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A 2D java physics engine, a port of the C++ Box2d engine. This is the core physics engine.

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/*******************************************************************************
 * Copyright (c) 2011, Daniel Murphy
 * 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  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 DANIEL MURPHY 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.
 ******************************************************************************/
package org.jbox2d.collision;

import org.jbox2d.common.MathUtils;
import org.jbox2d.common.Settings;
import org.jbox2d.common.Vec2;
import org.jbox2d.pooling.IWorldPool;
import org.jbox2d.pooling.WorldPool;

// updated to rev 100
/** An axis-aligned bounding box. */
public class AABB {
	/** Bottom left vertex of bounding box. */
	public final Vec2 lowerBound;
	/** Top right vertex of bounding box. */
	public final Vec2 upperBound;
	
	/**
	 * Creates the default object, with vertices at 0,0 and 0,0.
	 */
	public AABB() {
		lowerBound = new Vec2();
		upperBound = new Vec2();
	}
	
	/**
	 * Copies from the given object
	 * 
	 * @param copy
	 *            the object to copy from
	 */
	public AABB(final AABB copy) {
		this(copy.lowerBound, copy.upperBound);
	}
	
	/**
	 * Creates an AABB object using the given bounding
	 * vertices.
	 * 
	 * @param lowerVertex
	 *            the bottom left vertex of the bounding box
	 * @param maxVertex
	 *            the top right vertex of the bounding box
	 */
	public AABB(final Vec2 lowerVertex, final Vec2 upperVertex) {
		this.lowerBound = lowerVertex.clone(); // clone to be safe
		this.upperBound = upperVertex.clone();
	}
	
	/**
	 * Sets this object from the given object
	 * 
	 * @param aabb
	 *            the object to copy from
	 */
	public final void set(final AABB aabb) {
		lowerBound.set(aabb.lowerBound);
		upperBound.set(aabb.upperBound);
	}
	
	/** Verify that the bounds are sorted */
	public final boolean isValid() {
		final float dx = upperBound.x - lowerBound.x;
		if (dx < 0f) {
			return false;
		}
		final float dy = upperBound.y - lowerBound.y;
		if (dy < 0) {
			return false;
		}
		return lowerBound.isValid() && upperBound.isValid();
	}
	
	/**
	 * Get the center of the AABB
	 * 
	 * @return
	 */
	public final Vec2 getCenter() {
		final Vec2 center = new Vec2(lowerBound);
		center.addLocal(upperBound);
		center.mulLocal(.5f);
		return center;
	}
	
	public final void getCenterToOut(final Vec2 out) {
		out.x = (lowerBound.x + upperBound.x) * .5f;
		out.y = (lowerBound.y + upperBound.y) * .5f;
	}
	
	/**
	 * Get the extents of the AABB (half-widths).
	 * 
	 * @return
	 */
	public final Vec2 getExtents() {
		final Vec2 center = new Vec2(upperBound);
		center.subLocal(lowerBound);
		center.mulLocal(.5f);
		return center;
	}
	
	public final void getExtentsToOut(final Vec2 out) {
		out.x = (upperBound.x - lowerBound.x) * .5f;
		out.y = (upperBound.y - lowerBound.y) * .5f; // thanks FDN1
	}
	
	public final void getVertices(Vec2[] argRay) {
		argRay[0].set(lowerBound);
		argRay[1].set(lowerBound);
		argRay[1].x += upperBound.x - lowerBound.x;
		argRay[2].set(upperBound);
		argRay[3].set(upperBound);
		argRay[3].x -= upperBound.x - lowerBound.x;
	}
	
	/**
	 * Combine two AABBs into this one.
	 * 
	 * @param aabb1
	 * @param aab
	 */
	public final void combine(final AABB aabb1, final AABB aab) {
		lowerBound.x = aabb1.lowerBound.x < aab.lowerBound.x ? aabb1.lowerBound.x : aab.lowerBound.x;
		lowerBound.y = aabb1.lowerBound.y < aab.lowerBound.y ? aabb1.lowerBound.y : aab.lowerBound.y;
		upperBound.x = aabb1.upperBound.x > aab.upperBound.x ? aabb1.upperBound.x : aab.upperBound.x;
		upperBound.y = aabb1.upperBound.y > aab.upperBound.y ? aabb1.upperBound.y : aab.upperBound.y;
	}
	
