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package net.sourceforge.plantuml.utils;

import java.util.Random;

/**
 * @version 1.0
 * @author David Beaumont, Copyright 2005
 *         

* A Java implementation of the MT19937 (Mersenne Twister) pseudo random * number generator algorithm based upon the original C code by Makoto * Matsumoto and Takuji Nishimura (see * * http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html for more * information. *

* As a subclass of java.util.Random this class provides a single * canonical method next() for generating bits in the pseudo random * number sequence. Anyone using this class should invoke the public * inherited methods (nextInt(), nextFloat etc.) to obtain values as * normal. This class should provide a drop-in replacement for the * standard implementation of java.util.Random with the additional * advantage of having a far longer period and the ability to use a far * larger seed value. *

* This is not a cryptographically strong source of randomness * and should not be used for cryptographic systems or in any * other situation where true random numbers are required. *

* */ public class MTRandom extends Random { // ::remove file when __HAXE__ /** * Auto-generated serial version UID. Note that MTRandom does NOT support * serialisation of its internal state and it may even be necessary to implement * read/write methods to re-seed it properly. This is only here to make Eclipse * shut up about it being missing. */ private static final long serialVersionUID = -515082678588212038L; // Constants used in the original C implementation private final static int UPPER_MASK = 0x80000000; private final static int LOWER_MASK = 0x7fffffff; private final static int N = 624; private final static int M = 397; private final static int MAGIC[] = { 0x0, 0x9908b0df }; private final static int MAGIC_FACTOR1 = 1812433253; private final static int MAGIC_FACTOR2 = 1664525; private final static int MAGIC_FACTOR3 = 1566083941; private final static int MAGIC_MASK1 = 0x9d2c5680; private final static int MAGIC_MASK2 = 0xefc60000; private final static int MAGIC_SEED = 19650218; private final static long DEFAULT_SEED = 5489L; // Internal state private transient int[] mt; private transient int mti; private transient boolean compat = false; // Temporary buffer used during setSeed(long) private transient int[] ibuf; /** * The default constructor for an instance of MTRandom. This invokes the * no-argument constructor for java.util.Random which will result in the class * being initialised with a seed value obtained by calling * System.currentTimeMillis(). */ public MTRandom() { } /** * This version of the constructor can be used to implement identical behaviour * to the original C code version of this algorithm including exactly * replicating the case where the seed value had not been set prior to calling * genrand_int32. *

* If the compatibility flag is set to true, then the algorithm will be seeded * with the same default value as was used in the original C code. Furthermore * the setSeed() method, which must take a 64 bit long value, will be limited to * using only the lower 32 bits of the seed to facilitate seamless migration of * existing C code into Java where identical behaviour is required. *

* Whilst useful for ensuring backwards compatibility, it is advised that this * feature not be used unless specifically required, due to the reduction in * strength of the seed value. * * @param compatible Compatibility flag for replicating original behaviour. */ public MTRandom(boolean compatible) { super(0L); compat = compatible; setSeed(compat ? DEFAULT_SEED : System.currentTimeMillis()); } /** * This version of the constructor simply initialises the class with the given * 64 bit seed value. For a better random number sequence this seed value should * contain as much entropy as possible. * * @param seed The seed value with which to initialise this class. */ public MTRandom(long seed) { super(seed); } /** * This version of the constructor initialises the class with the given byte * array. All the data will be used to initialise this instance. * * @param buf The non-empty byte array of seed information. * @throws NullPointerException if the buffer is null. * @throws IllegalArgumentException if the buffer has zero length. */ public MTRandom(byte[] buf) { super(0L); setSeed(buf); } /** * This version of the constructor initialises the class with the given integer * array. All the data will be used to initialise this instance. * * @param buf The non-empty integer array of seed information. * @throws NullPointerException if the buffer is null. * @throws IllegalArgumentException if the buffer has zero length. */ public MTRandom(int[] buf) { super(0L); setSeed(buf); } // Initializes mt[N] with a simple integer seed. This method is // required as part of the Mersenne Twister algorithm but need // not be made public. private final void setSeed(int seed) { // Annoying runtime check for initialisation of internal data // caused by java.util.Random invoking setSeed() during init. // This is unavoidable because no fields in our instance will // have been initialised at this point, not even if the code // were placed at the declaration of the member variable. if (mt == null) mt = new int[N]; // ---- Begin Mersenne Twister Algorithm ---- mt[0] = seed; for (mti = 1; mti < N; mti++) { mt[mti] = (MAGIC_FACTOR1 * (mt[mti - 1] ^ (mt[mti - 1] >>> 30)) + mti); } // ---- End Mersenne Twister Algorithm ---- } /** * This method resets the state of this instance using the 64 bits of seed data * provided. Note that if the same seed data is passed to two different * instances of MTRandom (both of which share the same compatibility state) then * the sequence of numbers generated by both instances will be identical. *

