LoadRunner 12 模拟 RSA加密 登录的实现(JS)
LR 12 中 web_js_run API 非常坑,只能调用一个 JS 文件;更坑的是,不能通用 一个JS调用另外一个JS;(可能有,但在网上找了N个国家,都没有找到!如有,还请朋友告之,谢谢。)
现大部分的前端登录都有使用到RSA加密,以保障用户在登录的时候,账号密码不直接以明文方式传输,经过加密的账号密码即使被截取,也难以破解出真实的账号密码;
RSA 相关信息请自行搜索了解或下载, RSA加密算法在网上有N多开源的现成库可用(前、后端库);
经RSA加密的登录流程大致为:
1、前端在登录时会向服务端请求 RSA 四个关键值: PublicKey , Exponent ,rKey , Modulus;
2、前端使用获取到的 Exponent , Modulus ( 通过 RSA 库在前端执行)计算出私钥,然后使用获得的公钥以及私钥 对 用户的账号密码 进行加密,并生成加密后的字符串;
3、最后前端将完成加密的字符串发送给服务端,服务端解密成功后,返回登录成功的状态;
以下将以RSA加密登录为例,演示在Loadrunner 中的如何实现;
Action()
{
//char cliEncrypt[1000]; //用于保存需要加密的拼接好的字符串
int rc=0;
lr_save_string("19000000026","mobileNumberSet");//参数化的正确姿势 lr_save_string(lr_eval_string("{user_mobile}"),"mobileNumberSet");
lr_save_string("123456","pwdSet");
lr_save_string("","imgVerifyCodeSet"); web_reg_save_param("SerJsonData", "LB=", "RB=", "Search=Body", LAST); web_submit_data("encryptKey.action",
"Action=http://192.168.1.16/surperman/login/encryptKey.action",
"Method=GET",
"RecContentType=text/html",
"Referer=",
"Snapshot=t19.inf",
"Mode=HTML",
ITEMDATA,
LAST); lr_output_message("# 获取密钥响应内容体:\n%s", lr_eval_string("{SerJsonData}")); web_js_run(
"Code=getPublicKey(LR.getParam('SerJsonData'));",
"ResultParam=getDataPublicKey",
SOURCES,
"File=getkey.js",ENDITEM,
LAST); web_js_run(
"Code=getExponent(LR.getParam('SerJsonData'));",
"ResultParam=getDataExponent",
SOURCES,
"File=getkey.js",ENDITEM,
LAST); web_js_run(
"Code=getrKey(LR.getParam('SerJsonData'));",
"ResultParam=getDatarKey",
SOURCES,
"File=getkey.js",ENDITEM,
LAST); web_js_run(
"Code=getModulus(LR.getParam('SerJsonData'));",
"ResultParam=getDataModulus",
SOURCES,
"File=getkey.js",ENDITEM,
LAST); lr_output_message("# getDataPublicKey 的值为:\n%s", lr_eval_string("{getDataPublicKey}"));
lr_output_message("# getDataExponent 的值为:\n%s", lr_eval_string("{getDataExponent}"));
lr_output_message("# getDatarKey 的值为:\n%s", lr_eval_string("{getDatarKey}"));
lr_output_message("# getDataModulus 的值为:\n%s", lr_eval_string("{getDataModulus}")); /*
lr_output_message("# mobileNumberSet 的值为:\n%s", lr_eval_string("{mobileNumberSet}"));
lr_output_message("# pwdSet 的值为:\n%s", lr_eval_string("{pwdSet}"));
lr_output_message("# imgVerifyCodeSet 的值为:\n%s", lr_eval_string("{imgVerifyCodeSet}"));
*/
//拼接 输入的手机号、密码等 需要加密字符串
//sprintf(cliEncrypt,"mobileNumber=%s&pwd=%s&imgVerifyCode=%s",lr_eval_string("{mobileNumberSet}"),lr_eval_string("{pwdSet}"),lr_eval_string("{imgVerifyCodeSet}")); //将拼接好的字符串赋值给参数 parCliEncrypt
//lr_save_string(cliEncrypt,"parCliEncrypt");
//lr_output_message(lr_eval_string("{parCliEncrypt}")); web_js_run(
"Code=createEncrypt();",
"ResultParam=NewkeyEncrypt",
SOURCES,
"File=loginEncryptStr.js",
ENDITEM,
LAST); lr_output_message("# NewkeyEncrypt 的值为:\n%s", lr_eval_string("{NewkeyEncrypt}")); /*输入账号密码后,点击登录*/ web_reg_save_param("newTokenJson", "LB=", "RB=", "Search=Body", LAST); rc=web_custom_request("userPwdLogin.action",
"URL=http://192.168.1.16/surperman/login/userPwdLogin.action",
"Method=POST",
"Resource=0",
"RecContentType=text/html",
"Referer=",
"Snapshot=t21.inf",
"Mode=HTML",
"Body=encrypt={NewkeyEncrypt}&rKey={getDatarKey}",
LAST); // 返回的字符串需要做编码转换处理,否则中文会显示为乱码
lr_convert_string_encoding(lr_eval_string("{newTokenJson}"),"utf-8",NULL,"newTokenJsonUTF"); lr_output_message("# newTokenJson 的值为:\n%s", lr_eval_string("{newTokenJson}"));
