emul/compact/src/main/java/java/util/Random.java
brancharithmetic
changeset 774 42bc1e89134d
parent 755 5652acd48509
parent 773 406faa8bc64f
child 778 6f8683517f1f
     1.1 --- a/emul/compact/src/main/java/java/util/Random.java	Mon Feb 25 19:00:08 2013 +0100
     1.2 +++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.3 @@ -1,503 +0,0 @@
     1.4 -/*
     1.5 - * Copyright (c) 1995, 2010, Oracle and/or its affiliates. All rights reserved.
     1.6 - * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
     1.7 - *
     1.8 - * This code is free software; you can redistribute it and/or modify it
     1.9 - * under the terms of the GNU General Public License version 2 only, as
    1.10 - * published by the Free Software Foundation.  Oracle designates this
    1.11 - * particular file as subject to the "Classpath" exception as provided
    1.12 - * by Oracle in the LICENSE file that accompanied this code.
    1.13 - *
    1.14 - * This code is distributed in the hope that it will be useful, but WITHOUT
    1.15 - * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
    1.16 - * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
    1.17 - * version 2 for more details (a copy is included in the LICENSE file that
    1.18 - * accompanied this code).
    1.19 - *
    1.20 - * You should have received a copy of the GNU General Public License version
    1.21 - * 2 along with this work; if not, write to the Free Software Foundation,
    1.22 - * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
    1.23 - *
    1.24 - * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
    1.25 - * or visit www.oracle.com if you need additional information or have any
    1.26 - * questions.
    1.27 - */
    1.28 -
    1.29 -package java.util;
    1.30 -
    1.31 -import org.apidesign.bck2brwsr.emul.lang.System;
    1.32 -
    1.33 -/**
    1.34 - * An instance of this class is used to generate a stream of
    1.35 - * pseudorandom numbers. The class uses a 48-bit seed, which is
    1.36 - * modified using a linear congruential formula. (See Donald Knuth,
    1.37 - * <i>The Art of Computer Programming, Volume 2</i>, Section 3.2.1.)
    1.38 - * <p>
    1.39 - * If two instances of {@code Random} are created with the same
    1.40 - * seed, and the same sequence of method calls is made for each, they
    1.41 - * will generate and return identical sequences of numbers. In order to
    1.42 - * guarantee this property, particular algorithms are specified for the
    1.43 - * class {@code Random}. Java implementations must use all the algorithms
    1.44 - * shown here for the class {@code Random}, for the sake of absolute
    1.45 - * portability of Java code. However, subclasses of class {@code Random}
    1.46 - * are permitted to use other algorithms, so long as they adhere to the
    1.47 - * general contracts for all the methods.
    1.48 - * <p>
    1.49 - * The algorithms implemented by class {@code Random} use a
    1.50 - * {@code protected} utility method that on each invocation can supply
    1.51 - * up to 32 pseudorandomly generated bits.
    1.52 - * <p>
    1.53 - * Many applications will find the method {@link Math#random} simpler to use.
    1.54 - *
    1.55 - * <p>Instances of {@code java.util.Random} are threadsafe.
    1.56 - * However, the concurrent use of the same {@code java.util.Random}
    1.57 - * instance across threads may encounter contention and consequent
    1.58 - * poor performance. Consider instead using
    1.59 - * {@link java.util.concurrent.ThreadLocalRandom} in multithreaded
    1.60 - * designs.
    1.61 - *
    1.62 - * <p>Instances of {@code java.util.Random} are not cryptographically
    1.63 - * secure.  Consider instead using {@link java.security.SecureRandom} to
    1.64 - * get a cryptographically secure pseudo-random number generator for use
    1.65 - * by security-sensitive applications.
    1.66 - *
    1.67 - * @author  Frank Yellin
    1.68 - * @since   1.0
    1.69 - */
    1.70 -public
    1.71 -class Random implements java.io.Serializable {
    1.72 -    /** use serialVersionUID from JDK 1.1 for interoperability */
    1.73 -    static final long serialVersionUID = 3905348978240129619L;
    1.74 -
    1.75 -    /**
    1.76 -     * The internal state associated with this pseudorandom number generator.
