LeoTask-master/leotask/src/core/org/leores/math/rand/MersenneTwisterFast.java
package org.leores.math.rand;

import java.io.*;
import java.util.*;

/**
 * <h3>MersenneTwister and MersenneTwisterFast</h3>
 * <p>
 * <b>Version 20</b>, based on version MT199937(99/10/29) of the Mersenne
 * Twister algorithm found at <a
 * href="http://www.math.keio.ac.jp/matumoto/emt.html"> The Mersenne Twister
 * Home Page</a>, with the initialization improved using the new 2002/1/26
 * initialization algorithm By Sean Luke, October 2004.
 * 
 * <p>
 * <b>MersenneTwister</b> is a drop-in subclass replacement for
 * java.util.Random. It is properly synchronized and can be used in a
 * multithreaded environment. On modern VMs such as HotSpot, it is approximately
 * 1/3 slower than java.util.Random.
 * 
 * <p>
 * <b>MersenneTwisterFast</b> is not a subclass of java.util.Random. It has the
 * same public methods as Random does, however, and it is algorithmically
 * identical to MersenneTwister. MersenneTwisterFast has hard-code inlined all
 * of its methods directly, and made all of them final (well, the ones of
 * consequence anyway). Further, these methods are <i>not</i> synchronized, so
 * the same MersenneTwisterFast instance cannot be shared by multiple threads.
 * But all this helps MersenneTwisterFast achieve well over twice the speed of
 * MersenneTwister. java.util.Random is about 1/3 slower than
 * MersenneTwisterFast.
 * 
 * <h3>About the Mersenne Twister</h3>
 * <p>
 * This is a Java version of the C-program for MT19937: Integer version. The
 * MT19937 algorithm was created by Makoto Matsumoto and Takuji Nishimura, who
 * ask: "When you use this, send an email to: matumoto@math.keio.ac.jp with an
 * appropriate reference to your work". Indicate that this is a translation of
 * their algorithm into Java.
 * 
 * <p>
 * <b>Reference. </b> Makato Matsumoto and Takuji Nishimura, "Mersenne Twister:
 * A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator",
 * <i>ACM Transactions on Modeling and. Computer Simulation,</i> Vol. 8, No. 1,
 * January 1998, pp 3--30.
 * 
 * <h3>About this Version</h3>
 * 
 * <p>
 * <b>Changes since V19:</b> nextFloat(boolean, boolean) now returns float, not
 * double.
 * 
 * <p>
 * <b>Changes since V18:</b> Removed old final declarations, which used to
 * potentially speed up the code, but no longer.
 * 
 * <p>
 * <b>Changes since V17:</b> Removed vestigial references to &= 0xffffffff which
 * stemmed from the original C code. The C code could not guarantee that ints
 * were 32 bit, hence the masks. The vestigial references in the Java code were
 * likely optimized out anyway.
 * 
 * <p>
 * <b>Changes since V16:</b> Added nextDouble(includeZero, includeOne) and
 * nextFloat(includeZero, includeOne) to allow for half-open, fully-closed, and
 * fully-open intervals.
 * 
 * <p>
 * <b>Changes Since V15:</b> Added serialVersionUID to quiet compiler warnings
 * from Sun's overly verbose compilers as of JDK 1.5.
 * 
 * <p>
 * <b>Changes Since V14:</b> made strictfp, with StrictMath.log and
 * StrictMath.sqrt in nextGaussian instead of Math.log and Math.sqrt. This is
 * largely just to be safe, as it presently makes no difference in the speed,
 * correctness, or results of the algorithm.
 * 
 * <p>
 * <b>Changes Since V13:</b> clone() method CloneNotSupportedException removed.
 * 
 * <p>
 * <b>Changes Since V12:</b> clone() method added.
 * 
 * <p>
 * <b>Changes Since V11:</b> stateEquals(...) method added. MersenneTwisterFast
 * is equal to other MersenneTwisterFasts with identical state; likewise
 * MersenneTwister is equal to other MersenneTwister with identical state. This
 * isn't equals(...) because that requires a contract of immutability to compare
 * by value.
 * 
 * <p>
 * <b>Changes Since V10:</b> A documentation error suggested that setSeed(int[])
