擬似乱数列発生関数
Javaでシミュレーションをするとする。Mersenne-Twisterを使って擬似乱数列を発生させるときの関数(Mersenne Twister and MersenneTwisterFast)は以下の通り。これは、オリジナルMersenne Twister: A random number generator (since 1997/10)をJavaに変換して、
MersenneTwisterFast公開されたソースである。
使い方は、以下のTestクラスのようにして、正規分布から発生させたり、boolean値を発生させたりする。
Test.class
public class Test {
public static void main(String[] args) {
MersenneTwisterFast r;
r = new MersenneTwisterFast(1);
System.out.println("MersenneTwister 乱数 from 正規分布");
for(int i=0;i<10;i++){
r.nextGaussian(); // loads the later gaussian into the state
System.out.println("Iter: " + i + " "+ r.nextGaussian());
}
System.out.println("MersenneTwister random boolean");
for(int i=0;i<10;i++){
r.nextBoolean();
System.out.println("Iter: " + i + " "+ r.nextBoolean());
}
}
}MersenneTwisterFast.class
import java.io.*;
import java.util.*;
/**
* Mersenne Twister and MersenneTwisterFast:
* <P>
* <b>MersenneTwisterFast</b> is a drop-in subclass replacement
* for java.util.Random. It is properly synchronized and
* can be used in a multithreaded environment.
*
* <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 over twice the speed of MersenneTwister.
*
* <p><b>About the Mersenne Twister. </b>
* This is a Java version of the C-program for MT19937: Integer version.
* next(32) generates one pseudorandom unsigned integer (32bit)
* which is uniformly distributed among 0 to 2^32-1 for each
* call. next(int bits) >>>'s by (32-bits) to get a value ranging
* between 0 and 2^bits-1 long inclusive; hope that's correct.
* setSeed(seed) set initial values to the working area
* of 624 words. For setSeed(seed), seed is any 32-bit integer
* <b>except for 0</b>.
*
* <p>Orignally Coded by Takuji Nishimura, considering the suggestions by
* Topher Cooper and Marc Rieffel in July-Aug. 1997.
* More information can be found
* <A HREF="http://www.math.keio.ac.jp/matumoto/emt.html">
* here. </a>
* <P>
* Translated to Java by Michael Lecuyer January 30, 1999
* Copyright (C) 1999 Michael Lecuyer
* <P>
* This library is free software; you can redistribute it and or
* modify it under the terms of the GNU Library General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later
* version.
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
* See the GNU Library General Public License for more details.
* You should have received a copy of the GNU Library General
* Public License along with this library; if not, write to the
* Free Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
* 02111-1307 USA
* <P>
* Makoto Matsumoto and Takuji Nishimura, the original authors
* ask "When you use this, send an email to: matumoto@math.keio.ac.jp
* with an appropriate reference to your work" You might also point
* out this was a translation.
* <P>
* <b>Reference. </b>
* M. Matsumoto and T. 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.
*
* <p><b>About this version. </b> This is a modification of the
* <a href="http://www.theorem.com/java/index.htm#Mersenne">original
* code</a> made to conform to proper java.util.Random format by
* <a href="http://www.cs.umd.edu/users/seanl/">Sean Luke,</a>
* August 7, 1999.
*
* <p><b>Bug Fixes. </b>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><b>Important Note. </b> 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.
*/
public class MersenneTwisterFast implements Serializable
{
// 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;
// #define TEMPERING_SHIFT_U(y) (y >>> 11)
// #define TEMPERING_SHIFT_S(y) (y << 7)
// #define TEMPERING_SHIFT_T(y) (y << 15)
// #define TEMPERING_SHIFT_L(y) (y >>> 18)
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;
/**
* Constructor using the default seed.
*/
public MersenneTwisterFast()
{
setSeed(GOOD_SEED);
}
/**
* 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.
*
* @param seed generator starting number, often the time of day.
*/
public MersenneTwisterFast(long seed)
{
setSeed(seed);
}
/**
* Initalize the pseudo random number generator.
* The Mersenne Twister only uses an integer for its seed;
* It's best that you don't pass in a long that's bigger
* than an int.
