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<div class="subTitle">com.badlogic.gdx.math</div>
<h2 title="Class GeometryUtils" class="title">Class GeometryUtils</h2>
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<pre>public class <span class="strong">GeometryUtils</span>
extends java.lang.Object</pre>
<dl><dt><span class="strong">Author:</span></dt>
  <dd>Nathan Sweet</dd></dl>
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<td class="colOne"><code><strong><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#GeometryUtils()">GeometryUtils</a></strong>()</code>&nbsp;</td>
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<td class="colFirst"><code>static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a></code></td>
<td class="colLast"><code><strong><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#barycentric(com.badlogic.gdx.math.Vector2, com.badlogic.gdx.math.Vector2, com.badlogic.gdx.math.Vector2, com.badlogic.gdx.math.Vector2, com.badlogic.gdx.math.Vector2)">barycentric</a></strong>(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;p,
           <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;a,
           <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;b,
           <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;c,
           <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;barycentricOut)</code>
<div class="block">Computes the barycentric coordinates v,w for the specified point in the triangle.</div>
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<td class="colFirst"><code>static float</code></td>
<td class="colLast"><code><strong><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#lowestPositiveRoot(float, float, float)">lowestPositiveRoot</a></strong>(float&nbsp;a,
                  float&nbsp;b,
                  float&nbsp;c)</code>
<div class="block">Returns the lowest positive root of the quadric equation given by a* x * x + b * x + c = 0.</div>
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<td class="colFirst"><code>static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a></code></td>
<td class="colLast"><code><strong><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#polygonCentroid(float[], int, int, com.badlogic.gdx.math.Vector2)">polygonCentroid</a></strong>(float[]&nbsp;polygon,
               int&nbsp;offset,
               int&nbsp;count,
               <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;centroid)</code>
<div class="block">Returns the centroid for the specified non-self-intersecting polygon.</div>
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<td class="colFirst"><code>static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a></code></td>
<td class="colLast"><code><strong><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#quadrilateralCentroid(float, float, float, float, float, float, float, float, com.badlogic.gdx.math.Vector2)">quadrilateralCentroid</a></strong>(float&nbsp;x1,
                     float&nbsp;y1,
                     float&nbsp;x2,
                     float&nbsp;y2,
                     float&nbsp;x3,
                     float&nbsp;y3,
                     float&nbsp;x4,
                     float&nbsp;y4,
                     <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;centroid)</code>&nbsp;</td>
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<td class="colFirst"><code>static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a></code></td>
<td class="colLast"><code><strong><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#triangleCentroid(float, float, float, float, float, float, com.badlogic.gdx.math.Vector2)">triangleCentroid</a></strong>(float&nbsp;x1,
                float&nbsp;y1,
                float&nbsp;x2,
                float&nbsp;y2,
                float&nbsp;x3,
                float&nbsp;y3,
                <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;centroid)</code>&nbsp;</td>
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<h3>Methods inherited from class&nbsp;java.lang.Object</h3>
<code>clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</code></li>
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<pre>public&nbsp;GeometryUtils()</pre>
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<h4>barycentric</h4>
<pre>public static&nbsp;<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;barycentric(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;p,
                  <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;a,
                  <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;b,
                  <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;c,
                  <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;barycentricOut)</pre>
<div class="block">Computes the barycentric coordinates v,w for the specified point in the triangle.
 <p>
 If barycentric.x >= 0 && barycentric.y >= 0 && barycentric.x + barycentric.y <= 1 then the point is inside the triangle.
<p>
If vertices a,b,c have values aa,bb,cc then to get an interpolated value at point p:

<pre>
GeometryUtils.barycentric(p, a, b, c, barycentric);
 float u = 1.f - barycentric.x - barycentric.y;
 float x = u * aa.x + barycentric.x * bb.x + barycentric.y * cc.x;
 float y = u * aa.y + barycentric.x * bb.y + barycentric.y * cc.y;
 </pre></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>barycentricOut</dd></dl>
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<h4>lowestPositiveRoot</h4>
<pre>public static&nbsp;float&nbsp;lowestPositiveRoot(float&nbsp;a,
                       float&nbsp;b,
                       float&nbsp;c)</pre>
<div class="block">Returns the lowest positive root of the quadric equation given by a* x * x + b * x + c = 0. If no solution is given
 Float.Nan is returned.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - the first coefficient of the quadric equation</dd><dd><code>b</code> - the second coefficient of the quadric equation</dd><dd><code>c</code> - the third coefficient of the quadric equation</dd>
<dt><span class="strong">Returns:</span></dt><dd>the lowest positive root or Float.Nan</dd></dl>
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<h4>triangleCentroid</h4>
<pre>public static&nbsp;<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;triangleCentroid(float&nbsp;x1,
                       float&nbsp;y1,
                       float&nbsp;x2,
                       float&nbsp;y2,
                       float&nbsp;x3,
                       float&nbsp;y3,
                       <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;centroid)</pre>
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<h4>quadrilateralCentroid</h4>
<pre>public static&nbsp;<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;quadrilateralCentroid(float&nbsp;x1,
                            float&nbsp;y1,
                            float&nbsp;x2,
                            float&nbsp;y2,
                            float&nbsp;x3,
                            float&nbsp;y3,
                            float&nbsp;x4,
                            float&nbsp;y4,
                            <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;centroid)</pre>
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<h4>polygonCentroid</h4>
<pre>public static&nbsp;<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;polygonCentroid(float[]&nbsp;polygon,
                      int&nbsp;offset,
                      int&nbsp;count,
                      <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a>&nbsp;centroid)</pre>
<div class="block">Returns the centroid for the specified non-self-intersecting polygon.</div>
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