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<div class="subTitle">com.badlogic.gdx.math</div>
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<h2 title="Class GeometryUtils" class="title">Class GeometryUtils</h2>
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<li>java.lang.Object</li>
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<li>com.badlogic.gdx.math.GeometryUtils</li>
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<pre>public final class <span class="typeNameLabel">GeometryUtils</span>
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extends java.lang.Object</pre>
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<dl>
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<dt><span class="simpleTagLabel">Author:</span></dt>
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<dd>Nathan Sweet</dd>
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<td class="colOne"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#GeometryUtils--">GeometryUtils</a></span>()</code> </td>
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<caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd"> </span></span><span id="t1" class="tableTab"><span><a href="javascript:show(1);">Static Methods</a></span><span class="tabEnd"> </span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd"> </span></span></caption>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<th class="colLast" scope="col">Method and Description</th>
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<tr id="i0" class="altColor">
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<td class="colFirst"><code>static boolean</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#barycoordInsideTriangle-com.badlogic.gdx.math.Vector2-">barycoordInsideTriangle</a></span>(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> barycentric)</code>
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<div class="block">Returns true if the barycentric coordinates are inside the triangle.</div>
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</td>
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</tr>
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<tr id="i1" class="rowColor">
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<td class="colFirst"><code>static boolean</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#colinear-float-float-float-float-float-float-">colinear</a></span>(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3)</code> </td>
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</tr>
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<tr id="i2" class="altColor">
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<td class="colFirst"><code>static void</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#ensureCCW-float:A-">ensureCCW</a></span>(float[] polygon)</code> </td>
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</tr>
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<tr id="i3" class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#fromBarycoord-com.badlogic.gdx.math.Vector2-float-float-float-">fromBarycoord</a></span>(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> barycentric,
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float a,
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float b,
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float c)</code>
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<div class="block">Returns an interpolated value given the barycentric coordinates of a point in a triangle and the values at each vertex.</div>
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</td>
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</tr>
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<tr id="i4" class="altColor">
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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>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#fromBarycoord-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-">fromBarycoord</a></span>(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> barycentric,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> a,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> b,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> c,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> interpolatedOut)</code>
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<div class="block">Returns interpolated values given the barycentric coordinates of a point in a triangle and the values at each vertex.</div>
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</td>
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</tr>
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<tr id="i5" class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#lowestPositiveRoot-float-float-float-">lowestPositiveRoot</a></span>(float a,
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float b,
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float c)</code>
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<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>
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<tr id="i6" class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#polygonArea-float:A-int-int-">polygonArea</a></span>(float[] polygon,
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int offset,
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int count)</code>
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<div class="block">Computes the area for a convex polygon.</div>
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</td>
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</tr>
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<tr id="i7" class="rowColor">
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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>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#polygonCentroid-float:A-int-int-com.badlogic.gdx.math.Vector2-">polygonCentroid</a></span>(float[] polygon,
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int offset,
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int count,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> centroid)</code>
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<div class="block">Returns the centroid for the specified non-self-intersecting polygon.</div>
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</td>
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</tr>
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<tr id="i8" class="altColor">
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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>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#quadrilateralCentroid-float-float-float-float-float-float-float-float-com.badlogic.gdx.math.Vector2-">quadrilateralCentroid</a></span>(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3,
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float x4,
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float y4,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> centroid)</code> </td>
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</tr>
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<tr id="i9" class="rowColor">
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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>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#toBarycoord-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-">toBarycoord</a></span>(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> p,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> a,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> b,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> c,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> barycentricOut)</code>
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<div class="block">Computes the barycentric coordinates v,w for the specified point in the triangle.</div>
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</td>
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</tr>
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<tr id="i10" class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#triangleArea-float-float-float-float-float-float-">triangleArea</a></span>(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3)</code> </td>
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</tr>
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<tr id="i11" class="rowColor">
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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>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#triangleCentroid-float-float-float-float-float-float-com.badlogic.gdx.math.Vector2-">triangleCentroid</a></span>(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> centroid)</code> </td>
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</tr>
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<tr id="i12" class="altColor">
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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>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#triangleCircumcenter-float-float-float-float-float-float-com.badlogic.gdx.math.Vector2-">triangleCircumcenter</a></span>(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> circumcenter)</code>
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<div class="block">Returns the circumcenter of the triangle.</div>
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</td>
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</tr>
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<tr id="i13" class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#triangleCircumradius-float-float-float-float-float-float-">triangleCircumradius</a></span>(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3)</code> </td>
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</tr>
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<tr id="i14" class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/badlogic/gdx/math/GeometryUtils.html#triangleQuality-float-float-float-float-float-float-">triangleQuality</a></span>(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3)</code>
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<div class="block">Ratio of circumradius to shortest edge as a measure of triangle quality.</div>
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<h3>Methods inherited from class java.lang.Object</h3>
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<code>clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</code></li>
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<h3>Constructor Detail</h3>
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<h4>GeometryUtils</h4>
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<pre>public GeometryUtils()</pre>
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<a name="toBarycoord-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-">
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<h4>toBarycoord</h4>
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<pre>public static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> toBarycoord(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> p,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> a,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> b,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> c,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> barycentricOut)</pre>
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<div class="block">Computes the barycentric coordinates v,w for the specified point in the triangle.
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<p>
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If barycentric.x >= 0 && barycentric.y >= 0 && barycentric.x + barycentric.y <= 1 then the point is inside the triangle.
