对某些网站的登录包进行抓包时发现，客户端对用户名进行了加密，然后传给服务器进行校验。
使用chrome调试功能断点调试，发现网站用javascript对用户名做了rsa加密。
为了实现网站的自动登录，需要模拟这个加密过程。
网上搜了下关于rsa加密的最简明的解释：
rsa加密是非对称加密算法，该算法基于一个十分简单的数论事实：将两个大素数相乘十分容易，但那时想要对其乘积进行因式分解却极其困难，因此可以将乘积公开作为加密密钥，即公钥，而两个大素数组合成私钥。公钥是可发布的供任何人使用，私钥则为自己所有，供解密之用。
断点调试：
经过分析，登录网站使用公钥对用户名进行加密，公钥值在登录页面响应报文中可以找到，一般为exponent和modulus。
其中exponent为指数，一般为65537，十六进制为010001。
modulus为加密算法中用到的n值，即大数乘积，一般rsa加密算法的介绍文章中都是：（N,e）为公钥，（N,d）为私钥
js代码中有详细的实现过程，比较复杂，如果看懂了再用python来实现，代价太高。
我尝试了三种解决方式：
1、将js代码扣出来，借用浏览器来执行
即使用python的webserver功能，在浏览器上实现js的计算，并将结果返回给客户端
使用python2.7 的BaseHTTPServer模块实现一个模拟加密的过程
server端代码：
#!/usr/bin/env python
# coding:utf-8
from BaseHTTPServer import HTTPServer,BaseHTTPRequestHandler
import io,shutil,urllib
import urlparse
class RequestHandler(BaseHTTPRequestHandler):
#def do_Head(self):
#self._writeheaders()
def _writeheaders(self):
self.send_response(200)
self.send_header(‘Content-type‘, ‘text/html‘)
self.end_headers()
def do_GET(self):
parsed_path = urlparse.urlparse(self.path);
self._writeheaders()
self.wfile.write("""<!doctype html>
<html class="no-js" lang="">
<head>
<meta charset="utf-8">
<title>RSATEST</title>
<script>
/*
* RSA, a suite of routines for performing RSA public-key computations in JavaScript.
* Copyright 1998-2005 David Shapiro.
* Dave Shapiro
* [email protected]
* changed by Fuchun, 2010-05-06
* [email protected]
*/
(function($w) {
if(typeof $w.RSAUtils === ‘undefined‘)
var RSAUtils = $w.RSAUtils = {};
var biRadixBase = 2;
var biRadixBits = 16;
var bitsPerDigit = biRadixBits;
var biRadix = 1 << 16; // = 2^16 = 65536
var biHalfRadix = biRadix >>> 1;
var biRadixSquared = biRadix * biRadix;
var maxDigitVal = biRadix - 1;
var maxInteger = 9999999999999998;
//maxDigits:
//Change this to accommodate your largest number size. Use setMaxDigits()
//to change it!
//
//In general, if you‘re working with numbers of size N bits, you‘ll need 2*N
//bits of storage. Each digit holds 16 bits. So, a 1024-bit key will need
//
//1024 * 2 / 16 = 128 digits of storage.
//
var maxDigits;
var ZERO_ARRAY;
var bigZero, bigOne;
var BigInt = $w.BigInt = function(flag) {
if (typeof flag == "boolean" && flag == true) {
this.digits = null;
} else {
this.digits = ZERO_ARRAY.slice(0);
}
this.isNeg = false;
};
RSAUtils.setMaxDigits = function(value) {
maxDigits = value;
ZERO_ARRAY = new Array(maxDigits);
for (var iza = 0; iza < ZERO_ARRAY.length; iza++) ZERO_ARRAY[iza] = 0;
bigZero = new BigInt();
bigOne = new BigInt();
bigOne.digits[0] = 1;
};
RSAUtils.setMaxDigits(20);
//The maximum number of digits in base 10 you can convert to an
//integer without JavaScript throwing up on you.
