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+/*
+ * Copyright 2005, Nick Galbreath -- nickg [at] modp [dot] com
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ *
+ * Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * Neither the name of the modp.com nor the names of its
+ * contributors may be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+ * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * This is the standard "new" BSD license:
+ * http://www.opensource.org/licenses/bsd-license.php
+ */
+
+package gtPlusPlus.api.objects;
+import java.math.BigInteger;
+import java.security.SecureRandom;
+import java.util.Random;
+
+import gtPlusPlus.api.interfaces.IRandomGenerator;
+import gtPlusPlus.core.util.Utils;
+
+/**
+ * The Blum-Blum-Shub random number generator.
+ *
+ * <p>
+ * The Blum-Blum-Shub is a "cryptographically secure" random number
+ * generator. It has been proven that predicting the ouput
+ * is equivalent to factoring <i>n</i>, a large integer generated
+ * from two prime numbers.
+ * </p>
+ *
+ * <p>
+ * The Algorithm:
+ * </p>
+ * <ol>
+ * <li>
+ * (setup) generate two secret prime numbers <i>p</i>, <i>q</i> such that
+ * <i>p</i> &ne; <i>q</i>, <i>p</i> &equiv; 3 mod 4, <i>q</i> &equiv; 3 mod 4.
+ * </li>
+ * <li> (setup) compute <i>n</i> = <i>pq</i>. <i>n</i> can be re-used, but
+ * <i>p</i>, and <i>q</i> are secret and should be disposed of.</li>
+ * <li> Generate a (secure) random seed <i>s</i> in the range [1, <i>n</i> -1]
+ * such that gcd(<i>s</i>, <i>n</i>) = 1.
+ * <li> Compute <i>x</i> = <i>s</i><sup>2</sup> mod <i>n</i></li>
+ * <li> Compute a single random bit with:
+ * <ol>
+ * <li> <i>x</i> = <i>x</i><sup>2</sup> mod <i>n</i></li>
+ * <li> return Least-Significant-Bit(<i>x</i>) (i.e. <i>x</i> & 1)</li>
+ * </ol>
+ * Repeat as necessary.
+ * </li>
+ * </ol>
+ *
+ * <p>
+ * The code originally appeared in <a href="http://modp.com/cida/"><i>Cryptography for
+ * Internet and Database Applications </i>, Chapter 4, pages 174-177</a>
+ * </p>
+ * <p>
+ * More details are in the <a href="http://www.cacr.math.uwaterloo.ca/hac/"><i>Handbook of Applied Cryptography</i></a>,
+ * <a href="http://www.cacr.math.uwaterloo.ca/hac/about/chap5.pdf">Section 5.5.2</a>
+ * </p>
+ *
+ * @author Nick Galbreath -- nickg [at] modp [dot] com
+ * @version 3 -- 06-Jul-2005
+ *
+ */
+public class CSPRNG_DO_NOT_USE extends Random implements IRandomGenerator {
+
+ // pre-compute a few values
+ private static final BigInteger two = BigInteger.valueOf(2L);
+
+ private static final BigInteger three = BigInteger.valueOf(3L);
+
+ private static final BigInteger four = BigInteger.valueOf(4L);
+
+ /**
+ * main parameter
+ */
+ private BigInteger n;
+
+ private BigInteger state;
+
+ /**
+ * Generate appropriate prime number for use in Blum-Blum-Shub.
+ *
+ * This generates the appropriate primes (p = 3 mod 4) needed to compute the
+ * "n-value" for Blum-Blum-Shub.
+ *
+ * @param bits Number of bits in prime
+ * @param rand A source of randomness
+ */
+ private static BigInteger getPrime(int bits, Random rand) {
+ BigInteger p;
+ while (true) {
+ p = new BigInteger(bits, 100, rand);
+ if (p.mod(four).equals(three))
+ break;
+ }
+ return p;
+ }
+
+ /**
+ * This generates the "n value" -- the multiplication of two equally sized
+ * random prime numbers -- for use in the Blum-Blum-Shub algorithm.
+ *
+ * @param bits
+ * The number of bits of security
+ * @param rand
+ * A random instance to aid in generating primes
+ * @return A BigInteger, the <i>n</i>.
