• RSA前台加密后台解密的应用


    写在前面

    项目安全测试需要将登录功能修改, AES加密不符合要求, 现改为RSA非对称加密.(将登录密码加密后传给后台, 后台解密后再进行一系列的校验) .期间遇到了前台js加密但是后台解密失败的问题https://www.cnblogs.com/yadongliang/p/11638995.html, 下面是看了另一篇博客后正常加解密的步骤及关键代码.

    步骤及关键代码

    0.pom.xml

    <!--RSA-->
    <!-- https://mvnrepository.com/artifact/org.bouncycastle/bcprov-jdk15on -->
    <dependency>
        <groupId>org.bouncycastle</groupId>
        <artifactId>bcprov-jdk15on</artifactId>
        <version>1.63</version>
    </dependency>
    
    <!--lang3-->
    <!-- https://mvnrepository.com/artifact/org.apache.commons/commons-lang3 -->
    <dependency>
        <groupId>org.apache.commons</groupId>
        <artifactId>commons-lang3</artifactId>
        <version>3.9</version>
    </dependency>

    1.rsasecurity.js

      1 (function ($w) {
      2 
      3     if (typeof $w.RSAUtils === 'undefined')
      4         var RSAUtils = $w.RSAUtils = {};
      5 
      6     var biRadixBase = 2;
      7     var biRadixBits = 16;
      8     var bitsPerDigit = biRadixBits;
      9     var biRadix = 1 << 16;
     10     var biHalfRadix = biRadix >>> 1;
     11     var biRadixSquared = biRadix * biRadix;
     12     var maxDigitVal = biRadix - 1;
     13     var maxInteger = 9999999999999998;
     14 
     15 
     16     var maxDigits;
     17     var ZERO_ARRAY;
     18     var bigZero, bigOne;
     19 
     20     var BigInt = $w.BigInt = function (flag) {
     21         if (typeof flag == "boolean" && flag == true) {
     22             this.digits = null;
     23         } else {
     24             this.digits = ZERO_ARRAY.slice(0);
     25         }
     26         this.isNeg = false;
     27     };
     28 
     29     RSAUtils.setMaxDigits = function (value) {
     30         maxDigits = value;
     31         ZERO_ARRAY = new Array(maxDigits);
     32         for (var iza = 0; iza < ZERO_ARRAY.length; iza++) ZERO_ARRAY[iza] = 0;
     33         bigZero = new BigInt();
     34         bigOne = new BigInt();
     35         bigOne.digits[0] = 1;
     36     };
     37     RSAUtils.setMaxDigits(20);
     38 
     39 
     40     var dpl10 = 15;
     41 
     42     RSAUtils.biFromNumber = function (i) {
     43         var result = new BigInt();
     44         result.isNeg = i < 0;
     45         i = Math.abs(i);
     46         var j = 0;
     47         while (i > 0) {
     48             result.digits[j++] = i & maxDigitVal;
     49             i = Math.floor(i / biRadix);
     50         }
     51         return result;
     52     };
     53 
     54 
     55     var lr10 = RSAUtils.biFromNumber(1000000000000000);
     56 
     57     RSAUtils.biFromDecimal = function (s) {
     58         var isNeg = s.charAt(0) == '-';
     59         var i = isNeg ? 1 : 0;
     60         var result;
     61 
     62         while (i < s.length && s.charAt(i) == '0') ++i;
     63         if (i == s.length) {
     64             result = new BigInt();
     65         } else {
     66             var digitCount = s.length - i;
     67             var fgl = digitCount % dpl10;
     68             if (fgl == 0) fgl = dpl10;
     69             result = RSAUtils.biFromNumber(Number(s.substr(i, fgl)));
     70             i += fgl;
     71             while (i < s.length) {
     72                 result = RSAUtils.biAdd(RSAUtils.biMultiply(result, lr10),
     73                     RSAUtils.biFromNumber(Number(s.substr(i, dpl10))));
     74                 i += dpl10;
     75             }
     76             result.isNeg = isNeg;
     77         }
     78         return result;
     79     };
     80 
     81     RSAUtils.biCopy = function (bi) {
     82         var result = new BigInt(true);
     83         result.digits = bi.digits.slice(0);
     84         result.isNeg = bi.isNeg;
     85         return result;
     86     };
     87 
     88     RSAUtils.reverseStr = function (s) {
     89         var result = "";
     90         for (var i = s.length - 1; i > -1; --i) {
     91             result += s.charAt(i);
     92         }
     93         return result;
     94     };
     95 
     96     var hexatrigesimalToChar = [
     97         '0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
     98         'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j',
     99         'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't',
    100         'u', 'v', 'w', 'x', 'y', 'z'
    101     ];
    102 
    103     RSAUtils.biToString = function (x, radix) {
    104         var b = new BigInt();
    105         b.digits[0] = radix;
    106         var qr = RSAUtils.biDivideModulo(x, b);
    107         var result = hexatrigesimalToChar[qr[1].digits[0]];
    108         while (RSAUtils.biCompare(qr[0], bigZero) == 1) {
    109             qr = RSAUtils.biDivideModulo(qr[0], b);
    110             digit = qr[1].digits[0];
    111             result += hexatrigesimalToChar[qr[1].digits[0]];
    112         }
    113         return (x.isNeg ? "-" : "") + RSAUtils.reverseStr(result);
    114     };
    115 
    116     RSAUtils.biToDecimal = function (x) {
    117         var b = new BigInt();
    118         b.digits[0] = 10;
    119         var qr = RSAUtils.biDivideModulo(x, b);
    120         var result = String(qr[1].digits[0]);
    121         while (RSAUtils.biCompare(qr[0], bigZero) == 1) {
    122             qr = RSAUtils.biDivideModulo(qr[0], b);
