
3308         var hardLimit = 100,
3309             ellipsis = "\u2026",
3310             DOM = {
3311                 tag: function (tagName, className) {
3312                     var t = document.createElement(tagName);
3313                     t.className = className;
3314                     return t;
3315                 },
3316                 text: function (str) {
3317                     return document.createTextNode(str);
3318                 }
3319             };
3320 
3321         function Stream(enc, pos) {
3322             if (enc instanceof Stream) {
3323                 this.enc = enc.enc;
3324                 this.pos = enc.pos;
3325             } else {
3326                 this.enc = enc;
3327                 this.pos = pos;
3328             }
3329         }
3330         Stream.prototype.get = function (pos) {
3331             if (pos === undefined)
3332                 pos = this.pos++;
3333             if (pos >= this.enc.length)
3334                 throw 'Requesting byte offset ' + pos + ' on a stream of length ' + this.enc.length;
3335             return this.enc[pos];
3336         };
3337         Stream.prototype.hexDigits = "0123456789ABCDEF";
3338         Stream.prototype.hexByte = function (b) {
3339             return this.hexDigits.charAt((b >> 4) & 0xF) + this.hexDigits.charAt(b & 0xF);
3340         };
3341         Stream.prototype.hexDump = function (start, end, raw) {
3342             var s = "";
3343             for (var i = start; i < end; ++i) {
3344                 s += this.hexByte(this.get(i));
3345                 if (raw !== true)
3346                     switch (i & 0xF) {
3347                         case 0x7: s += "  "; break;
3348                         case 0xF: s += "\n"; break;
3349                         default:  s += " ";
3350                     }
3351             }
3352             return s;
3353         };
3354         Stream.prototype.parseStringISO = function (start, end) {
3355             var s = "";
3356             for (var i = start; i < end; ++i)
3357                 s += String.fromCharCode(this.get(i));
3358             return s;
3359         };
3360         Stream.prototype.parseStringUTF = function (start, end) {
3361             var s = "";
3362             for (var i = start; i < end; ) {
3363                 var c = this.get(i++);
3364                 if (c < 128)
3365                     s += String.fromCharCode(c);
3366                 else if ((c > 191) && (c < 224))
3367                     s += String.fromCharCode(((c & 0x1F) << 6) | (this.get(i++) & 0x3F));
3368                 else
3369                     s += String.fromCharCode(((c & 0x0F) << 12) | ((this.get(i++) & 0x3F) << 6) | (this.get(i++) & 0x3F));
3370             }
3371             return s;
3372         };
3373         Stream.prototype.parseStringBMP = function (start, end) {
3374             var str = ""
3375             for (var i = start; i < end; i += 2) {
3376                 var high_byte = this.get(i);
3377                 var low_byte = this.get(i + 1);
3378                 str += String.fromCharCode( (high_byte << 8) + low_byte );
3379             }
3380 
3381             return str;
3382         };
3383         Stream.prototype.reTime = /^((?:1[89]|2\d)?\d\d)(0[1-9]|1[0-2])(0[1-9]|[12]\d|3[01])([01]\d|2[0-3])(?:([0-5]\d)(?:([0-5]\d)(?:[.,](\d{1,3}))?)?)?(Z|[-+](?:[0]\d|1[0-2])([0-5]\d)?)?$/;
3384         Stream.prototype.parseTime = function (start, end) {
3385             var s = this.parseStringISO(start, end),
3386                 m = this.reTime.exec(s);
3387             if (!m)
3388                 return "Unrecognized time: " + s;
3389             s = m[1] + "-" + m[2] + "-" + m[3] + " " + m[4];
3390             if (m[5]) {
3391                 s += ":" + m[5];
3392                 if (m[6]) {
3393                     s += ":" + m[6];
3394                     if (m[7])
3395                         s += "." + m[7];
3396                 }
3397             }
3398             if (m[8]) {
3399                 s += " UTC";
3400                 if (m[8] != 'Z') {
3401                     s += m[8];
3402                     if (m[9])
3403                         s += ":" + m[9];
3404                 }
3405             }
3406             return s;
3407         };
3408         Stream.prototype.parseInteger = function (start, end) {
3409             //TODO support negative numbers
3410             var len = end - start;
3411             if (len > 4) {
3412                 len <<= 3;
3413                 var s = this.get(start);
3414                 if (s === 0)
3415                     len -= 8;
3416                 else
3417                     while (s < 128) {
3418                         s <<= 1;
3419                         --len;
3420                     }
3421                 return "(" + len + " bit)";
3422             }
3423             var n = 0;
3424             for (var i = start; i < end; ++i)
3425                 n = (n << 8) | this.get(i);
3426             return n;
3427         };
3428         Stream.prototype.parseBitString = function (start, end) {
3429             var unusedBit = this.get(start),
3430                 lenBit = ((end - start - 1) << 3) - unusedBit,
3431                 s = "(" + lenBit + " bit)";
3432             if (lenBit <= 20) {
3433                 var skip = unusedBit;
3434                 s += " ";
3435                 for (var i = end - 1; i > start; --i) {
3436                     var b = this.get(i);
3437                     for (var j = skip; j < 8; ++j)
3438                         s += (b >> j) & 1 ? "1" : "0";
3439                     skip = 0;
3440                 }
3441             }
3442             return s;
3443         };
3444         Stream.prototype.parseOctetString = function (start, end) {
3445             var len = end - start,
3446                 s = "(" + len + " byte) ";
3447             if (len > hardLimit)
3448                 end = start + hardLimit;
3449             for (var i = start; i < end; ++i)
3450                 s += this.hexByte(this.get(i)); //TODO: also try Latin1?