var dpl10 = 15;
RSAUtils.biFromNumber = function(i) {
var result = new BigInt();
result.isNeg = i < 0;
i = Math.abs(i);
var j = 0;
while (i > 0) {
result.digits[j++] = i & maxDigitVal;
i = Math.floor(i / biRadix);
}
return result;
};
//lr10 = 10 ^ dpl10
var lr10 = RSAUtils.biFromNumber(1000000000000000);
RSAUtils.biFromDecimal = function(s) {
var isNeg = s.charAt(0) == ‘-‘;
var i = isNeg ? 1 : 0;
var result;
// Skip leading zeros.
while (i < s.length && s.charAt(i) == ‘0‘) ++i;
if (i == s.length) {
result = new BigInt();
}
else {
var digitCount = s.length - i;
var fgl = digitCount % dpl10;
if (fgl == 0) fgl = dpl10;
result = RSAUtils.biFromNumber(Number(s.substr(i, fgl)));
i += fgl;
while (i < s.length) {
result = RSAUtils.biAdd(RSAUtils.biMultiply(result, lr10),
RSAUtils.biFromNumber(Number(s.substr(i, dpl10))));
i += dpl10;
}
result.isNeg = isNeg;
}
return result;
};
RSAUtils.biCopy = function(bi) {
var result = new BigInt(true);
result.digits = bi.digits.slice(0);
result.isNeg = bi.isNeg;
return result;
};
RSAUtils.reverseStr = function(s) {
var result = "";
for (var i = s.length - 1; i > -1; --i) {
result += s.charAt(i);
}
return result;
};
var hexatrigesimalToChar = [
‘0‘, ‘1‘, ‘2‘, ‘3‘, ‘4‘, ‘5‘, ‘6‘, ‘7‘, ‘8‘, ‘9‘,
‘a‘, ‘b‘, ‘c‘, ‘d‘, ‘e‘, ‘f‘, ‘g‘, ‘h‘, ‘i‘, ‘j‘,
‘k‘, ‘l‘, ‘m‘, ‘n‘, ‘o‘, ‘p‘, ‘q‘, ‘r‘, ‘s‘, ‘t‘,
‘u‘, ‘v‘, ‘w‘, ‘x‘, ‘y‘, ‘z‘
];
RSAUtils.biToString = function(x, radix) { // 2 <= radix <= 36
var b = new BigInt();
b.digits[0] = radix;
var qr = RSAUtils.biDivideModulo(x, b);
var result = hexatrigesimalToChar[qr[1].digits[0]];
while (RSAUtils.biCompare(qr[0], bigZero) == 1) {
qr = RSAUtils.biDivideModulo(qr[0], b);
digit = qr[1].digits[0];
result += hexatrigesimalToChar[qr[1].digits[0]];
}
return (x.isNeg ? "-" : "") + RSAUtils.reverseStr(result);
};
RSAUtils.biToDecimal = function(x) {
var b = new BigInt();
b.digits[0] = 10;
var qr = RSAUtils.biDivideModulo(x, b);
var result = String(qr[1].digits[0]);
while (RSAUtils.biCompare(qr[0], bigZero) == 1) {
qr = RSAUtils.biDivideModulo(qr[0], b);
result += String(qr[1].digits[0]);
}
return (x.isNeg ? "-" : "") + RSAUtils.reverseStr(result);
};
var hexToChar = [‘0‘, ‘1‘, ‘2‘, ‘3‘, ‘4‘, ‘5‘, ‘6‘, ‘7‘, ‘8‘, ‘9‘,
‘a‘, ‘b‘, ‘c‘, ‘d‘, ‘e‘, ‘f‘];
RSAUtils.digitToHex = function(n) {
var mask = 0xf;
var result = "";
for (i = 0; i < 4; ++i) {
result += hexToChar[n & mask];
n >>>= 4;
}
return RSAUtils.reverseStr(result);
};
RSAUtils.biToHex = function(x) {
var result = "";
var n = RSAUtils.biHighIndex(x);
for (var i = RSAUtils.biHighIndex(x); i > -1; --i) {
result += RSAUtils.digitToHex(x.digits[i]);
