RSA公钥加密私钥解密
公司的项目需要电科院测评，必须保证数据的完整性和保密性，为这两个特性不得不搞个RSA+SHA1加密。
页面处理过程：
每次登录前，先向后端发送请求，由RSA生成一对公钥和私钥，获取公钥中的模modulus和指数exponent，然后传到前端，私钥存入当前请求的session中。前端使用security.js先根据后传过来模和指数生成公钥，然后用公钥加密密码。
对加密后的数据进行SHA1校验，计算出HashCode，然后进行登录时将哈希值一并传到后端，后端从请求中解析出数据再次计算HashCode并于页面传递来的HashCode进行比较，若不一致则数据可能被篡改。再使用私钥解密，验证密码的正确性。
首先必不可少的就是jar包，和js文件
jar 包 bcprov-jdk16-146.jar 和commons-codec-1.2.jar
js：jquery.min.js，SHA1.js和security.js
Java生成秘钥工具类RSAUtils
package com.founder.mrp.util; import java.math.BigInteger; import java.security.KeyFactory; import java.security.KeyPair; import java.security.KeyPairGenerator; import java.security.NoSuchAlgorithmException; import java.security.Security; import java.security.interfaces.RSAPrivateKey; import java.security.interfaces.RSAPublicKey; import java.security.spec.RSAPrivateKeySpec; import java.security.spec.RSAPublicKeySpec; import java.util.HashMap; import javax.crypto.Cipher;
/**
* @Auther: hanwl
* @Date: 20190822
* @Description:
*/
public class RSAUtils { /** * * 生成公钥和私钥 * * @throws NoSuchAlgorithmException * */ public static HashMap<String, Object> getKeys() throws NoSuchAlgorithmException { Security.addProvider(new org.bouncycastle.jce.provider.BouncyCastleProvider()); HashMap<String, Object> map = new HashMap<String, Object>(); KeyPairGenerator keyPairGen = KeyPairGenerator.getInstance("RSA", new org.bouncycastle.jce.provider.BouncyCastleProvider()); keyPairGen.initialize(1024); KeyPair keyPair = keyPairGen.generateKeyPair(); RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic(); RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate(); map.put("public", publicKey); map.put("private", privateKey); return map; } /** * * 使用模和指数生成RSA公钥 * * @param modulus 模 * * @param exponent 指数 * * @return */ public static RSAPublicKey getPublicKey(String modulus, String exponent) { Security.addProvider(new org.bouncycastle.jce.provider.BouncyCastleProvider()); try { BigInteger b1 = new BigInteger(modulus); BigInteger b2 = new BigInteger(exponent); KeyFactory keyFactory = KeyFactory.getInstance("RSA", new org.bouncycastle.jce.provider.BouncyCastleProvider()); RSAPublicKeySpec keySpec = new RSAPublicKeySpec(b1, b2); return (RSAPublicKey) keyFactory.generatePublic(keySpec); } catch (Exception e) { e.printStackTrace(); return null; } } /** * * 使用模和指数生成RSA私钥 * * /None/NoPadding * * @param modulus * 模 * @param * exponent指数 * @return */ public static RSAPrivateKey getPrivateKey(String modulus, String exponent) { try { Security.addProvider(new org.bouncycastle.jce.provider.BouncyCastleProvider()); BigInteger b1 = new BigInteger(modulus); BigInteger b2 = new BigInteger(exponent); KeyFactory keyFactory = KeyFactory.getInstance("RSA", new org.bouncycastle.jce.provider.BouncyCastleProvider()); RSAPrivateKeySpec keySpec = new RSAPrivateKeySpec(b1, b2); return (RSAPrivateKey) keyFactory.generatePrivate(keySpec); } catch (Exception e) { e.printStackTrace(); return null; } } /** * * 公钥加密 * * * @param data * * @param publicKey * * @return * * @throws * Exception */ public static String encryptByPublicKey(String data, RSAPublicKey publicKey) throws Exception { Security.addProvider(new org.bouncycastle.jce.provider.BouncyCastleProvider()); Cipher cipher = Cipher.getInstance("RSA", new org.bouncycastle.jce.provider.BouncyCastleProvider()); cipher.init(Cipher.ENCRYPT_MODE, publicKey); // 模长 int key_len = publicKey.getModulus().bitLength() / 8; // 加密数据长度 <= 模长-11 String[] datas = splitString(data, key_len - 11); String mi = ""; // 如果明文长度大于模长-11则要分组加密 for (String s : datas) { mi += bcd2Str(cipher.doFinal(s.getBytes())); } return mi; } /** * * 私钥解密 * * * @param data * * @param privateKey * * @return * * @throws * Exception */ public static String decryptByPrivateKey(String