3451             if (len > hardLimit)
3452                 s += ellipsis;
3453             return s;
3454         };
3455         Stream.prototype.parseOID = function (start, end) {
3456             var s = '',
3457                 n = 0,
3458                 bits = 0;
3459             for (var i = start; i < end; ++i) {
3460                 var v = this.get(i);
3461                 n = (n << 7) | (v & 0x7F);
3462                 bits += 7;
3463                 if (!(v & 0x80)) { // finished
3464                     if (s === '') {
3465                         var m = n < 80 ? n < 40 ? 0 : 1 : 2;
3466                         s = m + "." + (n - m * 40);
3467                     } else
3468                         s += "." + ((bits >= 31) ? "bigint" : n);
3469                     n = bits = 0;
3470                 }
3471             }
3472             return s;
3473         };
3474 
3475         function ASN1(stream, header, length, tag, sub) {
3476             this.stream = stream;
3477             this.header = header;
3478             this.length = length;
3479             this.tag = tag;
3480             this.sub = sub;
3481         }
3482         ASN1.prototype.typeName = function () {
3483             if (this.tag === undefined)
3484                 return "unknown";
3485             var tagClass = this.tag >> 6,
3486                 tagConstructed = (this.tag >> 5) & 1,
3487                 tagNumber = this.tag & 0x1F;
3488             switch (tagClass) {
3489                 case 0: // universal
3490                     switch (tagNumber) {
3491                         case 0x00: return "EOC";
3492                         case 0x01: return "BOOLEAN";
3493                         case 0x02: return "INTEGER";
3494                         case 0x03: return "BIT_STRING";
3495                         case 0x04: return "OCTET_STRING";
3496                         case 0x05: return "NULL";
3497                         case 0x06: return "OBJECT_IDENTIFIER";
3498                         case 0x07: return "ObjectDescriptor";
3499                         case 0x08: return "EXTERNAL";
3500                         case 0x09: return "REAL";
3501                         case 0x0A: return "ENUMERATED";
3502                         case 0x0B: return "EMBEDDED_PDV";
3503                         case 0x0C: return "UTF8String";
3504                         case 0x10: return "SEQUENCE";
3505                         case 0x11: return "SET";
3506                         case 0x12: return "NumericString";
3507                         case 0x13: return "PrintableString"; // ASCII subset
3508                         case 0x14: return "TeletexString"; // aka T61String
3509                         case 0x15: return "VideotexString";
3510                         case 0x16: return "IA5String"; // ASCII
3511                         case 0x17: return "UTCTime";
3512                         case 0x18: return "GeneralizedTime";
3513                         case 0x19: return "GraphicString";
3514                         case 0x1A: return "VisibleString"; // ASCII subset
3515                         case 0x1B: return "GeneralString";
3516                         case 0x1C: return "UniversalString";
3517                         case 0x1E: return "BMPString";
3518                         default:   return "Universal_" + tagNumber.toString(16);
3519                     }
3520                 case 1: return "Application_" + tagNumber.toString(16);
3521                 case 2: return "[" + tagNumber + "]"; // Context
3522                 case 3: return "Private_" + tagNumber.toString(16);
3523             }
3524         };
3525         ASN1.prototype.reSeemsASCII = /^[ -~]+$/;
3526         ASN1.prototype.content = function () {
3527             if (this.tag === undefined)
3528                 return null;
3529             var tagClass = this.tag >> 6,
3530                 tagNumber = this.tag & 0x1F,
3531                 content = this.posContent(),
3532                 len = Math.abs(this.length);
3533             if (tagClass !== 0) { // universal
3534                 if (this.sub !== null)
3535                     return "(" + this.sub.length + " elem)";
3536                 //TODO: TRY TO PARSE ASCII STRING
3537                 var s = this.stream.parseStringISO(content, content + Math.min(len, hardLimit));
3538                 if (this.reSeemsASCII.test(s))
3539                     return s.substring(0, 2 * hardLimit) + ((s.length > 2 * hardLimit) ? ellipsis : "");
3540                 else
3541                     return this.stream.parseOctetString(content, content + len);
3542             }
3543             switch (tagNumber) {
3544                 case 0x01: // BOOLEAN
3545                     return (this.stream.get(content) === 0) ? "false" : "true";
3546                 case 0x02: // INTEGER
3547                     return this.stream.parseInteger(content, content + len);
3548                 case 0x03: // BIT_STRING
3549                     return this.sub ? "(" + this.sub.length + " elem)" :
3550                         this.stream.parseBitString(content, content + len);
3551                 case 0x04: // OCTET_STRING
3552                     return this.sub ? "(" + this.sub.length + " elem)" :
3553                         this.stream.parseOctetString(content, content + len);
3554                 //case 0x05: // NULL
3555                 case 0x06: // OBJECT_IDENTIFIER
3556                     return this.stream.parseOID(content, content + len);
3557                 //case 0x07: // ObjectDescriptor
3558                 //case 0x08: // EXTERNAL
3559                 //case 0x09: // REAL
3560                 //case 0x0A: // ENUMERATED
3561                 //case 0x0B: // EMBEDDED_PDV
3562                 case 0x10: // SEQUENCE
3563                 case 0x11: // SET
3564                     return "(" + this.sub.length + " elem)";
3565                 case 0x0C: // UTF8String
3566                     return this.stream.parseStringUTF(content, content + len);
3567                 case 0x12: // NumericString
3568                 case 0x13: // PrintableString
3569                 case 0x14: // TeletexString
3570                 case 0x15: // VideotexString
3571                 case 0x16: // IA5String
3572                 //case 0x19: // GraphicString
