package ij.plugin.filter;
import ij.*;
import ij.gui.GenericDialog;
import ij.gui.DialogListener;
import ij.gui.Roi;
import ij.process.*;
import ij.plugin.ContrastEnhancer;
import java.awt.*;
import java.awt.event.*;
import java.util.Arrays;

/** This plugin implements the Mean, Minimum, Maximum, Variance, Median, Open Maxima, Close Maxima,
 *  Remove Outliers, Remove NaNs and Despeckle commands.
 */
 // Version 2012-07-15 M. Schmid:   Fixes a bug that could cause preview not to work correctly
 // Version 2012-12-23 M. Schmid:   Test for inverted LUT only once (not in each slice)
 // Version 2014-10-10 M. Schmid:   Fixes a bug that caused Threshold=0 when calling from API

public class RankFilters implements ExtendedPlugInFilter, DialogListener {
    public static final int  MEAN=0, MIN=1, MAX=2, VARIANCE=3, MEDIAN=4, OUTLIERS=5, DESPECKLE=6, REMOVE_NAN=7,
            OPEN=8, CLOSE=9;
    public static final int BRIGHT_OUTLIERS = 0, DARK_OUTLIERS = 1;
    private static final String[] outlierStrings = {"Bright","Dark"};
    private static int HIGHEST_FILTER = CLOSE;
    // Filter parameters
    private double radius;
    private double threshold;
    private int whichOutliers;
    private int filterType;
    // Remember filter parameters for the next time
    private static double[] lastRadius = new double[HIGHEST_FILTER+1]; //separate for each filter type
    private static double lastThreshold = 50.;
    private static int lastWhichOutliers = BRIGHT_OUTLIERS;
    // 
    // F u r t h e r   c l a s s   v a r i a b l e s
    int flags = DOES_ALL|SUPPORTS_MASKING|KEEP_PREVIEW;
    private ImagePlus imp;
    private int nPasses = 1;            // The number of passes (color channels * stack slices)
    private PlugInFilterRunner pfr;
    private int pass;
    // M u l t i t h r e a d i n g - r e l a t e d
    private int numThreads = Prefs.getThreads();
    // Current state of processing is in class variables. Thus, stack parallelization must be done
    // ONLY with one thread for the image (not using these class variables):
    private int highestYinCache;        // the highest line read into the cache so far
    private boolean threadWaiting;      // a thread waits until it may read data
    private boolean copyingToCache;     // whether a thread is currently copying data to the cache

    private boolean isMultiStepFilter(int filterType) {
        return filterType>=OPEN;
    }

    /** Setup of the PlugInFilter. Returns the flags specifying the capabilities and needs
     * of the filter.
     *
     * @param arg   Defines type of filter operation
     * @param imp   The ImagePlus to be processed
     * @return      Flags specifying further action of the PlugInFilterRunner
     */    
    public int setup(String arg, ImagePlus imp) {
        this.imp = imp;
        if (arg.equals("mean"))
            filterType = MEAN;
        else if (arg.equals("min"))
            filterType = MIN;
        else if (arg.equals("max"))
            filterType = MAX;
        else if (arg.equals("variance")) {
            filterType = VARIANCE;
            flags |= FINAL_PROCESSING;
        } else if (arg.equals("median"))
            filterType = MEDIAN;
        else if (arg.equals("outliers"))
            filterType = OUTLIERS;
        else if (arg.equals("despeckle"))
            filterType = DESPECKLE;
        else if (arg.equals("close"))
            filterType = CLOSE;
        else if (arg.equals("open"))
            filterType = OPEN;
        else if (arg.equals("nan")) {
            filterType = REMOVE_NAN;
            if (imp!=null && imp.getBitDepth()!=32) {
                IJ.error("RankFilters","\"Remove NaNs\" requires a 32-bit image");
                return DONE;
            }
        } else if (arg.equals("final")) {   //after variance filter, adjust brightness&contrast
            if (imp!=null  && imp.getBitDepth()!=8 && imp.getBitDepth()!=24 && imp.getRoi()==null)
            new ContrastEnhancer().stretchHistogram(imp.getProcessor(), 0.5);
        } else if (arg.equals("masks")) {
            showMasks();
            return DONE;
        } else {
            IJ.error("RankFilters","Argument missing or undefined: "+arg);
            return DONE;
        }
        if (isMultiStepFilter(filterType) && imp!=null) {  //composite filter: 'open maxima' etc:
            Roi roi = imp.getRoi();
            if (roi!=null && !roi.getBounds().contains(new Rectangle(imp.getWidth(), imp.getHeight())))
                //Roi < image? (actually tested: NOT (Roi>=image))
                flags |= SNAPSHOT;          //snapshot for resetRoiBoundary
        }
        return flags;
    }