lr_output_message("# newTokenJsonUTF 的值为:\n%s\nJS执行结果:%d", lr_eval_string("{newTokenJsonUTF}"), rc); return 0;
}
LR 中 web_js_run 所调用的 getkey.js 长这样:
function getPublicKey(stringData)
{
var data = JSON.parse(stringData);
return data.publicKey;
} function getExponent(stringData)
{
var data = JSON.parse(stringData);
return data.exponent;
} function getrKey(stringData)
{
var data = JSON.parse(stringData);
return data.rKey;
} function getModulus(stringData)
{
var data = JSON.parse(stringData);
return data.modulus;
}
LR 中 web_js_run 所调用的 loginEncryptStr.js 长这样(RSA 库前端开源部分代码可以直接跳过):
// RSA 库前端开源部分 - 开始
var 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 = window.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;
}; window.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) {
alert(1);
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 window.BarrettMu(this.m);
}; RSAUtils.getKeyPair = function (encryptionExponent, decryptionExponent, modulus) {
return new RSAKeyPair(encryptionExponent, decryptionExponent, modulus);
}; if (typeof window.twoDigit === 'undefined') {
window.twoDigit = function (n) {
return (n < 10 ? "0" : "") + String(n);
};
} // Altered by Rob Saunders (rob@robsaunders.net). 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);
// RSA 库前端开源部分 - 结束 // 以下为LR调用RSA加密实现的关键代码
function createEncrypt() {
//LR.loadLibrary('rsaiutil.js');
//mobileNumberSet;//输入的手机号
//pwdSet;//输入的密码
//imgVerifyCodeSet;//输入的图形验证码 // 通过 LR.getParam('mobileNumberSet') 可以在 JS 脚本中直接获取 LR 脚本的参数
var cliPublicKey = new RSAUtils.getKeyPair(LR.getParam('getDataExponent'), "", LR.getParam('getDataModulus'));
var encrypt = "mobileNumber=" + LR.getParam('mobileNumberSet') + "&pwd=" + LR.getParam('pwdSet') + "&imgVerifyCode=" + LR.getParam('imgVerifyCodeSet');//
encrypt = encrypt.split("").reverse().join("");//将需要加密的字符串反序排列
encrypt = RSAUtils.encryptedString(cliPublicKey, encrypt); //获得加密后的字符串
return encrypt;
}
运行 Action 的结果:
虚拟用户脚本已于 : 2018/2/24 Saturday PM 4:05:06 启动
正在开始操作 vuser_init。
LoadRunner 12.53.0 (Windows 7) 的 Web Turbo 回放;内部版本 1203 (二月 24 2018 19:13:20) [MsgId: MMSG-26983]
运行模式: HTML [MsgId: MMSG-26993]
回放用户代理: Mozilla/5.0 (compatible; MSIE 10.0; Windows NT 6.1; Trident/6.0) [MsgId: MMSG-26988]
运行时设置文件: "C:\Users\VuGen\Scripts\WebHttpHtml6\\default.cfg" [MsgId: MMSG-27141]
正在结束操作 vuser_init。
正在运行 Vuser...
正在开始迭代 1。
每个服务器的最大并发连接数: 6 [MsgId: MMSG-26989]
正在开始操作 Action。
Action.c(24): web_reg_save_param 已启动 [MsgId: MMSG-26355]
Action.c(24): 注册 web_reg_save_param 成功 [MsgId: MMSG-26390]
Action.c(26): web_submit_data("encryptKey.action") 已启动 [MsgId: MMSG-26355]
Action.c(26): web_submit_data("encryptKey.action") 已成功,613 个正文字节,155 个标头字节 [MsgId: MMSG-26386]
Action.c(36): # 获取密钥响应内容体:
{"publicKey":"MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQDBEZM4rLUDmybC9qFGLUwTFNsAbUFxyb\/SDTPr\nfVVgrkg1PL4yTOFyHgJe5oMcZyR0hqdz8fGpkesiN20dWwUem67tAszHgIHcVuswwyT2nV7pUNMj\nz53v5QWHsZ6\/oW1LXVnGYwvjVATHc1p2VOuATGw28XDEukWyGcKzTtcwzwIDAQAB\n","error_msg":"ok","error_code":0,"exponent":"010001","rKey":"5406701c505548beb3c1043bbcee5229","modulus":"00c1119338acb5039b26c2f6a1462d4c1314db006d4171c9bfd20d33eb7d5560ae48353cbe324ce1721e025ee6831c67247486a773f1f1a991eb22376d1d5b051e9baeed02ccc78081dc56eb30c324f69d5ee950d323cf9defe50587b19ebfa16d4b5d59c6630be35404c7735a7654eb804c6c36f170c4ba45b219c2b34ed730cf"}