    1.77 -     * (The specs for the methods in this class describe the ongoing
    1.78 -     * computation of this value.)
    1.79 -     */
    1.80 -    private long seed;
    1.81 -
    1.82 -    private static final long multiplier = 0x5DEECE66DL;
    1.83 -    private static final long addend = 0xBL;
    1.84 -    private static final long mask = (1L << 48) - 1;
    1.85 -
    1.86 -    /**
    1.87 -     * Creates a new random number generator. This constructor sets
    1.88 -     * the seed of the random number generator to a value very likely
    1.89 -     * to be distinct from any other invocation of this constructor.
    1.90 -     */
    1.91 -    public Random() {
    1.92 -        this(seedUniquifier() ^ System.nanoTime());
    1.93 -    }
    1.94 -    
    1.95 -    private static synchronized long seedUniquifier() {
    1.96 -        // L'Ecuyer, "Tables of Linear Congruential Generators of
    1.97 -        // Different Sizes and Good Lattice Structure", 1999
    1.98 -        long current = seedUniquifier;
    1.99 -        long next = current * 181783497276652981L;
   1.100 -        seedUniquifier = next;
   1.101 -        return next;
   1.102 -    }
   1.103 -
   1.104 -    private static long seedUniquifier = 8682522807148012L;
   1.105 -
   1.106 -    /**
   1.107 -     * Creates a new random number generator using a single {@code long} seed.
   1.108 -     * The seed is the initial value of the internal state of the pseudorandom
   1.109 -     * number generator which is maintained by method {@link #next}.
   1.110 -     *
   1.111 -     * <p>The invocation {@code new Random(seed)} is equivalent to:
   1.112 -     *  <pre> {@code
   1.113 -     * Random rnd = new Random();
   1.114 -     * rnd.setSeed(seed);}</pre>
   1.115 -     *
   1.116 -     * @param seed the initial seed
   1.117 -     * @see   #setSeed(long)
   1.118 -     */
   1.119 -    public Random(long seed) {
   1.120 -        this.seed = initialScramble(seed);
   1.121 -    }
   1.122 -
   1.123 -    private static long initialScramble(long seed) {
   1.124 -        return (seed ^ multiplier) & mask;
   1.125 -    }
   1.126 -
   1.127 -    /**
   1.128 -     * Sets the seed of this random number generator using a single
   1.129 -     * {@code long} seed. The general contract of {@code setSeed} is
   1.130 -     * that it alters the state of this random number generator object
   1.131 -     * so as to be in exactly the same state as if it had just been
   1.132 -     * created with the argument {@code seed} as a seed. The method
   1.133 -     * {@code setSeed} is implemented by class {@code Random} by
   1.134 -     * atomically updating the seed to
   1.135 -     *  <pre>{@code (seed ^ 0x5DEECE66DL) & ((1L << 48) - 1)}</pre>
   1.136 -     * and clearing the {@code haveNextNextGaussian} flag used by {@link
   1.137 -     * #nextGaussian}.
   1.138 -     *
   1.139 -     * <p>The implementation of {@code setSeed} by class {@code Random}
   1.140 -     * happens to use only 48 bits of the given seed. In general, however,
   1.141 -     * an overriding method may use all 64 bits of the {@code long}
   1.142 -     * argument as a seed value.
   1.143 -     *
   1.144 -     * @param seed the initial seed
   1.145 -     */
   1.146 -    synchronized public void setSeed(long seed) {
   1.147 -        this.seed = initialScramble(seed);
   1.148 -        haveNextNextGaussian = false;
   1.149 -    }
   1.150 -
   1.151 -    /**
   1.152 -     * Generates the next pseudorandom number. Subclasses should
   1.153 -     * override this, as this is used by all other methods.
