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          <title>Scaladoc for sims.geometry.ConvexPolygon</title>
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      <p id="owner"><a href="../package.html">sims</a>.<a href="package.html">geometry</a></p>

      <div id="definition">
        <img src="../../lib/trait_big.png" />
        <h1>ConvexPolygon</h1>
      </div>

      <h4 class="signature">
      <span class="kind">trait</span>
      <span class="symbol">
        <span class="name">ConvexPolygon</span><span class="result"> extends AnyRef</span>
      </span>
      </h4>
      <div class="fullcomment" id="comment">
      <div class="comment cmt"><p>Common properties of all convex polygons.</p></div>
      
      
      
      <div class="block">
                known subclasses: <a href="../dynamics/RegularPolygon.html">RegularPolygon</a>, <a href="../dynamics/Rectangle.html">Rectangle</a>
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              <div id="ancestors">
                <h3>Inherits</h3>
                <ol><li class="in" name="scala.AnyRef">AnyRef</li><li class="in" name="scala.Any">Any</li></ol>
              </div>
            </div>
        
        
        
        <div class="members" id="values">
              <h3>Value Members</h3>
              <ol><li name="sims.geometry.ConvexPolygon#AABB">
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol">
        <span class="name">AABB</span><span class="result">: <a href="../collision/AABB.html" class="extype" name="sims.collision.AABB">AABB</a></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Returns this polygon's axis aligned bounding box</p><div class="fullcomment">
      <div class="comment cmt"><p>Returns this polygon's axis aligned bounding box.</p></div>
      
      
      
      
    </div>
    </li><li name="sims.geometry.ConvexPolygon#contains">
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol">
        <span class="name">contains</span><span class="params">(<span name="point">point: <a href="Vector2D.html" class="extype" name="sims.geometry.Vector2D">Vector2D</a></span>)</span><span class="result">: <span class="extype" name="scala.Boolean">Boolean</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Checks if the point <code>point</code> is contained in this polygon</p><div class="fullcomment">
      <div class="comment cmt"><p>Checks if the point <code>point</code> is contained in this polygon.
<p>
A ray is created, originating from the point and following an arbitrary direction (X-Axis was chosen).
The number of intersections between the ray and this polygon's sides (including vertices) is counted.
The amount of intersections with vertices is substracted form the previuos number.
If the latter number is odd, the point is contained in the polygon.</p></div>
      
      
      
      
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    </li><li name="scala.AnyRef#equals">
      <h4 class="signature">
      <span class="kind">def</span>
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        <span class="name">equals</span><span class="params">(<span name="arg0">arg0: <span class="extype" name="scala.Any">Any</span></span>)</span><span class="result">: <span class="extype" name="scala.Boolean">Boolean</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">This method is used to compare the receiver object (<code>this</code>)
with the argument object (<code>arg0</code>) for equivalence</p><div class="fullcomment">
      <div class="comment cmt"><p>This method is used to compare the receiver object (<code>this</code>)
with the argument object (<code>arg0</code>) for equivalence.</p><p><p>
The default implementations of this method is an <a
href="http://en.wikipedia.org/wiki/Equivalence_relation">equivalence
relation</a>:
  <ul>
 <li>It is reflexive: for any instance <code>x</code> of type <code>Any</code>,
 <code>x.equals(x)</code> should return <code>true</code>.</li>
 <li>It is symmetric: for any instances <code>x</code> and <code>y</code> of type
 <code>Any</code>, <code>x.equals(y)</code> should return <code>true</code> if and only
 if <code>y.equals(x)</code> returns <code>true</code>.</li>
 <li>It is transitive: for any instances
 <code>x</code>, <code>y</code>, and <code>z</code> of type <code>AnyRef</code>
 if <code>x.equals(y)</code> returns <code>true</code> and
 <code>y.equals(z)</code> returns
 <code>true</code>, then <code>x.equals(z)</code> should return <code>true</code>.</li>
</ul>
</p></p><p><p>
If you override this method, you should verify that
your implementation remains an equivalence relation.
Additionally, when overriding this method it is often necessary to
override <code>hashCode</code> to ensure that objects that are
"equal" (<code>o1.equals(o2)</code> returns <code>true</code>)
hash to the same <a href="Int.html"><code>Int</code></a>
(<code>o1.hashCode.equals(o2.hashCode)</code>).
</p></div>
      <dl class="paramcmts block"><dt class="param">arg0</dt><dd class="cmt"><p>the object to compare against this object for equality.</p></dd><dt>returns</dt><dd class="cmt"><p><code>true</code> if the receiver object is equivalent to the argument; <code>false</code> otherwise.
</p></p></dd></dl>
      