3573                 case 0x1A: // VisibleString
3574                     //case 0x1B: // GeneralString
3575                     //case 0x1C: // UniversalString
3576                     return this.stream.parseStringISO(content, content + len);
3577                 case 0x1E: // BMPString
3578                     return this.stream.parseStringBMP(content, content + len);
3579                 case 0x17: // UTCTime
3580                 case 0x18: // GeneralizedTime
3581                     return this.stream.parseTime(content, content + len);
3582             }
3583             return null;
3584         };
3585         ASN1.prototype.toString = function () {
3586             return this.typeName() + "@" + this.stream.pos + "[header:" + this.header + ",length:" + this.length + ",sub:" + ((this.sub === null) ? 'null' : this.sub.length) + "]";
3587         };
3588         ASN1.prototype.print = function (indent) {
3589             if (indent === undefined) indent = '';
3590             document.writeln(indent + this);
3591             if (this.sub !== null) {
3592                 indent += '  ';
3593                 for (var i = 0, max = this.sub.length; i < max; ++i)
3594                     this.sub[i].print(indent);
3595             }
3596         };
3597         ASN1.prototype.toPrettyString = function (indent) {
3598             if (indent === undefined) indent = '';
3599             var s = indent + this.typeName() + " @" + this.stream.pos;
3600             if (this.length >= 0)
3601                 s += "+";
3602             s += this.length;
3603             if (this.tag & 0x20)
3604                 s += " (constructed)";
3605             else if (((this.tag == 0x03) || (this.tag == 0x04)) && (this.sub !== null))
3606                 s += " (encapsulates)";
3607             s += "\n";
3608             if (this.sub !== null) {
3609                 indent += '  ';
3610                 for (var i = 0, max = this.sub.length; i < max; ++i)
3611                     s += this.sub[i].toPrettyString(indent);
3612             }
3613             return s;
3614         };
3615         ASN1.prototype.toDOM = function () {
3616             var node = DOM.tag("div", "node");
3617             node.asn1 = this;
3618             var head = DOM.tag("div", "head");
3619             var s = this.typeName().replace(/_/g, " ");
3620             head.innerHTML = s;
3621             var content = this.content();
3622             if (content !== null) {
3623                 content = String(content).replace(/</g, "&lt;");
3624                 var preview = DOM.tag("span", "preview");
3625                 preview.appendChild(DOM.text(content));
3626                 head.appendChild(preview);
3627             }
3628             node.appendChild(head);
3629             this.node = node;
3630             this.head = head;
3631             var value = DOM.tag("div", "value");
3632             s = "Offset: " + this.stream.pos + "<br/>";
3633             s += "Length: " + this.header + "+";
3634             if (this.length >= 0)
3635                 s += this.length;
3636             else
3637                 s += (-this.length) + " (undefined)";
3638             if (this.tag & 0x20)
3639                 s += "<br/>(constructed)";
3640             else if (((this.tag == 0x03) || (this.tag == 0x04)) && (this.sub !== null))
3641                 s += "<br/>(encapsulates)";
3642             //TODO if (this.tag == 0x03) s += "Unused bits: "
3643             if (content !== null) {
3644                 s += "<br/>Value:<br/><b>" + content + "</b>";
3645                 if ((typeof oids === 'object') && (this.tag == 0x06)) {
3646                     var oid = oids[content];
3647                     if (oid) {
3648                         if (oid.d) s += "<br/>" + oid.d;
3649                         if (oid.c) s += "<br/>" + oid.c;
3650                         if (oid.w) s += "<br/>(warning!)";
3651                     }
3652                 }
3653             }
3654             value.innerHTML = s;
3655             node.appendChild(value);
3656             var sub = DOM.tag("div", "sub");
3657             if (this.sub !== null) {
3658                 for (var i = 0, max = this.sub.length; i < max; ++i)
3659                     sub.appendChild(this.sub[i].toDOM());
3660             }
3661             node.appendChild(sub);
3662             head.onclick = function () {
3663                 node.className = (node.className == "node collapsed") ? "node" : "node collapsed";
3664             };
3665             return node;
3666         };
3667         ASN1.prototype.posStart = function () {
3668             return this.stream.pos;
3669         };
3670         ASN1.prototype.posContent = function () {
3671             return this.stream.pos + this.header;
3672         };
3673         ASN1.prototype.posEnd = function () {
3674             return this.stream.pos + this.header + Math.abs(this.length);
3675         };
3676         ASN1.prototype.fakeHover = function (current) {
3677             this.node.className += " hover";
3678             if (current)
3679                 this.head.className += " hover";
3680         };
3681         ASN1.prototype.fakeOut = function (current) {
3682             var re = / ?hover/;
3683             this.node.className = this.node.className.replace(re, "");
3684             if (current)
3685                 this.head.className = this.head.className.replace(re, "");
3686         };
3687         ASN1.prototype.toHexDOM_sub = function (node, className, stream, start, end) {
3688             if (start >= end)
3689                 return;
3690             var sub = DOM.tag("span", className);
3691             sub.appendChild(DOM.text(
3692                 stream.hexDump(start, end)));
3693             node.appendChild(sub);
3694         };
3695         ASN1.prototype.toHexDOM = function (root) {
3696             var node = DOM.tag("span", "hex");
3697             if (root === undefined) root = node;
3698             this.head.hexNode = node;
3699             this.head.onmouseover = function () { this.hexNode.className = "hexCurrent"; };
3700             this.head.onmouseout  = function () { this.hexNode.className = "hex"; };
3701             node.asn1 = this;
3702             node.onmouseover = function () {