 * required an int[] array 624 long. In fact, the array can be any non-zero
 * length. The new version also checks for this fact.
 * 
 * <p>
 * <b>Changes Since V9:</b> readState(stream) and writeState(stream) provided.
 * 
 * <p>
 * <b>Changes Since V8:</b> setSeed(int) was only using the first 28 bits of the
 * seed; it should have been 32 bits. For small-number seeds the behavior is
 * identical.
 * 
 * <p>
 * <b>Changes Since V7:</b> A documentation error in MersenneTwisterFast (but
 * not MersenneTwister) stated that nextDouble selects uniformly from the
 * full-open interval [0,1]. It does not. nextDouble's contract is identical
 * across MersenneTwisterFast, MersenneTwister, and java.util.Random, namely,
 * selection in the half-open interval [0,1). That is, 1.0 should not be
 * returned. A similar contract exists in nextFloat.
 * 
 * <p>
 * <b>Changes Since V6:</b> License has changed from LGPL to BSD. New timing
 * information to compare against java.util.Random. Recent versions of HotSpot
 * have helped Random increase in speed to the point where it is faster than
 * MersenneTwister but slower than MersenneTwisterFast (which should be the
 * case, as it's a less complex algorithm but is synchronized).
 * 
 * <p>
 * <b>Changes Since V5:</b> New empty constructor made to work the same as
 * java.util.Random -- namely, it seeds based on the current time in
 * milliseconds.
 * 
 * <p>
 * <b>Changes Since V4:</b> New initialization algorithms. See (see <a
 * href="http://www.math.keio.ac.jp/matumoto/MT2002/emt19937ar.html"</a>
 * http://www.math.keio.ac.jp/matumoto/MT2002/emt19937ar.html</a>)
 * 
 * <p>
 * The MersenneTwister code is based on standard MT19937 C/C++ code by Takuji
 * Nishimura, with suggestions from Topher Cooper and Marc Rieffel, July 1997.
 * The code was originally translated into Java by Michael Lecuyer, January
 * 1999, and the original code is Copyright (c) 1999 by Michael Lecuyer.
 * 
 * <h3>Java notes</h3>
 * 
 * <p>
 * This implementation implements the bug fixes made in Java 1.2's version of
 * Random, which means it can be used with earlier versions of Java. See <a
 * href=
 * "http://www.javasoft.com/products/jdk/1.2/docs/api/java/util/Random.html">
 * the JDK 1.2 java.util.Random documentation</a> for further documentation on
 * the random-number generation contracts made. Additionally, there's an
 * undocumented bug in the JDK java.util.Random.nextBytes() method, which this
 * code fixes.
 * 
 * <p>
 * Just like java.util.Random, this generator accepts a long seed but doesn't
 * use all of it. java.util.Random uses 48 bits. The Mersenne Twister instead
 * uses 32 bits (int size). So it's best if your seed does not exceed the int
 * range.
 * 
 * <p>
 * MersenneTwister can be used reliably on JDK version 1.1.5 or above. Earlier
 * Java versions have serious bugs in java.util.Random; only MersenneTwisterFast
 * (and not MersenneTwister nor java.util.Random) should be used with them.
 * 
 * <h3>License</h3>
 * 
 * Copyright (c) 2003 by Sean Luke. <br>
 * Portions copyright (c) 1993 by Michael Lecuyer. <br>
 * All rights reserved. <br>
 * 
 * <p>
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 * <ul>
 * <li>Redistributions of source code must retain the above copyright notice,
 * this list of conditions and the following disclaimer.
 * <li>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.
 * <li>Neither the name of the copyright owners, their employers, nor the names
 * of its contributors may be used to endorse or promote products derived from
 * this software without specific prior written permission.
 * </ul>
 * <p>
 * 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 OWNERS 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.
 * 
 * @version 20
 */

