mirror of
https://github.com/oliverbooth/X10D
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Move Math/Numerics float extensions to child namespaces (#7)
This commit is contained in:
parent
c8d8e212e2
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@ -1,6 +1,5 @@
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using System.Diagnostics.Contracts;
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using System.Runtime.CompilerServices;
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using X10D.Numerics;
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namespace X10D.Math;
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313
X10D/src/Math/SingleExtensions.cs
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313
X10D/src/Math/SingleExtensions.cs
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@ -0,0 +1,313 @@
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using System.Diagnostics.Contracts;
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using System.Runtime.CompilerServices;
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namespace X10D.Math;
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/// <summary>
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/// Extension methods for <see cref="float" />.
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/// </summary>
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public static class SingleExtensions
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{
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/// <summary>
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/// Returns the arccosine of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a cosine, which must be greater than or equal to -1, but less than or equal to 1.
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/// </param>
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/// <returns>
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/// The arccosine of <paramref name="value" />, θ, measured in radians; such that 0 ≤ θ ≤ π. If <paramref name="value" />
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/// is equal to <see cref="float.NaN" />, less than -1, or greater than 1, <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Acos(this float value)
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{
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return MathF.Acos(value);
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}
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/// <summary>
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/// Returns the hyperbolic arccosine of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a hyperbolic cosine, which must be greater than or equal to 1, but less than or equal to
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/// <see cref="float.PositiveInfinity" />.
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/// </param>
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/// <returns>
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/// The hyperbolic arccosine of <paramref name="value" />, θ, measured in radians; such that 0 ≤ θ ≤ ∞. If
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/// <paramref name="value" /> is less than 1 or equal to <see cref="float.NaN" />, <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Acosh(this float value)
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{
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return MathF.Acosh(value);
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}
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/// <summary>
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/// Returns the arcsine of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a sine, which must be greater than or equal to -1, but less than or equal to 1.
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/// </param>
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/// <returns>
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/// The arccosine of <paramref name="value" />, θ, measured in radians; such that π/2 ≤ θ ≤ π/2. If
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/// <paramref name="value" /> is equal to <see cref="float.NaN" />, less than -1, or greater than 1,
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/// <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Asin(this float value)
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{
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return MathF.Asin(value);
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}
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/// <summary>
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/// Returns the hyperbolic arcsine of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a hyperbolic sine, which must be greater than or equal to 1, but less than or equal to
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/// <see cref="float.PositiveInfinity" />.
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/// </param>
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/// <returns>
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/// The hyperbolic arccosine of <paramref name="value" />, measured in radians. If <paramref name="value" /> is equal to
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/// <see cref="float.NaN" />, <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Asinh(this float value)
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{
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return MathF.Asinh(value);
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}
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/// <summary>
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/// Returns the arctangent of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a tangent, which must be greater than or equal to -1, but less than or equal to 1.
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/// </param>
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/// <returns>
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/// The arctangent of <paramref name="value" />, θ, measured in radians; such that π/2 ≤ θ ≤ π/2. If
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/// <paramref name="value" /> is equal to <see cref="float.NaN" />, <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Atan(this float value)
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{
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return MathF.Atan(value);
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}
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/// <summary>
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/// Returns the hyperbolic arctangent of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a hyperbolic tangent, which must be greater than or equal to 1, but less than or equal to
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/// <see cref="float.PositiveInfinity" />.
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/// </param>
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/// <returns>
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/// The hyperbolic arctangent of <paramref name="value" />, θ, measured in radians; such that -∞ < θ < -1, or 1 <
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/// θ < ∞. If <paramref name="value" /> is equal to <see cref="float.NaN" />, less than -1, or greater than 1,
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/// <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Atanh(this float value)
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{
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return MathF.Atanh(value);
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}
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/// <summary>
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/// Returns the cosine of the specified angle.
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/// </summary>
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/// <param name="value">The angle, measured in radians.</param>
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/// <returns>
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/// The cosine of <paramref name="value" />. If <paramref name="value" /> is equal to <see cref="float.NaN" />,
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/// <see cref="float.NegativeInfinity" />, or <see cref="float.PositiveInfinity" />, this method returns
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/// <see cref="float.NaN" />.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Cos(this float value)
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{
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return MathF.Cos(value);
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}
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/// <summary>
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/// Returns the hyperbolic cosine of the specified angle.