    123             result += String(qr[1].digits[0]);
    124         }
    125         return (x.isNeg ? "-" : "") + RSAUtils.reverseStr(result);
    126     };
    127 
    128     var hexToChar = ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
    129         'a', 'b', 'c', 'd', 'e', 'f'];
    130 
    131     RSAUtils.digitToHex = function (n) {
    132         var mask = 0xf;
    133         var result = "";
    134         for (i = 0; i < 4; ++i) {
    135             result += hexToChar[n & mask];
    136             n >>>= 4;
    137         }
    138         return RSAUtils.reverseStr(result);
    139     };
    140 
    141     RSAUtils.biToHex = function (x) {
    142         var result = "";
    143         var n = RSAUtils.biHighIndex(x);
    144         for (var i = RSAUtils.biHighIndex(x); i > -1; --i) {
    145             result += RSAUtils.digitToHex(x.digits[i]);
    146         }
    147         return result;
    148     };
    149 
    150     RSAUtils.charToHex = function (c) {
    151         var ZERO = 48;
    152         var NINE = ZERO + 9;
    153         var littleA = 97;
    154         var littleZ = littleA + 25;
    155         var bigA = 65;
    156         var bigZ = 65 + 25;
    157         var result;
    158 
    159         if (c >= ZERO && c <= NINE) {
    160             result = c - ZERO;
    161         } else if (c >= bigA && c <= bigZ) {
    162             result = 10 + c - bigA;
    163         } else if (c >= littleA && c <= littleZ) {
    164             result = 10 + c - littleA;
    165         } else {
    166             result = 0;
    167         }
    168         return result;
    169     };
    170 
    171     RSAUtils.hexToDigit = function (s) {
    172         var result = 0;
    173         var sl = Math.min(s.length, 4);
    174         for (var i = 0; i < sl; ++i) {
    175             result <<= 4;
    176             result |= RSAUtils.charToHex(s.charCodeAt(i));
    177         }
    178         return result;
    179     };
    180 
    181     RSAUtils.biFromHex = function (s) {
    182         var result = new BigInt();
    183         var sl = s.length;
    184         for (var i = sl, j = 0; i > 0; i -= 4, ++j) {
    185             result.digits[j] = RSAUtils.hexToDigit(s.substr(Math.max(i - 4, 0), Math.min(i, 4)));
    186         }
    187         return result;
    188     };
    189 
    190     RSAUtils.biFromString = function (s, radix) {
    191         var isNeg = s.charAt(0) == '-';
    192         var istop = isNeg ? 1 : 0;
    193         var result = new BigInt();
    194         var place = new BigInt();
    195         place.digits[0] = 1;
    196         for (var i = s.length - 1; i >= istop; i--) {
    197             var c = s.charCodeAt(i);
    198             var digit = RSAUtils.charToHex(c);
    199             var biDigit = RSAUtils.biMultiplyDigit(place, digit);
    200             result = RSAUtils.biAdd(result, biDigit);
    201             place = RSAUtils.biMultiplyDigit(place, radix);
    202         }
    203         result.isNeg = isNeg;
    204         return result;
    205     };
    206 
    207     RSAUtils.biDump = function (b) {
    208         return (b.isNeg ? "-" : "") + b.digits.join(" ");
    209     };
    210 
    211     RSAUtils.biAdd = function (x, y) {
    212         var result;
    213 
    214         if (x.isNeg != y.isNeg) {
    215             y.isNeg = !y.isNeg;
    216             result = RSAUtils.biSubtract(x, y);
    217             y.isNeg = !y.isNeg;
    218         } else {
    219             result = new BigInt();
    220             var c = 0;
    221             var n;
    222             for (var i = 0; i < x.digits.length; ++i) {
    223                 n = x.digits[i] + y.digits[i] + c;
    224                 result.digits[i] = n % biRadix;
    225                 c = Number(n >= biRadix);
    226             }
    227             result.isNeg = x.isNeg;
    228         }
    229         return result;
    230     };
    231 
    232     RSAUtils.biSubtract = function (x, y) {
    233         var result;
    234         if (x.isNeg != y.isNeg) {
    235             y.isNeg = !y.isNeg;
    236             result = RSAUtils.biAdd(x, y);
    237             y.isNeg = !y.isNeg;
    238         } else {
    239             result = new BigInt();
    240             var n, c;
    241             c = 0;
    242             for (var i = 0; i < x.digits.length; ++i) {
    243                 n = x.digits[i] - y.digits[i] + c;
    244                 result.digits[i] = n % biRadix;
    245 
    246                 if (result.digits[i] < 0) result.digits[i] += biRadix;
    247                 c = 0 - Number(n < 0);
    248             }
    249 
    250             if (c == -1) {
    251                 c = 0;
    252                 for (var i = 0; i < x.digits.length; ++i) {
    253                     n = 0 - result.digits[i] + c;
    254                     result.digits[i] = n % biRadix;
    255 
    256                     if (result.digits[i] < 0) result.digits[i] += biRadix;
    257                     c = 0 - Number(n < 0);
    258                 }
    259 
    260                 result.isNeg = !x.isNeg;
    261             } else {
    262 
    263                 result.isNeg = x.isNeg;
    264             }
    265         }
    266         return result;