data, RSAPrivateKey privateKey) throws Exception { Security.addProvider(new org.bouncycastle.jce.provider.BouncyCastleProvider()); Cipher cipher = Cipher.getInstance("RSA", new org.bouncycastle.jce.provider.BouncyCastleProvider()); cipher.init(Cipher.DECRYPT_MODE, privateKey); // 模长 int key_len = privateKey.getModulus().bitLength() / 8; byte[] bytes = data.getBytes(); byte[] bcd = ASCII_To_BCD(bytes, bytes.length); // System.err.println(bcd.length); // 如果密文长度大于模长则要分组解密 String ming = ""; byte[][] arrays = splitArray(bcd, key_len); for (byte[] arr : arrays) { ming += new String(cipher.doFinal(arr)); } return ming; } /** * * ASCII码转BCD码 * */ public static byte[] ASCII_To_BCD(byte[] ascii, int asc_len) { byte[] bcd = new byte[asc_len / 2]; int j = 0; for (int i = 0; i < (asc_len + 1) / 2; i++) { bcd[i] = asc_to_bcd(ascii[j++]); bcd[i] = (byte) (((j >= asc_len) ? 0x00 : asc_to_bcd(ascii[j++])) + (bcd[i] << 4)); } return bcd; } public static byte asc_to_bcd(byte asc) { byte bcd; if ((asc >= '0') && (asc <= '9')) bcd = (byte) (asc - '0'); else if ((asc >= 'A') && (asc <= 'F')) bcd = (byte) (asc - 'A' + 10); else if ((asc >= 'a') && (asc <= 'f')) bcd = (byte) (asc - 'a' + 10); else bcd = (byte) (asc - 48); return bcd; } /** * * BCD转字符串 */ public static String bcd2Str(byte[] bytes) { char temp[] = new char[bytes.length * 2], val; for (int i = 0; i < bytes.length; i++) { val = (char) (((bytes[i] & 0xf0) >> 4) & 0x0f); temp[i * 2] = (char) (val > 9 ? val + 'A' - 10 : val + '0'); val = (char) (bytes[i] & 0x0f); temp[i * 2 + 1] = (char) (val > 9 ? val + 'A' - 10 : val + '0'); } return new String(temp); } /** * * 拆分字符串 */ public static String[] splitString(String string, int len) { int x = string.length() / len; int y = string.length() % len; int z = 0; if (y != 0) { z = 1; } String[] strings = new String[x + z]; String str = ""; for (int i = 0; i < x + z; i++) { if (i == x + z - 1 && y != 0) { str = string.substring(i * len, i * len + y); } else { str = string.substring(i * len, i * len + len); } strings[i] = str; } return strings; } /** * *拆分数组 */ public static byte[][] splitArray(byte[] data, int len) { int x = data.length / len; int y = data.length % len; int z = 0; if (y != 0) { z = 1; } byte[][] arrays = new byte[x + z][]; byte[] arr; for (int i = 0; i < x + z; i++) { arr = new byte[len]; if (i == x + z - 1 && y != 0) { System.arraycopy(data, i * len, arr, 0, y); } else { System.arraycopy(data, i * len, arr, 0, len); } arrays[i] = arr; } return arrays; } public static void main(String[] args) throws Exception { HashMap<String, Object> map = getKeys(); // 生成公钥和私钥 RSAPublicKey publicKey = (RSAPublicKey) map.get("public"); RSAPrivateKey privateKey = (RSAPrivateKey) map.get("private"); // 模 String modulus = publicKey.getModulus().toString(); System.out.println("pubkey modulus=" + modulus); // 公钥指数 String public_exponent = publicKey.getPublicExponent().toString(); System.out.println("pubkey exponent=" + public_exponent); // 私钥指数 String private_exponent = privateKey.getPrivateExponent().toString(); System.out.println("private exponent=" + private_exponent); // 明文 String ming = "founder123"; // 使用模和指数生成公钥和私钥 RSAPublicKey pubKey = RSAUtils.getPublicKey(modulus, public_exponent); RSAPrivateKey priKey = RSAUtils.getPrivateKey(modulus,private_exponent); // 加密后的密文 String mi = RSAUtils.encryptByPublicKey(ming, pubKey); System.err.println("mi=" + mi); // 解密后的明文 String ming2 = RSAUtils.decryptByPrivateKey(mi, priKey); System.err.println("ming2=" + ming2); } }
Java计算SHA-1哈希值工具类SHA1Utils
