/* * 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 java.io.Serializable; import org.apache.commons.math3.exception.NotStrictlyPositiveException; import org.apache.commons.math3.exception.OutOfRangeException; /** Base class for random number generators that generates bits streams. * * @since 2.0 */ public abstract class BitsStreamGenerator implements RandomGenerator, Serializable { /** Serializable version identifier */ private static final long serialVersionUID = 20130104L; /** Next gaussian. */ private double nextGaussian; /** * Creates a new random number generator. */ public BitsStreamGenerator() { nextGaussian = Double.NaN; } /** {@inheritDoc} */ public abstract void setSeed(int seed); /** {@inheritDoc} */ public abstract void setSeed(int[] seed); /** {@inheritDoc} */ public abstract void setSeed(long seed); /** Generate next pseudorandom number. * <p>This method is the core generation algorithm. It is used by all the * public generation methods for the various primitive types {@link * #nextBoolean()}, {@link #nextBytes(byte[])}, {@link #nextDouble()}, * {@link #nextFloat()}, {@link #nextGaussian()}, {@link #nextInt()}, * {@link #next(int)} and {@link #nextLong()}.</p> * @param bits number of random bits to produce * @return random bits generated */ protected abstract int next(int bits); /** {@inheritDoc} */ public boolean nextBoolean() { return next(1) != 0; } /** {@inheritDoc} */ public double nextDouble() { final long high = ((long) next(26)) << 26; final int low = next(26); return (high | low) * 0x1.0p-52d; } /** {@inheritDoc} */ public float nextFloat() { return next(23) * 0x1.0p-23f; } /** {@inheritDoc} */ public double nextGaussian() { final double random; if (Double.isNaN(nextGaussian)) { // generate a new pair of gaussian numbers final double x = nextDouble(); final double y = nextDouble(); final double alpha = 2 * Math.PI * x; final double r = Math.sqrt(-2 * Math.log(y)); random = r * Math.cos(alpha); nextGaussian = r * Math.sin(alpha); } else { // use the second element of the pair already generated random = nextGaussian; nextGaussian = Double.NaN; } return random; } /** {@inheritDoc} */ public int nextInt() { return next(32); } /** * {@inheritDoc} * <p>This default implementation is copied from Apache Harmony * java.util.Random (r929253).</p> * * <p>Implementation notes: <ul> * <li>If n is a power of 2, this method returns * {@code (int) ((n * (long) next(31)) >> 31)}.</li> * * <li>If n is not a power of 2, what is returned is {@code next(31) % n} * with {@code next(31)} values rejected (i.e. regenerated) until a * value that is larger than the remainder of {@code Integer.MAX_VALUE / n} * is generated. Rejection of this initial segment is necessary to ensure * a uniform distribution.</li></ul></p> */ public int nextInt(int n) throws IllegalArgumentException { if (n > 0) { if ((n & -n) == n) { return (int) ((n * (long) next(31)) >> 31); } int bits; int val; do { bits = next(31); val = bits % n; } while (bits - val + (n - 1) < 0); return val; } throw new NotStrictlyPositiveException(n); } /** {@inheritDoc} */ public long nextLong() { final long high = ((long) next(32)) << 32; final long low = ((long) next(32)) & 0xffffffffL; return high | low; } /** * Returns a pseudorandom, uniformly distributed {@code long} value * between 0 (inclusive) and the specified value (exclusive), drawn from * this random number generator's sequence. * * @param n the bound on the random number to be returned. Must be * positive. * @return a pseudorandom, uniformly distributed {@code long} * value between 0 (inclusive) and n (exclusive). * @throws IllegalArgumentException if n is not positive. */ public long nextLong(long n) throws IllegalArgumentException { if (n > 0) { long bits; long val; do { bits = ((long) next(31)) << 32; bits |= ((long) next(32)) & 0xffffffffL; val = bits % n; } while (bits - val + (n - 1) < 0); return val; } throw new NotStrictlyPositiveException(n); } /** * Clears the cache used by the default implementation of * {@link #nextGaussian}. */ public void clear() { nextGaussian = Double.NaN; } /** * Generates random bytes and places them into a user-supplied array. * * <p> * The array is filled with bytes extracted from random integers. * This implies that the number of random bytes generated may be larger than * the length of the byte array. * </p> * * @param bytes Array in which to put the generated bytes. Cannot be {@code null}. */ public void nextBytes(byte[] bytes) { nextBytesFill(bytes, 0, bytes.length); } /** * Generates random bytes and places them into a user-supplied array. * * <p> * The array is filled with bytes extracted from random integers. * This implies that the number of random bytes generated may be larger than * the length of the byte array. * </p> * * @param bytes Array in which to put the generated bytes. Cannot be {@code null}. * @param start Index at which to start inserting the generated bytes. * @param len Number of bytes to insert. * @throws OutOfRangeException if {@code start < 0} or {@code start >= bytes.length}. * @throws OutOfRangeException if {@code len < 0} or {@code len > bytes.length - start}. */ public void nextBytes(byte[] bytes, int start, int len) { if (start < 0 || start >= bytes.length) { throw new OutOfRangeException(start, 0, bytes.length); } if (len < 0 || len > bytes.length - start) { throw new OutOfRangeException(len, 0, bytes.length - start); } nextBytesFill(bytes, start, len); } /** * Generates random bytes and places them into a user-supplied array. * * <p> * The array is filled with bytes extracted from random integers. * This implies that the number of random bytes generated may be larger than * the length of the byte array. * </p> * * @param bytes Array in which to put the generated bytes. Cannot be {@code null}. * @param start Index at which to start inserting the generated bytes. * @param len Number of bytes to insert. */ private void nextBytesFill(byte[] bytes, int start, int len) { int index = start; // Index of first insertion. // Index of first insertion plus multiple 4 part of length (i.e. length // with two least significant bits unset). final int indexLoopLimit = index + (len & 0x7ffffffc); // Start filling in the byte array, 4 bytes at a time. while (index < indexLoopLimit) { final int random = next(32); bytes[index++] = (byte) random; bytes[index++] = (byte) (random >>> 8); bytes[index++] = (byte) (random >>> 16); bytes[index++] = (byte) (random >>> 24); } final int indexLimit = start + len; // Index of last insertion + 1. // Fill in the remaining bytes. if (index < indexLimit) { int random = next(32); while (true) { bytes[index++] = (byte) random; if (index < indexLimit) { random >>>= 8; } else { break; } } } } }