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/// </summary>
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/// <param name="value">The angle, measured in radians.</param>
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/// <returns>
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/// The hyperbolic cosine of <paramref name="value" />. If <paramref name="value" /> is equal to
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/// <see cref="float.NegativeInfinity" /> or <see cref="float.PositiveInfinity" />,
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/// <see cref="float.PositiveInfinity" /> is returned. If <paramref name="value" /> is equal to
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/// <see cref="float.NaN" />, <see cref="double.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Cosh(this float value)
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{
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return MathF.Cosh(value);
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}
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/// <summary>
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/// Returns an integer that indicates the sign of this single-precision floating-point number.
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/// </summary>
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/// <param name="value">A signed number.</param>
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/// <returns>
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/// A number that indicates the sign of <paramref name="value" />, as shown in the following table.
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///
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/// <list type="table">
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/// <listheader>
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/// <term>Return value</term>
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/// <description>Meaning</description>
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/// </listheader>
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///
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/// <item>
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/// <term>-1</term>
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/// <description><paramref name="value" /> is less than zero.</description>
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/// </item>
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/// <item>
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/// <term>0</term>
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/// <description><paramref name="value" /> is equal to zero.</description>
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/// </item>
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/// <item>
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/// <term>1</term>
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/// <description><paramref name="value" /> is greater than zero.</description>
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/// </item>
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/// </list>
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static int Sign(this float value)
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{
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return MathF.Sign(value);
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}
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/// <summary>
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/// Returns the square root of this single-precision floating-point number.
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/// </summary>
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/// <param name="value">The number whose square root is to be found.</param>
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/// <returns>
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/// One of the values in the following table.
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///
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/// <list type="table">
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/// <listheader>
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/// <term>Return value</term>
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/// <description>Meaning</description>
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/// </listheader>
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///
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/// <item>
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/// <term>The positive square root of <paramref name="value" />.</term>
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/// <description><paramref name="value" /> is greater than or equal to 0.</description>
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/// </item>
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/// <item>
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/// <term><see cref="float.NaN" /></term>
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/// <description><paramref name="value" /> is equal to <see cref="float.NaN" /> or is negative.</description>
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/// </item>
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/// <item>
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/// <term><see cref="float.PositiveInfinity" /></term>
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/// <description><paramref name="value" /> is equal to <see cref="float.PositiveInfinity" />.</description>
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/// </item>
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/// </list>
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/// </returns>
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/// <remarks>
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/// For negative input, this method returns <see cref="float.NaN" />. To receive a complex number, see
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/// <see cref="Numerics.SingleExtensions.ComplexSqrt" />.
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/// </remarks>
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/// <seealso cref="Numerics.SingleExtensions.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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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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/// <summary>
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/// Returns the sine of the specified angle.
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/// </summary>
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/// <param name="value">The angle, measured in radians.</param>
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/// <returns>
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/// The sine of <paramref name="value" />. If <paramref name="value" /> is equal to <see cref="double.NaN" />,
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/// <see cref="double.NegativeInfinity" />, or <see cref="double.PositiveInfinity" />, this method returns
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/// <see cref="double.NaN" />.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Sin(this float value)
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{
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return MathF.Sin(value);
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}
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/// <summary>
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/// Returns the hyperbolic sine of the specified angle.
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/// </summary>
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/// <param name="value">The angle, measured in radians.</param>
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/// <returns>
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/// The hyperbolic sine of <paramref name="value" />. If <paramref name="value" /> is equal to <see cref="float.NaN" />,
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/// <see cref="float.NegativeInfinity" />, or <see cref="float.PositiveInfinity" />, this method returns
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/// <see cref="float.NaN" />.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Sinh(this float value)
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{
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return MathF.Sinh(value);
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}
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/// <summary>
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/// Returns the tangent of the specified angle.
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/// </summary>
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/// <param name="value">The angle, measured in radians.</param>
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/// <returns>
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/// The tangent of <paramref name="value" />. If <paramref name="value" /> is equal to <see cref="float.NaN" />,
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/// <see cref="float.NegativeInfinity" />, or <see cref="float.PositiveInfinity" />, this method returns
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/// <see cref="float.NaN" />.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Tan(this float value)
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{
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return MathF.Sin(value);
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}
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/// <summary>
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/// Returns the hyperbolic tangent of the specified angle.
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/// </summary>
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/// <param name="value">The angle, measured in radians.</param>
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/// <returns>
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/// The hyperbolic tangent of <paramref name="value" />. If <paramref name="value" /> is equal to
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/// <see cref="float.NegativeInfinity" />, this method returns -1. If <paramref name="value" /> is equal to
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/// <see cref="float.PositiveInfinity" />, this method returns 1. If <paramref name="value" /> is equal to
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/// <see cref="float.NaN" />, this method returns <see cref="float.NaN" />.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Tanh(this float value)
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{
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return MathF.Tanh(value);
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}
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}
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@ -6,7 +6,7 @@ using X10D.Math;
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namespace X10D.Numerics;
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/// <summary>
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/// Extension methods which accept or return types within <see cref="System.Numerics" />.
