1 /*
2  * Licensed to the Apache Software Foundation (ASF) under one or more
3  * contributor license agreements.  See the NOTICE file distributed with
4  * this work for additional information regarding copyright ownership.
5  * The ASF licenses this file to You under the Apache License, Version 2.0
6  * (the "License"); you may not use this file except in compliance with
7  * the License.  You may obtain a copy of the License at
8  *
9  *      http://www.apache.org/licenses/LICENSE-2.0
10  *
11  * Unless required by applicable law or agreed to in writing, software
12  * distributed under the License is distributed on an "AS IS" BASIS,
13  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14  * See the License for the specific language governing permissions and
15  * limitations under the License.
16  */
17 package org.apache.commons.math.random;
18 
19 
20 /** This class implements the WELL44497b pseudo-random number generator
21  * from François Panneton, Pierre L'Ecuyer and Makoto Matsumoto.
22 
23  * <p>This generator is described in a paper by Fran&ccedil;ois Panneton,
24  * Pierre L'Ecuyer and Makoto Matsumoto <a
25  * href="http://www.iro.umontreal.ca/~lecuyer/myftp/papers/wellrng.pdf">Improved
26  * Long-Period Generators Based on Linear Recurrences Modulo 2</a> ACM
27  * Transactions on Mathematical Software, 32, 1 (2006). The errata for the paper
28  * are in <a href="http://www.iro.umontreal.ca/~lecuyer/myftp/papers/wellrng-errata.txt">wellrng-errata.txt</a>.</p>
29 
30  * @see <a href="http://www.iro.umontreal.ca/~panneton/WELLRNG.html">WELL Random number generator</a>
31  * @version $Revision: 1003892 $ $Date: 2010-10-02 23:28:56 +0200 (sam. 02 oct. 2010) $
32  * @since 2.2
33 
34  */
35 public class Well44497b extends AbstractWell {
36 
37     /** Serializable version identifier. */
38     private static final long serialVersionUID = 4032007538246675492L;
39 
40     /** Number of bits in the pool. */
41     private static final int K = 44497;
42 
43     /** First parameter of the algorithm. */
44     private static final int M1 = 23;
45 
46     /** Second parameter of the algorithm. */
47     private static final int M2 = 481;
48 
49     /** Third parameter of the algorithm. */
50     private static final int M3 = 229;
51 
52     /** Creates a new random number generator.
53      * <p>The instance is initialized using the current time as the
54      * seed.</p>
55      */
Well44497b()56     public Well44497b() {
57         super(K, M1, M2, M3);
58     }
59 
60     /** Creates a new random number generator using a single int seed.
61      * @param seed the initial seed (32 bits integer)
62      */
Well44497b(int seed)63     public Well44497b(int seed) {
64         super(K, M1, M2, M3, seed);
65     }
66 
67     /** Creates a new random number generator using an int array seed.
68      * @param seed the initial seed (32 bits integers array), if null
69      * the seed of the generator will be related to the current time
70      */
Well44497b(int[] seed)71     public Well44497b(int[] seed) {
72         super(K, M1, M2, M3, seed);
73     }
74 
75     /** Creates a new random number generator using a single long seed.
76      * @param seed the initial seed (64 bits integer)
77      */
Well44497b(long seed)78     public Well44497b(long seed) {
79         super(K, M1, M2, M3, seed);
80     }
81 
82     /** {@inheritDoc} */
83     @Override
next(final int bits)84     protected int next(final int bits) {
85 
86         // compute raw value given by WELL44497a generator
87         // which is NOT maximally-equidistributed
88         final int indexRm1 = iRm1[index];
89         final int indexRm2 = iRm2[index];
90 
91         final int v0       = v[index];
92         final int vM1      = v[i1[index]];
93         final int vM2      = v[i2[index]];
94         final int vM3      = v[i3[index]];
95 
96         // the values below include the errata of the original article
97         final int z0       = (0xFFFF8000 & v[indexRm1]) ^ (0x00007FFF & v[indexRm2]);
98         final int z1       = (v0 ^ (v0 << 24))  ^ (vM1 ^ (vM1 >>> 30));
99         final int z2       = (vM2 ^ (vM2 << 10)) ^ (vM3 << 26);
100         final int z3       = z1      ^ z2;
101         final int z2Prime  = ((z2 << 9) ^ (z2 >>> 23)) & 0xfbffffff;
102         final int z2Second = ((z2 & 0x00020000) != 0) ? (z2Prime ^ 0xb729fcec) : z2Prime;
103         int z4             = z0 ^ (z1 ^ (z1 >>> 20)) ^ z2Second ^ z3;
104 
105         v[index]     = z3;
106         v[indexRm1]  = z4;
107         v[indexRm2] &= 0xFFFF8000;
108         index        = indexRm1;
109 
110         // add Matsumoto-Kurita tempering
111         // to get a maximally-equidistributed generator
112         z4 = z4 ^ ((z4 <<  7) & 0x93dd1400);
113         z4 = z4 ^ ((z4 << 15) & 0xfa118000);
114 
115         return z4 >>> (32 - bits);
116 
117     }
118 
119 }
120