package com.founder.mrp.util; import java.io.IOException; import java.security.GeneralSecurityException; import java.security.MessageDigest; /** * @Auther: hanwl * @Date: 20190822 * @Description: */ public class SHA1Utils { public static String getSHA1Digest(String data) throws IOException { byte[] bytes = null; try { MessageDigest md = MessageDigest.getInstance("SHA-1"); bytes = md.digest(data.getBytes("utf-8")); } catch (GeneralSecurityException gse) { throw new IOException(gse); } return byte2hex(bytes); } /** * 二进制转十六进制字符串 * * @param bytes * @return */ private static String byte2hex(byte[] bytes) { StringBuilder sign = new StringBuilder(); for (int i = 0; i < bytes.length; i++) { String hex = Integer.toHexString(bytes[i] & 0xFF); if (hex.length() == 1) { sign.append("0"); } sign.append(hex.toUpperCase()); } return sign.toString(); } }
前端ajax请求登录
登录页面需要引入js，security.js用模和指数生成公钥和加密，sha1.js计算哈希值
<script src="${pageContext.request.contextPath}/resources/bootstrap/js/security.js"></script> <script src="${pageContext.request.contextPath}/resources/bootstrap/js/SHA1.js"></script>
Form表单
<!-- BEGIN LOGIN --> <div class="content" id="loginForm"> <!-- BEGIN LOGIN FORM --> <form class="form-vertical login-form " method="post"> <div class="control-group"> <div class="controls"> <div class="input-icon left"> <img src="${pageContext.request.contextPath}/resources/images/user.png" /> <input class="m-wrap placeholder-no-fix" type="text" value="" name="username" id="username" /> <span class="placehold" id="username_place">用户名</span> <input type="text" value="" id="username_fade" class="fade_input" tabindex="-1"/> </div> </div> </div> <div class="control-group"> <div class="controls"> <div class="input-icon left"> <img src="${pageContext.request.contextPath}/resources/images/lock.png" class="lock"/> <input class="m-wrap placeholder-no-fix" type="password" value="" name="password" id="pwd"/> <span class="placehold" id="pwd_place">密 码</span> <input type="password" value="" id="username_fade" class="fade_input" tabindex="-1"/> </div> </div> </div> <div class="form-actions" style="height:60px;"> <label class="checkbox" style="display: none;"> <input type="checkbox" name="remember" value="1"/>自动登录 </label> <a href="/PodCloud/findPassWord.action" style="display: none;"> 找回密码</a> <a id="downloadClient" class="pull-right">下载客户端</a> <div id="clients" class="pull-right hide"> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAMCAYAAABWdVznAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAARhwAAEYcBQV9idQAAABl0RVh0U29mdHdhcmUAd3d3Lmlua3NjYXBlLm9yZ5vuPBoAAACTSURBVCiRvZIxCgJBEAS7lovMxFDNPEzN/ML9wJcs7JP0L/oBX2CkkScm1wYiyDFsJHZYMzUw0ChIzrlNKXXABljbXgIz2xNKKXtgJWkuaWq7AY6SttGxBth9A2CIFj9JteFPhAa4jtjD9hloQ8F2P2I9cA/4W5C0GLHB9i3gkv7xdLJ9kHSSdJH0tO2aQARr1XgBYQk33CTW7RkAAAAASUVORK5CYII=" style="vertical-align: top;padding-top: 2px;padding-right: 5px;"/> <a class="zoom" href="downloadClient.action?clientType=PublisherClient" > <img src="${pageContext.request.contextPath}/resources/images/PublisherClient.png" width="60" alt="出版管理客户端" title="出版管理客户端"> </a> <a class="zoom" href="downloadClient.action?clientType=TypeSettingClient" > <img src="${pageContext.request.contextPath}/resources/images/TypeSettingClient.png" width="60" alt="排版客户端" title="排版客户端"> </a> <a class="zoom" href="downloadClient.action?clientType=PrinterClient" > <img src="${pageContext.request.contextPath}/resources/images/PrinterClient.png" width="60" alt="印厂客户端" title="印厂客户端"> </a> <img src="data:image/png;base64,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" style="vertical-align: top;padding-left: 10px;"/> <a class="zoom" href="downloadClient.action?clientType=PublisherClientMAC" > <img src="${pageContext.request.contextPath}/resources/images/PublisherClient.png" width="60" alt="出版管理客户端（MAC版）" title="出版管理客户端（MAC版）"> </a> <a class="zoom" href="downloadClient.action?clientType=TypeSettingClientMAC" > <img src="${pageContext.request.contextPath}/resources/images/TypeSettingClient.png" width="60" alt="排版客户端（MAC版）" title="排版客户端（MAC版）"> </a> </div> </div> <div class="form-actions h-center"> <button type="submit" class="btn green " id="btnLogin" name="btnLogin"> 登录 </button> </div> </form> <!-- END LOGIN FORM --> <input id="publicKeyExponent" value="" type="hidden"> <%-- 后台传过来的公钥 --%> <input id="publicKeyModulus" value="" type="hidden"> <%-- 后台传过来的模 --%> </div> <!-- END LOGIN -->