      <div class="block">
            definition classes: AnyRef ⇐ Any
          </div>
      
    </div>
    </li><li name="scala.AnyRef#hashCode">
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol">
        <span class="name">hashCode</span><span class="params">()</span><span class="result">: <span class="extype" name="scala.Int">Int</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Returns a hash code value for the object</p><div class="fullcomment">
      <div class="comment cmt"><p>Returns a hash code value for the object.</p><p><p>
The default hashing algorithm is platform dependent.</p><p>Note that it is allowed for two objects to have identical hash
codes (<code>o1.hashCode.equals(o2.hashCode)</code>) yet not be
equal (<code>o1.equals(o2)</code> returns <code>false</code>).  A
degenerate implementation could always return <code>0</code>.
However, it is required that if two objects are equal
(<code>o1.equals(o2)</code> returns <code>true</code>) that they
have identical hash codes
(<code>o1.hashCode.equals(o2.hashCode)</code>).  Therefore, when
overriding this method, be sure to verify that the behavior is
consistent with the <code>equals</code> method.
</p></p><p><p></p></div>
      
      
      <div class="block">
            definition classes: AnyRef ⇐ Any
          </div>
      
    </div>
    </li><li name="sims.geometry.ConvexPolygon#project">
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol">
        <span class="name">project</span><span class="params">(<span name="axis">axis: <a href="Vector2D.html" class="extype" name="sims.geometry.Vector2D">Vector2D</a></span>)</span><span class="result">: <a href="Projection.html" class="extype" name="sims.geometry.Projection">Projection</a></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Returns the projection of this polygon onto the line given by the directional vector <code>axis</code></p><div class="fullcomment">
      <div class="comment cmt"><p>Returns the projection of this polygon onto the line given by the directional vector <code>axis</code>.</p></div>
      <dl class="paramcmts block"><dt class="param">axis</dt><dd class="cmt"><p>directional vector of the line</p></dd><dt>returns</dt><dd class="cmt"><p>projection of this polygon</p></dd></dl>
      
      
      
    </div>
    </li><li name="sims.geometry.ConvexPolygon#sides">
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol">
        <span class="name">sides</span><span class="result">: <span class="extype" name="scala.Array">Array</span>[<a href="Segment.html" class="extype" name="sims.geometry.Segment">Segment</a>]</span>
      </span>
      </h4>
      <p class="shortcomment cmt">Returns all sides of this polygon</p><div class="fullcomment">
      <div class="comment cmt"><p>Returns all sides of this polygon. The sides are ordered counter-clockwise, the first vertex of the side
giving the side index.</p></div>
      
      
      
      
    </div>
    </li><li name="scala.AnyRef#toString">
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol">
        <span class="name">toString</span><span class="params">()</span><span class="result">: <span class="extype" name="java.lang.String">String</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Returns a string representation of the object</p><div class="fullcomment">
      <div class="comment cmt"><p>Returns a string representation of the object.
<p>
The default representation is platform dependent.
</p></div>
      
      
      <div class="block">
            definition classes: AnyRef ⇐ Any
          </div>
      
    </div>
    </li><li name="sims.geometry.ConvexPolygon#vertices">
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol">
        <span class="name">vertices</span><span class="result">: <span class="extype" name="scala.collection.Seq">Seq</span>[<a href="Vector2D.html" class="extype" name="sims.geometry.Vector2D">Vector2D</a>]</span>
      </span>
      </h4>
      <p class="shortcomment cmt">Returns positions of all vertices of this Polygon</p><div class="fullcomment">
      <div class="comment cmt"><p>Returns positions of all vertices of this Polygon. Vertices are ordered counter-clockwise.</p></div>
      
      <div class="block">
            attributes: abstract 
          </div>
      
      
    </div>
    </li></ol>
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