// Note: this class is hard-inlined in all of its methods.  This makes some of
// the methods well-nigh unreadable in their complexity.  In fact, the Mersenne
// Twister is fairly easy code to understand: if you're trying to get a handle
// on the code, I strongly suggest looking at MersenneTwister.java first.
// -- Sean

public strictfp class MersenneTwisterFast extends RandomEngine {
	// Serialization
	private static final long serialVersionUID = -8219700664442619525L; // locked as of Version 15

	// Period parameters
	private static final int N = 624;
	private static final int M = 397;
	private static final int MATRIX_A = 0x9908b0df; //    private static final * constant vector a
	private static final int UPPER_MASK = 0x80000000; // most significant w-r bits
	private static final int LOWER_MASK = 0x7fffffff; // least significant r bits

	// Tempering parameters
	private static final int TEMPERING_MASK_B = 0x9d2c5680;
	private static final int TEMPERING_MASK_C = 0xefc60000;

	private int mt[]; // the array for the state vector
	private int mti; // mti==N+1 means mt[N] is not initialized
	private int mag01[];

	// a good initial seed (of int size, though stored in a long)
	//private static final long GOOD_SEED = 4357;

	private double __nextNextGaussian;
	private boolean __haveNextNextGaussian;

	/* We're overriding all internal data, to my knowledge, so this should be okay */
	public Object clone() {
		MersenneTwisterFast f = (MersenneTwisterFast) (super.clone());
		f.mt = (int[]) (mt.clone());
		f.mag01 = (int[]) (mag01.clone());
		return f; // should never happen
	}

	public boolean stateEquals(Object o) {
		if (o == this)
			return true;
		if (o == null || !(o instanceof MersenneTwisterFast))
			return false;
		MersenneTwisterFast other = (MersenneTwisterFast) o;
		if (mti != other.mti)
			return false;
		for (int x = 0; x < mag01.length; x++)
			if (mag01[x] != other.mag01[x])
				return false;
		for (int x = 0; x < mt.length; x++)
			if (mt[x] != other.mt[x])
				return false;
		return true;
	}

	/** Reads the entire state of the MersenneTwister RNG from the stream */
	public void readState(DataInputStream stream) throws IOException {
		int len = mt.length;
		for (int x = 0; x < len; x++)
			mt[x] = stream.readInt();

		len = mag01.length;
		for (int x = 0; x < len; x++)
			mag01[x] = stream.readInt();

		mti = stream.readInt();
		__nextNextGaussian = stream.readDouble();
		__haveNextNextGaussian = stream.readBoolean();
	}

	/** Writes the entire state of the MersenneTwister RNG to the stream */
	public void writeState(DataOutputStream stream) throws IOException {
		int len = mt.length;
		for (int x = 0; x < len; x++)
			stream.writeInt(mt[x]);

		len = mag01.length;
		for (int x = 0; x < len; x++)
			stream.writeInt(mag01[x]);

		stream.writeInt(mti);
		stream.writeDouble(__nextNextGaussian);
		stream.writeBoolean(__haveNextNextGaussian);
	}

	/**
	 * Constructor using the default seed.
	 */
	public MersenneTwisterFast() {
		this(System.currentTimeMillis());
	}

	/**
	 * Constructor using a given seed. Though you pass this seed in
	 * as a long, it's best to make sure it's actually an integer.
	 * 
	 */
	public MersenneTwisterFast(long seed) {
		setSeed(seed);
	}

	/**
	 * Constructor using an array of integers as seed.
	 * Your array must have a non-zero length. Only the first 624 integers
	 * in the array are used; if the array is shorter than this then
	 * integers are repeatedly used in a wrap-around fashion.
	 */
	public MersenneTwisterFast(int[] array) {
		setSeed(array);
	}

	/**
	 * Initalize the pseudo random number generator. Don't
	 * pass in a long that's bigger than an int (Mersenne Twister
	 * only uses the first 32 bits for its seed).
	 */

	synchronized public void setSeed(long seed) {
		// Due to a bug in java.util.Random clear up to 1.2, we're
		// doing our own Gaussian variable.
		__haveNextNextGaussian = false;

		mt = new int[N];

		mag01 = new int[2];
		mag01[0] = 0x0;
		mag01[1] = MATRIX_A;

		mt[0] = (int) (seed & 0xffffffff);
		for (mti = 1; mti < N; mti++) {
			mt[mti] = (1812433253 * (mt[mti - 1] ^ (mt[mti - 1] >>> 30)) + mti);
			/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
			/* In the previous versions, MSBs of the seed affect   */
			/* only MSBs of the array mt[].                        */
			/* 2002/01/09 modified by Makoto Matsumoto             */
			// mt[mti] &= 0xffffffff;
			/* for >32 bit machines */
		}
	}