    267     };
    268 
    269     RSAUtils.biHighIndex = function (x) {
    270         var result = x.digits.length - 1;
    271         while (result > 0 && x.digits[result] == 0) --result;
    272         return result;
    273     };
    274 
    275     RSAUtils.biNumBits = function (x) {
    276         var n = RSAUtils.biHighIndex(x);
    277         var d = x.digits[n];
    278         var m = (n + 1) * bitsPerDigit;
    279         var result;
    280         for (result = m; result > m - bitsPerDigit; --result) {
    281             if ((d & 0x8000) != 0) break;
    282             d <<= 1;
    283         }
    284         return result;
    285     };
    286 
    287     RSAUtils.biMultiply = function (x, y) {
    288         var result = new BigInt();
    289         var c;
    290         var n = RSAUtils.biHighIndex(x);
    291         var t = RSAUtils.biHighIndex(y);
    292         var u, uv, k;
    293 
    294         for (var i = 0; i <= t; ++i) {
    295             c = 0;
    296             k = i;
    297             for (j = 0; j <= n; ++j, ++k) {
    298                 uv = result.digits[k] + x.digits[j] * y.digits[i] + c;
    299                 result.digits[k] = uv & maxDigitVal;
    300                 c = uv >>> biRadixBits;
    301 
    302             }
    303             result.digits[i + n + 1] = c;
    304         }
    305 
    306         result.isNeg = x.isNeg != y.isNeg;
    307         return result;
    308     };
    309 
    310     RSAUtils.biMultiplyDigit = function (x, y) {
    311         var n, c, uv;
    312 
    313         result = new BigInt();
    314         n = RSAUtils.biHighIndex(x);
    315         c = 0;
    316         for (var j = 0; j <= n; ++j) {
    317             uv = result.digits[j] + x.digits[j] * y + c;
    318             result.digits[j] = uv & maxDigitVal;
    319             c = uv >>> biRadixBits;
    320 
    321         }
    322         result.digits[1 + n] = c;
    323         return result;
    324     };
    325 
    326     RSAUtils.arrayCopy = function (src, srcStart, dest, destStart, n) {
    327         var m = Math.min(srcStart + n, src.length);
    328         for (var i = srcStart, j = destStart; i < m; ++i, ++j) {
    329             dest[j] = src[i];
    330         }
    331     };
    332 
    333     var highBitMasks = [0x0000, 0x8000, 0xC000, 0xE000, 0xF000, 0xF800,
    334         0xFC00, 0xFE00, 0xFF00, 0xFF80, 0xFFC0, 0xFFE0,
    335         0xFFF0, 0xFFF8, 0xFFFC, 0xFFFE, 0xFFFF];
    336 
    337     RSAUtils.biShiftLeft = function (x, n) {
    338         var digitCount = Math.floor(n / bitsPerDigit);
    339         var result = new BigInt();
    340         RSAUtils.arrayCopy(x.digits, 0, result.digits, digitCount,
    341             result.digits.length - digitCount);
    342         var bits = n % bitsPerDigit;
    343         var rightBits = bitsPerDigit - bits;
    344         for (var i = result.digits.length - 1, i1 = i - 1; i > 0; --i, --i1) {
    345             result.digits[i] = ((result.digits[i] << bits) & maxDigitVal) |
    346                 ((result.digits[i1] & highBitMasks[bits]) >>>
    347                     (rightBits));
    348         }
    349         result.digits[0] = ((result.digits[i] << bits) & maxDigitVal);
    350         result.isNeg = x.isNeg;
    351         return result;
    352     };
    353 
    354     var lowBitMasks = [0x0000, 0x0001, 0x0003, 0x0007, 0x000F, 0x001F,
    355         0x003F, 0x007F, 0x00FF, 0x01FF, 0x03FF, 0x07FF,
    356         0x0FFF, 0x1FFF, 0x3FFF, 0x7FFF, 0xFFFF];
    357 
    358     RSAUtils.biShiftRight = function (x, n) {
    359         var digitCount = Math.floor(n / bitsPerDigit);
    360         var result = new BigInt();
    361         RSAUtils.arrayCopy(x.digits, digitCount, result.digits, 0,
    362             x.digits.length - digitCount);
    363         var bits = n % bitsPerDigit;
    364         var leftBits = bitsPerDigit - bits;
    365         for (var i = 0, i1 = i + 1; i < result.digits.length - 1; ++i, ++i1) {
    366             result.digits[i] = (result.digits[i] >>> bits) |
    367                 ((result.digits[i1] & lowBitMasks[bits]) << leftBits);
    368         }
    369         result.digits[result.digits.length - 1] >>>= bits;
    370         result.isNeg = x.isNeg;
    371         return result;
    372     };
    373 
    374     RSAUtils.biMultiplyByRadixPower = function (x, n) {
    375         var result = new BigInt();
    376         RSAUtils.arrayCopy(x.digits, 0, result.digits, n, result.digits.length - n);
    377         return result;
    378     };
    379 
    380     RSAUtils.biDivideByRadixPower = function (x, n) {
    381         var result = new BigInt();
    382         RSAUtils.arrayCopy(x.digits, n, result.digits, 0, result.digits.length - n);
    383         return result;
    384     };
    385 
    386     RSAUtils.biModuloByRadixPower = function (x, n) {
    387         var result = new BigInt();
    388         RSAUtils.arrayCopy(x.digits, 0, result.digits, 0, n);
    389         return result;
    390     };
    391 
    392     RSAUtils.biCompare = function (x, y) {
    393         if (x.isNeg != y.isNeg) {
    394             return 1 - 2 * Number(x.isNeg);
    395         }
    396         for (var i = x.digits.length - 1; i >= 0; --i) {
    397             if (x.digits[i] != y.digits[i]) {