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/// Extension methods for <see cref="double" />.
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/// </summary>
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public static class DoubleExtensions
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{
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35
X10D/src/Numerics/SingleExtensions.cs
Normal file
35
X10D/src/Numerics/SingleExtensions.cs
Normal file
@ -0,0 +1,35 @@
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using System.Diagnostics.Contracts;
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using System.Numerics;
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using System.Runtime.CompilerServices;
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using X10D.Math;
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namespace X10D.Numerics;
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/// <summary>
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/// Extension methods for <see cref="float" />.
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/// </summary>
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public static class SingleExtensions
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{
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/// <summary>
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/// Returns the complex square root of this single-precision floating-point number.
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/// </summary>
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/// <param name="value">The number whose square root is to be found.</param>
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/// <returns>The square root of <paramref name="value" />.</returns>
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/// <seealso cref="X10D.Math.SingleExtensions.Sqrt" />
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static Complex ComplexSqrt(this float value)
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{
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switch (value)
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{
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case float.PositiveInfinity:
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case float.NegativeInfinity:
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return Complex.Infinity;
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case float.NaN:
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return Complex.NaN;
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}
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float absoluteSqrt = MathF.Abs(value).Sqrt();
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return new Complex(absoluteSqrt, value >= 0 ? 0 : 1);
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}
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}
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@ -1,177 +1,10 @@
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using System.Diagnostics.Contracts;
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using System.Numerics;
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using System.Runtime.CompilerServices;
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namespace X10D;
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namespace X10D;
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/// <summary>
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/// Extension methods for <see cref="float" />.
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/// </summary>
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public static class SingleExtensions
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{
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/// <summary>
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/// Returns the arccosine of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a cosine, which must be greater than or equal to -1, but less than or equal to 1.
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/// </param>
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/// <returns>
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/// The arccosine of <paramref name="value" />, θ, measured in radians; such that 0 ≤ θ ≤ π. If <paramref name="value" />
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/// is equal to <see cref="float.NaN" />, less than -1, or greater than 1, <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Acos(this float value)
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{
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return MathF.Acos(value);
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}
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/// <summary>
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/// Returns the hyperbolic arccosine of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a hyperbolic cosine, which must be greater than or equal to 1, but less than or equal to
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/// <see cref="float.PositiveInfinity" />.
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/// </param>
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/// <returns>
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/// The hyperbolic arccosine of <paramref name="value" />, θ, measured in radians; such that 0 ≤ θ ≤ ∞. If
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/// <paramref name="value" /> is less than 1 or equal to <see cref="float.NaN" />, <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Acosh(this float value)
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{
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return MathF.Acosh(value);
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}
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/// <summary>
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/// Returns the arcsine of the specified value.
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/// </summary>
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/// <param name="value">
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/// The value representing a sine, which must be greater than or equal to -1, but less than or equal to 1.
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/// </param>
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/// <returns>
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/// The arccosine of <paramref name="value" />, θ, measured in radians; such that π/2 ≤ θ ≤ π/2. If
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/// <paramref name="value" /> is equal to <see cref="float.NaN" />, less than -1, or greater than 1,
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/// <see cref="float.NaN" /> is returned.
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/// </returns>
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[Pure]
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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public static float Asin(this float value)
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{
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return MathF.Asin(value);
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}
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/// <summary>
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/// Returns the hyperbolic arcsine of the specified value.
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/// </summary>
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||||
/// <param name="value">
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/// The value representing a hyperbolic sine, which must be greater than or equal to 1, but less than or equal to
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/// <see cref="float.PositiveInfinity" />.
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/// </param>
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/// <returns>
|
||||
/// The hyperbolic arccosine of <paramref name="value" />, measured in radians. If <paramref name="value" /> is equal to
|
||||
/// <see cref="float.NaN" />, <see cref="float.NaN" /> is returned.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Asinh(this float value)
|
||||
{
|
||||
return MathF.Asinh(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the arctangent of the specified value.
|
||||
/// </summary>
|
||||
/// <param name="value">
|
||||
/// The value representing a tangent, which must be greater than or equal to -1, but less than or equal to 1.
|
||||
/// </param>
|
||||
/// <returns>
|
||||
/// The arctangent of <paramref name="value" />, θ, measured in radians; such that π/2 ≤ θ ≤ π/2. If
|
||||
/// <paramref name="value" /> is equal to <see cref="float.NaN" />, <see cref="float.NaN" /> is returned.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Atan(this float value)
|
||||
{
|
||||
return MathF.Atan(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the hyperbolic arctangent of the specified value.