	/**
	 * Sets the seed of the MersenneTwister using an array of integers.
	 * Your array must have a non-zero length. Only the first 624 integers
	 * in the array are used; if the array is shorter than this then
	 * integers are repeatedly used in a wrap-around fashion.
	 */

	synchronized public void setSeed(int[] array) {
		if (array.length == 0)
			throw new IllegalArgumentException("Array length must be greater than zero");
		int i, j, k;
		setSeed(19650218);
		i = 1;
		j = 0;
		k = (N > array.length ? N : array.length);
		for (; k != 0; k--) {
			mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >>> 30)) * 1664525)) + array[j] + j; /* non linear */
			// mt[i] &= 0xffffffff; /* for WORDSIZE > 32 machines */
			i++;
			j++;
			if (i >= N) {
				mt[0] = mt[N - 1];
				i = 1;
			}
			if (j >= array.length)
				j = 0;
		}
		for (k = N - 1; k != 0; k--) {
			mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >>> 30)) * 1566083941)) - i; /* non linear */
			// mt[i] &= 0xffffffff; /* for WORDSIZE > 32 machines */
			i++;
			if (i >= N) {
				mt[0] = mt[N - 1];
				i = 1;
			}
		}
		mt[0] = 0x80000000; /* MSB is 1; assuring non-zero initial array */
	}

	public int nextInt() {
		int y;

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		return y;
	}

	public short nextShort() {
		int y;

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		return (short) (y >>> 16);
	}

	public char nextChar() {
		int y;

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		return (char) (y >>> 16);
	}

	public boolean nextBoolean() {
		int y;

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		return (boolean) ((y >>> 31) != 0);
	}

	/**
	 * This generates a coin flip with a probability <tt>probability</tt> of
	 * returning true, else returning false. <tt>probability</tt> must
	 * be between 0.0 and 1.0, inclusive. Not as precise a random real
	 * event as nextBoolean(double), but twice as fast. To explicitly
	 * use this, remember you may need to cast to float first.
	 */

	public boolean nextBoolean(float probability) {
		int y;

		if (probability < 0.0f || probability > 1.0f)
			throw new IllegalArgumentException("probability must be between 0.0 and 1.0 inclusive.");
		if (probability == 0.0f)
			return false; // fix half-open issues
		else if (probability == 1.0f)
			return true; // fix half-open issues
		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		return (y >>> 8) / ((float) (1 << 24)) < probability;
	}

	/**
	 * This generates a coin flip with a probability <tt>probability</tt> of
	 * returning true, else returning false. <tt>probability</tt> must
	 * be between 0.0 and 1.0, inclusive.
	 */

	public boolean nextBoolean(double probability) {
		int y;
		int z;

		if (probability < 0.0 || probability > 1.0)
			throw new IllegalArgumentException("probability must be between 0.0 and 1.0 inclusive.");
		if (probability == 0.0)
			return false; // fix half-open issues
		else if (probability == 1.0)
			return true; // fix half-open issues
		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (z >>> 1) ^ mag01[z & 0x1];
			}
			for (; kk < N - 1; kk++) {
				z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (z >>> 1) ^ mag01[z & 0x1];
			}
			z = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (z >>> 1) ^ mag01[z & 0x1];

			mti = 0;
		}

		z = mt[mti++];
		z ^= z >>> 11; // TEMPERING_SHIFT_U(z)
		z ^= (z << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(z)
		z ^= (z << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(z)
		z ^= (z >>> 18); // TEMPERING_SHIFT_L(z)

		/* derived from nextDouble documentation in jdk 1.2 docs, see top */
		return ((((long) (y >>> 6)) << 27) + (z >>> 5)) / (double) (1L << 53) < probability;
	}

	public byte nextByte() {
		int y;

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		return (byte) (y >>> 24);
	}

	public void nextBytes(byte[] bytes) {
		int y;

		for (int x = 0; x < bytes.length; x++) {
			if (mti >= N) // generate N words at one time
			{
				int kk;
				final int[] mt = this.mt; // locals are slightly faster 
				final int[] mag01 = this.mag01; // locals are slightly faster 

				for (kk = 0; kk < N - M; kk++) {
					y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
				}
				for (; kk < N - 1; kk++) {
					y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
				}
				y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
				mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

				mti = 0;
			}

			y = mt[mti++];
			y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
			y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
			y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
			y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

			bytes[x] = (byte) (y >>> 24);
		}
	}

	public long nextLong() {
		int y;
		int z;