   1.154 -     *
   1.155 -     * <p>The general contract of {@code next} is that it returns an
   1.156 -     * {@code int} value and if the argument {@code bits} is between
   1.157 -     * {@code 1} and {@code 32} (inclusive), then that many low-order
   1.158 -     * bits of the returned value will be (approximately) independently
   1.159 -     * chosen bit values, each of which is (approximately) equally
   1.160 -     * likely to be {@code 0} or {@code 1}. The method {@code next} is
   1.161 -     * implemented by class {@code Random} by atomically updating the seed to
   1.162 -     *  <pre>{@code (seed * 0x5DEECE66DL + 0xBL) & ((1L << 48) - 1)}</pre>
   1.163 -     * and returning
   1.164 -     *  <pre>{@code (int)(seed >>> (48 - bits))}.</pre>
   1.165 -     *
   1.166 -     * This is a linear congruential pseudorandom number generator, as
   1.167 -     * defined by D. H. Lehmer and described by Donald E. Knuth in
   1.168 -     * <i>The Art of Computer Programming,</i> Volume 3:
   1.169 -     * <i>Seminumerical Algorithms</i>, section 3.2.1.
   1.170 -     *
   1.171 -     * @param  bits random bits
   1.172 -     * @return the next pseudorandom value from this random number
   1.173 -     *         generator's sequence
   1.174 -     * @since  1.1
   1.175 -     */
   1.176 -    protected synchronized int next(int bits) {
   1.177 -        long oldseed, nextseed;
   1.178 -        long seed = this.seed;
   1.179 -        oldseed = seed;
   1.180 -        nextseed = (oldseed * multiplier + addend) & mask;
   1.181 -        this.seed = nextseed;
   1.182 -        return (int)(nextseed >>> (48 - bits));
   1.183 -    }
   1.184 -
   1.185 -    /**
   1.186 -     * Generates random bytes and places them into a user-supplied
   1.187 -     * byte array.  The number of random bytes produced is equal to
   1.188 -     * the length of the byte array.
   1.189 -     *
   1.190 -     * <p>The method {@code nextBytes} is implemented by class {@code Random}
   1.191 -     * as if by:
   1.192 -     *  <pre> {@code
   1.193 -     * public void nextBytes(byte[] bytes) {
   1.194 -     *   for (int i = 0; i < bytes.length; )
   1.195 -     *     for (int rnd = nextInt(), n = Math.min(bytes.length - i, 4);
   1.196 -     *          n-- > 0; rnd >>= 8)
   1.197 -     *       bytes[i++] = (byte)rnd;
   1.198 -     * }}</pre>
   1.199 -     *
   1.200 -     * @param  bytes the byte array to fill with random bytes
   1.201 -     * @throws NullPointerException if the byte array is null
   1.202 -     * @since  1.1
   1.203 -     */
   1.204 -    public void nextBytes(byte[] bytes) {
   1.205 -        for (int i = 0, len = bytes.length; i < len; )
   1.206 -            for (int rnd = nextInt(),
   1.207 -                     n = Math.min(len - i, Integer.SIZE/Byte.SIZE);
   1.208 -                 n-- > 0; rnd >>= Byte.SIZE)
   1.209 -                bytes[i++] = (byte)rnd;
   1.210 -    }
   1.211 -
   1.212 -    /**
   1.213 -     * Returns the next pseudorandom, uniformly distributed {@code int}
   1.214 -     * value from this random number generator's sequence. The general
   1.215 -     * contract of {@code nextInt} is that one {@code int} value is
   1.216 -     * pseudorandomly generated and returned. All 2<font size="-1"><sup>32
   1.217 -     * </sup></font> possible {@code int} values are produced with
   1.218 -     * (approximately) equal probability.