+ */
+ public static BigInteger generateN(int bits, Random rand) {
+ BigInteger p = getPrime(bits/2, rand);
+ BigInteger q = getPrime(bits/2, rand);
+
+ // make sure p != q (almost always true, but just in case, check)
+ while (p.equals(q)) {
+ q = getPrime(bits, rand);
+ }
+ return p.multiply(q);
+ }
+
+ /**
+ * Constructor, specifing bits for <i>n</i>
+ *
+ * @param bits number of bits
+ */
+ public CSPRNG_DO_NOT_USE(int bits) {
+ this(bits, new Random());
+ }
+
+ /**
+ * Constructor, generates prime and seed
+ *
+ * @param bits
+ * @param rand
+ */
+ public CSPRNG_DO_NOT_USE(int bits, Random rand) {
+ this(generateN(bits, rand));
+ }
+
+ /**
+ * A constructor to specify the "n-value" to the Blum-Blum-Shub algorithm.
+ * The inital seed is computed using Java's internal "true" random number
+ * generator.
+ *
+ * @param n
+ * The n-value.
+ */
+ public CSPRNG_DO_NOT_USE(BigInteger n) {
+ this(n, SecureRandom.getSeed(n.bitLength() / 8));
+ }
+
+ /**
+ * A constructor to specify both the n-value and the seed to the
+ * Blum-Blum-Shub algorithm.
+ *
+ * @param n
+ * The n-value using a BigInteger
+ * @param seed
+ * The seed value using a byte[] array.
+ */
+ public CSPRNG_DO_NOT_USE(BigInteger n, byte[] seed) {
+ this.n = n;
+ setSeed(seed);
+ }
+
+ /**
+ * Sets or resets the seed value and internal state
+ *
+ * @param seedBytes
+ * The new seed.
+ */
+ public void setSeed(byte[] seedBytes) {
+ // ADD: use hardwired default for n
+ BigInteger seed = new BigInteger(1, seedBytes);
+ state = seed.mod(n);
+ }
+
+ /**
+ * Returns up to numBit random bits
+ *
+ * @return int
+ */
+ @Override
+ public int next(int numBits) {
+ // TODO: find out how many LSB one can extract per cycle.
+ // it is more than one.
+ int result = 0;
+ for (int i = numBits; i != 0; --i) {
+ state = state.modPow(two, n);
+ result = (result << 1) | (state.testBit(0) == true ? 1 : 0);
+ }
+ return result;
+ }
+
+
+ public static CSPRNG_DO_NOT_USE generate(){
+ return generate(512);
+ }
+
+ /**
+ * @return CSPRNG_DO_NOT_USE
+ * @Author Draknyte1/Alkalus
+ */
+ public static CSPRNG_DO_NOT_USE generate(int bitsize){
+ // First use the internal, stock "true" random number
+ // generator to get a "true random seed"
+ SecureRandom r = Utils.generateSecureRandom();
+ r.nextInt(); // need to do something for SR to be triggered.
+ // Use this seed to generate a n-value for Blum-Blum-Shub
+ // This value can be re-used if desired.
+ BigInteger nval = CSPRNG_DO_NOT_USE.generateN(bitsize, r);
+ // now get a seed
+ byte[] seed = new byte[bitsize/8];
+ r.nextBytes(seed);
+ // now create an instance of BlumBlumShub
+ CSPRNG_DO_NOT_USE bbs = new CSPRNG_DO_NOT_USE(nval, seed);
+ return bbs;
+ }
+
+
+ /**
+ * @return CSPRNG_DO_NOT_USE
+ * @Author Draknyte1/Alkalus
+ */
+ public static CSPRNG_DO_NOT_USE generate(Random aRandom){
+ return generate(512, aRandom);
+ }
+
+ /**
+ * @return CSPRNG_DO_NOT_USE
+ * @Author Draknyte1/Alkalus
+ */
+ public static CSPRNG_DO_NOT_USE generate(int aBitSize, Random aRandom){
+ // First use the internal, stock "true" random number
+ // generator to get a "true random seed"
+ SecureRandom r = Utils.generateSecureRandom();
+ r.nextInt(); // need to do something for SR to be triggered.
+ // Use this seed to generate a n-value for Blum-Blum-Shub
+ // This value can be re-used if desired.
+ int bitsize = aBitSize;
+ // now create an instance of BlumBlumShub
+ // do everything almost automatically
+ CSPRNG_DO_NOT_USE bbs = new CSPRNG_DO_NOT_USE(bitsize, aRandom);
+ return bbs;
+ }
+
+}