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (z >>> 1) ^ mag01[z & 0x1];
			}
			for (; kk < N - 1; kk++) {
				z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (z >>> 1) ^ mag01[z & 0x1];
			}
			z = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (z >>> 1) ^ mag01[z & 0x1];

			mti = 0;
		}

		z = mt[mti++];
		z ^= z >>> 11; // TEMPERING_SHIFT_U(z)
		z ^= (z << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(z)
		z ^= (z << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(z)
		z ^= (z >>> 18); // TEMPERING_SHIFT_L(z)

		return (((long) y) << 32) + (long) z;
	}

	/**
	 * Returns a long drawn uniformly from 0 to n-1. Suffice it to say,
	 * n must be > 0, or an IllegalArgumentException is raised.
	 */
	public long nextLong(long n) {
		if (n <= 0)
			throw new IllegalArgumentException("n must be positive, got: " + n);

		long bits, val;
		do {
			int y;
			int z;

			if (mti >= N) // generate N words at one time
			{
				int kk;
				final int[] mt = this.mt; // locals are slightly faster 
				final int[] mag01 = this.mag01; // locals are slightly faster 

				for (kk = 0; kk < N - M; kk++) {
					y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
				}
				for (; kk < N - 1; kk++) {
					y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
				}
				y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
				mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

				mti = 0;
			}

			y = mt[mti++];
			y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
			y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
			y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
			y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

			if (mti >= N) // generate N words at one time
			{
				int kk;
				final int[] mt = this.mt; // locals are slightly faster 
				final int[] mag01 = this.mag01; // locals are slightly faster 

				for (kk = 0; kk < N - M; kk++) {
					z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + M] ^ (z >>> 1) ^ mag01[z & 0x1];
				}
				for (; kk < N - 1; kk++) {
					z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + (M - N)] ^ (z >>> 1) ^ mag01[z & 0x1];
				}
				z = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
				mt[N - 1] = mt[M - 1] ^ (z >>> 1) ^ mag01[z & 0x1];

				mti = 0;
			}

			z = mt[mti++];
			z ^= z >>> 11; // TEMPERING_SHIFT_U(z)
			z ^= (z << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(z)
			z ^= (z << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(z)
			z ^= (z >>> 18); // TEMPERING_SHIFT_L(z)

			bits = (((((long) y) << 32) + (long) z) >>> 1);
			val = bits % n;
		} while (bits - val + (n - 1) < 0);
		return val;
	}

	/**
	 * Returns a random double in the half-open range from [0.0,1.0). Thus 0.0
	 * is a valid
	 * result but 1.0 is not.
	 */
	public double nextDouble() {
		int y;
		int z;

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (z >>> 1) ^ mag01[z & 0x1];
			}
			for (; kk < N - 1; kk++) {
				z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (z >>> 1) ^ mag01[z & 0x1];
			}
			z = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (z >>> 1) ^ mag01[z & 0x1];

			mti = 0;
		}

		z = mt[mti++];
		z ^= z >>> 11; // TEMPERING_SHIFT_U(z)
		z ^= (z << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(z)
		z ^= (z << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(z)
		z ^= (z >>> 18); // TEMPERING_SHIFT_L(z)

		/* derived from nextDouble documentation in jdk 1.2 docs, see top */
		return ((((long) (y >>> 6)) << 27) + (z >>> 5)) / (double) (1L << 53);
	}

	/**
	 * Returns a double in the range from 0.0 to 1.0, possibly inclusive of 0.0
	 * and 1.0 themselves. Thus:
	 * 
	 * <p>
	 * <table border=0>
	 * <th>
	 * <td>Expression
	 * <td>Interval
	 * <tr>
	 * <td>nextDouble(false, false)
	 * <td>(0.0, 1.0)
	 * <tr>
	 * <td>nextDouble(true, false)
	 * <td>[0.0, 1.0)
	 * <tr>
	 * <td>nextDouble(false, true)
	 * <td>(0.0, 1.0]
	 * <tr>
	 * <td>nextDouble(true, true)
	 * <td>[0.0, 1.0]
	 * </table>
	 * 
	 * <p>
	 * This version preserves all possible random values in the double range.
	 */
	public double nextDouble(boolean includeZero, boolean includeOne) {
		double d = 0.0;
		do {
			d = nextDouble(); // grab a value, initially from half-open [0.0, 1.0)
			if (includeOne && nextBoolean())
				d += 1.0; // if includeOne, with 1/2 probability, push to [1.0, 2.0)
		} while ((d > 1.0) || // everything above 1.0 is always invalid
				(!includeZero && d == 0.0)); // if we're not including zero, 0.0 is invalid
		return d;
	}

	public double nextGaussian() {
		if (__haveNextNextGaussian) {
			__haveNextNextGaussian = false;
			return __nextNextGaussian;
		} else {
			double v1, v2, s;
			do {
				int y;
				int z;
				int a;
				int b;