}
return result;
};
RSAUtils.charToHex = function(c) {
var ZERO = 48;
var NINE = ZERO + 9;
var littleA = 97;
var littleZ = littleA + 25;
var bigA = 65;
var bigZ = 65 + 25;
var result;
if (c >= ZERO && c <= NINE) {
result = c - ZERO;
} else if (c >= bigA && c <= bigZ) {
result = 10 + c - bigA;
} else if (c >= littleA && c <= littleZ) {
result = 10 + c - littleA;
} else {
result = 0;
}
return result;
};
RSAUtils.hexToDigit = function(s) {
var result = 0;
var sl = Math.min(s.length, 4);
for (var i = 0; i < sl; ++i) {
result <<= 4;
result |= RSAUtils.charToHex(s.charCodeAt(i));
}
return result;
};
RSAUtils.biFromHex = function(s) {
var result = new BigInt();
var sl = s.length;
for (var i = sl, j = 0; i > 0; i -= 4, ++j) {
result.digits[j] = RSAUtils.hexToDigit(s.substr(Math.max(i - 4, 0), Math.min(i, 4)));
}
return result;
};
RSAUtils.biFromString = function(s, radix) {
var isNeg = s.charAt(0) == ‘-‘;
var istop = isNeg ? 1 : 0;
var result = new BigInt();
var place = new BigInt();
place.digits[0] = 1; // radix^0
for (var i = s.length - 1; i >= istop; i--) {
var c = s.charCodeAt(i);
var digit = RSAUtils.charToHex(c);
var biDigit = RSAUtils.biMultiplyDigit(place, digit);
result = RSAUtils.biAdd(result, biDigit);
place = RSAUtils.biMultiplyDigit(place, radix);
}
result.isNeg = isNeg;
return result;
};
RSAUtils.biDump = function(b) {
return (b.isNeg ? "-" : "") + b.digits.join(" ");
};
RSAUtils.biAdd = function(x, y) {
var result;
if (x.isNeg != y.isNeg) {
y.isNeg = !y.isNeg;
result = RSAUtils.biSubtract(x, y);
y.isNeg = !y.isNeg;
}
else {
result = new BigInt();
var c = 0;
var n;
for (var i = 0; i < x.digits.length; ++i) {
n = x.digits[i] + y.digits[i] + c;
result.digits[i] = n % biRadix;
c = Number(n >= biRadix);
}
result.isNeg = x.isNeg;
}
return result;
};
RSAUtils.biSubtract = function(x, y) {
var result;
if (x.isNeg != y.isNeg) {
y.isNeg = !y.isNeg;
result = RSAUtils.biAdd(x, y);
y.isNeg = !y.isNeg;
} else {
result = new BigInt();
var n, c;
c = 0;
for (var i = 0; i < x.digits.length; ++i) {
n = x.digits[i] - y.digits[i] + c;
result.digits[i] = n % biRadix;
// Stupid non-conforming modulus operation.
if (result.digits[i] < 0) result.digits[i] += biRadix;
c = 0 - Number(n < 0);
}
// Fix up the negative sign, if any.
if (c == -1) {
c = 0;
for (var i = 0; i < x.digits.length; ++i) {
n = 0 - result.digits[i] + c;
result.digits[i] = n % biRadix;
// Stupid non-conforming modulus operation.
if (result.digits[i] < 0) result.digits[i] += biRadix;
c = 0 - Number(n < 0);
}
// Result is opposite sign of arguments.
result.isNeg = !x.isNeg;
} else {
// Result is same sign.
