1dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond/*
2dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * Licensed to the Apache Software Foundation (ASF) under one or more
3dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * contributor license agreements.  See the NOTICE file distributed with
4dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * this work for additional information regarding copyright ownership.
5dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * The ASF licenses this file to You under the Apache License, Version 2.0
6dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * (the "License"); you may not use this file except in compliance with
7dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * the License.  You may obtain a copy of the License at
8dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond *
9dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond *      http://www.apache.org/licenses/LICENSE-2.0
10dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond *
11dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * Unless required by applicable law or agreed to in writing, software
12dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * distributed under the License is distributed on an "AS IS" BASIS,
13dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * See the License for the specific language governing permissions and
15dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * limitations under the License.
16dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond */
17dee0849a9704d532af0b550146cbafbaa6ee1d19Raymondpackage org.apache.commons.math.random;
18dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
19dee0849a9704d532af0b550146cbafbaa6ee1d19Raymondimport org.apache.commons.math.exception.NotStrictlyPositiveException;
20dee0849a9704d532af0b550146cbafbaa6ee1d19Raymondimport org.apache.commons.math.util.FastMath;
21dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
22dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond/**
23dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * Abstract class implementing the {@link  RandomGenerator} interface.
24dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * Default implementations for all methods other than {@link #nextDouble()} and
25dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * {@link #setSeed(long)} are provided.
26dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * <p>
27dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * All data generation methods are based on {@code code nextDouble()}.
28dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * Concrete implementations <strong>must</strong> override
29dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * this method and <strong>should</strong> provide better / more
30dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * performant implementations of the other methods if the underlying PRNG
31dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * supplies them.</p>
32dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond *
33dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * @since 1.1
34dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond * @version $Revision: 990655 $ $Date: 2010-08-29 23:49:40 +0200 (dim. 29 août 2010) $
35dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond */
36dee0849a9704d532af0b550146cbafbaa6ee1d19Raymondpublic abstract class AbstractRandomGenerator implements RandomGenerator {
37dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
38dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
39dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Cached random normal value.  The default implementation for
40dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@link #nextGaussian} generates pairs of values and this field caches the
41dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * second value so that the full algorithm is not executed for every
42dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * activation.  The value {@code Double.NaN} signals that there is
43dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * no cached value.  Use {@link #clear} to clear the cached value.
44dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
45dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    private double cachedNormalDeviate = Double.NaN;
46dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
47dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
48dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Construct a RandomGenerator.
49dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
50dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public AbstractRandomGenerator() {
51dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        super();
52dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
53dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
54dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
55dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
56dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Clears the cache used by the default implementation of
57dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@link #nextGaussian}. Implemementations that do not override the
58dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * default implementation of {@code nextGaussian} should call this
59dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * method in the implementation of {@link #setSeed(long)}
60dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
61dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public void clear() {
62dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        cachedNormalDeviate = Double.NaN;
63dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
64dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
65dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /** {@inheritDoc} */
66dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public void setSeed(int seed) {
67dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        setSeed((long) seed);
68dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
69dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
70dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /** {@inheritDoc} */
71dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public void setSeed(int[] seed) {
72dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        // the following number is the largest prime that fits in 32 bits (it is 2^32 - 5)
73dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        final long prime = 4294967291l;
74dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
75dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        long combined = 0l;
76dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        for (int s : seed) {
77dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            combined = combined * prime + s;
78dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        }
79dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        setSeed(combined);
80dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
81dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
82dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
83dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Sets the seed of the underyling random number generator using a
84dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@code long} seed.  Sequences of values generated starting with the
85dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * same seeds should be identical.
86dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
87dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Implementations that do not override the default implementation of
88dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@code nextGaussian} should include a call to {@link #clear} in the
89dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * implementation of this method.</p>
90dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
91dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @param seed the seed value
92dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
93dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public abstract void setSeed(long seed);
94dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
95dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
96dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Generates random bytes and places them into a user-supplied
97dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * byte array.  The number of random bytes produced is equal to
98dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * the length of the byte array.
99dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
100dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * The default implementation fills the array with bytes extracted from
101dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * random integers generated using {@link #nextInt}.</p>
102dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
103dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @param bytes the non-null byte array in which to put the
104dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * random bytes
105dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
106dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public void nextBytes(byte[] bytes) {
107dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        int bytesOut = 0;
108dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        while (bytesOut < bytes.length) {
109dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond          int randInt = nextInt();
110dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond          for (int i = 0; i < 3; i++) {
111dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond              if ( i > 0) {
112dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond                  randInt = randInt >> 8;
113dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond              }
114dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond              bytes[bytesOut++] = (byte) randInt;
115dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond              if (bytesOut == bytes.length) {
116dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond                  return;
117dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond              }
118dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond          }
119dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        }
120dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
121dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
122dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     /**
123dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Returns the next pseudorandom, uniformly distributed {@code int}
124dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * value from this random number generator's sequence.
125dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * All 2<font size="-1"><sup>32</sup></font> possible {@code int} values
126dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * should be produced with  (approximately) equal probability.
127dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
128dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * The default implementation provided here returns
129dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <pre>
130dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <code>(int) (nextDouble() * Integer.MAX_VALUE)</code>
131dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * </pre></p>
132dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
133dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @return the next pseudorandom, uniformly distributed {@code int}
134dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *  value from this random number generator's sequence
135dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
136dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public int nextInt() {
137dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        return (int) (nextDouble() * Integer.MAX_VALUE);
138dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
139dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
140dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
141dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Returns a pseudorandom, uniformly distributed {@code int} value
142dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * between 0 (inclusive) and the specified value (exclusive), drawn from
143dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * this random number generator's sequence.
144dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
145dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * The default implementation returns
146dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <pre>
147dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <code>(int) (nextDouble() * n</code>
148dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * </pre></p>
149dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
150dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @param n the bound on the random number to be returned.  Must be
151dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * positive.
152dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @return  a pseudorandom, uniformly distributed {@code int}
153dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * value between 0 (inclusive) and n (exclusive).
154dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @throws NotStrictlyPositiveException if {@code n <= 0}.
155dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
156dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public int nextInt(int n) {
157dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        if (n <= 0 ) {
158dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            throw new NotStrictlyPositiveException(n);
159dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        }
160dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        int result = (int) (nextDouble() * n);
161dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        return result < n ? result : n - 1;
162dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
163dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
164dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     /**
165dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Returns the next pseudorandom, uniformly distributed {@code long}
166dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * value from this random number generator's sequence.  All
167dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * 2<font size="-1"><sup>64</sup></font> possible {@code long} values
168dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * should be produced with (approximately) equal probability.
169dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
170dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * The default implementation returns
171dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <pre>
172dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <code>(long) (nextDouble() * Long.MAX_VALUE)</code>
173dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * </pre></p>
174dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
175dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @return  the next pseudorandom, uniformly distributed {@code long}
176dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *value from this random number generator's sequence
177dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
178dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public long nextLong() {
179dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        return (long) (nextDouble() * Long.MAX_VALUE);
180dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
181dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
182dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
183dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Returns the next pseudorandom, uniformly distributed
184dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@code boolean} value from this random number generator's
185dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * sequence.
186dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
187dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * The default implementation returns
188dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <pre>
189dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <code>nextDouble() <= 0.5</code>
190dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * </pre></p>
191dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
192dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @return  the next pseudorandom, uniformly distributed
193dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@code boolean} value from this random number generator's
194dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * sequence
195dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
196dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public boolean nextBoolean() {
197dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        return nextDouble() <= 0.5;
198dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
199dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
200dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     /**
201dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Returns the next pseudorandom, uniformly distributed {@code float}
202dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * value between {@code 0.0} and {@code 1.0} from this random
203dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * number generator's sequence.
204dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
205dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * The default implementation returns
206dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <pre>
207dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <code>(float) nextDouble() </code>
208dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * </pre></p>
209dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
210dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @return  the next pseudorandom, uniformly distributed {@code float}
211dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * value between {@code 0.0} and {@code 1.0} from this
212dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * random number generator's sequence
213dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
214dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public float nextFloat() {
215dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        return (float) nextDouble();
216dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
217dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
218dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
219dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Returns the next pseudorandom, uniformly distributed
220dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@code double} value between {@code 0.0} and
221dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@code 1.0} from this random number generator's sequence.
222dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
223dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * This method provides the underlying source of random data used by the
224dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * other methods.</p>
225dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
226dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @return  the next pseudorandom, uniformly distributed
227dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *  {@code double} value between {@code 0.0} and
228dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *  {@code 1.0} from this random number generator's sequence
229dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
230dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public abstract double nextDouble();
231dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond
232dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    /**
233dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * Returns the next pseudorandom, Gaussian ("normally") distributed
234dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@code double} value with mean {@code 0.0} and standard
235dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * deviation {@code 1.0} from this random number generator's sequence.
236dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
237dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * The default implementation uses the <em>Polar Method</em>
238dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * due to G.E.P. Box, M.E. Muller and G. Marsaglia, as described in
239dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * D. Knuth, <u>The Art of Computer Programming</u>, 3.4.1C.</p>
240dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * <p>
241dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * The algorithm generates a pair of independent random values.  One of
242dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * these is cached for reuse, so the full algorithm is not executed on each
243dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * activation.  Implementations that do not override this method should
244dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * make sure to call {@link #clear} to clear the cached value in the
245dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * implementation of {@link #setSeed(long)}.</p>
246dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *
247dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * @return  the next pseudorandom, Gaussian ("normally") distributed
248dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * {@code double} value with mean {@code 0.0} and
249dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     * standard deviation {@code 1.0} from this random number
250dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     *  generator's sequence
251dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond     */
252dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    public double nextGaussian() {
253dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        if (!Double.isNaN(cachedNormalDeviate)) {
254dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            double dev = cachedNormalDeviate;
255dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            cachedNormalDeviate = Double.NaN;
256dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            return dev;
257dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        }
258dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        double v1 = 0;
259dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        double v2 = 0;
260dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        double s = 1;
261dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        while (s >=1 ) {
262dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            v1 = 2 * nextDouble() - 1;
263dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            v2 = 2 * nextDouble() - 1;
264dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            s = v1 * v1 + v2 * v2;
265dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        }
266dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        if (s != 0) {
267dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond            s = FastMath.sqrt(-2 * FastMath.log(s) / s);
268dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        }
269dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        cachedNormalDeviate = v2 * s;
270dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond        return v1 * s;
271dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond    }
272dee0849a9704d532af0b550146cbafbaa6ee1d19Raymond}
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