|
||||
/// </summary>
|
||||
/// <param name="value">
|
||||
/// The value representing a hyperbolic tangent, which must be greater than or equal to 1, but less than or equal to
|
||||
/// <see cref="float.PositiveInfinity" />.
|
||||
/// </param>
|
||||
/// <returns>
|
||||
/// The hyperbolic arctangent of <paramref name="value" />, θ, measured in radians; such that -∞ < θ < -1, or 1 <
|
||||
/// θ < ∞. If <paramref name="value" /> is equal to <see cref="float.NaN" />, less than -1, or greater than 1,
|
||||
/// <see cref="float.NaN" /> is returned.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Atanh(this float value)
|
||||
{
|
||||
return MathF.Atanh(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the complex square root of this single-precision floating-point number.
|
||||
/// </summary>
|
||||
/// <param name="value">The number whose square root is to be found.</param>
|
||||
/// <returns>The square root of <paramref name="value" />.</returns>
|
||||
/// <seealso cref="Sqrt" />
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static Complex ComplexSqrt(this float value)
|
||||
{
|
||||
switch (value)
|
||||
{
|
||||
case float.PositiveInfinity:
|
||||
case float.NegativeInfinity:
|
||||
return Complex.Infinity;
|
||||
case float.NaN:
|
||||
return Complex.NaN;
|
||||
}
|
||||
|
||||
float absoluteSqrt = MathF.Abs(value).Sqrt();
|
||||
return new Complex(absoluteSqrt, value >= 0 ? 0 : 1);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the cosine of the specified angle.
|
||||
/// </summary>
|
||||
/// <param name="value">The angle, measured in radians.</param>
|
||||
/// <returns>
|
||||
/// The cosine of <paramref name="value" />. If <paramref name="value" /> is equal to <see cref="float.NaN" />,
|
||||
/// <see cref="float.NegativeInfinity" />, or <see cref="float.PositiveInfinity" />, this method returns
|
||||
/// <see cref="float.NaN" />.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Cos(this float value)
|
||||
{
|
||||
return MathF.Cos(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the hyperbolic cosine of the specified angle.
|
||||
/// </summary>
|
||||
/// <param name="value">The angle, measured in radians.</param>
|
||||
/// <returns>
|
||||
/// The hyperbolic cosine of <paramref name="value" />. If <paramref name="value" /> is equal to
|
||||
/// <see cref="float.NegativeInfinity" /> or <see cref="float.PositiveInfinity" />,
|
||||
/// <see cref="float.PositiveInfinity" /> is returned. If <paramref name="value" /> is equal to
|
||||
/// <see cref="float.NaN" />, <see cref="double.NaN" /> is returned.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Cosh(this float value)
|
||||
{
|
||||
return MathF.Cosh(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Converts the current angle in degrees to its equivalent represented in radians.
|
||||
/// </summary>
|
||||
@ -290,167 +123,4 @@ public static class SingleExtensions
|
||||
{
|
||||
return MathF.Round(value / nearest) * nearest;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns an integer that indicates the sign of this single-precision floating-point number.
|
||||
/// </summary>
|
||||
/// <param name="value">A signed number.</param>
|
||||
/// <returns>
|
||||
/// A number that indicates the sign of <paramref name="value" />, as shown in the following table.
|
||||
///
|
||||
/// <list type="table">
|
||||
/// <listheader>
|
||||
/// <term>Return value</term>
|
||||
/// <description>Meaning</description>
|
||||
/// </listheader>
|
||||
///
|
||||
/// <item>
|
||||
/// <term>-1</term>
|
||||
/// <description><paramref name="value" /> is less than zero.</description>
|
||||
/// </item>
|
||||
/// <item>
|
||||
/// <term>0</term>
|
||||
/// <description><paramref name="value" /> is equal to zero.</description>
|
||||
/// </item>
|
||||
/// <item>
|
||||
/// <term>1</term>
|
||||
/// <description><paramref name="value" /> is greater than zero.</description>
|
||||
/// </item>
|
||||
/// </list>
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static int Sign(this float value)
|
||||
{
|
||||
return MathF.Sign(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the sine of the specified angle.
|
||||
/// </summary>
|
||||
/// <param name="value">The angle, measured in radians.</param>
|
||||
/// <returns>
|
||||
/// The sine of <paramref name="value" />. If <paramref name="value" /> is equal to <see cref="double.NaN" />,
|
||||
/// <see cref="double.NegativeInfinity" />, or <see cref="double.PositiveInfinity" />, this method returns
|
||||
/// <see cref="double.NaN" />.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Sin(this float value)
|
||||
{
|
||||
return MathF.Sin(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the hyperbolic sine of the specified angle.