result.isNeg = x.isNeg;
}
}
return result;
};
RSAUtils.biHighIndex = function(x) {
var result = x.digits.length - 1;
while (result > 0 && x.digits[result] == 0) --result;
return result;
};
RSAUtils.biNumBits = function(x) {
var n = RSAUtils.biHighIndex(x);
var d = x.digits[n];
var m = (n + 1) * bitsPerDigit;
var result;
for (result = m; result > m - bitsPerDigit; --result) {
if ((d & 0x8000) != 0) break;
d <<= 1;
}
return result;
};
RSAUtils.biMultiply = function(x, y) {
var result = new BigInt();
var c;
var n = RSAUtils.biHighIndex(x);
var t = RSAUtils.biHighIndex(y);
var u, uv, k;
for (var i = 0; i <= t; ++i) {
c = 0;
k = i;
for (j = 0; j <= n; ++j, ++k) {
uv = result.digits[k] + x.digits[j] * y.digits[i] + c;
result.digits[k] = uv & maxDigitVal;
c = uv >>> biRadixBits;
//c = Math.floor(uv / biRadix);
}
result.digits[i + n + 1] = c;
}
// Someone give me a logical xor, please.
result.isNeg = x.isNeg != y.isNeg;
return result;
};
RSAUtils.biMultiplyDigit = function(x, y) {
var n, c, uv;
result = new BigInt();
n = RSAUtils.biHighIndex(x);
c = 0;
for (var j = 0; j <= n; ++j) {
uv = result.digits[j] + x.digits[j] * y + c;
result.digits[j] = uv & maxDigitVal;
c = uv >>> biRadixBits;
//c = Math.floor(uv / biRadix);
}
result.digits[1 + n] = c;
return result;
};
RSAUtils.arrayCopy = function(src, srcStart, dest, destStart, n) {
var m = Math.min(srcStart + n, src.length);
for (var i = srcStart, j = destStart; i < m; ++i, ++j) {
dest[j] = src[i];
}
};
var highBitMasks = [0x0000, 0x8000, 0xC000, 0xE000, 0xF000, 0xF800,
0xFC00, 0xFE00, 0xFF00, 0xFF80, 0xFFC0, 0xFFE0,
0xFFF0, 0xFFF8, 0xFFFC, 0xFFFE, 0xFFFF];
RSAUtils.biShiftLeft = function(x, n) {
var digitCount = Math.floor(n / bitsPerDigit);
var result = new BigInt();
RSAUtils.arrayCopy(x.digits, 0, result.digits, digitCount,
result.digits.length - digitCount);
var bits = n % bitsPerDigit;
var rightBits = bitsPerDigit - bits;
for (var i = result.digits.length - 1, i1 = i - 1; i > 0; --i, --i1) {
result.digits[i] = ((result.digits[i] << bits) & maxDigitVal) |
((result.digits[i1] & highBitMasks[bits]) >>>
(rightBits));
}
result.digits[0] = ((result.digits[i] << bits) & maxDigitVal);
result.isNeg = x.isNeg;
return result;
};
var lowBitMasks = [0x0000, 0x0001, 0x0003, 0x0007, 0x000F, 0x001F,
0x003F, 0x007F, 0x00FF, 0x01FF, 0x03FF, 0x07FF,
0x0FFF, 0x1FFF, 0x3FFF, 0x7FFF, 0xFFFF];
RSAUtils.biShiftRight = function(x, n) {
var digitCount = Math.floor(n / bitsPerDigit);
var result = new BigInt();
RSAUtils.arrayCopy(x.digits, digitCount, result.digits, 0,
x.digits.length - digitCount);
var bits = n % bitsPerDigit;
var leftBits = bitsPerDigit - bits;
for (var i = 0, i1 = i + 1; i < result.digits.length - 1; ++i, ++i1) {
result.digits[i] = (result.digits[i] >>> bits) |
((result.digits[i1] & lowBitMasks[bits]) << leftBits);
}
result.digits[result.digits.length - 1] >>>= bits;
result.isNeg = x.isNeg;
return result;
};
RSAUtils.biMultiplyByRadixPower = function(x, n) {
var result = new BigInt();
RSAUtils.arrayCopy(x.digits, 0, result.digits, n, result.digits.length - n);
return result;
};
RSAUtils.biDivideByRadixPower = function(x, n) {
var result = new BigInt();
RSAUtils.arrayCopy(x.digits, n, result.digits, 0, result.digits.length - n);
return result;
};
RSAUtils.biModuloByRadixPower = function(x, n) {
var result = new BigInt();
RSAUtils.arrayCopy(x.digits, 0, result.digits, 0, n);
return result;
};
RSAUtils.biCompare = function(x, y) {
if (x.isNeg != y.isNeg) {
return 1 - 2 * Number(x.isNeg);
}
for (var i = x.digits.length - 1; i >= 0; --i) {
if (x.digits[i] != y.digits[i]) {
if (x.isNeg) {
return 1 - 2 * Number(x.digits[i] > y.digits[i]);
} else {
return 1 - 2 * Number(x.digits[i] < y.digits[i]);
}
}
}
return 0;
};
RSAUtils.biDivideModulo = function(x, y) {
var nb = RSAUtils.biNumBits(x);
var tb = RSAUtils.biNumBits(y);
var origYIsNeg = y.isNeg;
var q, r;
if (nb < tb) {
// |x| < |y|
if (x.isNeg) {
q = RSAUtils.biCopy(bigOne);
q.isNeg = !y.isNeg;
x.isNeg = false;
y.isNeg = false;
r = biSubtract(y, x);
// Restore signs, ‘cause they‘re references.
