sascha@434: package de.intevation.gnv.math;
sascha@434: 
sascha@434: import com.vividsolutions.jts.geom.Coordinate;
sascha@434: import com.vividsolutions.jts.geom.Envelope;
sascha@434: 
sascha@515: import com.vividsolutions.jts.index.strtree.STRtree;
sascha@515: 
sascha@515: import java.awt.Dimension;
sascha@515: 
sascha@515: import java.io.Serializable;
sascha@515: 
sascha@515: import java.util.Arrays;
sascha@515: import java.util.List;
sascha@434: 
sascha@434: import org.apache.log4j.Logger;
sascha@434: 
sascha@445: /**
sascha@808:  * Interpolates parameter values along a given line string from surface
sascha@808:  * to the sea ground to generate "Profilschnitte".
sascha@808:  *
sascha@780:  * @author <a href="mailto:sascha.teichmann@intevation.de">Sascha L. Teichmann</a>
sascha@445:  */
sascha@434: public class Interpolation3D
sascha@445: implements   Serializable
sascha@434: {
sascha@434:     private static Logger log = Logger.getLogger(Interpolation3D.class);
sascha@434: 
sascha@808:     /**
sascha@808:      * The default width of the interpolation: {@value}
sascha@808:      */
sascha@434:     public static final int DEFAULT_WIDTH  = 1024;
sascha@808: 
sascha@808:     /**
sascha@808:      * The default height of the interpolation: {@value}
sascha@808:      */
sascha@434:     public static final int DEFAULT_HEIGHT =  768;
sascha@434: 
sascha@808:     /**
sascha@808:      * Epsilon for numerical stability.
sascha@808:      */
sascha@515:     public static final double EPS = 1e-6d;
sascha@515: 
sascha@808:     /**
sascha@808:      * The width of the interpolation.
sascha@808:      */
sascha@434:     protected int width;
sascha@808: 
sascha@808:     /**
sascha@808:      * The height of the interpolation.
sascha@808:      */
sascha@434:     protected int height;
sascha@434: 
sascha@808:     /**
sascha@808:      * The cell width of the interpolation in world units.
sascha@808:      */
sascha@521:     protected double cellWidth;
sascha@808: 
sascha@808:     /**
sascha@808:      * The cell height of the interpolation in world units.
sascha@808:      */
sascha@521:     protected double cellHeight;
sascha@521: 
sascha@808:     /**
sascha@808:      * The generated raster.
sascha@808:      */
sascha@434:     protected double [] raster;
sascha@808: 
sascha@808:     /**
sascha@808:      * The sea ground depth along the line string.
sascha@808:      */
sascha@434:     protected double [] depths;
sascha@434: 
sascha@808:     /**
sascha@808:      * Default constructor.
sascha@808:      */
sascha@434:     public Interpolation3D() {
sascha@434:         this(DEFAULT_WIDTH, DEFAULT_HEIGHT);
sascha@434:     }
sascha@434: 
sascha@808:     /**
sascha@808:      * Constructor to create a Interpolation3D with a given size.
sascha@808:      * @param size The size of the interpolation.
sascha@808:      */
sascha@445:     public Interpolation3D(Dimension size) {
sascha@445:         this(size.width, size.height);
sascha@445:     }
sascha@445: 
sascha@808:     /**
sascha@808:      * Constructor to create a Interpolation3D with a given size.
sascha@808:      * @param width The width of the interpolation.
sascha@808:      * @param height the height of the interpolation.
sascha@808:      */
sascha@434:     public Interpolation3D(int width, int height) {
sascha@434:         this.width  = width;
sascha@434:         this.height = height;
sascha@434:     }
sascha@434: 
sascha@808:     /**
sascha@808:      * Returns the raster height of the interpolation.
sascha@808:      * @return The raster height of the interpolation.
sascha@808:      */
sascha@434:     public int getHeight() {
sascha@434:         return height;
sascha@434:     }
sascha@434: 
sascha@808:     /**
sascha@808:      * Returns the raster width of the interpolation.
sascha@808:      * @return The raster width of the interpolation.
sascha@808:      */
sascha@434:     public int getWidth() {
sascha@434:         return width;
sascha@434:     }
sascha@434: 
sascha@808:     /**
sascha@808:      * Returns the cell width of the interpolation in world units.
sascha@808:      * @return The cell width of the interpolation in world units.