ajax请求
var Login = function () { return { init: function () { $('.login-form').validate({ errorElement: 'label', //default input error message container errorClass: 'help-inline', // default input error message class focusInvalid: false, // do not focus the last invalid input rules: { username: { required: true }, password: { required: true }, remember: { required: false } }, messages: { username: { required: "请输入用户名" }, password: { required: "请输入密码" } }, invalidHandler: function (event, validator) { //display error alert on form submit $(".login-form .alert-error #errorMsg").text('用户名或密码为空'); $('.alert-error', $('.login-form')).show(); }, highlight: function (element) { // hightlight error inputs $(element) .closest('.control-group').addClass('error'); // set error class to the control group }, success: function (label) { label.closest('.control-group').removeClass('error'); label.remove(); }, errorPlacement: function (error, element) { // error.addClass('help-small no-left-padding').appendTo(element.closest('.input-icon')); }, submitHandler: function (form) { var btn=$('#btnLogin'); var username = $.trim($("#username").val()); var password = $.trim($("#pwd").val()); btn.attr('disabled','disabled').html('正在登录...'); var obj=this; $.ajax({ url: "/PodCloud/loginRSA.action", type:"POST", dataType:'json', error:function(XMLHttpRequest, textStatus, errorThrown){ console.log(XMLHttpRequest.status); console.log(XMLHttpRequest.readyState); console.log(textStatus); }, success: function(data) { if(data.code==0) { $("#publicKeyExponent").val(data.data[0]); $("#publicKeyModulus").val(data.data[1]); //RSA加密 var publicKeyExponent=$("#publicKeyExponent").val(); var publicKeyModulus=$("#publicKeyModulus").val(); RSAUtils.setMaxDigits(200); var key = new RSAUtils.getKeyPair(publicKeyExponent, "", publicKeyModulus); var userNameEncrypt = RSAUtils.encryptedString(key,username.split("").reverse().join("")); //用户名加密 var userPwdEncrypt= RSAUtils.encryptedString(key,password.split("").reverse().join("")); //密码加密 var userNamePwdHashcode = hex_sha1(username+password); //用户名和密码 计算哈希值 $.ajax({ url: "/PodCloud/login.action", type:"POST", dataType:'json', data:{"username":userNameEncrypt,"pwd":userPwdEncrypt,"userNamePwdHashcode":userNamePwdHashcode,"autoLogin":$('.form-actions :checked').length>0}, cache: false, error:function(XMLHttpRequest, textStatus, errorThrown){ console.log(XMLHttpRequest.status); console.log(XMLHttpRequest.readyState); console.log(textStatus); }, success: function(data) { //btn.removeAttr('disabled').html('登录 <i class="m-icon-swapright m-icon-white"></i>'); if(data.code==0) { var redirect=$('#hdRedirectUrl').val(); redirect?location.href=decodeURIComponent(redirect):location.href="/PodCloud/home.action"; } else { $('.alert-error', $('.login-form')).show().find('span').text(data.message); } } }); } else { $('.alert-error', $('.login-form')).show().find('span').text("获取密钥失败！"); } } }); } }); } }; }();
后台生成秘钥controller