				if (mti >= N) // generate N words at one time
				{
					int kk;
					final int[] mt = this.mt; // locals are slightly faster 
					final int[] mag01 = this.mag01; // locals are slightly faster 

					for (kk = 0; kk < N - M; kk++) {
						y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
						mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
					}
					for (; kk < N - 1; kk++) {
						y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
						mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
					}
					y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
					mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

					mti = 0;
				}

				y = mt[mti++];
				y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
				y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
				y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
				y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

				if (mti >= N) // generate N words at one time
				{
					int kk;
					final int[] mt = this.mt; // locals are slightly faster 
					final int[] mag01 = this.mag01; // locals are slightly faster 

					for (kk = 0; kk < N - M; kk++) {
						z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
						mt[kk] = mt[kk + M] ^ (z >>> 1) ^ mag01[z & 0x1];
					}
					for (; kk < N - 1; kk++) {
						z = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
						mt[kk] = mt[kk + (M - N)] ^ (z >>> 1) ^ mag01[z & 0x1];
					}
					z = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
					mt[N - 1] = mt[M - 1] ^ (z >>> 1) ^ mag01[z & 0x1];

					mti = 0;
				}

				z = mt[mti++];
				z ^= z >>> 11; // TEMPERING_SHIFT_U(z)
				z ^= (z << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(z)
				z ^= (z << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(z)
				z ^= (z >>> 18); // TEMPERING_SHIFT_L(z)

				if (mti >= N) // generate N words at one time
				{
					int kk;
					final int[] mt = this.mt; // locals are slightly faster 
					final int[] mag01 = this.mag01; // locals are slightly faster 

					for (kk = 0; kk < N - M; kk++) {
						a = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
						mt[kk] = mt[kk + M] ^ (a >>> 1) ^ mag01[a & 0x1];
					}
					for (; kk < N - 1; kk++) {
						a = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
						mt[kk] = mt[kk + (M - N)] ^ (a >>> 1) ^ mag01[a & 0x1];
					}
					a = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
					mt[N - 1] = mt[M - 1] ^ (a >>> 1) ^ mag01[a & 0x1];

					mti = 0;
				}

				a = mt[mti++];
				a ^= a >>> 11; // TEMPERING_SHIFT_U(a)
				a ^= (a << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(a)
				a ^= (a << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(a)
				a ^= (a >>> 18); // TEMPERING_SHIFT_L(a)

				if (mti >= N) // generate N words at one time
				{
					int kk;
					final int[] mt = this.mt; // locals are slightly faster 
					final int[] mag01 = this.mag01; // locals are slightly faster 

					for (kk = 0; kk < N - M; kk++) {
						b = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
						mt[kk] = mt[kk + M] ^ (b >>> 1) ^ mag01[b & 0x1];
					}
					for (; kk < N - 1; kk++) {
						b = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
						mt[kk] = mt[kk + (M - N)] ^ (b >>> 1) ^ mag01[b & 0x1];
					}
					b = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
					mt[N - 1] = mt[M - 1] ^ (b >>> 1) ^ mag01[b & 0x1];

					mti = 0;
				}

				b = mt[mti++];
				b ^= b >>> 11; // TEMPERING_SHIFT_U(b)
				b ^= (b << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(b)
				b ^= (b << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(b)
				b ^= (b >>> 18); // TEMPERING_SHIFT_L(b)

				/* derived from nextDouble documentation in jdk 1.2 docs, see top */
				v1 = 2 * (((((long) (y >>> 6)) << 27) + (z >>> 5)) / (double) (1L << 53)) - 1;
				v2 = 2 * (((((long) (a >>> 6)) << 27) + (b >>> 5)) / (double) (1L << 53)) - 1;
				s = v1 * v1 + v2 * v2;
			} while (s >= 1 || s == 0);
			double multiplier = StrictMath.sqrt(-2 * StrictMath.log(s) / s);
			__nextNextGaussian = v2 * multiplier;
			__haveNextNextGaussian = true;
			return v1 * multiplier;
		}
	}

