Normalizes an angle to a relative angle. : Math Functions « Development « Java Tutorial

 * Copyright (c) 2001, 2008 Mathew A. Nelson and Robocode contributors
 * All rights reserved. This program and the accompanying materials
 * are made available under the terms of the Common Public License v1.0
 * which accompanies this distribution, and is available at
 * Contributors:
 *     Mathew A. Nelson
 *     - Initial API and implementation
 *     Flemming N. Larsen
 *     - Moved all methods to classes like FileUtil, StringUtil, WindowUtil,
 *       Logger etc. exception for the following methods, which have been kept
 *       here as legacy robots make use of these methods:
 *       - normalAbsoluteAngle()
 *       - normalNearAbsoluteAngle()
 *       - normalRelativeAngle()
 *     - The isNear() was made public
 *     - Optimized and provided javadocs for all methods

import static java.lang.Math.PI;
import java.util.Random;

 * Utility class that provide methods for normalizing angles.
 * @author Mathew A. Nelson (original)
 * @author Flemming N. Larsen (contributor)

public class Utils {
  private final static double TWO_PI = 2 * PI;
   * Normalizes an angle to a relative angle.
   * The normalized angle will be in the range from -PI to PI, where PI
   * itself is not included.
   * @param angle the angle to normalize
   * @return the normalized angle that will be in the range of [-PI,PI[
  public static double normalRelativeAngle(double angle) {
    return (angle %= TWO_PI) >= 0 ? (angle < PI) ? angle : angle - TWO_PI : (angle >= -PI) ? angle : angle + TWO_PI;

6.17.Math Functions
6.17.1.Math Class Methods
6.17.2.Use math functions
6.17.3.Testing the Math class methods
6.17.4.Floating Point Number Enhancements in JDK 6
6.17.10.Demonstrate toDegrees() and toRadians().
6.17.11.Find absolute value of float, int, double and long using Math.abs
6.17.12.Find ceiling value of a number using Math.ceil
6.17.13.Find exponential value of a number using Math.exp
6.17.14.Find floor value of a number using Math.floor
6.17.15.Find maximum of two numbers using Math.max
6.17.16.Find natural logarithm value of a number using Math.log
6.17.17.Find power using Math.pow
6.17.18.Find square root of a number using Math.sqrt
6.17.19.Round Java float and double numbers using Math.round
6.17.21.Normalizes an angle to a relative angle.
6.17.22.Normalizes an angle to an absolute angle.
6.17.23.Normalizes an angle to be near an absolute angle
6.17.24.Calculate the floor of the log, base 2
6.17.25.Greatest Common Divisor (GCD) of positive integer numbers
6.17.26.Least Common Multiple (LCM) of two strictly positive integer numbers
6.17.27.Moving Average
6.17.28.Normalize an angle in a 2&pi wide interval around a center value.
6.17.29.Returns n!. Shorthand for n Factorial, the product of the numbers 1,...,n as a double.
6.17.30.Returns n!. Shorthand for n Factorial, the product of the numbers 1,...,n.
6.17.31.Returns the hyperbolic cosine of x.
6.17.32.Returns the hyperbolic sine of x.
6.17.33.Returns the natural log of the ( Binomial Coefficient
6.17.34.Returns the natural logarithm of n!.
6.17.35.Round the given value to the specified number of decimal places. The value is rounded using the BigDecimal.ROUND_HALF_UP method.
6.17.36.Value is rounded using the given method which is any method defined in BigDecimal
6.17.37.sqrt(a^2 + b^2) without under/overflow