    public int showDialog(ImagePlus imp, String command, PlugInFilterRunner pfr) {
        if (filterType == DESPECKLE) {
            filterType = MEDIAN;
            radius = 1.0;
        } else {
            GenericDialog gd = new GenericDialog(command+"...");
            radius = lastRadius[filterType]<=0 ? 2 :  lastRadius[filterType];
            gd.addNumericField("Radius", radius, 1, 6, "pixels");
            int digits = imp.getType() == ImagePlus.GRAY32 ? 2 : 0;
            if (filterType==OUTLIERS) {
                gd.addNumericField("Threshold", lastThreshold, digits);
                gd.addChoice("Which outliers", outlierStrings, outlierStrings[lastWhichOutliers]);
                gd.addHelp(IJ.URL+"/docs/menus/process.html#outliers");
            } else if (filterType==REMOVE_NAN)
                gd.addHelp(IJ.URL+"/docs/menus/process.html#nans");
            gd.addPreviewCheckbox(pfr);     //passing pfr makes the filter ready for preview
            gd.addDialogListener(this);     //the DialogItemChanged method will be called on user input
            gd.showDialog();                //display the dialog; preview runs in the  now
            if (gd.wasCanceled()) return DONE;
            IJ.register(this.getClass());   //protect static class variables (filter parameters) from garbage collection
            if (Macro.getOptions() == null) { //interactive only: remember parameters entered
                lastRadius[filterType] = radius;
                if (filterType == OUTLIERS) {
                    lastThreshold = threshold;
                    lastWhichOutliers = whichOutliers;
                }
            }
        }
        this.pfr = pfr;
        flags = IJ.setupDialog(imp, flags); //ask whether to process all slices of stack (if a stack)
        if ((flags&DOES_STACKS)!=0) {
            int size = imp.getWidth() * imp.getHeight();
            Roi roi = imp.getRoi();
            if (roi != null) {
                Rectangle roiRect = roi.getBounds();
                size = roiRect.width * roiRect.height;
            }
            double workToDo = size*(double)radius;  //estimate computing time (arb. units)
            if (filterType==MEAN || filterType==VARIANCE) workToDo *= 0.5;
            else if (filterType==MEDIAN) workToDo *= radius*0.5;
            if (workToDo < 1e6 && imp.getImageStackSize()>=numThreads) {
                numThreads = 1;             //for fast operations, avoid overhead of multi-threading in each image
                flags |= PARALLELIZE_STACKS;
            }
        }
        return flags;
    }

    public boolean dialogItemChanged(GenericDialog gd, AWTEvent e) {
        radius = gd.getNextNumber();
        if (filterType == OUTLIERS) {
            threshold = gd.getNextNumber();
            whichOutliers = gd.getNextChoiceIndex();
        }
        int maxRadius = (filterType==MEDIAN || filterType==OUTLIERS || filterType==REMOVE_NAN) ? 100 : 1000;
        if (gd.invalidNumber() || radius<0 || radius>maxRadius || (filterType==OUTLIERS && threshold <0))
            return false;
        return true;
    }

    public void run(ImageProcessor ip) {
        rank(ip, radius, filterType, whichOutliers, (float)threshold);
        if (IJ.escapePressed())                                 // interrupted by user?
            ip.reset();
    }

    /** Filters an image by any method except 'despecle' or 'remove outliers'.
     *  @param ip      The ImageProcessor that should be filtered (all 4 types supported)
     *  @param radius  Determines the kernel size, see Process>Filters>Show Circular Masks.
     *                 Must not be negative. No checking is done for large values that would
     *                 lead to excessive computing times.
     *  @param filterType May be MEAN, MIN, MAX, VARIANCE, or MEDIAN.
     */
    public void rank(ImageProcessor ip, double radius, int filterType) {
        rank(ip, radius, filterType, 0, 50f);
    }

    /** Filters an image by any method except 'despecle' (for 'despeckle', use 'median' and radius=1)
     * @param ip The image subject to filtering
     * @param radius The kernel radius
     * @param filterType as defined above; DESPECKLE is not a valid type here; use median and
     *        a radius of 1.0 instead
     * @param whichOutliers BRIGHT_OUTLIERS or DARK_OUTLIERS for 'outliers' filter
     * @param threshold Threshold for 'outliers' filter
     */
    public void rank(ImageProcessor ip, double radius, int filterType, int whichOutliers, float threshold) {
        Rectangle roi = ip.getRoi();
        ImageProcessor mask = ip.getMask();
        Rectangle roi1 = null;
        int[] lineRadii = makeLineRadii(radius);

        float minMaxOutliersSign = filterType==MIN ? -1f : 1f;
        if (filterType == OUTLIERS)     //sign is -1 for high outliers: compare number with minimum
            minMaxOutliersSign = (ip.isInvertedLut()==(whichOutliers==DARK_OUTLIERS)) ? -1f : 1f;

        boolean isImagePart = (roi.width<ip.getWidth()) || (roi.height<ip.getHeight());
        boolean[] aborted = new boolean[1];                     // returns whether interrupted during preview or ESC pressed
        for (int ch=0; ch<ip.getNChannels(); ch++) {
            int filterType1 = filterType;
            if (isMultiStepFilter(filterType)) {
                filterType1 = (filterType==OPEN) ? MIN : MAX;
                    if (isImagePart) { //composite filters ('open maxima' etc.) need larger area in first step
                    int kRadius = kRadius(lineRadii);
                    int kHeight = kHeight(lineRadii);
                    Rectangle roiClone = (Rectangle)roi.clone();
                    roiClone.grow(kRadius, kHeight/2);
                    roi1 = roiClone.intersection(new Rectangle(ip.getWidth(), ip.getHeight()));
                    ip.setRoi(roi1);
                }
            }
            doFiltering(ip, lineRadii, filterType1, minMaxOutliersSign, threshold, ch, aborted);
            if (aborted[0]) break;
            if (isMultiStepFilter(filterType)) {
                ip.setRoi(roi);
                ip.setMask(mask);
                int filterType2 = (filterType==OPEN) ? MAX : MIN;
                doFiltering(ip, lineRadii, filterType2, minMaxOutliersSign, threshold, ch, aborted);
                if (aborted[0]) break;
                if (isImagePart)
                    resetRoiBoundary(ip, roi, roi1);
            }
        }
    }