	/**
	 * Returns a random float in the half-open range from [0.0f,1.0f). Thus 0.0f
	 * is a valid
	 * result but 1.0f is not.
	 */
	public float nextFloat() {
		int y;

		if (mti >= N) // generate N words at one time
		{
			int kk;
			final int[] mt = this.mt; // locals are slightly faster 
			final int[] mag01 = this.mag01; // locals are slightly faster 

			for (kk = 0; kk < N - M; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			for (; kk < N - 1; kk++) {
				y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
				mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
			}
			y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
			mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

			mti = 0;
		}

		y = mt[mti++];
		y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
		y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
		y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
		y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

		return (y >>> 8) / ((float) (1 << 24));
	}

	/**
	 * Returns a float in the range from 0.0f to 1.0f, possibly inclusive of
	 * 0.0f and 1.0f themselves. Thus:
	 * 
	 * <p>
	 * <table border=0>
	 * <th>
	 * <td>Expression
	 * <td>Interval
	 * <tr>
	 * <td>nextFloat(false, false)
	 * <td>(0.0f, 1.0f)
	 * <tr>
	 * <td>nextFloat(true, false)
	 * <td>[0.0f, 1.0f)
	 * <tr>
	 * <td>nextFloat(false, true)
	 * <td>(0.0f, 1.0f]
	 * <tr>
	 * <td>nextFloat(true, true)
	 * <td>[0.0f, 1.0f]
	 * </table>
	 * 
	 * <p>
	 * This version preserves all possible random values in the float range.
	 */
	public float nextFloat(boolean includeZero, boolean includeOne) {
		float d = 0.0f;
		do {
			d = nextFloat(); // grab a value, initially from half-open [0.0f, 1.0f)
			if (includeOne && nextBoolean())
				d += 1.0f; // if includeOne, with 1/2 probability, push to [1.0f, 2.0f)
		} while ((d > 1.0f) || // everything above 1.0f is always invalid
				(!includeZero && d == 0.0f)); // if we're not including zero, 0.0f is invalid
		return d;
	}

	/**
	 * Returns an integer drawn uniformly from 0 to n-1. Suffice it to say,
	 * n must be > 0, or an IllegalArgumentException is raised.
	 */
	public int nextInt(int n) {
		if (n <= 0)
			throw new IllegalArgumentException("n must be positive, got: " + n);

		if ((n & -n) == n) // i.e., n is a power of 2
		{
			int y;

			if (mti >= N) // generate N words at one time
			{
				int kk;
				final int[] mt = this.mt; // locals are slightly faster 
				final int[] mag01 = this.mag01; // locals are slightly faster 

				for (kk = 0; kk < N - M; kk++) {
					y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
				}
				for (; kk < N - 1; kk++) {
					y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
				}
				y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
				mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

				mti = 0;
			}

			y = mt[mti++];
			y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
			y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
			y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
			y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

			return (int) ((n * (long) (y >>> 1)) >> 31);
		}

		int bits, val;
		do {
			int y;

			if (mti >= N) // generate N words at one time
			{
				int kk;
				final int[] mt = this.mt; // locals are slightly faster 
				final int[] mag01 = this.mag01; // locals are slightly faster 

				for (kk = 0; kk < N - M; kk++) {
					y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + M] ^ (y >>> 1) ^ mag01[y & 0x1];
				}
				for (; kk < N - 1; kk++) {
					y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
					mt[kk] = mt[kk + (M - N)] ^ (y >>> 1) ^ mag01[y & 0x1];
				}
				y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
				mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ mag01[y & 0x1];

				mti = 0;
			}

			y = mt[mti++];
			y ^= y >>> 11; // TEMPERING_SHIFT_U(y)
			y ^= (y << 7) & TEMPERING_MASK_B; // TEMPERING_SHIFT_S(y)
			y ^= (y << 15) & TEMPERING_MASK_C; // TEMPERING_SHIFT_T(y)
			y ^= (y >>> 18); // TEMPERING_SHIFT_L(y)

			bits = (y >>> 1);
			val = bits % n;
		} while (bits - val + (n - 1) < 0);
		return val;
	}

	/**
	 * Tests the code.
	 */
	public static void main(String args[]) {
		int j;

		MersenneTwisterFast r;

		// CORRECTNESS TEST
		// COMPARE WITH http://www.math.keio.ac.jp/matumoto/CODES/MT2002/mt19937ar.out

		r = new MersenneTwisterFast(new int[] { 0x123, 0x234, 0x345, 0x456 });
		System.out.println("Output of MersenneTwisterFast with new (2002/1/26) seeding mechanism");
		for (j = 0; j < 1000; j++) {
			// first, convert the int from signed to "unsigned"
			long l = (long) r.nextInt();
			if (l < 0)
				l += 4294967296L; // max int value
			String s = String.valueOf(l);
			while (s.length() < 10)
				s = " " + s; // buffer
			System.out.print(s + " ");
			if (j % 5 == 4)
				System.out.println();
		}

