diff options
Diffstat (limited to 'src/Java/gtPlusPlus/api/objects/random')
-rw-r--r-- | src/Java/gtPlusPlus/api/objects/random/CSPRNG_DO_NOT_USE.java | 271 | ||||
-rw-r--r-- | src/Java/gtPlusPlus/api/objects/random/XSTR.java | 266 |
2 files changed, 537 insertions, 0 deletions
diff --git a/src/Java/gtPlusPlus/api/objects/random/CSPRNG_DO_NOT_USE.java b/src/Java/gtPlusPlus/api/objects/random/CSPRNG_DO_NOT_USE.java new file mode 100644 index 0000000000..b2dc984456 --- /dev/null +++ b/src/Java/gtPlusPlus/api/objects/random/CSPRNG_DO_NOT_USE.java @@ -0,0 +1,271 @@ +/* + * 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.random; +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> ≠ <i>q</i>, <i>p</i> ≡ 3 mod 4, <i>q</i> ≡ 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; + } + +} diff --git a/src/Java/gtPlusPlus/api/objects/random/XSTR.java b/src/Java/gtPlusPlus/api/objects/random/XSTR.java new file mode 100644 index 0000000000..7f83df52c4 --- /dev/null +++ b/src/Java/gtPlusPlus/api/objects/random/XSTR.java @@ -0,0 +1,266 @@ +package gtPlusPlus.api.objects.random; +/** + * A subclass of java.util.random that implements the Xorshift random number + * generator + * + * - it is 30% faster than the generator from Java's library - it produces + * random sequences of higher quality than java.util.Random - this class also + * provides a clone() function + * + * Usage: XSRandom rand = new XSRandom(); //Instantiation x = rand.nextInt(); + * //pull a random number + * + * To use the class in legacy code, you may also instantiate an XSRandom object + * and assign it to a java.util.Random object: java.util.Random rand = new + * XSRandom(); + * + * for an explanation of the algorithm, see + * http://demesos.blogspot.com/2011/09/pseudo-random-number-generators.html + * + * @author Wilfried Elmenreich University of Klagenfurt/Lakeside Labs + * http://www.elmenreich.tk + * + * This code is released under the GNU Lesser General Public License Version 3 + * http://www.gnu.org/licenses/lgpl-3.0.txt + */ + +import java.util.Random; +import java.util.concurrent.atomic.AtomicLong; + +/** + * XSTR - Xorshift ThermiteRandom + * Modified by Bogdan-G + * 03.06.2016 + * version 0.0.4 + */ +public class XSTR extends Random { + + private static final long serialVersionUID = 6208727693524452904L; + private long seed; + private long last; + private static final long GAMMA = 0x9e3779b97f4a7c15L; + private static final int PROBE_INCREMENT = 0x9e3779b9; + private static final long SEEDER_INCREMENT = 0xbb67ae8584caa73bL; + private static final double DOUBLE_UNIT = 0x1.0p-53; // 1.0 / (1L << 53) + private static final float FLOAT_UNIT = 0x1.0p-24f; // 1.0f / (1 << 24) + + /* + MODIFIED BY: Robotia + Modification: Implemented Random class seed generator + */ + /** + * Creates a new pseudo random number generator. The seed is initialized to + * the current time, as if by + * <code>setSeed(System.currentTimeMillis());</code>. + */ + public XSTR() { + this(seedUniquifier() ^ System.nanoTime()); + } + private static final AtomicLong seedUniquifier + = new AtomicLong(8682522807148012L); + + private static long seedUniquifier() { + // L'Ecuyer, "Tables of Linear Congruential Generators of + // Different Sizes and Good Lattice Structure", 1999 + for (;;) { + final long current = seedUniquifier.get(); + final long next = current * 181783497276652981L; + if (seedUniquifier.compareAndSet(current, next)) { + return next; + } + } + } + + /** + * Creates a new pseudo random number generator, starting with the specified + * seed, using <code>setSeed(seed);</code>. + * + * @param seed the initial seed + */ + public XSTR(final long seed) { + this.seed = seed; + } + @Override + public boolean nextBoolean() { + return this.next(1) != 0; + } + + @Override + public double nextDouble() { + return (((long)(this.next(26)) << 27) + this.next(27)) * DOUBLE_UNIT; + } + /** + * Returns the current state of the seed, can be used to clone the object + * + * @return the current seed + */ + public synchronized long getSeed() { + return this.seed; + } + + /** + * Sets the seed for this pseudo random number generator. As described + * above, two instances of the same random class, starting with the same + * seed, produce the same results, if the same methods are called. + * + * @param seed the new seed + */ + @Override + public synchronized void setSeed(final long seed) { + this.seed = seed; + } + + /** + * @return Returns an XSRandom object with the same state as the original + */ + @Override + public XSTR clone() { + return new XSTR(this.getSeed()); + } + + /** + * Implementation of George Marsaglia's elegant Xorshift random generator + * 30% faster and better quality than the built-in java.util.random see also + * see http://www.javamex.com/tutorials/random_numbers/xorshift.shtml + * + * @param nbits + * @return + */ + @Override + public int next(final int nbits) { + long x = this.seed; + x ^= (x << 21); + x ^= (x >>> 35); + x ^= (x << 4); + this.seed = x; + x &= ((1L << nbits) - 1); + return (int) x; + } + boolean haveNextNextGaussian = false; + double nextNextGaussian = 0; + @Override + synchronized public double nextGaussian() { + // See Knuth, ACP, Section 3.4.1 Algorithm C. + if (this.haveNextNextGaussian) { + this.haveNextNextGaussian = false; + return this.nextNextGaussian; + } + double v1, v2, s; + do { + v1 = (2 * this.nextDouble()) - 1; // between -1 and 1 + v2 = (2 * this.nextDouble()) - 1; // between -1 and 1 + s = (v1 * v1) + (v2 * v2); + } while ((s >= 1) || (s == 0)); + final double multiplier = StrictMath.sqrt((-2 * StrictMath.log(s))/s); + this.nextNextGaussian = v2 * multiplier; + this.haveNextNextGaussian = true; + return v1 * multiplier; + } + /** + * Returns a pseudorandom, uniformly distributed {@code int} value between 0 + * (inclusive) and the specified value (exclusive), drawn from this random + * number generator's sequence. The general contract of {@code nextInt} is + * that one {@code int} value in the specified range is pseudorandomly + * generated and returned. All {@code bound} possible {@code int} values are + * produced with (approximately) equal probability. The method + * {@code nextInt(int bound)} is implemented by class {@code Random} as if + * by: + * <pre> {@code + * public int nextInt(int bound) { + * if (bound <= 0) + * throw new IllegalArgumentException("bound must be positive"); + * + * if ((bound & -bound) == bound) // i.e., bound is a power of 2 + * return (int)((bound * (long)next(31)) >> 31); + * + * int bits, val; + * do { + * bits = next(31); + * val = bits % bound; + * } while (bits - val + (bound-1) < 0); + * return val; + * }}</pre> + * + * <p>The hedge "approx + * imately" is used in the foregoing description only because the next + * method is only approximately an unbiased source of independently chosen + * bits. If it were a perfect source of randomly chosen bits, then the + * algorithm shown would choose {@code int} values from the stated range + * with perfect uniformity. + * <p> + * The algorithm is slightly tricky. It rejects values that would result in + * an uneven distribution (due to the fact that 2^31 is not divisible by n). + * The probability of a value being rejected depends on n. The worst case is + * n=2^30+1, for which the probability of a reject is 1/2, and the expected + * number of iterations before the loop terminates is 2. + * <p> + * The algorithm treats the case where n is a power of two specially: it + * returns the correct number of high-order bits from the underlying + * pseudo-random number generator. In the absence of special treatment, the + * correct number of <i>low-order</i> bits would be returned. Linear + * congruential pseudo-random number generators such as the one implemented + * by this class are known to have short periods in the sequence of values + * of their low-order bits. Thus, this special case greatly increases the + * length of the sequence of values returned by successive calls to this + * method if n is a small power of two. + * + * @param bound the upper bound (exclusive). Must be positive. + * @return the next pseudorandom, uniformly distributed {@code int} value + * between zero (inclusive) and {@code bound} (exclusive) from this random + * number generator's sequence + * @throws IllegalArgumentException if bound is not positive + * @since 1.2 + */ + @Override + public int nextInt(final int bound) { + //if (bound <= 0) { + //throw new RuntimeException("BadBound"); + //} + + /*int r = next(31); + int m = bound - 1; + if ((bound & m) == 0) // i.e., bound is a power of 2 + { + r = (int) ((bound * (long) r) >> 31); + } else { + for (int u = r; + u - (r = u % bound) + m < 0; + u = next(31)) + ; + } + return r;*/ + //speedup, new nextInt ~+40% + this.last = this.seed ^ (this.seed << 21); + this.last ^= (this.last >>> 35); + this.last ^= (this.last << 4); + this.seed = this.last; + final int out = (int) this.last % bound; + return (out < 0) ? -out : out; + } + @Override + public int nextInt() { + return this.next(32); + } + + @Override + public float nextFloat() { + return this.next(24) * FLOAT_UNIT; + } + + @Override + public long nextLong() { + // it's okay that the bottom word remains signed. + return ((long)(this.next(32)) << 32) + this.next(32); + } + + @Override + public void nextBytes(final byte[] bytes_arr) { + for (int iba = 0, lenba = bytes_arr.length; iba < lenba; ) { + for (int rndba = this.nextInt(), + nba = Math.min(lenba - iba, Integer.SIZE/Byte.SIZE); + nba-- > 0; rndba >>= Byte.SIZE) { + bytes_arr[iba++] = (byte)rndba; + } + } + } +}
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