599 lines
23 KiB
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599 lines
23 KiB
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<div class="header">
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<div class="subTitle">Microsoft.Xna.Framework</div>
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<h2 title="Class MathHelper" class="title">Class MathHelper</h2>
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<ul class="inheritance">
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<li>java.lang.Object</li>
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<ul class="inheritance">
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<li>Microsoft.Xna.Framework.MathHelper</li>
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<pre>public final class <span class="strong">MathHelper</span>
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extends java.lang.Object</pre>
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<div class="block">Contains commonly used precalculated values.</div>
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<dl><dt><span class="strong">Author:</span></dt>
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<dd>Halofreak1990</dd></dl>
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</li>
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<h3>Field Summary</h3>
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<caption><span>Fields</span><span class="tabEnd"> </span></caption>
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<tr>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<th class="colLast" scope="col">Field and Description</th>
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</tr>
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<tr class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#E">E</a></strong></code>
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<div class="block">Represents the mathematical constant e.</div>
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</td>
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</tr>
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<tr class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Log10E">Log10E</a></strong></code>
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<div class="block">Represents the log base ten of e.</div>
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</td>
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</tr>
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<tr class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Log2E">Log2E</a></strong></code>
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<div class="block">Represents the log base two of e.</div>
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</td>
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</tr>
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<tr class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Pi">Pi</a></strong></code>
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<div class="block">Represents the value of pi.</div>
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</td>
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</tr>
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<tr class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#PiOver2">PiOver2</a></strong></code>
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<div class="block">Represents the value of pi divided by two.</div>
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</td>
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</tr>
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<tr class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#PiOver4">PiOver4</a></strong></code>
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<div class="block">Represents the value of pi divided by four.</div>
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</td>
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</tr>
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<tr class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#TwoPi">TwoPi</a></strong></code>
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<div class="block">Represents the value of pi times two.</div>
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</td>
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</tr>
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</table>
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<caption><span>Methods</span><span class="tabEnd"> </span></caption>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Barycentric(float, float, float, float, float)">Barycentric</a></strong>(float value1,
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float value2,
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float value3,
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float amount1,
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float amount2)</code>
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<div class="block">Returns the Cartesian coordinate for one axis of a point that is defined by a given triangle and two normalized barycentric (areal) coordinates.</div>
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</td>
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</tr>
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<tr class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#CatmullRom(float, float, float, float, float)">CatmullRom</a></strong>(float value1,
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float value2,
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float value3,
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float value4,
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float amount)</code>
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<div class="block">Performs a Catmull-Rom interpolation using the specified positions.</div>
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</td>
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</tr>
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<tr class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Clamp(float, float, float)">Clamp</a></strong>(float value,
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float min,
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float max)</code>
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<div class="block">Restricts a value to be within a specified range.</div>
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</td>
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</tr>
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Distance(float, float)">Distance</a></strong>(float value1,
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float value2)</code>
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<div class="block">Calculates the absolute value of the difference of two values.</div>
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</td>
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<tr class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Hermite(float, float, float, float, float)">Hermite</a></strong>(float value1,
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float tangent1,
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float value2,
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float tangent2,
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float amount)</code>
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<div class="block">Performs a Hermite spline interpolation.</div>
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</td>
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<tr class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Lerp(float, float, float)">Lerp</a></strong>(float value1,
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float value2,
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float amount)</code>
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<div class="block">Linearly interpolates between two values.</div>
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</td>
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Max(float, float)">Max</a></strong>(float value1,
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float value2)</code>
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<div class="block">Returns the greater of two values.</div>
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</td>
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#Min(float, float)">Min</a></strong>(float value1,
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float value2)</code>
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<div class="block">Returns the lesser of two values.</div>
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</td>
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#SmoothStep(float, float, float)">SmoothStep</a></strong>(float value1,
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float value2,
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float amount)</code>
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<div class="block">Interpolates between two values using a cubic equation.</div>
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</td>
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</tr>
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<tr class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#ToDegrees(float)">ToDegrees</a></strong>(float radians)</code>
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<div class="block">Converts radians to degrees.</div>
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</td>
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</tr>
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<tr class="altColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#ToRadians(float)">ToRadians</a></strong>(float degrees)</code>
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<div class="block">Converts degrees to radians.</div>
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</td>
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</tr>
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<tr class="rowColor">
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<td class="colFirst"><code>static float</code></td>
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<td class="colLast"><code><strong><a href="../../../Microsoft/Xna/Framework/MathHelper.html#WrapAngle(float)">WrapAngle</a></strong>(float angle)</code>
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<div class="block">Reduces a given angle to a value between π and -π.</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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<h4>E</h4>
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<pre>public static final float E</pre>
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<div class="block">Represents the mathematical constant e.</div>
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<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#Microsoft.Xna.Framework.MathHelper.E">Constant Field Values</a></dd></dl>