|
||||
/// </summary>
|
||||
/// <param name="value">The angle, measured in radians.</param>
|
||||
/// <returns>
|
||||
/// The hyperbolic sine of <paramref name="value" />. If <paramref name="value" /> is equal to <see cref="float.NaN" />,
|
||||
/// <see cref="float.NegativeInfinity" />, or <see cref="float.PositiveInfinity" />, this method returns
|
||||
/// <see cref="float.NaN" />.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Sinh(this float value)
|
||||
{
|
||||
return MathF.Sinh(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the square root of this single-precision floating-point number.
|
||||
/// </summary>
|
||||
/// <param name="value">The number whose square root is to be found.</param>
|
||||
/// <returns>
|
||||
/// One of the values in the following table.
|
||||
///
|
||||
/// <list type="table">
|
||||
/// <listheader>
|
||||
/// <term>Return value</term>
|
||||
/// <description>Meaning</description>
|
||||
/// </listheader>
|
||||
///
|
||||
/// <item>
|
||||
/// <term>The positive square root of <paramref name="value" />.</term>
|
||||
/// <description><paramref name="value" /> is greater than or equal to 0.</description>
|
||||
/// </item>
|
||||
/// <item>
|
||||
/// <term><see cref="float.NaN" /></term>
|
||||
/// <description><paramref name="value" /> is equal to <see cref="float.NaN" /> or is negative.</description>
|
||||
/// </item>
|
||||
/// <item>
|
||||
/// <term><see cref="float.PositiveInfinity" /></term>
|
||||
/// <description><paramref name="value" /> is equal to <see cref="float.PositiveInfinity" />.</description>
|
||||
/// </item>
|
||||
/// </list>
|
||||
/// </returns>
|
||||
/// <remarks>
|
||||
/// For negative input, this method returns <see cref="float.NaN" />. To receive a complex number, see
|
||||
/// <see cref="ComplexSqrt" />.
|
||||
/// </remarks>
|
||||
/// <seealso cref="ComplexSqrt" />
|
||||
/// <author>SLenik https://stackoverflow.com/a/6755197/1467293</author>
|
||||
/// <license>CC BY-SA 3.0</license>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Sqrt(this float value)
|
||||
{
|
||||
switch (value)
|
||||
{
|
||||
case 0:
|
||||
return 0;
|
||||
case < 0 or float.NaN:
|
||||
return float.NaN;
|
||||
case float.PositiveInfinity:
|
||||
return float.PositiveInfinity;
|
||||
}
|
||||
|
||||
float previous;
|
||||
float current = MathF.Sqrt(value);
|
||||
do
|
||||
{
|
||||
previous = current;
|
||||
if (previous == 0.0f)
|
||||
{
|
||||
return 0;
|
||||
}
|
||||
|
||||
current = (previous + value / previous) / 2;
|
||||
} while (MathF.Abs(previous - current) > float.Epsilon);
|
||||
|
||||
return current;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the tangent of the specified angle.
|
||||
/// </summary>
|
||||
/// <param name="value">The angle, measured in radians.</param>
|
||||
/// <returns>
|
||||
/// The tangent of <paramref name="value" />. If <paramref name="value" /> is equal to <see cref="float.NaN" />,
|
||||
/// <see cref="float.NegativeInfinity" />, or <see cref="float.PositiveInfinity" />, this method returns
|
||||
/// <see cref="float.NaN" />.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Tan(this float value)
|
||||
{
|
||||
return MathF.Sin(value);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the hyperbolic tangent of the specified angle.
|
||||
/// </summary>
|
||||
/// <param name="value">The angle, measured in radians.</param>
|
||||
/// <returns>
|
||||
/// The hyperbolic tangent of <paramref name="value" />. If <paramref name="value" /> is equal to
|
||||
/// <see cref="float.NegativeInfinity" />, this method returns -1. If <paramref name="value" /> is equal to
|
||||
/// <see cref="float.PositiveInfinity" />, this method returns 1. If <paramref name="value" /> is equal to
|
||||
/// <see cref="float.NaN" />, this method returns <see cref="float.NaN" />.
|
||||
/// </returns>
|
||||
[Pure]
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static float Tanh(this float value)
|
||||
{
|
||||
return MathF.Tanh(value);
|
||||
}
|
||||
}
|
||||
|
Loading…
Reference in New Issue
Block a user