	/**
	 * Does this aabb contain the provided AABB.
	 * 
	 * @return
	 */
	public final boolean contains(final AABB aabb) {
		/*
		 * boolean result = true;
		 * result = result && lowerBound.x <= aabb.lowerBound.x;
		 * result = result && lowerBound.y <= aabb.lowerBound.y;
		 * result = result && aabb.upperBound.x <= upperBound.x;
		 * result = result && aabb.upperBound.y <= upperBound.y;
		 * return result;
		 */
		// djm: faster putting all of them together, as if one is false we leave the logic
		// early
		return lowerBound.x > aabb.lowerBound.x && lowerBound.y > aabb.lowerBound.y && aabb.upperBound.x > upperBound.x
				&& aabb.upperBound.y > upperBound.y;
	}
	
	/**
	 * @deprecated please use {@link #raycast(RayCastOutput, RayCastInput, IWorldPool)} for
	 * better performance
	 * @param output
	 * @param input
	 * @return
	 */
	public final boolean raycast(final RayCastOutput output, final RayCastInput input) {
		return raycast(output, input, new WorldPool(4, 4));
	}
	
	/**
	 * From Real-time Collision Detection, p179.
	 * 
	 * @param output
	 * @param input
	 */
	public final boolean raycast(final RayCastOutput output, final RayCastInput input, IWorldPool argPool) {
		float tmin = Float.MIN_VALUE;
		float tmax = Float.MAX_VALUE;
		
		final Vec2 p = argPool.popVec2();
		final Vec2 d = argPool.popVec2();
		final Vec2 absD = argPool.popVec2();
		final Vec2 normal = argPool.popVec2();
		
		p.set(input.p1);
		d.set(input.p2).subLocal(input.p1);
		Vec2.absToOut(d, absD);
		
		// x then y
		if (absD.x < Settings.EPSILON) {
			// Parallel.
			if (p.x < lowerBound.x || upperBound.x < p.x) {
				argPool.pushVec2(4);
				return false;
			}
		}
		else {
			final float inv_d = 1.0f / d.x;
			float t1 = (lowerBound.x - p.x) * inv_d;
			float t2 = (upperBound.x - p.x) * inv_d;
			
			// Sign of the normal vector.
			float s = -1.0f;
			
			if (t1 > t2) {
				final float temp = t1;
				t1 = t2;
				t2 = temp;
				s = 1.0f;
			}
			
			// Push the min up
			if (t1 > tmin) {
				normal.setZero();
				normal.x = s;
				tmin = t1;
			}
			
			// Pull the max down
			tmax = MathUtils.min(tmax, t2);
			
			if (tmin > tmax) {
				argPool.pushVec2(4);
				return false;
			}
		}
		
		if (absD.y < Settings.EPSILON) {
			// Parallel.
			if (p.y < lowerBound.y || upperBound.y < p.y) {
				argPool.pushVec2(4);
				return false;
			}
		}
		else {
			final float inv_d = 1.0f / d.y;
			float t1 = (lowerBound.y - p.y) * inv_d;
			float t2 = (upperBound.y - p.y) * inv_d;
			
			// Sign of the normal vector.
			float s = -1.0f;
			
			if (t1 > t2) {
				final float temp = t1;
				t1 = t2;
				t2 = temp;
				s = 1.0f;
			}
			
			// Push the min up
			if (t1 > tmin) {
				normal.setZero();
				normal.y = s;
				tmin = t1;
			}
			
			// Pull the max down
			tmax = MathUtils.min(tmax, t2);
			
			if (tmin > tmax) {
				argPool.pushVec2(4);
				return false;
			}
		}
		
		// Does the ray start inside the box?
		// Does the ray intersect beyond the max fraction?
		if (tmin < 0.0f || input.maxFraction < tmin) {
			argPool.pushVec2(4);
			return false;
		}
		
		// Intersection.
		output.fraction = tmin;
		output.normal.x = normal.x;
		output.normal.y = normal.y;
		argPool.pushVec2(4);
		return true;
	}
	
	public static final boolean testOverlap(final AABB a, final AABB b) {
		if (b.lowerBound.x - a.upperBound.x > 0.0f || b.lowerBound.y - a.upperBound.y > 0.0f) {
			return false;
		}
		
		if (a.lowerBound.x - b.upperBound.x > 0.0f || a.lowerBound.y - b.upperBound.y > 0.0f) {
			return false;
		}
		
		return true;
	}
	
	@Override
	public final String toString() {
		final String s = "AABB[" + lowerBound + " . " + upperBound + "]";
		return s;
	}
}




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