    // Filter a grayscale image or one channel of an RGB image with several threads
    // Implementation: each thread uses the same input buffer (cache), always works on the next unfiltered line
    // Usually, one thread reads reads several lines into the cache, while the others are processing the data.
    // 'aborted[0]' is set if the main thread has been interrupted (during preview) or ESC pressed.
    // 'aborted' must not be a class variable because it signals the other threads to stop; and this may be caused
    // by an interrupted preview thread after the main calculation has been started.
    private void doFiltering(final ImageProcessor ip, final int[] lineRadii, final int filterType,
            final float minMaxOutliersSign, final float threshold, final int colorChannel, final boolean[] aborted) {
        Rectangle roi = ip.getRoi();
        int width = ip.getWidth();
        Object pixels = ip.getPixels();
        int numThreads = Math.min(roi.height, this.numThreads);
        if (numThreads==0)
            return;

        int kHeight = kHeight(lineRadii);
        int kRadius  = kRadius(lineRadii);
        final int cacheWidth = roi.width+2*kRadius;
        final int cacheHeight = kHeight + (numThreads>1 ? 2*numThreads : 0);
        // 'cache' is the input buffer. Each line y in the image is mapped onto cache line y%cacheHeight
        final float[] cache = new float[cacheWidth*cacheHeight];
        highestYinCache = Math.max(roi.y-kHeight/2, 0) - 1; //this line+1 will be read into the cache first 

        final int[] yForThread = new int[numThreads];       //threads announce here which line they currently process
        Arrays.fill(yForThread, -1);
        yForThread[numThreads-1] = roi.y-1;                 //first thread started should begin at roi.y
        //IJ.log("going to filter lines "+roi.y+"-"+(roi.y+roi.height-1)+"; cacheHeight="+cacheHeight);
        final Thread[] threads = new Thread[numThreads-1];  //thread number 0 is this one, not in the array
        for (int t=numThreads-1; t>0; t--) {
            final int ti=t;
            final Thread thread = new Thread(
                    new Runnable() {
                        final public void run() {
                            doFiltering(ip, lineRadii, cache, cacheWidth, cacheHeight,
                                    filterType, minMaxOutliersSign, threshold, colorChannel,
                                    yForThread, ti, aborted);
                        }
                    },
            "RankFilters-"+t);
            thread.setPriority(Thread.currentThread().getPriority());
            thread.start();
            threads[ti-1] = thread;
        }

        doFiltering(ip, lineRadii, cache, cacheWidth, cacheHeight,
                filterType, minMaxOutliersSign, threshold, colorChannel,
                yForThread, 0, aborted);
        for (final Thread thread : threads)
            try {
                    if (thread != null) thread.join();
            } catch (InterruptedException e) {
                aborted[0] = true;
                Thread.currentThread().interrupt();   //keep interrupted status (PlugInFilterRunner needs it)
            }
        showProgress(1.0, ip instanceof ColorProcessor);
        pass++;
    }

    // Filter a grayscale image or one channel of an RGB image using one thread
    //
    // Synchronization: unless a thread is waiting, we avoid the overhead of 'synchronized'
    // statements. That's because a thread waiting for another one should be rare.
    //
    // Data handling: The area needed for processing a line is written into the array 'cache'.
    // This is a stripe of sufficient width for all threads to have each thread processing one
    // line, and some extra space if one thread is finished to start the next line.
    // This array is padded at the edges of the image so that a surrounding with radius kRadius
    // for each pixel processed is within 'cache'. Out-of-image
    // pixels are set to the value of the nearest edge pixel. When adding a new line, the lines in
    // 'cache' are not shifted but rather the smaller array with the start and end pointers of the
    // kernel area is modified to point at the addresses for the next line.
    //
    // Algorithm: For mean and variance, except for very small radius, usually do not calculate the
    // sum over all pixels. This sum is calculated for the first pixel of every line only. For the
    // following pixels, add the new values and subtract those that are not in the sum any more.
    // For min/max, also first look at the new values, use their maximum if larger than the old
    // one. The look at the values not in the area any more; if it does not contain the old
    // maximum, leave the maximum unchanged. Otherwise, determine the maximum inside the area.
    // For outliers, calculate the median only if the pixel deviates by more than the threshold
    // from any pixel in the area. Therfore min or max is calculated; this is a much faster
    // operation than the median.
    private void doFiltering(ImageProcessor ip, int[] lineRadii, float[] cache, int cacheWidth, int cacheHeight,
            int filterType, float minMaxOutliersSign, float threshold, int colorChannel,
            int [] yForThread, int threadNumber, boolean[] aborted) {
        if (aborted[0] || Thread.currentThread().isInterrupted()) return;
        int width = ip.getWidth();
        int height = ip.getHeight();
        Rectangle roi = ip.getRoi();
        
        int kHeight = kHeight(lineRadii);
        int kRadius  = kRadius(lineRadii);
        int kNPoints = kNPoints(lineRadii);

