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+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.math3.random;
+
+import org.apache.commons.math3.exception.NotStrictlyPositiveException;
+import org.apache.commons.math3.util.FastMath;
+
+/**
+ * Abstract class implementing the {@link RandomGenerator} interface. Default implementations for
+ * all methods other than {@link #nextDouble()} and {@link #setSeed(long)} are provided.
+ *
+ * <p>All data generation methods are based on {@code code nextDouble()}. Concrete implementations
+ * <strong>must</strong> override this method and <strong>should</strong> provide better / more
+ * performant implementations of the other methods if the underlying PRNG supplies them.
+ *
+ * @since 1.1
+ */
+public abstract class AbstractRandomGenerator implements RandomGenerator {
+
+ /**
+ * Cached random normal value. The default implementation for {@link #nextGaussian} generates
+ * pairs of values and this field caches the second value so that the full algorithm is not
+ * executed for every activation. The value {@code Double.NaN} signals that there is no cached
+ * value. Use {@link #clear} to clear the cached value.
+ */
+ private double cachedNormalDeviate = Double.NaN;
+
+ /** Construct a RandomGenerator. */
+ public AbstractRandomGenerator() {
+ super();
+ }
+
+ /**
+ * Clears the cache used by the default implementation of {@link #nextGaussian}. Implementations
+ * that do not override the default implementation of {@code nextGaussian} should call this
+ * method in the implementation of {@link #setSeed(long)}
+ */
+ public void clear() {
+ cachedNormalDeviate = Double.NaN;
+ }
+
+ /** {@inheritDoc} */
+ public void setSeed(int seed) {
+ setSeed((long) seed);
+ }
+
+ /** {@inheritDoc} */
+ public void setSeed(int[] seed) {
+ // the following number is the largest prime that fits in 32 bits (it is 2^32 - 5)
+ final long prime = 4294967291l;
+
+ long combined = 0l;
+ for (int s : seed) {
+ combined = combined * prime + s;
+ }
+ setSeed(combined);
+ }
+
+ /**
+ * Sets the seed of the underlying random number generator using a {@code long} seed. Sequences
+ * of values generated starting with the same seeds should be identical.
+ *
+ * <p>Implementations that do not override the default implementation of {@code nextGaussian}
+ * should include a call to {@link #clear} in the implementation of this method.
+ *
+ * @param seed the seed value
+ */
+ public abstract void setSeed(long seed);
+
+ /**
+ * Generates random bytes and places them into a user-supplied byte array. The number of random
+ * bytes produced is equal to the length of the byte array.
+ *
+ * <p>The default implementation fills the array with bytes extracted from random integers
+ * generated using {@link #nextInt}.
+ *
+ * @param bytes the non-null byte array in which to put the random bytes
+ */
+ public void nextBytes(byte[] bytes) {
+ int bytesOut = 0;
+ while (bytesOut < bytes.length) {
+ int randInt = nextInt();
+ for (int i = 0; i < 3; i++) {
+ if (i > 0) {
+ randInt >>= 8;
+ }
+ bytes[bytesOut++] = (byte) randInt;
+ if (bytesOut == bytes.length) {
+ return;
+ }
+ }
+ }
+ }
+
+ /**
+ * Returns the next pseudorandom, uniformly distributed {@code int} value from this random
+ * number generator's sequence. All 2<font size="-1"><sup>32</sup></font> possible {@code int}
+ * values should be produced with (approximately) equal probability.
+ *
+ * <p>The default implementation provided here returns
+ *
+ * <pre>
+ * <code>(int) (nextDouble() * Integer.MAX_VALUE)</code>
+ * </pre>
+ *
+ * @return the next pseudorandom, uniformly distributed {@code int} value from this random
+ * number generator's sequence
+ */
+ public int nextInt() {
+ return (int) ((2d * nextDouble() - 1d) * Integer.MAX_VALUE);
+ }
+
+ /**
+ * Returns a pseudorandom, uniformly distributed {@code int} value between 0 (inclusive) and the
+ * specified value (exclusive), drawn from this random number generator's sequence.
+ *
+ * <p>The default implementation returns
+ *
+ * <pre>
+ * <code>(int) (nextDouble() * n</code>
+ * </pre>
+ *
+ * @param n the bound on the random number to be returned. Must be positive.
