Files
stgsharp/StgSharp.Common/Math/Scalar/Sqrt.cs
T

78 lines
2.8 KiB
C#

//-----------------------------------------------------------------------
//-----------------------------------------------------------------------
// file="Sqrt.cs"
// Project: StgSharp
// AuthorGroup: Nitload Space
// Copyright (c) Nitload Space. All rights reserved.
//
// Permission is hereby granted, free of charge, to any person
// obtaining a copy of this software and associated documentation
// files (the “Software”), to deal in the Software without restriction,
// including without limitation the rights to use, copy, modify, merge,
// publish, distribute, sublicense, and/or sell copies of the Software,
// and to permit persons to whom the Software is furnished to do so,
// subject to the following conditions:
//
// The above copyright notice and
// this permission notice shall be included in all copies
// or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED “AS IS”,
// WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
// INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
// IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
// ARISING FROM, OUT OF OR IN CONNECTION WITH
// THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
//
//-----------------------------------------------------------------------
//-----------------------------------------------------------------------
using System;
using System.Runtime.CompilerServices;
namespace StgSharp.Math
{
public static partial class Scaler
{
public static unsafe float SeedSqrt( float x )
{
ArgumentOutOfRangeException.ThrowIfNegative( x );
if( x <= 1e-12 ) {
return 0;
}
uint a = *( uint* )&x;
uint f = a;
f >>= 23;
f /= 2;
f += 64;
a -= 0b_0011_1111_0000_0000_0000_0000_0000_0000;
uint e = a << 8;
e >>= 8;
e *= 0b_1101_0001;
e >>= 24;
e += 0b_0000_0000_0001_0000_1010_1000_1110_0010;
f <<= 23;
e += f;
float result = *( float* )&e;
result = ( result + ( x / result ) ) / 2;
return ( result + ( x / result ) ) / 2;
}
[MethodImpl( MethodImplOptions.AggressiveInlining )]
public static float Sqrt( float x )
{
return MathF.Sqrt( x );
/**/
}
[MethodImpl( MethodImplOptions.AggressiveInlining )]
public static double Sqrt( double x )
{
return System.Math.Sqrt( x );
}
}
}