x.isNeg = true;
y.isNeg = origYIsNeg;
} else {
q = new BigInt();
r = RSAUtils.biCopy(x);
}
return [q, r];
}
q = new BigInt();
r = x;
// Normalize Y.
var t = Math.ceil(tb / bitsPerDigit) - 1;
var lambda = 0;
while (y.digits[t] < biHalfRadix) {
y = RSAUtils.biShiftLeft(y, 1);
++lambda;
++tb;
t = Math.ceil(tb / bitsPerDigit) - 1;
}
// Shift r over to keep the quotient constant. We‘ll shift the
// remainder back at the end.
r = RSAUtils.biShiftLeft(r, lambda);
nb += lambda; // Update the bit count for x.
var n = Math.ceil(nb / bitsPerDigit) - 1;
var b = RSAUtils.biMultiplyByRadixPower(y, n - t);
while (RSAUtils.biCompare(r, b) != -1) {
++q.digits[n - t];
r = RSAUtils.biSubtract(r, b);
}
for (var i = n; i > t; --i) {
var ri = (i >= r.digits.length) ? 0 : r.digits[i];
var ri1 = (i - 1 >= r.digits.length) ? 0 : r.digits[i - 1];
var ri2 = (i - 2 >= r.digits.length) ? 0 : r.digits[i - 2];
var yt = (t >= y.digits.length) ? 0 : y.digits[t];
var yt1 = (t - 1 >= y.digits.length) ? 0 : y.digits[t - 1];
if (ri == yt) {
q.digits[i - t - 1] = maxDigitVal;
} else {
q.digits[i - t - 1] = Math.floor((ri * biRadix + ri1) / yt);
}
var c1 = q.digits[i - t - 1] * ((yt * biRadix) + yt1);
var c2 = (ri * biRadixSquared) + ((ri1 * biRadix) + ri2);
while (c1 > c2) {
--q.digits[i - t - 1];
c1 = q.digits[i - t - 1] * ((yt * biRadix) | yt1);
c2 = (ri * biRadix * biRadix) + ((ri1 * biRadix) + ri2);
}
b = RSAUtils.biMultiplyByRadixPower(y, i - t - 1);
r = RSAUtils.biSubtract(r, RSAUtils.biMultiplyDigit(b, q.digits[i - t - 1]));
if (r.isNeg) {
r = RSAUtils.biAdd(r, b);
--q.digits[i - t - 1];
}
}
r = RSAUtils.biShiftRight(r, lambda);
// Fiddle with the signs and stuff to make sure that 0 <= r < y.
q.isNeg = x.isNeg != origYIsNeg;
if (x.isNeg) {
if (origYIsNeg) {
q = RSAUtils.biAdd(q, bigOne);
} else {
q = RSAUtils.biSubtract(q, bigOne);
}
y = RSAUtils.biShiftRight(y, lambda);
r = RSAUtils.biSubtract(y, r);
}
// Check for the unbelievably stupid degenerate case of r == -0.