    398                 if (x.isNeg) {
    399                     return 1 - 2 * Number(x.digits[i] > y.digits[i]);
    400                 } else {
    401                     return 1 - 2 * Number(x.digits[i] < y.digits[i]);
    402                 }
    403             }
    404         }
    405         return 0;
    406     };
    407 
    408     RSAUtils.biDivideModulo = function (x, y) {
    409         var nb = RSAUtils.biNumBits(x);
    410         var tb = RSAUtils.biNumBits(y);
    411         var origYIsNeg = y.isNeg;
    412         var q, r;
    413         if (nb < tb) {
    414 
    415             if (x.isNeg) {
    416                 q = RSAUtils.biCopy(bigOne);
    417                 q.isNeg = !y.isNeg;
    418                 x.isNeg = false;
    419                 y.isNeg = false;
    420                 r = biSubtract(y, x);
    421 
    422                 x.isNeg = true;
    423                 y.isNeg = origYIsNeg;
    424             } else {
    425                 q = new BigInt();
    426                 r = RSAUtils.biCopy(x);
    427             }
    428             return [q, r];
    429         }
    430 
    431         q = new BigInt();
    432         r = x;
    433 
    434 
    435         var t = Math.ceil(tb / bitsPerDigit) - 1;
    436         var lambda = 0;
    437         while (y.digits[t] < biHalfRadix) {
    438             y = RSAUtils.biShiftLeft(y, 1);
    439             ++lambda;
    440             ++tb;
    441             t = Math.ceil(tb / bitsPerDigit) - 1;
    442         }
    443 
    444 
    445         r = RSAUtils.biShiftLeft(r, lambda);
    446         nb += lambda;
    447         var n = Math.ceil(nb / bitsPerDigit) - 1;
    448 
    449         var b = RSAUtils.biMultiplyByRadixPower(y, n - t);
    450         while (RSAUtils.biCompare(r, b) != -1) {
    451             ++q.digits[n - t];
    452             r = RSAUtils.biSubtract(r, b);
    453         }
    454         for (var i = n; i > t; --i) {
    455             var ri = (i >= r.digits.length) ? 0 : r.digits[i];
    456             var ri1 = (i - 1 >= r.digits.length) ? 0 : r.digits[i - 1];
    457             var ri2 = (i - 2 >= r.digits.length) ? 0 : r.digits[i - 2];
    458             var yt = (t >= y.digits.length) ? 0 : y.digits[t];
    459             var yt1 = (t - 1 >= y.digits.length) ? 0 : y.digits[t - 1];
    460             if (ri == yt) {
    461                 q.digits[i - t - 1] = maxDigitVal;
    462             } else {
    463                 q.digits[i - t - 1] = Math.floor((ri * biRadix + ri1) / yt);
    464             }
    465 
    466             var c1 = q.digits[i - t - 1] * ((yt * biRadix) + yt1);
    467             var c2 = (ri * biRadixSquared) + ((ri1 * biRadix) + ri2);
    468             while (c1 > c2) {
    469                 --q.digits[i - t - 1];
    470                 c1 = q.digits[i - t - 1] * ((yt * biRadix) | yt1);
    471                 c2 = (ri * biRadix * biRadix) + ((ri1 * biRadix) + ri2);
    472             }
    473 
    474             b = RSAUtils.biMultiplyByRadixPower(y, i - t - 1);
    475             r = RSAUtils.biSubtract(r, RSAUtils.biMultiplyDigit(b, q.digits[i - t - 1]));
    476             if (r.isNeg) {
    477                 r = RSAUtils.biAdd(r, b);
    478                 --q.digits[i - t - 1];
    479             }
    480         }
    481         r = RSAUtils.biShiftRight(r, lambda);
    482 
    483         q.isNeg = x.isNeg != origYIsNeg;
    484         if (x.isNeg) {
    485             if (origYIsNeg) {
    486                 q = RSAUtils.biAdd(q, bigOne);
    487             } else {
    488                 q = RSAUtils.biSubtract(q, bigOne);
    489             }
    490             y = RSAUtils.biShiftRight(y, lambda);
    491             r = RSAUtils.biSubtract(y, r);
    492         }
    493 
    494         if (r.digits[0] == 0 && RSAUtils.biHighIndex(r) == 0) r.isNeg = false;
    495 
    496         return [q, r];
    497     };
    498 
    499     RSAUtils.biDivide = function (x, y) {
    500         return RSAUtils.biDivideModulo(x, y)[0];
    501     };
    502 
    503     RSAUtils.biModulo = function (x, y) {
    504         return RSAUtils.biDivideModulo(x, y)[1];
    505     };
    506 
    507     RSAUtils.biMultiplyMod = function (x, y, m) {
    508         return RSAUtils.biModulo(RSAUtils.biMultiply(x, y), m);
    509     };
    510 
    511     RSAUtils.biPow = function (x, y) {
    512         var result = bigOne;
    513         var a = x;
    514         while (true) {
    515             if ((y & 1) != 0) result = RSAUtils.biMultiply(result, a);
    516             y >>= 1;
    517             if (y == 0) break;
    518             a = RSAUtils.biMultiply(a, a);
    519         }
    520         return result;
    521     };
    522 
    523     RSAUtils.biPowMod = function (x, y, m) {
    524         var result = bigOne;
    525         var a = x;
    526         var k = y;
    527         while (true) {
    528             if ((k.digits[0] & 1) != 0) result = RSAUtils.biMultiplyMod(result, a, m);
    529             k = RSAUtils.biShiftRight(k, 1);
    530             if (k.digits[0] == 0 && RSAUtils.biHighIndex(k) == 0) break;
    531             a = RSAUtils.biMultiplyMod(a, a, m);
    532         }
    533         return result;
    534     };
