Here you can find the source of reduceAngle(double theta)
public static double reduceAngle(double theta)
//package com.java2s; /*//from w w w. j a v a 2 s .c o m * __ .__ .__ ._____. * _/ |_ _______ __|__| ____ | | |__\_ |__ ______ * \ __\/ _ \ \/ / |/ ___\| | | || __ \ / ___/ * | | ( <_> > <| \ \___| |_| || \_\ \\___ \ * |__| \____/__/\_ \__|\___ >____/__||___ /____ > * \/ \/ \/ \/ * * Copyright (c) 2006-2011 Karsten Schmidt * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Lesser General Public * License as published by the Free Software Foundation; either * version 2.1 of the License, or (at your option) any later version. * * http://creativecommons.org/licenses/LGPL/2.1/ * * This library is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this library; if not, write to the Free Software * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA */ public class Main { /** * PI */ public static final float PI = 3.14159265358979323846f; /** * PI/2 */ public static final float HALF_PI = PI / 2; /** * PI*2 */ public static final float TWO_PI = PI * 2; public static double reduceAngle(double theta) { theta %= TWO_PI; if (Math.abs(theta) > PI) { theta = theta - TWO_PI; } if (Math.abs(theta) > HALF_PI) { theta = PI - theta; } return theta; } /** * Reduces the given angle into the -PI/4 ... PI/4 interval for faster * computation of sin/cos. This method is used by {@link #sin(float)} & * {@link #cos(float)}. * * @param theta * angle in radians * @return reduced angle * @see #sin(float) * @see #cos(float) */ public static float reduceAngle(float theta) { theta %= TWO_PI; if (Math.abs(theta) > PI) { theta = theta - TWO_PI; } if (Math.abs(theta) > HALF_PI) { theta = PI - theta; } return theta; } }