webogram-i2p/app/js/lib/bin_utils.js

/*!
 * Webogram v0.2.1 - messaging web application for MTProto
 * https://github.com/zhukov/webogram
 * Copyright (C) 2014 Igor Zhukov <igor.beatle@gmail.com>
 * https://github.com/zhukov/webogram/blob/master/LICENSE
 */

function bigint (num) {
  return new BigInteger(num.toString(16), 16);
}

function bigStringInt (strNum) {
  return new BigInteger(strNum, 10);
}

function dHexDump (bytes) {
  var arr = [];
  for (var i = 0; i < bytes.length; i++) {
    if (i && !(i % 2)) {
      if (!(i % 16)) {
        arr.push("\n");
      } else if (!(i % 4)) {
        arr.push('  ');
      } else {
        arr.push(' ');
      }
    }
    arr.push((bytes[i] < 16 ? '0' : '') + bytes[i].toString(16));
  }

  console.log(arr.join(''));
}

function bytesToHex (bytes) {
  bytes = bytes || [];
  var arr = [];
  for (var i = 0; i < bytes.length; i++) {
    arr.push((bytes[i] < 16 ? '0' : '') + (bytes[i] || 0).toString(16));
  }
  return arr.join('');
}

function bytesFromHex (hexString) {
  var len = hexString.length,
      i,
      bytes = [];

  for (i = 0; i < len; i += 2) {
    bytes.push(parseInt(hexString.substr(i, 2), 16));
  }

  return bytes;
}

function bytesToBase64 (bytes) {
  var mod3, result = '';

  for (var nLen = bytes.length, nUint24 = 0, nIdx = 0; nIdx < nLen; nIdx++) {
    mod3 = nIdx % 3;
    nUint24 |= bytes[nIdx] << (16 >>> mod3 & 24);
    if (mod3 === 2 || nLen - nIdx === 1) {
      result += String.fromCharCode(
        uint6ToBase64(nUint24 >>> 18 & 63),
        uint6ToBase64(nUint24 >>> 12 & 63),
        uint6ToBase64(nUint24 >>> 6 & 63),
        uint6ToBase64(nUint24 & 63)
      );
      nUint24 = 0;
    }
  }

  return result.replace(/A(?=A$|$)/g, '=');
}

function uint6ToBase64 (nUint6) {
  return nUint6 < 26
    ? nUint6 + 65
    : nUint6 < 52
      ? nUint6 + 71
      : nUint6 < 62
        ? nUint6 - 4
        : nUint6 === 62
          ? 43
          : nUint6 === 63
            ? 47
            : 65;
}

function bytesCmp (bytes1, bytes2) {
  var len = bytes1.length;
  if (len != bytes2.length) {
    return false;
  }

  for (var i = 0; i < len; i++) {
    if (bytes1[i] != bytes2[i]) {
      return false;
    }
  }
  return true;
}

function bytesXor (bytes1, bytes2) {
  var len = bytes1.length,
      bytes = [];

  for (var i = 0; i < len; ++i) {
      bytes[i] = bytes1[i] ^ bytes2[i];
  }

  return bytes;
}

function bytesToWords (bytes) {
  var len = bytes.length,
      words = [];

  for (var i = 0; i < len; i++) {
      words[i >>> 2] |= bytes[i] << (24 - (i % 4) * 8);
  }

  return new CryptoJS.lib.WordArray.init(words, len);
}

function bytesFromWords (wordArray) {
  var words = wordArray.words,
      sigBytes = wordArray.sigBytes,
      bytes = [];

  for (var i = 0; i < sigBytes; i++) {
      bytes.push((words[i >>> 2] >>> (24 - (i % 4) * 8)) & 0xff);
  }

  return bytes;
}

function bytesFromBigInt (bigInt, len) {
  var bytes = bigInt.toByteArray();

  while (!bytes[0] && (!len || bytes.length > len)) {
    bytes = bytes.slice(1);
  }

  return bytes;
}

function bytesFromLeemonBigInt (bigInt, len) {
  var str = bigInt2str(bigInt, 16);
  return bytesFromHex(str);
}


function bytesToArrayBuffer (b) {
  return (new Uint8Array(b)).buffer;
}

function bytesFromArrayBuffer (buffer) {
  var len = buffer.byteLength,
      byteView = new Uint8Array(buffer),
      bytes = [];

  for (var i = 0; i < len; ++i) {
      bytes[i] = byteView[i];
  }

  return bytes;
}

function longToInts (sLong) {
  var divRem = bigStringInt(sLong).divideAndRemainder(bigint(0x100000000));

  return [divRem[0].intValue(), divRem[1].intValue()];
}

function longToBytes (sLong) {
  return bytesFromWords({words: longToInts(sLong), sigBytes: 8}).reverse();
}

function longFromInts (high, low) {
  return bigint(high).shiftLeft(32).add(bigint(low)).toString(10);
}