if (r.digits[0] == 0 && RSAUtils.biHighIndex(r) == 0) r.isNeg = false;
return [q, r];
};
RSAUtils.biDivide = function(x, y) {
return RSAUtils.biDivideModulo(x, y)[0];
};
RSAUtils.biModulo = function(x, y) {
return RSAUtils.biDivideModulo(x, y)[1];
};
RSAUtils.biMultiplyMod = function(x, y, m) {
return RSAUtils.biModulo(RSAUtils.biMultiply(x, y), m);
};
RSAUtils.biPow = function(x, y) {
var result = bigOne;
var a = x;
while (true) {
if ((y & 1) != 0) result = RSAUtils.biMultiply(result, a);
y >>= 1;
if (y == 0) break;
a = RSAUtils.biMultiply(a, a);
}
return result;
};
RSAUtils.biPowMod = function(x, y, m) {
var result = bigOne;
var a = x;
var k = y;
while (true) {
if ((k.digits[0] & 1) != 0) result = RSAUtils.biMultiplyMod(result, a, m);
k = RSAUtils.biShiftRight(k, 1);
if (k.digits[0] == 0 && RSAUtils.biHighIndex(k) == 0) break;
a = RSAUtils.biMultiplyMod(a, a, m);
}
return result;
};
$w.BarrettMu = function(m) {
this.modulus = RSAUtils.biCopy(m);
this.k = RSAUtils.biHighIndex(this.modulus) + 1;
var b2k = new BigInt();
b2k.digits[2 * this.k] = 1; // b2k = b^(2k)
this.mu = RSAUtils.biDivide(b2k, this.modulus);
this.bkplus1 = new BigInt();
this.bkplus1.digits[this.k + 1] = 1; // bkplus1 = b^(k+1)
this.modulo = BarrettMu_modulo;
this.multiplyMod = BarrettMu_multiplyMod;
this.powMod = BarrettMu_powMod;
};
function BarrettMu_modulo(x) {
var $dmath = RSAUtils;
var q1 = $dmath.biDivideByRadixPower(x, this.k - 1);
var q2 = $dmath.biMultiply(q1, this.mu);
var q3 = $dmath.biDivideByRadixPower(q2, this.k + 1);
var r1 = $dmath.biModuloByRadixPower(x, this.k + 1);
var r2term = $dmath.biMultiply(q3, this.modulus);
var r2 = $dmath.biModuloByRadixPower(r2term, this.k + 1);
var r = $dmath.biSubtract(r1, r2);
if (r.isNeg) {
r = $dmath.biAdd(r, this.bkplus1);
}
var rgtem = $dmath.biCompare(r, this.modulus) >= 0;
while (rgtem) {
r = $dmath.biSubtract(r, this.modulus);
rgtem = $dmath.biCompare(r, this.modulus) >= 0;
}
return r;
}
function BarrettMu_multiplyMod(x, y) {
/*
x = this.modulo(x);
y = this.modulo(y);
*/
var xy = RSAUtils.biMultiply(x, y);
return this.modulo(xy);
}
function BarrettMu_powMod(x, y) {
var result = new BigInt();
result.digits[0] = 1;
var a = x;
var k = y;
while (true) {
if ((k.digits[0] & 1) != 0) result = this.multiplyMod(result, a);
k = RSAUtils.biShiftRight(k, 1);
if (k.digits[0] == 0 && RSAUtils.biHighIndex(k) == 0) break;
a = this.multiplyMod(a, a);
}
return result;
}
var RSAKeyPair = function(encryptionExponent, decryptionExponent, modulus) {
var $dmath = RSAUtils;
this.e = $dmath.biFromHex(encryptionExponent);
this.d = $dmath.biFromHex(decryptionExponent);
this.m = $dmath.biFromHex(modulus);
// We can do two bytes per digit, so
// chunkSize = 2 * (number of digits in modulus - 1).