3703                 var current = !root.selected;
3704                 if (current) {
3705                     root.selected = this.asn1;
3706                     this.className = "hexCurrent";
3707                 }
3708                 this.asn1.fakeHover(current);
3709             };
3710             node.onmouseout  = function () {
3711                 var current = (root.selected == this.asn1);
3712                 this.asn1.fakeOut(current);
3713                 if (current) {
3714                     root.selected = null;
3715                     this.className = "hex";
3716                 }
3717             };
3718             this.toHexDOM_sub(node, "tag", this.stream, this.posStart(), this.posStart() + 1);
3719             this.toHexDOM_sub(node, (this.length >= 0) ? "dlen" : "ulen", this.stream, this.posStart() + 1, this.posContent());
3720             if (this.sub === null)
3721                 node.appendChild(DOM.text(
3722                     this.stream.hexDump(this.posContent(), this.posEnd())));
3723             else if (this.sub.length > 0) {
3724                 var first = this.sub[0];
3725                 var last = this.sub[this.sub.length - 1];
3726                 this.toHexDOM_sub(node, "intro", this.stream, this.posContent(), first.posStart());
3727                 for (var i = 0, max = this.sub.length; i < max; ++i)
3728                     node.appendChild(this.sub[i].toHexDOM(root));
3729                 this.toHexDOM_sub(node, "outro", this.stream, last.posEnd(), this.posEnd());
3730             }
3731             return node;
3732         };
3733         ASN1.prototype.toHexString = function (root) {
3734             return this.stream.hexDump(this.posStart(), this.posEnd(), true);
3735         };
3736         ASN1.decodeLength = function (stream) {
3737             var buf = stream.get(),
3738                 len = buf & 0x7F;
3739             if (len == buf)
3740                 return len;
3741             if (len > 3)
3742                 throw "Length over 24 bits not supported at position " + (stream.pos - 1);
3743             if (len === 0)
3744                 return -1; // undefined
3745             buf = 0;
3746             for (var i = 0; i < len; ++i)
3747                 buf = (buf << 8) | stream.get();
3748             return buf;
3749         };
3750         ASN1.hasContent = function (tag, len, stream) {
3751             if (tag & 0x20) // constructed
3752                 return true;
3753             if ((tag < 0x03) || (tag > 0x04))
3754                 return false;
3755             var p = new Stream(stream);
3756             if (tag == 0x03) p.get(); // BitString unused bits, must be in [0, 7]
3757             var subTag = p.get();
3758             if ((subTag >> 6) & 0x01) // not (universal or context)
3759                 return false;
3760             try {
3761                 var subLength = ASN1.decodeLength(p);
3762                 return ((p.pos - stream.pos) + subLength == len);
3763             } catch (exception) {
3764                 return false;
3765             }
3766         };
3767         ASN1.decode = function (stream) {
3768             if (!(stream instanceof Stream))
3769                 stream = new Stream(stream, 0);
3770             var streamStart = new Stream(stream),
3771                 tag = stream.get(),
3772                 len = ASN1.decodeLength(stream),
3773                 header = stream.pos - streamStart.pos,
3774                 sub = null;
3775             if (ASN1.hasContent(tag, len, stream)) {
3776                 // it has content, so we decode it
3777                 var start = stream.pos;
3778                 if (tag == 0x03) stream.get(); // skip BitString unused bits, must be in [0, 7]
3779                 sub = [];
3780                 if (len >= 0) {
3781                     // definite length
3782                     var end = start + len;
3783                     while (stream.pos < end)
3784                         sub[sub.length] = ASN1.decode(stream);
3785                     if (stream.pos != end)
3786                         throw "Content size is not correct for container starting at offset " + start;
3787                 } else {
3788                     // undefined length
3789                     try {
3790                         for (;;) {
3791                             var s = ASN1.decode(stream);
3792                             if (s.tag === 0)
3793                                 break;
3794                             sub[sub.length] = s;
3795                         }
3796                         len = start - stream.pos;
3797                     } catch (e) {
3798                         throw "Exception while decoding undefined length content: " + e;
3799                     }
3800                 }
3801             } else
3802                 stream.pos += len; // skip content
3803             return new ASN1(streamStart, header, len, tag, sub);
3804         };
3805         ASN1.test = function () {
3806             var test = [
3807                 { value: [0x27],                   expected: 0x27     },
3808                 { value: [0x81, 0xC9],             expected: 0xC9     },
3809                 { value: [0x83, 0xFE, 0xDC, 0xBA], expected: 0xFEDCBA }
3810             ];
3811             for (var i = 0, max = test.length; i < max; ++i) {
3812                 var pos = 0,
3813                     stream = new Stream(test[i].value, 0),
3814                     res = ASN1.decodeLength(stream);
3815                 if (res != test[i].expected)
3816                     document.write("In test[" + i + "] expected " + test[i].expected + " got " + res + "\n");
3817             }
3818         };
3819 
3820 // export globals
3821         window.ASN1 = ASN1;
3822     })();/**
3823      * Retrieve the hexadecimal value (as a string) of the current ASN.1 element
3824      * @returns {string}
3825      * @public
3826      */
3827     ASN1.prototype.getHexStringValue = function () {
3828         var hexString = this.toHexString();
3829         var offset = this.header * 2;
3830         var length = this.length * 2;
3831         return hexString.substr(offset, length);
3832     };
3833 
3834     /**
3835      * Method to parse a pem encoded string containing both a public or private key.