sascha@808:      */
sascha@521:     public double getCellWidth() {
sascha@521:         return cellWidth;
sascha@521:     }
sascha@521: 
sascha@808:     /**
sascha@808:      * Returns the cell height of the interpolation in world units.
sascha@808:      * @return The cell height of the interpolation in world units.
sascha@808:      */
sascha@521:     public double getCellHeight() {
sascha@521:         return cellHeight;
sascha@521:     }
sascha@521: 
sascha@808:     /**
sascha@808:      * Returns the generated raster.
sascha@808:      * @return The generated raster.
sascha@808:      */
sascha@434:     public double [] getRaster() {
sascha@434:         return raster;
sascha@434:     }
sascha@434: 
sascha@808:     /**
sascha@808:      * Returns the depths along the line string path.
sascha@808:      * @return The depth along the line string path.
sascha@808:      */
sascha@434:     public double [] getDepths() {
sascha@434:         return depths;
sascha@434:     }
sascha@434: 
sascha@808:     /**
sascha@808:      * Returns the deepest depth along the line string path.
sascha@808:      * @return The deepest depth along the line string path.
sascha@808:      */
sascha@445:     public double getMaxDepth() {
sascha@445:         double maxDepth = Double.MAX_VALUE;
sascha@445:         for (int i = depths!=null?depths.length-1:0; i >= 0; --i) {
sascha@446:             double d = depths[i];
sascha@446:             if (!Double.isNaN(d) && d < maxDepth) {
sascha@446:                 maxDepth = d;
sascha@445:             }
sascha@445:         }
sascha@445:         return maxDepth;
sascha@445:     }
sascha@445: 
sascha@808:     /**
sascha@808:      * Interpolates parameters along a given line string path from the surface
sascha@808:      * to the sea ground.
sascha@808:      * @param path The line string path.
sascha@808:      * @param points The sample points.
sascha@808:      * @param from Start point in scalar terms of the line string.
sascha@808:      * @param to End point in scalar terms of the line string.
sascha@808:      * @param metrics The used metric.
sascha@808:      * @param xyDepth The callback to query the depth at a given point.
sascha@808:      * @return true if the interpolation succeeds, else false.
sascha@808:      */
sascha@434:     public boolean interpolate(
sascha@434:         List<? extends Coordinate> path,
sascha@434:         List<? extends XYColumn>   points,
sascha@434:         double                     from,
sascha@434:         double                     to,
sascha@434:         Metrics                    metrics,
sascha@434:         XYDepth                    xyDepth
sascha@434:     ) {
sascha@434:         boolean debug = log.isDebugEnabled();
sascha@434: 
sascha@434:         int N = path.size();
sascha@434:         int M = points.size();
sascha@434: 
sascha@434:         if (debug) {
sascha@434:             log.debug("Size of path: " + N);
sascha@434:             log.debug("Size of points: " + M);
sascha@434:         }
sascha@434: 
sascha@434:         if (M < 1 || N < 2) { // nothing to do
sascha@434:             return false;
sascha@434:         }
sascha@434: 
sascha@518:         List<GridCell> cells = GridCell.pointsToGridCells(
sascha@528:             points, Interpolation2D.relevantArea(path, points));
sascha@434: 
sascha@515:         if (cells.isEmpty()) {
sascha@515:             log.warn("no cells found");
sascha@515:             return false;
sascha@434:         }
sascha@434: 
sascha@434:         // put into spatial index to speed up finding neighbors.