// Since biHighIndex returns the high index, not the number of digits, 1 has
// already been subtracted.
this.chunkSize = 2 * $dmath.biHighIndex(this.m);
this.radix = 16;
this.barrett = new $w.BarrettMu(this.m);
};
RSAUtils.getKeyPair = function(encryptionExponent, decryptionExponent, modulus) {
return new RSAKeyPair(encryptionExponent, decryptionExponent, modulus);
};
if(typeof $w.twoDigit === ‘undefined‘) {
$w.twoDigit = function(n) {
return (n < 10 ? "0" : "") + String(n);
};
}
// Altered by Rob Saunders ([email protected]). New routine pads the
// string after it has been converted to an array. This fixes an
// incompatibility with Flash MX‘s ActionScript.
RSAUtils.encryptedString = function(key, s) {
var a = [];
var sl = s.length;
var i = 0;
while (i < sl) {
a[i] = s.charCodeAt(i);
i++;
}
while (a.length % key.chunkSize != 0) {
a[i++] = 0;
}
var al = a.length;
var result = "";
var j, k, block;
for (i = 0; i < al; i += key.chunkSize) {
block = new BigInt();
j = 0;
for (k = i; k < i + key.chunkSize; ++j) {
block.digits[j] = a[k++];
block.digits[j] += a[k++] << 8;
}
var crypt = key.barrett.powMod(block, key.e);
var text = key.radix == 16 ? RSAUtils.biToHex(crypt) : RSAUtils.biToString(crypt, key.radix);
result += text + " ";
}
return result.substring(0, result.length - 1); // Remove last space.
};
RSAUtils.decryptedString = function(key, s) {
var blocks = s.split(" ");
var result = "";
var i, j, block;
for (i = 0; i < blocks.length; ++i) {
var bi;
if (key.radix == 16) {
bi = RSAUtils.biFromHex(blocks[i]);
}
else {
bi = RSAUtils.biFromString(blocks[i], key.radix);
}
block = key.barrett.powMod(bi, key.d);
for (j = 0; j <= RSAUtils.biHighIndex(block); ++j) {
result += String.fromCharCode(block.digits[j] & 255,
block.digits[j] >> 8);
}
}
// Remove trailing null, if any.
if (result.charCodeAt(result.length - 1) == 0) {
result = result.substring(0, result.length - 1);
}
return result;
};
RSAUtils.setMaxDigits(130);
})(window);
</script>
</head>
<body>
<p id="user">Hello World!</p>
<p id="exponent">Hello World!</p>
<p id="modulus">Hello World!</p>
<p id="result">Hello World!</p>
<script>
function GetRequest(){
var url = location.search; //获取url中"?"符后的字串
var theRequest = new Object();
if (url.indexOf("?") != -1){
var str = url.substr(1);
strs = str.split("&");
for(var i = 0; i < strs.length; i ++){
theRequest[strs[i].split("=")[0]]=unescape(strs[i].split("=")[1]);
}
}
return theRequest;
}
var Request = new Object();
Request = GetRequest();
var user;
user= Request[‘user‘];
document.getElementById("user").innerHTML = user;
function sleep(numberMillis) {
var now = new Date();
var exitTime = now.getTime() + numberMillis;
while (true) {
now = new Date();
if (now.getTime() > exitTime)
return;
}
}
var exponent = ‘010001‘
var modulus = ‘***********************************************‘
document.getElementById("exponent").innerHTML = exponent;