   1.219 -     *
   1.220 -     * <p>The method {@code nextInt} is implemented by class {@code Random}
   1.221 -     * as if by:
   1.222 -     *  <pre> {@code
   1.223 -     * public int nextInt() {
   1.224 -     *   return next(32);
   1.225 -     * }}</pre>
   1.226 -     *
   1.227 -     * @return the next pseudorandom, uniformly distributed {@code int}
   1.228 -     *         value from this random number generator's sequence
   1.229 -     */
   1.230 -    public int nextInt() {
   1.231 -        return next(32);
   1.232 -    }
   1.233 -
   1.234 -    /**
   1.235 -     * Returns a pseudorandom, uniformly distributed {@code int} value
   1.236 -     * between 0 (inclusive) and the specified value (exclusive), drawn from
   1.237 -     * this random number generator's sequence.  The general contract of
   1.238 -     * {@code nextInt} is that one {@code int} value in the specified range
   1.239 -     * is pseudorandomly generated and returned.  All {@code n} possible
   1.240 -     * {@code int} values are produced with (approximately) equal
   1.241 -     * probability.  The method {@code nextInt(int n)} is implemented by
   1.242 -     * class {@code Random} as if by:
   1.243 -     *  <pre> {@code
   1.244 -     * public int nextInt(int n) {
   1.245 -     *   if (n <= 0)
   1.246 -     *     throw new IllegalArgumentException("n must be positive");
   1.247 -     *
   1.248 -     *   if ((n & -n) == n)  // i.e., n is a power of 2
   1.249 -     *     return (int)((n * (long)next(31)) >> 31);
   1.250 -     *
   1.251 -     *   int bits, val;
   1.252 -     *   do {
   1.253 -     *       bits = next(31);
   1.254 -     *       val = bits % n;
   1.255 -     *   } while (bits - val + (n-1) < 0);
   1.256 -     *   return val;
   1.257 -     * }}</pre>
   1.258 -     *
   1.259 -     * <p>The hedge "approximately" is used in the foregoing description only
   1.260 -     * because the next method is only approximately an unbiased source of
   1.261 -     * independently chosen bits.  If it were a perfect source of randomly
   1.262 -     * chosen bits, then the algorithm shown would choose {@code int}
   1.263 -     * values from the stated range with perfect uniformity.
   1.264 -     * <p>
   1.265 -     * The algorithm is slightly tricky.  It rejects values that would result
   1.266 -     * in an uneven distribution (due to the fact that 2^31 is not divisible
   1.267 -     * by n). The probability of a value being rejected depends on n.  The
   1.268 -     * worst case is n=2^30+1, for which the probability of a reject is 1/2,
   1.269 -     * and the expected number of iterations before the loop terminates is 2.
   1.270 -     * <p>
   1.271 -     * The algorithm treats the case where n is a power of two specially: it
   1.272 -     * returns the correct number of high-order bits from the underlying
   1.273 -     * pseudo-random number generator.  In the absence of special treatment,
   1.274 -     * the correct number of <i>low-order</i> bits would be returned.  Linear
   1.275 -     * congruential pseudo-random number generators such as the one
   1.276 -     * implemented by this class are known to have short periods in the
   1.277 -     * sequence of values of their low-order bits.  Thus, this special case
   1.278 -     * greatly increases the length of the sequence of values returned by
   1.279 -     * successive calls to this method if n is a small power of two.
   1.280 -     *
   1.281 -     * @param n the bound on the random number to be returned.  Must be
   1.282 -     *        positive.