3836      * The method will translate the pem encoded string in a der encoded string and
3837      * will parse private key and public key parameters. This method accepts public key
3838      * in the rsaencryption pkcs #1 format (oid: 1.2.840.113549.1.1.1).
3839      *
3840      * @todo Check how many rsa formats use the same format of pkcs #1.
3841      *
3842      * The format is defined as:
3843      * PublicKeyInfo ::= SEQUENCE {
3844  *   algorithm       AlgorithmIdentifier,
3845  *   PublicKey       BIT STRING
3846  * }
3847      * Where AlgorithmIdentifier is:
3848      * AlgorithmIdentifier ::= SEQUENCE {
3849  *   algorithm       OBJECT IDENTIFIER,     the OID of the enc algorithm
3850  *   parameters      ANY DEFINED BY algorithm OPTIONAL (NULL for PKCS #1)
3851  * }
3852      * and PublicKey is a SEQUENCE encapsulated in a BIT STRING
3853      * RSAPublicKey ::= SEQUENCE {
3854  *   modulus           INTEGER,  -- n
3855  *   publicExponent    INTEGER   -- e
3856  * }
3857      * it's possible to examine the structure of the keys obtained from openssl using
3858      * an asn.1 dumper as the one used here to parse the components: http://lapo.it/asn1js/
3859      * @argument {string} pem the pem encoded string, can include the BEGIN/END header/footer
3860      * @private
3861      */
3862     RSAKey.prototype.parseKey = function (pem) {
3863         try {
3864             var modulus = 0;
3865             var public_exponent = 0;
3866             var reHex = /^\s*(?:[0-9A-Fa-f][0-9A-Fa-f]\s*)+$/;
3867             var der = reHex.test(pem) ? Hex.decode(pem) : Base64.unarmor(pem);
3868             var asn1 = ASN1.decode(der);
3869 
3870             //Fixes a bug with OpenSSL 1.0+ private keys
3871             if(asn1.sub.length === 3){
3872                 asn1 = asn1.sub[2].sub[0];
3873             }
3874             if (asn1.sub.length === 9) {
3875 
3876                 // Parse the private key.
3877                 modulus = asn1.sub[1].getHexStringValue(); //bigint
3878                 this.n = parseBigInt(modulus, 16);
3879 
3880                 public_exponent = asn1.sub[2].getHexStringValue(); //int
3881                 this.e = parseInt(public_exponent, 16);
3882 
3883                 var private_exponent = asn1.sub[3].getHexStringValue(); //bigint
3884                 this.d = parseBigInt(private_exponent, 16);
3885 
3886                 var prime1 = asn1.sub[4].getHexStringValue(); //bigint
3887                 this.p = parseBigInt(prime1, 16);
3888 
3889                 var prime2 = asn1.sub[5].getHexStringValue(); //bigint
3890                 this.q = parseBigInt(prime2, 16);
3891 
3892                 var exponent1 = asn1.sub[6].getHexStringValue(); //bigint
3893                 this.dmp1 = parseBigInt(exponent1, 16);
3894 
3895                 var exponent2 = asn1.sub[7].getHexStringValue(); //bigint
3896                 this.dmq1 = parseBigInt(exponent2, 16);
3897 
3898                 var coefficient = asn1.sub[8].getHexStringValue(); //bigint
3899                 this.coeff = parseBigInt(coefficient, 16);
3900 
3901             }
3902             else if (asn1.sub.length === 2) {
3903 
3904                 // Parse the public key.
3905                 var bit_string = asn1.sub[1];
3906                 var sequence = bit_string.sub[0];
3907 
3908                 modulus = sequence.sub[0].getHexStringValue();
3909                 this.n = parseBigInt(modulus, 16);
3910                 public_exponent = sequence.sub[1].getHexStringValue();
3911                 this.e = parseInt(public_exponent, 16);
3912 
3913             }
3914             else {
3915                 return false;
3916             }
3917             return true;
3918         }
3919         catch (ex) {
3920             return false;
3921         }
3922     };
3923 
3924     /**
3925      * Translate rsa parameters in a hex encoded string representing the rsa key.
