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/***********************************************************************************************************************
 * Copyright (C) 2010-2013 by the Stratosphere project (http://stratosphere.eu)
 *
 * Licensed 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 eu.stratosphere.pact.runtime.util;


/**
 * Collection of simple mathematical routines.
 *
 */
public final class MathUtils
{
	/**
	 * Computes the logarithm of the given value to the base of 2, rounded down. It corresponds to the
	 * position of the highest non-zero bit. The position is counted, starting with 0 from the least
	 * significant bit to the most significant bit. For example, log2floor(16) = 4, and
	 * log2floor(10) = 3.
	 * 
	 * @param value The value to compute the logarithm for.
	 * @return The logarithm (rounded down) to the base of 2.
	 * @throws ArithmeticException Thrown, if the given value is zero.
	 */
	public static final int log2floor(int value) throws ArithmeticException
	{
		if (value == 0) {
			throw new ArithmeticException("Logarithm of zero is undefined.");
		}
		
		int log = 0;
		while ((value = value >>> 1) != 0) {
			log++;
		}
		
		return log;
	}
	
	/**
	 * Computes the logarithm of the given value to the base of 2. This method throws an error,
	 * if the given argument is not a power of 2.
	 * 
	 * @param value The value to compute the logarithm for.
	 * @return The logarithm to the base of 2.
	 * @throws ArithmeticException Thrown, if the given value is zero.
	 * @throws IllegalArgumentException Thrown, if the given value is not a power of two.
	 */
	public static final int log2strict(int value) throws ArithmeticException, IllegalArgumentException
	{
		if (value == 0) {
			throw new ArithmeticException("Logarithm of zero is undefined.");
		}
		if ((value & (value - 1)) != 0) {
			throw new IllegalArgumentException("The given value " + value + " is not a power of two.");
		}
		
		int log = 0;
		while ((value = value >>> 1) != 0) {
			log++;
		}
		
		return log;
	}
	
	/**
	 * Decrements the given number down to the closest power of two. If the argument is a
	 * power of two, it remains unchanged.
	 * 
	 * @param value The value to round down.
	 * @return The closest value that is a power of to and less or equal than the given value.
	 */
	public static final int roundDownToPowerOf2(int value)
	{
		return Integer.highestOneBit(value);
	}
	
	/**
	 * Casts the given value to a 32 bit integer, if it can be safely done. If the cast would change the numeric
	 * value, this method raises an exception.
	 * 
	 * This method is a protection in places where one expects to be able to safely case, but where unexpected
	 * situations could make the cast unsafe and would cause hidden problems that are hard to track down.
	 * 
	 * @param value The value to be cast to an integer.
	 * @return The given value as an integer.
	 */
	public static final int checkedDownCast(long value) {
		if (value > Integer.MAX_VALUE) {
			throw new IllegalArgumentException("Cannot downcast long value " + value + " to integer.");
		}
		return (int) value;
	}
	
	// ============================================================================================
	
	/**
	 * Prevent Instantiation through private constructor.
	 */
	private MathUtils() {}
}