   1.283 -     * @return the next pseudorandom, uniformly distributed {@code int}
   1.284 -     *         value between {@code 0} (inclusive) and {@code n} (exclusive)
   1.285 -     *         from this random number generator's sequence
   1.286 -     * @throws IllegalArgumentException if n is not positive
   1.287 -     * @since 1.2
   1.288 -     */
   1.289 -
   1.290 -    public int nextInt(int n) {
   1.291 -        if (n <= 0)
   1.292 -            throw new IllegalArgumentException("n must be positive");
   1.293 -
   1.294 -        if ((n & -n) == n)  // i.e., n is a power of 2
   1.295 -            return (int)((n * (long)next(31)) >> 31);
   1.296 -
   1.297 -        int bits, val;
   1.298 -        do {
   1.299 -            bits = next(31);
   1.300 -            val = bits % n;
   1.301 -        } while (bits - val + (n-1) < 0);
   1.302 -        return val;
   1.303 -    }
   1.304 -
   1.305 -    /**
   1.306 -     * Returns the next pseudorandom, uniformly distributed {@code long}
   1.307 -     * value from this random number generator's sequence. The general
   1.308 -     * contract of {@code nextLong} is that one {@code long} value is
   1.309 -     * pseudorandomly generated and returned.
   1.310 -     *
   1.311 -     * <p>The method {@code nextLong} is implemented by class {@code Random}
   1.312 -     * as if by:
   1.313 -     *  <pre> {@code
   1.314 -     * public long nextLong() {
   1.315 -     *   return ((long)next(32) << 32) + next(32);
   1.316 -     * }}</pre>
   1.317 -     *
   1.318 -     * Because class {@code Random} uses a seed with only 48 bits,
   1.319 -     * this algorithm will not return all possible {@code long} values.
   1.320 -     *
   1.321 -     * @return the next pseudorandom, uniformly distributed {@code long}
   1.322 -     *         value from this random number generator's sequence
   1.323 -     */
   1.324 -    public long nextLong() {
   1.325 -        // it's okay that the bottom word remains signed.
   1.326 -        return ((long)(next(32)) << 32) + next(32);
   1.327 -    }
   1.328 -
   1.329 -    /**
   1.330 -     * Returns the next pseudorandom, uniformly distributed
   1.331 -     * {@code boolean} value from this random number generator's
   1.332 -     * sequence. The general contract of {@code nextBoolean} is that one
   1.333 -     * {@code boolean} value is pseudorandomly generated and returned.  The
   1.334 -     * values {@code true} and {@code false} are produced with
   1.335 -     * (approximately) equal probability.
   1.336 -     *
   1.337 -     * <p>The method {@code nextBoolean} is implemented by class {@code Random}
   1.338 -     * as if by:
   1.339 -     *  <pre> {@code
   1.340 -     * public boolean nextBoolean() {
   1.341 -     *   return next(1) != 0;
   1.342 -     * }}</pre>
   1.343 -     *
   1.344 -     * @return the next pseudorandom, uniformly distributed
   1.345 -     *         {@code boolean} value from this random number generator's
   1.346 -     *         sequence
   1.347 -     * @since 1.2
   1.348 -     */
   1.349 -    public boolean nextBoolean() {
   1.350 -        return next(1) != 0;
   1.351 -    }
   1.352 -
   1.353 -    /**
   1.354 -     * Returns the next pseudorandom, uniformly distributed {@code float}
   1.355 -     * value between {@code 0.0} and {@code 1.0} from this random
   1.356 -     * number generator's sequence.
   1.357 -     *
   1.358 -     * <p>The general contract of {@code nextFloat} is that one
   1.359 -     * {@code float} value, chosen (approximately) uniformly from the
   1.360 -     * range {@code 0.0f} (inclusive) to {@code 1.0f} (exclusive), is
   1.361 -     * pseudorandomly generated and returned. All 2<font
   1.362 -     * size="-1"><sup>24</sup></font> possible {@code float} values
   1.363 -     * of the form <i>m&nbsp;x&nbsp</i>2<font
   1.364 -     * size="-1"><sup>-24</sup></font>, where <i>m</i> is a positive
   1.365 -     * integer less than 2<font size="-1"><sup>24</sup> </font>, are
   1.366 -     * produced with (approximately) equal probability.
