travist / jsencrypt

A zero-dependency Javascript library to perform OpenSSL RSA Encryption, Decryption, and Key Generation.
http://www.travistidwell.com/jsencrypt
Other
6.68k stars 2.02k forks source link

Any chance you can create a node.js version of this as well? #41

Open born2net opened 9 years ago

born2net commented 9 years ago

Any chance you can create a node.js version of this as well?

regards

travist commented 9 years ago

I don't think there is a need for this library within Node due to its core support of crypto. http://nodejs.org/api/crypto.html

However, I do think that maybe it is possible to provide the RSA PEM formatted keys to be utilized with this crypto library.

You may also check out this library which provides native RSA bindings for Node.js. https://github.com/NodePrime/ursa

born2net commented 9 years ago

unfortunately crypto didn't work and ursa worked BUT is not compatible with neither node 0.12 or with the new iojs fork. ( I use generators so I need the newer node runtimes).. so I ended up converting myself to a node module...

here is the code, you may want to add it to your repo, it works well.. keep in mind it does rely on:

var getRandomValues = require('get-random-values'); var fs = require("fs");

you can install getRandomValues via

npm install get-random-values

I basically took out all the references to window and navigator and added the needed libs like Base64 and randomValues which are not in the core node libs.

var getRandomValues = require('get-random-values');
var fs = require("fs");

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;
};

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);
};

var JSEncryptExports = {};
var Hex;

function ASN1(stream, header, length, tag, sub) {
    this.stream = stream;
    this.header = header;
    this.length = length;
    this.tag = tag;
    this.sub = sub;
}

/**
 * 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);
};

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");
    }
};

(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;
    }

    // override
    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 + 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;
        var crypto = require("crypto");

        // Extract entropy (2048 bits) from RNG if available
        var z = new Uint32Array(256);
        getRandomValues(z);
        for (t = 0; t < z.length; ++t)
            rng_pool[rng_pptr++] = z[t] & 255;
    }

    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 = {},
            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,
            loc = {},
            href = loc && loc.href,
            m;

        o.secure = href && (href.toLowerCase().indexOf("https") === 0);
        o.os = 'macintosh';
        o.webkit = 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
        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
        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 */

// export globals

    /**
     * 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) {
        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;

    };

    /**
     * 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.
        return this.getKey().decrypt(b64tohex(string));
    };

    /**
     * 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);

//exports.jsencpypt = JSEncryptExports.JSEncrypt;

exports.create = function (i_priv, i_pub) {
    var jsEncrypt = new JSEncryptExports.JSEncrypt();
    var privateKey = fs.readFileSync(i_priv, "utf8");
    var publicKey = fs.readFileSync(i_pub, "utf8");
    jsEncrypt.setPublicKey(publicKey);
    jsEncrypt.setPrivateKey(privateKey);
    return jsEncrypt;
}

and to use it do:

var privateKey = __dirname + '/rsa/priv_KEY_1024f.pem';
var publicKey = __dirname + '/rsa/publ_KEY_1024f.pem';

var sec = require('jsencrypt').create(privateKey, publicKey);

var encrypted = sec.encrypt('hello world');
console.log('encrypted: ' + encrypted);

var decrypted = sec.decrypt(encrypted);
console.log('decrypted: ' + decrypted);

if (decrypted == 'hello world') {
    console.log('It works!!!');
} else {
    console.log('Something went wrong....');
}

hope that helps someone, could have saved me 3-4 hours ;)

regards,

Sean.

zoloft commented 9 years ago

Just throwing my 2 cents here: Getting this library to work in nodejs shouldn't be much of an effort but as I already said in other issues unfortunately I'm currently in a working situation that doesn't allow me to contribute here. If you by any chance get this to work on node.js I would be more than appy to review the PR and accept it if it's fine, but you will need to do a proper PR. If you however need a quick and dirty solution this will work fine with rhino, the choice is your. I honestly don't understand what your problem is. In my understanding you are trying to load, encrypt and decrypt starting from a PEM encoded key in node.js. If that's right why don't you just use iojs' crypto api?

born2net commented 9 years ago

not sure if you saw my previous post, crypto wasn't compatible for some reason so I went ahead and converted the jsencrypt lib to a node module (did require some more as the code referenced browser libs that don't exist in node's core)... I posted the code on the previous post for everyone to enjoy... I recommend you include it in the docs, I am sure many will find it useful,

regards.

zoloft commented 9 years ago

Sorry I probably misunderstood. Could you create a proper PR for the code you modified? Thanks for your efforts!

Inviato da iPhone

Antonio Egizio

Il giorno 29/gen/2015, alle ore 00:33, JavaScriptNinja notifications@github.com ha scritto:

not sure if you saw my previous post, crypto wasn't compatible for some reason so I went ahead and converted the jsencrypt lib to a node module (did require some more as the code referenced browser libs that don't exist in node's core)... I posted the code on the previous post for everyone to enjoy... I recommend you include it in the docs, I am sure many will find it useful,

regards.

— Reply to this email directly or view it on GitHub.

lukescott commented 9 years ago

I don't need this library for node per-say, but the app that uses it runs unit tests through node and my tests are bombing on "navigator".

thim81 commented 7 years ago

@born2net

Your nodejs port solved my issue, which costed me several hours debuggen till I found your port. You should make a PR for to wrap it in a proper nodejs package.

There was 1 thing I had to correct.

The get-random-values package returned the following error:

TypeError 'expected Uint8Array'

I managed to change the following (line 2142) and then it worked like a charm:

    // var z = new Uint32Array(256);
    var z = new Uint8Array(256);

Extract from full code to give more context what I changed:

 // Extract entropy (2048 bits) from RNG if available
    // var z = new Uint32Array(256);
    var z = new Uint8Array(256);
    getRandomValues(z);
    for (t = 0; t < z.length; ++t)
      rng_pool[rng_pptr++] = z[t] & 255;
  }
born2net commented 7 years ago

glad it helped... feel free to create the PR for the entire fix as I am in deep in another project Angular 2 Kitchen sink: http://ng2.javascriptninja.io and source@ https://github.com/born2net/Angular-kitchen-sink Regards,

Sean

ArnaudValensi commented 7 years ago

I have made a quick port to nodejs here: https://github.com/ArnaudValensi/node-jsencrypt You can install it with npm: npm install node-jsencrypt.

@travist I can give you the ownership of the repo and package.

therightstuff commented 5 years ago

i just came across this thread now from back when i had similar issues, i've recently created https://github.com/therightstuff/simple-free-encryption-tool and it runs both in the browser and on node, and is compatible with C# .NET's encryption package too...