Here is a code to calculate average series of length N without the problem of overflow that naive average calculation could face.
/** * Copyright (c) 2010, Maxim Veksler* All rights reserved. * * Redistribution and use in source and binary forms, with or without modification, * are permitted provided that the following conditions are met: * * Redistributions of source code must retain the above copyright notice, this list * of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. Neither the name * of the http://bytecoded.blogspot.com/ nor the names of its contributors * may be used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF * THE POSSIBILITY OF SUCH DAMAGE. */ /** * Calculate average of arbitrary length series of doubles, running average ensures * result won't overflow. * * Algorithm: CELLCOUNT represents number of cells calculated so far. * For each : cell * avg = ((CELLCOUNT-1) * avg) + ((1/CELLCOUNT) * avg) * * @param series vararg list of parameters (array of doubles). * @return Average calculated from supplied series. */ public static double movingAverage(double... series) { if(series.length < 1) { return 0; } double avg = series[0]; for(int i = 1; i < series.length; i++) { avg = (avg * ((double)i/(i+1))) + (series[i] * ((double)1/(i+1))); } return avg; }
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