Action.c(38): web_js_run 已启动 [MsgId: MMSG-26355]
Action.c(38): web_js_run 已成功 [MsgId: MMSG-26392]
Action.c(45): web_js_run 已启动 [MsgId: MMSG-26355]
Action.c(45): web_js_run 已成功 [MsgId: MMSG-26392]
Action.c(52): web_js_run 已启动 [MsgId: MMSG-26355]
Action.c(52): web_js_run 已成功 [MsgId: MMSG-26392]
Action.c(59): web_js_run 已启动 [MsgId: MMSG-26355]
Action.c(59): web_js_run 已成功 [MsgId: MMSG-26392]
Action.c(66): # getDataPublicKey 的值为:
MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQDBEZM4rLUDmybC9qFGLUwTFNsAbUFxyb/SDTPr\nfVVgrkg1PL4yTOFyHgJe5oMcZyR0hqdz8fGpkesiN20dWwUem67tAszHgIHcVuswwyT2nV7pUNMj\nz53v5QWHsZ6/oW1LXVnGYwvjVATHc1p2VOuATGw28XDEukWyGcKzTtcwzwIDAQAB\n
Action.c(67): # getDataExponent 的值为:
010001
Action.c(68): # getDatarKey 的值为:
5406701c505548beb3c1043bbcee5229
Action.c(69): # getDataModulus 的值为:
00c1119338acb5039b26c2f6a1462d4c1314db006d4171c9bfd20d33eb7d5560ae48353cbe324ce1721e025ee6831c67247486a773f1f1a991eb22376d1d5b051e9baeed02ccc78081dc56eb30c324f69d5ee950d323cf9defe50587b19ebfa16d4b5d59c6630be35404c7735a7654eb804c6c36f170c4ba45b219c2b34ed730cf
Action.c(109): web_js_run 已启动 [MsgId: MMSG-26355]
Alert from JS (len=1): 1
Action.c(109): web_js_run 已成功 [MsgId: MMSG-26392]
Action.c(117): # NewkeyEncrypt 的值为:
4ea861aa44b8d90b08677e525ebd2607a992b87108308329fb01afd518bf4104344cb26e149ec43416a8181ad4cfc7e358e9ca2a2eab0a9072e5d86182e91f524376a3414b268244c62a2e149ac905679f66dd455ea386537136660508a3af71b479df9dc7beaf21ef5f2e70edfad8e88c64af35415e68258599c4b09791e43e
Action.c(121): web_reg_save_param 已启动 [MsgId: MMSG-26355]
Action.c(121): 注册 web_reg_save_param 成功 [MsgId: MMSG-26390]
Action.c(123): web_custom_request("userPwdLogin.action") 已启动 [MsgId: MMSG-26355]
Action.c(123): web_custom_request("userPwdLogin.action") 已成功,490 个正文字节,155 个标头字节 [MsgId: MMSG-26386]
Action.c(137): # newTokenJson 的值为:
{"portraitUrl":"http:\/\/test.666.com\/pt\/com\/img\/default-doctor-portrait.jpg","userGuideStat":null,"error_msg":"鐧诲綍鎴愬姛","nickname":"鍖昏€?6","alias":"dev473002","token":"cbc70505fccd4866aa88f3404a4ab8d1","error_code":0,"tag":"dev鍖荤敓","user_id":473002,"portraitUuid":"","type":"鍖荤敓","statistics":{"dtOnlinePrescOrdersPaid":0,"userId":473002,"role":"dt","dtOnlinePrescOrders":170,"lastLoginTime":"201802","registerTime":"2017-05-16 10:47:51","dtQualified":true}}
Action.c(138): # newTokenJsonUTF 的值为:
{"portraitUrl":"http:\/\/test.666.com\/pt\/com\/img\/default-doctor-portrait.jpg","userGuideStat":null,"error_msg":"登录成功","nickname":"医者26","alias":"dev473002","token":"cbc70505fccd4866aa88f3404a4ab8d1","error_code":0,"tag":"dev侵权者","user_id":473002,"portraitUuid":"","type":"侵权者","statistics":{"dtOnlinePrescOrdersPaid":0,"userId":473002,"role":"dt","dtOnlinePrescOrders":170,"lastLoginTime":"201802","registerTime":"2017-05-16 10:47:51","dtQualified":true}}
JS执行结果:0
正在结束操作 Action。
正在结束迭代 1。
正在结束 Vuser...
正在开始操作 vuser_end。
正在结束操作 vuser_end。
Vuser 已终止。
另:开源的 RSA库 在未修改时,是独立的一个 JS 文件;未修改前是长这样:
/*
* RSA, a suite of routines for performing RSA public-key computations in JavaScript.
* Copyright 1998-2005 David Shapiro.
* Dave Shapiro
* dave@ohdave.com
* changed by Fuchun, 2010-05-06
* fcrpg2005@gmail.com
*/ (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 (rob@robsaunders.net). 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);
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