        int xmin = roi.x - kRadius;
        int xmax = roi.x + roi.width + kRadius;
        int[]cachePointers = makeCachePointers(lineRadii, cacheWidth);

        int padLeft = xmin<0 ? -xmin : 0;
        int padRight = xmax>width? xmax-width : 0;
        int xminInside = xmin>0 ? xmin : 0;
        int xmaxInside = xmax<width ? xmax : width;
        int widthInside = xmaxInside - xminInside;
        
        boolean minOrMax = filterType == MIN || filterType == MAX;
        boolean minOrMaxOrOutliers = minOrMax || filterType == OUTLIERS;
        boolean sumFilter = filterType == MEAN || filterType == VARIANCE;
        boolean medianFilter = filterType == MEDIAN || filterType == OUTLIERS;
        double[] sums = sumFilter ? new double[2] : null;
        float[] medianBuf1 = (medianFilter||filterType==REMOVE_NAN) ? new float[kNPoints] : null;
        float[] medianBuf2 = (medianFilter||filterType==REMOVE_NAN) ? new float[kNPoints] : null;

        boolean smallKernel = kRadius < 2;

        Object pixels = ip.getPixels();
        boolean isFloat = pixels instanceof float[];
        float maxValue = isFloat ? Float.NaN : (float)ip.maxValue();
        float[] values = isFloat ? (float[])pixels : new float[roi.width];

        int numThreads = yForThread.length;
        long lastTime = System.currentTimeMillis();
        int previousY = kHeight/2-cacheHeight;
        boolean rgb = ip instanceof ColorProcessor;
        
        while (!aborted[0]) {
            int y = arrayMax(yForThread) + 1;       // y of the next line that needs processing
            yForThread[threadNumber] = y;
            //IJ.log("thread "+threadNumber+" @y="+y+" needs"+(y-kHeight/2)+"-"+(y+kHeight/2)+" highestYinC="+highestYinCache);
            boolean threadFinished = y >= roi.y+roi.height;
            if (numThreads>1 && (threadWaiting || threadFinished))      // 'if' is not synchronized to avoid overhead
                synchronized(this) {
                    notifyAll();                    // we may have blocked another thread
                    //IJ.log("thread "+threadNumber+" @y="+y+" notifying");
                }
            if (threadFinished)
                return;                             // all done, break the loop

            if (threadNumber==0) {                  // main thread checks for abort and ProgressBar
                long time = System.currentTimeMillis();
                if (time-lastTime>100) {
                    lastTime = time;
                    showProgress((y-roi.y)/(double)(roi.height), rgb);
                    if (Thread.currentThread().isInterrupted() || (imp!= null && IJ.escapePressed())) {
                        aborted[0] = true;
                        synchronized(this) {notifyAll();}
                        return;
                    }
                }
            }
            
            for (int i=0; i<cachePointers.length; i++)  //shift kernel pointers to new line
                cachePointers[i] = (cachePointers[i] + cacheWidth*(y-previousY))%cache.length;
            previousY = y;

            if (numThreads>1) {                         // thread synchronization
                int slowestThreadY = arrayMinNonNegative(yForThread); // non-synchronized check to avoid overhead
                if (y - slowestThreadY + kHeight > cacheHeight) {   // we would overwrite data needed by another thread
                    synchronized(this) {
                        slowestThreadY = arrayMinNonNegative(yForThread); //recheck whether we have to wait
                        if (y - slowestThreadY + kHeight > cacheHeight) {
                            do {
                                notifyAll();            // avoid deadlock: wake up others waiting
                                threadWaiting = true;
                                //IJ.log("Thread "+threadNumber+" waiting @y="+y+" slowest@y="+slowestThreadY);
                                try {
                                    wait();
                                    if (aborted[0]) return;
                                } catch (InterruptedException e) {
                                    aborted[0] = true;
                                    notifyAll();
                                    Thread.currentThread().interrupt(); //keep interrupted status (PlugInFilterRunner needs it)
                                    return;
                                }
                                slowestThreadY = arrayMinNonNegative(yForThread);
                            } while (y - slowestThreadY + kHeight > cacheHeight);
                        } //if
                        threadWaiting = false;
                    }
                }
            }

            if (numThreads==1) {                                                            // R E A D
                int yStartReading = y==roi.y ? Math.max(roi.y-kHeight/2, 0) : y+kHeight/2;
                for (int yNew = yStartReading; yNew<=y+kHeight/2; yNew++) { //only 1 line except at start
                    readLineToCacheOrPad(pixels, width, height, roi.y, xminInside, widthInside,
                            cache, cacheWidth, cacheHeight, padLeft, padRight, colorChannel, kHeight, yNew);
                }
            } else {
                if (!copyingToCache || highestYinCache < y+kHeight/2) synchronized(cache) {
                    copyingToCache = true;              // copy new line(s) into cache
                    while (highestYinCache < arrayMinNonNegative(yForThread) - kHeight/2 + cacheHeight - 1) {
                        int yNew = highestYinCache + 1;
                        readLineToCacheOrPad(pixels, width, height, roi.y, xminInside, widthInside,
                            cache, cacheWidth, cacheHeight, padLeft, padRight, colorChannel, kHeight, yNew);
                        highestYinCache = yNew;
                    }
                    copyingToCache = false;
                }
            }