document.getElementById("modulus").innerHTML = modulus;
RSAPUB_KEY = RSAUtils.getKeyPair(exponent,‘‘,modulus);
enpassword = RSAUtils.encryptedString(RSAPUB_KEY,user);
document.getElementById("result").innerHTML = enpassword;
console.log(enpassword);
</script>
</body>
</html>""")
#self.send_response(‘index.html‘);
#self.end_headers();
return
if __name__ == "__main__":
server = HTTPServer((‘127.0.0.1‘, 9999), RequestHandler);
print "Starting server, use <Ctrl-C> to stop";
server.serve_forever();
客户端发送get请求，把待加密信息作为参数传过来，python的webserver实现加密，并传回结果。
（ps. js代码本来想通过文件路径的方式调用，但是调试时出现报错，于是直接将代码拷到head里面了。直接调js文件路径的方式，不知道是否可行，待研究。。。）
但是这种方法，要保证server一直运行，实际使用中比较麻烦。
2 使用python的rsa第三方库实现rsa加密：
python能做rsa加密的库从网上搜到三种：PyCrypto，rsa，M2Crypto
因为我们从网站响应中只能拿到e和n两个值，需要通过（e，n）获取公钥。
发现PyCrypto和rsa有这种功能，M2Crypto 没有找到，加上M2Crypto 安装比较麻烦，就没有试。
使用使用PyCrypto加密：
import Crypto.PublicKey.RSA
from Crypto.PublicKey import RSA
#from Crypto.Cipher import PKCS1_OAEP
from Crypto.Cipher import PKCS1_v1_5 as Cipher_pkcs1_v1_5
from Crypto.Signature import PKCS1_v1_5 as Signature_pkcs1_v1_5
from Crypto.Hash import SHA
import binascii
def rsaEncrypt1(str):
timespan = 1411093327735 - int(time.time())*1000;
rsakey = Crypto.PublicKey.RSA.construct((long(n,16),long(e,16))) #根据e,n生成publicKey
public_key = rsakey.publickey().exportKey()
with open(‘master-public.pem‘, ‘w‘) as f:
f.write(public_key)
with open(‘master-public.pem‘) as f:
key = f.read()
rsakey = RSA.importKey(key)
cipher = Cipher_pkcs1_v1_5.new(rsakey)
crypto = cipher.encrypt(str)
en= binascii.b2a_hex(crypto)
print en
return en
rsaEncrypt1(‘12345678‘)
这种加密方式使用的padding方式（填充方式）是pkcs1_v1_5,同一字符串每次加密结果不一样，与js实现结果不符。
pyCrypto还支持一种填充方式，PKCS1_OAEP，试了下，也是同一字符串每次加密结果不一样
使用rsa库加密：
import rsa
def useRsaEn(str):
rsaPublickey = long(n, 16) #n为modulus
key = rsa.PublicKey(rsaPublickey, 65537) #65537 为e，一般等于010001
passwd = rsa.encrypt(str, key)
passwd = binascii.b2a_hex(passwd)
print passwd
return passwd
useRsaEn(‘12345566‘)
这种加密出来的结果也是相同字符串，结果不一样，猜测是用的pkcs1的填充方式。
相同字符串每次加密结果不一样，看网上的解释是填充方式采用的随机方式，如果结果每次一样，应该是使用的no padding模式。
至于js中相同字符串每次结果一样，应该使用的是no padding填充方式，手动在末尾做填充，而不是随机填充。
找了这两个库的文档，发现没有使用无填充加密的方法。
因此使用现成rsa库加密的方式行不通！
该不会只能读懂js代码再用python实现吧~~最后灵机一动，试试用python直接调用js代码是否可行。
3 python调用js函数实现rsa加密
python调用js的库真的有几个，选了个用的人比较多，安装不那么费劲的PyV8。windows直接下exe安装程序即可。
import PyV8
def usePyV8(message):
ctxt = PyV8.JSContext()
ctxt.__enter__()
js_file = open(‘security.js‘) #security.js在当前目录下
js_data = js_file.read()
js_file.close()
ctxt.eval(js_data)
rsaEn = ctxt.locals.rsaEn #rsaEn 为security.js中的function
ret=rsaEn(message) #message为rsaEn函数的入参
print ret
usePyV8(‘12345678‘)
经实验，发现确实可行！就是js代码需要稍做修改，比如： (function($w) { })(window); 这种貌似不能识别，我把$w 这种都直接删掉了。
收获：
1、熟悉了rsa加密算法原理
2、熟悉了python webserver的实现
3、熟悉了python rsa库的使用方法
4、熟悉了python调用js的方法
5、熟悉了chrome调试js的方法，对js语法理解更深入
最后还解决了问题，完美！
时间： 2024-10-25 02:41:10