		// SPEED TEST

		final long SEED = 4357;

		int xx;
		long ms;
		System.out.println("\nTime to test grabbing 100000000 ints");

		Random rr = new Random(SEED);
		xx = 0;
		ms = System.currentTimeMillis();
		for (j = 0; j < 100000000; j++)
			xx += rr.nextInt();
		System.out.println("java.util.Random: " + (System.currentTimeMillis() - ms) + "          Ignore this: " + xx);

		r = new MersenneTwisterFast(SEED);
		ms = System.currentTimeMillis();
		xx = 0;
		for (j = 0; j < 100000000; j++)
			xx += r.nextInt();
		System.out.println("Mersenne Twister Fast: " + (System.currentTimeMillis() - ms) + "          Ignore this: " + xx);

		// TEST TO COMPARE TYPE CONVERSION BETWEEN
		// MersenneTwisterFast.java AND MersenneTwister.java

		System.out.println("\nGrab the first 1000 booleans");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextBoolean() + " ");
			if (j % 8 == 7)
				System.out.println();
		}
		if (!(j % 8 == 7))
			System.out.println();

		System.out.println("\nGrab 1000 booleans of increasing probability using nextBoolean(double)");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextBoolean((double) (j / 999.0)) + " ");
			if (j % 8 == 7)
				System.out.println();
		}
		if (!(j % 8 == 7))
			System.out.println();

		System.out.println("\nGrab 1000 booleans of increasing probability using nextBoolean(float)");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextBoolean((float) (j / 999.0f)) + " ");
			if (j % 8 == 7)
				System.out.println();
		}
		if (!(j % 8 == 7))
			System.out.println();

		byte[] bytes = new byte[1000];
		System.out.println("\nGrab the first 1000 bytes using nextBytes");
		r = new MersenneTwisterFast(SEED);
		r.nextBytes(bytes);
		for (j = 0; j < 1000; j++) {
			System.out.print(bytes[j] + " ");
			if (j % 16 == 15)
				System.out.println();
		}
		if (!(j % 16 == 15))
			System.out.println();

		byte b;
		System.out.println("\nGrab the first 1000 bytes -- must be same as nextBytes");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print((b = r.nextByte()) + " ");
			if (b != bytes[j])
				System.out.print("BAD ");
			if (j % 16 == 15)
				System.out.println();
		}
		if (!(j % 16 == 15))
			System.out.println();

		System.out.println("\nGrab the first 1000 shorts");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextShort() + " ");
			if (j % 8 == 7)
				System.out.println();
		}
		if (!(j % 8 == 7))
			System.out.println();

		System.out.println("\nGrab the first 1000 ints");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextInt() + " ");
			if (j % 4 == 3)
				System.out.println();
		}
		if (!(j % 4 == 3))
			System.out.println();

		System.out.println("\nGrab the first 1000 ints of different sizes");
		r = new MersenneTwisterFast(SEED);
		int max = 1;
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextInt(max) + " ");
			max *= 2;
			if (max <= 0)
				max = 1;
			if (j % 4 == 3)
				System.out.println();
		}
		if (!(j % 4 == 3))
			System.out.println();

		System.out.println("\nGrab the first 1000 longs");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextLong() + " ");
			if (j % 3 == 2)
				System.out.println();
		}
		if (!(j % 3 == 2))
			System.out.println();

		System.out.println("\nGrab the first 1000 longs of different sizes");
		r = new MersenneTwisterFast(SEED);
		long max2 = 1;
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextLong(max2) + " ");
			max2 *= 2;
			if (max2 <= 0)
				max2 = 1;
			if (j % 4 == 3)
				System.out.println();
		}
		if (!(j % 4 == 3))
			System.out.println();

		System.out.println("\nGrab the first 1000 floats");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextFloat() + " ");
			if (j % 4 == 3)
				System.out.println();
		}
		if (!(j % 4 == 3))
			System.out.println();

		System.out.println("\nGrab the first 1000 doubles");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextDouble() + " ");
			if (j % 3 == 2)
				System.out.println();
		}
		if (!(j % 3 == 2))
			System.out.println();

		System.out.println("\nGrab the first 1000 gaussian doubles");
		r = new MersenneTwisterFast(SEED);
		for (j = 0; j < 1000; j++) {
			System.out.print(r.nextGaussian() + " ");
			if (j % 3 == 2)
				System.out.println();
		}
		if (!(j % 3 == 2))
			System.out.println();

	}
}