            int cacheLineP = cacheWidth * (y % cacheHeight) + kRadius;  //points to pixel (roi.x, y)
            filterLine(values, width, cache, cachePointers, kNPoints, cacheLineP, roi, y,   // F I L T E R
                    sums, medianBuf1, medianBuf2, minMaxOutliersSign, maxValue, isFloat, filterType,
                    smallKernel, sumFilter, minOrMax, minOrMaxOrOutliers, threshold);
            if (!isFloat)       //Float images: data are written already during 'filterLine'
                writeLineToPixels(values, pixels, roi.x+y*width, roi.width, colorChannel);  // W R I T E
            //IJ.log("thread "+threadNumber+" @y="+y+" line done");
        } // while (!aborted[0]); loop over y (lines)
    }

    private int arrayMax(int[] array) {
        int max = Integer.MIN_VALUE;
        for (int i=0; i<array.length; i++)
            if (array[i] > max) max = array[i];
        return max;
    }

    //returns the minimum of the array, but not less than 0
    private int arrayMinNonNegative(int[] array) {
        int min = Integer.MAX_VALUE;
        for (int i=0; i<array.length; i++)
            if (array[i]<min) min = array[i];
        return min<0 ? 0 : min;
    }

    private void filterLine(float[] values, int width, float[] cache, int[] cachePointers, int kNPoints, int cacheLineP, Rectangle roi, int y,
            double[] sums, float[] medianBuf1, float[] medianBuf2, float minMaxOutliersSign, float maxValue, boolean isFloat, int filterType,
            boolean smallKernel, boolean sumFilter, boolean minOrMax, boolean minOrMaxOrOutliers, float threshold) {
            int valuesP = isFloat ? roi.x+y*width : 0;
            float max = 0f;
            float median = Float.isNaN(cache[cacheLineP]) ? 0 : cache[cacheLineP];  // a first guess
            boolean fullCalculation = true;
            for (int x=0; x<roi.width; x++, valuesP++) {                            // x is with respect to roi.x
                if (fullCalculation) {
                    fullCalculation = smallKernel;  //for small kernel, always use the full area, not incremental algorithm
                    if (minOrMaxOrOutliers)
                        max = getAreaMax(cache, x, cachePointers, 0, -Float.MAX_VALUE, minMaxOutliersSign);
                    if (minOrMax) {
                        values[valuesP] = max*minMaxOutliersSign;
                        continue;
                    }
                    else if (sumFilter)
                        getAreaSums(cache, x, cachePointers, sums);
                } else {
                    if (minOrMaxOrOutliers) {
                        float newPointsMax = getSideMax(cache, x, cachePointers, true, minMaxOutliersSign);
                        if (newPointsMax >= max) { //compare with previous maximum 'max'
                            max = newPointsMax;
                        } else {
                            float removedPointsMax = getSideMax(cache, x, cachePointers, false, minMaxOutliersSign);
                            if (removedPointsMax >= max)
                                max = getAreaMax(cache, x, cachePointers, 1, newPointsMax, minMaxOutliersSign);
                        }
                        if (minOrMax) {
                            values[valuesP] = max*minMaxOutliersSign;
                            continue;
                        }
                    } else if (sumFilter) {
                        addSideSums(cache, x, cachePointers, sums);
                        if (Double.isNaN(sums[0])) //avoid perpetuating NaNs into remaining line
                            fullCalculation = true;
                    }
                }
                if (sumFilter) {
                    if (filterType == MEAN)
                        values[valuesP] = (float)(sums[0]/kNPoints);
                    else    {// Variance: sum of squares - square of sums
                        float value = (float)((sums[1] - sums[0]*sums[0]/kNPoints)/kNPoints);
                        if (value>maxValue) value = maxValue;
                        values[valuesP] = value;
                    }
                } else if (filterType == MEDIAN) {
                    median = getMedian(cache, x, cachePointers, medianBuf1, medianBuf2, kNPoints, median);
                    values[valuesP] = median;
                } else if (filterType == OUTLIERS) {
                    float v = cache[cacheLineP+x];
                    if (v*minMaxOutliersSign+threshold < max) {     //for low outliers: median can't be higher than max (minMaxOutliersSign is +1)
                        median = getMedian(cache, x, cachePointers, medianBuf1, medianBuf2, kNPoints, median);
                        if (v*minMaxOutliersSign+threshold < median*minMaxOutliersSign)
                            v = median;                 //beyond threshold (below if minMaxOutliersSign=+1), replace outlier by median
                    }
                    values[valuesP] = v;
                } else if (filterType == REMOVE_NAN) {   //float only; then 'values' is pixels array
                    if (Float.isNaN(values[valuesP]))
                        values[valuesP] = getNaNAwareMedian(cache, x, cachePointers, medianBuf1, medianBuf2, kNPoints, median);
                    else
                        median = values[valuesP];   //initial guess for the next point
                }
            } // for x
        }

