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Rework Sqrt methods
Implemented using a method invented by Isaac Newton, authored by SLenik on StackOverflow CC-BY-SA 3.0 https://stackoverflow.com/a/6755197/1467293
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@ -208,10 +208,35 @@ public static class DoubleExtensions
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/// <see cref="ComplexSqrt" />.
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/// </remarks>
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/// <seealso cref="ComplexSqrt" />
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/// <author>SLenik https://stackoverflow.com/a/6755197/1467293</author>
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/// <license>CC BY-SA 3.0</license>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static double Sqrt(this double value)
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{
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return Math.Sqrt(value);
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switch (value)
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{
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case 0:
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return 0;
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case < 0 or double.NaN:
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return double.NaN;
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case double.PositiveInfinity:
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return double.PositiveInfinity;
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}
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double previous;
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double current = Math.Sqrt(value);
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do
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{
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previous = current;
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if (previous == 0.0)
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{
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return 0;
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}
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current = (previous + value / previous) / 2;
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} while (Math.Abs(previous - current) > double.Epsilon);
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return current;
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}
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}
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@ -207,10 +207,35 @@ public static class SingleExtensions
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/// <see cref="ComplexSqrt" />.
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/// </remarks>
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/// <seealso cref="ComplexSqrt" />
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/// <author>SLenik https://stackoverflow.com/a/6755197/1467293</author>
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/// <license>CC BY-SA 3.0</license>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Sqrt(this float value)
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{
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return MathF.Sqrt(value);
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switch (value)
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{
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case 0:
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return 0;
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case < 0 or float.NaN:
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return float.NaN;
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case float.PositiveInfinity:
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return float.PositiveInfinity;
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}
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float previous;
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float current = MathF.Sqrt(value);
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do
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{
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previous = current;
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if (previous == 0.0f)
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{
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return 0;
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}
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current = (previous + value / previous) / 2;
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} while (MathF.Abs(previous - current) > float.Epsilon);
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return current;
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}
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}
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