rsa 解密过程

直接扣js代码

　　

$w = {};
if (typeof $w.RSAUtils === 'undefined') var RSAUtils = $w.RSAUtils = {};
var biRadixBase = 2;
var biRadixBits = 16;
var bitsPerDigit = biRadixBits;
var biRadix = 1 << 16;
var biHalfRadix = biRadix >>> 1;
var biRadixSquared = biRadix * biRadix;
var maxDigitVal = biRadix - 1;
var maxInteger = 9999999999999998;
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);
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;
};
var lr10 = RSAUtils.biFromNumber(1000000000000000);
RSAUtils.biFromDecimal = function(s) {
    var isNeg = s.charAt(0) == '-';
    var i = isNeg ? 1 : 0;
    var result;
    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) {
    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;
    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;
            if (result.digits[i] < 0) result.digits[i] += biRadix;
            c = 0 - Number(n < 0);
        }
        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;
                if (result.digits[i] < 0) result.digits[i] += biRadix;
                c = 0 - Number(n < 0);
            }
            result.isNeg = !x.isNeg;
        } else {
            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;
        }
        result.digits[i + n + 1] = c;
    }
    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;
    }
    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) {
        if (x.isNeg) {
            q = RSAUtils.biCopy(bigOne);
            q.isNeg = !y.isNeg;
            x.isNeg = false;
            y.isNeg = false;
            r = biSubtract(y, x);
            x.isNeg = true;
            y.isNeg = origYIsNeg;
        } else {
            q = new BigInt();
            r = RSAUtils.biCopy(x);
        }
        return [q, r];
    }
    q = new BigInt();
    r = x;
    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;
    }
    r = RSAUtils.biShiftLeft(r, lambda);
    nb += lambda;
    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);
    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);
    }
    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;
    this.mu = RSAUtils.biDivide(b2k, this.modulus);
    this.bkplus1 = new BigInt();
    this.bkplus1.digits[this.k + 1] = 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) {
    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);
    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);
};
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);
        }
    }
    if (result.charCodeAt(result.length - 1) == 0) {
        result = result.substring(0, result.length - 1);
    }
    return result;
};
RSAUtils.setMaxDigits(130);

function jiami(pwd, modulus, exponent) {
    var publicKey = RSAUtils.getKeyPair(exponent, '', modulus);
    console.log(RSAUtils.encryptedString(publicKey, pwd))
    return RSAUtils.encryptedString(publicKey, pwd);
}




var pwd = "LINlin168";
var modulus = "009cee4fec107772c16d658626b430f8a9c6dbdac59f21d3ad9c00bdb992892c35";
var exponent = "010001";
// 456b333048a01191715100f0e023b7d40350bd31de2ded152e656e6154b7aa66

 jiami(pwd, modulus, exponent)

运行结果：