    /** Read a line into the cache (including padding in x).
     *  If y>=height, instead of reading new data, it duplicates the line y=height-1.
     *  If y==0, it also creates the data for y<0, as far as necessary, thus filling the cache with
     *  more than one line (padding by duplicating the y=0 row).
     */
    private static void readLineToCacheOrPad(Object pixels, int width, int height, int roiY, int xminInside, int widthInside,
            float[]cache, int cacheWidth, int cacheHeight, int padLeft, int padRight, int colorChannel,
            int kHeight, int y) {
        int lineInCache = y%cacheHeight;
        if (y < height) {
            readLineToCache(pixels, y*width, xminInside, widthInside,
                    cache, lineInCache*cacheWidth, padLeft, padRight, colorChannel);
            if (y==0) for (int prevY = roiY-kHeight/2; prevY<0; prevY++) {  //for y<0, pad with y=0 border pixels 
                int prevLineInCache = cacheHeight+prevY;
                System.arraycopy(cache, 0, cache, prevLineInCache*cacheWidth, cacheWidth);
            }
        } else
            System.arraycopy(cache, cacheWidth*((height-1)%cacheHeight), cache, lineInCache*cacheWidth, cacheWidth);
    }

    /** Read a line into the cache (includes conversion to flaot). Pad with edge pixels in x if necessary */
    private static void readLineToCache(Object pixels, int pixelLineP, int xminInside, int widthInside,
                                float[] cache, int cacheLineP, int padLeft, int padRight, int colorChannel) {
        if (pixels instanceof byte[]) {
            byte[] bPixels = (byte[])pixels;
            for (int pp=pixelLineP+xminInside, cp=cacheLineP+padLeft; pp<pixelLineP+xminInside+widthInside; pp++,cp++)
                cache[cp] = bPixels[pp]&0xff;
        } else if (pixels instanceof short[]){
            short[] sPixels = (short[])pixels;
            for (int pp=pixelLineP+xminInside, cp=cacheLineP+padLeft; pp<pixelLineP+xminInside+widthInside; pp++,cp++)
                cache[cp] = sPixels[pp]&0xffff;
        } else if (pixels instanceof float[]) {
            System.arraycopy(pixels, pixelLineP+xminInside, cache, cacheLineP+padLeft, widthInside);
        } else {    //RGB
            int[] cPixels = (int[])pixels;
            int shift = 16 - 8*colorChannel;
            int byteMask = 255<<shift;
            for (int pp=pixelLineP+xminInside, cp=cacheLineP+padLeft; pp<pixelLineP+xminInside+widthInside; pp++,cp++)
                cache[cp] = (cPixels[pp]&byteMask)>>shift;
        }
        for (int cp=cacheLineP; cp<cacheLineP+padLeft; cp++)
            cache[cp] = cache[cacheLineP+padLeft];
        for (int cp=cacheLineP+padLeft+widthInside; cp<cacheLineP+padLeft+widthInside+padRight; cp++)
            cache[cp] = cache[cacheLineP+padLeft+widthInside-1];
    }

    /** Write a line to pixels arrax, converting from float (not for float data!)
     *  No checking for overflow/underflow
     */
    private static void writeLineToPixels(float[] values, Object pixels, int pixelP, int length, int colorChannel) {
        if (pixels instanceof byte[]) {
            byte[] bPixels = (byte[])pixels;
            for (int i=0, p=pixelP; i<length; i++,p++)
                bPixels[p] = (byte)(((int)(values[i] + 0.5f))&0xff);
        } else if (pixels instanceof short[]) {
            short[] sPixels = (short[])pixels;
            for (int i=0, p=pixelP; i<length; i++,p++)
                sPixels[p] = (short)(((int)(values[i] + 0.5f))&0xffff);
        } else {    //RGB
            int[] cPixels = (int[])pixels;
            int shift = 16 - 8*colorChannel;
            int resetMask = 0xffffffff^(0xff<<shift);
            for (int i=0, p=pixelP; i<length; i++,p++)
                cPixels[p] = (cPixels[p]&resetMask) | (((int)(values[i] + 0.5f))<<shift);
        }
    }

    /** Get max (or -min if sign=-1) within the kernel area.
     *  @param x between 0 and cacheWidth-1
     *  @param ignoreRight should be 0 for analyzing all data or 1 for leaving out the row at the right
     *  @param max should be -Float.MAX_VALUE or the smallest value the maximum can be */
    private static float getAreaMax(float[] cache, int xCache0, int[] kernel, int ignoreRight, float max, float sign) {
        for (int kk=0; kk<kernel.length; kk++) {    // y within the cache stripe (we have 2 kernel pointers per cache line)
            for (int p=kernel[kk++]+xCache0; p<=kernel[kk]+xCache0-ignoreRight; p++) {
                float v = cache[p]*sign;
                if (max < v) max = v;
            }
        }
        return max;
    }

    /** Get max (or -min if sign=-1) at the right border inside or left border outside the kernel area.
     *  x between 0 and cacheWidth-1 */
    private static float getSideMax(float[] cache, int xCache0, int[] kernel, boolean isRight, float sign) {
        float max = -Float.MAX_VALUE;
        if (!isRight) xCache0--;
        for (int kk= isRight ? 1 : 0; kk<kernel.length; kk+=2) {    // y within the cache stripe (we have 2 kernel pointers per cache line)
            float v = cache[xCache0 + kernel[kk]]*sign;
            if (max < v) max = v;
        }
        return max;
    }