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<p>
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If vertices a,b,c have values aa,bb,cc then to get an interpolated value at point p:
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<pre>
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GeometryUtils.barycentric(p, a, b, c, barycentric);
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float u = 1.f - barycentric.x - barycentric.y;
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float x = u * aa.x + barycentric.x * bb.x + barycentric.y * cc.x;
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float y = u * aa.y + barycentric.x * bb.y + barycentric.y * cc.y;
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</pre></div>
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<dl>
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<dt><span class="returnLabel">Returns:</span></dt>
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<dd>barycentricOut</dd>
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</dl>
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</ul>
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<pre>public static boolean barycoordInsideTriangle(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> barycentric)</pre>
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<div class="block">Returns true if the barycentric coordinates are inside the triangle.</div>
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</li>
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</ul>
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<a name="fromBarycoord-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-">
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<h4>fromBarycoord</h4>
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<pre>public static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> fromBarycoord(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> barycentric,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> a,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> b,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> c,
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> interpolatedOut)</pre>
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<div class="block">Returns interpolated values given the barycentric coordinates of a point in a triangle and the values at each vertex.</div>
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<dl>
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<dt><span class="returnLabel">Returns:</span></dt>
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<dd>interpolatedOut</dd>
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</dl>
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</li>
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</ul>
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<h4>fromBarycoord</h4>
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<pre>public static float fromBarycoord(<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> barycentric,
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float a,
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float b,
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float c)</pre>
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<div class="block">Returns an interpolated value given the barycentric coordinates of a point in a triangle and the values at each vertex.</div>
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<dl>
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<dt><span class="returnLabel">Returns:</span></dt>
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<dd>interpolatedOut</dd>
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</dl>
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<h4>lowestPositiveRoot</h4>
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<pre>public static float lowestPositiveRoot(float a,
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float b,
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float c)</pre>
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<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
|
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Float.Nan is returned.</div>
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<dl>
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<dt><span class="paramLabel">Parameters:</span></dt>
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<dd><code>a</code> - the first coefficient of the quadric equation</dd>
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<dd><code>b</code> - the second coefficient of the quadric equation</dd>
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<dd><code>c</code> - the third coefficient of the quadric equation</dd>
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<dt><span class="returnLabel">Returns:</span></dt>
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<dd>the lowest positive root or Float.Nan</dd>
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</dl>
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</ul>
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<h4>colinear</h4>
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<pre>public static boolean colinear(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3)</pre>
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</li>
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</ul>
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<a name="triangleCentroid-float-float-float-float-float-float-com.badlogic.gdx.math.Vector2-">
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<h4>triangleCentroid</h4>
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<pre>public static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> triangleCentroid(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
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float y3,
|
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> centroid)</pre>
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</li>
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</ul>
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<pre>public static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> triangleCircumcenter(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
|
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float y3,
|
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> circumcenter)</pre>
|
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<div class="block">Returns the circumcenter of the triangle. The input points must not be colinear.</div>
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</li>
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</ul>
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<a name="triangleCircumradius-float-float-float-float-float-float-">
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<h4>triangleCircumradius</h4>
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<pre>public static float triangleCircumradius(float x1,
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float y1,
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float x2,
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float y2,
|
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float x3,
|
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float y3)</pre>
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</li>
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</ul>
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<a name="triangleQuality-float-float-float-float-float-float-">
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<h4>triangleQuality</h4>
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<pre>public static float triangleQuality(float x1,
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float y1,
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float x2,
|
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float y2,
|
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float x3,
|
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float y3)</pre>
|
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<div class="block">Ratio of circumradius to shortest edge as a measure of triangle quality.
|
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<p>
|
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Gary L. Miller, Dafna Talmor, Shang-Hua Teng, and Noel Walkington. A Delaunay Based Numerical Method for Three Dimensions:
|
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Generation, Formulation, and Partition.</div>
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</li>
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</ul>
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<pre>public static float triangleArea(float x1,
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float y1,
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float x2,
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float y2,
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float x3,
|
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float y3)</pre>
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</li>
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</ul>
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<a name="quadrilateralCentroid-float-float-float-float-float-float-float-float-com.badlogic.gdx.math.Vector2-">
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<h4>quadrilateralCentroid</h4>
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<pre>public static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> quadrilateralCentroid(float x1,
|
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float y1,
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float x2,
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float y2,
|
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float x3,
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float y3,
|
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float x4,
|
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float y4,
|
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> centroid)</pre>
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</li>
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</ul>
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<a name="polygonCentroid-float:A-int-int-com.badlogic.gdx.math.Vector2-">
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<h4>polygonCentroid</h4>
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<pre>public static <a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> polygonCentroid(float[] polygon,
|
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int offset,
|
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int count,
|
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<a href="../../../../com/badlogic/gdx/math/Vector2.html" title="class in com.badlogic.gdx.math">Vector2</a> centroid)</pre>
|
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<div class="block">Returns the centroid for the specified non-self-intersecting polygon.</div>
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</li>
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</ul>
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<a name="polygonArea-float:A-int-int-">
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<h4>polygonArea</h4>
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<pre>public static float polygonArea(float[] polygon,
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int offset,
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int count)</pre>
|
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<div class="block">Computes the area for a convex polygon.</div>
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</li>
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</ul>
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</a>
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<h4>ensureCCW</h4>
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<pre>public static void ensureCCW(float[] polygon)</pre>
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</ul>
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</li>
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