+ * @return a pseudorandom, uniformly distributed {@code int} value between 0 (inclusive) and n
+ * (exclusive).
+ * @throws NotStrictlyPositiveException if {@code n <= 0}.
+ */
+ public int nextInt(int n) {
+ if (n <= 0) {
+ throw new NotStrictlyPositiveException(n);
+ }
+ int result = (int) (nextDouble() * n);
+ return result < n ? result : n - 1;
+ }
+
+ /**
+ * Returns the next pseudorandom, uniformly distributed {@code long} value from this random
+ * number generator's sequence. All 2<font size="-1"><sup>64</sup></font> possible {@code long}
+ * values should be produced with (approximately) equal probability.
+ *
+ * <p>The default implementation returns
+ *
+ * <pre>
+ * <code>(long) (nextDouble() * Long.MAX_VALUE)</code>
+ * </pre>
+ *
+ * @return the next pseudorandom, uniformly distributed {@code long} value from this random
+ * number generator's sequence
+ */
+ public long nextLong() {
+ return (long) ((2d * nextDouble() - 1d) * Long.MAX_VALUE);
+ }
+
+ /**
+ * Returns the next pseudorandom, uniformly distributed {@code boolean} value from this random
+ * number generator's sequence.
+ *
+ * <p>The default implementation returns
+ *
+ * <pre>
+ * <code>nextDouble() <= 0.5</code>
+ * </pre>
+ *
+ * @return the next pseudorandom, uniformly distributed {@code boolean} value from this random
+ * number generator's sequence
+ */
+ public boolean nextBoolean() {
+ return nextDouble() <= 0.5;
+ }
+
+ /**
+ * Returns the next pseudorandom, uniformly distributed {@code float} value between {@code 0.0}
+ * and {@code 1.0} from this random number generator's sequence.
+ *
+ * <p>The default implementation returns
+ *
+ * <pre>
+ * <code>(float) nextDouble() </code>
+ * </pre>
+ *
+ * @return the next pseudorandom, uniformly distributed {@code float} value between {@code 0.0}
+ * and {@code 1.0} from this random number generator's sequence
+ */
+ public float nextFloat() {
+ return (float) nextDouble();
+ }
+
+ /**
+ * Returns the next pseudorandom, uniformly distributed {@code double} value between {@code 0.0}
+ * and {@code 1.0} from this random number generator's sequence.
+ *
+ * <p>This method provides the underlying source of random data used by the other methods.
+ *
+ * @return the next pseudorandom, uniformly distributed {@code double} value between {@code 0.0}
+ * and {@code 1.0} from this random number generator's sequence
+ */
+ public abstract double nextDouble();
+
+ /**
+ * Returns the next pseudorandom, Gaussian ("normally") distributed {@code double} value with
+ * mean {@code 0.0} and standard deviation {@code 1.0} from this random number generator's
+ * sequence.
+ *
+ * <p>The default implementation uses the <em>Polar Method</em> due to G.E.P. Box, M.E. Muller
+ * and G. Marsaglia, as described in D. Knuth, <u>The Art of Computer Programming</u>, 3.4.1C.
+ *
+ * <p>The algorithm generates a pair of independent random values. One of these is cached for
+ * reuse, so the full algorithm is not executed on each activation. Implementations that do not
+ * override this method should make sure to call {@link #clear} to clear the cached value in the
+ * implementation of {@link #setSeed(long)}.
+ *
+ * @return the next pseudorandom, Gaussian ("normally") distributed {@code double} value with
+ * mean {@code 0.0} and standard deviation {@code 1.0} from this random number generator's
+ * sequence
+ */
+ public double nextGaussian() {
+ if (!Double.isNaN(cachedNormalDeviate)) {
+ double dev = cachedNormalDeviate;
+ cachedNormalDeviate = Double.NaN;
+ return dev;
+ }
+ double v1 = 0;
+ double v2 = 0;
+ double s = 1;
+ while (s >= 1) {
+ v1 = 2 * nextDouble() - 1;
+ v2 = 2 * nextDouble() - 1;
+ s = v1 * v1 + v2 * v2;
+ }
+ if (s != 0) {
+ s = FastMath.sqrt(-2 * FastMath.log(s) / s);
+ }
+ cachedNormalDeviate = v2 * s;
+ return v1 * s;
+ }
+}