前端RSA工具security.js

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security.js封裝了BigInt.js,RSA.js和Barrett.js

/* * RSA, a suite of routines for performing RSA public-key computations in JavaScript. * Copyright 1998-2005 David Shapiro. * Dave Shapiro * [email protected]  * changed by Fuchun, 2010-05-06 * [email protected] */(function($w) {if(typeof $w.RSAUtils === ‘undefined‘)var RSAUtils = $w.RSAUtils = {};var biRadixBase = 2;var biRadixBits = 16;var bitsPerDigit = biRadixBits;var biRadix = 1 << 16; // = 2^16 = 65536var 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 ^ dpl10var 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 <= 36var 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^0for (var i = s.length - 1; i >= istop; i--) {var c = s.charCodeAt(i);var digit = RSAUtils.charToHex(c);var biDigit = RSAUtils.biMultiplyDigit(place, digit);result = RSAUtils.biAdd(result, biDigit);place = RSAUtils.biMultiplyDigit(place, radix);}result.isNeg = isNeg;return result;};RSAUtils.biDump = function(b) {return (b.isNeg ? "-" : "") + b.digits.join(" ");};RSAUtils.biAdd = function(x, y) {var result;if (x.isNeg != y.isNeg) {y.isNeg = !y.isNeg;result = RSAUtils.biSubtract(x, y);y.isNeg = !y.isNeg;}else {result = new BigInt();var c = 0;var n;for (var i = 0; i < x.digits.length; ++i) {n = x.digits[i] + y.digits[i] + c;result.digits[i] = n % biRadix;c = Number(n >= biRadix);}result.isNeg = x.isNeg;}return result;};RSAUtils.biSubtract = function(x, y) {var result;if (x.isNeg != y.isNeg) {y.isNeg = !y.isNeg;result = RSAUtils.biAdd(x, y);y.isNeg = !y.isNeg;} else {result = new BigInt();var n, c;c = 0;for (var i = 0; i < x.digits.length; ++i) {n = x.digits[i] - y.digits[i] + c;result.digits[i] = n % biRadix;// Stupid non-conforming modulus operation.if (result.digits[i] < 0) result.digits[i] += biRadix;c = 0 - Number(n < 0);}// Fix up the negative sign, if any.if (c == -1) {c = 0;for (var i = 0; i < x.digits.length; ++i) {n = 0 - result.digits[i] + c;result.digits[i] = n % biRadix;// Stupid non-conforming modulus operation.if (result.digits[i] < 0) result.digits[i] += biRadix;c = 0 - Number(n < 0);}// Result is opposite sign of arguments.result.isNeg = !x.isNeg;} else {// Result is same sign.result.isNeg = x.isNeg;}}return result;};RSAUtils.biHighIndex = function(x) {var result = x.digits.length - 1;while (result > 0 && x.digits[result] == 0) --result;return result;};RSAUtils.biNumBits = function(x) {var n = RSAUtils.biHighIndex(x);var d = x.digits[n];var m = (n + 1) * bitsPerDigit;var result;for (result = m; result > m - bitsPerDigit; --result) {if ((d & 0x8000) != 0) break;d <<= 1;}return result;};RSAUtils.biMultiply = function(x, y) {var result = new BigInt();var c;var n = RSAUtils.biHighIndex(x);var t = RSAUtils.biHighIndex(y);var u, uv, k;for (var i = 0; i <= t; ++i) {c = 0;k = i;for (j = 0; j <= n; ++j, ++k) {uv = result.digits[k] + x.digits[j] * y.digits[i] + c;result.digits[k] = uv & maxDigitVal;c = uv >>> biRadixBits;//c = Math.floor(uv / biRadix);}result.digits[i + n + 1] = c;}// Someone give me a logical xor, please.result.isNeg = x.isNeg != y.isNeg;return result;};RSAUtils.biMultiplyDigit = function(x, y) {var n, c, uv;result = new BigInt();n = RSAUtils.biHighIndex(x);c = 0;for (var j = 0; j <= n; ++j) {uv = result.digits[j] + x.digits[j] * y + c;result.digits[j] = uv & maxDigitVal;c = uv >>> biRadixBits;//c = Math.floor(uv / biRadix);}result.digits[1 + n] = c;return result;};RSAUtils.arrayCopy = function(src, srcStart, dest, destStart, n) {var m = Math.min(srcStart + n, src.length);for (var i = srcStart, j = destStart; i < m; ++i, ++j) {dest[j] = src[i];}};var highBitMasks = [0x0000, 0x8000, 0xC000, 0xE000, 0xF000, 0xF800,        0xFC00, 0xFE00, 0xFF00, 0xFF80, 0xFFC0, 0xFFE0,        0xFFF0, 0xFFF8, 0xFFFC, 0xFFFE, 0xFFFF];RSAUtils.biShiftLeft = function(x, n) {var digitCount = Math.floor(n / bitsPerDigit);var result = new BigInt();RSAUtils.arrayCopy(x.digits, 0, result.digits, digitCount,          result.digits.length - digitCount);var bits = n % bitsPerDigit;var rightBits = bitsPerDigit - bits;for (var i = result.digits.length - 1, i1 = i - 1; i > 0; --i, --i1) {result.digits[i] = ((result.digits[i] << bits) & maxDigitVal) |                   ((result.digits[i1] & highBitMasks[bits]) >>>                    (rightBits));}result.digits[0] = ((result.digits[i] << bits) & maxDigitVal);result.isNeg = x.isNeg;return result;};var lowBitMasks = [0x0000, 0x0001, 0x0003, 0x0007, 0x000F, 0x001F,        0x003F, 0x007F, 0x00FF, 0x01FF, 0x03FF, 0x07FF,        0x0FFF, 0x1FFF, 0x3FFF, 0x7FFF, 0xFFFF];RSAUtils.biShiftRight = function(x, n) {var digitCount = Math.floor(n / bitsPerDigit);var result = new BigInt();RSAUtils.arrayCopy(x.digits, digitCount, result.digits, 0,          x.digits.length - digitCount);var bits = n % bitsPerDigit;var leftBits = bitsPerDigit - bits;for (var i = 0, i1 = i + 1; i < result.digits.length - 1; ++i, ++i1) {result.digits[i] = (result.digits[i] >>> bits) |                   ((result.digits[i1] & lowBitMasks[bits]) << leftBits);}result.digits[result.digits.length - 1] >>>= bits;result.isNeg = x.isNeg;return result;};RSAUtils.biMultiplyByRadixPower = function(x, n) {var result = new BigInt();RSAUtils.arrayCopy(x.digits, 0, result.digits, n, result.digits.length - n);return result;};RSAUtils.biDivideByRadixPower = function(x, n) {var result = new BigInt();RSAUtils.arrayCopy(x.digits, n, result.digits, 0, result.digits.length - n);return result;};RSAUtils.biModuloByRadixPower = function(x, n) {var result = new BigInt();RSAUtils.arrayCopy(x.digits, 0, result.digits, 0, n);return result;};RSAUtils.biCompare = function(x, y) {if (x.isNeg != y.isNeg) {return 1 - 2 * Number(x.isNeg);}for (var i = x.digits.length - 1; i >= 0; --i) {if (x.digits[i] != y.digits[i]) {if (x.isNeg) {return 1 - 2 * Number(x.digits[i] > y.digits[i]);} else {return 1 - 2 * Number(x.digits[i] < y.digits[i]);}}}return 0;};RSAUtils.biDivideModulo = function(x, y) {var nb = RSAUtils.biNumBits(x);var tb = RSAUtils.biNumBits(y);var origYIsNeg = y.isNeg;var q, r;if (nb < tb) {// |x| < |y|if (x.isNeg) {q = RSAUtils.biCopy(bigOne);q.isNeg = !y.isNeg;x.isNeg = false;y.isNeg = false;r = biSubtract(y, x);// Restore signs, ‘cause they‘re references.x.isNeg = true;y.isNeg = origYIsNeg;} else {q = new BigInt();r = RSAUtils.biCopy(x);}return [q, r];}q = new BigInt();r = x;// Normalize