    /** Get sum of values and values squared within the kernel area.
     *  x between 0 and cacheWidth-1
     *  Output is written to array sums[0] = sum; sums[1] = sum of squares */
    private static void getAreaSums(float[] cache, int xCache0, int[] kernel, double[] sums) {
        double sum=0, sum2=0;
        for (int kk=0; kk<kernel.length; kk++) {    // y within the cache stripe (we have 2 kernel pointers per cache line)
            for (int p=kernel[kk++]+xCache0; p<=kernel[kk]+xCache0; p++) {
                float v = cache[p];
                sum += v;
                sum2 += v*v;
            }
        }
        sums[0] = sum;
        sums[1] = sum2;
        return;
    }

    /** Add all values and values squared at the right border inside minus at the left border outside the kernal area.
     *  Output is added or subtracted to/from array sums[0] += sum; sums[1] += sum of squares  when at 
     *  the right border, minus when at the left border */
    private static void addSideSums(float[] cache, int xCache0, int[] kernel, double[] sums) {
        double sum=0, sum2=0;
        for (int kk=0; kk<kernel.length; /*k++;k++ below*/) {
            float v = cache[kernel[kk++]+(xCache0-1)];
            sum -= v;
            sum2 -= v*v;
            v = cache[kernel[kk++]+xCache0];
            sum += v;
            sum2 += v*v;
        }
        sums[0] += sum;
        sums[1] += sum2;
        return;
    }

    /** Get median of values within kernel-sized neighborhood. Kernel size kNPoints should be odd.
     */
    private static float getMedian(float[] cache, int xCache0, int[] kernel,
            float[] aboveBuf, float[]belowBuf, int kNPoints, float guess) {
        int nAbove = 0, nBelow = 0;
        for (int kk=0; kk<kernel.length; kk++) {
            for (int p=kernel[kk++]+xCache0; p<=kernel[kk]+xCache0; p++) {
                float v = cache[p];
                if (v > guess) {
                    aboveBuf[nAbove] = v;
                    nAbove++;
                }
                else if (v < guess) {
                    belowBuf[nBelow] = v;
                    nBelow++;
                }
            }
        }
        int half = kNPoints/2;
        if (nAbove>half)
            return findNthLowestNumber(aboveBuf, nAbove, nAbove-half-1);
        else if (nBelow>half)
            return findNthLowestNumber(belowBuf, nBelow, half);
        else
            return guess;
    }

    /** Get median of values within kernel-sized neighborhood.
     *  NaN data values are ignored; the output is NaN only if there are only NaN values in the
     *  kernel-sized neighborhood */
    private static float getNaNAwareMedian(float[] cache, int xCache0, int[] kernel,
            float[] aboveBuf, float[]belowBuf, int kNPoints, float guess) {
        int nAbove = 0, nBelow = 0;
        for (int kk=0; kk<kernel.length; kk++) {
            for (int p=kernel[kk++]+xCache0; p<=kernel[kk]+xCache0; p++) {
                float v = cache[p];
                if (Float.isNaN(v)) {
                    kNPoints--;
                } else if (v > guess) {
                    aboveBuf[nAbove] = v;
                    nAbove++;
                }
                else if (v < guess) {
                    belowBuf[nBelow] = v;
                    nBelow++;
                }
            }
        }
        if (kNPoints == 0) return Float.NaN;    //only NaN data in the neighborhood?
        int half = kNPoints/2;
        if (nAbove>half)
            return findNthLowestNumber(aboveBuf, nAbove, nAbove-half-1);
        else if (nBelow>half)
            return findNthLowestNumber(belowBuf, nBelow, half);
        else
            return guess;
    }

    /** Find the n-th lowest number in part of an array
     *  @param buf The input array. Only values 0 ... bufLength are read. <code>buf</code> will be modified.
     *  @param bufLength Number of values in <code>buf</code> that should be read
     *  @param n which value should be found; n=0 for the lowest, n=bufLength-1 for the highest
     *  @return the value */
    public final static float findNthLowestNumber(float[] buf, int bufLength, int n) {
        // Hoare's find, algorithm, based on http://www.geocities.com/zabrodskyvlada/3alg.html
        // Contributed by Heinz Klar
        int i,j;
        int l=0;
        int m=bufLength-1;
        float med=buf[n];
        float dum ;

        while (l<m) {
            i=l ;
            j=m ;
            do {
                while (buf[i]<med) i++ ;
                while (med<buf[j]) j-- ;
                dum=buf[j];
                buf[j]=buf[i];
                buf[i]=dum;
                i++ ; j-- ;
            } while ((j>=n) && (i<=n)) ;
            if (j<n) l=i ;
            if (n<i) m=j ;
            med=buf[n] ;
        }
    return med ;
    }

    /** Reset region between inner rectangle 'roi' and outer rectangle 'roi1' to the snapshot */
    private void resetRoiBoundary(ImageProcessor ip, Rectangle roi, Rectangle roi1) {
        int width = ip.getWidth();
        Object pixels = ip.getPixels();
        Object snapshot = ip.getSnapshotPixels();
        for (int y=roi1.y, p = roi1.x+y*width; y<roi.y; y++,p+=width)
            System.arraycopy(snapshot, p, pixels, p, roi1.width);
        int leftWidth = roi.x - roi1.x;
        int rightWidth = roi1.x+roi1.width - (roi.x+roi.width);
        for (int y=roi.y, pL=roi1.x+y*width, pR=roi.x+roi.width+y*width; y<roi.y+roi.height; y++,pL+=width,pR+=width) {
            if (leftWidth > 0)
                System.arraycopy(snapshot, pL, pixels, pL, leftWidth);
            if (rightWidth > 0)
                System.arraycopy(snapshot, pR, pixels, pR, rightWidth);
        }
        for (int y=roi.y+roi.height, p = roi1.x+y*width; y<roi1.y+roi1.height; y++,p+=width)
            System.arraycopy(snapshot, p, pixels, p, roi1.width);
    }