sascha@515:         STRtree spatialIndex = new STRtree();
sascha@434: 
sascha@515:         for (GridCell cell: cells) {
sascha@515:             spatialIndex.insert(cell.getEnvelope(), cell);
sascha@434:         }
sascha@434: 
sascha@434:         LinearToMap linearToMap = new LinearToMap(
sascha@434:             path, from, to, metrics);
sascha@434: 
sascha@434:         double [] depths = new double[width];
sascha@434:         Arrays.fill(depths, Double.NaN);
sascha@434: 
sascha@434:         double cellWidth = (to - from)/width;
sascha@434: 
sascha@434:         double maxDepth = Double.MAX_VALUE;
sascha@434: 
sascha@434:         int i = 0;
sascha@434:         Coordinate center = new Coordinate();
sascha@434:         for (double p = cellWidth*0.5; i < depths.length; ++i, p += cellWidth) {
sascha@434:             if (linearToMap.locate(p, center)) {
sascha@434:                 double depth = xyDepth.depth(center);
sascha@434:                 depths[i] = depth;
sascha@434:                 if (depth < maxDepth) {
sascha@434:                     maxDepth = depth;
sascha@434:                 }
sascha@434:             }
sascha@434:         }
sascha@434: 
sascha@434:         if (maxDepth == Double.MAX_VALUE) {
sascha@434:             log.warn("no depth found -> no interpolation");
sascha@434:             return false;
sascha@434:         }
sascha@434: 
sascha@434:         double cellHeight = Math.abs(maxDepth)/height;
sascha@434: 
sascha@434:         if (debug) {
sascha@445:             log.debug("max depth found: " + maxDepth);
sascha@434:             log.debug("cell size: " + cellWidth + " x " + cellHeight);
sascha@434:         }
sascha@434: 
sascha@434:         double [] raster = new double[width*height];
sascha@434:         Arrays.fill(raster, Double.NaN);
sascha@434: 
sascha@515:         Envelope            queryBuffer  = new Envelope();
sascha@515:         GridCell.CellFinder finder       = new GridCell.CellFinder();
sascha@434: 
sascha@434:         i = 0;
sascha@434:         for (double p = cellWidth*0.5; i < depths.length; ++i, p += cellWidth) {
sascha@434:             double depth = depths[i];
sascha@521:             if (Double.isNaN(depth) || depth >= 0d) {
sascha@434:                 continue;
sascha@434:             }
sascha@434:             linearToMap.locate(p, center);
sascha@434: 
sascha@434:             queryBuffer.init(
sascha@778:                 center.x - EPS, center.x + EPS,
sascha@515:                 center.y - EPS, center.y + EPS);
sascha@434: 
sascha@515:             finder.prepare(center);
sascha@515:             spatialIndex.query(queryBuffer, finder);
sascha@434: 
sascha@515:             GridCell found = finder.found;
sascha@515: 
sascha@515:             if (found == null) {
sascha@515:                 continue;
sascha@434:             }
sascha@434: 
sascha@515:             XYColumn n0 = (XYColumn)found.p1;
sascha@515:             XYColumn n1 = (XYColumn)found.p2;
sascha@515:             XYColumn n2 = (XYColumn)found.p3;
sascha@515:             XYColumn n3 = (XYColumn)found.p4;
sascha@434: 
sascha@515:             if (n0.prepare(xyDepth)
sascha@515:             &&  n1.prepare(xyDepth)
sascha@515:             &&  n2.prepare(xyDepth)
sascha@515:             &&  n3.prepare(xyDepth)
sascha@434:             ) {
sascha@434:                 double y1 = Interpolation2D.interpolate(
sascha@515:                     n0.x, n0.y,
sascha@515:                     n1.x, n1.y,
sascha@434:                     center.x);
sascha@434:                 double y2 = Interpolation2D.interpolate(
sascha@515:                     n2.x, n2.y,
sascha@515:                     n3.x, n3.y,
sascha@434:                     center.x);
sascha@521:                 double z = -cellHeight*0.5;
sascha@521:                 for (int j = i;
sascha@453:                     j < raster.length && z >= depth;
sascha@453:                     z -= cellHeight, j += width) {
sascha@434: 
sascha@515:                     double v0 = n0.value(z);
sascha@515:                     double v1 = n1.value(z);
sascha@515:                     double v2 = n2.value(z);
sascha@515:                     double v3 = n3.value(z);
sascha@434: 
sascha@434:                     double z1 = Interpolation2D.interpolate(
sascha@515:                         n0.x, v0,
sascha@515:                         n1.x, v1,
sascha@434:                         center.x);
sascha@434:                     double z2 = Interpolation2D.interpolate(
sascha@515:                         n2.x, v2,
sascha@515:                         n3.x, v3,
sascha@434:                         center.x);
sascha@434:                     double value = Interpolation2D.interpolate(
sascha@434:                         y1, z1,
sascha@434:                         y2, z2,
sascha@434:                         center.y);
sascha@434:                     raster[j] = value;
sascha@434:                 }
sascha@778:                 // XXX: Adjusted depth to create no gap
sascha@521:                 // between last value and ground.
sascha@778:                 depths[i] = z+0.5d*cellHeight;
sascha@434:             } // down the x/y column
sascha@434:         } // all along the track
sascha@434: 
sascha@521:         this.depths     = depths;
sascha@521:         this.raster     = raster;
sascha@521:         this.cellWidth  = cellWidth;
sascha@521:         this.cellHeight = cellHeight;
sascha@434: 
sascha@434:         return true;
sascha@434:     }
sascha@434: }
sascha@798: // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :