package org.gcube.dataanalysis.ecoengine.utils; import java.awt.Point; import java.util.Vector; /** * A class that calculates the nearest neighbor according to a set of points in the space having integer coordinates */ class Nearest { // Projection axes defines public static final int PROJX = 1; public static final int PROJY = 2; int n; // This is the number of point expected to be tested int projaxe; // Current projection axe int compare; // Number of compare made to find the nearest int maxradius; // Maximum radius of search in the array int ndata; // Number of data in the arrays Point data[]; // Point array Point xindex[]; // Index for coordinates X (x is the index, y is the value) Point yindex[]; // Index for coordinates Y (x is the index, y is the value) boolean flags[]; // Array of flags that indicate the validity of point (true or false) Point cindex[]; // Pointer to current index int cvalue, cind; // Current values for the search Point cp; // Current point being tested // Constructor of NNFinder public Nearest(Vector points) { n = 10; // We expect to test 10 points... (this is arbitrary) // Copy the point vector into an array ndata = points.size(); // We create the arrays data = new Point[ndata]; xindex = new Point[ndata]; yindex = new Point[ndata]; flags = new boolean[ndata]; // We initialise the data for (int i = 0; i < ndata; i++) { data[i] = (Point) points.elementAt(i); // Create a new point which will have // field x : the index of the original point in the array (data) // field y : the value of the projected point on the axe xindex[i] = new Point(i, data[i].x); yindex[i] = new Point(i, data[i].y); flags[i] = true; // The point is valid } // Sort the index for axe X cindex = xindex; BubbleSort(); // Sort the index for axe Y cindex = yindex; BubbleSort(); compare = 0; } // Simple bubble sort. Uses the index // array to determine the values of the // element of the array public void BubbleSort() { Point ptmp; for (int i = ndata - 1; i >= 0; i--) { for (int j = 0; j < i; j++) { if (cindex[j].y > cindex[j + 1].y) { // Swap the points ptmp = cindex[j]; cindex[j] = cindex[j + 1]; cindex[j + 1] = ptmp; } } } } // Returns the number of compare done for // finding the nearest point public int getCompare() { return compare; } // Returns the maximum radius of search // in the arrays of points. public int getMaxRadius() { return maxradius; } // Returns the projection axe used to find // the nearest neighbor. public int getProjectionAxe() { return projaxe; } // Dichotomic search in an ordered array using // index private int DichoSearchIndex(int value) { int inf, sup, centre; inf = 0; sup = ndata - 1; // Check for obious case if (value <= cindex[inf].y) return inf; else if (value >= cindex[sup].y) return sup; // Search until we have at least two elements while (sup > inf) { centre = (inf + sup) / 2; if (cindex[centre].y == value) return centre; else if (cindex[centre].y < value) inf = centre + 1; else sup = centre - 1; } return inf; } // This function will reset the all the flags to true private void ResetFlags() { for (int i = 0; i < ndata; i++) flags[i] = true; } public Point FindFirstNN(Point p) { int index1, index2, i, j; int sparse1, sparse2; int xdim, ydim; float s1, s2; // Compute the dimension of the pointset xdim = xindex[ndata - 1].y - xindex[0].y; ydim = yindex[ndata - 1].y - yindex[0].y; // Remember the point being tested cp = p; // Reset the flags ResetFlags(); // Find the point on the projected axes cindex = xindex; index1 = DichoSearchIndex(p.x); cindex = yindex; index2 = DichoSearchIndex(p.y); // Mesure the sparsity of axe X i = index1 - n / 2; if (i < 0) i = 0; j = index1 + n / 2; if (j >= ndata) j = ndata - 1; sparse1 = xindex[j].y - xindex[i].y; // Normalize sparsity s1 = (float) sparse1 / (float) xdim; // Mesure the sparsity of axe Y i = index2 - n / 2; if (i < 0) i = 0; j = index2 + n / 2; if (j >= ndata) j = ndata - 1; sparse2 = yindex[j].y - yindex[i].y; // Normalise sparsity s2 = (float) sparse2 / (float) ydim; if (s1 > s2) { // We take the x axe cindex = xindex; cvalue = p.x; cind = index1; projaxe = PROJX; } else { // We take the y axe cindex = yindex; cvalue = p.y; cind = index2; projaxe = PROJY; } // Init the number of compare compare = 0; maxradius = 0; return FindNextNN(); } public Point FindNextNN() { float mindist, dist; int mini; int i, il, ir; // Find the radius of the circle // cind is already at the left of the test point il = cind; // Find the closest next valid point while (flags[cindex[il].x] == false && il > 0) il--; if (flags[cindex[il].x] == true) { // Compute the distance mindist = ComputeDistance(cp, data[cindex[il].x]); compare++; } else // Put something big no chance of having a distance bigger than that mindist = 500 * 500; // Here, we must verify if it's not the end already if (cind < ndata - 1) { ir = cind + 1; while (flags[cindex[ir].x] == false && ir < ndata - 1) ir++; if (flags[cindex[ir].x] == true) { dist = ComputeDistance(cp, data[cindex[ir].x]); compare++; } else dist = 500 * 500; if (mindist < dist) { maxradius = (int) Math.sqrt((double) mindist); mini = il; } else { mini = ir; maxradius = (int) Math.sqrt((double) dist); mindist = dist; } } else { mini = il; ir = ndata - 1; maxradius = (int) Math.sqrt((double) mindist); } // Search to the left of cind i = il - 1; while (i > 0 && maxradius > Math.abs(cvalue - cindex[i].y)) { if (flags[cindex[i].x] == true) { dist = ComputeDistance(cp, data[cindex[i].x]); compare++; if (dist < mindist) { mindist = dist; mini = i; } } // Go to the left i--; } // Search to the right of cind i = ir + 1; while (i < ndata && maxradius > Math.abs(cindex[i].y - cvalue)) { if (flags[cindex[i].x] == true) { dist = ComputeDistance(cp, data[cindex[i].x]); compare++; if (dist < mindist) { mindist = dist; mini = i; } } i++; // Go to the right } // Set the flag of the point found to false so that // we don't find it again for next search flags[cindex[mini].x] = false; // return the closest point return data[cindex[mini].x]; } // A crude way to find the nearest neighbor public Point FindNearestNeighborCrude(Point p) { float mindist, dist; int mini = 0; // Init compare compare = 0; mindist = ComputeDistance(p, data[mini]); for (int i = 0; i < ndata; i++) { dist = ComputeDistance(p, data[i]); compare++; if (dist < mindist) { mini = i; mindist = dist; } } return data[mini]; } // Compute the SQUARED distance between to points public float ComputeDistance(Point p1, Point p2) { float dx, dy; dx = p2.x - p1.x; dy = p2.y - p1.y; return (dx * dx + dy * dy); } }