3926      *
3927      * The translation follow the ASN.1 notation :
3928      * RSAPrivateKey ::= SEQUENCE {
3929  *   version           Version,
3930  *   modulus           INTEGER,  -- n
3931  *   publicExponent    INTEGER,  -- e
3932  *   privateExponent   INTEGER,  -- d
3933  *   prime1            INTEGER,  -- p
3934  *   prime2            INTEGER,  -- q
3935  *   exponent1         INTEGER,  -- d mod (p1)
3936  *   exponent2         INTEGER,  -- d mod (q-1)
3937  *   coefficient       INTEGER,  -- (inverse of q) mod p
3938  * }
3939      * @returns {string}  DER Encoded String representing the rsa private key
3940      * @private
3941      */
3942     RSAKey.prototype.getPrivateBaseKey = function () {
3943         var options = {
3944             'array': [
3945                 new KJUR.asn1.DERInteger({'int': 0}),
3946                 new KJUR.asn1.DERInteger({'bigint': this.n}),
3947                 new KJUR.asn1.DERInteger({'int': this.e}),
3948                 new KJUR.asn1.DERInteger({'bigint': this.d}),
3949                 new KJUR.asn1.DERInteger({'bigint': this.p}),
3950                 new KJUR.asn1.DERInteger({'bigint': this.q}),
3951                 new KJUR.asn1.DERInteger({'bigint': this.dmp1}),
3952                 new KJUR.asn1.DERInteger({'bigint': this.dmq1}),
3953                 new KJUR.asn1.DERInteger({'bigint': this.coeff})
3954             ]
3955         };
3956         var seq = new KJUR.asn1.DERSequence(options);
3957         return seq.getEncodedHex();
3958     };
3959 
3960     /**
3961      * base64 (pem) encoded version of the DER encoded representation
3962      * @returns {string} pem encoded representation without header and footer
3963      * @public
3964      */
3965     RSAKey.prototype.getPrivateBaseKeyB64 = function () {
3966         return hex2b64(this.getPrivateBaseKey());
3967     };
3968 
3969     /**
3970      * Translate rsa parameters in a hex encoded string representing the rsa public key.
3971      * The representation follow the ASN.1 notation :
3972      * PublicKeyInfo ::= SEQUENCE {
3973  *   algorithm       AlgorithmIdentifier,
3974  *   PublicKey       BIT STRING
3975  * }
3976      * Where AlgorithmIdentifier is:
3977      * AlgorithmIdentifier ::= SEQUENCE {
3978  *   algorithm       OBJECT IDENTIFIER,     the OID of the enc algorithm
3979  *   parameters      ANY DEFINED BY algorithm OPTIONAL (NULL for PKCS #1)
3980  * }
3981      * and PublicKey is a SEQUENCE encapsulated in a BIT STRING
3982      * RSAPublicKey ::= SEQUENCE {
3983  *   modulus           INTEGER,  -- n
3984  *   publicExponent    INTEGER   -- e
3985  * }
3986      * @returns {string} DER Encoded String representing the rsa public key
3987      * @private
3988      */
3989     RSAKey.prototype.getPublicBaseKey = function () {
3990         var options = {
3991             'array': [
3992                 new KJUR.asn1.DERObjectIdentifier({'oid': '1.2.840.113549.1.1.1'}), //RSA Encryption pkcs #1 oid
3993                 new KJUR.asn1.DERNull()
3994             ]
3995         };
3996         var first_sequence = new KJUR.asn1.DERSequence(options);
3997 
3998         options = {
3999             'array': [
4000                 new KJUR.asn1.DERInteger({'bigint': this.n}),
4001                 new KJUR.asn1.DERInteger({'int': this.e})
4002             ]
4003         };
4004         var second_sequence = new KJUR.asn1.DERSequence(options);
4005 
4006         options = {
4007             'hex': '00' + second_sequence.getEncodedHex()
4008         };
4009         var bit_string = new KJUR.asn1.DERBitString(options);
4010 
4011         options = {
4012             'array': [
4013                 first_sequence,
4014                 bit_string
4015             ]
4016         };
4017         var seq = new KJUR.asn1.DERSequence(options);
4018         return seq.getEncodedHex();
4019     };
4020 
4021     /**
4022      * base64 (pem) encoded version of the DER encoded representation
4023      * @returns {string} pem encoded representation without header and footer
4024      * @public
4025      */
4026     RSAKey.prototype.getPublicBaseKeyB64 = function () {
4027         return hex2b64(this.getPublicBaseKey());
4028     };
4029 
4030     /**
4031      * wrap the string in block of width chars. The default value for rsa keys is 64
4032      * characters.