Y.var t = Math.ceil(tb / bitsPerDigit) - 1;var lambda = 0;while (y.digits[t] < biHalfRadix) {y = RSAUtils.biShiftLeft(y, 1);++lambda;++tb;t = Math.ceil(tb / bitsPerDigit) - 1;}// Shift r over to keep the quotient constant. We‘ll shift the// remainder back at the end.r = RSAUtils.biShiftLeft(r, lambda);nb += lambda; // Update the bit count for x.var n = Math.ceil(nb / bitsPerDigit) - 1;var b = RSAUtils.biMultiplyByRadixPower(y, n - t);while (RSAUtils.biCompare(r, b) != -1) {++q.digits[n - t];r = RSAUtils.biSubtract(r, b);}for (var i = n; i > t; --i) {    var ri = (i >= r.digits.length) ? 0 : r.digits[i];    var ri1 = (i - 1 >= r.digits.length) ? 0 : r.digits[i - 1];    var ri2 = (i - 2 >= r.digits.length) ? 0 : r.digits[i - 2];    var yt = (t >= y.digits.length) ? 0 : y.digits[t];    var yt1 = (t - 1 >= y.digits.length) ? 0 : y.digits[t - 1];if (ri == yt) {q.digits[i - t - 1] = maxDigitVal;} else {q.digits[i - t - 1] = Math.floor((ri * biRadix + ri1) / yt);}var c1 = q.digits[i - t - 1] * ((yt * biRadix) + yt1);var c2 = (ri * biRadixSquared) + ((ri1 * biRadix) + ri2);while (c1 > c2) {--q.digits[i - t - 1];c1 = q.digits[i - t - 1] * ((yt * biRadix) | yt1);c2 = (ri * biRadix * biRadix) + ((ri1 * biRadix) + ri2);}b = RSAUtils.biMultiplyByRadixPower(y, i - t - 1);r = RSAUtils.biSubtract(r, RSAUtils.biMultiplyDigit(b, q.digits[i - t - 1]));if (r.isNeg) {r = RSAUtils.biAdd(r, b);--q.digits[i - t - 1];}}r = RSAUtils.biShiftRight(r, lambda);// Fiddle with the signs and stuff to make sure that 0 <= r < y.q.isNeg = x.isNeg != origYIsNeg;if (x.isNeg) {if (origYIsNeg) {q = RSAUtils.biAdd(q, bigOne);} else {q = RSAUtils.biSubtract(q, bigOne);}y = RSAUtils.biShiftRight(y, lambda);r = RSAUtils.biSubtract(y, r);}// Check for the unbelievably stupid degenerate case of r == -0.if (r.digits[0] == 0 && RSAUtils.biHighIndex(r) == 0) r.isNeg = false;return [q, r];};RSAUtils.biDivide = function(x, y) {return RSAUtils.biDivideModulo(x, y)[0];};RSAUtils.biModulo = function(x, y) {return RSAUtils.biDivideModulo(x, y)[1];};RSAUtils.biMultiplyMod = function(x, y, m) {return RSAUtils.biModulo(RSAUtils.biMultiply(x, y), m);};RSAUtils.biPow = function(x, y) {var result = bigOne;var a = x;while (true) {if ((y & 1) != 0) result = RSAUtils.biMultiply(result, a);y >>= 1;if (y == 0) break;a = RSAUtils.biMultiply(a, a);}return result;};RSAUtils.biPowMod = function(x, y, m) {var result = bigOne;var a = x;var k = y;while (true) {if ((k.digits[0] & 1) != 0) result = RSAUtils.biMultiplyMod(result, a, m);k = RSAUtils.biShiftRight(k, 1);if (k.digits[0] == 0 && RSAUtils.biHighIndex(k) == 0) break;a = RSAUtils.biMultiplyMod(a, a, m);}return result;};$w.BarrettMu = function(m) {this.modulus = RSAUtils.biCopy(m);this.k = RSAUtils.biHighIndex(this.modulus) + 1;var b2k = new BigInt();b2k.digits[2 * this.k] = 1; // b2k = b^(2k)this.mu = RSAUtils.biDivide(b2k, this.modulus);this.bkplus1 = new BigInt();this.bkplus1.digits[this.k + 1] = 1; // bkplus1 = b^(k+1)this.modulo = BarrettMu_modulo;this.multiplyMod = BarrettMu_multiplyMod;this.powMod = BarrettMu_powMod;};function BarrettMu_modulo(x) {var $dmath = RSAUtils;var q1 = $dmath.biDivideByRadixPower(x, this.k - 1);var q2 = $dmath.biMultiply(q1, this.mu);var q3 = $dmath.biDivideByRadixPower(q2, this.k + 1);var r1 = $dmath.biModuloByRadixPower(x, this.k + 1);var r2term = $dmath.biMultiply(q3, this.modulus);var r2 = $dmath.biModuloByRadixPower(r2term, this.k + 1);var r = $dmath.biSubtract(r1, r2);if (r.isNeg) {r = $dmath.biAdd(r, this.bkplus1);}var rgtem = $dmath.biCompare(r, this.modulus) >= 0;while (rgtem) {r = $dmath.biSubtract(r, this.modulus);rgtem = $dmath.biCompare(r, this.modulus) >= 0;}return r;}function BarrettMu_multiplyMod(x, y) {/*x = this.modulo(x);y = this.modulo(y);*/var xy = RSAUtils.biMultiply(x, y);return this.modulo(xy);}function BarrettMu_powMod(x, y) {var result = new BigInt();result.digits[0] = 1;var a = x;var k = y;while (true) {if ((k.digits[0] & 1) != 0) result = this.multiplyMod(result, a);k = RSAUtils.biShiftRight(k, 1);if (k.digits[0] == 0 && RSAUtils.biHighIndex(k) == 0) break;a = this.multiplyMod(a, a);}return result;}var RSAKeyPair = function(encryptionExponent, decryptionExponent, modulus) {var $dmath = RSAUtils;this.e = $dmath.biFromHex(encryptionExponent);this.d = $dmath.biFromHex(decryptionExponent);this.m = $dmath.biFromHex(modulus);// We can do two bytes per digit, so// chunkSize = 2 * (number of digits in modulus - 1).// Since biHighIndex returns the high index, not the number of digits, 1 has// already been subtracted.this.chunkSize = 2 * $dmath.biHighIndex(this.m);this.radix = 16;this.barrett = new $w.BarrettMu(this.m);};RSAUtils.getKeyPair = function(encryptionExponent, decryptionExponent, modulus) {return new RSAKeyPair(encryptionExponent, decryptionExponent, modulus);};if(typeof $w.twoDigit === ‘undefined‘) {$w.twoDigit = function(n) {return (n < 10 ? "0" : "") + String(n);};}// Altered by Rob Saunders ([email protected]). New routine pads the// string after it has been converted to an array. This fixes an// incompatibility with Flash MX‘s ActionScript.RSAUtils.encryptedString = function(key, s) {var a = [];var sl = s.length;var i = 0;while (i < sl) {a[i] = s.charCodeAt(i);i++;}while (a.length % key.chunkSize != 0) {a[i++] = 0;}var al = a.length;var result = "";var j, k, block;for (i = 0; i < al; i += key.chunkSize) {block = new BigInt();j = 0;for (k = i; k < i + key.chunkSize; ++j) {block.digits[j] = a[k++];block.digits[j] += a[k++] << 8;}var crypt = key.barrett.powMod(block, key.e);var text = key.radix == 16 ? RSAUtils.biToHex(crypt) : RSAUtils.biToString(crypt, key.radix);result += text + " ";}return result.substring(0, result.length - 1); // Remove last space.};RSAUtils.decryptedString = function(key, s) {var blocks = s.split(" ");var result = "";var i, j, block;for (i = 0; i < blocks.length; ++i) {var bi;if (key.radix == 16) {bi = RSAUtils.biFromHex(blocks[i]);}else {bi = RSAUtils.biFromString(blocks[i], key.radix);}block = key.barrett.powMod(bi, key.d);for (j = 0; j <= RSAUtils.biHighIndex(block); ++j) {result += String.fromCharCode(block.digits[j] & 255,                              block.digits[j] >> 8);}}// Remove trailing null, if any.if (result.charCodeAt(result.length - 1) == 0) {result = result.substring(0, result.length - 1);}return result;};RSAUtils.setMaxDigits(130);})(window);

　　

 

前端RSA工具security.js