RSA与AES实现数据加密传输

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）

var JSEncryptExports = {};
(function(exports) {
// Copyright (c) 2005  Tom Wu
// All Rights Reserved.
// See "LICENSE" for details.

// Basic JavaScript BN library - subset useful for RSA encryption.

// Bits per digit
    var dbits;

// JavaScript engine analysis
    var canary = 0xdeadbeefcafe;
    var j_lm = ((canary&0xffffff)==0xefcafe);

// (public) Constructor
    function BigInteger(a,b,c) {
        if(a != null)
            if("number" == typeof a) this.fromNumber(a,b,c);
            else if(b == null && "string" != typeof a) this.fromString(a,256);
            else this.fromString(a,b);
    }

// return new, unset BigInteger
    function nbi() { return new BigInteger(null); }

// am: Compute w_j += (x*this_i), propagate carries,
// c is initial carry, returns final carry.
// c < 3*dvalue, x < 2*dvalue, this_i < dvalue
// We need to select the fastest one that works in this environment.

// am1: use a single mult and divide to get the high bits,
// max digit bits should be 26 because
// max internal value = 2*dvalue^2-2*dvalue (< 2^53)
    function am1(i,x,w,j,c,n) {
        while(--n >= 0) {
            var v = x*this[i++]+w[j]+c;
            c = Math.floor(v/0x4000000);
            w[j++] = v&0x3ffffff;
        }
        return c;
    }
// am2 avoids a big mult-and-extract completely.
// Max digit bits should be <= 30 because we do bitwise ops
// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
    function am2(i,x,w,j,c,n) {
        var xl = x&0x7fff, xh = x>>15;
        while(--n >= 0) {
            var l = this[i]&0x7fff;
            var h = this[i++]>>15;
            var m = xh*l+h*xl;
            l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff);
            c = (l>>>30)+(m>>>15)+xh*h+(c>>>30);
            w[j++] = l&0x3fffffff;
        }
        return c;
    }
// Alternately, set max digit bits to 28 since some
// browsers slow down when dealing with 32-bit numbers.
    function am3(i,x,w,j,c,n) {
        var xl = x&0x3fff, xh = x>>14;
        while(--n >= 0) {
            var l = this[i]&0x3fff;
            var h = this[i++]>>14;
            var m = xh*l+h*xl;
            l = xl*l+((m&0x3fff)<<14)+w[j]+c;
            c = (l>>28)+(m>>14)+xh*h;
            w[j++] = l&0xfffffff;
        }
        return c;
    }
    if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) {
        BigInteger.prototype.am = am2;
        dbits = 30;
    }
    else if(j_lm && (navigator.appName != "Netscape")) {
        BigInteger.prototype.am = am1;
        dbits = 26;
    }
    else { // Mozilla/Netscape seems to prefer am3
        BigInteger.prototype.am = am3;
        dbits = 28;
    }

    BigInteger.prototype.DB = dbits;
    BigInteger.prototype.DM = ((1<<dbits)-1);
    BigInteger.prototype.DV = (1<<dbits);

    var BI_FP = 52;
    BigInteger.prototype.FV = Math.pow(2,BI_FP);
    BigInteger.prototype.F1 = BI_FP-dbits;
    BigInteger.prototype.F2 = 2*dbits-BI_FP;

// Digit conversions
    var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
    var BI_RC = new Array();
    var rr,vv;
    rr = "0".charCodeAt(0);
    for(vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv;
    rr = "a".charCodeAt(0);
    for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
    rr = "A".charCodeAt(0);
    for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;

    function int2char(n) { return BI_RM.charAt(n); }
    function intAt(s,i) {
        var c = BI_RC[s.charCodeAt(i)];
        return (c==null)?-1:c;
    }

// (protected) copy this to r
    function bnpCopyTo(r) {
        for(var i = this.t-1; i >= 0; --i) r[i] = this[i];
        r.t = this.t;
        r.s = this.s;
    }

// (protected) set from integer value x, -DV <= x < DV
    function bnpFromInt(x) {
        this.t = 1;
        this.s = (x<0)?-1:0;
        if(x > 0) this[0] = x;
        else if(x < -1) this[0] = x+this.DV;
        else this.t = 0;
    }

// return bigint initialized to value
    function nbv(i) { var r = nbi(); r.fromInt(i); return r; }

// (protected) set from string and radix
    function bnpFromString(s,b) {
        var k;
        if(b == 16) k = 4;
        else if(b == 8) k = 3;
        else if(b == 256) k = 8; // byte array
        else if(b == 2) k = 1;
        else if(b == 32) k = 5;
        else if(b == 4) k = 2;
        else { this.fromRadix(s,b); return; }
        this.t = 0;
        this.s = 0;
        var i = s.length, mi = false, sh = 0;
        while(--i >= 0) {
            var x = (k==8)?s[i]&0xff:intAt(s,i);
            if(x < 0) {
                if(s.charAt(i) == "-") mi = true;
                continue;
            }
            mi = false;
            if(sh == 0)
                this[this.t++] = x;
            else if(sh+k > this.DB) {
                this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<<sh;
                this[this.t++] = (x>>(this.DB-sh));
            }
            else
                this[this.t-1] |= x<<sh;
            sh += k;
            if(sh >= this.DB) sh -= this.DB;
        }
        if(k == 8 && (s[0]&0x80) != 0) {
            this.s = -1;
            if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)<<sh;
        }
        this.clamp();
        if(mi) BigInteger.ZERO.subTo(this,this);
    }

// (protected) clamp off excess high words
    function bnpClamp() {
        var c = this.s&this.DM;
        while(this.t > 0 && this[this.t-1] == c) --this.t;
    }

// (public) return string representation in given radix
    function bnToString(b) {
        if(this.s < 0) return "-"+this.negate().toString(b);
        var k;
        if(b == 16) k = 4;
        else if(b == 8) k = 3;
        else if(b == 2) k = 1;
        else if(b == 32) k = 5;
        else if(b == 4) k = 2;
        else return this.toRadix(b);
        var km = (1<<k)-1, d, m = false, r = "", i = this.t;
        var p = this.DB-(i*this.DB)%k;
        if(i-- > 0) {
            if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); }
            while(i >= 0) {
                if(p < k) {
                    d = (this[i]&((1<<p)-1))<<(k-p);
                    d |= this[--i]>>(p+=this.DB-k);
                }
                else {
                    d = (this[i]>>(p-=k))&km;
                    if(p <= 0) { p += this.DB; --i; }
                }
                if(d > 0) m = true;
                if(m) r += int2char(d);
            }
        }
        return m?r:"0";
    }

// (public) -this
    function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; }

// (public) |this|
    function bnAbs() { return (this.s<0)?this.negate():this; }

// (public) return + if this > a, - if this < a, 0 if equal
    function bnCompareTo(a) {
        var r = this.s-a.s;
        if(r != 0) return r;
        var i = this.t;
        r = i-a.t;
        if(r != 0) return (this.s<0)?-r:r;
        while(--i >= 0) if((r=this[i]-a[i]) != 0) return r;
        return 0;
    }

// returns bit length of the integer x
    function nbits(x) {
        var r = 1, t;
        if((t=x>>>16) != 0) { x = t; r += 16; }
        if((t=x>>8) != 0) { x = t; r += 8; }
        if((t=x>>4) != 0) { x = t; r += 4; }
        if((t=x>>2) != 0) { x = t; r += 2; }
        if((t=x>>1) != 0) { x = t; r += 1; }
        return r;
    }

// (public) return the number of bits in "this"
    function bnBitLength() {
        if(this.t <= 0) return 0;
        return this.DB*(this.t-1)+nbits(this[this.t-1]^(this.s&this.DM));
    }

// (protected) r = this << n*DB
    function bnpDLShiftTo(n,r) {
        var i;
        for(i = this.t-1; i >= 0; --i) r[i+n] = this[i];
        for(i = n-1; i >= 0; --i) r[i] = 0;
        r.t = this.t+n;
        r.s = this.s;
    }

// (protected) r = this >> n*DB
    function bnpDRShiftTo(n,r) {
        for(var i = n; i < this.t; ++i) r[i-n] = this[i];
        r.t = Math.max(this.t-n,0);
        r.s = this.s;
    }

// (protected) r = this << n
    function bnpLShiftTo(n,r) {
        var bs = n%this.DB;
        var cbs = this.DB-bs;
        var bm = (1<<cbs)-1;
        var ds = Math.floor(n/this.DB), c = (this.s<<bs)&this.DM, i;
        for(i = this.t-1; i >= 0; --i) {
            r[i+ds+1] = (this[i]>>cbs)|c;
            c = (this[i]&bm)<<bs;
        }
        for(i = ds-1; i >= 0; --i) r[i] = 0;
        r[ds] = c;
        r.t = this.t+ds+1;
        r.s = this.s;
        r.clamp();
    }

// (protected) r = this >> n
    function bnpRShiftTo(n,r) {
        r.s = this.s;
        var ds = Math.floor(n/this.DB);
        if(ds >= this.t) { r.t = 0; return; }
        var bs = n%this.DB;
        var cbs = this.DB-bs;
        var bm = (1<<bs)-1;
        r[0] = this[ds]>>bs;
        for(var i = ds+1; i < this.t; ++i) {
            r[i-ds-1] |= (this[i]&bm)<<cbs;
            r[i-ds] = this[i]>>bs;
        }
        if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<<cbs;
        r.t = this.t-ds;
        r.clamp();
    }

// (protected) r = this - a
    function bnpSubTo(a,r) {
        var i = 0, c = 0, m = Math.min(a.t,this.t);
        while(i < m) {
            c += this[i]-a[i];
            r[i++] = c&this.DM;
            c >>= this.DB;
        }
        if(a.t < this.t) {
            c -= a.s;
            while(i < this.t) {
                c += this[i];
                r[i++] = c&this.DM;
                c >>= this.DB;
            }
            c += this.s;
        }
        else {
            c += this.s;
            while(i < a.t) {
                c -= a[i];
                r[i++] = c&this.DM;
                c >>= this.DB;
            }
            c -= a.s;
        }
        r.s = (c<0)?-1:0;
        if(c < -1) r[i++] = this.DV+c;
        else if(c > 0) r[i++] = c;
        r.t = i;
        r.clamp();
    }

// (protected) r = this * a, r != this,a (HAC 14.12)
// "this" should be the larger one if appropriate.
    function bnpMultiplyTo(a,r) {
        var x = this.abs(), y = a.abs();
        var i = x.t;
        r.t = i+y.t;
        while(--i >= 0) r[i] = 0;
        for(i = 0; i < y.t; ++i) r[i+x.t] = x.am(0,y[i],r,i,0,x.t);
        r.s = 0;
        r.clamp();
        if(this.s != a.s) BigInteger.ZERO.subTo(r,r);
    }

// (protected) r = this^2, r != this (HAC 14.16)
    function bnpSquareTo(r) {
        var x = this.abs();
        var i = r.t = 2*x.t;
        while(--i >= 0) r[i] = 0;
        for(i = 0; i < x.t-1; ++i) {
            var c = x.am(i,x[i],r,2*i,0,1);
            if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1)) >= x.DV) {
                r[i+x.t] -= x.DV;
                r[i+x.t+1] = 1;
            }
        }
        if(r.t > 0) r[r.t-1] += x.am(i,x[i],r,2*i,0,1);
        r.s = 0;
        r.clamp();
    }

// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20)
// r != q, this != m.  q or r may be null.
    function bnpDivRemTo(m,q,r) {
        var pm = m.abs();
        if(pm.t <= 0) return;
        var pt = this.abs();
        if(pt.t < pm.t) {
            if(q != null) q.fromInt(0);
            if(r != null) this.copyTo(r);
            return;
        }
        if(r == null) r = nbi();
        var y = nbi(), ts = this.s, ms = m.s;
        var nsh = this.DB-nbits(pm[pm.t-1]);    // normalize modulus
        if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); }
        else { pm.copyTo(y); pt.copyTo(r); }
        var ys = y.t;
        var y0 = y[ys-1];
        if(y0 == 0) return;
        var yt = y0*(1<<this.F1)+((ys>1)?y[ys-2]>>this.F2:0);
        var d1 = this.FV/yt, d2 = (1<<this.F1)/yt, e = 1<<this.F2;
        var i = r.t, j = i-ys, t = (q==null)?nbi():q;
        y.dlShiftTo(j,t);
        if(r.compareTo(t) >= 0) {
            r[r.t++] = 1;
            r.subTo(t,r);
        }
        BigInteger.ONE.dlShiftTo(ys,t);
        t.subTo(y,y);    // "negative" y so we can replace sub with am later
        while(y.t < ys) y[y.t++] = 0;
        while(--j >= 0) {
            // Estimate quotient digit
            var qd = (r[--i]==y0)?this.DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2);
            if((r[i]+=y.am(0,qd,r,j,0,ys)) < qd) {    // Try it out
                y.dlShiftTo(j,t);
                r.subTo(t,r);
                while(r[i] < --qd) r.subTo(t,r);
            }
        }
        if(q != null) {
            r.drShiftTo(ys,q);
            if(ts != ms) BigInteger.ZERO.subTo(q,q);
        }
        r.t = ys;
        r.clamp();
        if(nsh > 0) r.rShiftTo(nsh,r);    // Denormalize remainder
        if(ts < 0) BigInteger.ZERO.subTo(r,r);
    }

// (public) this mod a
    function bnMod(a) {
        var r = nbi();
        this.abs().divRemTo(a,null,r);
        if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r);
        return r;
    }

// Modular reduction using "classic" algorithm
    function Classic(m) { this.m = m; }
    function cConvert(x) {
        if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m);
        else return x;
    }
    function cRevert(x) { return x; }
    function cReduce(x) { x.divRemTo(this.m,null,x); }
    function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
    function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); }

    Classic.prototype.convert = cConvert;
    Classic.prototype.revert = cRevert;
    Classic.prototype.reduce = cReduce;
    Classic.prototype.mulTo = cMulTo;
    Classic.prototype.sqrTo = cSqrTo;

// (protected) return "-1/this % 2^DB"; useful for Mont. reduction
// justification:
//         xy == 1 (mod m)
//         xy =  1+km
//   xy(2-xy) = (1+km)(1-km)
// x[y(2-xy)] = 1-k^2m^2
// x[y(2-xy)] == 1 (mod m^2)
// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2
// should reduce x and y(2-xy) by m^2 at each step to keep size bounded.
// JS multiply "overflows" differently from C/C++, so care is needed here.
    function bnpInvDigit() {
        if(this.t < 1) return 0;
        var x = this[0];
        if((x&1) == 0) return 0;
        var y = x&3;        // y == 1/x mod 2^2
        y = (y*(2-(x&0xf)*y))&0xf;    // y == 1/x mod 2^4
        y = (y*(2-(x&0xff)*y))&0xff;    // y == 1/x mod 2^8
        y = (y*(2-(((x&0xffff)*y)&0xffff)))&0xffff;    // y == 1/x mod 2^16
        // last step - calculate inverse mod DV directly;
        // assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints
        y = (y*(2-x*y%this.DV))%this.DV;        // y == 1/x mod 2^dbits
        // we really want the negative inverse, and -DV < y < DV
        return (y>0)?this.DV-y:-y;
    }

// Montgomery reduction
    function Montgomery(m) {
        this.m = m;
        this.mp = m.invDigit();
        this.mpl = this.mp&0x7fff;
        this.mph = this.mp>>15;
        this.um = (1<<(m.DB-15))-1;
        this.mt2 = 2*m.t;
    }

// xR mod m
    function montConvert(x) {
        var r = nbi();
        x.abs().dlShiftTo(this.m.t,r);
        r.divRemTo(this.m,null,r);
        if(x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r,r);
        return r;
    }

// x/R mod m
    function montRevert(x) {
        var r = nbi();
        x.copyTo(r);
        this.reduce(r);
        return r;
    }

// x = x/R mod m (HAC 14.32)
    function montReduce(x) {
        while(x.t <= this.mt2)    // pad x so am has enough room later
            x[x.t++] = 0;
        for(var i = 0; i < this.m.t; ++i) {
            // faster way of calculating u0 = x[i]*mp mod DV
            var j = x[i]&0x7fff;
            var u0 = (j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x.DM;
            // use am to combine the multiply-shift-add into one call
            j = i+this.m.t;
            x[j] += this.m.am(0,u0,x,i,0,this.m.t);
            // propagate carry
            while(x[j] >= x.DV) { x[j] -= x.DV; x[++j]++; }
        }
        x.clamp();
        x.drShiftTo(this.m.t,x);
        if(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
    }

// r = "x^2/R mod m"; x != r
    function montSqrTo(x,r) { x.squareTo(r); this.reduce(r); }

// r = "xy/R mod m"; x,y != r
    function montMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }

    Montgomery.prototype.convert = montConvert;
    Montgomery.prototype.revert = montRevert;
    Montgomery.prototype.reduce = montReduce;
    Montgomery.prototype.mulTo = montMulTo;
    Montgomery.prototype.sqrTo = montSqrTo;

// (protected) true iff this is even
    function bnpIsEven() { return ((this.t>0)?(this[0]&1):this.s) == 0; }

// (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79)
    function bnpExp(e,z) {
        if(e > 0xffffffff || e < 1) return BigInteger.ONE;
        var r = nbi(), r2 = nbi(), g = z.convert(this), i = nbits(e)-1;
        g.copyTo(r);
        while(--i >= 0) {
            z.sqrTo(r,r2);
            if((e&(1<<i)) > 0) z.mulTo(r2,g,r);
            else { var t = r; r = r2; r2 = t; }
        }
        return z.revert(r);
    }

// (public) this^e % m, 0 <= e < 2^32
    function bnModPowInt(e,m) {
        var z;
        if(e < 256 || m.isEven()) z = new Classic(m); else z = new Montgomery(m);
        return this.exp(e,z);
    }

// protected
    BigInteger.prototype.copyTo = bnpCopyTo;
    BigInteger.prototype.fromInt = bnpFromInt;
    BigInteger.prototype.fromString = bnpFromString;
    BigInteger.prototype.clamp = bnpClamp;
    BigInteger.prototype.dlShiftTo = bnpDLShiftTo;
    BigInteger.prototype.drShiftTo = bnpDRShiftTo;
    BigInteger.prototype.lShiftTo = bnpLShiftTo;
    BigInteger.prototype.rShiftTo = bnpRShiftTo;
    BigInteger.prototype.subTo = bnpSubTo;
    BigInteger.prototype.multiplyTo = bnpMultiplyTo;
    BigInteger.prototype.squareTo = bnpSquareTo;
    BigInteger.prototype.divRemTo = bnpDivRemTo;
    BigInteger.prototype.invDigit = bnpInvDigit;
    BigInteger.prototype.isEven = bnpIsEven;
    BigInteger.prototype.exp = bnpExp;

// public
    BigInteger.prototype.toString = bnToString;
    BigInteger.prototype.negate = bnNegate;
    BigInteger.prototype.abs = bnAbs;
    BigInteger.prototype.compareTo = bnCompareTo;
    BigInteger.prototype.bitLength = bnBitLength;
    BigInteger.prototype.mod = bnMod;
    BigInteger.prototype.modPowInt = bnModPowInt;

// "constants"
    BigInteger.ZERO = nbv(0);
    BigInteger.ONE = nbv(1);
// Copyright (c) 2005-2009  Tom Wu
// All Rights Reserved.
// See "LICENSE" for details.

// Extended JavaScript BN functions, required for RSA private ops.

// Version 1.1: new BigInteger("0", 10) returns "proper" zero
// Version 1.2: square() API, isProbablePrime fix

// (public)
    function bnClone() { var r = nbi(); this.copyTo(r); return r; }

// (public) return value as integer
    function bnIntValue() {
        if(this.s < 0) {
            if(this.t == 1) return this[0]-this.DV;
            else if(this.t == 0) return -1;
        }
        else if(this.t == 1) return this[0];
        else if(this.t == 0) return 0;
        // assumes 16 < DB < 32
        return ((this[1]&((1<<(32-this.DB))-1))<<this.DB)|this[0];
    }

// (public) return value as byte
    function bnByteValue() { return (this.t==0)?this.s:(this[0]<<24)>>24; }

// (public) return value as short (assumes DB>=16)
    function bnShortValue() { return (this.t==0)?this.s:(this[0]<<16)>>16; }

// (protected) return x s.t. r^x < DV
    function bnpChunkSize(r) { return Math.floor(Math.LN2*this.DB/Math.log(r)); }

// (public) 0 if this == 0, 1 if this > 0
    function bnSigNum() {
        if(this.s < 0) return -1;
        else if(this.t <= 0 || (this.t == 1 && this[0] <= 0)) return 0;
        else return 1;
    }

// (protected) convert to radix string
    function bnpToRadix(b) {
        if(b == null) b = 10;
        if(this.signum() == 0 || b < 2 || b > 36) return "0";
        var cs = this.chunkSize(b);
        var a = Math.pow(b,cs);
        var d = nbv(a), y = nbi(), z = nbi(), r = "";
        this.divRemTo(d,y,z);
        while(y.signum() > 0) {
            r = (a+z.intValue()).toString(b).substr(1) + r;
            y.divRemTo(d,y,z);
        }
        return z.intValue().toString(b) + r;
    }

// (protected) convert from radix string
    function bnpFromRadix(s,b) {
        this.fromInt(0);
        if(b == null) b = 10;
        var cs = this.chunkSize(b);
        var d = Math.pow(b,cs), mi = false, j = 0, w = 0;
        for(var i = 0; i < s.length; ++i) {
            var x = intAt(s,i);
            if(x < 0) {
                if(s.charAt(i) == "-" && this.signum() == 0) mi = true;
                continue;
            }
            w = b*w+x;
            if(++j >= cs) {
                this.dMultiply(d);
                this.dAddOffset(w,0);
                j = 0;
                w = 0;
            }
        }
        if(j > 0) {
            this.dMultiply(Math.pow(b,j));
            this.dAddOffset(w,0);
        }
        if(mi) BigInteger.ZERO.subTo(this,this);
    }

// (protected) alternate constructor
    function bnpFromNumber(a,b,c) {
        if("number" == typeof b) {
            // new BigInteger(int,int,RNG)
            if(a < 2) this.fromInt(1);
            else {
                this.fromNumber(a,c);
                if(!this.testBit(a-1))    // force MSB set
                    this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this);
                if(this.isEven()) this.dAddOffset(1,0); // force odd
                while(!this.isProbablePrime(b)) {
                    this.dAddOffset(2,0);
                    if(this.bitLength() > a) this.subTo(BigInteger.ONE.shiftLeft(a-1),this);
                }
            }
        }
        else {
            // new BigInteger(int,RNG)
            var x = new Array(), t = a&7;
            x.length = (a>>3)+1;
            b.nextBytes(x);
            if(t > 0) x[0] &= ((1<<t)-1); else x[0] = 0;
            this.fromString(x,256);
        }
    }

// (public) convert to bigendian byte array
    function bnToByteArray() {
        var i = this.t, r = new Array();
        r[0] = this.s;
        var p = this.DB-(i*this.DB)%8, d, k = 0;
        if(i-- > 0) {
            if(p < this.DB && (d = this[i]>>p) != (this.s&this.DM)>>p)
                r[k++] = d|(this.s<<(this.DB-p));
            while(i >= 0) {
                if(p < 8) {
                    d = (this[i]&((1<<p)-1))<<(8-p);
                    d |= this[--i]>>(p+=this.DB-8);
                }
                else {
                    d = (this[i]>>(p-=8))&0xff;
                    if(p <= 0) { p += this.DB; --i; }
                }
                if((d&0x80) != 0) d |= -256;
                if(k == 0 && (this.s&0x80) != (d&0x80)) ++k;
                if(k > 0 || d != this.s) r[k++] = d;
            }
        }
        return r;
    }

    function bnEquals(a) { return(this.compareTo(a)==0); }
    function bnMin(a) { return(this.compareTo(a)<0)?this:a; }
    function bnMax(a) { return(this.compareTo(a)>0)?this:a; }

// (protected) r = this op a (bitwise)
    function bnpBitwiseTo(a,op,r) {
        var i, f, m = Math.min(a.t,this.t);
        for(i = 0; i < m; ++i) r[i] = op(this[i],a[i]);
        if(a.t < this.t) {
            f = a.s&this.DM;
            for(i = m; i < this.t; ++i) r[i] = op(this[i],f);
            r.t = this.t;
        }
        else {
            f = this.s&this.DM;
            for(i = m; i < a.t; ++i) r[i] = op(f,a[i]);
            r.t = a.t;
        }
        r.s = op(this.s,a.s);
        r.clamp();
    }

// (public) this & a
    function op_and(x,y) { return x&y; }
    function bnAnd(a) { var r = nbi(); this.bitwiseTo(a,op_and,r); return r; }

// (public) this | a
    function op_or(x,y) { return x|y; }
    function bnOr(a) { var r = nbi(); this.bitwiseTo(a,op_or,r); return r; }

// (public) this ^ a
    function op_xor(x,y) { return x^y; }
    function bnXor(a) { var r = nbi(); this.bitwiseTo(a,op_xor,r); return r; }

// (public) this & ~a
    function op_andnot(x,y) { return x&~y; }
    function bnAndNot(a) { var r = nbi(); this.bitwiseTo(a,op_andnot,r); return r; }

// (public) ~this
    function bnNot() {
        var r = nbi();
        for(var i = 0; i < this.t; ++i) r[i] = this.DM&~this[i];
        r.t = this.t;
        r.s = ~this.s;
        return r;
    }

// (public) this << n
    function bnShiftLeft(n) {
        var r = nbi();
        if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r);
        return r;
    }

// (public) this >> n
    function bnShiftRight(n) {
        var r = nbi();
        if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r);
        return r;
    }

// return index of lowest 1-bit in x, x < 2^31
    function lbit(x) {
        if(x == 0) return -1;
        var r = 0;
        if((x&0xffff) == 0) { x >>= 16; r += 16; }
        if((x&0xff) == 0) { x >>= 8; r += 8; }
        if((x&0xf) == 0) { x >>= 4; r += 4; }
        if((x&3) == 0) { x >>= 2; r += 2; }
        if((x&1) == 0) ++r;
        return r;
    }

// (public) returns index of lowest 1-bit (or -1 if none)
    function bnGetLowestSetBit() {
        for(var i = 0; i < this.t; ++i)
            if(this[i] != 0) return i*this.DB+lbit(this[i]);
        if(this.s < 0) return this.t*this.DB;
        return -1;
    }

// return number of 1 bits in x
    function cbit(x) {
        var r = 0;
        while(x != 0) { x &= x-1; ++r; }
        return r;
    }

// (public) return number of set bits
    function bnBitCount() {
        var r = 0, x = this.s&this.DM;
        for(var i = 0; i < this.t; ++i) r += cbit(this[i]^x);
        return r;
    }

// (public) true iff nth bit is set
    function bnTestBit(n) {
        var j = Math.floor(n/this.DB);
        if(j >= this.t) return(this.s!=0);
        return((this[j]&(1<<(n%this.DB)))!=0);
    }

// (protected) this op (1<<n)
    function bnpChangeBit(n,op) {
        var r = BigInteger.ONE.shiftLeft(n);
        this.bitwiseTo(r,op,r);
        return r;
    }

// (public) this | (1<<n)
    function bnSetBit(n) { return this.changeBit(n,op_or); }

// (public) this & ~(1<<n)
    function bnClearBit(n) { return this.changeBit(n,op_andnot); }

// (public) this ^ (1<<n)
    function bnFlipBit(n) { return this.changeBit(n,op_xor); }

// (protected) r = this + a
    function bnpAddTo(a,r) {
        var i = 0, c = 0, m = Math.min(a.t,this.t);
        while(i < m) {
            c += this[i]+a[i];
            r[i++] = c&this.DM;
            c >>= this.DB;
        }
        if(a.t < this.t) {
            c += a.s;
            while(i < this.t) {
                c += this[i];
                r[i++] = c&this.DM;
                c >>= this.DB;
            }
            c += this.s;
        }
        else {
            c += this.s;
            while(i < a.t) {
                c += a[i];
                r[i++] = c&this.DM;
                c >>= this.DB;
            }
            c += a.s;
        }
        r.s = (c<0)?-1:0;
        if(c > 0) r[i++] = c;
        else if(c < -1) r[i++] = this.DV+c;
        r.t = i;
        r.clamp();
    }

// (public) this + a
    function bnAdd(a) { var r = nbi(); this.addTo(a,r); return r; }

// (public) this - a
    function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; }

// (public) this * a
    function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; }

// (public) this^2
    function bnSquare() { var r = nbi(); this.squareTo(r); return r; }

// (public) this / a
    function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; }

// (public) this % a
    function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; }

// (public) [this/a,this%a]
    function bnDivideAndRemainder(a) {
        var q = nbi(), r = nbi();
        this.divRemTo(a,q,r);
        return new Array(q,r);
    }

// (protected) this *= n, this >= 0, 1 < n < DV
    function bnpDMultiply(n) {
        this[this.t] = this.am(0,n-1,this,0,0,this.t);
        ++this.t;
        this.clamp();
    }

// (protected) this += n << w words, this >= 0
    function bnpDAddOffset(n,w) {
        if(n == 0) return;
        while(this.t <= w) this[this.t++] = 0;
        this[w] += n;
        while(this[w] >= this.DV) {
            this[w] -= this.DV;
            if(++w >= this.t) this[this.t++] = 0;
            ++this[w];
        }
    }

// A "null" reducer
    function NullExp() {}
    function nNop(x) { return x; }
    function nMulTo(x,y,r) { x.multiplyTo(y,r); }
    function nSqrTo(x,r) { x.squareTo(r); }

    NullExp.prototype.convert = nNop;
    NullExp.prototype.revert = nNop;
    NullExp.prototype.mulTo = nMulTo;
    NullExp.prototype.sqrTo = nSqrTo;

// (public) this^e
    function bnPow(e) { return this.exp(e,new NullExp()); }

// (protected) r = lower n words of "this * a", a.t <= n
// "this" should be the larger one if appropriate.
    function bnpMultiplyLowerTo(a,n,r) {
        var i = Math.min(this.t+a.t,n);
        r.s = 0; // assumes a,this >= 0
        r.t = i;
        while(i > 0) r[--i] = 0;
        var j;
        for(j = r.t-this.t; i < j; ++i) r[i+this.t] = this.am(0,a[i],r,i,0,this.t);
        for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a[i],r,i,0,n-i);
        r.clamp();
    }

// (protected) r = "this * a" without lower n words, n > 0
// "this" should be the larger one if appropriate.
    function bnpMultiplyUpperTo(a,n,r) {
        --n;
        var i = r.t = this.t+a.t-n;
        r.s = 0; // assumes a,this >= 0
        while(--i >= 0) r[i] = 0;
        for(i = Math.max(n-this.t,0); i < a.t; ++i)
            r[this.t+i-n] = this.am(n-i,a[i],r,0,0,this.t+i-n);
        r.clamp();
        r.drShiftTo(1,r);
    }

// Barrett modular reduction
    function Barrett(m) {
        // setup Barrett
        this.r2 = nbi();
        this.q3 = nbi();
        BigInteger.ONE.dlShiftTo(2*m.t,this.r2);
        this.mu = this.r2.divide(m);
        this.m = m;
    }

    function barrettConvert(x) {
        if(x.s < 0 || x.t > 2*this.m.t) return x.mod(this.m);
        else if(x.compareTo(this.m) < 0) return x;
        else { var r = nbi(); x.copyTo(r); this.reduce(r); return r; }
    }

    function barrettRevert(x) { return x; }

// x = x mod m (HAC 14.42)
    function barrettReduce(x) {
        x.drShiftTo(this.m.t-1,this.r2);
        if(x.t > this.m.t+1) { x.t = this.m.t+1; x.clamp(); }
        this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3);
        this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);
        while(x.compareTo(this.r2) < 0) x.dAddOffset(1,this.m.t+1);
        x.subTo(this.r2,x);
        while(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
    }

// r = x^2 mod m; x != r
    function barrettSqrTo(x,r) { x.squareTo(r); this.reduce(r); }

// r = x*y mod m; x,y != r
    function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }

    Barrett.prototype.convert = barrettConvert;
    Barrett.prototype.revert = barrettRevert;
    Barrett.prototype.reduce = barrettReduce;
    Barrett.prototype.mulTo = barrettMulTo;
    Barrett.prototype.sqrTo = barrettSqrTo;

// (public) this^e % m (HAC 14.85)
    function bnModPow(e,m) {
        var i = e.bitLength(), k, r = nbv(1), z;
        if(i <= 0) return r;
        else if(i < 18) k = 1;
        else if(i < 48) k = 3;
        else if(i < 144) k = 4;
        else if(i < 768) k = 5;
        else k = 6;
        if(i < 8)
            z = new Classic(m);
        else if(m.isEven())
            z = new Barrett(m);
        else
            z = new Montgomery(m);

        // precomputation
        var g = new Array(), n = 3, k1 = k-1, km = (1<<k)-1;
        g[1] = z.convert(this);
        if(k > 1) {
            var g2 = nbi();
            z.sqrTo(g[1],g2);
            while(n <= km) {
                g[n] = nbi();
                z.mulTo(g2,g[n-2],g[n]);
                n += 2;
            }
        }

        var j = e.t-1, w, is1 = true, r2 = nbi(), t;
        i = nbits(e[j])-1;
        while(j >= 0) {
            if(i >= k1) w = (e[j]>>(i-k1))&km;
            else {
                w = (e[j]&((1<<(i+1))-1))<<(k1-i);
                if(j > 0) w |= e[j-1]>>(this.DB+i-k1);
            }

            n = k;
            while((w&1) == 0) { w >>= 1; --n; }
            if((i -= n) < 0) { i += this.DB; --j; }
            if(is1) {    // ret == 1, don't bother squaring or multiplying it
                g[w].copyTo(r);
                is1 = false;
            }
            else {
                while(n > 1) { z.sqrTo(r,r2); z.sqrTo(r2,r); n -= 2; }
                if(n > 0) z.sqrTo(r,r2); else { t = r; r = r2; r2 = t; }
                z.mulTo(r2,g[w],r);
            }

            while(j >= 0 && (e[j]&(1<<i)) == 0) {
                z.sqrTo(r,r2); t = r; r = r2; r2 = t;
                if(--i < 0) { i = this.DB-1; --j; }
            }
        }
        return z.revert(r);
    }

// (public) gcd(this,a) (HAC 14.54)
    function bnGCD(a) {
        var x = (this.s<0)?this.negate():this.clone();
        var y = (a.s<0)?a.negate():a.clone();
        if(x.compareTo(y) < 0) { var t = x; x = y; y = t; }
        var i = x.getLowestSetBit(), g = y.getLowestSetBit();
        if(g < 0) return x;
        if(i < g) g = i;
        if(g > 0) {
            x.rShiftTo(g,x);
            y.rShiftTo(g,y);
        }
        while(x.signum() > 0) {
            if((i = x.getLowestSetBit()) > 0) x.rShiftTo(i,x);
            if((i = y.getLowestSetBit()) > 0) y.rShiftTo(i,y);
            if(x.compareTo(y) >= 0) {
                x.subTo(y,x);
                x.rShiftTo(1,x);
            }
            else {
                y.subTo(x,y);
                y.rShiftTo(1,y);
            }
        }
        if(g > 0) y.lShiftTo(g,y);
        return y;
    }

// (protected) this % n, n < 2^26
    function bnpModInt(n) {
        if(n <= 0) return 0;
        var d = this.DV%n, r = (this.s<0)?n-1:0;
        if(this.t > 0)
            if(d == 0) r = this[0]%n;
            else for(var i = this.t-1; i >= 0; --i) r = (d*r+this[i])%n;
        return r;
    }

