Package org.jbox2d.collision

Source Code of org.jbox2d.collision.AABB

/*******************************************************************************
* 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:
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*       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
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* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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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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