    /** @deprecated
     * Not needed any more, use the rank(ip, ...) method, which creates the kernel */
    public void makeKernel(double radius) {
        this.radius = radius;
    }

    /** Create a circular kernel (structuring element) of a given radius.
     *  @param radius
     *  Radius = 0.5 includes the 4 neighbors of the pixel in the center,
     *  radius = 1 corresponds to a 3x3 kernel size.
     *  @return the circular kernel
     *  The output is an array that gives the length of each line of the structuring element
     *  (kernel) to the left (negative) and to the right (positive):
     *  [0] left in line 0, [1] right in line 0,
     *  [2] left in line 2, ...
     *  The maximum (absolute) value should be kernelRadius.
     *  Array elements at the end:
     *  length-2: nPoints, number of pixels in the kernel area
     *  length-1: kernelRadius in x direction (kernel width is 2*kernelRadius+1)
     *  Kernel height can be calculated as (array length - 1)/2 (odd number);
     *  Kernel radius in y direction is kernel height/2 (truncating integer division).
     *  Note that kernel width and height are the same for the circular kernels used here,
     *  but treated separately for the case of future extensions with non-circular kernels.
     */
    protected int[] makeLineRadii(double radius) {
        if (radius>=1.5 && radius<1.75) //this code creates the same sizes as the previous RankFilters
            radius = 1.75;
        else if (radius>=2.5 && radius<2.85)
            radius = 2.85;
        int r2 = (int) (radius*radius) + 1;
        int kRadius = (int)(Math.sqrt(r2+1e-10));
        int kHeight = 2*kRadius + 1;
        int[] kernel = new int[2*kHeight + 2];
        kernel[2*kRadius]   = -kRadius;
        kernel[2*kRadius+1] =  kRadius;
        int nPoints = 2*kRadius+1;
        for (int y=1; y<=kRadius; y++) {        //lines above and below center together
            int dx = (int)(Math.sqrt(r2-y*y+1e-10));
            kernel[2*(kRadius-y)]   = -dx;
            kernel[2*(kRadius-y)+1] =  dx;
            kernel[2*(kRadius+y)]   = -dx;
            kernel[2*(kRadius+y)+1] =  dx;
            nPoints += 4*dx+2;  //2*dx+1 for each line, above&below
        }
        kernel[kernel.length-2] = nPoints;
        kernel[kernel.length-1] = kRadius;
        //for (int i=0; i<kHeight;i++)IJ.log(i+": "+kernel[2*i]+"-"+kernel[2*i+1]);
        return kernel;
    }

    //kernel height
    private int kHeight(int[] lineRadii) {
        return (lineRadii.length-2)/2;
    }

    //kernel radius in x direction. width is 2+kRadius+1
    private int kRadius(int[] lineRadii) {
        return lineRadii[lineRadii.length-1];
    }
    
    //number of points in kernal area
    private int kNPoints(int[] lineRadii) {
        return lineRadii[lineRadii.length-2];
    }

    //cache pointers for a given kernel
    private int[] makeCachePointers(int[] lineRadii, int cacheWidth) {
        int kRadius = kRadius(lineRadii);
        int kHeight = kHeight(lineRadii);
        int[] cachePointers = new int[2*kHeight];
        for (int i=0; i<kHeight; i++) {
            cachePointers[2*i]   = i*cacheWidth+kRadius + lineRadii[2*i];
            cachePointers[2*i+1] = i*cacheWidth+kRadius + lineRadii[2*i+1];
        }
        return cachePointers;
    }

    void showMasks() {
        int w=150, h=150;
        ImageStack stack = new ImageStack(w, h);
        //for (double r=0.1; r<3; r+=0.01) {
        for (double r=0.5; r<50; r+=0.5) {
            ImageProcessor ip = new FloatProcessor(w,h,new int[w*h]);
            float[] pixels = (float[])ip.getPixels();
            int[] lineRadii = makeLineRadii(r);
            int kHeight = kHeight(lineRadii);
            int kRadius = kRadius(lineRadii);
            int y0 = h/2-kHeight/2;
            for (int i = 0, y = y0; i<kHeight; i++, y++)
                for (int x = w/2+lineRadii[2*i], p = x+y*w; x <= w/2+lineRadii[2*i+1]; x++, p++)
                    pixels[p] = 1f;
            stack.addSlice("radius="+r+", size="+(2*kRadius+1), ip);
        }
        new ImagePlus("Masks", stack).show();
    }

    /** This method is called by ImageJ to set the number of calls to run(ip)
     *  corresponding to 100% of the progress bar */
    public void setNPasses (int nPasses) {
        this.nPasses = nPasses;
        pass = 0;
    }

    private void showProgress(double percent, boolean rgb) {
        int nPasses2 = rgb?nPasses*3:nPasses;
        percent = (double)pass/nPasses2 + percent/nPasses2;
        IJ.showProgress(percent);
    }

}