function intToUint (val) {
  val = parseInt(val);
  if (val < 0) {
    val = val + 4294967296;
  }
  return val;
}

function uintToInt (val) {
  if (val > 2147483647) {
    val = val - 4294967296;
  }
  return val;
}

function sha1Hash (bytes) {
  // console.log('SHA-1 hash start');
  var hashBytes = sha1.hash(bytes, true);
  // console.log('SHA-1 hash finish');

  return hashBytes;
}



function rsaEncrypt (publicKey, bytes) {
  var needPadding = 255 - bytes.length;
  if (needPadding > 0) {
    var padding = new Array(needPadding);
    (new SecureRandom()).nextBytes(padding);

    bytes = bytes.concat(padding);
  }

  // console.log('RSA encrypt start');
  var N = new BigInteger(publicKey.modulus, 16),
      E = new BigInteger(publicKey.exponent, 16),
      X = new BigInteger(bytes),
      encryptedBigInt = X.modPowInt(E, N),
      encryptedBytes  = bytesFromBigInt(encryptedBigInt, 256);

  // console.log('RSA encrypt finish');

  return encryptedBytes;
}

function aesEncrypt (bytes, keyBytes, ivBytes) {
  // console.log('AES encrypt start', bytes.length/*, bytesToHex(keyBytes), bytesToHex(ivBytes)*/);

  var needPadding = 16 - (bytes.length % 16);
  if (needPadding > 0 && needPadding < 16) {
    var padding = new Array(needPadding);
    (new SecureRandom()).nextBytes(padding);

    bytes = bytes.concat(padding);
  }

  var encryptedWords = CryptoJS.AES.encrypt(bytesToWords(bytes), bytesToWords(keyBytes), {
    iv: bytesToWords(ivBytes),
    padding: CryptoJS.pad.NoPadding,
    mode: CryptoJS.mode.IGE
  }).ciphertext;

  var encryptedBytes = bytesFromWords(encryptedWords);

  // console.log('AES encrypt finish');

  return encryptedBytes;
}

function aesDecrypt (encryptedBytes, keyBytes, ivBytes) {
  // console.log('AES decrypt start', encryptedBytes.length/*, bytesToHex(keyBytes), bytesToHex(ivBytes)*/);

  var decryptedWords = CryptoJS.AES.decrypt({ciphertext: bytesToWords(encryptedBytes)}, bytesToWords(keyBytes), {
    iv: bytesToWords(ivBytes),
    padding: CryptoJS.pad.NoPadding,
    mode: CryptoJS.mode.IGE
  });

  var bytes = bytesFromWords(decryptedWords);

  // console.log('AES decrypt finish');

  return bytes;
}

function gzipUncompress (bytes) {
  // console.log('Gzip uncompress start');
  var result = (new Zlib.Gunzip(bytes)).decompress();
  // console.log('Gzip uncompress finish');
  return result;
}

function nextRandomInt (maxValue) {
  return Math.floor(Math.random() * maxValue);
};

function pqPrimeFactorization (pqBytes) {
  var what = new BigInteger(pqBytes), 
      result = false;

  console.log('PQ start', pqBytes, what.toString(16), what.bitLength());

  try {
    result = pqPrimeLeemon(str2bigInt(what.toString(16), 16, Math.ceil(64 / bpe) + 1))
  } catch (e) {
    console.error('Pq leemon Exception', e);
  }

  if (result === false && what.bitLength() <= 64) {
    // console.time('PQ long');
    try {
      result = pqPrimeLong(goog.math.Long.fromString(what.toString(16), 16));
    } catch (e) {
      console.error('Pq long Exception', e);
    };
    // console.timeEnd('PQ long');
  }
  // console.log(result);

  if (result === false) {
    // console.time('pq BigInt');
    result = pqPrimeBigInteger(what);
    // console.timeEnd('pq BigInt');
  }

  console.log('PQ finish');

  return result;
}

function pqPrimeBigInteger (what) {
  var it = 0,
      g;
  for (var i = 0; i < 3; i++) {
    var q = (nextRandomInt(128) & 15) + 17,
        x = bigint(nextRandomInt(1000000000) + 1),
        y = x.clone(),
        lim = 1 << (i + 18);

    for (var j = 1; j < lim; j++) {
      ++it;
      var a = x.clone(),
          b = x.clone(),
          c = bigint(q);

      while (!b.equals(BigInteger.ZERO)) {
        if (!b.and(BigInteger.ONE).equals(BigInteger.ZERO)) {
          c = c.add(a);
          if (c.compareTo(what) > 0) {
            c = c.subtract(what);
          }
        }
        a = a.add(a);
        if (a.compareTo(what) > 0) {
          a = a.subtract(what);
        }
        b = b.shiftRight(1);
      }

      x = c.clone();
      var z = x.compareTo(y) < 0 ? y.subtract(x) : x.subtract(y);
      g = z.gcd(what);
      if (!g.equals(BigInteger.ONE)) {
        break;
      }
      if ((j & (j - 1)) == 0) {
        y = x.clone();
      }
    }
    if (g.compareTo(BigInteger.ONE) > 0) {
      break;
    }
  }