4033      * @param {string} str the pem encoded string without header and footer
4034      * @param {Number} [width=64] - the length the string has to be wrapped at
4035      * @returns {string}
4036      * @private
4037      */
4038     RSAKey.prototype.wordwrap = function (str, width) {
4039         width = width || 64;
4040         if (!str) {
4041             return str;
4042         }
4043         var regex = '(.{1,' + width + '})( +|$\n?)|(.{1,' + width + '})';
4044         return str.match(RegExp(regex, 'g')).join('\n');
4045     };
4046 
4047     /**
4048      * Retrieve the pem encoded private key
4049      * @returns {string} the pem encoded private key with header/footer
4050      * @public
4051      */
4052     RSAKey.prototype.getPrivateKey = function () {
4053         var key = "-----BEGIN RSA PRIVATE KEY-----\n";
4054         key += this.wordwrap(this.getPrivateBaseKeyB64()) + "\n";
4055         key += "-----END RSA PRIVATE KEY-----";
4056         return key;
4057     };
4058 
4059     /**
4060      * Retrieve the pem encoded public key
4061      * @returns {string} the pem encoded public key with header/footer
4062      * @public
4063      */
4064     RSAKey.prototype.getPublicKey = function () {
4065         var key = "-----BEGIN PUBLIC KEY-----\n";
4066         key += this.wordwrap(this.getPublicBaseKeyB64()) + "\n";
4067         key += "-----END PUBLIC KEY-----";
4068         return key;
4069     };
4070 
4071     /**
4072      * Check if the object contains the necessary parameters to populate the rsa modulus
4073      * and public exponent parameters.
4074      * @param {Object} [obj={}] - An object that may contain the two public key
4075      * parameters
4076      * @returns {boolean} true if the object contains both the modulus and the public exponent
4077      * properties (n and e)
4078      * @todo check for types of n and e. N should be a parseable bigInt object, E should
4079      * be a parseable integer number
4080      * @private
4081      */
4082     RSAKey.prototype.hasPublicKeyProperty = function (obj) {
4083         obj = obj || {};
4084         return (
4085             obj.hasOwnProperty('n') &&
4086             obj.hasOwnProperty('e')
4087         );
4088     };
4089 
4090     /**
4091      * Check if the object contains ALL the parameters of an RSA key.
4092      * @param {Object} [obj={}] - An object that may contain nine rsa key
4093      * parameters
4094      * @returns {boolean} true if the object contains all the parameters needed
4095      * @todo check for types of the parameters all the parameters but the public exponent
4096      * should be parseable bigint objects, the public exponent should be a parseable integer number
4097      * @private
4098      */
4099     RSAKey.prototype.hasPrivateKeyProperty = function (obj) {
4100         obj = obj || {};
4101         return (
4102             obj.hasOwnProperty('n') &&
4103             obj.hasOwnProperty('e') &&
4104             obj.hasOwnProperty('d') &&
4105             obj.hasOwnProperty('p') &&
4106             obj.hasOwnProperty('q') &&
4107             obj.hasOwnProperty('dmp1') &&
4108             obj.hasOwnProperty('dmq1') &&
4109             obj.hasOwnProperty('coeff')
4110         );
4111     };
4112 
4113     /**
4114      * Parse the properties of obj in the current rsa object. Obj should AT LEAST
4115      * include the modulus and public exponent (n, e) parameters.
4116      * @param {Object} obj - the object containing rsa parameters
4117      * @private
4118      */
4119     RSAKey.prototype.parsePropertiesFrom = function (obj) {
4120         this.n = obj.n;
4121         this.e = obj.e;
4122 
4123         if (obj.hasOwnProperty('d')) {
4124             this.d = obj.d;
4125             this.p = obj.p;
4126             this.q = obj.q;
4127             this.dmp1 = obj.dmp1;
4128             this.dmq1 = obj.dmq1;
4129             this.coeff = obj.coeff;
4130         }
4131     };
4132 
4133     /**
4134      * Create a new JSEncryptRSAKey that extends Tom Wu's RSA key object.
4135      * This object is just a decorator for parsing the key parameter
4136      * @param {string|Object} key - The key in string format, or an object containing
4137      * the parameters needed to build a RSAKey object.
4138      * @constructor
4139      */
4140     var JSEncryptRSAKey = function (key) {
4141         // Call the super constructor.
4142         RSAKey.call(this);
4143         // If a key key was provided.
4144         if (key) {
4145             // If this is a string...
4146             if (typeof key === 'string') {
4147                 this.parseKey(key);
4148             }
4149             else if (
4150                 this.hasPrivateKeyProperty(key) ||
4151                 this.hasPublicKeyProperty(key)
4152             ) {
4153                 // Set the values for the key.
4154                 this.parsePropertiesFrom(key);
4155             }
4156         }
4157     };
4158 
4159 // Derive from RSAKey.
4160     JSEncryptRSAKey.prototype = new RSAKey();
4161 
4162 // Reset the contructor.
4163     JSEncryptRSAKey.prototype.constructor = JSEncryptRSAKey;
4164 
4165 
4166     /**
4167      *
4168      * @param {Object} [options = {}] - An object to customize JSEncrypt behaviour
4169      * possible parameters are:
4170      * - default_key_size        {number}  default: 1024 the key size in bit
4171      * - default_public_exponent {string}  default: '010001' the hexadecimal representation of the public exponent
4172      * - log                     {boolean} default: false whether log warn/error or not
4173      * @constructor
4174      */
4175     var JSEncrypt = function (options) {
4176         options = options || {};
4177         this.default_key_size = parseInt(options.default_key_size) || 1024;
4178         this.default_public_exponent = options.default_public_exponent || '010001'; //65537 default openssl public exponent for rsa key type
4179         this.log = options.log || false;
4180         // The private and public key.
4181         this.key = null;
4182     };
4183 
4184     /**
4185      * Method to set the rsa key parameter (one method is enough to set both the public
4186      * and the private key, since the private key contains the public key paramenters)
4187      * Log a warning if logs are enabled
4188      * @param {Object|string} key the pem encoded string or an object (with or without header/footer)
4189      * @public
4190      */
4191     JSEncrypt.prototype.setKey = function (key) {
4192         if (this.log && this.key) {
4193             console.warn('A key was already set, overriding existing.');
4194         }
4195         this.key = new JSEncryptRSAKey(key);
4196     };
4197 
4198     /**
4199      * Proxy method for setKey, for api compatibility
4200      * @see setKey
4201      * @public
4202      */
4203     JSEncrypt.prototype.setPrivateKey = function (privkey) {
4204         // Create the key.
4205         this.setKey(privkey);
4206     };
4207 
4208     /**
4209      * Proxy method for setKey, for api compatibility
4210      * @see setKey
4211      * @public
4212      */
4213     JSEncrypt.prototype.setPublicKey = function (pubkey) {
4214         // Sets the public key.
4215         this.setKey(pubkey);
4216     };
4217 
4218     /**
4219      * Proxy method for RSAKey object's decrypt, decrypt the string using the private
4220      * components of the rsa key object. Note that if the object was not set will be created
4221      * on the fly (by the getKey method) using the parameters passed in the JSEncrypt constructor
4222      * @param {string} string base64 encoded crypted string to decrypt
4223      * @return {string} the decrypted string
4224      * @public
4225      */
4226     JSEncrypt.prototype.decrypt = function (string) {
4227         // Return the decrypted string.
4228         try {
4229             return this.getKey().decrypt(b64tohex(string));
4230         }
4231         catch (ex) {
4232             return false;
4233         }
4234     };
4235 
4236     /**
4237      * Proxy method for RSAKey object's encrypt, encrypt the string using the public
4238      * components of the rsa key object. Note that if the object was not set will be created
4239      * on the fly (by the getKey method) using the parameters passed in the JSEncrypt constructor
4240      * @param {string} string the string to encrypt
4241      * @return {string} the encrypted string encoded in base64
4242      * @public
4243      */
4244     JSEncrypt.prototype.encrypt = function (string) {
4245         // Return the encrypted string.
4246         try {
4247             return hex2b64(this.getKey().encrypt(string));
4248         }
4249         catch (ex) {
4250             return false;
4251         }
4252     };
4253 
4254     /**
4255      * Getter for the current JSEncryptRSAKey object. If it doesn't exists a new object
4256      * will be created and returned
4257      * @param {callback} [cb] the callback to be called if we want the key to be generated
4258      * in an async fashion
4259      * @returns {JSEncryptRSAKey} the JSEncryptRSAKey object
4260      * @public
4261      */
4262     JSEncrypt.prototype.getKey = function (cb) {
4263         // Only create new if it does not exist.
4264         if (!this.key) {
4265             // Get a new private key.
4266             this.key = new JSEncryptRSAKey();
4267             if (cb && {}.toString.call(cb) === '[object Function]') {
4268                 this.key.generateAsync(this.default_key_size, this.default_public_exponent, cb);
4269                 return;
4270             }
4271             // Generate the key.
4272             this.key.generate(this.default_key_size, this.default_public_exponent);
4273         }
4274         return this.key;
4275     };
4276 
4277     /**
4278      * Returns the pem encoded representation of the private key
4279      * If the key doesn't exists a new key will be created
4280      * @returns {string} pem encoded representation of the private key WITH header and footer
4281      * @public
4282      */
4283     JSEncrypt.prototype.getPrivateKey = function () {
4284         // Return the private representation of this key.
4285         return this.getKey().getPrivateKey();
4286     };
4287 
4288     /**
4289      * Returns the pem encoded representation of the private key
4290      * If the key doesn't exists a new key will be created
4291      * @returns {string} pem encoded representation of the private key WITHOUT header and footer
4292      * @public
4293      */
4294     JSEncrypt.prototype.getPrivateKeyB64 = function () {
4295         // Return the private representation of this key.
4296         return this.getKey().getPrivateBaseKeyB64();
4297     };
4298 
4299 
4300     /**
4301      * Returns the pem encoded representation of the public key
4302      * If the key doesn't exists a new key will be created
4303      * @returns {string} pem encoded representation of the public key WITH header and footer
4304      * @public
4305      */
4306     JSEncrypt.prototype.getPublicKey = function () {
4307         // Return the private representation of this key.
4308         return this.getKey().getPublicKey();
4309     };
4310 
4311     /**
4312      * Returns the pem encoded representation of the public key
4313      * If the key doesn't exists a new key will be created
4314      * @returns {string} pem encoded representation of the public key WITHOUT header and footer
4315      * @public
4316      */
4317     JSEncrypt.prototype.getPublicKeyB64 = function () {
4318         // Return the private representation of this key.
4319         return this.getKey().getPublicBaseKeyB64();
4320     };
4321 
4322     exports.JSEncrypt = JSEncrypt;
4323 })(JSEncryptExports);
4324 var JSEncrypt = JSEncryptExports.JSEncrypt;
View Code

JS加密代码

var publicKey = "替换为Java后台生成的公钥";
var encrypt = new JSEncrypt();
encrypt.setPublicKey(publicKey);
// 这里输出加密后的字符串
console.log(encrypt.encrypt("你好asd1"));

将JS加密后的字符串传递给Java的解密函数,解密即可得到原文。

 

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