// (public) 1/this % m (HAC 14.61)
    function bnModInverse(m) {
        var ac = m.isEven();
        if((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO;
        var u = m.clone(), v = this.clone();
        var a = nbv(1), b = nbv(0), c = nbv(0), d = nbv(1);
        while(u.signum() != 0) {
            while(u.isEven()) {
                u.rShiftTo(1,u);
                if(ac) {
                    if(!a.isEven() || !b.isEven()) { a.addTo(this,a); b.subTo(m,b); }
                    a.rShiftTo(1,a);
                }
                else if(!b.isEven()) b.subTo(m,b);
                b.rShiftTo(1,b);
            }
            while(v.isEven()) {
                v.rShiftTo(1,v);
                if(ac) {
                    if(!c.isEven() || !d.isEven()) { c.addTo(this,c); d.subTo(m,d); }
                    c.rShiftTo(1,c);
                }
                else if(!d.isEven()) d.subTo(m,d);
                d.rShiftTo(1,d);
            }
            if(u.compareTo(v) >= 0) {
                u.subTo(v,u);
                if(ac) a.subTo(c,a);
                b.subTo(d,b);
            }
            else {
                v.subTo(u,v);
                if(ac) c.subTo(a,c);
                d.subTo(b,d);
            }
        }
        if(v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO;
        if(d.compareTo(m) >= 0) return d.subtract(m);
        if(d.signum() < 0) d.addTo(m,d); else return d;
        if(d.signum() < 0) return d.add(m); else return d;
    }

    var lowprimes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997];
    var lplim = (1<<26)/lowprimes[lowprimes.length-1];

// (public) test primality with certainty >= 1-.5^t
    function bnIsProbablePrime(t) {
        var i, x = this.abs();
        if(x.t == 1 && x[0] <= lowprimes[lowprimes.length-1]) {
            for(i = 0; i < lowprimes.length; ++i)
                if(x[0] == lowprimes[i]) return true;
            return false;
        }
        if(x.isEven()) return false;
        i = 1;
        while(i < lowprimes.length) {
            var m = lowprimes[i], j = i+1;
            while(j < lowprimes.length && m < lplim) m *= lowprimes[j++];
            m = x.modInt(m);
            while(i < j) if(m%lowprimes[i++] == 0) return false;
        }
        return x.millerRabin(t);
    }

// (protected) true if probably prime (HAC 4.24, Miller-Rabin)
    function bnpMillerRabin(t) {
        var n1 = this.subtract(BigInteger.ONE);
        var k = n1.getLowestSetBit();
        if(k <= 0) return false;
        var r = n1.shiftRight(k);
        t = (t+1)>>1;
        if(t > lowprimes.length) t = lowprimes.length;
        var a = nbi();
        for(var i = 0; i < t; ++i) {
            //Pick bases at random, instead of starting at 2
            a.fromInt(lowprimes[Math.floor(Math.random()*lowprimes.length)]);
            var y = a.modPow(r,this);
            if(y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) {
                var j = 1;
                while(j++ < k && y.compareTo(n1) != 0) {
                    y = y.modPowInt(2,this);
                    if(y.compareTo(BigInteger.ONE) == 0) return false;
                }
                if(y.compareTo(n1) != 0) return false;
            }
        }
        return true;
    }

// protected
    BigInteger.prototype.chunkSize = bnpChunkSize;
    BigInteger.prototype.toRadix = bnpToRadix;
    BigInteger.prototype.fromRadix = bnpFromRadix;
    BigInteger.prototype.fromNumber = bnpFromNumber;
    BigInteger.prototype.bitwiseTo = bnpBitwiseTo;
    BigInteger.prototype.changeBit = bnpChangeBit;
    BigInteger.prototype.addTo = bnpAddTo;
    BigInteger.prototype.dMultiply = bnpDMultiply;
    BigInteger.prototype.dAddOffset = bnpDAddOffset;
    BigInteger.prototype.multiplyLowerTo = bnpMultiplyLowerTo;
    BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo;
    BigInteger.prototype.modInt = bnpModInt;
    BigInteger.prototype.millerRabin = bnpMillerRabin;

// public
    BigInteger.prototype.clone = bnClone;
    BigInteger.prototype.intValue = bnIntValue;
    BigInteger.prototype.byteValue = bnByteValue;
    BigInteger.prototype.shortValue = bnShortValue;
    BigInteger.prototype.signum = bnSigNum;
    BigInteger.prototype.toByteArray = bnToByteArray;
    BigInteger.prototype.equals = bnEquals;
    BigInteger.prototype.min = bnMin;
    BigInteger.prototype.max = bnMax;
    BigInteger.prototype.and = bnAnd;
    BigInteger.prototype.or = bnOr;
    BigInteger.prototype.xor = bnXor;
    BigInteger.prototype.andNot = bnAndNot;
    BigInteger.prototype.not = bnNot;
    BigInteger.prototype.shiftLeft = bnShiftLeft;
    BigInteger.prototype.shiftRight = bnShiftRight;
    BigInteger.prototype.getLowestSetBit = bnGetLowestSetBit;
    BigInteger.prototype.bitCount = bnBitCount;
    BigInteger.prototype.testBit = bnTestBit;
    BigInteger.prototype.setBit = bnSetBit;
    BigInteger.prototype.clearBit = bnClearBit;
    BigInteger.prototype.flipBit = bnFlipBit;
    BigInteger.prototype.add = bnAdd;
    BigInteger.prototype.subtract = bnSubtract;
    BigInteger.prototype.multiply = bnMultiply;
    BigInteger.prototype.divide = bnDivide;
    BigInteger.prototype.remainder = bnRemainder;
    BigInteger.prototype.divideAndRemainder = bnDivideAndRemainder;
    BigInteger.prototype.modPow = bnModPow;
    BigInteger.prototype.modInverse = bnModInverse;
    BigInteger.prototype.pow = bnPow;
    BigInteger.prototype.gcd = bnGCD;
    BigInteger.prototype.isProbablePrime = bnIsProbablePrime;

// JSBN-specific extension
    BigInteger.prototype.square = bnSquare;

// BigInteger interfaces not implemented in jsbn:

// BigInteger(int signum, byte[] magnitude)
// double doubleValue()
// float floatValue()
// int hashCode()
// long longValue()
// static BigInteger valueOf(long val)
// prng4.js - uses Arcfour as a PRNG

    function Arcfour() {
        this.i = 0;
        this.j = 0;
        this.S = new Array();
    }

// Initialize arcfour context from key, an array of ints, each from [0..255]
    function ARC4init(key) {
        var i, j, t;
        for(i = 0; i < 256; ++i)
            this.S[i] = i;
        j = 0;
        for(i = 0; i < 256; ++i) {
            j = (j + this.S[i] + key[i % key.length]) & 255;
            t = this.S[i];
            this.S[i] = this.S[j];
            this.S[j] = t;
        }
        this.i = 0;
        this.j = 0;
    }

    function ARC4next() {
        var t;
        this.i = (this.i + 1) & 255;
        this.j = (this.j + this.S[this.i]) & 255;
        t = this.S[this.i];
        this.S[this.i] = this.S[this.j];
        this.S[this.j] = t;
        return this.S[(t + this.S[this.i]) & 255];
    }

    Arcfour.prototype.init = ARC4init;
    Arcfour.prototype.next = ARC4next;

// Plug in your RNG constructor here
    function prng_newstate() {
        return new Arcfour();
    }

// Pool size must be a multiple of 4 and greater than 32.
// An array of bytes the size of the pool will be passed to init()
    var rng_psize = 256;
// Random number generator - requires a PRNG backend, e.g. prng4.js
    var rng_state;
    var rng_pool;
    var rng_pptr;

// Initialize the pool with junk if needed.
    if(rng_pool == null) {
        rng_pool = new Array();
        rng_pptr = 0;
        var t;
        if(window.crypto && window.crypto.getRandomValues) {
            // Extract entropy (2048 bits) from RNG if available
            var z = new Uint32Array(256);
            window.crypto.getRandomValues(z);
            for (t = 0; t < z.length; ++t)
                rng_pool[rng_pptr++] = z[t] & 255;
        }

        // Use mouse events for entropy, if we do not have enough entropy by the time
        // we need it, entropy will be generated by Math.random.
        var onMouseMoveListener = function(ev) {
            this.count = this.count || 0;
            if (this.count >= 256 || rng_pptr >= rng_psize) {
                if (window.removeEventListener)
                    window.removeEventListener("mousemove", onMouseMoveListener);
                else if (window.detachEvent)
                    window.detachEvent("onmousemove", onMouseMoveListener);
                return;
            }
            this.count += 1;
            var mouseCoordinates = ev.x + ev.y;
            rng_pool[rng_pptr++] = mouseCoordinates & 255;
        };
        if (window.addEventListener)
            window.addEventListener("mousemove", onMouseMoveListener);
        else if (window.attachEvent)
            window.attachEvent("onmousemove", onMouseMoveListener);

    }

    function rng_get_byte() {
        if(rng_state == null) {
            rng_state = prng_newstate();
            // At this point, we may not have collected enough entropy.  If not, fall back to Math.random
            while (rng_pptr < rng_psize) {
                var random = Math.floor(65536 * Math.random());
                rng_pool[rng_pptr++] = random & 255;
            }
            rng_state.init(rng_pool);
            for(rng_pptr = 0; rng_pptr < rng_pool.length; ++rng_pptr)
                rng_pool[rng_pptr] = 0;
            rng_pptr = 0;
        }
        // TODO: allow reseeding after first request
        return rng_state.next();
    }

    function rng_get_bytes(ba) {
        var i;
        for(i = 0; i < ba.length; ++i) ba[i] = rng_get_byte();
    }

    function SecureRandom() {}

    SecureRandom.prototype.nextBytes = rng_get_bytes;
// Depends on jsbn.js and rng.js

// Version 1.1: support utf-8 encoding in pkcs1pad2

// convert a (hex) string to a bignum object
    function parseBigInt(str,r) {
        return new BigInteger(str,r);
    }

    function linebrk(s,n) {
        var ret = "";
        var i = 0;
        while(i + n < s.length) {
            ret += s.substring(i,i+n) + "\n";
            i += n;
        }
        return ret + s.substring(i,s.length);
    }

    function byte2Hex(b) {
        if(b < 0x10)
            return "0" + b.toString(16);
        else
            return b.toString(16);
    }

// PKCS#1 (type 2, random) pad input string s to n bytes, and return a bigint
    function pkcs1pad2(s,n) {
        if(n < s.length + 11) { // TODO: fix for utf-8
            console.error("Message too long for RSA");
            return null;
        }
        var ba = new Array();
        var i = s.length - 1;
        while(i >= 0 && n > 0) {
            var c = s.charCodeAt(i--);
            if(c < 128) { // encode using utf-8
                ba[--n] = c;
            }
            else if((c > 127) && (c < 2048)) {
                ba[--n] = (c & 63) | 128;
                ba[--n] = (c >> 6) | 192;
            }
            else {
                ba[--n] = (c & 63) | 128;
                ba[--n] = ((c >> 6) & 63) | 128;
                ba[--n] = (c >> 12) | 224;
            }
        }
        ba[--n] = 0;
        var rng = new SecureRandom();
        var x = new Array();
        while(n > 2) { // random non-zero pad
            x[0] = 0;
            while(x[0] == 0) rng.nextBytes(x);
            ba[--n] = x[0];
        }
        ba[--n] = 2;
        ba[--n] = 0;
        return new BigInteger(ba);
    }

// "empty" RSA key constructor
    function RSAKey() {
        this.n = null;
        this.e = 0;
        this.d = null;
        this.p = null;
        this.q = null;
        this.dmp1 = null;
        this.dmq1 = null;
        this.coeff = null;
    }

// Set the public key fields N and e from hex strings
    function RSASetPublic(N,E) {
        if(N != null && E != null && N.length > 0 && E.length > 0) {
            this.n = parseBigInt(N,16);
            this.e = parseInt(E,16);
        }
        else
            console.error("Invalid RSA public key");
    }

// Perform raw public operation on "x": return x^e (mod n)
    function RSADoPublic(x) {
        return x.modPowInt(this.e, this.n);
    }

// Return the PKCS#1 RSA encryption of "text" as an even-length hex string
    function RSAEncrypt(text) {
        var m = pkcs1pad2(text,(this.n.bitLength()+7)>>3);
        if(m == null) return null;
        var c = this.doPublic(m);
        if(c == null) return null;
        var h = c.toString(16);
        if((h.length & 1) == 0) return h; else return "0" + h;
    }

// Return the PKCS#1 RSA encryption of "text" as a Base64-encoded string
//function RSAEncryptB64(text) {
//  var h = this.encrypt(text);
//  if(h) return hex2b64(h); else return null;
//}

// protected
    RSAKey.prototype.doPublic = RSADoPublic;

// public
    RSAKey.prototype.setPublic = RSASetPublic;
    RSAKey.prototype.encrypt = RSAEncrypt;
//RSAKey.prototype.encrypt_b64 = RSAEncryptB64;
// Depends on rsa.js and jsbn2.js

// Version 1.1: support utf-8 decoding in pkcs1unpad2

// Undo PKCS#1 (type 2, random) padding and, if valid, return the plaintext
    function pkcs1unpad2(d,n) {
        var b = d.toByteArray();
        var i = 0;
        while(i < b.length && b[i] == 0) ++i;
        if(b.length-i != n-1 || b[i] != 2)
            return null;
        ++i;
        while(b[i] != 0)
            if(++i >= b.length) return null;
        var ret = "";
        while(++i < b.length) {
            var c = b[i] & 255;
            if(c < 128) { // utf-8 decode
                ret += String.fromCharCode(c);
            }
            else if((c > 191) && (c < 224)) {
                ret += String.fromCharCode(((c & 31) << 6) | (b[i+1] & 63));
                ++i;
            }
            else {
                ret += String.fromCharCode(((c & 15) << 12) | ((b[i+1] & 63) << 6) | (b[i+2] & 63));
                i += 2;
            }
        }
        return ret;
    }

// Set the private key fields N, e, and d from hex strings
    function RSASetPrivate(N,E,D) {
        if(N != null && E != null && N.length > 0 && E.length > 0) {
            this.n = parseBigInt(N,16);
            this.e = parseInt(E,16);
            this.d = parseBigInt(D,16);
        }
        else
            console.error("Invalid RSA private key");
    }

// Set the private key fields N, e, d and CRT params from hex strings
    function RSASetPrivateEx(N,E,D,P,Q,DP,DQ,C) {
        if(N != null && E != null && N.length > 0 && E.length > 0) {
            this.n = parseBigInt(N,16);
            this.e = parseInt(E,16);
            this.d = parseBigInt(D,16);
            this.p = parseBigInt(P,16);
            this.q = parseBigInt(Q,16);
            this.dmp1 = parseBigInt(DP,16);
            this.dmq1 = parseBigInt(DQ,16);
            this.coeff = parseBigInt(C,16);
        }
        else
            console.error("Invalid RSA private key");
    }

// Generate a new random private key B bits long, using public expt E
    function RSAGenerate(B,E) {
        var rng = new SecureRandom();
        var qs = B>>1;
        this.e = parseInt(E,16);
        var ee = new BigInteger(E,16);
        for(;;) {
            for(;;) {
                this.p = new BigInteger(B-qs,1,rng);
                if(this.p.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.p.isProbablePrime(10)) break;
            }
            for(;;) {
                this.q = new BigInteger(qs,1,rng);
                if(this.q.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.q.isProbablePrime(10)) break;
            }
            if(this.p.compareTo(this.q) <= 0) {
                var t = this.p;
                this.p = this.q;
                this.q = t;
            }
            var p1 = this.p.subtract(BigInteger.ONE);
            var q1 = this.q.subtract(BigInteger.ONE);
            var phi = p1.multiply(q1);
            if(phi.gcd(ee).compareTo(BigInteger.ONE) == 0) {
                this.n = this.p.multiply(this.q);
                this.d = ee.modInverse(phi);
                this.dmp1 = this.d.mod(p1);
                this.dmq1 = this.d.mod(q1);
                this.coeff = this.q.modInverse(this.p);
                break;
            }
        }
    }

// Perform raw private operation on "x": return x^d (mod n)
    function RSADoPrivate(x) {
        if(this.p == null || this.q == null)
            return x.modPow(this.d, this.n);

        // TODO: re-calculate any missing CRT params
        var xp = x.mod(this.p).modPow(this.dmp1, this.p);
        var xq = x.mod(this.q).modPow(this.dmq1, this.q);

        while(xp.compareTo(xq) < 0)
            xp = xp.add(this.p);
        return xp.subtract(xq).multiply(this.coeff).mod(this.p).multiply(this.q).add(xq);
    }

// Return the PKCS#1 RSA decryption of "ctext".
// "ctext" is an even-length hex string and the output is a plain string.
    function RSADecrypt(ctext) {
        var c = parseBigInt(ctext, 16);
        var m = this.doPrivate(c);
        if(m == null) return null;
        return pkcs1unpad2(m, (this.n.bitLength()+7)>>3);
    }

// Return the PKCS#1 RSA decryption of "ctext".
// "ctext" is a Base64-encoded string and the output is a plain string.
//function RSAB64Decrypt(ctext) {
//  var h = b64tohex(ctext);
//  if(h) return this.decrypt(h); else return null;
//}

// protected
    RSAKey.prototype.doPrivate = RSADoPrivate;

// public
    RSAKey.prototype.setPrivate = RSASetPrivate;
    RSAKey.prototype.setPrivateEx = RSASetPrivateEx;
    RSAKey.prototype.generate = RSAGenerate;
    RSAKey.prototype.decrypt = RSADecrypt;
//RSAKey.prototype.b64_decrypt = RSAB64Decrypt;
// Copyright (c) 2011  Kevin M Burns Jr.
// All Rights Reserved.
// See "LICENSE" for details.
//
// Extension to jsbn which adds facilities for asynchronous RSA key generation
// Primarily created to avoid execution timeout on mobile devices
//
// http://www-cs-students.stanford.edu/~tjw/jsbn/
//
// ---

    (function(){

// Generate a new random private key B bits long, using public expt E
        var RSAGenerateAsync = function (B, E, callback) {
            //var rng = new SeededRandom();
            var rng = new SecureRandom();
            var qs = B >> 1;
            this.e = parseInt(E, 16);
            var ee = new BigInteger(E, 16);
            var rsa = this;
            // These functions have non-descript names because they were originally for(;;) loops.
            // I don't know about cryptography to give them better names than loop1-4.
            var loop1 = function() {
                var loop4 = function() {
                    if (rsa.p.compareTo(rsa.q) <= 0) {
                        var t = rsa.p;
                        rsa.p = rsa.q;
                        rsa.q = t;
                    }
                    var p1 = rsa.p.subtract(BigInteger.ONE);
                    var q1 = rsa.q.subtract(BigInteger.ONE);
                    var phi = p1.multiply(q1);
                    if (phi.gcd(ee).compareTo(BigInteger.ONE) == 0) {
                        rsa.n = rsa.p.multiply(rsa.q);
                        rsa.d = ee.modInverse(phi);
                        rsa.dmp1 = rsa.d.mod(p1);
                        rsa.dmq1 = rsa.d.mod(q1);
                        rsa.coeff = rsa.q.modInverse(rsa.p);
                        setTimeout(function(){callback()},0); // escape
                    } else {
                        setTimeout(loop1,0);
                    }
                };
                var loop3 = function() {
                    rsa.q = nbi();
                    rsa.q.fromNumberAsync(qs, 1, rng, function(){
                        rsa.q.subtract(BigInteger.ONE).gcda(ee, function(r){
                            if (r.compareTo(BigInteger.ONE) == 0 && rsa.q.isProbablePrime(10)) {
                                setTimeout(loop4,0);
                            } else {
                                setTimeout(loop3,0);
                            }
                        });
                    });
                };
                var loop2 = function() {
                    rsa.p = nbi();
                    rsa.p.fromNumberAsync(B - qs, 1, rng, function(){
                        rsa.p.subtract(BigInteger.ONE).gcda(ee, function(r){
                            if (r.compareTo(BigInteger.ONE) == 0 && rsa.p.isProbablePrime(10)) {
                                setTimeout(loop3,0);
                            } else {
                                setTimeout(loop2,0);
                            }
                        });
                    });
                };
                setTimeout(loop2,0);
            };
            setTimeout(loop1,0);
        };
        RSAKey.prototype.generateAsync = RSAGenerateAsync;

// Public API method
        var bnGCDAsync = function (a, callback) {
            var x = (this.s < 0) ? this.negate() : this.clone();
            var y = (a.s < 0) ? a.negate() : a.clone();
            if (x.compareTo(y) < 0) {
                var t = x;
                x = y;
                y = t;
            }
            var i = x.getLowestSetBit(),
                g = y.getLowestSetBit();
            if (g < 0) {
                callback(x);
                return;
            }
            if (i < g) g = i;
            if (g > 0) {
                x.rShiftTo(g, x);
                y.rShiftTo(g, y);
            }
            // Workhorse of the algorithm, gets called 200 - 800 times per 512 bit keygen.
            var gcda1 = function() {
                if ((i = x.getLowestSetBit()) > 0){ x.rShiftTo(i, x); }
                if ((i = y.getLowestSetBit()) > 0){ y.rShiftTo(i, y); }
                if (x.compareTo(y) >= 0) {
                    x.subTo(y, x);
                    x.rShiftTo(1, x);
                } else {
                    y.subTo(x, y);
                    y.rShiftTo(1, y);
                }
                if(!(x.signum() > 0)) {
                    if (g > 0) y.lShiftTo(g, y);
                    setTimeout(function(){callback(y)},0); // escape
                } else {
                    setTimeout(gcda1,0);
                }
            };
            setTimeout(gcda1,10);
        };
        BigInteger.prototype.gcda = bnGCDAsync;

// (protected) alternate constructor
        var bnpFromNumberAsync = function (a,b,c,callback) {
            if("number" == typeof b) {
                if(a < 2) {
                    this.fromInt(1);
                } else {
                    this.fromNumber(a,c);
                    if(!this.testBit(a-1)){
                        this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this);
                    }
                    if(this.isEven()) {
                        this.dAddOffset(1,0);
                    }
                    var bnp = this;
                    var bnpfn1 = function(){
                        bnp.dAddOffset(2,0);
                        if(bnp.bitLength() > a) bnp.subTo(BigInteger.ONE.shiftLeft(a-1),bnp);
                        if(bnp.isProbablePrime(b)) {
                            setTimeout(function(){callback()},0); // escape
                        } else {
                            setTimeout(bnpfn1,0);
                        }
                    };
                    setTimeout(bnpfn1,0);
                }
            } else {
                var x = new Array(), t = a&7;
                x.length = (a>>3)+1;
                b.nextBytes(x);
                if(t > 0) x[0] &= ((1<<t)-1); else x[0] = 0;
                this.fromString(x,256);
            }
        };
        BigInteger.prototype.fromNumberAsync = bnpFromNumberAsync;

    })();var b64map="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
    var b64pad="=";

    function hex2b64(h) {
        var i;
        var c;
        var ret = "";
        for(i = 0; i+3 <= h.length; i+=3) {
            c = parseInt(h.substring(i,i+3),16);
            ret += b64map.charAt(c >> 6) + b64map.charAt(c & 63);
        }
        if(i+1 == h.length) {
            c = parseInt(h.substring(i,i+1),16);
            ret += b64map.charAt(c << 2);
        }
        else if(i+2 == h.length) {
            c = parseInt(h.substring(i,i+2),16);
            ret += b64map.charAt(c >> 2) + b64map.charAt((c & 3) << 4);
        }
        while((ret.length & 3) > 0) ret += b64pad;
        return ret;
    }

// convert a base64 string to hex
    function b64tohex(s) {
        var ret = ""
        var i;
        var k = 0; // b64 state, 0-3
        var slop;
        for(i = 0; i < s.length; ++i) {
            if(s.charAt(i) == b64pad) break;
            v = b64map.indexOf(s.charAt(i));
            if(v < 0) continue;
            if(k == 0) {
                ret += int2char(v >> 2);
                slop = v & 3;
                k = 1;
            }
            else if(k == 1) {
                ret += int2char((slop << 2) | (v >> 4));
                slop = v & 0xf;
                k = 2;
            }
            else if(k == 2) {
                ret += int2char(slop);
                ret += int2char(v >> 2);
                slop = v & 3;
                k = 3;
            }
            else {
                ret += int2char((slop << 2) | (v >> 4));
                ret += int2char(v & 0xf);
                k = 0;
            }
        }
        if(k == 1)
            ret += int2char(slop << 2);
        return ret;
    }

// convert a base64 string to a byte/number array
    function b64toBA(s) {
        //piggyback on b64tohex for now, optimize later
        var h = b64tohex(s);
        var i;
        var a = new Array();
        for(i = 0; 2*i < h.length; ++i) {
            a[i] = parseInt(h.substring(2*i,2*i+2),16);
        }
        return a;
    }
    /*! asn1-1.0.2.js (c) 2013 Kenji Urushima | kjur.github.com/jsrsasign/license
 */

    var JSX = JSX || {};
    JSX.env = JSX.env || {};

    var L = JSX, OP = Object.prototype, FUNCTION_TOSTRING = '[object Function]',ADD = ["toString", "valueOf"];

    JSX.env.parseUA = function(agent) {

        var numberify = function(s) {
                var c = 0;
                return parseFloat(s.replace(/\./g, function() {
                    return (c++ == 1) ? '' : '.';
                }));
            },

            nav = navigator,
            o = {
                ie: 0,
                opera: 0,
                gecko: 0,
                webkit: 0,
                chrome: 0,
                mobile: null,
                air: 0,
                ipad: 0,
                iphone: 0,
                ipod: 0,
                ios: null,
                android: 0,
                webos: 0,
                caja: nav && nav.cajaVersion,
                secure: false,
                os: null

            },

            ua = agent || (navigator && navigator.userAgent),
            loc = window && window.location,
            href = loc && loc.href,
            m;

        o.secure = href && (href.toLowerCase().indexOf("https") === 0);

        if (ua) {

            if ((/windows|win32/i).test(ua)) {
                o.os = 'windows';
            } else if ((/macintosh/i).test(ua)) {
                o.os = 'macintosh';
            } else if ((/rhino/i).test(ua)) {
                o.os = 'rhino';
            }
            if ((/KHTML/).test(ua)) {
                o.webkit = 1;
            }
            m = ua.match(/AppleWebKit\/([^\s]*)/);
            if (m && m[1]) {
                o.webkit = numberify(m[1]);
                if (/ Mobile\//.test(ua)) {
                    o.mobile = 'Apple'; // iPhone or iPod Touch
                    m = ua.match(/OS ([^\s]*)/);
                    if (m && m[1]) {
                        m = numberify(m[1].replace('_', '.'));
                    }
                    o.ios = m;
                    o.ipad = o.ipod = o.iphone = 0;
                    m = ua.match(/iPad|iPod|iPhone/);
                    if (m && m[0]) {
                        o[m[0].toLowerCase()] = o.ios;
                    }
                } else {
                    m = ua.match(/NokiaN[^\/]*|Android \d\.\d|webOS\/\d\.\d/);
                    if (m) {
                        o.mobile = m[0];
                    }
                    if (/webOS/.test(ua)) {
                        o.mobile = 'WebOS';
                        m = ua.match(/webOS\/([^\s]*);/);
                        if (m && m[1]) {
                            o.webos = numberify(m[1]);
                        }
                    }
                    if (/ Android/.test(ua)) {
                        o.mobile = 'Android';
                        m = ua.match(/Android ([^\s]*);/);
                        if (m && m[1]) {
                            o.android = numberify(m[1]);
                        }
                    }
                }
                m = ua.match(/Chrome\/([^\s]*)/);
                if (m && m[1]) {
                    o.chrome = numberify(m[1]); // Chrome
                } else {
                    m = ua.match(/AdobeAIR\/([^\s]*)/);
                    if (m) {
                        o.air = m[0]; // Adobe AIR 1.0 or better
                    }
                }
            }
            if (!o.webkit) {
                m = ua.match(/Opera[\s\/]([^\s]*)/);
                if (m && m[1]) {
                    o.opera = numberify(m[1]);
                    m = ua.match(/Version\/([^\s]*)/);
                    if (m && m[1]) {
                        o.opera = numberify(m[1]); // opera 10+
                    }
                    m = ua.match(/Opera Mini[^;]*/);
                    if (m) {
                        o.mobile = m[0]; // ex: Opera Mini/2.0.4509/1316
                    }
                } else { // not opera or webkit
                    m = ua.match(/MSIE\s([^;]*)/);
                    if (m && m[1]) {
                        o.ie = numberify(m[1]);
                    } else { // not opera, webkit, or ie
                        m = ua.match(/Gecko\/([^\s]*)/);
                        if (m) {
                            o.gecko = 1; // Gecko detected, look for revision
                            m = ua.match(/rv:([^\s\)]*)/);
                            if (m && m[1]) {
                                o.gecko = numberify(m[1]);
                            }
                        }
                    }
                }
            }
        }
        return o;
    };

    JSX.env.ua = JSX.env.parseUA();

    JSX.isFunction = function(o) {
        return (typeof o === 'function') || OP.toString.apply(o) === FUNCTION_TOSTRING;
    };

    JSX._IEEnumFix = (JSX.env.ua.ie) ? function(r, s) {
        var i, fname, f;
        for (i=0;i<ADD.length;i=i+1) {

            fname = ADD[i];
            f = s[fname];

            if (L.isFunction(f) && f!=OP[fname]) {
                r[fname]=f;
            }
        }
    } : function(){};

    JSX.extend = function(subc, superc, overrides) {
        if (!superc||!subc) {
            throw new Error("extend failed, please check that " +
                "all dependencies are included.");
        }
        var F = function() {}, i;
        F.prototype=superc.prototype;
        subc.prototype=new F();
        subc.prototype.constructor=subc;
        subc.superclass=superc.prototype;
        if (superc.prototype.constructor == OP.constructor) {
            superc.prototype.constructor=superc;
        }

        if (overrides) {
            for (i in overrides) {
                if (L.hasOwnProperty(overrides, i)) {
                    subc.prototype[i]=overrides[i];
                }
            }

            L._IEEnumFix(subc.prototype, overrides);
        }
    };

    /*
 * asn1.js - ASN.1 DER encoder classes
 *
 * Copyright (c) 2013 Kenji Urushima (kenji.urushima@gmail.com)
 *
 * This software is licensed under the terms of the MIT License.
 * http://kjur.github.com/jsrsasign/license
 *
 * The above copyright and license notice shall be
 * included in all copies or substantial portions of the Software.
 */

    /**
     * @fileOverview
     * @name asn1-1.0.js
     * @author Kenji Urushima kenji.urushima@gmail.com
     * @version 1.0.2 (2013-May-30)
     * @since 2.1
     * @license <a href="http://kjur.github.io/jsrsasign/license/">MIT License</a>
     */

    /**
     * kjur's class library name space
     * <p>
     * This name space provides following name spaces:
     * <ul>
     * <li>{@link KJUR.asn1} - ASN.1 primitive hexadecimal encoder</li>
     * <li>{@link KJUR.asn1.x509} - ASN.1 structure for X.509 certificate and CRL</li>
     * <li>{@link KJUR.crypto} - Java Cryptographic Extension(JCE) style MessageDigest/Signature
     * class and utilities</li>
     * </ul>
     * </p>
     * NOTE: Please ignore method summary and document of this namespace. This caused by a bug of jsdoc2.
     * @name KJUR
     * @namespace kjur's class library name space
     */
    if (typeof KJUR == "undefined" || !KJUR) KJUR = {};

    /**
     * kjur's ASN.1 class library name space
     * <p>
     * This is ITU-T X.690 ASN.1 DER encoder class library and
     * class structure and methods is very similar to
     * org.bouncycastle.asn1 package of
     * well known BouncyCaslte Cryptography Library.
     *
     * <h4>PROVIDING ASN.1 PRIMITIVES</h4>
     * Here are ASN.1 DER primitive classes.
     * <ul>
     * <li>{@link KJUR.asn1.DERBoolean}</li>
     * <li>{@link KJUR.asn1.DERInteger}</li>
     * <li>{@link KJUR.asn1.DERBitString}</li>
     * <li>{@link KJUR.asn1.DEROctetString}</li>
     * <li>{@link KJUR.asn1.DERNull}</li>
     * <li>{@link KJUR.asn1.DERObjectIdentifier}</li>
     * <li>{@link KJUR.asn1.DERUTF8String}</li>
     * <li>{@link KJUR.asn1.DERNumericString}</li>
     * <li>{@link KJUR.asn1.DERPrintableString}</li>
     * <li>{@link KJUR.asn1.DERTeletexString}</li>
     * <li>{@link KJUR.asn1.DERIA5String}</li>
     * <li>{@link KJUR.asn1.DERUTCTime}</li>
     * <li>{@link KJUR.asn1.DERGeneralizedTime}</li>
     * <li>{@link KJUR.asn1.DERSequence}</li>
     * <li>{@link KJUR.asn1.DERSet}</li>
     * </ul>
     *
     * <h4>OTHER ASN.1 CLASSES</h4>
     * <ul>
     * <li>{@link KJUR.asn1.ASN1Object}</li>
     * <li>{@link KJUR.asn1.DERAbstractString}</li>
     * <li>{@link KJUR.asn1.DERAbstractTime}</li>
     * <li>{@link KJUR.asn1.DERAbstractStructured}</li>
     * <li>{@link KJUR.asn1.DERTaggedObject}</li>
     * </ul>
     * </p>
     * NOTE: Please ignore method summary and document of this namespace. This caused by a bug of jsdoc2.
     * @name KJUR.asn1
     * @namespace
     */
    if (typeof KJUR.asn1 == "undefined" || !KJUR.asn1) KJUR.asn1 = {};

    /**
     * ASN1 utilities class
     * @name KJUR.asn1.ASN1Util
     * @classs ASN1 utilities class
     * @since asn1 1.0.2
     */
    KJUR.asn1.ASN1Util = new function() {
        this.integerToByteHex = function(i) {
            var h = i.toString(16);
            if ((h.length % 2) == 1) h = '0' + h;
            return h;
        };
        this.bigIntToMinTwosComplementsHex = function(bigIntegerValue) {
            var h = bigIntegerValue.toString(16);
            if (h.substr(0, 1) != '-') {
                if (h.length % 2 == 1) {
                    h = '0' + h;
                } else {
                    if (! h.match(/^[0-7]/)) {
                        h = '00' + h;
                    }
                }
            } else {
                var hPos = h.substr(1);
                var xorLen = hPos.length;
                if (xorLen % 2 == 1) {
                    xorLen += 1;
                } else {
                    if (! h.match(/^[0-7]/)) {
                        xorLen += 2;
                    }
                }
                var hMask = '';
                for (var i = 0; i < xorLen; i++) {
                    hMask += 'f';
                }
                var biMask = new BigInteger(hMask, 16);
                var biNeg = biMask.xor(bigIntegerValue).add(BigInteger.ONE);
                h = biNeg.toString(16).replace(/^-/, '');
            }
            return h;
        };
        /**
         * get PEM string from hexadecimal data and header string
         * @name getPEMStringFromHex
         * @memberOf KJUR.asn1.ASN1Util
         * @function
         * @param {String} dataHex hexadecimal string of PEM body
         * @param {String} pemHeader PEM header string (ex. 'RSA PRIVATE KEY')
         * @return {String} PEM formatted string of input data
         * @description
         * @example
         * var pem  = KJUR.asn1.ASN1Util.getPEMStringFromHex('616161', 'RSA PRIVATE KEY');
         * // value of pem will be:
         * -----BEGIN PRIVATE KEY-----
         * YWFh
         * -----END PRIVATE KEY-----
         */
        this.getPEMStringFromHex = function(dataHex, pemHeader) {
            var dataWA = CryptoJS.enc.Hex.parse(dataHex);
            var dataB64 = CryptoJS.enc.Base64.stringify(dataWA);
            var pemBody = dataB64.replace(/(.{64})/g, "$1\r\n");
            pemBody = pemBody.replace(/\r\n$/, '');
            return "-----BEGIN " + pemHeader + "-----\r\n" +
                pemBody +
                "\r\n-----END " + pemHeader + "-----\r\n";
        };
    };

// ********************************************************************
//  Abstract ASN.1 Classes
// ********************************************************************

// ********************************************************************

    /**
     * base class for ASN.1 DER encoder object
     * @name KJUR.asn1.ASN1Object
     * @class base class for ASN.1 DER encoder object
     * @property {Boolean} isModified flag whether internal data was changed
     * @property {String} hTLV hexadecimal string of ASN.1 TLV
     * @property {String} hT hexadecimal string of ASN.1 TLV tag(T)
     * @property {String} hL hexadecimal string of ASN.1 TLV length(L)
     * @property {String} hV hexadecimal string of ASN.1 TLV value(V)
     * @description
     */
    KJUR.asn1.ASN1Object = function() {
        var isModified = true;
        var hTLV = null;
        var hT = '00'
        var hL = '00';
        var hV = '';

        /**
         * get hexadecimal ASN.1 TLV length(L) bytes from TLV value(V)
         * @name getLengthHexFromValue
         * @memberOf KJUR.asn1.ASN1Object
         * @function
         * @return {String} hexadecimal string of ASN.1 TLV length(L)
         */
        this.getLengthHexFromValue = function() {
            if (typeof this.hV == "undefined" || this.hV == null) {
                throw "this.hV is null or undefined.";
            }
            if (this.hV.length % 2 == 1) {
                throw "value hex must be even length: n=" + hV.length + ",v=" + this.hV;
            }
            var n = this.hV.length / 2;
            var hN = n.toString(16);
            if (hN.length % 2 == 1) {
                hN = "0" + hN;
            }
            if (n < 128) {
                return hN;
            } else {
                var hNlen = hN.length / 2;
                if (hNlen > 15) {
                    throw "ASN.1 length too long to represent by 8x: n = " + n.toString(16);
                }
                var head = 128 + hNlen;
                return head.toString(16) + hN;
            }
        };

        /**
         * get hexadecimal string of ASN.1 TLV bytes
         * @name getEncodedHex
         * @memberOf KJUR.asn1.ASN1Object
         * @function
         * @return {String} hexadecimal string of ASN.1 TLV
         */
        this.getEncodedHex = function() {
            if (this.hTLV == null || this.isModified) {
                this.hV = this.getFreshValueHex();
                this.hL = this.getLengthHexFromValue();
                this.hTLV = this.hT + this.hL + this.hV;
                this.isModified = false;
                //console.error("first time: " + this.hTLV);
            }
            return this.hTLV;
        };

        /**
         * get hexadecimal string of ASN.1 TLV value(V) bytes
         * @name getValueHex
         * @memberOf KJUR.asn1.ASN1Object
         * @function
         * @return {String} hexadecimal string of ASN.1 TLV value(V) bytes
         */
        this.getValueHex = function() {
            this.getEncodedHex();
            return this.hV;
        }

        this.getFreshValueHex = function() {
            return '';
        };
    };

// == BEGIN DERAbstractString ================================================
    /**
     * base class for ASN.1 DER string classes
     * @name KJUR.asn1.DERAbstractString
     * @class base class for ASN.1 DER string classes
     * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
     * @property {String} s internal string of value
     * @extends KJUR.asn1.ASN1Object
     * @description
     * <br/>
     * As for argument 'params' for constructor, you can specify one of
     * following properties:
     * <ul>
     * <li>str - specify initial ASN.1 value(V) by a string</li>
     * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
     * </ul>
     * NOTE: 'params' can be omitted.
     */
    KJUR.asn1.DERAbstractString = function(params) {
        KJUR.asn1.DERAbstractString.superclass.constructor.call(this);
        var s = null;
        var hV = null;

        /**
         * get string value of this string object
         * @name getString
         * @memberOf KJUR.asn1.DERAbstractString
         * @function
         * @return {String} string value of this string object
         */
        this.getString = function() {
            return this.s;
        };

        /**
         * set value by a string
         * @name setString
         * @memberOf KJUR.asn1.DERAbstractString
         * @function
         * @param {String} newS value by a string to set
         */
        this.setString = function(newS) {
            this.hTLV = null;
            this.isModified = true;
            this.s = newS;
            this.hV = stohex(this.s);
        };

        /**
         * set value by a hexadecimal string
         * @name setStringHex
         * @memberOf KJUR.asn1.DERAbstractString
         * @function
         * @param {String} newHexString value by a hexadecimal string to set
         */
        this.setStringHex = function(newHexString) {
            this.hTLV = null;
            this.isModified = true;
            this.s = null;
            this.hV = newHexString;
        };

        this.getFreshValueHex = function() {
            return this.hV;
        };

        if (typeof params != "undefined") {
            if (typeof params['str'] != "undefined") {
                this.setString(params['str']);
            } else if (typeof params['hex'] != "undefined") {
                this.setStringHex(params['hex']);
            }
        }
    };
    JSX.extend(KJUR.asn1.DERAbstractString, KJUR.asn1.ASN1Object);
// == END   DERAbstractString ================================================

// == BEGIN DERAbstractTime ==================================================
    /**
     * base class for ASN.1 DER Generalized/UTCTime class
     * @name KJUR.asn1.DERAbstractTime
     * @class base class for ASN.1 DER Generalized/UTCTime class
     * @param {Array} params associative array of parameters (ex. {'str': '130430235959Z'})
     * @extends KJUR.asn1.ASN1Object
     * @description
     * @see KJUR.asn1.ASN1Object - superclass
     */
    KJUR.asn1.DERAbstractTime = function(params) {
        KJUR.asn1.DERAbstractTime.superclass.constructor.call(this);
        var s = null;
        var date = null;

        // --- PRIVATE METHODS --------------------
        this.localDateToUTC = function(d) {
            utc = d.getTime() + (d.getTimezoneOffset() * 60000);
            var utcDate = new Date(utc);
            return utcDate;
        };

        this.formatDate = function(dateObject, type) {
            var pad = this.zeroPadding;
            var d = this.localDateToUTC(dateObject);
            var year = String(d.getFullYear());
            if (type == 'utc') year = year.substr(2, 2);
            var month = pad(String(d.getMonth() + 1), 2);
            var day = pad(String(d.getDate()), 2);
            var hour = pad(String(d.getHours()), 2);
            var min = pad(String(d.getMinutes()), 2);
            var sec = pad(String(d.getSeconds()), 2);
            return year + month + day + hour + min + sec + 'Z';
        };

        this.zeroPadding = function(s, len) {
            if (s.length >= len) return s;
            return new Array(len - s.length + 1).join('0') + s;
        };

        // --- PUBLIC METHODS --------------------
        /**
         * get string value of this string object
         * @name getString
         * @memberOf KJUR.asn1.DERAbstractTime
         * @function
         * @return {String} string value of this time object
         */
        this.getString = function() {
            return this.s;
        };

        /**
         * set value by a string
         * @name setString
         * @memberOf KJUR.asn1.DERAbstractTime
         * @function
         * @param {String} newS value by a string to set such like "130430235959Z"
         */
        this.setString = function(newS) {
            this.hTLV = null;
            this.isModified = true;
            this.s = newS;
            this.hV = stohex(this.s);
        };

        /**
         * set value by a Date object
         * @name setByDateValue
         * @memberOf KJUR.asn1.DERAbstractTime
         * @function
         * @param {Integer} year year of date (ex. 2013)
         * @param {Integer} month month of date between 1 and 12 (ex. 12)
         * @param {Integer} day day of month
         * @param {Integer} hour hours of date
         * @param {Integer} min minutes of date
         * @param {Integer} sec seconds of date
         */
        this.setByDateValue = function(year, month, day, hour, min, sec) {
            var dateObject = new Date(Date.UTC(year, month - 1, day, hour, min, sec, 0));
            this.setByDate(dateObject);
        };

        this.getFreshValueHex = function() {
            return this.hV;
        };
    };
    JSX.extend(KJUR.asn1.DERAbstractTime, KJUR.asn1.ASN1Object);
// == END   DERAbstractTime ==================================================

// == BEGIN DERAbstractStructured ============================================
    /**
     * base class for ASN.1 DER structured class
     * @name KJUR.asn1.DERAbstractStructured
     * @class base class for ASN.1 DER structured class
     * @property {Array} asn1Array internal array of ASN1Object
     * @extends KJUR.asn1.ASN1Object
     * @description
     * @see KJUR.asn1.ASN1Object - superclass
     */
    KJUR.asn1.DERAbstractStructured = function(params) {
        KJUR.asn1.DERAbstractString.superclass.constructor.call(this);
        var asn1Array = null;

        /**
         * set value by array of ASN1Object
         * @name setByASN1ObjectArray
         * @memberOf KJUR.asn1.DERAbstractStructured
         * @function
         * @param {array} asn1ObjectArray array of ASN1Object to set
         */
        this.setByASN1ObjectArray = function(asn1ObjectArray) {
            this.hTLV = null;
            this.isModified = true;
            this.asn1Array = asn1ObjectArray;
        };

        /**
         * append an ASN1Object to internal array
         * @name appendASN1Object
         * @memberOf KJUR.asn1.DERAbstractStructured
         * @function
         * @param {ASN1Object} asn1Object to add
         */
        this.appendASN1Object = function(asn1Object) {
            this.hTLV = null;
            this.isModified = true;
            this.asn1Array.push(asn1Object);
        };

        this.asn1Array = new Array();
        if (typeof params != "undefined") {
            if (typeof params['array'] != "undefined") {
                this.asn1Array = params['array'];
            }
        }
    };
    JSX.extend(KJUR.asn1.DERAbstractStructured, KJUR.asn1.ASN1Object);


// ********************************************************************
//  ASN.1 Object Classes
// ********************************************************************

// ********************************************************************
    /**
     * class for ASN.1 DER Boolean
     * @name KJUR.asn1.DERBoolean
     * @class class for ASN.1 DER Boolean
     * @extends KJUR.asn1.ASN1Object
     * @description
     * @see KJUR.asn1.ASN1Object - superclass
     */
    KJUR.asn1.DERBoolean = function() {
        KJUR.asn1.DERBoolean.superclass.constructor.call(this);
        this.hT = "01";
        this.hTLV = "0101ff";
    };
    JSX.extend(KJUR.asn1.DERBoolean, KJUR.asn1.ASN1Object);

// ********************************************************************
    /**
     * class for ASN.1 DER Integer
     * @name KJUR.asn1.DERInteger
     * @class class for ASN.1 DER Integer
     * @extends KJUR.asn1.ASN1Object
     * @description
     * <br/>
     * As for argument 'params' for constructor, you can specify one of
     * following properties:
     * <ul>
     * <li>int - specify initial ASN.1 value(V) by integer value</li>
     * <li>bigint - specify initial ASN.1 value(V) by BigInteger object</li>
     * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
     * </ul>
     * NOTE: 'params' can be omitted.
     */
    KJUR.asn1.DERInteger = function(params) {
        KJUR.asn1.DERInteger.superclass.constructor.call(this);
        this.hT = "02";

        /**
         * set value by Tom Wu's BigInteger object
         * @name setByBigInteger
         * @memberOf KJUR.asn1.DERInteger
         * @function
         * @param {BigInteger} bigIntegerValue to set
         */
        this.setByBigInteger = function(bigIntegerValue) {
            this.hTLV = null;
            this.isModified = true;
            this.hV = KJUR.asn1.ASN1Util.bigIntToMinTwosComplementsHex(bigIntegerValue);
        };

        /**
         * set value by integer value
         * @name setByInteger
         * @memberOf KJUR.asn1.DERInteger
         * @function
         * @param {Integer} integer value to set
         */
        this.setByInteger = function(intValue) {
            var bi = new BigInteger(String(intValue), 10);
            this.setByBigInteger(bi);
        };

        /**
         * set value by integer value
         * @name setValueHex
         * @memberOf KJUR.asn1.DERInteger
         * @function
         * @param {String} hexadecimal string of integer value
         * @description
         * <br/>
         * NOTE: Value shall be represented by minimum octet length of
         * two's complement representation.
         */
        this.setValueHex = function(newHexString) {
            this.hV = newHexString;
        };

        this.getFreshValueHex = function() {
            return this.hV;
        };

        if (typeof params != "undefined") {
            if (typeof params['bigint'] != "undefined") {
                this.setByBigInteger(params['bigint']);
            } else if (typeof params['int'] != "undefined") {
                this.setByInteger(params['int']);
            } else if (typeof params['hex'] != "undefined") {
                this.setValueHex(params['hex']);
            }
        }
    };
    JSX.extend(KJUR.asn1.DERInteger, KJUR.asn1.ASN1Object);

// ********************************************************************
    /**
     * class for ASN.1 DER encoded BitString primitive
     * @name KJUR.asn1.DERBitString
     * @class class for ASN.1 DER encoded BitString primitive
     * @extends KJUR.asn1.ASN1Object
     * @description
     * <br/>
     * As for argument 'params' for constructor, you can specify one of
     * following properties:
     * <ul>
     * <li>bin - specify binary string (ex. '10111')</li>
     * <li>array - specify array of boolean (ex. [true,false,true,true])</li>
     * <li>hex - specify hexadecimal string of ASN.1 value(V) including unused bits</li>
     * </ul>
     * NOTE: 'params' can be omitted.
     */
    KJUR.asn1.DERBitString = function(params) {
        KJUR.asn1.DERBitString.superclass.constructor.call(this);
        this.hT = "03";

        /**
         * set ASN.1 value(V) by a hexadecimal string including unused bits
         * @name setHexValueIncludingUnusedBits
         * @memberOf KJUR.asn1.DERBitString
         * @function
         * @param {String} newHexStringIncludingUnusedBits
         */
        this.setHexValueIncludingUnusedBits = function(newHexStringIncludingUnusedBits) {
            this.hTLV = null;
            this.isModified = true;
            this.hV = newHexStringIncludingUnusedBits;
        };

        /**
         * set ASN.1 value(V) by unused bit and hexadecimal string of value
         * @name setUnusedBitsAndHexValue
         * @memberOf KJUR.asn1.DERBitString
         * @function
         * @param {Integer} unusedBits
         * @param {String} hValue
         */
        this.setUnusedBitsAndHexValue = function(unusedBits, hValue) {
            if (unusedBits < 0 || 7 < unusedBits) {
                throw "unused bits shall be from 0 to 7: u = " + unusedBits;
            }
            var hUnusedBits = "0" + unusedBits;
            this.hTLV = null;
            this.isModified = true;
            this.hV = hUnusedBits + hValue;
        };

        /**
         * set ASN.1 DER BitString by binary string
         * @name setByBinaryString
         * @memberOf KJUR.asn1.DERBitString
         * @function
         * @param {String} binaryString binary value string (i.e. '10111')
         * @description
         * Its unused bits will be calculated automatically by length of
         * 'binaryValue'. <br/>
         * NOTE: Trailing zeros '0' will be ignored.
         */
        this.setByBinaryString = function(binaryString) {
            binaryString = binaryString.replace(/0+$/, '');
            var unusedBits = 8 - binaryString.length % 8;
            if (unusedBits == 8) unusedBits = 0;
            for (var i = 0; i <= unusedBits; i++) {
                binaryString += '0';
            }
            var h = '';
            for (var i = 0; i < binaryString.length - 1; i += 8) {
                var b = binaryString.substr(i, 8);
                var x = parseInt(b, 2).toString(16);
                if (x.length == 1) x = '0' + x;
                h += x;
            }
            this.hTLV = null;
            this.isModified = true;
            this.hV = '0' + unusedBits + h;
        };

        /**
         * set ASN.1 TLV value(V) by an array of boolean
         * @name setByBooleanArray
         * @memberOf KJUR.asn1.DERBitString
         * @function
         * @param {array} booleanArray array of boolean (ex. [true, false, true])
         * @description
         * NOTE: Trailing falses will be ignored.
         */
        this.setByBooleanArray = function(booleanArray) {
            var s = '';
            for (var i = 0; i < booleanArray.length; i++) {
                if (booleanArray[i] == true) {
                    s += '1';
                } else {
                    s += '0';
                }
            }
            this.setByBinaryString(s);
        };

        /**
         * generate an array of false with specified length
         * @name newFalseArray
         * @memberOf KJUR.asn1.DERBitString
         * @function
         * @param {Integer} nLength length of array to generate
         * @return {array} array of boolean faluse
         * @description
         * This static method may be useful to initialize boolean array.
         */
        this.newFalseArray = function(nLength) {
            var a = new Array(nLength);
            for (var i = 0; i < nLength; i++) {
                a[i] = false;
            }
            return a;
        };

        this.getFreshValueHex = function() {
            return this.hV;
        };

        if (typeof params != "undefined") {
            if (typeof params['hex'] != "undefined") {
                this.setHexValueIncludingUnusedBits(params['hex']);
            } else if (typeof params['bin'] != "undefined") {
                this.setByBinaryString(params['bin']);
            } else if (typeof params['array'] != "undefined") {
                this.setByBooleanArray(params['array']);
            }
        }
    };
    JSX.extend(KJUR.asn1.DERBitString, KJUR.asn1.ASN1Object);

// ********************************************************************
    /**
     * class for ASN.1 DER OctetString
     * @name KJUR.asn1.DEROctetString
     * @class class for ASN.1 DER OctetString
     * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
     * @extends KJUR.asn1.DERAbstractString
     * @description
     * @see KJUR.asn1.DERAbstractString - superclass
     */
    KJUR.asn1.DEROctetString = function(params) {
        KJUR.asn1.DEROctetString.superclass.constructor.call(this, params);
        this.hT = "04";
    };
    JSX.extend(KJUR.asn1.DEROctetString, KJUR.asn1.DERAbstractString);

// ********************************************************************
    /**
     * class for ASN.1 DER Null
     * @name KJUR.asn1.DERNull
     * @class class for ASN.1 DER Null
     * @extends KJUR.asn1.ASN1Object
     * @description
     * @see KJUR.asn1.ASN1Object - superclass
     */
    KJUR.asn1.DERNull = function() {
        KJUR.asn1.DERNull.superclass.constructor.call(this);
        this.hT = "05";
        this.hTLV = "0500";
    };
    JSX.extend(KJUR.asn1.DERNull, KJUR.asn1.ASN1Object);

// ********************************************************************
    /**
     * class for ASN.1 DER ObjectIdentifier
     * @name KJUR.asn1.DERObjectIdentifier
     * @class class for ASN.1 DER ObjectIdentifier
     * @param {Array} params associative array of parameters (ex. {'oid': '2.5.4.5'})
     * @extends KJUR.asn1.ASN1Object
     * @description
     * <br/>
     * As for argument 'params' for constructor, you can specify one of
     * following properties:
     * <ul>
     * <li>oid - specify initial ASN.1 value(V) by a oid string (ex. 2.5.4.13)</li>
     * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
     * </ul>
     * NOTE: 'params' can be omitted.
     */
    KJUR.asn1.DERObjectIdentifier = function(params) {
        var itox = function(i) {
            var h = i.toString(16);
            if (h.length == 1) h = '0' + h;
            return h;
        };
        var roidtox = function(roid) {
            var h = '';
            var bi = new BigInteger(roid, 10);
            var b = bi.toString(2);
            var padLen = 7 - b.length % 7;
            if (padLen == 7) padLen = 0;
            var bPad = '';
            for (var i = 0; i < padLen; i++) bPad += '0';
            b = bPad + b;
            for (var i = 0; i < b.length - 1; i += 7) {
                var b8 = b.substr(i, 7);
                if (i != b.length - 7) b8 = '1' + b8;
                h += itox(parseInt(b8, 2));
            }
            return h;
        }

        KJUR.asn1.DERObjectIdentifier.superclass.constructor.call(this);
        this.hT = "06";

        /**
         * set value by a hexadecimal string
         * @name setValueHex
         * @memberOf KJUR.asn1.DERObjectIdentifier
         * @function
         * @param {String} newHexString hexadecimal value of OID bytes
         */
        this.setValueHex = function(newHexString) {
            this.hTLV = null;
            this.isModified = true;
            this.s = null;
            this.hV = newHexString;
        };

        /**
         * set value by a OID string
         * @name setValueOidString
         * @memberOf KJUR.asn1.DERObjectIdentifier
         * @function
         * @param {String} oidString OID string (ex. 2.5.4.13)
         */
        this.setValueOidString = function(oidString) {
            if (! oidString.match(/^[0-9.]+$/)) {
                throw "malformed oid string: " + oidString;
            }
            var h = '';
            var a = oidString.split('.');
            var i0 = parseInt(a[0]) * 40 + parseInt(a[1]);
            h += itox(i0);
            a.splice(0, 2);
            for (var i = 0; i < a.length; i++) {
                h += roidtox(a[i]);
            }
            this.hTLV = null;
            this.isModified = true;
            this.s = null;
            this.hV = h;
        };

        /**
         * set value by a OID name
         * @name setValueName
         * @memberOf KJUR.asn1.DERObjectIdentifier
         * @function
         * @param {String} oidName OID name (ex. 'serverAuth')
         * @since 1.0.1
         * @description
         * OID name shall be defined in 'KJUR.asn1.x509.OID.name2oidList'.
         * Otherwise raise error.
         */
        this.setValueName = function(oidName) {
            if (typeof KJUR.asn1.x509.OID.name2oidList[oidName] != "undefined") {
                var oid = KJUR.asn1.x509.OID.name2oidList[oidName];
                this.setValueOidString(oid);
            } else {
                throw "DERObjectIdentifier oidName undefined: " + oidName;
            }
        };

        this.getFreshValueHex = function() {
            return this.hV;
        };

        if (typeof params != "undefined") {
            if (typeof params['oid'] != "undefined") {
                this.setValueOidString(params['oid']);
            } else if (typeof params['hex'] != "undefined") {
                this.setValueHex(params['hex']);
            } else if (typeof params['name'] != "undefined") {
                this.setValueName(params['name']);
            }
        }
    };
    JSX.extend(KJUR.asn1.DERObjectIdentifier, KJUR.asn1.ASN1Object);

// ********************************************************************
    /**
     * class for ASN.1 DER UTF8String
     * @name KJUR.asn1.DERUTF8String
     * @class class for ASN.1 DER UTF8String
     * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
     * @extends KJUR.asn1.DERAbstractString
     * @description
     * @see KJUR.asn1.DERAbstractString - superclass
     */
    KJUR.asn1.DERUTF8String = function(params) {
        KJUR.asn1.DERUTF8String.superclass.constructor.call(this, params);
        this.hT = "0c";
    };
    JSX.extend(KJUR.asn1.DERUTF8String, KJUR.asn1.DERAbstractString);

// ********************************************************************
    /**
     * class for ASN.1 DER NumericString
     * @name KJUR.asn1.DERNumericString
     * @class class for ASN.1 DER NumericString
     * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
     * @extends KJUR.asn1.DERAbstractString
     * @description
     * @see KJUR.asn1.DERAbstractString - superclass
     */
    KJUR.asn1.DERNumericString = function(params) {
        KJUR.asn1.DERNumericString.superclass.constructor.call(this, params);
        this.hT = "12";
    };
    JSX.extend(KJUR.asn1.DERNumericString, KJUR.asn1.DERAbstractString);

// ********************************************************************
    /**
     * class for ASN.1 DER PrintableString
     * @name KJUR.asn1.DERPrintableString
     * @class class for ASN.1 DER PrintableString
     * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
     * @extends KJUR.asn1.DERAbstractString
     * @description
     * @see KJUR.asn1.DERAbstractString - superclass
     */
    KJUR.asn1.DERPrintableString = function(params) {
        KJUR.asn1.DERPrintableString.superclass.constructor.call(this, params);
        this.hT = "13";
    };
    JSX.extend(KJUR.asn1.DERPrintableString, KJUR.asn1.DERAbstractString);

// ********************************************************************
    /**
     * class for ASN.1 DER TeletexString
     * @name KJUR.asn1.DERTeletexString
     * @class class for ASN.1 DER TeletexString
     * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
     * @extends KJUR.asn1.DERAbstractString
     * @description
     * @see KJUR.asn1.DERAbstractString - superclass
     */
    KJUR.asn1.DERTeletexString = function(params) {
        KJUR.asn1.DERTeletexString.superclass.constructor.call(this, params);
        this.hT = "14";
    };
    JSX.extend(KJUR.asn1.DERTeletexString, KJUR.asn1.DERAbstractString);

// ********************************************************************
    /**
     * class for ASN.1 DER IA5String
     * @name KJUR.asn1.DERIA5String
     * @class class for ASN.1 DER IA5String
     * @param {Array} params associative array of parameters (ex. {'str': 'aaa'})
     * @extends KJUR.asn1.DERAbstractString
     * @description
     * @see KJUR.asn1.DERAbstractString - superclass
     */
    KJUR.asn1.DERIA5String = function(params) {
        KJUR.asn1.DERIA5String.superclass.constructor.call(this, params);
        this.hT = "16";
    };
    JSX.extend(KJUR.asn1.DERIA5String, KJUR.asn1.DERAbstractString);

// ********************************************************************
    /**
     * class for ASN.1 DER UTCTime
     * @name KJUR.asn1.DERUTCTime
     * @class class for ASN.1 DER UTCTime
     * @param {Array} params associative array of parameters (ex. {'str': '130430235959Z'})
     * @extends KJUR.asn1.DERAbstractTime
     * @description
     * <br/>
     * As for argument 'params' for constructor, you can specify one of
     * following properties:
     * <ul>
     * <li>str - specify initial ASN.1 value(V) by a string (ex.'130430235959Z')</li>
     * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
     * <li>date - specify Date object.</li>
     * </ul>
     * NOTE: 'params' can be omitted.
     * <h4>EXAMPLES</h4>
     * @example
     * var d1 = new KJUR.asn1.DERUTCTime();
     * d1.setString('130430125959Z');
     *
     * var d2 = new KJUR.asn1.DERUTCTime({'str': '130430125959Z'});
     *
     * var d3 = new KJUR.asn1.DERUTCTime({'date': new Date(Date.UTC(2015, 0, 31, 0, 0, 0, 0))});
     */
    KJUR.asn1.DERUTCTime = function(params) {
        KJUR.asn1.DERUTCTime.superclass.constructor.call(this, params);
        this.hT = "17";

        /**
         * set value by a Date object
         * @name setByDate
         * @memberOf KJUR.asn1.DERUTCTime
         * @function
         * @param {Date} dateObject Date object to set ASN.1 value(V)
         */
        this.setByDate = function(dateObject) {
            this.hTLV = null;
            this.isModified = true;
            this.date = dateObject;
            this.s = this.formatDate(this.date, 'utc');
            this.hV = stohex(this.s);
        };

        if (typeof params != "undefined") {
            if (typeof params['str'] != "undefined") {
                this.setString(params['str']);
            } else if (typeof params['hex'] != "undefined") {
                this.setStringHex(params['hex']);
            } else if (typeof params['date'] != "undefined") {
                this.setByDate(params['date']);
            }
        }
    };
    JSX.extend(KJUR.asn1.DERUTCTime, KJUR.asn1.DERAbstractTime);

// ********************************************************************
    /**
     * class for ASN.1 DER GeneralizedTime
     * @name KJUR.asn1.DERGeneralizedTime
     * @class class for ASN.1 DER GeneralizedTime
     * @param {Array} params associative array of parameters (ex. {'str': '20130430235959Z'})
     * @extends KJUR.asn1.DERAbstractTime
     * @description
     * <br/>
     * As for argument 'params' for constructor, you can specify one of
     * following properties:
     * <ul>
     * <li>str - specify initial ASN.1 value(V) by a string (ex.'20130430235959Z')</li>
     * <li>hex - specify initial ASN.1 value(V) by a hexadecimal string</li>
     * <li>date - specify Date object.</li>
     * </ul>
     * NOTE: 'params' can be omitted.
     */
    KJUR.asn1.DERGeneralizedTime = function(params) {
        KJUR.asn1.DERGeneralizedTime.superclass.constructor.call(this, params);
        this.hT = "18";

        /**
         * set value by a Date object
         * @name setByDate
         * @memberOf KJUR.asn1.DERGeneralizedTime
         * @function
         * @param {Date} dateObject Date object to set ASN.1 value(V)
         * @example
         * When you specify UTC time, use 'Date.UTC' method like this:<br/>
         * var o = new DERUTCTime();
         * var date = new Date(Date.UTC(2015, 0, 31, 23, 59, 59, 0)); #2015JAN31 23:59:59
         * o.setByDate(date);
         */
        this.setByDate = function(dateObject) {
            this.hTLV = null;
            this.isModified = true;
            this.date = dateObject;
            this.s = this.formatDate(this.date, 'gen');
            this.hV = stohex(this.s);
        };

        if (typeof params != "undefined") {
            if (typeof params['str'] != "undefined") {
                this.setString(params['str']);
            } else if (typeof params['hex'] != "undefined") {
                this.setStringHex(params['hex']);
            } else if (typeof params['date'] != "undefined") {
                this.setByDate(params['date']);
            }
        }
    };
    JSX.extend(KJUR.asn1.DERGeneralizedTime, KJUR.asn1.DERAbstractTime);

// ********************************************************************
    /**
     * class for ASN.1 DER Sequence
     * @name KJUR.asn1.DERSequence
     * @class class for ASN.1 DER Sequence
     * @extends KJUR.asn1.DERAbstractStructured
     * @description
     * <br/>
     * As for argument 'params' for constructor, you can specify one of
     * following properties:
     * <ul>
     * <li>array - specify array of ASN1Object to set elements of content</li>
     * </ul>
     * NOTE: 'params' can be omitted.
     */
    KJUR.asn1.DERSequence = function(params) {
        KJUR.asn1.DERSequence.superclass.constructor.call(this, params);
        this.hT = "30";
        this.getFreshValueHex = function() {
            var h = '';
            for (var i = 0; i < this.asn1Array.length; i++) {
                var asn1Obj = this.asn1Array[i];
                h += asn1Obj.getEncodedHex();
            }
            this.hV = h;
            return this.hV;
        };
    };
    JSX.extend(KJUR.asn1.DERSequence, KJUR.asn1.DERAbstractStructured);

// ********************************************************************
    /**
     * class for ASN.1 DER Set
     * @name KJUR.asn1.DERSet
     * @class class for ASN.1 DER Set
     * @extends KJUR.asn1.DERAbstractStructured
     * @description
     * <br/>
     * As for argument 'params' for constructor, you can specify one of
     * following properties:
     * <ul>
     * <li>array - specify array of ASN1Object to set elements of content</li>
     * </ul>
     * NOTE: 'params' can be omitted.
     */
    KJUR.asn1.DERSet = function(params) {
        KJUR.asn1.DERSet.superclass.constructor.call(this, params);
        this.hT = "31";
        this.getFreshValueHex = function() {
            var a = new Array();
            for (var i = 0; i < this.asn1Array.length; i++) {
                var asn1Obj = this.asn1Array[i];
                a.push(asn1Obj.getEncodedHex());
            }
            a.sort();
            this.hV = a.join('');
            return this.hV;
        };
    };
    JSX.extend(KJUR.asn1.DERSet, KJUR.asn1.DERAbstractStructured);

// ********************************************************************
    /**
     * class for ASN.1 DER TaggedObject
     * @name KJUR.asn1.DERTaggedObject
     * @class class for ASN.1 DER TaggedObject
     * @extends KJUR.asn1.ASN1Object
     * @description
     * <br/>
     * Parameter 'tagNoNex' is ASN.1 tag(T) value for this object.
     * For example, if you find '[1]' tag in a ASN.1 dump,
     * 'tagNoHex' will be 'a1'.
     * <br/>
     * As for optional argument 'params' for constructor, you can specify *ANY* of
     * following properties:
     * <ul>
     * <li>explicit - specify true if this is explicit tag otherwise false
     *     (default is 'true').</li>
     * <li>tag - specify tag (default is 'a0' which means [0])</li>
     * <li>obj - specify ASN1Object which is tagged</li>
     * </ul>
     * @example
     * d1 = new KJUR.asn1.DERUTF8String({'str':'a'});
     * d2 = new KJUR.asn1.DERTaggedObject({'obj': d1});
     * hex = d2.getEncodedHex();
     */
    KJUR.asn1.DERTaggedObject = function(params) {
        KJUR.asn1.DERTaggedObject.superclass.constructor.call(this);
        this.hT = "a0";
        this.hV = '';
        this.isExplicit = true;
        this.asn1Object = null;

        /**
         * set value by an ASN1Object
         * @name setString
         * @memberOf KJUR.asn1.DERTaggedObject
         * @function
         * @param {Boolean} isExplicitFlag flag for explicit/implicit tag
         * @param {Integer} tagNoHex hexadecimal string of ASN.1 tag
         * @param {ASN1Object} asn1Object ASN.1 to encapsulate
         */
        this.setASN1Object = function(isExplicitFlag, tagNoHex, asn1Object) {
            this.hT = tagNoHex;
            this.isExplicit = isExplicitFlag;
            this.asn1Object = asn1Object;
            if (this.isExplicit) {
                this.hV = this.asn1Object.getEncodedHex();
                this.hTLV = null;
                this.isModified = true;
            } else {
                this.hV = null;
                this.hTLV = asn1Object.getEncodedHex();
                this.hTLV = this.hTLV.replace(/^../, tagNoHex);
                this.isModified = false;
            }
        };

        this.getFreshValueHex = function() {
            return this.hV;
        };

        if (typeof params != "undefined") {
            if (typeof params['tag'] != "undefined") {
                this.hT = params['tag'];
            }
            if (typeof params['explicit'] != "undefined") {
                this.isExplicit = params['explicit'];
            }
            if (typeof params['obj'] != "undefined") {
                this.asn1Object = params['obj'];
                this.setASN1Object(this.isExplicit, this.hT, this.asn1Object);
            }
        }
    };
    JSX.extend(KJUR.asn1.DERTaggedObject, KJUR.asn1.ASN1Object);// Hex JavaScript decoder
// Copyright (c) 2008-2013 Lapo Luchini <lapo@lapo.it>

// Permission to use, copy, modify, and/or distribute this software for any
// purpose with or without fee is hereby granted, provided that the above
// copyright notice and this permission notice appear in all copies.
//
// THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
// WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
// ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
// WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
// ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
// OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

    /*jshint browser: true, strict: true, immed: true, latedef: true, undef: true, regexdash: false */
    (function (undefined) {
        "use strict";

        var Hex = {},
            decoder;

        Hex.decode = function(a) {
            var i;
            if (decoder === undefined) {
                var hex = "0123456789ABCDEF",
                    ignore = " \f\n\r\t\u00A0\u2028\u2029";
                decoder = [];
                for (i = 0; i < 16; ++i)
                    decoder[hex.charAt(i)] = i;
                hex = hex.toLowerCase();
                for (i = 10; i < 16; ++i)
                    decoder[hex.charAt(i)] = i;
                for (i = 0; i < ignore.length; ++i)
                    decoder[ignore.charAt(i)] = -1;
            }
            var out = [],
                bits = 0,
                char_count = 0;
            for (i = 0; i < a.length; ++i) {
                var c = a.charAt(i);
                if (c == '=')
                    break;
                c = decoder[c];
                if (c == -1)
                    continue;
                if (c === undefined)
                    throw 'Illegal character at offset ' + i;
                bits |= c;
                if (++char_count >= 2) {
                    out[out.length] = bits;
                    bits = 0;
                    char_count = 0;
                } else {
                    bits <<= 4;
                }
            }
            if (char_count)
                throw "Hex encoding incomplete: 4 bits missing";
            return out;
        };

// export globals
        window.Hex = Hex;
    })();// Base64 JavaScript decoder
// Copyright (c) 2008-2013 Lapo Luchini <lapo@lapo.it>

// Permission to use, copy, modify, and/or distribute this software for any
// purpose with or without fee is hereby granted, provided that the above
// copyright notice and this permission notice appear in all copies.
//
// THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
// WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
// ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
// WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
// ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
// OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

    /*jshint browser: true, strict: true, immed: true, latedef: true, undef: true, regexdash: false */
    (function (undefined) {
        "use strict";

        var Base64 = {},
            decoder;

        Base64.decode = function (a) {
            var i;
            if (decoder === undefined) {
                var b64 = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",
                    ignore = "= \f\n\r\t\u00A0\u2028\u2029";
                decoder = [];
                for (i = 0; i < 64; ++i)
                    decoder[b64.charAt(i)] = i;
                for (i = 0; i < ignore.length; ++i)
                    decoder[ignore.charAt(i)] = -1;
            }
            var out = [];
            var bits = 0, char_count = 0;
            for (i = 0; i < a.length; ++i) {
                var c = a.charAt(i);
                if (c == '=')
                    break;
                c = decoder[c];
                if (c == -1)
                    continue;
                if (c === undefined)
                    throw 'Illegal character at offset ' + i;
                bits |= c;
                if (++char_count >= 4) {
                    out[out.length] = (bits >> 16);
                    out[out.length] = (bits >> 8) & 0xFF;
                    out[out.length] = bits & 0xFF;
                    bits = 0;
                    char_count = 0;
                } else {
                    bits <<= 6;
                }
            }
            switch (char_count) {
                case 1:
                    throw "Base64 encoding incomplete: at least 2 bits missing";
                case 2:
                    out[out.length] = (bits >> 10);
                    break;
                case 3:
                    out[out.length] = (bits >> 16);
                    out[out.length] = (bits >> 8) & 0xFF;
                    break;
            }
            return out;
        };

        Base64.re = /-----BEGIN [^-]+-----([A-Za-z0-9+\/=\s]+)-----END [^-]+-----|begin-base64[^\n]+\n([A-Za-z0-9+\/=\s]+)====/;
        Base64.unarmor = function (a) {
            var m = Base64.re.exec(a);
            if (m) {
                if (m[1])
                    a = m[1];
                else if (m[2])
                    a = m[2];
                else
                    throw "RegExp out of sync";
            }
            return Base64.decode(a);
        };

// export globals
        window.Base64 = Base64;
    })();// ASN.1 JavaScript decoder
// Copyright (c) 2008-2013 Lapo Luchini <lapo@lapo.it>

// Permission to use, copy, modify, and/or distribute this software for any
// purpose with or without fee is hereby granted, provided that the above
// copyright notice and this permission notice appear in all copies.
//
// THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
// WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
// ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
// WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
// ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
// OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

    /*jshint browser: true, strict: true, immed: true, latedef: true, undef: true, regexdash: false */
    /*global oids */
    (function (undefined) {
        "use strict";

        var hardLimit = 100,
            ellipsis = "\u2026",
            DOM = {
                tag: function (tagName, className) {
                    var t = document.createElement(tagName);
                    t.className = className;
                    return t;
                },
                text: function (str) {
                    return document.createTextNode(str);
                }
            };

        function Stream(enc, pos) {
            if (enc instanceof Stream) {
                this.enc = enc.enc;
                this.pos = enc.pos;
            } else {
                this.enc = enc;
                this.pos = pos;
            }
        }
        Stream.prototype.get = function (pos) {
            if (pos === undefined)
                pos = this.pos++;
            if (pos >= this.enc.length)
                throw 'Requesting byte offset ' + pos + ' on a stream of length ' + this.enc.length;
            return this.enc[pos];
        };
        Stream.prototype.hexDigits = "0123456789ABCDEF";
        Stream.prototype.hexByte = function (b) {
            return this.hexDigits.charAt((b >> 4) & 0xF) + this.hexDigits.charAt(b & 0xF);
        };
        Stream.prototype.hexDump = function (start, end, raw) {
            var s = "";
            for (var i = start; i < end; ++i) {
                s += this.hexByte(this.get(i));
                if (raw !== true)
                    switch (i & 0xF) {
                        case 0x7: s += "  "; break;
                        case 0xF: s += "\n"; break;
                        default:  s += " ";
                    }
            }
            return s;
        };
        Stream.prototype.parseStringISO = function (start, end) {
            var s = "";
            for (var i = start; i < end; ++i)
                s += String.fromCharCode(this.get(i));
            return s;
        };
        Stream.prototype.parseStringUTF = function (start, end) {
            var s = "";
            for (var i = start; i < end; ) {
                var c = this.get(i++);
                if (c < 128)
                    s += String.fromCharCode(c);
                else if ((c > 191) && (c < 224))
                    s += String.fromCharCode(((c & 0x1F) << 6) | (this.get(i++) & 0x3F));
                else
                    s += String.fromCharCode(((c & 0x0F) << 12) | ((this.get(i++) & 0x3F) << 6) | (this.get(i++) & 0x3F));
            }
            return s;
        };
        Stream.prototype.parseStringBMP = function (start, end) {
            var str = ""
            for (var i = start; i < end; i += 2) {
                var high_byte = this.get(i);
                var low_byte = this.get(i + 1);
                str += String.fromCharCode( (high_byte << 8) + low_byte );
            }

            return str;
        };
        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)?)?$/;
        Stream.prototype.parseTime = function (start, end) {
            var s = this.parseStringISO(start, end),
                m = this.reTime.exec(s);
            if (!m)
                return "Unrecognized time: " + s;
            s = m[1] + "-" + m[2] + "-" + m[3] + " " + m[4];
            if (m[5]) {
                s += ":" + m[5];
                if (m[6]) {
                    s += ":" + m[6];
                    if (m[7])
                        s += "." + m[7];
                }
            }
            if (m[8]) {
                s += " UTC";
                if (m[8] != 'Z') {
                    s += m[8];
                    if (m[9])
                        s += ":" + m[9];
                }
            }
            return s;
        };
        Stream.prototype.parseInteger = function (start, end) {
            //TODO support negative numbers
            var len = end - start;
            if (len > 4) {
                len <<= 3;
                var s = this.get(start);
                if (s === 0)
                    len -= 8;
                else
                    while (s < 128) {
                        s <<= 1;
                        --len;
                    }
                return "(" + len + " bit)";
            }
            var n = 0;
            for (var i = start; i < end; ++i)
                n = (n << 8) | this.get(i);
            return n;
        };
        Stream.prototype.parseBitString = function (start, end) {
            var unusedBit = this.get(start),
                lenBit = ((end - start - 1) << 3) - unusedBit,
                s = "(" + lenBit + " bit)";
            if (lenBit <= 20) {
                var skip = unusedBit;
                s += " ";
                for (var i = end - 1; i > start; --i) {
                    var b = this.get(i);
                    for (var j = skip; j < 8; ++j)
                        s += (b >> j) & 1 ? "1" : "0";
                    skip = 0;
                }
            }
            return s;
        };
        Stream.prototype.parseOctetString = function (start, end) {
            var len = end - start,
                s = "(" + len + " byte) ";
            if (len > hardLimit)
                end = start + hardLimit;
            for (var i = start; i < end; ++i)
                s += this.hexByte(this.get(i)); //TODO: also try Latin1?
            if (len > hardLimit)
                s += ellipsis;
            return s;
        };
        Stream.prototype.parseOID = function (start, end) {
            var s = '',
                n = 0,
                bits = 0;
            for (var i = start; i < end; ++i) {
                var v = this.get(i);
                n = (n << 7) | (v & 0x7F);
                bits += 7;
                if (!(v & 0x80)) { // finished
                    if (s === '') {
                        var m = n < 80 ? n < 40 ? 0 : 1 : 2;
                        s = m + "." + (n - m * 40);
                    } else
                        s += "." + ((bits >= 31) ? "bigint" : n);
                    n = bits = 0;
                }
            }
            return s;
        };

        function ASN1(stream, header, length, tag, sub) {
            this.stream = stream;
            this.header = header;
            this.length = length;
            this.tag = tag;
            this.sub = sub;
        }
        ASN1.prototype.typeName = function () {
            if (this.tag === undefined)
                return "unknown";
            var tagClass = this.tag >> 6,
                tagConstructed = (this.tag >> 5) & 1,
                tagNumber = this.tag & 0x1F;
            switch (tagClass) {
                case 0: // universal
                    switch (tagNumber) {
                        case 0x00: return "EOC";
                        case 0x01: return "BOOLEAN";
                        case 0x02: return "INTEGER";
                        case 0x03: return "BIT_STRING";
                        case 0x04: return "OCTET_STRING";
                        case 0x05: return "NULL";
                        case 0x06: return "OBJECT_IDENTIFIER";
                        case 0x07: return "ObjectDescriptor";
                        case 0x08: return "EXTERNAL";
                        case 0x09: return "REAL";
                        case 0x0A: return "ENUMERATED";
                        case 0x0B: return "EMBEDDED_PDV";
                        case 0x0C: return "UTF8String";
                        case 0x10: return "SEQUENCE";
                        case 0x11: return "SET";
                        case 0x12: return "NumericString";
                        case 0x13: return "PrintableString"; // ASCII subset
                        case 0x14: return "TeletexString"; // aka T61String
                        case 0x15: return "VideotexString";
                        case 0x16: return "IA5String"; // ASCII
                        case 0x17: return "UTCTime";
                        case 0x18: return "GeneralizedTime";
                        case 0x19: return "GraphicString";
                        case 0x1A: return "VisibleString"; // ASCII subset
                        case 0x1B: return "GeneralString";
                        case 0x1C: return "UniversalString";
                        case 0x1E: return "BMPString";
                        default:   return "Universal_" + tagNumber.toString(16);
                    }
                case 1: return "Application_" + tagNumber.toString(16);
                case 2: return "[" + tagNumber + "]"; // Context
                case 3: return "Private_" + tagNumber.toString(16);
            }
        };
        ASN1.prototype.reSeemsASCII = /^[ -~]+$/;
        ASN1.prototype.content = function () {
            if (this.tag === undefined)
                return null;
            var tagClass = this.tag >> 6,
                tagNumber = this.tag & 0x1F,
                content = this.posContent(),
                len = Math.abs(this.length);
            if (tagClass !== 0) { // universal
                if (this.sub !== null)
                    return "(" + this.sub.length + " elem)";
                //TODO: TRY TO PARSE ASCII STRING
                var s = this.stream.parseStringISO(content, content + Math.min(len, hardLimit));
                if (this.reSeemsASCII.test(s))
                    return s.substring(0, 2 * hardLimit) + ((s.length > 2 * hardLimit) ? ellipsis : "");
                else
                    return this.stream.parseOctetString(content, content + len);
            }
            switch (tagNumber) {
                case 0x01: // BOOLEAN
                    return (this.stream.get(content) === 0) ? "false" : "true";
                case 0x02: // INTEGER
                    return this.stream.parseInteger(content, content + len);
                case 0x03: // BIT_STRING
                    return this.sub ? "(" + this.sub.length + " elem)" :
                        this.stream.parseBitString(content, content + len);
                case 0x04: // OCTET_STRING
                    return this.sub ? "(" + this.sub.length + " elem)" :
                        this.stream.parseOctetString(content, content + len);
                //case 0x05: // NULL
                case 0x06: // OBJECT_IDENTIFIER
                    return this.stream.parseOID(content, content + len);
                //case 0x07: // ObjectDescriptor
                //case 0x08: // EXTERNAL
                //case 0x09: // REAL
                //case 0x0A: // ENUMERATED
                //case 0x0B: // EMBEDDED_PDV
                case 0x10: // SEQUENCE
                case 0x11: // SET
                    return "(" + this.sub.length + " elem)";
                case 0x0C: // UTF8String
                    return this.stream.parseStringUTF(content, content + len);
                case 0x12: // NumericString
                case 0x13: // PrintableString
                case 0x14: // TeletexString
                case 0x15: // VideotexString
                case 0x16: // IA5String
                //case 0x19: // GraphicString
                case 0x1A: // VisibleString
                    //case 0x1B: // GeneralString
                    //case 0x1C: // UniversalString
                    return this.stream.parseStringISO(content, content + len);
                case 0x1E: // BMPString
                    return this.stream.parseStringBMP(content, content + len);
                case 0x17: // UTCTime
                case 0x18: // GeneralizedTime
                    return this.stream.parseTime(content, content + len);
            }
            return null;
        };
        ASN1.prototype.toString = function () {
            return this.typeName() + "@" + this.stream.pos + "[header:" + this.header + ",length:" + this.length + ",sub:" + ((this.sub === null) ? 'null' : this.sub.length) + "]";
        };
        ASN1.prototype.print = function (indent) {
            if (indent === undefined) indent = '';
            document.writeln(indent + this);
            if (this.sub !== null) {
                indent += '  ';
                for (var i = 0, max = this.sub.length; i < max; ++i)
                    this.sub[i].print(indent);
            }
        };
        ASN1.prototype.toPrettyString = function (indent) {
            if (indent === undefined) indent = '';
            var s = indent + this.typeName() + " @" + this.stream.pos;
            if (this.length >= 0)
                s += "+";
            s += this.length;
            if (this.tag & 0x20)
                s += " (constructed)";
            else if (((this.tag == 0x03) || (this.tag == 0x04)) && (this.sub !== null))
                s += " (encapsulates)";
            s += "\n";
            if (this.sub !== null) {
                indent += '  ';
                for (var i = 0, max = this.sub.length; i < max; ++i)
                    s += this.sub[i].toPrettyString(indent);
            }
            return s;
        };
        ASN1.prototype.toDOM = function () {
            var node = DOM.tag("div", "node");
            node.asn1 = this;
            var head = DOM.tag("div", "head");
            var s = this.typeName().replace(/_/g, " ");
            head.innerHTML = s;
            var content = this.content();
            if (content !== null) {
                content = String(content).replace(/</g, "&lt;");
                var preview = DOM.tag("span", "preview");
                preview.appendChild(DOM.text(content));
                head.appendChild(preview);
            }
            node.appendChild(head);
            this.node = node;
            this.head = head;
            var value = DOM.tag("div", "value");
            s = "Offset: " + this.stream.pos + "<br/>";
            s += "Length: " + this.header + "+";
            if (this.length >= 0)
                s += this.length;
            else
                s += (-this.length) + " (undefined)";
            if (this.tag & 0x20)
                s += "<br/>(constructed)";
            else if (((this.tag == 0x03) || (this.tag == 0x04)) && (this.sub !== null))
                s += "<br/>(encapsulates)";
            //TODO if (this.tag == 0x03) s += "Unused bits: "
            if (content !== null) {
                s += "<br/>Value:<br/><b>" + content + "</b>";
                if ((typeof oids === 'object') && (this.tag == 0x06)) {
                    var oid = oids[content];
                    if (oid) {
                        if (oid.d) s += "<br/>" + oid.d;
                        if (oid.c) s += "<br/>" + oid.c;
                        if (oid.w) s += "<br/>(warning!)";
                    }
                }
            }
            value.innerHTML = s;
            node.appendChild(value);
            var sub = DOM.tag("div", "sub");
            if (this.sub !== null) {
                for (var i = 0, max = this.sub.length; i < max; ++i)
                    sub.appendChild(this.sub[i].toDOM());
            }
            node.appendChild(sub);
            head.onclick = function () {
                node.className = (node.className == "node collapsed") ? "node" : "node collapsed";
            };
            return node;
        };
        ASN1.prototype.posStart = function () {
            return this.stream.pos;
        };
        ASN1.prototype.posContent = function () {
            return this.stream.pos + this.header;
        };
        ASN1.prototype.posEnd = function () {
            return this.stream.pos + this.header + Math.abs(this.length);
        };
        ASN1.prototype.fakeHover = function (current) {
            this.node.className += " hover";
            if (current)
                this.head.className += " hover";
        };
        ASN1.prototype.fakeOut = function (current) {
            var re = / ?hover/;
            this.node.className = this.node.className.replace(re, "");
            if (current)
                this.head.className = this.head.className.replace(re, "");
        };
        ASN1.prototype.toHexDOM_sub = function (node, className, stream, start, end) {
            if (start >= end)
                return;
            var sub = DOM.tag("span", className);
            sub.appendChild(DOM.text(
                stream.hexDump(start, end)));
            node.appendChild(sub);
        };
        ASN1.prototype.toHexDOM = function (root) {
            var node = DOM.tag("span", "hex");
            if (root === undefined) root = node;
            this.head.hexNode = node;
            this.head.onmouseover = function () { this.hexNode.className = "hexCurrent"; };
            this.head.onmouseout  = function () { this.hexNode.className = "hex"; };
            node.asn1 = this;
            node.onmouseover = function () {
                var current = !root.selected;
                if (current) {
                    root.selected = this.asn1;
                    this.className = "hexCurrent";
                }
                this.asn1.fakeHover(current);
            };
            node.onmouseout  = function () {
                var current = (root.selected == this.asn1);
                this.asn1.fakeOut(current);
                if (current) {
                    root.selected = null;
                    this.className = "hex";
                }
            };
            this.toHexDOM_sub(node, "tag", this.stream, this.posStart(), this.posStart() + 1);
            this.toHexDOM_sub(node, (this.length >= 0) ? "dlen" : "ulen", this.stream, this.posStart() + 1, this.posContent());
            if (this.sub === null)
                node.appendChild(DOM.text(
                    this.stream.hexDump(this.posContent(), this.posEnd())));
            else if (this.sub.length > 0) {
                var first = this.sub[0];
                var last = this.sub[this.sub.length - 1];
                this.toHexDOM_sub(node, "intro", this.stream, this.posContent(), first.posStart());
                for (var i = 0, max = this.sub.length; i < max; ++i)
                    node.appendChild(this.sub[i].toHexDOM(root));
                this.toHexDOM_sub(node, "outro", this.stream, last.posEnd(), this.posEnd());
            }
            return node;
        };
        ASN1.prototype.toHexString = function (root) {
            return this.stream.hexDump(this.posStart(), this.posEnd(), true);
        };
        ASN1.decodeLength = function (stream) {
            var buf = stream.get(),
                len = buf & 0x7F;
            if (len == buf)
                return len;
            if (len > 3)
                throw "Length over 24 bits not supported at position " + (stream.pos - 1);
            if (len === 0)
                return -1; // undefined
            buf = 0;
            for (var i = 0; i < len; ++i)
                buf = (buf << 8) | stream.get();
            return buf;
        };
        ASN1.hasContent = function (tag, len, stream) {
            if (tag & 0x20) // constructed
                return true;
            if ((tag < 0x03) || (tag > 0x04))
                return false;
            var p = new Stream(stream);
            if (tag == 0x03) p.get(); // BitString unused bits, must be in [0, 7]
            var subTag = p.get();
            if ((subTag >> 6) & 0x01) // not (universal or context)
                return false;
            try {
                var subLength = ASN1.decodeLength(p);
                return ((p.pos - stream.pos) + subLength == len);
            } catch (exception) {
                return false;
            }
        };
        ASN1.decode = function (stream) {
            if (!(stream instanceof Stream))
                stream = new Stream(stream, 0);
            var streamStart = new Stream(stream),
                tag = stream.get(),
                len = ASN1.decodeLength(stream),
                header = stream.pos - streamStart.pos,
                sub = null;
            if (ASN1.hasContent(tag, len, stream)) {
                // it has content, so we decode it
                var start = stream.pos;
                if (tag == 0x03) stream.get(); // skip BitString unused bits, must be in [0, 7]
                sub = [];
                if (len >= 0) {
                    // definite length
                    var end = start + len;
                    while (stream.pos < end)
                        sub[sub.length] = ASN1.decode(stream);
                    if (stream.pos != end)
                        throw "Content size is not correct for container starting at offset " + start;
                } else {
                    // undefined length
                    try {
                        for (;;) {
                            var s = ASN1.decode(stream);
                            if (s.tag === 0)
                                break;
                            sub[sub.length] = s;
                        }
                        len = start - stream.pos;
                    } catch (e) {
                        throw "Exception while decoding undefined length content: " + e;
                    }
                }
            } else
                stream.pos += len; // skip content
            return new ASN1(streamStart, header, len, tag, sub);
        };
        ASN1.test = function () {
            var test = [
                { value: [0x27],                   expected: 0x27     },
                { value: [0x81, 0xC9],             expected: 0xC9     },
                { value: [0x83, 0xFE, 0xDC, 0xBA], expected: 0xFEDCBA }
            ];
            for (var i = 0, max = test.length; i < max; ++i) {
                var pos = 0,
                    stream = new Stream(test[i].value, 0),
                    res = ASN1.decodeLength(stream);
                if (res != test[i].expected)
                    document.write("In test[" + i + "] expected " + test[i].expected + " got " + res + "\n");
            }
        };

// export globals
        window.ASN1 = ASN1;
    })();/**
     * Retrieve the hexadecimal value (as a string) of the current ASN.1 element
     * @returns {string}
     * @public
     */
    ASN1.prototype.getHexStringValue = function () {
        var hexString = this.toHexString();
        var offset = this.header * 2;
        var length = this.length * 2;
        return hexString.substr(offset, length);
    };

    /**
     * Method to parse a pem encoded string containing both a public or private key.
     * The method will translate the pem encoded string in a der encoded string and
     * will parse private key and public key parameters. This method accepts public key
     * in the rsaencryption pkcs #1 format (oid: 1.2.840.113549.1.1.1).
     *
     * @todo Check how many rsa formats use the same format of pkcs #1.
     *
     * The format is defined as:
     * PublicKeyInfo ::= SEQUENCE {
 *   algorithm       AlgorithmIdentifier,
 *   PublicKey       BIT STRING
 * }
     * Where AlgorithmIdentifier is:
     * AlgorithmIdentifier ::= SEQUENCE {
 *   algorithm       OBJECT IDENTIFIER,     the OID of the enc algorithm
 *   parameters      ANY DEFINED BY algorithm OPTIONAL (NULL for PKCS #1)
 * }
     * and PublicKey is a SEQUENCE encapsulated in a BIT STRING
     * RSAPublicKey ::= SEQUENCE {
 *   modulus           INTEGER,  -- n
 *   publicExponent    INTEGER   -- e
 * }
     * it's possible to examine the structure of the keys obtained from openssl using
     * an asn.1 dumper as the one used here to parse the components: http://lapo.it/asn1js/
     * @argument {string} pem the pem encoded string, can include the BEGIN/END header/footer
     * @private
     */
    RSAKey.prototype.parseKey = function (pem) {
        try {
            var modulus = 0;
            var public_exponent = 0;
            var reHex = /^\s*(?:[0-9A-Fa-f][0-9A-Fa-f]\s*)+$/;
            var der = reHex.test(pem) ? Hex.decode(pem) : Base64.unarmor(pem);
            var asn1 = ASN1.decode(der);

            //Fixes a bug with OpenSSL 1.0+ private keys
            if(asn1.sub.length === 3){
                asn1 = asn1.sub[2].sub[0];
            }
            if (asn1.sub.length === 9) {

                // Parse the private key.
                modulus = asn1.sub[1].getHexStringValue(); //bigint
                this.n = parseBigInt(modulus, 16);

                public_exponent = asn1.sub[2].getHexStringValue(); //int
                this.e = parseInt(public_exponent, 16);

                var private_exponent = asn1.sub[3].getHexStringValue(); //bigint
                this.d = parseBigInt(private_exponent, 16);

                var prime1 = asn1.sub[4].getHexStringValue(); //bigint
                this.p = parseBigInt(prime1, 16);

                var prime2 = asn1.sub[5].getHexStringValue(); //bigint
                this.q = parseBigInt(prime2, 16);

                var exponent1 = asn1.sub[6].getHexStringValue(); //bigint
                this.dmp1 = parseBigInt(exponent1, 16);

                var exponent2 = asn1.sub[7].getHexStringValue(); //bigint
                this.dmq1 = parseBigInt(exponent2, 16);

                var coefficient = asn1.sub[8].getHexStringValue(); //bigint
                this.coeff = parseBigInt(coefficient, 16);

            }
            else if (asn1.sub.length === 2) {

                // Parse the public key.
                var bit_string = asn1.sub[1];
                var sequence = bit_string.sub[0];

                modulus = sequence.sub[0].getHexStringValue();
                this.n = parseBigInt(modulus, 16);
                public_exponent = sequence.sub[1].getHexStringValue();
                this.e = parseInt(public_exponent, 16);

            }
            else {
                return false;
            }
            return true;
        }
        catch (ex) {
            return false;
        }
    };

    /**
     * Translate rsa parameters in a hex encoded string representing the rsa key.
     *
     * The translation follow the ASN.1 notation :
     * RSAPrivateKey ::= SEQUENCE {
 *   version           Version,
 *   modulus           INTEGER,  -- n
 *   publicExponent    INTEGER,  -- e
 *   privateExponent   INTEGER,  -- d
 *   prime1            INTEGER,  -- p
 *   prime2            INTEGER,  -- q
 *   exponent1         INTEGER,  -- d mod (p1)
 *   exponent2         INTEGER,  -- d mod (q-1)
 *   coefficient       INTEGER,  -- (inverse of q) mod p
 * }
     * @returns {string}  DER Encoded String representing the rsa private key
     * @private
     */
    RSAKey.prototype.getPrivateBaseKey = function () {
        var options = {
            'array': [
                new KJUR.asn1.DERInteger({'int': 0}),
                new KJUR.asn1.DERInteger({'bigint': this.n}),
                new KJUR.asn1.DERInteger({'int': this.e}),
                new KJUR.asn1.DERInteger({'bigint': this.d}),
                new KJUR.asn1.DERInteger({'bigint': this.p}),
                new KJUR.asn1.DERInteger({'bigint': this.q}),
                new KJUR.asn1.DERInteger({'bigint': this.dmp1}),
                new KJUR.asn1.DERInteger({'bigint': this.dmq1}),
                new KJUR.asn1.DERInteger({'bigint': this.coeff})
            ]
        };
        var seq = new KJUR.asn1.DERSequence(options);
        return seq.getEncodedHex();
    };

    /**
     * base64 (pem) encoded version of the DER encoded representation
     * @returns {string} pem encoded representation without header and footer
     * @public
     */
    RSAKey.prototype.getPrivateBaseKeyB64 = function () {
        return hex2b64(this.getPrivateBaseKey());
    };

    /**
     * Translate rsa parameters in a hex encoded string representing the rsa public key.
     * The representation follow the ASN.1 notation :
     * PublicKeyInfo ::= SEQUENCE {
 *   algorithm       AlgorithmIdentifier,
 *   PublicKey       BIT STRING
 * }
     * Where AlgorithmIdentifier is:
     * AlgorithmIdentifier ::= SEQUENCE {
 *   algorithm       OBJECT IDENTIFIER,     the OID of the enc algorithm
 *   parameters      ANY DEFINED BY algorithm OPTIONAL (NULL for PKCS #1)
 * }
     * and PublicKey is a SEQUENCE encapsulated in a BIT STRING
     * RSAPublicKey ::= SEQUENCE {
 *   modulus           INTEGER,  -- n
 *   publicExponent    INTEGER   -- e
 * }
     * @returns {string} DER Encoded String representing the rsa public key
     * @private
     */
    RSAKey.prototype.getPublicBaseKey = function () {
        var options = {
            'array': [
                new KJUR.asn1.DERObjectIdentifier({'oid': '1.2.840.113549.1.1.1'}), //RSA Encryption pkcs #1 oid
                new KJUR.asn1.DERNull()
            ]
        };
        var first_sequence = new KJUR.asn1.DERSequence(options);

        options = {
            'array': [
                new KJUR.asn1.DERInteger({'bigint': this.n}),
                new KJUR.asn1.DERInteger({'int': this.e})
            ]
        };
        var second_sequence = new KJUR.asn1.DERSequence(options);

        options = {
            'hex': '00' + second_sequence.getEncodedHex()
        };
        var bit_string = new KJUR.asn1.DERBitString(options);

        options = {
            'array': [
                first_sequence,
                bit_string
            ]
        };
        var seq = new KJUR.asn1.DERSequence(options);
        return seq.getEncodedHex();
    };

    /**
     * base64 (pem) encoded version of the DER encoded representation
     * @returns {string} pem encoded representation without header and footer
     * @public
     */
    RSAKey.prototype.getPublicBaseKeyB64 = function () {
        return hex2b64(this.getPublicBaseKey());
    };

    /**
     * wrap the string in block of width chars. The default value for rsa keys is 64
     * characters.
     * @param {string} str the pem encoded string without header and footer
     * @param {Number} [width=64] - the length the string has to be wrapped at
     * @returns {string}
     * @private
     */
    RSAKey.prototype.wordwrap = function (str, width) {
        width = width || 64;
        if (!str) {
            return str;
        }
        var regex = '(.{1,' + width + '})( +|$\n?)|(.{1,' + width + '})';
        return str.match(RegExp(regex, 'g')).join('\n');
    };

    /**
     * Retrieve the pem encoded private key
     * @returns {string} the pem encoded private key with header/footer
     * @public
     */
    RSAKey.prototype.getPrivateKey = function () {
        var key = "-----BEGIN RSA PRIVATE KEY-----\n";
        key += this.wordwrap(this.getPrivateBaseKeyB64()) + "\n";
        key += "-----END RSA PRIVATE KEY-----";
        return key;
    };

    /**
     * Retrieve the pem encoded public key
     * @returns {string} the pem encoded public key with header/footer
     * @public
     */
    RSAKey.prototype.getPublicKey = function () {
        var key = "-----BEGIN PUBLIC KEY-----\n";
        key += this.wordwrap(this.getPublicBaseKeyB64()) + "\n";
        key += "-----END PUBLIC KEY-----";
        return key;
    };

    /**
     * Check if the object contains the necessary parameters to populate the rsa modulus
     * and public exponent parameters.
     * @param {Object} [obj={}] - An object that may contain the two public key
     * parameters
     * @returns {boolean} true if the object contains both the modulus and the public exponent
     * properties (n and e)
     * @todo check for types of n and e. N should be a parseable bigInt object, E should
     * be a parseable integer number
     * @private
     */
    RSAKey.prototype.hasPublicKeyProperty = function (obj) {
        obj = obj || {};
        return (
            obj.hasOwnProperty('n') &&
            obj.hasOwnProperty('e')
        );
    };

    /**
     * Check if the object contains ALL the parameters of an RSA key.
     * @param {Object} [obj={}] - An object that may contain nine rsa key
     * parameters
     * @returns {boolean} true if the object contains all the parameters needed
     * @todo check for types of the parameters all the parameters but the public exponent
     * should be parseable bigint objects, the public exponent should be a parseable integer number
     * @private
     */
    RSAKey.prototype.hasPrivateKeyProperty = function (obj) {
        obj = obj || {};
        return (
            obj.hasOwnProperty('n') &&
            obj.hasOwnProperty('e') &&
            obj.hasOwnProperty('d') &&
            obj.hasOwnProperty('p') &&
            obj.hasOwnProperty('q') &&
            obj.hasOwnProperty('dmp1') &&
            obj.hasOwnProperty('dmq1') &&
            obj.hasOwnProperty('coeff')
        );
    };

    /**
     * Parse the properties of obj in the current rsa object. Obj should AT LEAST
     * include the modulus and public exponent (n, e) parameters.
     * @param {Object} obj - the object containing rsa parameters
     * @private
     */
    RSAKey.prototype.parsePropertiesFrom = function (obj) {
        this.n = obj.n;
        this.e = obj.e;

        if (obj.hasOwnProperty('d')) {
            this.d = obj.d;
            this.p = obj.p;
            this.q = obj.q;
            this.dmp1 = obj.dmp1;
            this.dmq1 = obj.dmq1;
            this.coeff = obj.coeff;
        }
    };

    /**
     * Create a new JSEncryptRSAKey that extends Tom Wu's RSA key object.
     * This object is just a decorator for parsing the key parameter
     * @param {string|Object} key - The key in string format, or an object containing
     * the parameters needed to build a RSAKey object.
     * @constructor
     */
    var JSEncryptRSAKey = function (key) {
        // Call the super constructor.
        RSAKey.call(this);
        // If a key key was provided.
        if (key) {
            // If this is a string...
            if (typeof key === 'string') {
                this.parseKey(key);
            }
            else if (
                this.hasPrivateKeyProperty(key) ||
                this.hasPublicKeyProperty(key)
            ) {
                // Set the values for the key.
                this.parsePropertiesFrom(key);
            }
        }
    };

// Derive from RSAKey.
    JSEncryptRSAKey.prototype = new RSAKey();

// Reset the contructor.
    JSEncryptRSAKey.prototype.constructor = JSEncryptRSAKey;


    /**
     *
     * @param {Object} [options = {}] - An object to customize JSEncrypt behaviour
     * possible parameters are:
     * - default_key_size        {number}  default: 1024 the key size in bit
     * - default_public_exponent {string}  default: '010001' the hexadecimal representation of the public exponent
     * - log                     {boolean} default: false whether log warn/error or not
     * @constructor
     */
    var JSEncrypt = function (options) {
        options = options || {};
        this.default_key_size = parseInt(options.default_key_size) || 1024;
        this.default_public_exponent = options.default_public_exponent || '010001'; //65537 default openssl public exponent for rsa key type
        this.log = options.log || false;
        // The private and public key.
        this.key = null;
    };

    /**
     * Method to set the rsa key parameter (one method is enough to set both the public
     * and the private key, since the private key contains the public key paramenters)
     * Log a warning if logs are enabled
     * @param {Object|string} key the pem encoded string or an object (with or without header/footer)
     * @public
     */
    JSEncrypt.prototype.setKey = function (key) {
        if (this.log && this.key) {
            console.warn('A key was already set, overriding existing.');
        }
        this.key = new JSEncryptRSAKey(key);
    };

    /**
     * Proxy method for setKey, for api compatibility
     * @see setKey
     * @public
     */
    JSEncrypt.prototype.setPrivateKey = function (privkey) {
        // Create the key.
        this.setKey(privkey);
    };

    /**
     * Proxy method for setKey, for api compatibility
     * @see setKey
     * @public
     */
    JSEncrypt.prototype.setPublicKey = function (pubkey) {
        // Sets the public key.
        this.setKey(pubkey);
    };

    /**
     * Proxy method for RSAKey object's decrypt, decrypt the string using the private
     * components of the rsa key object. Note that if the object was not set will be created
     * on the fly (by the getKey method) using the parameters passed in the JSEncrypt constructor
     * @param {string} string base64 encoded crypted string to decrypt
     * @return {string} the decrypted string
     * @public
     */
    JSEncrypt.prototype.decrypt = function (string) {
        // Return the decrypted string.
        try {
            return this.getKey().decrypt(b64tohex(string));
        }
        catch (ex) {
            return false;
        }
    };

    /**
     * Proxy method for RSAKey object's encrypt, encrypt the string using the public
     * components of the rsa key object. Note that if the object was not set will be created
     * on the fly (by the getKey method) using the parameters passed in the JSEncrypt constructor
     * @param {string} string the string to encrypt
     * @return {string} the encrypted string encoded in base64
     * @public
     */
    JSEncrypt.prototype.encrypt = function (string) {
        // Return the encrypted string.
        try {
            return hex2b64(this.getKey().encrypt(string));
        }
        catch (ex) {
            return false;
        }
    };

    /**
     * Getter for the current JSEncryptRSAKey object. If it doesn't exists a new object
     * will be created and returned
     * @param {callback} [cb] the callback to be called if we want the key to be generated
     * in an async fashion
     * @returns {JSEncryptRSAKey} the JSEncryptRSAKey object
     * @public
     */
    JSEncrypt.prototype.getKey = function (cb) {
        // Only create new if it does not exist.
        if (!this.key) {
            // Get a new private key.
            this.key = new JSEncryptRSAKey();
            if (cb && {}.toString.call(cb) === '[object Function]') {
                this.key.generateAsync(this.default_key_size, this.default_public_exponent, cb);
                return;
            }
            // Generate the key.
            this.key.generate(this.default_key_size, this.default_public_exponent);
        }
        return this.key;
    };

    /**
     * Returns the pem encoded representation of the private key
     * If the key doesn't exists a new key will be created
     * @returns {string} pem encoded representation of the private key WITH header and footer
     * @public
     */
    JSEncrypt.prototype.getPrivateKey = function () {
        // Return the private representation of this key.
        return this.getKey().getPrivateKey();
    };

    /**
     * Returns the pem encoded representation of the private key
     * If the key doesn't exists a new key will be created
     * @returns {string} pem encoded representation of the private key WITHOUT header and footer
     * @public
     */
    JSEncrypt.prototype.getPrivateKeyB64 = function () {
        // Return the private representation of this key.
        return this.getKey().getPrivateBaseKeyB64();
    };


    /**
     * Returns the pem encoded representation of the public key
     * If the key doesn't exists a new key will be created
     * @returns {string} pem encoded representation of the public key WITH header and footer
     * @public
     */
    JSEncrypt.prototype.getPublicKey = function () {
        // Return the private representation of this key.
        return this.getKey().getPublicKey();
    };

    /**
     * Returns the pem encoded representation of the public key
     * If the key doesn't exists a new key will be created
     * @returns {string} pem encoded representation of the public key WITHOUT header and footer
     * @public
     */
    JSEncrypt.prototype.getPublicKeyB64 = function () {
        // Return the private representation of this key.
        return this.getKey().getPublicBaseKeyB64();
    };

    exports.JSEncrypt = JSEncrypt;
})(JSEncryptExports);
var JSEncrypt = JSEncryptExports.JSEncrypt;

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。