//生成登陆用的RSA公钥 密钥 @RequestMapping(value="/loginRSA",method=RequestMethod.POST) @ResponseBody public AjaxResponse<List<String>> loginRSA(HttpServletRequest request,HttpServletResponse response){ String publicKeyExponent=""; String publicKeyModulus=""; try { HashMap<String, Object> map = RSAUtils.getKeys(); //生成公钥和私钥 RSAPublicKey publicKey = (RSAPublicKey) map.get("public"); RSAPrivateKey privateKey = (RSAPrivateKey) map.get("private"); //私钥保存在session中，用于解密 request.getSession().setAttribute("privateKeyLogin", privateKey); //公钥信息保存在页面，用于加密 公钥指数 publicKeyExponent = publicKey.getPublicExponent().toString(16); //此处toString中的16按实际情况增加 System.out.println("公钥指数:"+publicKeyExponent); //模 publicKeyModulus = publicKey.getModulus().toString(16); //此处toString中的16按实际情况增加 System.out.println("公钥模:"+publicKeyModulus); // request.getSession().setAttribute("publicKeyExponent", publicKeyExponent); //request.getSession().setAttribute("publicKeyModulus", publicKeyModulus); } catch (Exception e) { log.debug("RSA生成公钥错误",e); } List<String> list=new ArrayList<String>(); list.add(publicKeyExponent); list.add(publicKeyModulus); if(list!=null&&list.size()>0){ return AjaxResponse.success(list); }else{ return AjaxResponse.fail(-1,"获取密钥失败！"); } }
后台验证登录controller
@RequestMapping(value="/login",method=RequestMethod.POST) @ResponseBody public AjaxResponse<String> login( @RequestParam(value="username",required=false) String username, @RequestParam(value="pwd",required=false) String password, @RequestParam(value="userNamePwdHashcode",required=false) String userNamePwdHashcode, @RequestParam(value="autoLogin",required=false) Boolean autoLogin, HttpServletRequest request, HttpServletResponse response) { log.debug("username："+username+"；password："+password); int clientType = ClinetType.Web.getTypeValue();//WEB client =0 try { //私钥解密 RSAPrivateKey privateKey = (RSAPrivateKey) request.getSession().getAttribute("privateKeyLogin"); username = RSAUtils.decryptByPrivateKey(username, privateKey); password=RSAUtils.decryptByPrivateKey(password, privateKey); String userNameAndPwdHashcode = SHA1Utils.getSHA1Digest(username+password).toLowerCase(); if(!userNameAndPwdHashcode.equals(userNamePwdHashcode)){ return AjaxResponse.fail(-8, "数据可能被篡改，拒绝登陆！"); } // username = AesUtil.aesDecrypt(username); //后台解密 // password = AesUtil.aesDecrypt(password); //后台解密 } catch (Exception e) { log.debug("RSA解密失败",e); } AjaxResponse<String> reg = loginlogoutSrv.saveLogin(request, response, "", false, username, password, autoLogin,false,clientType); log.debug("WEB登陆service调用完毕"); return reg; }
附件security.js
(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); }; } 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);
附件sha1.js
/* * A JavaScript implementation of the Secure Hash Algorithm, SHA-1, as defined * in FIPS PUB 180-1 * Version 2.1a Copyright Paul Johnston 2000 - 2002. * Other contributors: Greg Holt, Andrew Kepert, Ydnar, Lostinet * Distributed under the BSD License * See http://pajhome.org.uk/crypt/md5 for details. */ /* * Configurable variables. You may need to tweak these to be compatible with * the server-side, but the defaults work in most cases. */ var hexcase = 0; /* hex output format. 0 - lowercase; 1 - uppercase */ var b64pad = ""; /* base-64 pad character. "=" for strict RFC compliance */ var chrsz = 8; /* bits per input character. 8 - ASCII; 16 - Unicode */ /* * These are the functions you'll usually want to call * They take string arguments and return either hex or base-64 encoded strings */ function hex_sha1(s){return binb2hex(core_sha1(str2binb(s),s.length * chrsz));} function b64_sha1(s){return binb2b64(core_sha1(str2binb(s),s.length * chrsz));} function str_sha1(s){return binb2str(core_sha1(str2binb(s),s.length * chrsz));} function hex_hmac_sha1(key, data){ return binb2hex(core_hmac_sha1(key, data));} function b64_hmac_sha1(key, data){ return binb2b64(core_hmac_sha1(key, data));} function str_hmac_sha1(key, data){ return binb2str(core_hmac_sha1(key, data));} /* * Perform a simple self-test to see if the VM is working */ function sha1_vm_test() { return