/** * This file is part of miniCDx benchmark of oSCJ. * * miniCDx is free software: you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * miniCDx is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public License * along with miniCDx. If not, see <http://www.gnu.org/licenses/>. * * * Copyright 2009, 2010 * @authors Daniel Tang, Ales Plsek * * * See: http://sss.cs.purdue.edu/projects/oscj/ */ package hijac.cdx; import hijac.cdx.Constants; import hijac.cdx.Motion; import hijac.cdx.Vector2d; import hijac.cdx.Vector3d; import hijac.cdx.VectorMath; import hijac.cdx.javacp.utils.ArrayList; import hijac.cdx.javacp.utils.HashMap; import hijac.cdx.javacp.utils.Iterator; import hijac.cdx.javacp.utils.LinkedList; /** * Reduces the set of collisions to be tested using a voxel hashing algorithm. * * @author Filip Pizlo, Jeff Hagelberg */ class Reducer { /** * The voxel size. Each voxel is a square, so this is the length of a side. */ public final float voxel_size; /** * The horizontal side of a voxel. */ public final Vector2d horizontal; /** * The vertical side of a voxel. */ public final Vector2d vertical; /** * Initialise the reducer with a voxel size. */ public Reducer(float voxel_size) { this.voxel_size = voxel_size; horizontal = new Vector2d(voxel_size, 0.0f); vertical = new Vector2d(0.0f, voxel_size); } /** * Creates a Vector2d that represents a voxel. */ protected void voxelHash(Vector3d position, Vector2d voxel) { int x_div = (int) (position.x / voxel_size); voxel.x = voxel_size * (x_div); if (position.x < 0.0f) { voxel.x -= voxel_size; } int y_div = (int) (position.y / voxel_size); voxel.y = voxel_size * (y_div); if (position.y < 0.0f) { voxel.y -= voxel_size; } } /** * Puts a Motion object into the voxel map at a voxel. */ protected void putIntoMap( HashMap voxel_map, Vector2d voxel, Motion motion) { if (!voxel_map.containsKey(voxel)) { voxel_map.put(new Vector2d(voxel), new ArrayList()); } ((ArrayList) voxel_map.get(voxel)).add(motion); } /** * Given a voxel and a Motion, determines if they overlap. */ protected boolean isInVoxel(Vector2d voxel, Motion motion) { if (voxel.x > Constants.MAX_X || voxel.x + voxel_size < Constants.MIN_X || voxel.y > Constants.MAX_Y || voxel.y + voxel_size < Constants.MIN_Y) { return false; } /* This code detects intersection between a line segment and a square * (geometric intersection, it ignores the time and speeds of aircraft). * * The intuition is that we transform the coordinates such that the * line segment ends up being a line from (0,0) to (1,1); in this * transformed system, the coordinates of the square (becomes rectangle) * are (low_x, low_y, high_x, high_y); in this transformed system, it is * possible to detect the intersection without further arithmetics * (just need comparisons). * * This algorithm is probably of general use; I have seen too many online * posts advising more complex solution to the problem that involved * calculating intersections between rectangle sides and line segment. */ Vector3d init = motion.getFirstPosition(); Vector3d fin = motion.getSecondPosition(); float v_s = voxel_size; float r = Constants.PROXIMITY_RADIUS / 2.0f; float v_x = voxel.x; float x0 = init.x; float xv = fin.x - init.x; float v_y = voxel.y; float y0 = init.y; float yv = fin.y - init.y; float low_x = (v_x - r - x0) / xv; float high_x = (v_x + v_s + r - x0) / xv; if (xv < 0.0f) { float tmp = low_x; low_x = high_x; high_x = tmp; } float low_y = (v_y - r - y0) / yv; float high_y = (v_y + v_s + r - y0) / yv; if (yv < 0.0f) { float tmp = low_y; low_y = high_y; high_y = tmp; } boolean result = ( /* no motion in x */ ((xv == 0.0 && v_x <= x0 + r && x0 - r <= v_x + v_s) || ((low_x <= 1.0f && 1.0f <= high_x) || (low_x <= 0.0f && 0.0f <= high_x) || (0.0f <= low_x && high_x <= 1.0f))) && /* no motion in y */ ((yv == 0.0 && v_y <= y0 + r && y0 - r <= v_y + v_s) || ((low_y <= 1.0f && 1.0f <= high_y) || (low_y <= 0.0f && 0.0f <= high_y) || (0.0f <= low_y && high_y <= 1.0f))) && /* no motion in x or y or both */ (xv == 0.0f || yv == 0.0f || (low_y <= high_x && high_x <= high_y) || (low_y <= low_x && low_x <= high_y) || (low_x <= low_y && high_y <= high_x))); return result; } protected void dfsVoxelHashRecurse(Motion motion, Vector2d next_voxel, HashMap voxel_map, HashMap graph_colors) { Vector2d tmp = new Vector2d(); if (!graph_colors.containsKey(next_voxel) && isInVoxel(next_voxel, motion)) { graph_colors.put(new Vector2d(next_voxel), ""); putIntoMap(voxel_map, next_voxel, motion); /* Left Boundary */ VectorMath.subtract(next_voxel, horizontal, tmp); dfsVoxelHashRecurse(motion, tmp, voxel_map, graph_colors); /* Right Boundary */ VectorMath.add(next_voxel, horizontal, tmp); dfsVoxelHashRecurse(motion, tmp, voxel_map, graph_colors); /* Upper Boundary */ VectorMath.add(next_voxel, vertical, tmp); dfsVoxelHashRecurse(motion, tmp, voxel_map, graph_colors); /* Lower Boundary */ VectorMath.subtract(next_voxel, vertical, tmp); dfsVoxelHashRecurse(motion, tmp, voxel_map, graph_colors); /* Upper-left Boundary */ VectorMath.subtract(next_voxel, horizontal, tmp); VectorMath.add(tmp, vertical, tmp); dfsVoxelHashRecurse(motion, tmp, voxel_map, graph_colors); /* Upper-right Boundary */ VectorMath.add(next_voxel, horizontal, tmp); VectorMath.add(tmp, vertical, tmp); dfsVoxelHashRecurse(motion, tmp, voxel_map, graph_colors); /* Lower-left Boundary */ VectorMath.subtract(next_voxel, horizontal, tmp); VectorMath.subtract(tmp, vertical, tmp); dfsVoxelHashRecurse(motion, tmp, voxel_map, graph_colors); /* Lower-right Boundary */ VectorMath.add(next_voxel, horizontal, tmp); VectorMath.subtract(tmp, vertical, tmp); dfsVoxelHashRecurse(motion, tmp, voxel_map, graph_colors); } } /** * Colours all of the voxels that overlap with the Motion. */ protected void performVoxelHashing( Motion motion, HashMap voxel_map, HashMap graph_colors) { graph_colors.clear(); Vector2d voxel = new Vector2d(); voxelHash(motion.getFirstPosition(), voxel); dfsVoxelHashRecurse(motion, voxel, voxel_map, graph_colors); } /** * Takes a List of Motions and returns an List of Lists of Motions, where * the inner lists implement RandomAccess. * Each Vector of Motions that is returned represents a set of Motions that * might have collisions. */ public LinkedList reduceCollisionSet(LinkedList motions) { HashMap voxel_map = new HashMap(); HashMap graph_colors = new HashMap(); for (Iterator iter = motions.iterator(); iter.hasNext(); ) { performVoxelHashing((Motion) iter.next(), voxel_map, graph_colors); } LinkedList ret = new LinkedList(); for (Iterator iter = voxel_map.values().iterator(); iter.hasNext();) { LinkedList cur_set = (LinkedList) iter.next(); if (cur_set.size() > 1) { ret.add(cur_set); } } return ret; } }