    535 
    536 
    537     $w.BarrettMu = function (m) {
    538         this.modulus = RSAUtils.biCopy(m);
    539         this.k = RSAUtils.biHighIndex(this.modulus) + 1;
    540         var b2k = new BigInt();
    541         b2k.digits[2 * this.k] = 1;
    542         this.mu = RSAUtils.biDivide(b2k, this.modulus);
    543         this.bkplus1 = new BigInt();
    544         this.bkplus1.digits[this.k + 1] = 1;
    545         this.modulo = BarrettMu_modulo;
    546         this.multiplyMod = BarrettMu_multiplyMod;
    547         this.powMod = BarrettMu_powMod;
    548     };
    549 
    550     function BarrettMu_modulo(x) {
    551         var $dmath = RSAUtils;
    552         var q1 = $dmath.biDivideByRadixPower(x, this.k - 1);
    553         var q2 = $dmath.biMultiply(q1, this.mu);
    554         var q3 = $dmath.biDivideByRadixPower(q2, this.k + 1);
    555         var r1 = $dmath.biModuloByRadixPower(x, this.k + 1);
    556         var r2term = $dmath.biMultiply(q3, this.modulus);
    557         var r2 = $dmath.biModuloByRadixPower(r2term, this.k + 1);
    558         var r = $dmath.biSubtract(r1, r2);
    559         if (r.isNeg) {
    560             r = $dmath.biAdd(r, this.bkplus1);
    561         }
    562         var rgtem = $dmath.biCompare(r, this.modulus) >= 0;
    563         while (rgtem) {
    564             r = $dmath.biSubtract(r, this.modulus);
    565             rgtem = $dmath.biCompare(r, this.modulus) >= 0;
    566         }
    567         return r;
    568     }
    569 
    570     function BarrettMu_multiplyMod(x, y) {
    571 
    572         var xy = RSAUtils.biMultiply(x, y);
    573         return this.modulo(xy);
    574     }
    575 
    576     function BarrettMu_powMod(x, y) {
    577         var result = new BigInt();
    578         result.digits[0] = 1;
    579         var a = x;
    580         var k = y;
    581         while (true) {
    582             if ((k.digits[0] & 1) != 0) result = this.multiplyMod(result, a);
    583             k = RSAUtils.biShiftRight(k, 1);
    584             if (k.digits[0] == 0 && RSAUtils.biHighIndex(k) == 0) break;
    585             a = this.multiplyMod(a, a);
    586         }
    587         return result;
    588     }
    589 
    590     var RSAKeyPair = function (encryptionExponent, decryptionExponent, modulus) {
    591         var $dmath = RSAUtils;
    592         this.e = $dmath.biFromHex(encryptionExponent);
    593         this.d = $dmath.biFromHex(decryptionExponent);
    594         this.m = $dmath.biFromHex(modulus);
    595 
    596 
    597         this.chunkSize = 2 * $dmath.biHighIndex(this.m);
    598         this.radix = 16;
    599         this.barrett = new $w.BarrettMu(this.m);
    600     };
    601 
    602     RSAUtils.getKeyPair = function (encryptionExponent, decryptionExponent, modulus) {
    603         return new RSAKeyPair(encryptionExponent, decryptionExponent, modulus);
    604     };
    605 
    606     if (typeof $w.twoDigit === 'undefined') {
    607         $w.twoDigit = function (n) {
    608             return (n < 10 ? "0" : "") + String(n);
    609         };
    610     }
    611 
    612 
    613     RSAUtils.encryptedString = function (key, s) {
    614         var a = [];
    615         var sl = s.length;
    616         var i = 0;
    617         while (i < sl) {
    618             a[i] = s.charCodeAt(i);
    619             i++;
    620         }
    621 
    622         while (a.length % key.chunkSize != 0) {
    623             a[i++] = 0;
    624         }
    625 
    626         var al = a.length;
    627         var result = "";
    628         var j, k, block;
    629         for (i = 0; i < al; i += key.chunkSize) {
    630             block = new BigInt();
    631             j = 0;
    632             for (k = i; k < i + key.chunkSize; ++j) {
    633                 block.digits[j] = a[k++];
    634                 block.digits[j] += a[k++] << 8;
    635             }
    636             var crypt = key.barrett.powMod(block, key.e);
    637             var text = key.radix == 16 ? RSAUtils.biToHex(crypt) : RSAUtils.biToString(crypt, key.radix);
    638             result += text + " ";
    639         }
    640         return result.substring(0, result.length - 1);
    641     };
    642 
    643     RSAUtils.decryptedString = function (key, s) {
    644         var blocks = s.split(" ");
    645         var result = "";
    646         var i, j, block;
    647         for (i = 0; i < blocks.length; ++i) {
    648             var bi;
    649             if (key.radix == 16) {
    650                 bi = RSAUtils.biFromHex(blocks[i]);
    651             } else {
    652                 bi = RSAUtils.biFromString(blocks[i], key.radix);
    653             }
    654             block = key.barrett.powMod(bi, key.d);
    655             for (j = 0; j <= RSAUtils.biHighIndex(block); ++j) {
    656                 result += String.fromCharCode(block.digits[j] & 255,
    657                     block.digits[j] >> 8);
    658             }
    659         }
    660 
    661         if (result.charCodeAt(result.length - 1) == 0) {
    662             result = result.substring(0, result.length - 1);
    663         }
    664         return result;
    665     };
    666 
    667     RSAUtils.setMaxDigits(130);
    668 
    669 })(window);
    View Code

    2.login.jsp

    将公钥指数和公钥系数从后台controller传过来接收后存入input并隐藏

    <%--公钥系数:--%>
    <input type="hidden" id="hid_modulus" value="${pkModulus}"/>
    <%--公钥指数:--%>
    <input type="hidden" id="hid_exponent" value="${pkExponent}"/>

    引入rsasecurity.js

    <%--引入RSA非对称加密js--%>
    <script src="<%=basePath%>/plug-in/ace/js/rsasecurity.js"></script>

    js代码块进行加密并传到后台

    var data = $(":input").each(function() {
        if (this.name == 'password') { //只加密密码
            //获取公钥系数
            var modulus = $('#hid_modulus').val();
            //获取公钥指数
            var exponent = $('#hid_exponent').val();
            //获取最终公钥
            var key = RSAUtils.getKeyPair(exponent, '', modulus);
            //获取需加密的值
            var passwordVal = $("#" + this.name).val();
            //进行数据加密
            var ap = RSAUtils.encryptedString(key, encodeURI(passwordVal));
            formData[this.name] = ap;
        } else {
            formData[this.name] = $("#" + this.name).val();
        }
    });
    
    $.ajax({
       async: false,
       cache: false,
       type: 'POST',
       url: checkurl,// 请求的action路径
       data: formData,
       error: function () {// 请求失败处理函数
       },
       success: function (data) {
          var d = $.parseJSON(data);
          if (d.success) {
             window.location.href = actionurl;
          } else {
             showErrorMsg(d.msg);
          }
       }
    });

    3.LoginController.java

    返回登录视图时即把公钥系数和公钥指数存入request域用于前台接收

    // 获取公钥系数和公钥指数
    //获取公钥对象--注意:前端那边需要用到公钥系数和指数
    RSAPublicKey publicKey = RSAUtils.getDefaultPublicKey();
    //公钥-系数(n)
    System.out.println("public key modulus:" + new String(Hex.encode(publicKey.getModulus().toByteArray())));
    request.setAttribute("pkModulus", new String(Hex.encode(publicKey.getModulus().toByteArray())));
    //公钥-指数(e1)
    System.out.println("public key exponent:" + new String(Hex.encode(publicKey.getPublicExponent().toByteArray())));
    request.setAttribute("pkExponent", new String(Hex.encode(publicKey.getPublicExponent().toByteArray())));

    前台提交ajax请求进行登录参数校验时, 将js加密后的password进行解密(之后的校验就不贴了)

    String userName = null;
    String password = null;
    try {
        userName = req.getParameter("userName");
        password = req.getParameter("password");
        password = RSAUtils.decryptStringByJs(password);//解密后的字符串
    } catch (Exception e) {
        j.setSuccess(false);
        j.setMsg("用户名或密码错误!");
        sendMessage(userName, "用户名或密码错误,登录失败!");
        return j;
    }

    4.RSAUtils.java

    package org.jeecgframework.web.system.util;
    
    import org.apache.commons.lang3.StringUtils;
    import org.bouncycastle.jce.provider.BouncyCastleProvider;
    import org.bouncycastle.util.encoders.Hex;
    
    import javax.crypto.Cipher;
    import java.io.UnsupportedEncodingException;
    import java.math.BigInteger;
    import java.net.URLDecoder;
    import java.net.URLEncoder;
    import java.security.*;
    import java.security.interfaces.RSAPrivateKey;
    import java.security.interfaces.RSAPublicKey;
    
    /**
     * RSA算法加密/解密工具类。
     * 以下代码可以使用,唯一需要注意的是: org.bouncycastle...这个jar包需要找一到放到项目中,RSA所需jar包在java中已经自带了.
     *
     * @author liuyan
     */
    public class RSAUtils {
        /**
         * 算法名称
         */
        private static final String ALGORITHOM = "RSA";
        /**
         * 密钥大小
         */
        private static final int KEY_SIZE = 1024;
        /**
         * 默认的安全服务提供者
         */
        private static final Provider DEFAULT_PROVIDER = new BouncyCastleProvider();
        private static KeyPairGenerator keyPairGen = null;
        private static KeyFactory keyFactory = null;
        /**
         * 缓存的密钥对。
         */
        private static KeyPair oneKeyPair = null;
    
        //密文种子, 当想更换RSA钥匙的时候,只需要修改密文种子,即可更换
        private static final String radamKey = "nari";//你自己随便写上数字或者英文即可
    
        //类加载后进行初始化数据
        static {
            try {
                keyPairGen = KeyPairGenerator.getInstance(ALGORITHOM,
                        DEFAULT_PROVIDER);
                keyFactory = KeyFactory.getInstance(ALGORITHOM, DEFAULT_PROVIDER);
            } catch (NoSuchAlgorithmException ex) {
                ex.printStackTrace();
            }
        }
    
        /**
         * 根据指定的密文种子,生成并返回RSA密钥对。
         */
        private static synchronized KeyPair generateKeyPair() {
            try {
                keyPairGen.initialize(KEY_SIZE,
                        new SecureRandom(radamKey.getBytes()));
                oneKeyPair = keyPairGen.generateKeyPair();
                return oneKeyPair;
            } catch (InvalidParameterException ex) {
                ex.printStackTrace();
            } catch (NullPointerException ex) {
                ex.printStackTrace();
            }
            return null;
        }
    
        /**
         * 返回初始化时默认的公钥。
         */
        public static RSAPublicKey getDefaultPublicKey() {
            KeyPair keyPair = generateKeyPair();
            if (keyPair != null) {
                return (RSAPublicKey) keyPair.getPublic();
            }
            return null;
        }
    
        /**
         * 使用指定的私钥解密数据。
         *
         * @param privateKey 给定的私钥。
         * @param data       要解密的数据。
         * @return 原数据。
         */
        public static byte[] decrypt(PrivateKey privateKey, byte[] data) throws Exception {
            Cipher ci = Cipher.getInstance(ALGORITHOM, DEFAULT_PROVIDER);
            ci.init(Cipher.DECRYPT_MODE, privateKey);
            return ci.doFinal(data);
        }
    
        /**
         * 使用默认的私钥解密给定的字符串。
         *
         * @param encryptText 密文。
         * @return 原文字符串。
         */
        public static String decryptString(String encryptText) {
            if (StringUtils.isBlank(encryptText)) {
                return null;
            }
            KeyPair keyPair = generateKeyPair();
            try {
                byte[] en_data = Hex.decode(encryptText);
                byte[] data = decrypt((RSAPrivateKey) keyPair.getPrivate(), en_data);
                return new String(data);
            } catch (NullPointerException ex) {
                ex.printStackTrace();
            } catch (Exception ex) {
                ex.printStackTrace();
            }
            return null;
        }
    
