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

RSA前台加密后台解密的应用
  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);
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