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<h4>Log10E</h4>
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<pre>public static final float Log10E</pre>
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<div class="block">Represents the log base ten of e.</div>
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<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#Microsoft.Xna.Framework.MathHelper.Log10E">Constant Field Values</a></dd></dl>
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<h4>Log2E</h4>
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<pre>public static final float Log2E</pre>
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<div class="block">Represents the log base two of e.</div>
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<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#Microsoft.Xna.Framework.MathHelper.Log2E">Constant Field Values</a></dd></dl>
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<h4>Pi</h4>
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<pre>public static final float Pi</pre>
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<div class="block">Represents the value of pi.</div>
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<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#Microsoft.Xna.Framework.MathHelper.Pi">Constant Field Values</a></dd></dl>
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<h4>PiOver2</h4>
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<pre>public static final float PiOver2</pre>
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<div class="block">Represents the value of pi divided by two.</div>
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<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#Microsoft.Xna.Framework.MathHelper.PiOver2">Constant Field Values</a></dd></dl>
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<h4>PiOver4</h4>
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<pre>public static final float PiOver4</pre>
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<div class="block">Represents the value of pi divided by four.</div>
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<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#Microsoft.Xna.Framework.MathHelper.PiOver4">Constant Field Values</a></dd></dl>
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<h4>TwoPi</h4>
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<pre>public static final float TwoPi</pre>
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<div class="block">Represents the value of pi times two.</div>
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<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../constant-values.html#Microsoft.Xna.Framework.MathHelper.TwoPi">Constant Field Values</a></dd></dl>
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<h3>Method Detail</h3>
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<a name="Barycentric(float, float, float, float, float)">
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<h4>Barycentric</h4>
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<pre>public static float Barycentric(float value1,
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float value2,
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float value3,
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float amount1,
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float amount2)</pre>
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<div class="block">Returns the Cartesian coordinate for one axis of a point that is defined by a given triangle and two normalized barycentric (areal) coordinates.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value1</code> - The coordinate on one axis of vertex 1 of the defining triangle.</dd><dd><code>value2</code> - The coordinate on the same axis of vertex 2 of the defining triangle.</dd><dd><code>value3</code> - The coordinate on the same axis of vertex 3 of the defining triangle.</dd><dd><code>amount1</code> - The normalized barycentric (areal) coordinate b2, equal to the weighting factor for vertex 2, the coordinate of which is specified in value2.</dd><dd><code>amount2</code> - The normalized barycentric (areal) coordinate b3, equal to the weighting factor for vertex 3, the coordinate of which is specified in value3.</dd></dl>
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</li>
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<a name="CatmullRom(float, float, float, float, float)">
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<h4>CatmullRom</h4>
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<pre>public static float CatmullRom(float value1,
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float value2,
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float value3,
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float value4,
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float amount)</pre>
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<div class="block">Performs a Catmull-Rom interpolation using the specified positions.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value1</code> - The first position in the interpolation.</dd><dd><code>value2</code> - The second position in the interpolation.</dd><dd><code>value3</code> - The third position in the interpolation.</dd><dd><code>value4</code> - The fourth position in the interpolation.</dd><dd><code>amount</code> - Weighting factor.</dd></dl>
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<h4>Clamp</h4>
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<pre>public static float Clamp(float value,
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float min,
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float max)</pre>
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<div class="block">Restricts a value to be within a specified range. Reference page contains links to related code samples.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value</code> - The value to clamp.</dd><dd><code>min</code> - The minimum value. If value is less than min, min will be returned.</dd><dd><code>max</code> - The maximum value. If value is greater than max, max will be returned.</dd></dl>
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<h4>Distance</h4>
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<pre>public static float Distance(float value1,
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float value2)</pre>
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<div class="block">Calculates the absolute value of the difference of two values.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value1</code> - Source value.</dd><dd><code>value2</code> - Source value.</dd></dl>
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</li>
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<h4>Hermite</h4>
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<pre>public static float Hermite(float value1,
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float tangent1,
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float value2,
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float tangent2,
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float amount)</pre>
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<div class="block">Performs a Hermite spline interpolation.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value1</code> - Source position.</dd><dd><code>tangent1</code> - Source tangent.</dd><dd><code>value2</code> - Source position.</dd><dd><code>tangent2</code> - Source tangent.</dd><dd><code>amount</code> - Weighting factor.</dd></dl>
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<h4>Lerp</h4>
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<pre>public static float Lerp(float value1,
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float value2,
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float amount)</pre>
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<div class="block">Linearly interpolates between two values.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value1</code> - Source value.</dd><dd><code>value2</code> - Source value.</dd><dd><code>amount</code> - Value between 0 and 1 indicating the weight of value2.</dd></dl>
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<h4>Max</h4>
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<pre>public static float Max(float value1,
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float value2)</pre>
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<div class="block">Returns the greater of two values.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value1</code> - Source value.</dd><dd><code>value2</code> - Source value.</dd></dl>
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<a name="Min(float, float)">
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<h4>Min</h4>
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<pre>public static float Min(float value1,
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float value2)</pre>
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<div class="block">Returns the lesser of two values.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value1</code> - Source value.</dd><dd><code>value2</code> - Source value.</dd></dl>
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<h4>SmoothStep</h4>
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<pre>public static float SmoothStep(float value1,
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float value2,
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float amount)</pre>
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<div class="block">Interpolates between two values using a cubic equation.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>value1</code> - Source value.</dd><dd><code>value2</code> - Source value.</dd><dd><code>amount</code> - Weighting value.</dd></dl>
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<h4>ToDegrees</h4>
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<pre>public static float ToDegrees(float radians)</pre>
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<div class="block">Converts radians to degrees.</div>
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<h4>ToRadians</h4>
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<pre>public static float ToRadians(float degrees)</pre>
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<div class="block">Converts degrees to radians.</div>
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<h4>WrapAngle</h4>
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<pre>public static float WrapAngle(float angle)</pre>
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<div class="block">Reduces a given angle to a value between π and -π.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>angle</code> - The angle to reduce, in radians.</dd></dl>
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