/* * Copyright 2009 Phil Burk, Mobileer Inc * * 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 com.jsyn.unitgen; /** * Sine oscillator generates a frequency controlled sine wave. It is implemented using a fast Taylor * expansion. * * @author Phil Burk (C) 2009 Mobileer Inc */ public class SineOscillator extends UnitOscillator { public SineOscillator() { } public SineOscillator(double freq) { frequency.set(freq); } public SineOscillator(double freq, double amp) { frequency.set(freq); amplitude.set(amp); } @Override public void generate(int start, int limit) { double[] frequencies = frequency.getValues(); double[] amplitudes = amplitude.getValues(); double[] outputs = output.getValues(); double currentPhase = phase.getValue(); for (int i = start; i < limit; i++) { /* Generate sawtooth phasor to provide phase for sine generation. */ double phaseIncrement = convertFrequencyToPhaseIncrement(frequencies[i]); currentPhase = incrementWrapPhase(currentPhase, phaseIncrement); if (true) { double value = fastSin(currentPhase); outputs[i] = value * amplitudes[i]; } else { // Slower but more accurate implementation. outputs[i] = Math.sin(currentPhase * Math.PI) * amplitudes[i]; } } phase.setValue(currentPhase); } /** * Calculate sine using Taylor expansion. Do not use values outside the range. * * @param currentPhase in the range of -1.0 to +1.0 for one cycle */ public static double fastSin(double currentPhase) { // Factorial constants so code is easier to read. final double IF3 = 1.0 / (2 * 3); final double IF5 = IF3 / (4 * 5); final double IF7 = IF5 / (6 * 7); final double IF9 = IF7 / (8 * 9); final double IF11 = IF9 / (10 * 11); /* Wrap phase back into region where results are more accurate. */ double yp = (currentPhase > 0.5) ? 1.0 - currentPhase : ((currentPhase < (-0.5)) ? (-1.0) - currentPhase : currentPhase); double x = yp * Math.PI; double x2 = (x * x); /* Taylor expansion out to x**11/11! factored into multiply-adds */ double fastsin = x * (x2 * (x2 * (x2 * (x2 * ((x2 * (-IF11)) + IF9) - IF7) + IF5) - IF3) + 1); return fastsin; } }