   1.367 -     *
   1.368 -     * <p>The method {@code nextFloat} is implemented by class {@code Random}
   1.369 -     * as if by:
   1.370 -     *  <pre> {@code
   1.371 -     * public float nextFloat() {
   1.372 -     *   return next(24) / ((float)(1 << 24));
   1.373 -     * }}</pre>
   1.374 -     *
   1.375 -     * <p>The hedge "approximately" is used in the foregoing description only
   1.376 -     * because the next method is only approximately an unbiased source of
   1.377 -     * independently chosen bits. If it were a perfect source of randomly
   1.378 -     * chosen bits, then the algorithm shown would choose {@code float}
   1.379 -     * values from the stated range with perfect uniformity.<p>
   1.380 -     * [In early versions of Java, the result was incorrectly calculated as:
   1.381 -     *  <pre> {@code
   1.382 -     *   return next(30) / ((float)(1 << 30));}</pre>
   1.383 -     * This might seem to be equivalent, if not better, but in fact it
   1.384 -     * introduced a slight nonuniformity because of the bias in the rounding
   1.385 -     * of floating-point numbers: it was slightly more likely that the
   1.386 -     * low-order bit of the significand would be 0 than that it would be 1.]
   1.387 -     *
   1.388 -     * @return the next pseudorandom, uniformly distributed {@code float}
   1.389 -     *         value between {@code 0.0} and {@code 1.0} from this
   1.390 -     *         random number generator's sequence
   1.391 -     */
   1.392 -    public float nextFloat() {
   1.393 -        return next(24) / ((float)(1 << 24));
   1.394 -    }
   1.395 -
   1.396 -    /**
   1.397 -     * Returns the next pseudorandom, uniformly distributed
   1.398 -     * {@code double} value between {@code 0.0} and
   1.399 -     * {@code 1.0} from this random number generator's sequence.
   1.400 -     *
   1.401 -     * <p>The general contract of {@code nextDouble} is that one
   1.402 -     * {@code double} value, chosen (approximately) uniformly from the
   1.403 -     * range {@code 0.0d} (inclusive) to {@code 1.0d} (exclusive), is
   1.404 -     * pseudorandomly generated and returned.
   1.405 -     *
   1.406 -     * <p>The method {@code nextDouble} is implemented by class {@code Random}
   1.407 -     * as if by:
   1.408 -     *  <pre> {@code
   1.409 -     * public double nextDouble() {
   1.410 -     *   return (((long)next(26) << 27) + next(27))
   1.411 -     *     / (double)(1L << 53);
   1.412 -     * }}</pre>
   1.413 -     *
   1.414 -     * <p>The hedge "approximately" is used in the foregoing description only
   1.415 -     * because the {@code next} method is only approximately an unbiased
   1.416 -     * source of independently chosen bits. If it were a perfect source of
   1.417 -     * randomly chosen bits, then the algorithm shown would choose
   1.418 -     * {@code double} values from the stated range with perfect uniformity.
   1.419 -     * <p>[In early versions of Java, the result was incorrectly calculated as:
   1.420 -     *  <pre> {@code
   1.421 -     *   return (((long)next(27) << 27) + next(27))
   1.422 -     *     / (double)(1L << 54);}</pre>
   1.423 -     * This might seem to be equivalent, if not better, but in fact it
   1.424 -     * introduced a large nonuniformity because of the bias in the rounding
   1.425 -     * of floating-point numbers: it was three times as likely that the
   1.426 -     * low-order bit of the significand would be 0 than that it would be 1!
   1.427 -     * This nonuniformity probably doesn't matter much in practice, but we
   1.428 -     * strive for perfection.]
   1.429 -     *
   1.430 -     * @return the next pseudorandom, uniformly distributed {@code double}
   1.431 -     *         value between {@code 0.0} and {@code 1.0} from this
   1.432 -     *         random number generator's sequence
   1.433 -     * @see Math#random
   1.434 -     */
   1.435 -    public double nextDouble() {
   1.436 -        return (((long)(next(26)) << 27) + next(27))
   1.437 -            / (double)(1L << 53);
   1.438 -    }
   1.439 -
   1.440 -    private double nextNextGaussian;
   1.441 -    private boolean haveNextNextGaussian = false;
   1.442 -
   1.443 -    /**
   1.444 -     * Returns the next pseudorandom, Gaussian ("normally") distributed
   1.445 -     * {@code double} value with mean {@code 0.0} and standard
   1.446 -     * deviation {@code 1.0} from this random number generator's sequence.
   1.447 -     * <p>
   1.448 -     * The general contract of {@code nextGaussian} is that one
   1.449 -     * {@code double} value, chosen from (approximately) the usual
   1.450 -     * normal distribution with mean {@code 0.0} and standard deviation
   1.451 -     * {@code 1.0}, is pseudorandomly generated and returned.
   1.452 -     *
   1.453 -     * <p>The method {@code nextGaussian} is implemented by class
   1.454 -     * {@code Random} as if by a threadsafe version of the following:
   1.455 -     *  <pre> {@code
   1.456 -     * private double nextNextGaussian;
   1.457 -     * private boolean haveNextNextGaussian = false;
   1.458 -     *
   1.459 -     * public double nextGaussian() {
   1.460 -     *   if (haveNextNextGaussian) {
   1.461 -     *     haveNextNextGaussian = false;
   1.462 -     *     return nextNextGaussian;
   1.463 -     *   } else {
   1.464 -     *     double v1, v2, s;
   1.465 -     *     do {
   1.466 -     *       v1 = 2 * nextDouble() - 1;   // between -1.0 and 1.0
   1.467 -     *       v2 = 2 * nextDouble() - 1;   // between -1.0 and 1.0
   1.468 -     *       s = v1 * v1 + v2 * v2;
   1.469 -     *     } while (s >= 1 || s == 0);
   1.470 -     *     double multiplier = StrictMath.sqrt(-2 * StrictMath.log(s)/s);
   1.471 -     *     nextNextGaussian = v2 * multiplier;
   1.472 -     *     haveNextNextGaussian = true;
   1.473 -     *     return v1 * multiplier;
   1.474 -     *   }
   1.475 -     * }}</pre>
   1.476 -     * This uses the <i>polar method</i> of G. E. P. Box, M. E. Muller, and
   1.477 -     * G. Marsaglia, as described by Donald E. Knuth in <i>The Art of
   1.478 -     * Computer Programming</i>, Volume 3: <i>Seminumerical Algorithms</i>,
   1.479 -     * section 3.4.1, subsection C, algorithm P. Note that it generates two
   1.480 -     * independent values at the cost of only one call to {@code StrictMath.log}
   1.481 -     * and one call to {@code StrictMath.sqrt}.
   1.482 -     *
   1.483 -     * @return the next pseudorandom, Gaussian ("normally") distributed
   1.484 -     *         {@code double} value with mean {@code 0.0} and
   1.485 -     *         standard deviation {@code 1.0} from this random number
   1.486 -     *         generator's sequence
   1.487 -     */
   1.488 -    synchronized public double nextGaussian() {
   1.489 -        // See Knuth, ACP, Section 3.4.1 Algorithm C.
   1.490 -        if (haveNextNextGaussian) {
   1.491 -            haveNextNextGaussian = false;
   1.492 -            return nextNextGaussian;
   1.493 -        } else {
   1.494 -            double v1, v2, s;
   1.495 -            do {
   1.496 -                v1 = 2 * nextDouble() - 1; // between -1 and 1
   1.497 -                v2 = 2 * nextDouble() - 1; // between -1 and 1
   1.498 -                s = v1 * v1 + v2 * v2;
   1.499 -            } while (s >= 1 || s == 0);
   1.500 -            double multiplier = Math.sqrt(-2 * Math.log(s)/s);
   1.501 -            nextNextGaussian = v2 * multiplier;
   1.502 -            haveNextNextGaussian = true;
   1.503 -            return v1 * multiplier;
   1.504 -        }
   1.505 -    }
   1.506 -}