hex_sha1("abc") == "a9993e364706816aba3e25717850c26c9cd0d89d"; } /* * Calculate the SHA-1 of an array of big-endian words, and a bit length */ function core_sha1(x, len) { /* append padding */ x[len >> 5] |= 0x80 << (24 - len % 32); x[((len + 64 >> 9) << 4) + 15] = len; var w = Array(80); var a = 1732584193; var b = -271733879; var c = -1732584194; var d = 271733878; var e = -1009589776; for(var i = 0; i < x.length; i += 16) { var olda = a; var oldb = b; var oldc = c; var oldd = d; var olde = e; for(var j = 0; j < 80; j++) { if(j < 16) w[j] = x[i + j]; else w[j] = rol(w[j-3] ^ w[j-8] ^ w[j-14] ^ w[j-16], 1); var t = safe_add(safe_add(rol(a, 5), sha1_ft(j, b, c, d)), safe_add(safe_add(e, w[j]), sha1_kt(j))); e = d; d = c; c = rol(b, 30); b = a; a = t; } a = safe_add(a, olda); b = safe_add(b, oldb); c = safe_add(c, oldc); d = safe_add(d, oldd); e = safe_add(e, olde); } return Array(a, b, c, d, e); } /* * Perform the appropriate triplet combination function for the current * iteration */ function sha1_ft(t, b, c, d) { if(t < 20) return (b & c) | ((~b) & d); if(t < 40) return b ^ c ^ d; if(t < 60) return (b & c) | (b & d) | (c & d); return b ^ c ^ d; } /* * Determine the appropriate additive constant for the current iteration */ function sha1_kt(t) { return (t < 20) ? 1518500249 : (t < 40) ? 1859775393 : (t < 60) ? -1894007588 : -899497514; } /* * Calculate the HMAC-SHA1 of a key and some data */ function core_hmac_sha1(key, data) { var bkey = str2binb(key); if(bkey.length > 16) bkey = core_sha1(bkey, key.length * chrsz); var ipad = Array(16), opad = Array(16); for(var i = 0; i < 16; i++) { ipad[i] = bkey[i] ^ 0x36363636; opad[i] = bkey[i] ^ 0x5C5C5C5C; } var hash = core_sha1(ipad.concat(str2binb(data)), 512 + data.length * chrsz); return core_sha1(opad.concat(hash), 512 + 160); } /* * Add integers, wrapping at 2^32. This uses 16-bit operations internally * to work around bugs in some JS interpreters. */ function safe_add(x, y) { var lsw = (x & 0xFFFF) + (y & 0xFFFF); var msw = (x >> 16) + (y >> 16) + (lsw >> 16); return (msw << 16) | (lsw & 0xFFFF); } /* * Bitwise rotate a 32-bit number to the left. */ function rol(num, cnt) { return (num << cnt) | (num >>> (32 - cnt)); } /* * Convert an 8-bit or 16-bit string to an array of big-endian words * In 8-bit function, characters >255 have their hi-byte silently ignored. */ function str2binb(str) { var bin = Array(); var mask = (1 << chrsz) - 1; for(var i = 0; i < str.length * chrsz; i += chrsz) bin[i>>5] |= (str.charCodeAt(i / chrsz) & mask) << (32 - chrsz - i%32); return bin; } /* * Convert an array of big-endian words to a string */ function binb2str(bin) { var str = ""; var mask = (1 << chrsz) - 1; for(var i = 0; i < bin.length * 32; i += chrsz) str += String.fromCharCode((bin[i>>5] >>> (32 - chrsz - i%32)) & mask); return str; } /* * Convert an array of big-endian words to a hex string. */ function binb2hex(binarray) { var hex_tab = hexcase ? "0123456789ABCDEF" : "0123456789abcdef"; var str = ""; for(var i = 0; i < binarray.length * 4; i++) { str += hex_tab.charAt((binarray[i>>2] >> ((3 - i%4)*8+4)) & 0xF) + hex_tab.charAt((binarray[i>>2] >> ((3 - i%4)*8 )) & 0xF); } return str; } /* * Convert an array of big-endian words to a base-64 string */ function binb2b64(binarray) { var tab = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; var str = ""; for(var i = 0; i < binarray.length * 4; i += 3) { var triplet = (((binarray[i >> 2] >> 8 * (3 - i %4)) & 0xFF) << 16) | (((binarray[i+1 >> 2] >> 8 * (3 - (i+1)%4)) & 0xFF) << 8 ) | ((binarray[i+2 >> 2] >> 8 * (3 - (i+2)%4)) & 0xFF); for(var j = 0; j < 4; j++) { if(i * 8 + j * 6 > binarray.length * 32) str += b64pad; else str += tab.charAt((triplet >> 6*(3-j)) & 0x3F); } } return str; }