        /**
         * 使用秘钥 - 对js端传递过来密文进行解密
         *
         * @param encryptText 密文。
         * @return {@code encryptText} 的原文字符串。
         */
        public static String decryptStringByJs(String encryptText) {
            String text = decryptString(encryptText);
            if (text == null) {
                return null;
            }
            String reverse = StringUtils.reverse(text);
            String decode = null;
            try {
                //这里需要进行编码转换.注:在前端js对明文加密前需要先进行转码-可自行百度"编码转换"
                decode = URLDecoder.decode(reverse, "UTF-8");
                System.out.println("解密后文字:" + decode);
            } catch (UnsupportedEncodingException e) {
                e.printStackTrace();
            }
            return decode;
        }
    
        //java端 - 使用公钥进行加密
        public static byte[] encrypt(String plaintext) throws Exception {
            // 获取公钥及参数e,n
            RSAPublicKey publicKey = RSAUtils.getDefaultPublicKey();
            //获取公钥指数 e
            BigInteger e = publicKey.getPublicExponent();
            //获取公钥系数 n
            BigInteger n = publicKey.getModulus();
            //先将明文进行编码
            String encode = URLEncoder.encode(plaintext);
            // 获取明文字节数组 m
            BigInteger m = new BigInteger(encode.getBytes());
            // 进行明文加密 c
            BigInteger c = m.modPow(e, n);
            //返回密文字节数组
            return c.toByteArray();
        }
    
        //java端 - 使用私钥进行解密
        public static String decrypt(byte[] cipherText) throws Exception {
            // 读取私钥
            KeyPair keyPair = generateKeyPair();
            RSAPrivateKey prk = (RSAPrivateKey) keyPair.getPrivate();
            // 获取私钥参数-指数/系数
            BigInteger d = prk.getPrivateExponent();
            BigInteger n = prk.getModulus();
            // 读取密文
            BigInteger c = new BigInteger(cipherText);
            // 进行解密
            BigInteger m = c.modPow(d, n);
            // 解密结果-字节数组
            byte[] mt = m.toByteArray();
            //转成String,此时是乱码
            String en = new String(mt);
            //再进行编码
            String result = URLDecoder.decode(en, "UTF-8");
            //最后返回解密后得到的明文
            return result;
        }
    
    
        public static void main(String[] args) {
            /*解密js端传递过来的密文*/
            //获取公钥对象--注意:前端那边需要用到公钥系数和指数
            RSAPublicKey publicKey = RSAUtils.getDefaultPublicKey();
            //公钥-系数(n)
            System.out.println("public key modulus:" + new String(Hex.encode(publicKey.getModulus().toByteArray())));
            //公钥-指数(e1)
            System.out.println("public key exponent:" + new String(Hex.encode(publicKey.getPublicExponent().toByteArray())));
            //JS加密后的字符串
            String param = "abd87309c1c01f8eb20e46008e7260d792b336505cccf6e0328a3b35f72ba6cec6f4913aa80e150f3f78529ef8259d04f8fb0cda049e1426b89e2122fae2470039556364cdde128bd1d9068ade1c828172086bc316907b77fe9551edfd0a7e427ecf310f720ee558bc1fee07714401554b0887672053ed9879f6aa895816f368";
            //解密后的字符串
            String param1 = RSAUtils.decryptStringByJs(param);
    
            System.out.println(param1);
    
        }
    }

     贴一下公钥系数和公钥指数以及加密后的字符串(明文是123456)

    公钥系数:
    00e0ffbc04ee1c099b3e898359a12a3d1a307415ec3daaff86e3d1b61a7d434e5073de79bc7de12324d4643fb93923f007897c35b7bb98c2864b8e4d319a5028935f882fad6ba1df8181478a331cf7d59335a603262bf7ad5aa648869ebd348640ad95f389eb603b6e301ea3e7aff24dc58209c2eef449a2bbe8d6d2159cdf1383
    
    公钥指数:
    010001
    
    js加密后的字符串:
    abd87309c1c01f8eb20e46008e7260d792b336505cccf6e0328a3b35f72ba6cec6f4913aa80e150f3f78529ef8259d04f8fb0cda049e1426b89e2122fae2470039556364cdde128bd1d9068ade1c828172086bc316907b77fe9551edfd0a7e427ecf310f720ee558bc1fee07714401554b0887672053ed9879f6aa895816f368

    RSA后台签名前台验签的应用(前台采用jsrsasign库)

    关于后台签名前台验签的, 如果有需要可以参考:RSA前台加密后台解密的应用

    感谢

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  • 原文地址:https://www.cnblogs.com/yadongliang/p/11639763.html
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