  var f = what.divide(g), P, Q;

  if (g.compareTo(f) > 0) {
    P = f;
    Q = g;
  } else {
    P = g;
    Q = f;
  }

  return [bytesFromBigInt(P), bytesFromBigInt(Q), it];
}

function gcdLong(a, b) {
  while (a.notEquals(goog.math.Long.ZERO) && b.notEquals(goog.math.Long.ZERO)) {
    while (b.and(goog.math.Long.ONE).equals(goog.math.Long.ZERO)) {
      b = b.shiftRight(1);
    }
    while (a.and(goog.math.Long.ONE).equals(goog.math.Long.ZERO)) {
      a = a.shiftRight(1);
    }
    if (a.compare(b) > 0) {
      a = a.subtract(b);
    } else {
      b = b.subtract(a);
    }
  }
  return b.equals(goog.math.Long.ZERO) ? a : b;
}

function pqPrimeLong(what) {
  var it = 0,
      g;
  for (var i = 0; i < 3; i++) {
    var q = goog.math.Long.fromInt((nextRandomInt(128) & 15) + 17),
        x = goog.math.Long.fromInt(nextRandomInt(1000000000) + 1),
        y = x,
        lim = 1 << (i + 18);

    for (var j = 1; j < lim; j++) {
      ++it;
      var a = x,
          b = x,
          c = q;

      while (b.notEquals(goog.math.Long.ZERO)) {
        if (b.and(goog.math.Long.ONE).notEquals(goog.math.Long.ZERO)) {
          c = c.add(a);
          if (c.compare(what) > 0) {
            c = c.subtract(what);
          }
        }
        a = a.add(a);
        if (a.compare(what) > 0) {
          a = a.subtract(what);
        }
        b = b.shiftRight(1);
      }

      x = c;
      var z = x.compare(y) < 0 ? y.subtract(x) : x.subtract(y);
      g = gcdLong(z, what);
      if (g.notEquals(goog.math.Long.ONE)) {
        break;
      }
      if ((j & (j - 1)) == 0) {
        y = x;
      }
    }
    if (g.compare(goog.math.Long.ONE) > 0) {
      break;
    }
  }

  var f = what.div(g), P, Q;

  if (g.compare(f) > 0) {
    P = f;
    Q = g;
  } else {
    P = g;
    Q = f;
  }

  return [bytesFromHex(P.toString(16)), bytesFromHex(Q.toString(16)), it];
}


function pqPrimeLeemon (what) {
  var minBits = 64,
      minLen = Math.ceil(minBits / bpe) + 1,
      it = 0, i, q, j, lim, g, P, Q,
      a = new Array(minLen),
      b = new Array(minLen),
      c = new Array(minLen),
      g = new Array(minLen),
      z = new Array(minLen),
      x = new Array(minLen),
      y = new Array(minLen);

  for (i = 0; i < 3; i++) {
    q = (nextRandomInt(128) & 15) + 17;
    copyInt_(x, nextRandomInt(1000000000) + 1);
    copy_(y, x);
    lim = 1 << (i + 18);

    for (j = 1; j < lim; j++) {
      ++it;
      copy_(a, x);
      copy_(b, x);
      copyInt_(c, q);

      while (!isZero(b)) {
        if (b[0] & 1) {
          add_(c, a);
          if (greater(c, what)) {
            sub_(c, what);
          }
        }
        add_(a, a);
        if (greater(a, what)) {
          sub_(a, what);
        }
        rightShift_(b, 1);
      }

      copy_(x, c);
      if (greater(x,y)) {
        copy_(z, x);
        sub_(z, y);
      } else {
        copy_(z, y);
        sub_(z, x);
      }
      eGCD_(z, what, g, a, b);
      if (!equalsInt(g, 1)) {
        break;
      }
      if ((j & (j - 1)) == 0) {
        copy_(y, x);
      }
    }
    if (greater(g, one)) {
      break;
    }
  }

  divide_(what, g, x, y);

  if (greater(g, x)) {
    P = x;
    Q = g;
  } else {
    P = g;
    Q = x;
  }

  // console.log(dT(), 'done', bigInt2str(what, 10), bigInt2str(P, 10), bigInt2str(Q, 10));

  return [bytesFromLeemonBigInt(P), bytesFromLeemonBigInt(Q), it];
}


function bytesModPow (x, y, m) {
  try {
    var xBigInt = str2bigInt(x, 64),
        yBigInt = str2bigInt(y, 64),
        mBigInt = str2bigInt(bytesToHex(m), 16, 2),
        resBigInt = powMod(xBigInt, yBigInt, mBigInt);

    return bytesFromHex(bigInt2str(resBigInt, 16));
  } catch (e) {}

  return bytesFromBigInt(new BigInteger(x).modPow(new BigInteger(y), new BigInteger(m)));
}