* If this instance was initialised in 'compatibility' mode then this method * will only use the lower 32 bits of any seed value passed in and will match * the behaviour of the original C code exactly with respect to state * initialisation. * * @param seed The 64 bit value used to initialise the random number generator * state. */ public final synchronized void setSeed(long seed) { if (compat) { setSeed((int) seed); } else { // Annoying runtime check for initialisation of internal data // caused by java.util.Random invoking setSeed() during init. // This is unavoidable because no fields in our instance will // have been initialised at this point, not even if the code // were placed at the declaration of the member variable. if (ibuf == null) ibuf = new int[2]; ibuf[0] = (int) seed; ibuf[1] = (int) (seed >>> 32); setSeed(ibuf); } } /** * This method resets the state of this instance using the byte array of seed * data provided. Note that calling this method is equivalent to calling * "setSeed(pack(buf))" and in particular will result in a new integer array * being generated during the call. If you wish to retain this seed data to * allow the pseudo random sequence to be restarted then it would be more * efficient to use the "pack()" method to convert it into an integer array * first and then use that to re-seed the instance. The behaviour of the class * will be the same in both cases but it will be more efficient. * * @param buf The non-empty byte array of seed information. * @throws NullPointerException if the buffer is null. * @throws IllegalArgumentException if the buffer has zero length. */ public final void setSeed(byte[] buf) { setSeed(pack(buf)); } /** * This method resets the state of this instance using the integer array of seed * data provided. This is the canonical way of resetting the pseudo random * number sequence. * * @param buf The non-empty integer array of seed information. * @throws NullPointerException if the buffer is null. * @throws IllegalArgumentException if the buffer has zero length. */ public final synchronized void setSeed(int[] buf) { int length = buf.length; if (length == 0) throw new IllegalArgumentException("Seed buffer may not be empty"); // ---- Begin Mersenne Twister Algorithm ---- int i = 1, j = 0, k = (N > length ? N : length); setSeed(MAGIC_SEED); for (; k > 0; k--) { mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >>> 30)) * MAGIC_FACTOR2)) + buf[j] + j; i++; j++; if (i >= N) { mt[0] = mt[N - 1]; i = 1; } if (j >= length) j = 0; } for (k = N - 1; k > 0; k--) { mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >>> 30)) * MAGIC_FACTOR3)) - i; i++; if (i >= N) { mt[0] = mt[N - 1]; i = 1; } } mt[0] = UPPER_MASK; // MSB is 1; assuring non-zero initial array // ---- End Mersenne Twister Algorithm ---- } /** * This method forms the basis for generating a pseudo random number sequence * from this class. If given a value of 32, this method behaves identically to * the genrand_int32 function in the original C code and ensures that using the * standard nextInt() function (inherited from Random) we are able to replicate * behaviour exactly. *

* Note that where the number of bits requested is not equal to 32 then bits * will simply be masked out from the top of the returned integer value. That is * to say that: * *

	 * mt.setSeed(12345);
	 * int foo = mt.nextInt(16) + (mt.nextInt(16) << 16);
	 * 
* * will not give the same result as * *
	 * mt.setSeed(12345);
	 * int foo = mt.nextInt(32);
	 * 
* * @param bits The number of significant bits desired in the output. * @return The next value in the pseudo random sequence with the specified * number of bits in the lower part of the integer. */ protected final synchronized int next(int bits) { // ---- Begin Mersenne Twister Algorithm ---- int y, kk; if (mti >= N) { // generate N words at one time // In the original C implementation, mti is checked here // to determine if initialisation has occurred; if not // it initialises this instance with DEFAULT_SEED (5489). // This is no longer necessary as initialisation of the // Java instance must result in initialisation occurring // Use the constructor MTRandom(true) to enable backwards // compatible behaviour. for (kk = 0; kk < N - M; kk++) { y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK); mt[kk] = mt[kk + M] ^ (y >>> 1) ^ MAGIC[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) ^ MAGIC[y & 0x1]; } y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK); mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ MAGIC[y & 0x1]; mti = 0; } y = mt[mti++]; // Tempering y ^= (y >>> 11); y ^= (y << 7) & MAGIC_MASK1; y ^= (y << 15) & MAGIC_MASK2; y ^= (y >>> 18); // ---- End Mersenne Twister Algorithm ---- return (y >>> (32 - bits)); } // This is a fairly obscure little code section to pack a // byte[] into an int[] in little endian ordering. /** * This simply utility method can be used in cases where a byte array of seed * data is to be used to repeatedly re-seed the random number sequence. By * packing the byte array into an integer array first, using this method, and * then invoking setSeed() with that; it removes the need to re-pack the byte * array each time setSeed() is called. *

* If the length of the byte array is not a multiple of 4 then it is implicitly * padded with zeros as necessary. For example: * *

	 *     byte[] { 0x01, 0x02, 0x03, 0x04, 0x05, 0x06 }
	 * 
* * becomes * *
	 *     int[]  { 0x04030201, 0x00000605 }
	 * 
*

* Note that this method will not complain if the given byte array is empty and * will produce an empty integer array, but the setSeed() method will throw an * exception if the empty integer array is passed to it. * * @param buf The non-null byte array to be packed. * @return A non-null integer array of the packed bytes. * @throws NullPointerException if the given byte array is null. */ public static int[] pack(byte[] buf) { int k, blen = buf.length, ilen = ((buf.length + 3) >>> 2); int[] ibuf = new int[ilen]; for (int n = 0; n < ilen; n++) { int m = (n + 1) << 2; if (m > blen) m = blen; for (k = buf[--m] & 0xff; (m & 0x3) != 0; k = (k << 8) | buf[--m] & 0xff) ; ibuf[n] = k; } return ibuf; } }





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