*
* @param seed from constructor
*
*/
public final void setSeed(long seed)
{
haveNextNextGaussian = false;
mt = new int[N];
// setting initial seeds to mt[N] using
// the generator Line 25 of Table 1 in
// [KNUTH 1981, The Art of Computer Programming
// Vol. 2 (2nd Ed.), pp102]
// the 0xffffffff is commented out because in Java
// ints are always 32 bits; hence i & 0xffffffff == i
mt[0]= ((int)seed); // & 0xffffffff;
for (mti = 1; mti < N; mti++)
mt[mti] = (69069 * mt[mti-1]); //& 0xffffffff;
// mag01[x] = x * MATRIX_A for x=0,1
mag01 = new int[2];
mag01[0] = 0x0;
mag01[1] = MATRIX_A;
}
public final int nextInt()
{
int y;
if (mti >= N) // generate N words at one time
{
int kk;
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 final short nextShort()
{
int y;
if (mti >= N) // generate N words at one time
{
int kk;
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 final char nextChar()
{
int y;
if (mti >= N) // generate N words at one time
{
int kk;
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 final boolean nextBoolean()
{
int y;
if (mti >= N) // generate N words at one time
{
int kk;
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);
}
public final byte nextByte()
{
int y;
if (mti >= N) // generate N words at one time
{
int kk;
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 final 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;
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 final long nextLong()
{
int y;
int z;
if (mti >= N) // generate N words at one time
{
int kk;
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;
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;
}
public final double nextDouble()
{
int y;
int z;
if (mti >= N) // generate N words at one time
{
int kk;
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;
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);
}
public final 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;
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;
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;
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;
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);
double multiplier = Math.sqrt(-2 * Math.log(s)/s);
nextNextGaussian = v2 * multiplier;
haveNextNextGaussian = true;
return v1 * multiplier;
}
}
public final float nextFloat()
{
int y;
if (mti >= N) // generate N words at one time
{
int kk;
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 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");
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;
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;
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;
// UNCOMMENT THIS TO TEST FOR PROPER GAUSSIAN STATE INITIALIZATION
/*
System.out.println("If the gaussian state is properly initialized when setSeed() is called,\nthen #1 != #2, but #1 == #3\nIt's known that java 1.0.2 doesn't do gaussian initialization right,\nso setSeed() may result in one last gaussian drawn from the *previous* seed.");
r = new MersenneTwisterFast(1);
r.nextGaussian(); // loads the later gaussian into the state
System.out.println("1: " + r.nextGaussian());
r = new MersenneTwisterFast(1);
r.nextGaussian(); // loads the later gaussian into the state
r.setSeed(1); // should reset the gaussian state
System.out.println("2: " + r.nextGaussian());
System.out.println("3: " + r.nextGaussian());
*/
// UNCOMMENT THIS TO TEST FOR CORRECTNESS
// COMPARE WITH http://www.math.keio.ac.jp/~nisimura/random/int/mt19937int.out
/*
r = new MersenneTwisterFast(4357);
System.out.println("Output of MersenneTwisterFast.java");
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%8==7) System.out.println();
}
*/
// UNCOMMENT THIS TO TEST FOR SPEED
/*
r = new MersenneTwisterFast();
System.out.println("\nTime to test grabbing 10000000 ints");
long ms = System.currentTimeMillis();
int xx=0;
for (j = 0; j < 10000000; j++)
xx += r.nextInt();
System.out.println("Mersenne Twister: " + (System.currentTimeMillis()-ms + " Ignore this: " + xx));
Random rr = new Random(1);
xx = 0;
ms = System.currentTimeMillis();
for (j = 0; j < 10000000; j++)
xx += rr.nextInt();
System.out.println("java.util.Random: " + (System.currentTimeMillis()-ms + " Ignore this: " + xx));
*/
// UNCOMMENT THIS TO DO TEST DIFFERENT TYPE OUTPUTS
// THIS CAN BE USED TO COMPARE THE DIFFERENCE BETWEEN
// MersenneTwisterFast.java AND MersenneTwister.java
/*
System.out.println("\nGrab the first 1000 booleans");
r = new MersenneTwisterFast();
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();
byte[] bytes = new byte[1000];
System.out.println("\nGrab the first 1000 bytes using nextBytes");
r = new MersenneTwisterFast();
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();
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();
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();
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();
for (j = 0; j < 1000; j++)
{
System.out.print(r.nextInt(j+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();
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 floats");
r = new MersenneTwisterFast();
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();
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();
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();
*/
}
}
