Added InverseSqrtFast. Vector2.LengthFast uses this to approximate the magnitude.
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2 changed files with 22 additions and 3 deletions
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@ -15,9 +15,28 @@ namespace OpenTK.Math
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/// </summary>
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public static class Functions
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{
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public static float SqrtFast(float p)
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/// <summary>
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/// Returns an approximation of the inverse square root of a number.
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/// </summary>
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/// <param name="x">A number.</param>
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/// <returns>An approximation of the inverse square root of the specified number, with an upper error bound of 0.001</returns>
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/// <remarks>
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/// This is an improved implementation of the the method known as Carmack's inverse square root
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/// which is found in the Quake III source code. This implementation comes from
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/// http://www.codemaestro.com/reviews/review00000105.html. For the history of this method, see
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/// http://www.beyond3d.com/content/articles/8/
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/// </remarks>
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public static float InverseSqrtFast(float x)
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{
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throw new Exception("The method or operation is not implemented.");
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unsafe
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{
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float xhalf = 0.5f * x;
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int i = *(int*)&x; // Read bits as integer.
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i = 0x5f375a86 - (i >> 1); // Make an initial guess for Newton-Raphson approximation
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x = *(float*)&i; // Convert bits back to float
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x = x * (1.5f - xhalf * x * x); // Perform a single Newton-Raphson step.
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return x;
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}
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}
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}
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@ -160,7 +160,7 @@ namespace OpenTK.Math
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{
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get
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{
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return OpenTK.Math.Functions.SqrtFast(X * X + Y * Y);
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return OpenTK.Math.Functions.InverseSqrtFast(X * X + Y * Y);
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}
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}
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