/* This file is part of the source code for 3D-XplorMath-J, Version 1.0 (January 2008). * Copyright (c) 2008 The 3D-XplorMath Consortium (http://3d-xplormath.org). * This source code is released under a BSD License, which allows redistribution * in source and binary form, with or without modification, provided copyright * and license information are included, and with no warranty or guarantee of * any kind. For details, see http://3d-xplormath.org/j/source/BSDLicense.txt */ package vmm.planecurve.parametric; import vmm.core.RealParamAnimateable; /** * Defines a Lissajous curve as a parametric plane curve. The two amplitudes, frequencies, * and a phase of the curve are parameters that can be set by the user. By default, * the curve has amplitudes 2 and 2, frequencies 3 and 5, and phase 0 and is defined on the * intervale [0,2pi]. */ public class Lissajous extends PlaneCurveParametric { private RealParamAnimateable amplitude1; // Three parameters that affect the appearance of the exhibit private RealParamAnimateable amplitude2; private RealParamAnimateable frequency1; private RealParamAnimateable frequency2; private RealParamAnimateable phase; public Lissajous() { tResolution.setValueAndDefault(500); amplitude1 = new RealParamAnimateable("vmm.planecurve.parametric.SineCurve.amplitude", 2, 2, 2); amplitude2 = new RealParamAnimateable("vmm.planecurve.parametric.SineCurve.amplitude", 2, 2, 2); frequency1 = new RealParamAnimateable("vmm.planecurve.parametric.SineCurve.frequency", 3, 1, 5); frequency2 = new RealParamAnimateable("vmm.planecurve.parametric.SineCurve.frequency", 5, 1, 7); phase = new RealParamAnimateable("vmm.planecurve.parametric.SineCurve.phase", 0, 0, 0); phase.setMinimumValueForInput(0); // Restrict user input phase to the range 0 to 2*pi phase.setMaximumValueForInput(2*Math.PI); frequency1.setMinimumValueForInput(Double.MIN_VALUE); // Restrict user input for frequency to positive values. frequency2.setMinimumValueForInput(Double.MIN_VALUE); // Restrict user input for frequency to positive values. addParameter(phase); // Add parameters in the REVERSE of the order that they will appear in dialog boxes addParameter(frequency1); addParameter(frequency2); addParameter(amplitude1); addParameter(amplitude2); tmin.setValueAndDefault(0); // Adjust inherited parameters tmax.setValueAndDefaultFromString("2*pi"); setDefaultWindow(-4,4,-4,4); // Adjust requested range of restricted x- and y-values } /** * Define the x-coordinate function for the curve. */ public double xValue(double t) { double aa = amplitude1.getValue(); // Get the current values of the three parameters. long n = Math.round(frequency2.getValue()); double p = phase.getValue(); return aa * Math.sin( n * t + p ); } /** * Define the y-coordinate function for the curve. */ public double yValue(double t) { double bb = amplitude2.getValue(); long m = Math.round(frequency1.getValue()); return bb * Math.cos( m * t ); } }